You are viewing a plain text version of this content. The canonical link for it is here.
Posted to issues@commons.apache.org by GitBox <gi...@apache.org> on 2020/08/25 15:23:33 UTC

[GitHub] [commons-numbers] XenoAmess opened a new pull request #82: [NUMBERS-149] port functions / tests in commons-lang for Fraction.

XenoAmess opened a new pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82


   


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] coveralls edited a comment on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
coveralls edited a comment on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-680561210


   
   [![Coverage Status](https://coveralls.io/builds/33008024/badge)](https://coveralls.io/builds/33008024)
   
   Coverage remained the same at 99.634% when pulling **ea6a31870b4699745f39670e1a5571979fc484f0 on XenoAmess:port_commons_lang_Fraction** into **c3d173ae9cf25329644b87b8e064f56a2c31ea53 on apache:master**.
   


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477095962



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r478376559



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1148 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]

Review comment:
       For cases that are allowed in numbers and not lang I think the original assertion from lang should be commented out and replaced with new assertions. This would be:
   ```java
   // lang requires the sign to be in the numerator so this would throw.
   // numbers allows the sign to be in the denominator so this does not throw.
   // assertThrows(ArithmeticException.class, () -> Fraction.getReducedFraction(-7, Integer.MIN_VALUE));
   f = Fraction.of(-7, Integer.MIN_VALUE);
   assertEquals(1, f.signum());
   assertEquals(-7, f.getNumerator());
   assertEquals(Integer.MIN_VALUE, f.getDenominator());
   ```




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] coveralls edited a comment on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
coveralls edited a comment on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-680561210


   
   [![Coverage Status](https://coveralls.io/builds/33044971/badge)](https://coveralls.io/builds/33044971)
   
   Coverage increased (+0.002%) to 99.636% when pulling **80efbb7975580909da6e3977d110836db9c464aa on XenoAmess:port_commons_lang_Fraction** into **c3d173ae9cf25329644b87b8e064f56a2c31ea53 on apache:master**.
   


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r478417612



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1148 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476675948



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test
+//    public void testFactory_int_int_int() {
+//        Fraction f = null;
+//
+//        // zero
+//        f = Fraction.of(0, 0, 2);
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(2, 0, 2);
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(0, 1, 2);
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // normal
+//        f = Fraction.of(1, 1, 2);
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // negatives
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//
+//        // negative whole
+//        f = Fraction.of(-1, 6, 10);
+//        assertEquals(-8, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+//
+//        // zero denominator
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+//
+//        // very large
+//        f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+//        assertEquals(-1, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        // negative denominators not allowed in this constructor.
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+//    }
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // Can't reduce, negation will throw
+        Fraction.of(-7, Integer.MIN_VALUE);
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+//    @Test
+//    public void testFactory_String() {
+//        assertThrows(NullPointerException.class, () -> Fraction.from(null));
+//    }
+
+
+//    @Test
+//    public void testFactory_String_double() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0.0");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("0.2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("0.5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("0.66666");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+//    }
+
+//    @Test
+//    public void testFactory_String_proper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0 0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1 1/5");
+//        assertEquals(6, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("7 1/2");
+//        assertEquals(15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("1 2/4");
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-7 1/2");
+//        assertEquals(-15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-1 2/4");
+//        assertEquals(-3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+//    }
+
+//    @Test
+//    public void testFactory_String_improper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1/5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("1/2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("2/3");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("7/3");
+//        assertEquals(7, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("2/4");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+//    }
+
+//    @Test
+//    public void testGets() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 5, 6);
+//        assertEquals(23, f.getNumerator());
+//        assertEquals(3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(-3, 5, 6);
+//        assertEquals(-23, f.getNumerator());
+//        assertEquals(-3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+//        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+//        assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+//        assertEquals(0, f.getProperNumerator());
+//        assertEquals(1, f.getDenominator());
+//    }
+
+//    @Test
+//    public void testConversions() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 7, 8);
+//        assertEquals(3, f.intValue());
+//        assertEquals(3L, f.longValue());
+//        assertEquals(3.875f, f.floatValue(), 0.00001f);
+//        assertEquals(3.875d, f.doubleValue(), 0.00001d);
+//    }
+
+//    @Test
+//    public void testReduce() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        Fraction result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, -3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(2, -3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, 3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(2, 3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 1);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 100);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(result, Fraction.ZERO);
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 2);
+//        result = f.reduce();
+//        assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//    }
+
+//    @Test
+//    public void testreciprocal() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.of(4, 3);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(4, f.getDenominator());
+//
+//        f = Fraction.of(-15, 47);
+//        f = f.reciprocal();
+//        assertEquals(47, f.getNumerator());
+//        assertEquals(-15, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+//        Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+//
+//        f = Fraction.of(Integer.MAX_VALUE, 1);
+//        f = f.reciprocal();
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+//    }
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));

Review comment:
       @aherbert OK, I understand now. thanks.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-680556060


   > Can you rebase this on master to bring in the new pow() function and then we can see what is still not compatible between lang and numbers.
   
   @aherbert done.


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477096536



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] coveralls edited a comment on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
coveralls edited a comment on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-680561210


   
   [![Coverage Status](https://coveralls.io/builds/33050215/badge)](https://coveralls.io/builds/33050215)
   
   Coverage remained the same at 99.636% when pulling **da53215163ac0e53f16e0d70756d00815602cb87 on XenoAmess:port_commons_lang_Fraction** into **674f6da2d495031d3ea054dddad2818500b9728c on apache:master**.
   


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476674836



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test
+//    public void testFactory_int_int_int() {
+//        Fraction f = null;
+//
+//        // zero
+//        f = Fraction.of(0, 0, 2);
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(2, 0, 2);
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(0, 1, 2);
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // normal
+//        f = Fraction.of(1, 1, 2);
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // negatives
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//
+//        // negative whole
+//        f = Fraction.of(-1, 6, 10);
+//        assertEquals(-8, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+//
+//        // zero denominator
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+//
+//        // very large
+//        f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+//        assertEquals(-1, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        // negative denominators not allowed in this constructor.
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+//    }
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // Can't reduce, negation will throw
+        Fraction.of(-7, Integer.MIN_VALUE);
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+//    @Test
+//    public void testFactory_String() {
+//        assertThrows(NullPointerException.class, () -> Fraction.from(null));
+//    }
+
+
+//    @Test
+//    public void testFactory_String_double() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0.0");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("0.2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("0.5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("0.66666");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+//    }
+
+//    @Test
+//    public void testFactory_String_proper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0 0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1 1/5");
+//        assertEquals(6, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("7 1/2");
+//        assertEquals(15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("1 2/4");
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-7 1/2");
+//        assertEquals(-15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-1 2/4");
+//        assertEquals(-3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+//    }
+
+//    @Test
+//    public void testFactory_String_improper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1/5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("1/2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("2/3");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("7/3");
+//        assertEquals(7, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("2/4");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+//    }
+
+//    @Test
+//    public void testGets() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 5, 6);
+//        assertEquals(23, f.getNumerator());
+//        assertEquals(3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(-3, 5, 6);
+//        assertEquals(-23, f.getNumerator());
+//        assertEquals(-3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+//        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+//        assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+//        assertEquals(0, f.getProperNumerator());
+//        assertEquals(1, f.getDenominator());
+//    }
+
+//    @Test
+//    public void testConversions() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 7, 8);
+//        assertEquals(3, f.intValue());
+//        assertEquals(3L, f.longValue());
+//        assertEquals(3.875f, f.floatValue(), 0.00001f);
+//        assertEquals(3.875d, f.doubleValue(), 0.00001d);
+//    }
+
+//    @Test
+//    public void testReduce() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        Fraction result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, -3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(2, -3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, 3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(2, 3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 1);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 100);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(result, Fraction.ZERO);
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 2);
+//        result = f.reduce();
+//        assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//    }
+
+//    @Test
+//    public void testreciprocal() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.of(4, 3);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(4, f.getDenominator());
+//
+//        f = Fraction.of(-15, 47);
+//        f = f.reciprocal();
+//        assertEquals(47, f.getNumerator());
+//        assertEquals(-15, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+//        Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+//
+//        f = Fraction.of(Integer.MAX_VALUE, 1);
+//        f = f.reciprocal();
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+//    }
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));

Review comment:
       Wait until the fix to the pow() function in numbers-150. I think this test here is correct and numbers should change to throw the exception when zero is raised to a negative power.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] asfgit merged pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
asfgit merged pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82


   


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477084145



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class

Review comment:
       Add period at end of line `.`

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();

Review comment:
       Was there an assertion associated with this? Perhaps add some and a comment that this is possible in numbers:
   ```java
   // This is possible in numbers
   f = Fraction.of(Integer.MIN_VALUE, 1).negate();
   assertEquals(1, f.signum());
   assertEquals(Integer.MIN_VALUE, f.getNumerator());
   assertEquals(-1, f.getDenominator());
   ```

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);

Review comment:
       Possibly replace with:
   ```java
   f = Fraction.of(Integer.MIN_VALUE);
   ```

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }

Review comment:
       Again this is now possible:
   ```java
   // This is possible in numbers
   f = Fraction.of(Integer.MIN_VALUE, 1).abs();
   assertEquals(1, f.signum());
   assertEquals(Integer.MIN_VALUE, f.getNumerator());
   assertEquals(-1, f.getDenominator());
   ```

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of

Review comment:
       Add period at end of line and start with `<p>`

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+         *  assertEquals("-2147483648", f.toString());
+         *
+         *  f = Fraction.of(-1, 1, Integer.MAX_VALUE);

Review comment:
       Possibly replace with:
   ```java
   f = Fraction.of(-1).add(Fraction.of(1, Integer.MAX_VALUE));
   ```




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476660387



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test
+//    public void testFactory_int_int_int() {
+//        Fraction f = null;
+//
+//        // zero
+//        f = Fraction.of(0, 0, 2);
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(2, 0, 2);
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(0, 1, 2);
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // normal
+//        f = Fraction.of(1, 1, 2);
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // negatives
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//
+//        // negative whole
+//        f = Fraction.of(-1, 6, 10);
+//        assertEquals(-8, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+//
+//        // zero denominator
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+//
+//        // very large
+//        f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+//        assertEquals(-1, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        // negative denominators not allowed in this constructor.
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+//    }
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // Can't reduce, negation will throw
+        Fraction.of(-7, Integer.MIN_VALUE);
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+//    @Test
+//    public void testFactory_String() {
+//        assertThrows(NullPointerException.class, () -> Fraction.from(null));
+//    }
+
+
+//    @Test
+//    public void testFactory_String_double() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0.0");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("0.2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("0.5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("0.66666");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+//    }
+
+//    @Test
+//    public void testFactory_String_proper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0 0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1 1/5");
+//        assertEquals(6, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("7 1/2");
+//        assertEquals(15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("1 2/4");
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-7 1/2");
+//        assertEquals(-15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-1 2/4");
+//        assertEquals(-3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+//    }
+
+//    @Test
+//    public void testFactory_String_improper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1/5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("1/2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("2/3");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("7/3");
+//        assertEquals(7, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("2/4");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+//    }
+
+//    @Test
+//    public void testGets() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 5, 6);
+//        assertEquals(23, f.getNumerator());
+//        assertEquals(3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(-3, 5, 6);
+//        assertEquals(-23, f.getNumerator());
+//        assertEquals(-3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+//        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+//        assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+//        assertEquals(0, f.getProperNumerator());
+//        assertEquals(1, f.getDenominator());
+//    }
+
+//    @Test
+//    public void testConversions() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 7, 8);
+//        assertEquals(3, f.intValue());
+//        assertEquals(3L, f.longValue());
+//        assertEquals(3.875f, f.floatValue(), 0.00001f);
+//        assertEquals(3.875d, f.doubleValue(), 0.00001d);
+//    }
+
+//    @Test
+//    public void testReduce() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        Fraction result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, -3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(2, -3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, 3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(2, 3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 1);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 100);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(result, Fraction.ZERO);
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 2);
+//        result = f.reduce();
+//        assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//    }
+
+//    @Test
+//    public void testreciprocal() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.of(4, 3);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(4, f.getDenominator());
+//
+//        f = Fraction.of(-15, 47);
+//        f = f.reciprocal();
+//        assertEquals(47, f.getNumerator());
+//        assertEquals(-15, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+//        Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+//
+//        f = Fraction.of(Integer.MAX_VALUE, 1);
+//        f = f.reciprocal();
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+//    }
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));

Review comment:
       @aherbert So, we should change this test to non-throw, and do not throw in this situation in Fractions and BigFractions, and add some comments for this "feature". If I understand correctly?




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477099726



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);

Review comment:
       @aherbert  actually, what they want here is `f = Fraction.of(-1).add(Fraction.of(-1, Integer.MAX_VALUE));`




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477094957



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477095158



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] coveralls commented on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
coveralls commented on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-680561210


   
   [![Coverage Status](https://coveralls.io/builds/33004651/badge)](https://coveralls.io/builds/33004651)
   
   Coverage remained the same at 99.634% when pulling **2f3b93860518ff94f295a55d32eff8491bdd5c50 on XenoAmess:port_commons_lang_Fraction** into **c3d173ae9cf25329644b87b8e064f56a2c31ea53 on apache:master**.
   


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r478530080



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1161 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // lang cannot represent the unsimplified fraction with MIN_VALUE as the denominator
+        // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(4, Integer.MIN_VALUE));
+        // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(1, Integer.MIN_VALUE));
+        // numbers will always simplify the fraction
+        f = Fraction.of(4, Integer.MIN_VALUE);
+        assertEquals(-1, f.signum());
+        assertEquals(1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 4, f.getDenominator());
+        // numbers can use MIN_VALUE as the denominator
+        f = Fraction.of(1, Integer.MIN_VALUE);
+        assertEquals(-1, f.signum());
+        assertEquals(1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE, f.getDenominator());
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // lang requires the sign to be in the numerator so this would throw.
+        // numbers allows the sign to be in the denominator so this does not throw.

Review comment:
       Move this comment below the commented out assertion from lang. This is then the same as the other methods that comment out the lang assertion and then show the numbers functionality.
   
   If you rebase and squash then this is ready for merge. Thanks.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476651879



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477109483



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);

Review comment:
       @aherbert this sugests that `X Y/Z` parser thing is really confusing.
   And good to not have that parser in commons-numbers.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477094109



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477108960



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);

Review comment:
       OK. This refers to the next line so you are correct.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477095441



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+         *  assertEquals("-2147483648", f.toString());
+         *
+         *  f = Fraction.of(-1, 1, Integer.MAX_VALUE);

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r478535081



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1161 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // lang cannot represent the unsimplified fraction with MIN_VALUE as the denominator
+        // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(4, Integer.MIN_VALUE));
+        // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(1, Integer.MIN_VALUE));
+        // numbers will always simplify the fraction
+        f = Fraction.of(4, Integer.MIN_VALUE);
+        assertEquals(-1, f.signum());
+        assertEquals(1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 4, f.getDenominator());
+        // numbers can use MIN_VALUE as the denominator
+        f = Fraction.of(1, Integer.MIN_VALUE);
+        assertEquals(-1, f.signum());
+        assertEquals(1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE, f.getDenominator());
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // lang requires the sign to be in the numerator so this would throw.
+        // numbers allows the sign to be in the denominator so this does not throw.

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476658641



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test
+//    public void testFactory_int_int_int() {
+//        Fraction f = null;
+//
+//        // zero
+//        f = Fraction.of(0, 0, 2);
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(2, 0, 2);
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(0, 1, 2);
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // normal
+//        f = Fraction.of(1, 1, 2);
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // negatives
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//
+//        // negative whole
+//        f = Fraction.of(-1, 6, 10);
+//        assertEquals(-8, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+//
+//        // zero denominator
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+//
+//        // very large
+//        f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+//        assertEquals(-1, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        // negative denominators not allowed in this constructor.
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+//    }
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // Can't reduce, negation will throw
+        Fraction.of(-7, Integer.MIN_VALUE);

Review comment:
       @aherbert done.

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476637383



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);

Review comment:
       This is allowed in [numbers]. Removing the test makes the most sense.

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test

Review comment:
       Remove if these are not to be supported.

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test
+//    public void testFactory_int_int_int() {
+//        Fraction f = null;
+//
+//        // zero
+//        f = Fraction.of(0, 0, 2);
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(2, 0, 2);
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(0, 1, 2);
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // normal
+//        f = Fraction.of(1, 1, 2);
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // negatives
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//
+//        // negative whole
+//        f = Fraction.of(-1, 6, 10);
+//        assertEquals(-8, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+//
+//        // zero denominator
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+//
+//        // very large
+//        f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+//        assertEquals(-1, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        // negative denominators not allowed in this constructor.
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+//    }
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // Can't reduce, negation will throw
+        Fraction.of(-7, Integer.MIN_VALUE);

Review comment:
       This is allowed in [numbers]

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());

Review comment:
       All these constants need not be supported. Users can create whatever constants they require. The special constants ZERO and ONE are for the additive and multiplicative identity.

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());
+//        assertEquals(2, Fraction.ONE_HALF.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+//        assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+//        assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+//        assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+//
+//        assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+//        assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+//        assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+//
+//        assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+//        assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+//
+//        assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+//
+//        assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+//
+//        assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+//        assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // very large: can't represent as unsimplified fraction, although
+        Fraction.of(4, Integer.MIN_VALUE);
+        Fraction.of(1, Integer.MIN_VALUE);
+    }
+
+//    @Test
+//    public void testFactory_int_int_int() {
+//        Fraction f = null;
+//
+//        // zero
+//        f = Fraction.of(0, 0, 2);
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(2, 0, 2);
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.of(0, 1, 2);
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // normal
+//        f = Fraction.of(1, 1, 2);
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        // negatives
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+//
+//        // negative whole
+//        f = Fraction.of(-1, 6, 10);
+//        assertEquals(-8, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+//
+//        // zero denominator
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+//
+//        // very large
+//        f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+//        assertEquals(-1, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        // negative denominators not allowed in this constructor.
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+//    }
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        // Can't reduce, negation will throw
+        Fraction.of(-7, Integer.MIN_VALUE);
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+//    @Test
+//    public void testFactory_String() {
+//        assertThrows(NullPointerException.class, () -> Fraction.from(null));
+//    }
+
+
+//    @Test
+//    public void testFactory_String_double() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0.0");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("0.2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("0.5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("0.66666");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+//    }
+
+//    @Test
+//    public void testFactory_String_proper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0 0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1 1/5");
+//        assertEquals(6, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("7 1/2");
+//        assertEquals(15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("1 2/4");
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-7 1/2");
+//        assertEquals(-15, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("-1 2/4");
+//        assertEquals(-3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+//    }
+
+//    @Test
+//    public void testFactory_String_improper() {
+//        Fraction f = null;
+//
+//        f = Fraction.from("0/1");
+//        assertEquals(0, f.getNumerator());
+//        assertEquals(1, f.getDenominator());
+//
+//        f = Fraction.from("1/5");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(5, f.getDenominator());
+//
+//        f = Fraction.from("1/2");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.from("2/3");
+//        assertEquals(2, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("7/3");
+//        assertEquals(7, f.getNumerator());
+//        assertEquals(3, f.getDenominator());
+//
+//        f = Fraction.from("2/4");
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+//        assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+//    }
+
+//    @Test
+//    public void testGets() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 5, 6);
+//        assertEquals(23, f.getNumerator());
+//        assertEquals(3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(-3, 5, 6);
+//        assertEquals(-23, f.getNumerator());
+//        assertEquals(-3, f.getProperWhole());
+//        assertEquals(5, f.getProperNumerator());
+//        assertEquals(6, f.getDenominator());
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+//        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+//        assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+//        assertEquals(0, f.getProperNumerator());
+//        assertEquals(1, f.getDenominator());
+//    }
+
+//    @Test
+//    public void testConversions() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(3, 7, 8);
+//        assertEquals(3, f.intValue());
+//        assertEquals(3L, f.longValue());
+//        assertEquals(3.875f, f.floatValue(), 0.00001f);
+//        assertEquals(3.875d, f.doubleValue(), 0.00001d);
+//    }
+
+//    @Test
+//    public void testReduce() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        Fraction result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, -3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(2, -3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//
+//        f = Fraction.of(-2, 3);
+//        result = f.reduce();
+//        assertEquals(-2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(2, 3);
+//        result = f.reduce();
+//        assertEquals(2, result.getNumerator());
+//        assertEquals(3, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 1);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(f, result);
+//
+//        f = Fraction.of(0, 100);
+//        result = f.reduce();
+//        assertEquals(0, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//        assertSame(result, Fraction.ZERO);
+//
+//        f = Fraction.of(Integer.MIN_VALUE, 2);
+//        result = f.reduce();
+//        assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+//        assertEquals(1, result.getDenominator());
+//    }
+
+//    @Test
+//    public void testreciprocal() {
+//        Fraction f = null;
+//
+//        f = Fraction.of(50, 75);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(2, f.getDenominator());
+//
+//        f = Fraction.of(4, 3);
+//        f = f.reciprocal();
+//        assertEquals(3, f.getNumerator());
+//        assertEquals(4, f.getDenominator());
+//
+//        f = Fraction.of(-15, 47);
+//        f = f.reciprocal();
+//        assertEquals(47, f.getNumerator());
+//        assertEquals(-15, f.getDenominator());
+//
+//        assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+//        Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+//
+//        f = Fraction.of(Integer.MAX_VALUE, 1);
+//        f = f.reciprocal();
+//        assertEquals(1, f.getNumerator());
+//        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+//    }
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));

Review comment:
       This is currently failing. By design Fraction 0 / 1 is zero when raised to any non-zero power and 1 / 1 when raised to the power 0.
   
   Technically zero to the power of 0 is undefined (i.e. throw an exception). But in the interest of usability it can be represented as 1 so that computations can be performed for all numbers.
   
   There should be tests for this in the current test suite. Perhaps this is best addressed by more comments in the Fraction class on expected behaviour.
   




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r476658036



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1110 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+//        assertEquals(1, Fraction.ONE_HALF.getNumerator());

Review comment:
       @aherbert done.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] XenoAmess commented on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
XenoAmess commented on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-682046367


   @aherbert 
   sqruashed.
   please wait for travis-ci & recheck.


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r477107912



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1144 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class
+ *
+ * This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).negate();
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        Fraction.of(Integer.MIN_VALUE, 1).abs();
+    }
+
+    @Test
+    public void testPow() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(3, 5);
+        assertEquals(f, f.pow(1));
+        assertEquals(f, f.pow(1));
+
+        f = Fraction.of(3, 5);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(3, 5);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // check unreduced fractions stay that way.
+        f = Fraction.of(6, 10);
+        assertEquals(Fraction.ONE, f.pow(0));
+
+        f = Fraction.of(6, 10);
+        assertEquals(f, f.pow(1));
+        assertEquals(f.pow(1), Fraction.of(3, 5));
+
+        f = Fraction.of(6, 10);
+        f = f.pow(2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(3);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-1);
+        assertEquals(5, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(6, 10);
+        f = f.pow(-2);
+        assertEquals(25, f.getNumerator());
+        assertEquals(9, f.getDenominator());
+
+        // zero to any positive power is still zero.
+        f = Fraction.of(0, 1231);
+        f = f.pow(1);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+        f = f.pow(2);
+        assertEquals(0, f.compareTo(Fraction.ZERO));
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // zero to negative powers should throw an exception
+        final Fraction fr = f;
+        assertThrows(ArithmeticException.class, () -> fr.pow(-1));
+        assertThrows(ArithmeticException.class, () -> fr.pow(Integer.MIN_VALUE));
+
+        // one to any power is still one.
+        f = Fraction.of(1, 1);
+        f = f.pow(0);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(-1);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MAX_VALUE);
+        assertEquals(f, Fraction.ONE);
+        f = f.pow(Integer.MIN_VALUE);
+        assertEquals(f, Fraction.ONE);
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).pow(2));
+
+        // Numerator growing too negative during the pow operation.
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).pow(3));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(65536, 1).pow(2));
+    }
+
+    @Test
+    public void testAdd() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.add(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.add(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.add(f2);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.add(f2);
+        assertEquals(11, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(3, 8);
+        f2 = Fraction.of(1, 6);
+        f = f1.add(f2);
+        assertEquals(13, f.getNumerator());
+        assertEquals(24, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.add(f2);
+        assertSame(f2, f);
+        f = f2.add(f1);
+        assertSame(f2, f);
+
+        f1 = Fraction.of(-1, 13 * 13 * 2 * 2);
+        f2 = Fraction.of(-2, 13 * 17 * 2);
+        final Fraction fr = f1.add(f2);
+        assertEquals(13 * 13 * 17 * 2 * 2, fr.getDenominator());
+        assertEquals(-17 - 2 * 13 * 2, fr.getNumerator());
+
+        assertThrows(NullPointerException.class, () -> fr.add(null));
+
+        // if this fraction is added naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.add(f2);
+        assertEquals(52451, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3);
+        f = f1.add(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE - 1, 1);
+        f2 = Fraction.ONE;
+        f = f1.add(f2);
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction overflower = f;
+        assertThrows(ArithmeticException.class, () -> overflower.add(Fraction.ONE)); // should overflow
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).add(Fraction.of(-1, 5)));
+
+        final Fraction maxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> maxValue.add(maxValue));
+
+        final Fraction negativeMaxValue = Fraction.of(-Integer.MAX_VALUE, 1);
+        assertThrows(ArithmeticException.class, () -> negativeMaxValue.add(negativeMaxValue));
+
+        final Fraction f3 = Fraction.of(3, 327680);
+        final Fraction f4 = Fraction.of(2, 59049);
+        assertThrows(ArithmeticException.class, () -> f3.add(f4)); // should overflow
+    }
+
+    @Test
+    public void testSubtract() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 5);
+        f = f1.subtract(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(7, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(3, 5);
+        f = f1.subtract(f2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(7, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(4, 5);
+        f = f1.subtract(f2);
+        assertEquals(-4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(-4, 5);
+        f = f1.subtract(f2);
+        assertEquals(4, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(1, 2);
+        f = f1.subtract(f2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10, f.getDenominator());
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(1, 5);
+        f = f2.subtract(f1);
+        assertSame(f2, f);
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.subtract(null));
+
+        // if this fraction is subtracted naively, it will overflow.
+        // check that it doesn't.
+        f1 = Fraction.of(1, 32768 * 3);
+        f2 = Fraction.of(1, 59049);
+        f = f1.subtract(f2);
+        assertEquals(-13085, f.getNumerator());
+        assertEquals(1934917632, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, 3);
+        f2 = Fraction.of(1, 3).negate();
+        f = f1.subtract(f2);
+        assertEquals(Integer.MIN_VALUE + 1, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.ONE;
+        f = f1.subtract(f2);
+        assertEquals(Integer.MAX_VALUE - 1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, Integer.MAX_VALUE).subtract(Fraction.of(1, Integer.MAX_VALUE - 1)));
+        f = f1.subtract(f2);
+
+        // denominator should not be a multiple of 2 or 3 to trigger overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 5).subtract(Fraction.of(1, 5)));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MIN_VALUE, 1).subtract(Fraction.ONE));
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1).subtract(Fraction.ONE.negate()));
+
+        // Should overflow
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 327680).subtract(Fraction.of(2, 59049)));
+    }
+
+    @Test
+    public void testMultiply() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(6, 10);
+        f2 = Fraction.of(6, 10);
+        f = f1.multiply(f2);
+        assertEquals(9, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+        f = f.multiply(f2);
+        assertEquals(27, f.getNumerator());
+        assertEquals(125, f.getDenominator());
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(-6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+        f1 = Fraction.of(-3, 5);
+        f2 = Fraction.of(-2, 5);
+        f = f1.multiply(f2);
+        assertEquals(6, f.getNumerator());
+        assertEquals(25, f.getDenominator());
+
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.multiply(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.multiply(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MAX_VALUE, 1);
+        f2 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f = f1.multiply(f2);
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        final Fraction fr = f;
+        assertThrows(NullPointerException.class, () -> fr.multiply(null));
+
+        final Fraction fr1 = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr1.multiply(fr1));
+
+        final Fraction fr2 = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> fr2.multiply(fr2));
+    }
+
+    @Test
+    public void testDivide() {
+        Fraction f = null;
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        f = f1.divide(f2);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        assertThrows(ArithmeticException.class, () -> Fraction.of(3, 5).divide(Fraction.ZERO));
+
+        f1 = Fraction.of(0, 5);
+        f2 = Fraction.of(2, 7);
+        f = f1.divide(f2);
+        assertSame(Fraction.ZERO, f);
+
+        f1 = Fraction.of(2, 7);
+        f2 = Fraction.ONE;
+        f = f1.divide(f2);
+        assertEquals(2, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        f1 = Fraction.of(1, Integer.MAX_VALUE);
+        f = f1.divide(f1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f1 = Fraction.of(Integer.MIN_VALUE, Integer.MAX_VALUE);
+        f2 = Fraction.of(1, Integer.MAX_VALUE);
+        final Fraction fr = f1.divide(f2);
+        assertEquals(Integer.MIN_VALUE, fr.getNumerator());
+        assertEquals(1, fr.getDenominator());
+
+        assertThrows(NullPointerException.class, () -> fr.divide(null));
+
+        final Fraction smallest = Fraction.of(1, Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> smallest.divide(smallest.reciprocal())); // Should overflow
+
+        final Fraction negative = Fraction.of(1, -Integer.MAX_VALUE);
+        assertThrows(ArithmeticException.class, () -> negative.divide(negative.reciprocal())); // Should overflow
+    }
+
+    @Test
+    public void testEquals() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertNotEquals(null, f1);
+        assertNotEquals(f1, new Object());
+        assertNotEquals(f1, Integer.valueOf(6));
+
+        f1 = Fraction.of(3, 5);
+        f2 = Fraction.of(2, 5);
+        assertNotEquals(f1, f2);
+        assertEquals(f1, f1);
+        assertEquals(f2, f2);
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(f1, f2);
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1, f2);
+    }
+
+    @Test
+    public void testHashCode() {
+        final Fraction f1 = Fraction.of(3, 5);
+        Fraction f2 = Fraction.of(3, 5);
+
+        assertEquals(f1.hashCode(), f2.hashCode());
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.hashCode() != f2.hashCode());
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(f1.hashCode(), f2.hashCode());
+    }
+
+    @Test
+    public void testCompareTo() {
+        Fraction f1 = null;
+        Fraction f2 = null;
+
+        f1 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f1));
+
+        final Fraction fr = f1;
+        assertThrows(NullPointerException.class, () -> fr.compareTo(null));
+
+        f2 = Fraction.of(2, 5);
+        assertTrue(f1.compareTo(f2) > 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(4, 5);
+        assertTrue(f1.compareTo(f2) < 0);
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(3, 5);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        f2 = Fraction.of(6, 10);
+        assertEquals(0, f1.compareTo(f2));
+        assertEquals(0, f2.compareTo(f2));
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f2 = Fraction.of(-1, 1, Integer.MAX_VALUE);
+         *  assertTrue(f1.compareTo(f2) > 0);
+         *  assertEquals(0, f2.compareTo(f2));
+         */
+    }
+
+    @Test
+    public void testToString() {
+        Fraction f = null;
+
+        f = Fraction.of(3, 5);
+        final String str = f.toString();
+        assertEquals("3 / 5", str);
+        assertEquals(str, f.toString());
+
+        f = Fraction.of(7, 5);
+        assertEquals("7 / 5", f.toString());
+
+        f = Fraction.of(4, 2);
+        assertEquals("2", f.toString());
+
+        f = Fraction.of(0, 2);
+        assertEquals("0", f.toString());
+
+        f = Fraction.of(2, 2);
+        assertEquals("1", f.toString());
+
+        /*
+         *  Removed as not supported in numbers.
+         *
+         *  f = Fraction.of(Integer.MIN_VALUE, 0, 1);

Review comment:
       I thought this was creating `X Y/Z` with `Y=0` so effectively just creating a whole number.




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on a change in pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on a change in pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#discussion_r478379873



##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1148 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */

Review comment:
       Maintain the lang behaviour in comments
   ```java
   // lang cannot represent the unsimplified fraction with MIN_VALUE as the denominator
   // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(4, Integer.MIN_VALUE));
   // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(1, Integer.MIN_VALUE));
   // numbers will always simplify the fraction
   f = Fraction.of(4, Integer.MIN_VALUE);
   assertEquals(-1, f.signum());
   assertEquals(1, f.getNumerator());
   assertEquals(Integer.MIN_VALUE / 4, f.getDenominator());
   // numbers can use MIN_VALUE as the denominator
   f = Fraction.of(1, Integer.MIN_VALUE);
   assertEquals(-1, f.signum());
   assertEquals(1, f.getNumerator());
   assertEquals(Integer.MIN_VALUE, f.getDenominator());
   ```

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1148 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        // This is possible in numbers
+        f = Fraction.of(Integer.MIN_VALUE, 1).negate();
+        assertEquals(1, f.signum());
+        assertEquals(Integer.MIN_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+    }
+
+    @Test
+    public void testAbs() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.abs();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, 1);
+        f = f.abs();
+        assertEquals(Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(Integer.MAX_VALUE, -1);
+        f = f.abs();
+        assertEquals(-Integer.MAX_VALUE, f.getNumerator());
+        assertEquals(-1, f.getDenominator());
+
+        // This is possible in numbers

Review comment:
       Maintain the lang behaviour in comments
   ```java
   // lang requires the sign in the numerator and so cannot compute the absolute with MIN_VALUE as the numerator
   // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(Integer.MIN_VALUE, 1).abs());
   // numbers allows the sign in the numerator or denominator
   f = Fraction.of(Integer.MIN_VALUE, 1).abs();
   assertEquals(1, f.signum());
   assertEquals(Integer.MIN_VALUE, f.getNumerator());
   assertEquals(-1, f.getDenominator());
   ```

##########
File path: commons-numbers-fraction/src/test/java/org/apache/commons/numbers/fraction/CommonsLangPortedFractionTest.java
##########
@@ -0,0 +1,1148 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.numbers.fraction;
+
+import org.junit.jupiter.api.Test;
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotEquals;
+import static org.junit.jupiter.api.Assertions.assertSame;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+/**
+ * Test cases for the {@link Fraction} class.
+ *
+ * <p>This class is ported from commons lang to demonstrate interoperability of
+ * the Fraction class in numbers.</p>
+ */
+public class CommonsLangPortedFractionTest {
+
+    private static final int SKIP = 500;  //53
+
+    //--------------------------------------------------------------------------
+    @Test
+    public void testConstants() {
+        assertEquals(0, Fraction.ZERO.getNumerator());
+        assertEquals(1, Fraction.ZERO.getDenominator());
+
+        assertEquals(1, Fraction.ONE.getNumerator());
+        assertEquals(1, Fraction.ONE.getDenominator());
+
+        /*
+         *  All these constants need not be supported.
+         *  Users can create whatever constants they require.
+         *  The special constants ZERO and ONE are for the additive and multiplicative identity.
+         *
+         *  assertEquals(1, Fraction.ONE_HALF.getNumerator());
+         *  assertEquals(2, Fraction.ONE_HALF.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_THIRD.getNumerator());
+         *  assertEquals(3, Fraction.ONE_THIRD.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_THIRDS.getNumerator());
+         *  assertEquals(3, Fraction.TWO_THIRDS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_QUARTER.getNumerator());
+         *  assertEquals(4, Fraction.ONE_QUARTER.getDenominator());
+         *
+         *  assertEquals(1, Fraction.TWO_QUARTERS.getNumerator());
+         *  assertEquals(2, Fraction.TWO_QUARTERS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_QUARTERS.getNumerator());
+         *  assertEquals(4, Fraction.THREE_QUARTERS.getDenominator());
+         *
+         *  assertEquals(1, Fraction.ONE_FIFTH.getNumerator());
+         *  assertEquals(5, Fraction.ONE_FIFTH.getDenominator());
+         *
+         *  assertEquals(2, Fraction.TWO_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.TWO_FIFTHS.getDenominator());
+         *
+         *  assertEquals(3, Fraction.THREE_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.THREE_FIFTHS.getDenominator());
+         *
+         *  assertEquals(4, Fraction.FOUR_FIFTHS.getNumerator());
+         *  assertEquals(5, Fraction.FOUR_FIFTHS.getDenominator());
+         */
+    }
+
+    @Test
+    public void testFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(23, 345);
+        assertEquals(1, f.getNumerator());
+        assertEquals(15, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        /*
+         *  This is allowed in [numbers]. Removing the test makes the most sense.
+         *  // very large: can't represent as unsimplified fraction, although
+         *  Fraction.of(4, Integer.MIN_VALUE);
+         *  Fraction.of(1, Integer.MIN_VALUE);
+         */
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_int_int_int() {
+ *      Fraction f = null;
+ *
+ *      // zero
+ *      f = Fraction.of(0, 0, 2);
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(2, 0, 2);
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.of(0, 1, 2);
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // normal
+ *      f = Fraction.of(1, 1, 2);
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      // negatives
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, -6, -10));
+ *
+ *      // negative whole
+ *      f = Fraction.of(-1, 6, 10);
+ *      assertEquals(-8, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, 10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 6, -10));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -6, -10));
+ *
+ *      // zero denominator
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 1, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 2, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, -3, 0));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(Integer.MAX_VALUE, 1, 2));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-Integer.MAX_VALUE, 1, 2));
+ *
+ *      // very large
+ *      f = Fraction.of(-1, 0, Integer.MAX_VALUE);
+ *      assertEquals(-1, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      // negative denominators not allowed in this constructor.
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 4, Integer.MIN_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(1, 1, Integer.MAX_VALUE));
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(-1, 2, Integer.MAX_VALUE));
+ *  }
+ */
+
+    @Test
+    public void testReducedFactory_int_int() {
+        Fraction f = null;
+
+        // zero
+        f = Fraction.of(0, 1);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // normal
+        f = Fraction.of(1, 1);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 1);
+        assertEquals(2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // improper
+        f = Fraction.of(22, 7);
+        assertEquals(22, f.getNumerator());
+        assertEquals(7, f.getDenominator());
+
+        // negatives
+        f = Fraction.of(-6, 10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(5, f.getDenominator());
+
+        f = Fraction.of(6, -10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        f = Fraction.of(-6, -10);
+        assertEquals(-3, f.getNumerator());
+        assertEquals(-5, f.getDenominator());
+
+        // zero denominator
+        assertThrows(ArithmeticException.class, () -> Fraction.of(1, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(2, 0));
+        assertThrows(ArithmeticException.class, () -> Fraction.of(-3, 0));
+
+        // reduced
+        f = Fraction.of(0, 2);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 2);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        f = Fraction.of(2, 4);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(15, 10);
+        assertEquals(3, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        f = Fraction.of(121, 22);
+        assertEquals(11, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // Extreme values
+        // OK, can reduce before negating
+        f = Fraction.of(-2, Integer.MIN_VALUE);
+        assertEquals(-1, f.getNumerator());
+        assertEquals(Integer.MIN_VALUE / 2, f.getDenominator());
+
+        /*
+         *  This is allowed in [numbers]
+         *  // Can't reduce, negation will throw
+         *  Fraction.of(-7, Integer.MIN_VALUE);
+         */
+
+        // LANG-662
+        f = Fraction.of(Integer.MIN_VALUE, 2);
+        assertEquals(Integer.MIN_VALUE / 2, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+    }
+
+    @Test
+    public void testFactory_double() {
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NaN));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.POSITIVE_INFINITY));
+        assertThrows(IllegalArgumentException.class, () -> Fraction.from(Double.NEGATIVE_INFINITY));
+        Fraction.from((double) Integer.MAX_VALUE + 1);
+
+        // zero
+        Fraction f = Fraction.from(0.0d);
+        assertEquals(0, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one
+        f = Fraction.from(1.0d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(1, f.getDenominator());
+
+        // one half
+        f = Fraction.from(0.5d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(2, f.getDenominator());
+
+        // negative
+        f = Fraction.from(-0.875d);
+        assertEquals(-7, f.getNumerator());
+        assertEquals(8, f.getDenominator());
+
+        // over 1
+        f = Fraction.from(1.25d);
+        assertEquals(5, f.getNumerator());
+        assertEquals(4, f.getDenominator());
+
+        // two thirds
+        f = Fraction.from(0.66666d);
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // small
+        f = Fraction.from(1.0d / 10001d);
+        assertEquals(1, f.getNumerator());
+        assertEquals(10001, f.getDenominator());
+
+        // normal
+        Fraction f2 = null;
+        for (int i = 1; i <= 100; i++) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i);
+
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+        // save time by skipping some tests!  (
+        for (int i = 1001; i <= 10000; i += SKIP) {  // denominator
+            for (int j = 1; j <= i; j++) {  // numerator
+                f = Fraction.from((double) j / (double) i, 1e-8, 100);
+                f2 = Fraction.of(j, i);
+                assertEquals(f2.getNumerator(), f.getNumerator());
+                assertEquals(f2.getDenominator(), f.getDenominator());
+            }
+        }
+    }
+
+/*
+ *  Removed as not supported in numbers.
+ *
+ *  @Test
+ *  public void testFactory_String() {
+ *      assertThrows(NullPointerException.class, () -> Fraction.from(null));
+ *  }
+ *
+ *
+ *  @Test
+ *  public void testFactory_String_double() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0.0");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("0.2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("0.5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("0.66666");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2.3R"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2147483648")); // too big
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("."));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_proper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0 0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1 1/5");
+ *      assertEquals(6, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("7 1/2");
+ *      assertEquals(15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("1 2/4");
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-7 1/2");
+ *      assertEquals(-15, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("-1 2/4");
+ *      assertEquals(-3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("a 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 b/4"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2 "));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" 3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from(" "));
+ *  }
+ *
+ *  @Test
+ *  public void testFactory_String_improper() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.from("0/1");
+ *      assertEquals(0, f.getNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *
+ *      f = Fraction.from("1/5");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(5, f.getDenominator());
+ *
+ *      f = Fraction.from("1/2");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.from("2/3");
+ *      assertEquals(2, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("7/3");
+ *      assertEquals(7, f.getNumerator());
+ *      assertEquals(3, f.getDenominator());
+ *
+ *      f = Fraction.from("2/4");
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/d"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2e/3"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("2/"));
+ *      assertThrows(NumberFormatException.class, () -> Fraction.from("/"));
+ *  }
+ *
+ *  @Test
+ *  public void testGets() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 5, 6);
+ *      assertEquals(23, f.getNumerator());
+ *      assertEquals(3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(-3, 5, 6);
+ *      assertEquals(-23, f.getNumerator());
+ *      assertEquals(-3, f.getProperWhole());
+ *      assertEquals(5, f.getProperNumerator());
+ *      assertEquals(6, f.getDenominator());
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 0, 1);
+ *      assertEquals(Integer.MIN_VALUE, f.getNumerator());
+ *      assertEquals(Integer.MIN_VALUE, f.getProperWhole());
+ *      assertEquals(0, f.getProperNumerator());
+ *      assertEquals(1, f.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testConversions() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(3, 7, 8);
+ *      assertEquals(3, f.intValue());
+ *      assertEquals(3L, f.longValue());
+ *      assertEquals(3.875f, f.floatValue(), 0.00001f);
+ *      assertEquals(3.875d, f.doubleValue(), 0.00001d);
+ *  }
+ *
+ *  @Test
+ *  public void testReduce() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      Fraction result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, -3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(2, -3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *
+ *      f = Fraction.of(-2, 3);
+ *      result = f.reduce();
+ *      assertEquals(-2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(2, 3);
+ *      result = f.reduce();
+ *      assertEquals(2, result.getNumerator());
+ *      assertEquals(3, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 1);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(f, result);
+ *
+ *      f = Fraction.of(0, 100);
+ *      result = f.reduce();
+ *      assertEquals(0, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *      assertSame(result, Fraction.ZERO);
+ *
+ *      f = Fraction.of(Integer.MIN_VALUE, 2);
+ *      result = f.reduce();
+ *      assertEquals(Integer.MIN_VALUE / 2, result.getNumerator());
+ *      assertEquals(1, result.getDenominator());
+ *  }
+ *
+ *  @Test
+ *  public void testreciprocal() {
+ *      Fraction f = null;
+ *
+ *      f = Fraction.of(50, 75);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(2, f.getDenominator());
+ *
+ *      f = Fraction.of(4, 3);
+ *      f = f.reciprocal();
+ *      assertEquals(3, f.getNumerator());
+ *      assertEquals(4, f.getDenominator());
+ *
+ *      f = Fraction.of(-15, 47);
+ *      f = f.reciprocal();
+ *      assertEquals(47, f.getNumerator());
+ *      assertEquals(-15, f.getDenominator());
+ *
+ *      assertThrows(ArithmeticException.class, () -> Fraction.of(0, 3).reciprocal());
+ *      Fraction.of(Integer.MIN_VALUE, 1).reciprocal();
+ *
+ *      f = Fraction.of(Integer.MAX_VALUE, 1);
+ *      f = f.reciprocal();
+ *      assertEquals(1, f.getNumerator());
+ *      assertEquals(Integer.MAX_VALUE, f.getDenominator());
+ *  }
+ */
+
+    @Test
+    public void testNegate() {
+        Fraction f = null;
+
+        f = Fraction.of(50, 75);
+        f = f.negate();
+        assertEquals(-2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        f = Fraction.of(-50, 75);
+        f = f.negate();
+        assertEquals(2, f.getNumerator());
+        assertEquals(3, f.getDenominator());
+
+        // large values
+        f = Fraction.of(Integer.MAX_VALUE - 1, Integer.MAX_VALUE);
+        f = f.negate();
+        assertEquals(Integer.MIN_VALUE + 2, f.getNumerator());
+        assertEquals(Integer.MAX_VALUE, f.getDenominator());
+
+        // This is possible in numbers

Review comment:
       Maintain the lang behaviour in comments
   ```java
   // lang requires the sign in the numerator and so cannot negate MIN_VALUE as the numerator
   // assertThrows(ArithmeticException.class, () -> Fraction.getFraction(Integer.MIN_VALUE, 1).negate());
   // numbers allows the sign in the numerator or denominator
   f = Fraction.of(Integer.MIN_VALUE, 1).negate();
   assertEquals(1, f.signum());
   assertEquals(Integer.MIN_VALUE, f.getNumerator());
   assertEquals(-1, f.getDenominator());
   ```




----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org



[GitHub] [commons-numbers] aherbert commented on pull request #82: [NUMBERS-149] port tests in commons-lang for Fraction.

Posted by GitBox <gi...@apache.org>.
aherbert commented on pull request #82:
URL: https://github.com/apache/commons-numbers/pull/82#issuecomment-680303835


   Can you rebase this on master to bring in the new pow() function and then we can see what is still not compatible between lang and numbers.


----------------------------------------------------------------
This is an automated message from the Apache Git Service.
To respond to the message, please log on to GitHub and use the
URL above to go to the specific comment.

For queries about this service, please contact Infrastructure at:
users@infra.apache.org