[GitHub] [incubator-tvm] yzhliu commented on a change in pull request #5171: [Arith] linear system and equation solver

[GitBox <gi...@apache.org>]

yzhliu commented on a change in pull request #5171: [Arith] linear system and equation solver
URL: https://github.com/apache/incubator-tvm/pull/5171#discussion_r401382116
 
 

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 File path: tests/python/unittest/test_arith_solve_linear_system.py
 ##########
 @@ -0,0 +1,91 @@
+# 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.
+import tvm
+from tvm import te, arith
+from tvm.tir import ir_pass
+
+
+def test_unique_solution():
+    x, y = te.var("x"), te.var("y")
+    ranges = {}
+
+    solution = arith.solve_equations([
+        tvm.tir.EQ(x + y, 20),
+        tvm.tir.EQ(x - y, 10),
+    ], [x, y], ranges)
+    assert list(solution.dst.variables) == []
+    assert ir_pass.Equal(solution.src_to_dst[x], 15)
+    assert ir_pass.Equal(solution.src_to_dst[y], 5)
+
+
+def test_low_rank():
+    x, y, z = te.var("x"), te.var("y"), te.var("z")
+    ranges = {}
+
+    solution = arith.solve_equations([
+        tvm.tir.EQ(x + y + z, 15),
+        tvm.tir.EQ(x + y, 10),
+    ], [x, y, z], ranges)
+    [n0] = solution.dst.variables
+    assert ir_pass.Equal(solution.src_to_dst[x], n0 + 10)
+    assert ir_pass.Equal(solution.src_to_dst[y], -n0)
+    assert ir_pass.Equal(solution.src_to_dst[z], 5)
+
+
+def test_infer_range():
+    x, y = te.var("x"), te.var("y")
+    ranges = {
+        x: tvm.ir.Range.make_by_min_extent(-5, 10),
+        y: tvm.ir.Range.make_by_min_extent(0, 10),
+    }
+
+    solution = arith.solve_equations([
+        tvm.tir.EQ(x + y, 0),
+    ], [x, y], ranges)
+    [n0] = solution.dst.variables
+    assert ir_pass.Equal(solution.src_to_dst[x], n0)
+    assert ir_pass.Equal(solution.src_to_dst[y], -n0)
+    # inferred from y's range
+    assert ir_pass.Equal(solution.dst.ranges[n0].min, -9)
+    assert ir_pass.Equal(solution.dst.ranges[n0].extent, 10)
+    # additional inequality is added into the system for x
+    [ineq] = solution.dst.relations
+    assert isinstance(ineq, tvm.tir.LE)
+    assert ir_pass.Equal(ineq.a, -5)
+    assert ir_pass.Equal(ineq.b, n0)
+
+
+def test_ill_formed():
+    x, y = te.var("x"), te.var("y")
+
+    solution = arith.solve_equations([
+        tvm.tir.EQ(x + y, 0),
+        tvm.tir.EQ(x - y, 0),
+        tvm.tir.EQ(x, 5),
+    ], [x, y], {})
+    assert list(solution.dst.variables) == []
+    [rel] = solution.dst.relations
+    assert ir_pass.Equal(rel, False)
+    assert len(solution.src_to_dst) == 0
+    assert len(solution.dst_to_src) == 0
+
+
+if __name__ == "__main__":
+    test_unique_solution()
+    test_low_rank()
+    test_infer_range()
+    test_ill_formed()
 
 Review comment:
   how did you generate random cases? random coefs or something smarter?

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