1 //===- LinearTransformTest.cpp - Tests for LinearTransform ----------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8
9 #include "mlir/Analysis/Presburger/LinearTransform.h"
10 #include <gmock/gmock.h>
11 #include <gtest/gtest.h>
12
13 using namespace mlir;
14 using namespace presburger;
15
testColumnEchelonForm(const IntMatrix & m,unsigned expectedRank)16 void testColumnEchelonForm(const IntMatrix &m, unsigned expectedRank) {
17 unsigned lastAllowedNonZeroCol = 0;
18 std::pair<unsigned, LinearTransform> result =
19 LinearTransform::makeTransformToColumnEchelon(m);
20 unsigned rank = result.first;
21 EXPECT_EQ(rank, expectedRank);
22 LinearTransform transform = result.second;
23 // In column echelon form, each row's last non-zero value can be at most one
24 // column to the right of the last non-zero column among the previous rows.
25 for (unsigned row = 0, nRows = m.getNumRows(); row < nRows; ++row) {
26 SmallVector<DynamicAPInt, 8> rowVec =
27 transform.preMultiplyWithRow(m.getRow(row));
28 for (unsigned col = lastAllowedNonZeroCol + 1, nCols = m.getNumColumns();
29 col < nCols; ++col) {
30 EXPECT_EQ(rowVec[col], 0);
31 if (rowVec[col] != 0) {
32 llvm::errs() << "Failed at input matrix:\n";
33 m.dump();
34 }
35 }
36 if (rowVec[lastAllowedNonZeroCol] != 0)
37 lastAllowedNonZeroCol++;
38 }
39 // The final value of lastAllowedNonZeroCol is the index of the first
40 // all-zeros column, so it must be equal to the rank.
41 EXPECT_EQ(lastAllowedNonZeroCol, rank);
42 }
43
TEST(LinearTransformTest,transformToColumnEchelonTest)44 TEST(LinearTransformTest, transformToColumnEchelonTest) {
45 // m1, m2, m3 are rank 1 matrices -- the first and second rows are identical.
46 IntMatrix m1(2, 2);
47 m1(0, 0) = 4;
48 m1(0, 1) = -7;
49 m1(1, 0) = 4;
50 m1(1, 1) = -7;
51 testColumnEchelonForm(m1, 1u);
52
53 IntMatrix m2(2, 2);
54 m2(0, 0) = -4;
55 m2(0, 1) = 7;
56 m2(1, 0) = 4;
57 m2(1, 1) = -7;
58 testColumnEchelonForm(m2, 1u);
59
60 IntMatrix m3(2, 2);
61 m3(0, 0) = -4;
62 m3(0, 1) = -7;
63 m3(1, 0) = -4;
64 m3(1, 1) = -7;
65 testColumnEchelonForm(m3, 1u);
66
67 // m4, m5, m6 are rank 2 matrices -- the first and second rows are different.
68 IntMatrix m4(2, 2);
69 m4(0, 0) = 4;
70 m4(0, 1) = -7;
71 m4(1, 0) = -4;
72 m4(1, 1) = -7;
73 testColumnEchelonForm(m4, 2u);
74
75 IntMatrix m5(2, 2);
76 m5(0, 0) = -4;
77 m5(0, 1) = 7;
78 m5(1, 0) = 4;
79 m5(1, 1) = 7;
80 testColumnEchelonForm(m5, 2u);
81
82 IntMatrix m6(2, 2);
83 m6(0, 0) = -4;
84 m6(0, 1) = -7;
85 m6(1, 0) = 4;
86 m6(1, 1) = -7;
87 testColumnEchelonForm(m5, 2u);
88 }
89