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bolt/deps/llvm-18.1.8/mlir/unittests/Analysis/Presburger/QuasiPolynomialTest.cpp
Sam Vervaeck 174b6f4d4e
Embed LLVM 18.1.8
2025-02-14 19:21:04 +01:00

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//===- MatrixTest.cpp - Tests for QuasiPolynomial -------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#include "mlir/Analysis/Presburger/QuasiPolynomial.h"
#include "./Utils.h"
#include "mlir/Analysis/Presburger/Fraction.h"
#include <gmock/gmock.h>
#include <gtest/gtest.h>
using namespace mlir;
using namespace presburger;
// Test the arithmetic operations on QuasiPolynomials;
// addition, subtraction, multiplication, and division
// by a constant.
// Two QPs of 3 parameters each were generated randomly
// and their sum, difference, and product computed by hand.
TEST(QuasiPolynomialTest, arithmetic) {
QuasiPolynomial qp1(
3, {Fraction(1, 3), Fraction(1, 1), Fraction(1, 2)},
{{{Fraction(1, 1), Fraction(-1, 2), Fraction(4, 5), Fraction(0, 1)},
{Fraction(2, 3), Fraction(3, 4), Fraction(-1, 1), Fraction(5, 7)}},
{{Fraction(1, 2), Fraction(1, 1), Fraction(4, 5), Fraction(1, 1)}},
{{Fraction(-3, 2), Fraction(1, 1), Fraction(5, 6), Fraction(7, 5)},
{Fraction(1, 4), Fraction(2, 1), Fraction(6, 5), Fraction(-9, 8)},
{Fraction(3, 2), Fraction(2, 5), Fraction(-7, 4), Fraction(0, 1)}}});
QuasiPolynomial qp2(
3, {Fraction(1, 1), Fraction(2, 1)},
{{{Fraction(1, 2), Fraction(0, 1), Fraction(-1, 3), Fraction(5, 3)},
{Fraction(2, 1), Fraction(5, 4), Fraction(9, 7), Fraction(-1, 5)}},
{{Fraction(1, 3), Fraction(-2, 3), Fraction(1, 1), Fraction(0, 1)}}});
QuasiPolynomial sum = qp1 + qp2;
EXPECT_EQ_REPR_QUASIPOLYNOMIAL(
sum,
QuasiPolynomial(
3,
{Fraction(1, 3), Fraction(1, 1), Fraction(1, 2), Fraction(1, 1),
Fraction(2, 1)},
{{{Fraction(1, 1), Fraction(-1, 2), Fraction(4, 5), Fraction(0, 1)},
{Fraction(2, 3), Fraction(3, 4), Fraction(-1, 1), Fraction(5, 7)}},
{{Fraction(1, 2), Fraction(1, 1), Fraction(4, 5), Fraction(1, 1)}},
{{Fraction(-3, 2), Fraction(1, 1), Fraction(5, 6), Fraction(7, 5)},
{Fraction(1, 4), Fraction(2, 1), Fraction(6, 5), Fraction(-9, 8)},
{Fraction(3, 2), Fraction(2, 5), Fraction(-7, 4), Fraction(0, 1)}},
{{Fraction(1, 2), Fraction(0, 1), Fraction(-1, 3), Fraction(5, 3)},
{Fraction(2, 1), Fraction(5, 4), Fraction(9, 7), Fraction(-1, 5)}},
{{Fraction(1, 3), Fraction(-2, 3), Fraction(1, 1),
Fraction(0, 1)}}}));
QuasiPolynomial diff = qp1 - qp2;
EXPECT_EQ_REPR_QUASIPOLYNOMIAL(
diff,
QuasiPolynomial(
3,
{Fraction(1, 3), Fraction(1, 1), Fraction(1, 2), Fraction(-1, 1),
Fraction(-2, 1)},
{{{Fraction(1, 1), Fraction(-1, 2), Fraction(4, 5), Fraction(0, 1)},
{Fraction(2, 3), Fraction(3, 4), Fraction(-1, 1), Fraction(5, 7)}},
{{Fraction(1, 2), Fraction(1, 1), Fraction(4, 5), Fraction(1, 1)}},
{{Fraction(-3, 2), Fraction(1, 1), Fraction(5, 6), Fraction(7, 5)},
{Fraction(1, 4), Fraction(2, 1), Fraction(6, 5), Fraction(-9, 8)},
{Fraction(3, 2), Fraction(2, 5), Fraction(-7, 4), Fraction(0, 1)}},
{{Fraction(1, 2), Fraction(0, 1), Fraction(-1, 3), Fraction(5, 3)},
{Fraction(2, 1), Fraction(5, 4), Fraction(9, 7), Fraction(-1, 5)}},
{{Fraction(1, 3), Fraction(-2, 3), Fraction(1, 1),
Fraction(0, 1)}}}));
QuasiPolynomial prod = qp1 * qp2;
EXPECT_EQ_REPR_QUASIPOLYNOMIAL(
prod,
QuasiPolynomial(
3,
{Fraction(1, 3), Fraction(2, 3), Fraction(1, 1), Fraction(2, 1),
Fraction(1, 2), Fraction(1, 1)},
{{{Fraction(1, 1), Fraction(-1, 2), Fraction(4, 5), Fraction(0, 1)},
{Fraction(2, 3), Fraction(3, 4), Fraction(-1, 1), Fraction(5, 7)},
{Fraction(1, 2), Fraction(0, 1), Fraction(-1, 3), Fraction(5, 3)},
{Fraction(2, 1), Fraction(5, 4), Fraction(9, 7), Fraction(-1, 5)}},
{{Fraction(1, 1), Fraction(-1, 2), Fraction(4, 5), Fraction(0, 1)},
{Fraction(2, 3), Fraction(3, 4), Fraction(-1, 1), Fraction(5, 7)},
{Fraction(1, 3), Fraction(-2, 3), Fraction(1, 1), Fraction(0, 1)}},
{{Fraction(1, 2), Fraction(1, 1), Fraction(4, 5), Fraction(1, 1)},
{Fraction(1, 2), Fraction(0, 1), Fraction(-1, 3), Fraction(5, 3)},
{Fraction(2, 1), Fraction(5, 4), Fraction(9, 7), Fraction(-1, 5)}},
{{Fraction(1, 2), Fraction(1, 1), Fraction(4, 5), Fraction(1, 1)},
{Fraction(1, 3), Fraction(-2, 3), Fraction(1, 1), Fraction(0, 1)}},
{{Fraction(-3, 2), Fraction(1, 1), Fraction(5, 6), Fraction(7, 5)},
{Fraction(1, 4), Fraction(2, 1), Fraction(6, 5), Fraction(-9, 8)},
{Fraction(3, 2), Fraction(2, 5), Fraction(-7, 4), Fraction(0, 1)},
{Fraction(1, 2), Fraction(0, 1), Fraction(-1, 3), Fraction(5, 3)},
{Fraction(2, 1), Fraction(5, 4), Fraction(9, 7), Fraction(-1, 5)}},
{{Fraction(-3, 2), Fraction(1, 1), Fraction(5, 6), Fraction(7, 5)},
{Fraction(1, 4), Fraction(2, 1), Fraction(6, 5), Fraction(-9, 8)},
{Fraction(3, 2), Fraction(2, 5), Fraction(-7, 4), Fraction(0, 1)},
{Fraction(1, 3), Fraction(-2, 3), Fraction(1, 1),
Fraction(0, 1)}}}));
QuasiPolynomial quot = qp1 / 2;
EXPECT_EQ_REPR_QUASIPOLYNOMIAL(
quot,
QuasiPolynomial(
3, {Fraction(1, 6), Fraction(1, 2), Fraction(1, 4)},
{{{Fraction(1, 1), Fraction(-1, 2), Fraction(4, 5), Fraction(0, 1)},
{Fraction(2, 3), Fraction(3, 4), Fraction(-1, 1), Fraction(5, 7)}},
{{Fraction(1, 2), Fraction(1, 1), Fraction(4, 5), Fraction(1, 1)}},
{{Fraction(-3, 2), Fraction(1, 1), Fraction(5, 6), Fraction(7, 5)},
{Fraction(1, 4), Fraction(2, 1), Fraction(6, 5), Fraction(-9, 8)},
{Fraction(3, 2), Fraction(2, 5), Fraction(-7, 4),
Fraction(0, 1)}}}));
}
// Test the simplify() operation on QPs, which removes terms that
// are identically zero. A random QP was generated and terms were
// changed to account for each condition in simplify() – 
// the term coefficient being zero, or all the coefficients in some
// affine term in the product being zero.
TEST(QuasiPolynomialTest, simplify) {
QuasiPolynomial qp(2,
{Fraction(2, 3), Fraction(0, 1), Fraction(1, 1),
Fraction(1, 2), Fraction(0, 1)},
{{{Fraction(1, 1), Fraction(3, 4), Fraction(5, 3)},
{Fraction(2, 1), Fraction(0, 1), Fraction(0, 1)}},
{{Fraction(1, 3), Fraction(8, 5), Fraction(2, 5)}},
{{Fraction(2, 7), Fraction(9, 5), Fraction(0, 1)},
{Fraction(0, 1), Fraction(0, 1), Fraction(0, 1)}},
{{Fraction(1, 1), Fraction(4, 5), Fraction(6, 5)}},
{{Fraction(1, 3), Fraction(4, 3), Fraction(7, 8)}}});
EXPECT_EQ_REPR_QUASIPOLYNOMIAL(
qp.simplify(),
QuasiPolynomial(2, {Fraction(2, 3), Fraction(1, 2)},
{{{Fraction(1, 1), Fraction(3, 4), Fraction(5, 3)},
{Fraction(2, 1), Fraction(0, 1), Fraction(0, 1)}},
{{Fraction(1, 1), Fraction(4, 5), Fraction(6, 5)}}}));
}
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