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eigen/test/basicstuff.cpp

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#include "main.h"
#include "random_without_cast_overflow.h"
template <typename MatrixType>
std::enable_if_t<(MatrixType::RowsAtCompileTime == 1 || MatrixType::ColsAtCompileTime == 1), void> check_index(
const MatrixType& m) {
VERIFY_RAISES_ASSERT(m[0]);
VERIFY_RAISES_ASSERT((m + m)[0]);
}
template <typename MatrixType>
std::enable_if_t<!(MatrixType::RowsAtCompileTime == 1 || MatrixType::ColsAtCompileTime == 1), void> check_index(
const MatrixType& /*unused*/) {}
template <typename MatrixType>
void basicStuff(const MatrixType& m) {
typedef typename MatrixType::Scalar Scalar;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime> SquareMatrixType;
Index rows = m.rows();
Index cols = m.cols();
// this test relies a lot on Random.h, and there's not much more that we can do
// to test it, hence I consider that we will have tested Random.h
MatrixType m1 = MatrixType::Random(rows, cols), m2 = MatrixType::Random(rows, cols), m3(rows, cols),
mzero = MatrixType::Zero(rows, cols),
square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>::Random(rows, rows);
VectorType v1 = VectorType::Random(rows), vzero = VectorType::Zero(rows);
SquareMatrixType sm1 = SquareMatrixType::Random(rows, rows), sm2(rows, rows);
Scalar x = 0;
while (x == Scalar(0)) x = internal::random<Scalar>();
Index r = internal::random<Index>(0, rows - 1), c = internal::random<Index>(0, cols - 1);
m1.coeffRef(r, c) = x;
VERIFY_IS_APPROX(x, m1.coeff(r, c));
m1(r, c) = x;
VERIFY_IS_APPROX(x, m1(r, c));
v1.coeffRef(r) = x;
VERIFY_IS_APPROX(x, v1.coeff(r));
v1(r) = x;
VERIFY_IS_APPROX(x, v1(r));
v1[r] = x;
VERIFY_IS_APPROX(x, v1[r]);
// test fetching with various index types.
Index r1 = internal::random<Index>(0, numext::mini(Index(127), rows - 1));
x = v1(static_cast<char>(r1));
x = v1(static_cast<signed char>(r1));
x = v1(static_cast<unsigned char>(r1));
x = v1(static_cast<signed short>(r1));
x = v1(static_cast<unsigned short>(r1));
x = v1(static_cast<signed int>(r1));
x = v1(static_cast<unsigned int>(r1));
x = v1(static_cast<signed long>(r1));
x = v1(static_cast<unsigned long>(r1));
if (sizeof(Index) >= sizeof(long long int)) x = v1(static_cast<long long int>(r1));
if (sizeof(Index) >= sizeof(unsigned long long int)) x = v1(static_cast<unsigned long long int>(r1));
VERIFY_IS_APPROX(v1, v1);
VERIFY_IS_NOT_APPROX(v1, 2 * v1);
VERIFY_IS_MUCH_SMALLER_THAN(vzero, v1);
VERIFY_IS_MUCH_SMALLER_THAN(vzero, v1.squaredNorm());
VERIFY_IS_NOT_MUCH_SMALLER_THAN(v1, v1);
VERIFY_IS_APPROX(vzero, v1 - v1);
VERIFY_IS_APPROX(m1, m1);
VERIFY_IS_NOT_APPROX(m1, 2 * m1);
VERIFY_IS_MUCH_SMALLER_THAN(mzero, m1);
VERIFY_IS_NOT_MUCH_SMALLER_THAN(m1, m1);
VERIFY_IS_APPROX(mzero, m1 - m1);
// always test operator() on each read-only expression class,
// in order to check const-qualifiers.
// indeed, if an expression class (here Zero) is meant to be read-only,
// hence has no _write() method, the corresponding MatrixBase method (here zero())
// should return a const-qualified object so that it is the const-qualified
// operator() that gets called, which in turn calls _read().
VERIFY_IS_MUCH_SMALLER_THAN(MatrixType::Zero(rows, cols)(r, c), static_cast<Scalar>(1));
// now test copying a row-vector into a (column-)vector and conversely.
square.col(r) = square.row(r).eval();
Matrix<Scalar, 1, MatrixType::RowsAtCompileTime> rv(rows);
Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> cv(rows);
rv = square.row(r);
cv = square.col(r);
VERIFY_IS_APPROX(rv, cv.transpose());
if (cols != 1 && rows != 1 && MatrixType::SizeAtCompileTime != Dynamic) {
VERIFY_RAISES_ASSERT(m1 = (m2.block(0, 0, rows - 1, cols - 1)));
}
if (cols != 1 && rows != 1) {
check_index(m1);
}
VERIFY_IS_APPROX(m3 = m1, m1);
MatrixType m4;
VERIFY_IS_APPROX(m4 = m1, m1);
m3.real() = m1.real();
VERIFY_IS_APPROX(static_cast<const MatrixType&>(m3).real(), static_cast<const MatrixType&>(m1).real());
VERIFY_IS_APPROX(static_cast<const MatrixType&>(m3).real(), m1.real());
// check == / != operators
VERIFY(m1 == m1);
VERIFY(m1 != m2);
VERIFY(!(m1 == m2));
VERIFY(!(m1 != m1));
m1 = m2;
VERIFY(m1 == m2);
VERIFY(!(m1 != m2));
// check automatic transposition
sm2.setZero();
for (Index i = 0; i < rows; ++i) sm2.col(i) = sm1.row(i);
VERIFY_IS_APPROX(sm2, sm1.transpose());
sm2.setZero();
for (Index i = 0; i < rows; ++i) sm2.col(i).noalias() = sm1.row(i);
VERIFY_IS_APPROX(sm2, sm1.transpose());
sm2.setZero();
for (Index i = 0; i < rows; ++i) sm2.col(i).noalias() += sm1.row(i);
VERIFY_IS_APPROX(sm2, sm1.transpose());
sm2.setZero();
for (Index i = 0; i < rows; ++i) sm2.col(i).noalias() -= sm1.row(i);
VERIFY_IS_APPROX(sm2, -sm1.transpose());
// check ternary usage
{
bool b = internal::random<int>(0, 10) > 5;
m3 = b ? m1 : m2;
if (b)
VERIFY_IS_APPROX(m3, m1);
else
VERIFY_IS_APPROX(m3, m2);
m3 = b ? -m1 : m2;
if (b)
VERIFY_IS_APPROX(m3, -m1);
else
VERIFY_IS_APPROX(m3, m2);
m3 = b ? m1 : -m2;
if (b)
VERIFY_IS_APPROX(m3, m1);
else
VERIFY_IS_APPROX(m3, -m2);
}
}
template <typename MatrixType>
void basicStuffComplex(const MatrixType& m) {
typedef typename MatrixType::Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
typedef Matrix<RealScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime> RealMatrixType;
Index rows = m.rows();
Index cols = m.cols();
Scalar s1 = internal::random<Scalar>(), s2 = internal::random<Scalar>();
VERIFY(numext::real(s1) == numext::real_ref(s1));
VERIFY(numext::imag(s1) == numext::imag_ref(s1));
numext::real_ref(s1) = numext::real(s2);
numext::imag_ref(s1) = numext::imag(s2);
VERIFY(internal::isApprox(s1, s2, NumTraits<RealScalar>::epsilon()));
// extended precision in Intel FPUs means that s1 == s2 in the line above is not guaranteed.
RealMatrixType rm1 = RealMatrixType::Random(rows, cols), rm2 = RealMatrixType::Random(rows, cols);
MatrixType cm(rows, cols);
cm.real() = rm1;
cm.imag() = rm2;
VERIFY_IS_APPROX(static_cast<const MatrixType&>(cm).real(), rm1);
VERIFY_IS_APPROX(static_cast<const MatrixType&>(cm).imag(), rm2);
rm1.setZero();
rm2.setZero();
rm1 = cm.real();
rm2 = cm.imag();
VERIFY_IS_APPROX(static_cast<const MatrixType&>(cm).real(), rm1);
VERIFY_IS_APPROX(static_cast<const MatrixType&>(cm).imag(), rm2);
cm.real().setZero();
VERIFY(static_cast<const MatrixType&>(cm).real().isZero());
VERIFY(!static_cast<const MatrixType&>(cm).imag().isZero());
}
template <typename SrcScalar, typename TgtScalar>
struct casting_test {
static void run() {
Matrix<SrcScalar, 4, 4> m;
for (int i = 0; i < m.rows(); ++i) {
for (int j = 0; j < m.cols(); ++j) {
m(i, j) = internal::random_without_cast_overflow<SrcScalar, TgtScalar>::value();
}
}
Matrix<TgtScalar, 4, 4> n = m.template cast<TgtScalar>();
for (int i = 0; i < m.rows(); ++i) {
for (int j = 0; j < m.cols(); ++j) {
VERIFY_IS_APPROX(n(i, j), (internal::cast<SrcScalar, TgtScalar>(m(i, j))));
}
}
}
};
template <typename SrcScalar, typename EnableIf = void>
struct casting_test_runner {
static void run() {
casting_test<SrcScalar, bool>::run();
casting_test<SrcScalar, int8_t>::run();
casting_test<SrcScalar, uint8_t>::run();
casting_test<SrcScalar, int16_t>::run();
casting_test<SrcScalar, uint16_t>::run();
casting_test<SrcScalar, int32_t>::run();
casting_test<SrcScalar, uint32_t>::run();
casting_test<SrcScalar, int64_t>::run();
casting_test<SrcScalar, uint64_t>::run();
casting_test<SrcScalar, half>::run();
casting_test<SrcScalar, bfloat16>::run();
casting_test<SrcScalar, float>::run();
casting_test<SrcScalar, double>::run();
casting_test<SrcScalar, std::complex<float>>::run();
casting_test<SrcScalar, std::complex<double>>::run();
}
};
template <typename SrcScalar>
struct casting_test_runner<SrcScalar, std::enable_if_t<(NumTraits<SrcScalar>::IsComplex)>> {
static void run() {
// Only a few casts from std::complex<T> are defined.
casting_test<SrcScalar, half>::run();
casting_test<SrcScalar, bfloat16>::run();
casting_test<SrcScalar, std::complex<float>>::run();
casting_test<SrcScalar, std::complex<double>>::run();
}
};
void casting_all() {
casting_test_runner<bool>::run();
casting_test_runner<int8_t>::run();
casting_test_runner<uint8_t>::run();
casting_test_runner<int16_t>::run();
casting_test_runner<uint16_t>::run();
casting_test_runner<int32_t>::run();
casting_test_runner<uint32_t>::run();
casting_test_runner<int64_t>::run();
casting_test_runner<uint64_t>::run();
casting_test_runner<half>::run();
casting_test_runner<bfloat16>::run();
casting_test_runner<float>::run();
casting_test_runner<double>::run();
casting_test_runner<std::complex<float>>::run();
casting_test_runner<std::complex<double>>::run();
}
template <typename Scalar>
void fixedSizeMatrixConstruction() {
Scalar raw[4];
for (int k = 0; k < 4; ++k) raw[k] = internal::random<Scalar>();
{
Matrix<Scalar, 4, 1> m(raw);
Array<Scalar, 4, 1> a(raw);
for (int k = 0; k < 4; ++k) VERIFY(m(k) == raw[k]);
for (int k = 0; k < 4; ++k) VERIFY(a(k) == raw[k]);
VERIFY_IS_EQUAL(m, (Matrix<Scalar, 4, 1>(raw[0], raw[1], raw[2], raw[3])));
VERIFY((a == (Array<Scalar, 4, 1>(raw[0], raw[1], raw[2], raw[3]))).all());
}
{
Matrix<Scalar, 3, 1> m(raw);
Array<Scalar, 3, 1> a(raw);
for (int k = 0; k < 3; ++k) VERIFY(m(k) == raw[k]);
for (int k = 0; k < 3; ++k) VERIFY(a(k) == raw[k]);
VERIFY_IS_EQUAL(m, (Matrix<Scalar, 3, 1>(raw[0], raw[1], raw[2])));
VERIFY((a == Array<Scalar, 3, 1>(raw[0], raw[1], raw[2])).all());
}
{
Matrix<Scalar, 2, 1> m(raw), m2((DenseIndex(raw[0])), (DenseIndex(raw[1])));
Array<Scalar, 2, 1> a(raw), a2((DenseIndex(raw[0])), (DenseIndex(raw[1])));
for (int k = 0; k < 2; ++k) VERIFY(m(k) == raw[k]);
for (int k = 0; k < 2; ++k) VERIFY(a(k) == raw[k]);
VERIFY_IS_EQUAL(m, (Matrix<Scalar, 2, 1>(raw[0], raw[1])));
VERIFY((a == Array<Scalar, 2, 1>(raw[0], raw[1])).all());
for (int k = 0; k < 2; ++k) VERIFY(m2(k) == DenseIndex(raw[k]));
for (int k = 0; k < 2; ++k) VERIFY(a2(k) == DenseIndex(raw[k]));
}
{
Matrix<Scalar, 1, 2> m(raw), m2((DenseIndex(raw[0])), (DenseIndex(raw[1]))), m3((int(raw[0])), (int(raw[1]))),
m4((float(raw[0])), (float(raw[1])));
Array<Scalar, 1, 2> a(raw), a2((DenseIndex(raw[0])), (DenseIndex(raw[1])));
for (int k = 0; k < 2; ++k) VERIFY(m(k) == raw[k]);
for (int k = 0; k < 2; ++k) VERIFY(a(k) == raw[k]);
VERIFY_IS_EQUAL(m, (Matrix<Scalar, 1, 2>(raw[0], raw[1])));
VERIFY((a == Array<Scalar, 1, 2>(raw[0], raw[1])).all());
for (int k = 0; k < 2; ++k) VERIFY(m2(k) == DenseIndex(raw[k]));
for (int k = 0; k < 2; ++k) VERIFY(a2(k) == DenseIndex(raw[k]));
for (int k = 0; k < 2; ++k) VERIFY(m3(k) == int(raw[k]));
for (int k = 0; k < 2; ++k) VERIFY((m4(k)) == Scalar(float(raw[k])));
}
{
Matrix<Scalar, 1, 1> m(raw), m1(raw[0]), m2((DenseIndex(raw[0]))), m3((int(raw[0])));
Array<Scalar, 1, 1> a(raw), a1(raw[0]), a2((DenseIndex(raw[0])));
VERIFY(m(0) == raw[0]);
VERIFY(a(0) == raw[0]);
VERIFY(m1(0) == raw[0]);
VERIFY(a1(0) == raw[0]);
VERIFY(m2(0) == DenseIndex(raw[0]));
VERIFY(a2(0) == DenseIndex(raw[0]));
VERIFY(m3(0) == int(raw[0]));
VERIFY_IS_EQUAL(m, (Matrix<Scalar, 1, 1>(raw[0])));
VERIFY((a == Array<Scalar, 1, 1>(raw[0])).all());
}
}
EIGEN_DECLARE_TEST(basicstuff) {
for (int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_1(basicStuff(Matrix<float, 1, 1>()));
CALL_SUBTEST_2(basicStuff(Matrix4d()));
CALL_SUBTEST_3(basicStuff(
MatrixXcf(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_4(basicStuff(
MatrixXi(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_5(basicStuff(
MatrixXcd(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_6(basicStuff(Matrix<float, 100, 100>()));
CALL_SUBTEST_7(basicStuff(Matrix<long double, Dynamic, Dynamic>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE),
internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_8(casting_all());
CALL_SUBTEST_3(basicStuffComplex(
MatrixXcf(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_5(basicStuffComplex(
MatrixXcd(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
}
CALL_SUBTEST_1(fixedSizeMatrixConstruction<unsigned char>());
CALL_SUBTEST_1(fixedSizeMatrixConstruction<float>());
CALL_SUBTEST_1(fixedSizeMatrixConstruction<double>());
CALL_SUBTEST_1(fixedSizeMatrixConstruction<int>());
CALL_SUBTEST_1(fixedSizeMatrixConstruction<long int>());
CALL_SUBTEST_1(fixedSizeMatrixConstruction<std::ptrdiff_t>());
}
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