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feat(linear-static-3d-euler-beam): step 9 - dense-math-adapters

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KOKO\Mimi
2026-08-09 11:36:01 +09:00
parent a3a5edcdb0
commit 21f59235e1
9 changed files with 610 additions and 0 deletions
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tests/unit/math/matrix_test.cpp
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#include "fesa/math/matrix.hpp"
#include <gtest/gtest.h>
#include <stdexcept>
#include <utility>
namespace fesa {
namespace {
TEST(DenseMath, RowMajorMatrixMatchesKnownGemvGemm) {
Matrix zeroRows{0, 3};
Vector threeValues{3, 2.0};
const Vector zeroRowProduct = zeroRows.multiply(threeValues);
EXPECT_EQ(zeroRowProduct.size(), 0U);
Matrix zeroColumns{2, 0};
const Vector zeroColumnProduct = zeroColumns.multiply(Vector{0});
ASSERT_EQ(zeroColumnProduct.size(), 2U);
EXPECT_DOUBLE_EQ(zeroColumnProduct[0], 0.0);
EXPECT_DOUBLE_EQ(zeroColumnProduct[1], 0.0);
Matrix zeroInnerRight{0, 3};
const Matrix zeroInnerProduct = zeroColumns.multiply(zeroInnerRight);
EXPECT_EQ(zeroInnerProduct.rows(), 2U);
EXPECT_EQ(zeroInnerProduct.columns(), 3U);
for (std::size_t row = 0; row < zeroInnerProduct.rows(); ++row) {
for (std::size_t column = 0; column < zeroInnerProduct.columns(); ++column) {
EXPECT_DOUBLE_EQ(zeroInnerProduct(row, column), 0.0);
}
}
Matrix left{2, 3};
left(0, 0) = 1.0;
left(0, 1) = 2.0;
left(0, 2) = 3.0;
left(1, 0) = 4.0;
left(1, 1) = 5.0;
left(1, 2) = 6.0;
EXPECT_EQ(&left(0, 0) + 1, &left(0, 1));
EXPECT_EQ(&left(0, 0) + 2, &left(0, 2));
EXPECT_EQ(&left(0, 0) + 3, &left(1, 0));
const Matrix& constLeft = left;
EXPECT_DOUBLE_EQ(constLeft(1, 2), 6.0);
Matrix copied{left};
copied(0, 0) = 42.0;
EXPECT_DOUBLE_EQ(left(0, 0), 1.0);
Matrix copyAssigned{0, 0};
copyAssigned = left;
copyAssigned(1, 2) = -7.0;
EXPECT_DOUBLE_EQ(left(1, 2), 6.0);
Matrix moved{std::move(copied)};
EXPECT_EQ(copied.rows(), 0U);
EXPECT_EQ(copied.columns(), 0U);
EXPECT_EQ(moved.rows(), 2U);
EXPECT_EQ(moved.columns(), 3U);
EXPECT_DOUBLE_EQ(moved(0, 0), 42.0);
EXPECT_NO_THROW(static_cast<void>(copied.multiply(Vector{0})));
Matrix moveAssigned{1, 1, -1.0};
moveAssigned = std::move(copyAssigned);
EXPECT_EQ(copyAssigned.rows(), 0U);
EXPECT_EQ(copyAssigned.columns(), 0U);
EXPECT_EQ(moveAssigned.rows(), 2U);
EXPECT_EQ(moveAssigned.columns(), 3U);
EXPECT_DOUBLE_EQ(moveAssigned(1, 2), -7.0);
Vector vector{3};
vector[0] = 7.0;
vector[1] = 8.0;
vector[2] = 9.0;
const Vector matrixVectorProduct = left.multiply(vector);
ASSERT_EQ(matrixVectorProduct.size(), 2U);
EXPECT_DOUBLE_EQ(matrixVectorProduct[0], 50.0);
EXPECT_DOUBLE_EQ(matrixVectorProduct[1], 122.0);
Matrix right{3, 2};
right(0, 0) = 7.0;
right(0, 1) = 8.0;
right(1, 0) = 9.0;
right(1, 1) = 10.0;
right(2, 0) = 11.0;
right(2, 1) = 12.0;
const Matrix matrixProduct = left.multiply(right);
ASSERT_EQ(matrixProduct.rows(), 2U);
ASSERT_EQ(matrixProduct.columns(), 2U);
EXPECT_DOUBLE_EQ(matrixProduct(0, 0), 58.0);
EXPECT_DOUBLE_EQ(matrixProduct(0, 1), 64.0);
EXPECT_DOUBLE_EQ(matrixProduct(1, 0), 139.0);
EXPECT_DOUBLE_EQ(matrixProduct(1, 1), 154.0);
EXPECT_THROW(static_cast<void>(left(2, 0)), std::out_of_range);
EXPECT_THROW(static_cast<void>(left(0, 3)), std::out_of_range);
EXPECT_THROW(static_cast<void>(constLeft(2, 0)), std::out_of_range);
EXPECT_THROW(static_cast<void>(left.multiply(Vector{2})), std::invalid_argument);
EXPECT_THROW(static_cast<void>(left.multiply(Matrix{4, 1})), std::invalid_argument);
}
} // namespace
} // namespace fesa
tests/unit/math/vector_test.cpp
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#include "fesa/math/vector.hpp"
#include <gtest/gtest.h>
#include <cmath>
#include <stdexcept>
#include <utility>
namespace fesa {
namespace {
TEST(DenseMath, VectorOwnsAndChecksContiguousStorage) {
Vector empty{0};
EXPECT_EQ(empty.size(), 0U);
EXPECT_DOUBLE_EQ(empty.norm(), 0.0);
EXPECT_NO_THROW(empty.scale(3.0));
EXPECT_NO_THROW(empty.axpy(-2.0, Vector{0}));
EXPECT_THROW(static_cast<void>(empty[0]), std::out_of_range);
Vector original{3};
original[0] = 1.0;
original[1] = -2.0;
original[2] = 3.0;
EXPECT_EQ(original.data() + 1, &original[1]);
EXPECT_EQ(original.data() + 2, &original[2]);
const Vector& constOriginal = original;
EXPECT_EQ(constOriginal.data() + 2, &constOriginal[2]);
Vector copied{original};
EXPECT_NE(copied.data(), original.data());
copied[0] = 99.0;
EXPECT_DOUBLE_EQ(original[0], 1.0);
Vector copyAssigned{0};
copyAssigned = original;
EXPECT_NE(copyAssigned.data(), original.data());
copyAssigned[1] = 17.0;
EXPECT_DOUBLE_EQ(original[1], -2.0);
Vector moved{std::move(copied)};
EXPECT_EQ(copied.size(), 0U);
EXPECT_EQ(moved.size(), 3U);
EXPECT_DOUBLE_EQ(moved[0], 99.0);
EXPECT_NO_THROW(copied.scale(4.0));
Vector moveAssigned{1, -1.0};
moveAssigned = std::move(copyAssigned);
EXPECT_EQ(copyAssigned.size(), 0U);
EXPECT_EQ(moveAssigned.size(), 3U);
EXPECT_DOUBLE_EQ(moveAssigned[1], 17.0);
Vector rhs{3};
rhs[0] = 4.0;
rhs[1] = 5.0;
rhs[2] = -6.0;
EXPECT_DOUBLE_EQ(original.dot(rhs), -24.0);
EXPECT_NEAR(original.norm(), std::sqrt(14.0), 1.0e-15);
Vector scaled{original};
scaled.scale(-0.5);
EXPECT_DOUBLE_EQ(scaled[0], -0.5);
EXPECT_DOUBLE_EQ(scaled[1], 1.0);
EXPECT_DOUBLE_EQ(scaled[2], -1.5);
Vector accumulated{3};
accumulated[0] = 1.0;
accumulated[1] = 2.0;
accumulated[2] = 3.0;
Vector increment{3};
increment[0] = 4.0;
increment[1] = -1.0;
increment[2] = 0.5;
accumulated.axpy(2.0, increment);
EXPECT_DOUBLE_EQ(accumulated[0], 9.0);
EXPECT_DOUBLE_EQ(accumulated[1], 0.0);
EXPECT_DOUBLE_EQ(accumulated[2], 4.0);
EXPECT_THROW(static_cast<void>(original[3]), std::out_of_range);
EXPECT_THROW(static_cast<void>(constOriginal[3]), std::out_of_range);
EXPECT_THROW(static_cast<void>(original.dot(Vector{2})), std::invalid_argument);
EXPECT_THROW(original.axpy(1.0, Vector{2}), std::invalid_argument);
}
} // namespace
} // namespace fesa