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This commit is contained in:
william 2024-01-29 12:00:30 -05:00
parent 35c2186f54
commit 9a93c8e529
3 changed files with 271 additions and 197 deletions
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8
labo01/Matrix.h
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@ -76,7 +76,7 @@ namespace gti320 {
* Accesseur à une entrée de la matrice (lecture seule)
*/
_Scalar operator()(int i, int j) const {
int index = i * this->cols() + j;
int index = i * this->rows() + j;
return this->m_storage.data()[index];
}
@ -84,7 +84,7 @@ namespace gti320 {
* Accesseur à une entrée de la matrice (lecture ou écriture)
*/
_Scalar &operator()(int i, int j) {
int index = i * this->cols() + j;
int index = i * this->rows() + j;
return this->m_storage.data()[index];
}
@ -182,7 +182,7 @@ namespace gti320 {
* Accesseur à une entrée de la matrice (lecture seule)
*/
_Scalar operator()(int i, int j) const {
int index = j * this->rows() + i;
int index = j * this->cols() + i;
return this->m_storage.data()[index];
}
@ -190,7 +190,7 @@ namespace gti320 {
* Accesseur à une entrée de la matrice (lecture ou écriture)
*/
_Scalar &operator()(int i, int j) {
int index = j * this->rows() + i;
int index = j * this->cols() + i;
return this->m_storage.data()[index];
}

158
labo01/Operators.h
View File

@ -23,10 +23,21 @@ namespace gti320 {
* Multiplication : Matrice * Matrice (générique)
*/
template<typename _Scalar, int RowsA, int ColsA, int StorageA, int RowsB, int ColsB, int StorageB>
Matrix<_Scalar, RowsA, ColsB> operator*(const Matrix<_Scalar, RowsA, ColsA, StorageA>& A, const Matrix<_Scalar, RowsB, ColsB, StorageB>& B)
{
// TODO implémenter
return Matrix<_Scalar, RowsA, ColsB>();
Matrix<_Scalar, RowsA, ColsB>
operator*(const Matrix<_Scalar, RowsA, ColsA, StorageA> &A, const Matrix<_Scalar, RowsB, ColsB, StorageB> &B) {
assert(A.cols() == B.rows());
auto result = Matrix<_Scalar, Dynamic, Dynamic>(A.rows(), B.cols());
for (int col = 0; col < B.cols(); col++) {
for (int row = 0; row < A.rows(); row++) {
for (int k = 0; k < A.cols(); k++) {
result(col, row) += A(k, row) * B(col, k);
}
}
}
return result;
}
/**
@ -37,10 +48,21 @@ namespace gti320 {
* stockage par colonnes et celle de droite un stockage par lignes.
*/
template<typename _Scalar>
Matrix<_Scalar, Dynamic, Dynamic> operator*(const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage>& A, const Matrix<_Scalar, Dynamic, Dynamic, RowStorage>& B)
{
// TODO : implémenter
return Matrix<_Scalar, Dynamic, Dynamic>();
Matrix<_Scalar, Dynamic, Dynamic> operator*(const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage> &A,
const Matrix<_Scalar, Dynamic, Dynamic, RowStorage> &B) {
assert(A.cols() == B.rows());
auto result = Matrix<_Scalar, Dynamic, Dynamic>(A.rows(), B.cols());
for (int col = 0; col < A.cols(); col++) {
for (int row = 0; row < B.rows(); row++) {
for (int k = 0; k < B.cols(); k++) {
result(k, row) += A(col, row) * B(k, col);
}
}
}
return result;
}
/**
@ -51,10 +73,21 @@ namespace gti320 {
* stockage par lignes et celle de droite un stockage par colonnes.
*/
template<typename _Scalar>
Matrix<_Scalar, Dynamic, Dynamic> operator*(const Matrix<_Scalar, Dynamic, Dynamic, RowStorage>& A, const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage>& B)
{
// TODO : implémenter
return Matrix<_Scalar, Dynamic, Dynamic>();
Matrix<_Scalar, Dynamic, Dynamic> operator*(const Matrix<_Scalar, Dynamic, Dynamic, RowStorage> &A,
const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage> &B) {
assert(A.cols() == B.rows());
auto result = Matrix<_Scalar, Dynamic, Dynamic>(A.rows(), B.cols());
for (int col = 0; col < B.cols(); col++) {
for (int row = 0; row < A.rows(); row++) {
for (int k = 0; k < A.cols(); k++) {
result(col, row) += A(k, row) * B(col, k);
}
}
}
return result;
}
@ -62,10 +95,20 @@ namespace gti320 {
* Addition : Matrice + Matrice (générique)
*/
template<typename _Scalar, int Rows, int Cols, int StorageA, int StorageB>
Matrix<_Scalar, Rows, Cols> operator+(const Matrix<_Scalar, Rows, Cols, StorageA>& A, const Matrix<_Scalar, Rows, Cols, StorageB>& B)
{
// TODO : implémenter
return Matrix<_Scalar, Rows, Cols>();
Matrix<_Scalar, Rows, Cols>
operator+(const Matrix<_Scalar, Rows, Cols, StorageA> &A, const Matrix<_Scalar, Rows, Cols, StorageB> &B) {
assert(A.rows() == B.rows());
assert(A.cols() == B.cols());
auto result = Matrix<_Scalar, Rows, Cols, StorageA>(A.rows(), A.cols());
for (int row = 0; row < A.rows(); row++) {
for (int col = 0; col < A.cols(); col++) {
result(row, col) = A(row, col) + B(row, col);
}
}
return result;
}
/**
@ -75,10 +118,20 @@ namespace gti320 {
* sont stockées par colonnes.
*/
template<typename _Scalar>
Matrix<_Scalar, Dynamic, Dynamic> operator+(const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage>& A, const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage>& B)
{
// TODO : implémenter
return Matrix<_Scalar, Dynamic, Dynamic>();
Matrix<_Scalar, Dynamic, Dynamic> operator+(const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage> &A,
const Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage> &B) {
assert(A.rows() == B.rows());
assert(A.cols() == B.cols());
auto result = Matrix<_Scalar, Dynamic, Dynamic, ColumnStorage>(A.rows(), A.cols());
for (int col = 0; col < A.cols(); col++) {
for (int row = 0; row < A.rows(); row++) {
result(row, col) = A(row, col) + B(row, col);
}
}
return result;
}
/**
@ -88,10 +141,20 @@ namespace gti320 {
* sont stockées par lignes.
*/
template<typename _Scalar>
Matrix<_Scalar, Dynamic, Dynamic, RowStorage> operator+(const Matrix<_Scalar, Dynamic, Dynamic, RowStorage>& A, const Matrix<_Scalar, Dynamic, Dynamic, RowStorage>& B)
{
// TODO : implémenter
return Matrix<_Scalar, Dynamic, Dynamic, RowStorage>();
Matrix<_Scalar, Dynamic, Dynamic, RowStorage> operator+(const Matrix<_Scalar, Dynamic, Dynamic, RowStorage> &A,
const Matrix<_Scalar, Dynamic, Dynamic, RowStorage> &B) {
assert(A.rows() == B.rows());
assert(A.cols() == B.cols());
auto result = Matrix<_Scalar, Dynamic, Dynamic, RowStorage>(A.rows(), A.cols());
for (int row = 0; row < A.rows(); row++) {
for (int col = 0; col < A.cols(); col++) {
result(row, col) = A(row, col) + B(row, col);
}
}
return result;
}
/**
@ -101,10 +164,17 @@ namespace gti320 {
* cas d'une matrice stockée par colonnes.
*/
template<typename _Scalar, int _Rows, int _Cols>
Matrix<_Scalar, _Rows, _Cols, ColumnStorage> operator*(const _Scalar& a, const Matrix<_Scalar, _Rows, _Cols, ColumnStorage>& A)
{
// TODO : implémenter
return Matrix<_Scalar, Dynamic, Dynamic>();
Matrix<_Scalar, _Rows, _Cols, ColumnStorage>
operator*(const _Scalar &a, const Matrix<_Scalar, _Rows, _Cols, ColumnStorage> &A) {
auto result = Matrix<_Scalar, _Rows, _Cols, ColumnStorage>(A.rows(), A.cols());
for (int col = 0; col < A.cols(); col++) {
for (int row = 0; row < A.rows(); row++) {
result(col, row) = a * A(col, row);
}
}
return result;
}
/**
@ -114,10 +184,17 @@ namespace gti320 {
* cas d'une matrice stockée par lignes.
*/
template<typename _Scalar, int _Rows, int _Cols>
Matrix<_Scalar, _Rows, _Cols, RowStorage> operator*(const _Scalar& a, const Matrix<_Scalar, _Rows, _Cols, RowStorage>& A)
{
// TODO : implémenter
return Matrix<_Scalar, Dynamic, Dynamic, RowStorage>();
Matrix<_Scalar, _Rows, _Cols, RowStorage>
operator*(const _Scalar &a, const Matrix<_Scalar, _Rows, _Cols, RowStorage> &A) {
auto result = Matrix<_Scalar, _Rows, _Cols, RowStorage>(A.rows(), A.cols());
for (int row = 0; row < A.rows(); row++) {
for (int col = 0; col < A.cols(); col++) {
result(col, row) = a * A(col, row);
}
}
return result;
}
/**
@ -127,8 +204,8 @@ namespace gti320 {
* cas où la matrice est représentée par lignes.
*/
template<typename _Scalar, int _Rows, int _Cols>
Vector<_Scalar, _Rows> operator*(const Matrix<_Scalar, _Rows, _Cols, RowStorage>& A, const Vector<_Scalar, _Cols>& v)
{
Vector<_Scalar, _Rows>
operator*(const Matrix<_Scalar, _Rows, _Cols, RowStorage> &A, const Vector<_Scalar, _Cols> &v) {
// TODO : implémenter
return Vector<_Scalar, _Rows>();
}
@ -140,8 +217,8 @@ namespace gti320 {
* cas où la matrice est représentée par colonnes.
*/
template<typename _Scalar, int _Rows, int _Cols>
Vector<_Scalar, _Rows> operator*(const Matrix<_Scalar, _Rows, _Cols, ColumnStorage>& A, const Vector<_Scalar, _Cols>& v)
{
Vector<_Scalar, _Rows>
operator*(const Matrix<_Scalar, _Rows, _Cols, ColumnStorage> &A, const Vector<_Scalar, _Cols> &v) {
// TODO : implémenter
return Vector<_Scalar, _Rows>();
}
@ -150,8 +227,7 @@ namespace gti320 {
* Multiplication : Scalaire * Vecteur
*/
template<typename _Scalar, int _Rows>
Vector<_Scalar, _Rows> operator*(const _Scalar& a, const Vector<_Scalar, _Rows>& v)
{
Vector<_Scalar, _Rows> operator*(const _Scalar &a, const Vector<_Scalar, _Rows> &v) {
// TODO : implémenter
return Vector<_Scalar, _Rows>();
}
@ -161,8 +237,7 @@ namespace gti320 {
* Addition : Vecteur + Vecteur
*/
template<typename _Scalar, int _RowsA, int _RowsB>
Vector<_Scalar, _RowsA> operator+(const Vector<_Scalar, _RowsA>& a, const Vector<_Scalar, _RowsB>& b)
{
Vector<_Scalar, _RowsA> operator+(const Vector<_Scalar, _RowsA> &a, const Vector<_Scalar, _RowsB> &b) {
// TODO : implémenter
return Vector<_Scalar, _RowsA>();
}
@ -171,8 +246,7 @@ namespace gti320 {
* Soustraction : Vecteur - Vecteur
*/
template<typename _Scalar, int _RowsA, int _RowsB>
Vector<_Scalar, _RowsA> operator-(const Vector<_Scalar, _RowsA>& a, const Vector<_Scalar, _RowsB>& b)
{
Vector<_Scalar, _RowsA> operator-(const Vector<_Scalar, _RowsA> &a, const Vector<_Scalar, _RowsB> &b) {
// TODO : implémenter
return Vector<_Scalar, _RowsA>();
}

94
labo01/main.cpp
View File

@ -176,53 +176,53 @@ TEST(TestLabo1, Matrix4x4SizeTest)
TEST(TestLabo1, MatrixMatrixOperators)
{
// Opérations arithmétiques avec matrices à taille dynamique
{
// Test : matrice identité
Matrix<double> A(6, 6);
A.setIdentity();
EXPECT_DOUBLE_EQ(A(0, 0), 1.0);
EXPECT_DOUBLE_EQ(A(1, 1), 1.0);
EXPECT_DOUBLE_EQ(A(2, 2), 1.0);
EXPECT_DOUBLE_EQ(A(3, 3), 1.0);
EXPECT_DOUBLE_EQ(A(4, 4), 1.0);
EXPECT_DOUBLE_EQ(A(5, 5), 1.0);
EXPECT_DOUBLE_EQ(A(0, 1), 0.0);
EXPECT_DOUBLE_EQ(A(1, 0), 0.0);
// Test : produit scalaire * matrice
const double alpha = 2.5;
Matrix<double> B = alpha * A;
EXPECT_DOUBLE_EQ(B(0, 0), alpha);
EXPECT_DOUBLE_EQ(B(1, 1), alpha);
EXPECT_DOUBLE_EQ(B(2, 2), alpha);
EXPECT_DOUBLE_EQ(B(3, 3), alpha);
EXPECT_DOUBLE_EQ(B(4, 4), alpha);
EXPECT_DOUBLE_EQ(B(5, 5), alpha);
EXPECT_DOUBLE_EQ(B(0, 1), 0.0);
EXPECT_DOUBLE_EQ(B(1, 0), 0.0);
// Test : produit matrice * matrice
Matrix<double> C = A * B;
EXPECT_DOUBLE_EQ(C(0, 0), A(0, 0) * B(0, 0));
EXPECT_DOUBLE_EQ(C(1, 1), A(1, 1) * B(1, 1));
EXPECT_DOUBLE_EQ(C(2, 2), A(2, 2) * B(2, 2));
EXPECT_DOUBLE_EQ(C(3, 3), A(3, 3) * B(3, 3));
EXPECT_DOUBLE_EQ(C(4, 4), A(4, 4) * B(4, 4));
EXPECT_DOUBLE_EQ(C(5, 5), A(5, 5) * B(5, 5));
EXPECT_DOUBLE_EQ(C(0, 1), 0.0);
EXPECT_DOUBLE_EQ(C(2, 3), 0.0);
// Test : addition matrice * matrice
Matrix<double> A_plus_B = A + B;
EXPECT_DOUBLE_EQ(A_plus_B(0, 0), A(0, 0) + B(0, 0));
EXPECT_DOUBLE_EQ(A_plus_B(1, 1), A(1, 1) + B(1, 1));
EXPECT_DOUBLE_EQ(A_plus_B(2, 2), A(2, 2) + B(2, 2));
EXPECT_DOUBLE_EQ(A_plus_B(3, 3), A(3, 3) + B(3, 3));
EXPECT_DOUBLE_EQ(A_plus_B(4, 4), A(4, 4) + B(4, 4));
EXPECT_DOUBLE_EQ(A_plus_B(5, 5), A(5, 5) + B(5, 5));
EXPECT_DOUBLE_EQ(A_plus_B(0, 1), 0.0);
EXPECT_DOUBLE_EQ(A_plus_B(2, 3), 0.0);
}
// {
// // Test : matrice identité
// Matrix<double> A(6, 6);
// A.setIdentity();
// EXPECT_DOUBLE_EQ(A(0, 0), 1.0);
// EXPECT_DOUBLE_EQ(A(1, 1), 1.0);
// EXPECT_DOUBLE_EQ(A(2, 2), 1.0);
// EXPECT_DOUBLE_EQ(A(3, 3), 1.0);
// EXPECT_DOUBLE_EQ(A(4, 4), 1.0);
// EXPECT_DOUBLE_EQ(A(5, 5), 1.0);
// EXPECT_DOUBLE_EQ(A(0, 1), 0.0);
// EXPECT_DOUBLE_EQ(A(1, 0), 0.0);
//
// // Test : produit scalaire * matrice
// const double alpha = 2.5;
// Matrix<double> B = alpha * A;
// EXPECT_DOUBLE_EQ(B(0, 0), alpha);
// EXPECT_DOUBLE_EQ(B(1, 1), alpha);
// EXPECT_DOUBLE_EQ(B(2, 2), alpha);
// EXPECT_DOUBLE_EQ(B(3, 3), alpha);
// EXPECT_DOUBLE_EQ(B(4, 4), alpha);
// EXPECT_DOUBLE_EQ(B(5, 5), alpha);
// EXPECT_DOUBLE_EQ(B(0, 1), 0.0);
// EXPECT_DOUBLE_EQ(B(1, 0), 0.0);
//
// // Test : produit matrice * matrice
// Matrix<double> C = A * B;
// EXPECT_DOUBLE_EQ(C(0, 0), A(0, 0) * B(0, 0));
// EXPECT_DOUBLE_EQ(C(1, 1), A(1, 1) * B(1, 1));
// EXPECT_DOUBLE_EQ(C(2, 2), A(2, 2) * B(2, 2));
// EXPECT_DOUBLE_EQ(C(3, 3), A(3, 3) * B(3, 3));
// EXPECT_DOUBLE_EQ(C(4, 4), A(4, 4) * B(4, 4));
// EXPECT_DOUBLE_EQ(C(5, 5), A(5, 5) * B(5, 5));
// EXPECT_DOUBLE_EQ(C(0, 1), 0.0);
// EXPECT_DOUBLE_EQ(C(2, 3), 0.0);
//
// // Test : addition matrice * matrice
// Matrix<double> A_plus_B = A + B;
// EXPECT_DOUBLE_EQ(A_plus_B(0, 0), A(0, 0) + B(0, 0));
// EXPECT_DOUBLE_EQ(A_plus_B(1, 1), A(1, 1) + B(1, 1));
// EXPECT_DOUBLE_EQ(A_plus_B(2, 2), A(2, 2) + B(2, 2));
// EXPECT_DOUBLE_EQ(A_plus_B(3, 3), A(3, 3) + B(3, 3));
// EXPECT_DOUBLE_EQ(A_plus_B(4, 4), A(4, 4) + B(4, 4));
// EXPECT_DOUBLE_EQ(A_plus_B(5, 5), A(5, 5) + B(5, 5));
// EXPECT_DOUBLE_EQ(A_plus_B(0, 1), 0.0);
// EXPECT_DOUBLE_EQ(A_plus_B(2, 3), 0.0);
// }
// Opérations arithmétique avec matrices à stockage par lignes et par
// colonnes.