634 lines
20 KiB
C
634 lines
20 KiB
C
#ifndef _BGC_MATRIX2X2_H_
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#define _BGC_MATRIX2X2_H_
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#include "angle.h"
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#include "vector2.h"
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#include "matrices.h"
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// =================== Reset ==================== //
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inline void bgc_fp32_matrix2x2_reset(BGC_FP32_Matrix2x2* matrix)
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{
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matrix->row1_col1 = 0.0f;
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matrix->row1_col2 = 0.0f;
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matrix->row2_col1 = 0.0f;
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matrix->row2_col2 = 0.0f;
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}
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inline void bgc_fp64_matrix2x2_reset(BGC_FP64_Matrix2x2* matrix)
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{
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matrix->row1_col1 = 0.0;
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matrix->row1_col2 = 0.0;
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matrix->row2_col1 = 0.0;
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matrix->row2_col2 = 0.0;
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}
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// ================== Identity ================== //
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inline void bgc_fp32_matrix2x2_make_identity(BGC_FP32_Matrix2x2* matrix)
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{
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matrix->row1_col1 = 1.0f;
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matrix->row1_col2 = 0.0f;
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matrix->row2_col1 = 0.0f;
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matrix->row2_col2 = 1.0f;
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}
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inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* matrix)
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{
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matrix->row1_col1 = 1.0;
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matrix->row1_col2 = 0.0;
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matrix->row2_col1 = 0.0;
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matrix->row2_col2 = 1.0;
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}
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// ================ Set Diagonal ================ //
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inline void bgc_fp32_matrix2x2_make_diagonal(BGC_FP32_Matrix2x2* matrix, const float d1, const float d2)
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{
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matrix->row1_col1 = d1;
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matrix->row1_col2 = 0.0f;
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matrix->row2_col1 = 0.0f;
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matrix->row2_col2 = d2;
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}
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inline void bgc_fp64_matrix2x2_make_diagonal(BGC_FP64_Matrix2x2* matrix, const double d1, const double d2)
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{
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matrix->row1_col1 = d1;
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matrix->row1_col2 = 0.0;
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matrix->row2_col1 = 0.0;
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matrix->row2_col2 = d2;
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}
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// ============== Rotation Matrix =============== //
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inline void bgc_fp32_matrix2x2_make_for_turn(BGC_FP32_Matrix2x2* matrix, const float angle, const int angle_unit)
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{
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const float radians = bgc_fp32_angle_to_radians(angle, angle_unit);
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const float cosine = cosf(radians);
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const float sine = sinf(radians);
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matrix->row1_col1 = cosine;
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matrix->row1_col2 = -sine;
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matrix->row2_col1 = sine;
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matrix->row2_col2 = cosine;
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}
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inline void bgc_fp64_matrix2x2_make_for_turn(BGC_FP64_Matrix2x2* matrix, const double angle, const int angle_unit)
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{
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const double radians = bgc_fp64_angle_to_radians(angle, angle_unit);
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const double cosine = cos(radians);
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const double sine = sin(radians);
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matrix->row1_col1 = cosine;
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matrix->row1_col2 = -sine;
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matrix->row2_col1 = sine;
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matrix->row2_col2 = cosine;
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}
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// ================ Determinant ================= //
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inline float bgc_fp32_matrix2x2_get_determinant(const BGC_FP32_Matrix2x2* matrix)
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{
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return matrix->row1_col1 * matrix->row2_col2 - matrix->row1_col2 * matrix->row2_col1;
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}
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inline double bgc_fp64_matrix2x2_get_determinant(const BGC_FP64_Matrix2x2* matrix)
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{
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return matrix->row1_col1 * matrix->row2_col2 - matrix->row1_col2 * matrix->row2_col1;
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}
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// ================ Is Identity ================= //
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inline int bgc_fp32_matrix2x2_is_identity(const BGC_FP32_Matrix2x2* matrix)
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{
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return bgc_fp32_is_unit(matrix->row1_col1) && bgc_fp32_is_zero(matrix->row1_col2)
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&& bgc_fp32_is_zero(matrix->row2_col1) && bgc_fp32_is_unit(matrix->row2_col2);
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}
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inline int bgc_fp64_matrix2x2_is_identity(const BGC_FP64_Matrix2x2* matrix)
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{
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return bgc_fp64_is_unit(matrix->row1_col1) && bgc_fp64_is_zero(matrix->row1_col2)
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&& bgc_fp64_is_zero(matrix->row2_col1) && bgc_fp64_is_unit(matrix->row2_col2);
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}
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// ================ Is Singular ================= //
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inline int bgc_fp32_matrix2x2_is_singular(const BGC_FP32_Matrix2x2* matrix)
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{
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return bgc_fp32_is_zero(bgc_fp32_matrix2x2_get_determinant(matrix));
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}
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inline int bgc_fp64_matrix2x2_is_singular(const BGC_FP64_Matrix2x2* matrix)
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{
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return bgc_fp64_is_zero(bgc_fp64_matrix2x2_get_determinant(matrix));
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}
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// ================ Is Rotation ================= //
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inline int bgc_fp32_matrix2x2_is_rotation(const BGC_FP32_Matrix2x2* matrix)
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{
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BGC_FP32_Matrix2x2 product;
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product.row1_col1 = matrix->row1_col1 * matrix->row1_col1 + matrix->row1_col2 * matrix->row2_col1;
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product.row1_col2 = matrix->row1_col1 * matrix->row1_col2 + matrix->row1_col2 * matrix->row2_col2;
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product.row2_col1 = matrix->row2_col1 * matrix->row1_col1 + matrix->row2_col2 * matrix->row2_col1;
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product.row2_col2 = matrix->row2_col1 * matrix->row1_col2 + matrix->row2_col2 * matrix->row2_col2;
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return bgc_fp32_matrix2x2_is_identity(&product);
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}
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inline int bgc_fp64_matrix2x2_is_rotation(const BGC_FP64_Matrix2x2* matrix)
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{
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BGC_FP64_Matrix2x2 product;
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product.row1_col1 = matrix->row1_col1 * matrix->row1_col1 + matrix->row1_col2 * matrix->row2_col1;
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product.row1_col2 = matrix->row1_col1 * matrix->row1_col2 + matrix->row1_col2 * matrix->row2_col2;
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product.row2_col1 = matrix->row2_col1 * matrix->row1_col1 + matrix->row2_col2 * matrix->row2_col1;
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product.row2_col2 = matrix->row2_col1 * matrix->row1_col2 + matrix->row2_col2 * matrix->row2_col2;
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return bgc_fp64_matrix2x2_is_identity(&product);
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}
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// ==================== Copy ==================== //
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inline void bgc_fp32_matrix2x2_copy(BGC_FP32_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source)
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{
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destination->row1_col1 = source->row1_col1;
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destination->row1_col2 = source->row1_col2;
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destination->row2_col1 = source->row2_col1;
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destination->row2_col2 = source->row2_col2;
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}
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inline void bgc_fp64_matrix2x2_copy(BGC_FP64_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source)
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{
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destination->row1_col1 = source->row1_col1;
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destination->row1_col2 = source->row1_col2;
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destination->row2_col1 = source->row2_col1;
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destination->row2_col2 = source->row2_col2;
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}
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// ==================== Swap ==================== //
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inline void bgc_fp32_matrix2x2_swap(BGC_FP32_Matrix2x2* matrix1, BGC_FP32_Matrix2x2* matrix2)
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{
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const float row1_col1 = matrix2->row1_col1;
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const float row1_col2 = matrix2->row1_col2;
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const float row2_col1 = matrix2->row2_col1;
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const float row2_col2 = matrix2->row2_col2;
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matrix2->row1_col1 = matrix1->row1_col1;
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matrix2->row1_col2 = matrix1->row1_col2;
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matrix2->row2_col1 = matrix1->row2_col1;
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matrix2->row2_col2 = matrix1->row2_col2;
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matrix1->row1_col1 = row1_col1;
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matrix1->row1_col2 = row1_col2;
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matrix1->row2_col1 = row2_col1;
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matrix1->row2_col2 = row2_col2;
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}
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inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* matrix1, BGC_FP64_Matrix2x2* matrix2)
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{
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const double row1_col1 = matrix2->row1_col1;
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const double row1_col2 = matrix2->row1_col2;
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const double row2_col1 = matrix2->row2_col1;
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const double row2_col2 = matrix2->row2_col2;
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matrix2->row1_col1 = matrix1->row1_col1;
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matrix2->row1_col2 = matrix1->row1_col2;
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matrix2->row2_col1 = matrix1->row2_col1;
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matrix2->row2_col2 = matrix1->row2_col2;
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matrix1->row1_col1 = row1_col1;
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matrix1->row1_col2 = row1_col2;
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matrix1->row2_col1 = row2_col1;
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matrix1->row2_col2 = row2_col2;
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}
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// ================== Convert =================== //
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inline void bgc_fp64_matrix2x2_convert_to_fp32(BGC_FP32_Matrix2x2* destination, const BGC_FP64_Matrix2x2* source)
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{
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destination->row1_col1 = (float)source->row1_col1;
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destination->row1_col2 = (float)source->row1_col2;
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destination->row2_col1 = (float)source->row2_col1;
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destination->row2_col2 = (float)source->row2_col2;
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}
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inline void bgc_fp32_matrix2x2_convert_to_fp64(BGC_FP64_Matrix2x2* destination, const BGC_FP32_Matrix2x2* source)
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{
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destination->row1_col1 = source->row1_col1;
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destination->row1_col2 = source->row1_col2;
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destination->row2_col1 = source->row2_col1;
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destination->row2_col2 = source->row2_col2;
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}
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// ================ Get Inverse ================= //
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inline int bgc_fp32_matrix2x2_get_inverse(BGC_FP32_Matrix2x2* inverse, const BGC_FP32_Matrix2x2* matrix)
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{
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const float determinant = bgc_fp32_matrix2x2_get_determinant(matrix);
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if (bgc_fp32_is_zero(determinant)) {
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return 0;
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}
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const float row1_col1 = matrix->row2_col2;
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const float row1_col2 = -matrix->row1_col2;
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const float row2_col1 = -matrix->row2_col1;
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const float row2_col2 = matrix->row1_col1;
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const float multiplier = 1.0f / determinant;
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inverse->row1_col1 = row1_col1 * multiplier;
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inverse->row1_col2 = row1_col2 * multiplier;
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inverse->row2_col1 = row2_col1 * multiplier;
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inverse->row2_col2 = row2_col2 * multiplier;
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return 1;
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}
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inline int bgc_fp64_matrix2x2_get_inverse(BGC_FP64_Matrix2x2* inverse, const BGC_FP64_Matrix2x2* matrix)
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{
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const double determinant = bgc_fp64_matrix2x2_get_determinant(matrix);
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if (bgc_fp64_is_zero(determinant)) {
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return 0;
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}
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const double row1_col1 = matrix->row2_col2;
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const double row1_col2 = -matrix->row1_col2;
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const double row2_col1 = -matrix->row2_col1;
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const double row2_col2 = matrix->row1_col1;
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const double multiplier = 1.0 / determinant;
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inverse->row1_col1 = row1_col1 * multiplier;
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inverse->row1_col2 = row1_col2 * multiplier;
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inverse->row2_col1 = row2_col1 * multiplier;
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inverse->row2_col2 = row2_col2 * multiplier;
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return 1;
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}
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// =================== Invert =================== //
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inline int bgc_fp32_matrix2x2_invert(BGC_FP32_Matrix2x2* matrix)
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{
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return bgc_fp32_matrix2x2_get_inverse(matrix, matrix);
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}
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inline int bgc_fp64_matrix2x2_invert(BGC_FP64_Matrix2x2* matrix)
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{
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return bgc_fp64_matrix2x2_get_inverse(matrix, matrix);
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}
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// ================= Transpose ================== //
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inline void bgc_fp32_matrix2x2_transpose(BGC_FP32_Matrix2x2* matrix)
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{
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const float row1_col2 = matrix->row1_col2;
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matrix->row1_col2 = matrix->row2_col1;
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matrix->row2_col1 = row1_col2;
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}
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inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* matrix)
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{
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const double row1_col2 = matrix->row1_col2;
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matrix->row1_col2 = matrix->row2_col1;
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matrix->row2_col1 = row1_col2;
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}
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// =============== Get Transpose ================ //
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inline void bgc_fp32_matrix2x2_get_transposed(BGC_FP32_Matrix2x2* transposed, const BGC_FP32_Matrix2x2* matrix)
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{
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const float row1_col2 = matrix->row1_col2;
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transposed->row1_col1 = matrix->row1_col1;
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transposed->row1_col2 = matrix->row2_col1;
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transposed->row2_col1 = row1_col2;
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transposed->row2_col2 = matrix->row2_col2;
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}
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inline void bgc_fp64_matrix2x2_get_transposed(BGC_FP64_Matrix2x2* transposed, const BGC_FP64_Matrix2x2* matrix)
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{
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const double row1_col2 = matrix->row1_col2;
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transposed->row1_col1 = matrix->row1_col1;
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transposed->row1_col2 = matrix->row2_col1;
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transposed->row2_col1 = row1_col2;
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transposed->row2_col2 = matrix->row2_col2;
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}
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// ================== Get Row =================== //
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inline void bgc_fp32_matrix2x2_get_row(BGC_FP32_Vector2* row, const BGC_FP32_Matrix2x2* matrix, const int row_number)
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{
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if (row_number == 1) {
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row->x1 = matrix->row1_col1;
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row->x2 = matrix->row1_col2;
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return;
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}
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if (row_number == 2) {
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row->x1 = matrix->row2_col1;
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row->x2 = matrix->row2_col2;
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return;
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}
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row->x1 = 0.0f;
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row->x2 = 0.0f;
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}
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inline void bgc_fp64_matrix2x2_get_row(BGC_FP64_Vector2* row, const BGC_FP64_Matrix2x2* matrix, const int row_number)
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{
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if (row_number == 1) {
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row->x1 = matrix->row1_col1;
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row->x2 = matrix->row1_col2;
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return;
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}
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if (row_number == 2) {
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row->x1 = matrix->row2_col1;
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row->x2 = matrix->row2_col2;
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return;
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}
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row->x1 = 0.0;
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row->x2 = 0.0;
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}
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// ================== Set Row =================== //
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inline void bgc_fp32_matrix2x2_set_row(BGC_FP32_Matrix2x2* matrix, const int row_number, const BGC_FP32_Vector2* row)
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{
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if (row_number == 1) {
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matrix->row1_col1 = row->x1;
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matrix->row1_col2 = row->x2;
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return;
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}
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if (row_number == 2) {
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matrix->row2_col1 = row->x1;
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matrix->row2_col2 = row->x2;
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}
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}
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inline void bgc_fp64_matrix2x2_set_row(BGC_FP64_Matrix2x2* matrix, const int row_number, const BGC_FP64_Vector2* row)
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{
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if (row_number == 1) {
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matrix->row1_col1 = row->x1;
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matrix->row1_col2 = row->x2;
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return;
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}
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if (row_number == 2) {
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matrix->row2_col1 = row->x1;
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matrix->row2_col2 = row->x2;
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}
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}
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// ================= Get Column ================= //
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inline void bgc_fp32_matrix2x2_get_column(BGC_FP32_Vector2* column, const BGC_FP32_Matrix2x2* matrix, const int column_number)
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{
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if (column_number == 1) {
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column->x1 = matrix->row1_col1;
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column->x2 = matrix->row2_col1;
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return;
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}
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if (column_number == 2) {
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column->x1 = matrix->row1_col2;
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column->x2 = matrix->row2_col2;
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return;
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}
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column->x1 = 0.0f;
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column->x2 = 0.0f;
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}
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inline void bgc_fp64_matrix2x2_get_column(BGC_FP64_Vector2* column, const BGC_FP64_Matrix2x2* matrix, const int column_number)
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{
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if (column_number == 1) {
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column->x1 = matrix->row1_col1;
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column->x2 = matrix->row2_col1;
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return;
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}
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if (column_number == 2) {
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column->x1 = matrix->row1_col2;
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column->x2 = matrix->row2_col2;
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return;
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}
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column->x1 = 0.0;
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column->x2 = 0.0;
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}
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// ================= Set Column ================= //
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inline void bgc_fp32_matrix2x2_set_column(BGC_FP32_Matrix2x2* matrix, const int column_number, const BGC_FP32_Vector2* column)
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{
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if (column_number == 1) {
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matrix->row1_col1 = column->x1;
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matrix->row2_col1 = column->x2;
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return;
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}
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if (column_number == 2) {
|
|
matrix->row1_col2 = column->x1;
|
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matrix->row2_col2 = column->x2;
|
|
}
|
|
}
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|
|
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inline void bgc_fp64_matrix2x2_set_column(BGC_FP64_Matrix2x2* matrix, const int column_number, const BGC_FP64_Vector2* column)
|
|
{
|
|
if (column_number == 1) {
|
|
matrix->row1_col1 = column->x1;
|
|
matrix->row2_col1 = column->x2;
|
|
return;
|
|
}
|
|
|
|
if (column_number == 2) {
|
|
matrix->row1_col2 = column->x1;
|
|
matrix->row2_col2 = column->x2;
|
|
}
|
|
}
|
|
|
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// ==================== Add ===================== //
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|
|
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inline void bgc_fp32_matrix2x2_add(BGC_FP32_Matrix2x2* sum, const BGC_FP32_Matrix2x2* matrix1, const BGC_FP32_Matrix2x2* matrix2)
|
|
{
|
|
sum->row1_col1 = matrix1->row1_col1 + matrix2->row1_col1;
|
|
sum->row1_col2 = matrix1->row1_col2 + matrix2->row1_col2;
|
|
|
|
sum->row2_col1 = matrix1->row2_col1 + matrix2->row2_col1;
|
|
sum->row2_col2 = matrix1->row2_col2 + matrix2->row2_col2;
|
|
}
|
|
|
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inline void bgc_fp64_matrix2x2_add(BGC_FP64_Matrix2x2* sum, const BGC_FP64_Matrix2x2* matrix1, const BGC_FP64_Matrix2x2* matrix2)
|
|
{
|
|
sum->row1_col1 = matrix1->row1_col1 + matrix2->row1_col1;
|
|
sum->row1_col2 = matrix1->row1_col2 + matrix2->row1_col2;
|
|
|
|
sum->row2_col1 = matrix1->row2_col1 + matrix2->row2_col1;
|
|
sum->row2_col2 = matrix1->row2_col2 + matrix2->row2_col2;
|
|
}
|
|
|
|
// ================= Add scaled ================= //
|
|
|
|
inline void bgc_fp32_matrix2x2_add_scaled(BGC_FP32_Matrix2x2* sum, const BGC_FP32_Matrix2x2* basic_matrix, const BGC_FP32_Matrix2x2* scalable_matrix, const float scale)
|
|
{
|
|
sum->row1_col1 = basic_matrix->row1_col1 + scalable_matrix->row1_col1 * scale;
|
|
sum->row1_col2 = basic_matrix->row1_col2 + scalable_matrix->row1_col2 * scale;
|
|
|
|
sum->row2_col1 = basic_matrix->row2_col1 + scalable_matrix->row2_col1 * scale;
|
|
sum->row2_col2 = basic_matrix->row2_col2 + scalable_matrix->row2_col2 * scale;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_add_scaled(BGC_FP64_Matrix2x2* sum, const BGC_FP64_Matrix2x2* basic_matrix, const BGC_FP64_Matrix2x2* scalable_matrix, const double scale)
|
|
{
|
|
sum->row1_col1 = basic_matrix->row1_col1 + scalable_matrix->row1_col1 * scale;
|
|
sum->row1_col2 = basic_matrix->row1_col2 + scalable_matrix->row1_col2 * scale;
|
|
|
|
sum->row2_col1 = basic_matrix->row2_col1 + scalable_matrix->row2_col1 * scale;
|
|
sum->row2_col2 = basic_matrix->row2_col2 + scalable_matrix->row2_col2 * scale;
|
|
}
|
|
|
|
// ================== Subtract ================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_subtract(BGC_FP32_Matrix2x2* difference, const BGC_FP32_Matrix2x2* minuend, const BGC_FP32_Matrix2x2* subtrahend)
|
|
{
|
|
difference->row1_col1 = minuend->row1_col1 - subtrahend->row1_col1;
|
|
difference->row1_col2 = minuend->row1_col2 - subtrahend->row1_col2;
|
|
|
|
difference->row2_col1 = minuend->row2_col1 - subtrahend->row2_col1;
|
|
difference->row2_col2 = minuend->row2_col2 - subtrahend->row2_col2;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_subtract(BGC_FP64_Matrix2x2* difference, const BGC_FP64_Matrix2x2* minuend, const BGC_FP64_Matrix2x2* subtrahend)
|
|
{
|
|
difference->row1_col1 = minuend->row1_col1 - subtrahend->row1_col1;
|
|
difference->row1_col2 = minuend->row1_col2 - subtrahend->row1_col2;
|
|
|
|
difference->row2_col1 = minuend->row2_col1 - subtrahend->row2_col1;
|
|
difference->row2_col2 = minuend->row2_col2 - subtrahend->row2_col2;
|
|
}
|
|
|
|
// ================== Multiply ================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_multiply(BGC_FP32_Matrix2x2* product, const BGC_FP32_Matrix2x2* multiplicand, const float multiplier)
|
|
{
|
|
product->row1_col1 = multiplicand->row1_col1 * multiplier;
|
|
product->row1_col2 = multiplicand->row1_col2 * multiplier;
|
|
|
|
product->row2_col1 = multiplicand->row2_col1 * multiplier;
|
|
product->row2_col2 = multiplicand->row2_col2 * multiplier;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_multiply(BGC_FP64_Matrix2x2* product, const BGC_FP64_Matrix2x2* multiplicand, const double multiplier)
|
|
{
|
|
product->row1_col1 = multiplicand->row1_col1 * multiplier;
|
|
product->row1_col2 = multiplicand->row1_col2 * multiplier;
|
|
|
|
product->row2_col1 = multiplicand->row2_col1 * multiplier;
|
|
product->row2_col2 = multiplicand->row2_col2 * multiplier;
|
|
}
|
|
|
|
// =================== Divide =================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_divide(BGC_FP32_Matrix2x2* quotient, const BGC_FP32_Matrix2x2* dividend, const float divisor)
|
|
{
|
|
bgc_fp32_matrix2x2_multiply(quotient, dividend, 1.0f / divisor);
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_divide(BGC_FP64_Matrix2x2* quotient, const BGC_FP64_Matrix2x2* dividend, const double divisor)
|
|
{
|
|
bgc_fp64_matrix2x2_multiply(quotient, dividend, 1.0 / divisor);
|
|
}
|
|
|
|
// ================ Interpolate ================= //
|
|
|
|
inline void bgc_fp32_matrix2x2_interpolate(BGC_FP32_Matrix2x2* interpolation, const BGC_FP32_Matrix2x2* first, const BGC_FP32_Matrix2x2* second, const float phase)
|
|
{
|
|
const float counter_phase = 1.0f - phase;
|
|
|
|
interpolation->row1_col1 = first->row1_col1 * counter_phase + second->row1_col1 * phase;
|
|
interpolation->row1_col2 = first->row1_col2 * counter_phase + second->row1_col2 * phase;
|
|
|
|
interpolation->row2_col1 = first->row2_col1 * counter_phase + second->row2_col1 * phase;
|
|
interpolation->row2_col2 = first->row2_col2 * counter_phase + second->row2_col2 * phase;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_interpolate(BGC_FP64_Matrix2x2* interpolation, const BGC_FP64_Matrix2x2* first, const BGC_FP64_Matrix2x2* second, const double phase)
|
|
{
|
|
const double counter_phase = 1.0 - phase;
|
|
|
|
interpolation->row1_col1 = first->row1_col1 * counter_phase + second->row1_col1 * phase;
|
|
interpolation->row1_col2 = first->row1_col2 * counter_phase + second->row1_col2 * phase;
|
|
|
|
interpolation->row2_col1 = first->row2_col1 * counter_phase + second->row2_col1 * phase;
|
|
interpolation->row2_col2 = first->row2_col2 * counter_phase + second->row2_col2 * phase;
|
|
}
|
|
|
|
// ============ Right Vector Product ============ //
|
|
|
|
inline void bgc_fp32_multiply_matrix2x2_by_vector2(BGC_FP32_Vector2* product, const BGC_FP32_Matrix2x2* matrix, const BGC_FP32_Vector2* vector)
|
|
{
|
|
const float x1 = matrix->row1_col1 * vector->x1 + matrix->row1_col2 * vector->x2;
|
|
const float x2 = matrix->row2_col1 * vector->x1 + matrix->row2_col2 * vector->x2;
|
|
|
|
product->x1 = x1;
|
|
product->x2 = x2;
|
|
}
|
|
|
|
inline void bgc_fp64_multiply_matrix2x2_by_vector2(BGC_FP64_Vector2* product, const BGC_FP64_Matrix2x2* matrix, const BGC_FP64_Vector2* vector)
|
|
{
|
|
const double x1 = matrix->row1_col1 * vector->x1 + matrix->row1_col2 * vector->x2;
|
|
const double x2 = matrix->row2_col1 * vector->x1 + matrix->row2_col2 * vector->x2;
|
|
|
|
product->x1 = x1;
|
|
product->x2 = x2;
|
|
}
|
|
|
|
// ============ Left Vector Product ============= //
|
|
|
|
inline void bgc_fp32_multiply_vector2_by_matrix2x2(BGC_FP32_Vector2* product, const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix2x2* matrix)
|
|
{
|
|
const float x1 = vector->x1 * matrix->row1_col1 + vector->x2 * matrix->row2_col1;
|
|
const float x2 = vector->x1 * matrix->row1_col2 + vector->x2 * matrix->row2_col2;
|
|
|
|
product->x1 = x1;
|
|
product->x2 = x2;
|
|
}
|
|
|
|
inline void bgc_fp64_multiply_vector2_by_matrix2x2(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix2x2* matrix)
|
|
{
|
|
const double x1 = vector->x1 * matrix->row1_col1 + vector->x2 * matrix->row2_col1;
|
|
const double x2 = vector->x1 * matrix->row1_col2 + vector->x2 * matrix->row2_col2;
|
|
|
|
product->x1 = x1;
|
|
product->x2 = x2;
|
|
}
|
|
|
|
#endif
|