758 lines
24 KiB
C
758 lines
24 KiB
C
#ifndef _BGC_MATRIX2X2_H_INCLUDED_
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#define _BGC_MATRIX2X2_H_INCLUDED_
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#include <math.h>
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#include "./utilities.h"
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#include "./types.h"
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#include "./angle.h"
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// =================== Reset ==================== //
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inline void bgc_fp32_matrix2x2_reset(BGC_FP32_Matrix2x2* const matrix)
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{
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matrix->r1c1 = 0.0f;
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matrix->r1c2 = 0.0f;
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matrix->r2c1 = 0.0f;
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matrix->r2c2 = 0.0f;
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}
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inline void bgc_fp64_matrix2x2_reset(BGC_FP64_Matrix2x2* const matrix)
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{
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matrix->r1c1 = 0.0;
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matrix->r1c2 = 0.0;
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matrix->r2c1 = 0.0;
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matrix->r2c2 = 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* const matrix)
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{
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matrix->r1c1 = 1.0f;
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matrix->r1c2 = 0.0f;
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matrix->r2c1 = 0.0f;
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matrix->r2c2 = 1.0f;
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}
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inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* const matrix)
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{
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matrix->r1c1 = 1.0;
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matrix->r1c2 = 0.0;
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matrix->r2c1 = 0.0;
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matrix->r2c2 = 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* const matrix, const float d1, const float d2)
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{
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matrix->r1c1 = d1;
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matrix->r1c2 = 0.0f;
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matrix->r2c1 = 0.0f;
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matrix->r2c2 = d2;
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}
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inline void bgc_fp64_matrix2x2_make_diagonal(BGC_FP64_Matrix2x2* const matrix, const double d1, const double d2)
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{
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matrix->r1c1 = d1;
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matrix->r1c2 = 0.0;
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matrix->r2c1 = 0.0;
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matrix->r2c2 = d2;
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}
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// ============== Rotation Matrix =============== //
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inline void bgc_fp32_matrix2x2_set_turn(BGC_FP32_Matrix2x2* const 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->r1c1 = cosine;
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matrix->r1c2 = -sine;
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matrix->r2c1 = sine;
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matrix->r2c2 = cosine;
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}
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inline void bgc_fp64_matrix2x2_set_turn(BGC_FP64_Matrix2x2* const 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->r1c1 = cosine;
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matrix->r1c2 = -sine;
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matrix->r2c1 = sine;
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matrix->r2c2 = 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* const matrix)
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{
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return matrix->r1c1 * matrix->r2c2 - matrix->r1c2 * matrix->r2c1;
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}
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inline double bgc_fp64_matrix2x2_get_determinant(const BGC_FP64_Matrix2x2* const matrix)
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{
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return matrix->r1c1 * matrix->r2c2 - matrix->r1c2 * matrix->r2c1;
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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* const matrix)
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{
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return bgc_fp32_is_unit(matrix->r1c1) && bgc_fp32_is_zero(matrix->r1c2)
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&& bgc_fp32_is_zero(matrix->r2c1) && bgc_fp32_is_unit(matrix->r2c2);
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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->r1c1) && bgc_fp64_is_zero(matrix->r1c2)
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&& bgc_fp64_is_zero(matrix->r2c1) && bgc_fp64_is_unit(matrix->r2c2);
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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* const 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* const 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* const matrix)
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{
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BGC_FP32_Matrix2x2 product;
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product.r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1;
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product.r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2;
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product.r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1;
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product.r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2;
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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* const matrix)
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{
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BGC_FP64_Matrix2x2 product;
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product.r1c1 = matrix->r1c1 * matrix->r1c1 + matrix->r1c2 * matrix->r2c1;
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product.r1c2 = matrix->r1c1 * matrix->r1c2 + matrix->r1c2 * matrix->r2c2;
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product.r2c1 = matrix->r2c1 * matrix->r1c1 + matrix->r2c2 * matrix->r2c1;
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product.r2c2 = matrix->r2c1 * matrix->r1c2 + matrix->r2c2 * matrix->r2c2;
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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* const destination, const BGC_FP32_Matrix2x2* const source)
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{
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destination->r1c1 = source->r1c1;
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destination->r1c2 = source->r1c2;
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destination->r2c1 = source->r2c1;
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destination->r2c2 = source->r2c2;
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}
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inline void bgc_fp64_matrix2x2_copy(BGC_FP64_Matrix2x2* const destination, const BGC_FP64_Matrix2x2* const source)
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{
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destination->r1c1 = source->r1c1;
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destination->r1c2 = source->r1c2;
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destination->r2c1 = source->r2c1;
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destination->r2c2 = source->r2c2;
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}
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// ==================== Swap ==================== //
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inline void bgc_fp32_matrix2x2_swap(BGC_FP32_Matrix2x2* const matrix, BGC_FP32_Matrix2x2* const matriy)
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{
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const float r1c1 = matriy->r1c1;
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const float r1c2 = matriy->r1c2;
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const float r2c1 = matriy->r2c1;
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const float r2c2 = matriy->r2c2;
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matriy->r1c1 = matrix->r1c1;
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matriy->r1c2 = matrix->r1c2;
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matriy->r2c1 = matrix->r2c1;
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matriy->r2c2 = matrix->r2c2;
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matrix->r1c1 = r1c1;
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matrix->r1c2 = r1c2;
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matrix->r2c1 = r2c1;
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matrix->r2c2 = r2c2;
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}
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inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* const matrix, BGC_FP64_Matrix2x2* const matriy)
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{
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const double r1c1 = matriy->r1c1;
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const double r1c2 = matriy->r1c2;
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const double r2c1 = matriy->r2c1;
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const double r2c2 = matriy->r2c2;
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matriy->r1c1 = matrix->r1c1;
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matriy->r1c2 = matrix->r1c2;
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matriy->r2c1 = matrix->r2c1;
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matriy->r2c2 = matrix->r2c2;
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matrix->r1c1 = r1c1;
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matrix->r1c2 = r1c2;
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matrix->r2c1 = r2c1;
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matrix->r2c2 = r2c2;
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}
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// ================== Convert =================== //
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inline void bgc_fp64_matrix2x2_convert_to_fp32(BGC_FP32_Matrix2x2* const destination, const BGC_FP64_Matrix2x2* const source)
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{
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destination->r1c1 = (float)source->r1c1;
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destination->r1c2 = (float)source->r1c2;
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destination->r2c1 = (float)source->r2c1;
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destination->r2c2 = (float)source->r2c2;
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}
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inline void bgc_fp32_matrix2x2_convert_to_fp64(BGC_FP64_Matrix2x2* const destination, const BGC_FP32_Matrix2x2* const source)
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{
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destination->r1c1 = source->r1c1;
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destination->r1c2 = source->r1c2;
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destination->r2c1 = source->r2c1;
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destination->r2c2 = source->r2c2;
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}
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// ================ Get Inverse ================= //
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inline int bgc_fp32_matrix2x2_get_inverse(BGC_FP32_Matrix2x2* const inverse, const BGC_FP32_Matrix2x2* const 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 BGC_FAILURE;
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}
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const float r1c1 = matrix->r2c2;
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const float r1c2 = -matrix->r1c2;
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const float r2c1 = -matrix->r2c1;
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const float r2c2 = matrix->r1c1;
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const float multiplier = 1.0f / determinant;
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inverse->r1c1 = r1c1 * multiplier;
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inverse->r1c2 = r1c2 * multiplier;
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inverse->r2c1 = r2c1 * multiplier;
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inverse->r2c2 = r2c2 * multiplier;
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return BGC_SUCCESS;
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}
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inline int bgc_fp64_matrix2x2_get_inverse(BGC_FP64_Matrix2x2* const inverse, const BGC_FP64_Matrix2x2* const 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 BGC_FAILURE;
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}
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const double r1c1 = matrix->r2c2;
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const double r1c2 = -matrix->r1c2;
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const double r2c1 = -matrix->r2c1;
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const double r2c2 = matrix->r1c1;
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const double multiplier = 1.0 / determinant;
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inverse->r1c1 = r1c1 * multiplier;
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inverse->r1c2 = r1c2 * multiplier;
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inverse->r2c1 = r2c1 * multiplier;
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inverse->r2c2 = r2c2 * multiplier;
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return BGC_SUCCESS;
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}
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// =================== Invert =================== //
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inline int bgc_fp32_matrix2x2_invert(BGC_FP32_Matrix2x2* const 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* const 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* const matrix)
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{
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const float r1c2 = matrix->r1c2;
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matrix->r1c2 = matrix->r2c1;
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matrix->r2c1 = r1c2;
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}
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inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* const matrix)
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{
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const double r1c2 = matrix->r1c2;
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matrix->r1c2 = matrix->r2c1;
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matrix->r2c1 = r1c2;
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}
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// =============== Get Transpose ================ //
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inline void bgc_fp32_matrix2x2_get_transposed(BGC_FP32_Matrix2x2* const transposed, const BGC_FP32_Matrix2x2* const matrix)
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{
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const float r1c2 = matrix->r1c2;
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transposed->r1c1 = matrix->r1c1;
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transposed->r1c2 = matrix->r2c1;
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transposed->r2c1 = r1c2;
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transposed->r2c2 = matrix->r2c2;
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}
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inline void bgc_fp64_matrix2x2_get_transposed(BGC_FP64_Matrix2x2* const transposed, const BGC_FP64_Matrix2x2* const matrix)
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{
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const double r1c2 = matrix->r1c2;
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transposed->r1c1 = matrix->r1c1;
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transposed->r1c2 = matrix->r2c1;
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transposed->r2c1 = r1c2;
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transposed->r2c2 = matrix->r2c2;
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}
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// ================== Get Row =================== //
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inline void bgc_fp32_matrix2x2_get_row(BGC_FP32_Vector2* const row, const BGC_FP32_Matrix2x2* const matrix, const int row_number)
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{
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if (row_number == 1) {
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row->x = matrix->r1c1;
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row->y = matrix->r1c2;
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return;
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}
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if (row_number == 2) {
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row->x = matrix->r2c1;
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row->y = matrix->r2c2;
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return;
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}
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row->x = 0.0f;
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row->y = 0.0f;
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}
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inline void bgc_fp64_matrix2x2_get_row(BGC_FP64_Vector2* const row, const BGC_FP64_Matrix2x2* const matrix, const int row_number)
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{
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if (row_number == 1) {
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row->x = matrix->r1c1;
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row->y = matrix->r1c2;
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return;
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}
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if (row_number == 2) {
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row->x = matrix->r2c1;
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row->y = matrix->r2c2;
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return;
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}
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row->x = 0.0;
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row->y = 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* const matrix, const int row_number, const BGC_FP32_Vector2* const row)
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{
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if (row_number == 1) {
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matrix->r1c1 = row->x;
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matrix->r1c2 = row->y;
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return;
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}
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if (row_number == 2) {
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matrix->r2c1 = row->x;
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matrix->r2c2 = row->y;
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}
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}
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inline void bgc_fp64_matrix2x2_set_row(BGC_FP64_Matrix2x2* const matrix, const int row_number, const BGC_FP64_Vector2* const row)
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{
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if (row_number == 1) {
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matrix->r1c1 = row->x;
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matrix->r1c2 = row->y;
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return;
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}
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if (row_number == 2) {
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matrix->r2c1 = row->x;
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matrix->r2c2 = row->y;
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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* const column, const BGC_FP32_Matrix2x2* const matrix, const int column_number)
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{
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if (column_number == 1) {
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column->x = matrix->r1c1;
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column->y = matrix->r2c1;
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return;
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}
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if (column_number == 2) {
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column->x = matrix->r1c2;
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column->y = matrix->r2c2;
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return;
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}
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column->x = 0.0f;
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column->y = 0.0f;
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}
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inline void bgc_fp64_matrix2x2_get_column(BGC_FP64_Vector2* const column, const BGC_FP64_Matrix2x2* const matrix, const int column_number)
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{
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if (column_number == 1) {
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column->x = matrix->r1c1;
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column->y = matrix->r2c1;
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return;
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}
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if (column_number == 2) {
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column->x = matrix->r1c2;
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column->y = matrix->r2c2;
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return;
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}
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column->x = 0.0;
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column->y = 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* const matrix, const int column_number, const BGC_FP32_Vector2* const column)
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{
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if (column_number == 1) {
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matrix->r1c1 = column->x;
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matrix->r2c1 = column->y;
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return;
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}
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if (column_number == 2) {
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matrix->r1c2 = column->x;
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matrix->r2c2 = column->y;
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}
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}
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inline void bgc_fp64_matrix2x2_set_column(BGC_FP64_Matrix2x2* const matrix, const int column_number, const BGC_FP64_Vector2* const column)
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{
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if (column_number == 1) {
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matrix->r1c1 = column->x;
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matrix->r2c1 = column->y;
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return;
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}
|
|
|
|
if (column_number == 2) {
|
|
matrix->r1c2 = column->x;
|
|
matrix->r2c2 = column->y;
|
|
}
|
|
}
|
|
|
|
// ==================== Add ===================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_add(BGC_FP32_Matrix2x2* const sum, const BGC_FP32_Matrix2x2* const matrix, const BGC_FP32_Matrix2x2* const matriy)
|
|
{
|
|
sum->r1c1 = matrix->r1c1 + matriy->r1c1;
|
|
sum->r1c2 = matrix->r1c2 + matriy->r1c2;
|
|
|
|
sum->r2c1 = matrix->r2c1 + matriy->r2c1;
|
|
sum->r2c2 = matrix->r2c2 + matriy->r2c2;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_add(BGC_FP64_Matrix2x2* const sum, const BGC_FP64_Matrix2x2* const matrix, const BGC_FP64_Matrix2x2* const matriy)
|
|
{
|
|
sum->r1c1 = matrix->r1c1 + matriy->r1c1;
|
|
sum->r1c2 = matrix->r1c2 + matriy->r1c2;
|
|
|
|
sum->r2c1 = matrix->r2c1 + matriy->r2c1;
|
|
sum->r2c2 = matrix->r2c2 + matriy->r2c2;
|
|
}
|
|
|
|
// ================= Add Scaled ================= //
|
|
|
|
inline void bgc_fp32_matrix2x2_add_scaled(BGC_FP32_Matrix2x2* const sum, const BGC_FP32_Matrix2x2* const basic_matrix, const BGC_FP32_Matrix2x2* const scalable_matrix, const float scale)
|
|
{
|
|
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
|
|
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
|
|
|
|
sum->r2c1 = basic_matrix->r2c1 + scalable_matrix->r2c1 * scale;
|
|
sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_add_scaled(BGC_FP64_Matrix2x2* const sum, const BGC_FP64_Matrix2x2* const basic_matrix, const BGC_FP64_Matrix2x2* const scalable_matrix, const double scale)
|
|
{
|
|
sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
|
|
sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
|
|
|
|
sum->r2c1 = basic_matrix->r2c1 + scalable_matrix->r2c1 * scale;
|
|
sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale;
|
|
}
|
|
|
|
// ================== Subtract ================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_subtract(BGC_FP32_Matrix2x2* const difference, const BGC_FP32_Matrix2x2* const minuend, const BGC_FP32_Matrix2x2* const subtrahend)
|
|
{
|
|
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
|
|
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
|
|
|
|
difference->r2c1 = minuend->r2c1 - subtrahend->r2c1;
|
|
difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_subtract(BGC_FP64_Matrix2x2* const difference, const BGC_FP64_Matrix2x2* const minuend, const BGC_FP64_Matrix2x2* const subtrahend)
|
|
{
|
|
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
|
|
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
|
|
|
|
difference->r2c1 = minuend->r2c1 - subtrahend->r2c1;
|
|
difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
|
|
}
|
|
|
|
// ============== Subtract Scaled =============== //
|
|
|
|
inline void bgc_fp32_matrix2x2_subtract_scaled(BGC_FP32_Matrix2x2* const difference, const BGC_FP32_Matrix2x2* const basic_matrix, const BGC_FP32_Matrix2x2* const scalable_matrix, const float scale)
|
|
{
|
|
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
|
|
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
|
|
|
|
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
|
|
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_subtract_scaled(BGC_FP64_Matrix2x2* const difference, const BGC_FP64_Matrix2x2* const basic_matrix, const BGC_FP64_Matrix2x2* const scalable_matrix, const double scale)
|
|
{
|
|
difference->r1c1 = basic_matrix->r1c1 - scalable_matrix->r1c1 * scale;
|
|
difference->r1c2 = basic_matrix->r1c2 - scalable_matrix->r1c2 * scale;
|
|
|
|
difference->r2c1 = basic_matrix->r2c1 - scalable_matrix->r2c1 * scale;
|
|
difference->r2c2 = basic_matrix->r2c2 - scalable_matrix->r2c2 * scale;
|
|
}
|
|
|
|
// ================== Multiply ================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_multiply_by_real_number(BGC_FP32_Matrix2x2* const product, const BGC_FP32_Matrix2x2* const multiplicand, const float multiplier)
|
|
{
|
|
product->r1c1 = multiplicand->r1c1 * multiplier;
|
|
product->r1c2 = multiplicand->r1c2 * multiplier;
|
|
|
|
product->r2c1 = multiplicand->r2c1 * multiplier;
|
|
product->r2c2 = multiplicand->r2c2 * multiplier;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_multiply_by_real_number(BGC_FP64_Matrix2x2* const product, const BGC_FP64_Matrix2x2* const multiplicand, const double multiplier)
|
|
{
|
|
product->r1c1 = multiplicand->r1c1 * multiplier;
|
|
product->r1c2 = multiplicand->r1c2 * multiplier;
|
|
|
|
product->r2c1 = multiplicand->r2c1 * multiplier;
|
|
product->r2c2 = multiplicand->r2c2 * multiplier;
|
|
}
|
|
|
|
// ============ Right Vector Product ============ //
|
|
|
|
inline void bgc_fp32_matrix2x2_multiply_by_vector2(BGC_FP32_Vector2* const product, const BGC_FP32_Matrix2x2* const matrix, const BGC_FP32_Vector2* const vector)
|
|
{
|
|
const float x = matrix->r1c1 * vector->x + matrix->r1c2 * vector->y;
|
|
const float y = matrix->r2c1 * vector->x + matrix->r2c2 * vector->y;
|
|
|
|
product->x = x;
|
|
product->y = y;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_multiply_by_vector2(BGC_FP64_Vector2* const product, const BGC_FP64_Matrix2x2* const matrix, const BGC_FP64_Vector2* const vector)
|
|
{
|
|
const double x = matrix->r1c1 * vector->x + matrix->r1c2 * vector->y;
|
|
const double y = matrix->r2c1 * vector->x + matrix->r2c2 * vector->y;
|
|
|
|
product->x = x;
|
|
product->y = y;
|
|
}
|
|
|
|
// ========== Matrix Product 2y at 2y ========= //
|
|
|
|
inline void bgc_fp32_matrix2x2_multiply_by_matrix2x2(BGC_FP32_Matrix2x2* const product, const BGC_FP32_Matrix2x2* const matrix, const BGC_FP32_Matrix2x2* const matriy)
|
|
{
|
|
const float r1c1 = matrix->r1c1 * matriy->r1c1 + matrix->r1c2 * matriy->r2c1;
|
|
const float r1c2 = matrix->r1c1 * matriy->r1c2 + matrix->r1c2 * matriy->r2c2;
|
|
|
|
const float r2c1 = matrix->r2c1 * matriy->r1c1 + matrix->r2c2 * matriy->r2c1;
|
|
const float r2c2 = matrix->r2c1 * matriy->r1c2 + matrix->r2c2 * matriy->r2c2;
|
|
|
|
product->r1c1 = r1c1;
|
|
product->r1c2 = r1c2;
|
|
|
|
product->r2c1 = r2c1;
|
|
product->r2c2 = r2c2;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_multiply_by_matrix2x2(BGC_FP64_Matrix2x2* const product, const BGC_FP64_Matrix2x2* const matrix, const BGC_FP64_Matrix2x2* const matriy)
|
|
{
|
|
const double r1c1 = matrix->r1c1 * matriy->r1c1 + matrix->r1c2 * matriy->r2c1;
|
|
const double r1c2 = matrix->r1c1 * matriy->r1c2 + matrix->r1c2 * matriy->r2c2;
|
|
|
|
const double r2c1 = matrix->r2c1 * matriy->r1c1 + matrix->r2c2 * matriy->r2c1;
|
|
const double r2c2 = matrix->r2c1 * matriy->r1c2 + matrix->r2c2 * matriy->r2c2;
|
|
|
|
product->r1c1 = r1c1;
|
|
product->r1c2 = r1c2;
|
|
|
|
product->r2c1 = r2c1;
|
|
product->r2c2 = r2c2;
|
|
}
|
|
|
|
// ========== Matrix Product 2y at 3y ========= //
|
|
|
|
inline void bgc_fp32_matrix2x2_multiply_by_matrix3x2(BGC_FP32_Matrix3x2* const product, const BGC_FP32_Matrix2x2* const matrix, const BGC_FP32_Matrix3x2* const matriy)
|
|
{
|
|
const float r1c1 = matrix->r1c1 * matriy->r1c1 + matrix->r1c2 * matriy->r2c1;
|
|
const float r1c2 = matrix->r1c1 * matriy->r1c2 + matrix->r1c2 * matriy->r2c2;
|
|
const float r1c3 = matrix->r1c1 * matriy->r1c3 + matrix->r1c2 * matriy->r2c3;
|
|
|
|
const float r2c1 = matrix->r2c1 * matriy->r1c1 + matrix->r2c2 * matriy->r2c1;
|
|
const float r2c2 = matrix->r2c1 * matriy->r1c2 + matrix->r2c2 * matriy->r2c2;
|
|
const float r2c3 = matrix->r2c1 * matriy->r1c3 + matrix->r2c2 * matriy->r2c3;
|
|
|
|
product->r1c1 = r1c1;
|
|
product->r1c2 = r1c2;
|
|
product->r1c3 = r1c3;
|
|
|
|
product->r2c1 = r2c1;
|
|
product->r2c2 = r2c2;
|
|
product->r2c3 = r2c3;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_multiply_by_matrix3x2(BGC_FP64_Matrix3x2* const product, const BGC_FP64_Matrix2x2* const matrix, const BGC_FP64_Matrix3x2* const matriy)
|
|
{
|
|
const double r1c1 = matrix->r1c1 * matriy->r1c1 + matrix->r1c2 * matriy->r2c1;
|
|
const double r1c2 = matrix->r1c1 * matriy->r1c2 + matrix->r1c2 * matriy->r2c2;
|
|
const double r1c3 = matrix->r1c1 * matriy->r1c3 + matrix->r1c2 * matriy->r2c3;
|
|
|
|
const double r2c1 = matrix->r2c1 * matriy->r1c1 + matrix->r2c2 * matriy->r2c1;
|
|
const double r2c2 = matrix->r2c1 * matriy->r1c2 + matrix->r2c2 * matriy->r2c2;
|
|
const double r2c3 = matrix->r2c1 * matriy->r1c3 + matrix->r2c2 * matriy->r2c3;
|
|
|
|
product->r1c1 = r1c1;
|
|
product->r1c2 = r1c2;
|
|
product->r1c3 = r1c3;
|
|
|
|
product->r2c1 = r2c1;
|
|
product->r2c2 = r2c2;
|
|
product->r2c3 = r2c3;
|
|
}
|
|
|
|
// =================== Divide =================== //
|
|
|
|
inline int bgc_fp32_matrix2x2_divide_by_real_number(BGC_FP32_Matrix2x2* const quotient, const BGC_FP32_Matrix2x2* const dividend, const float divisor)
|
|
{
|
|
if (bgc_fp32_is_zero(divisor) || isnan(divisor)) {
|
|
return BGC_FAILURE;
|
|
}
|
|
|
|
bgc_fp32_matrix2x2_multiply_by_real_number(quotient, dividend, 1.0f / divisor);
|
|
return BGC_SUCCESS;
|
|
}
|
|
|
|
inline int bgc_fp64_matrix2x2_divide_by_real_number(BGC_FP64_Matrix2x2* const quotient, const BGC_FP64_Matrix2x2* const dividend, const double divisor)
|
|
{
|
|
if (bgc_fp64_is_zero(divisor) || isnan(divisor)) {
|
|
return BGC_FAILURE;
|
|
}
|
|
|
|
bgc_fp64_matrix2x2_multiply_by_real_number(quotient, dividend, 1.0 / divisor);
|
|
return BGC_SUCCESS;
|
|
}
|
|
|
|
// ================== Average2 ================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_get_mean2(BGC_FP32_Matrix2x2* const mean, const BGC_FP32_Matrix2x2* const term1, const BGC_FP32_Matrix2x2* const term2)
|
|
{
|
|
mean->r1c1 = (term1->r1c1 + term2->r1c1) * 0.5f;
|
|
mean->r1c2 = (term1->r1c2 + term2->r1c2) * 0.5f;
|
|
|
|
mean->r2c1 = (term1->r2c1 + term2->r2c1) * 0.5f;
|
|
mean->r2c2 = (term1->r2c2 + term2->r2c2) * 0.5f;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_get_mean2(BGC_FP64_Matrix2x2* const mean, const BGC_FP64_Matrix2x2* const term1, const BGC_FP64_Matrix2x2* const term2)
|
|
{
|
|
mean->r1c1 = (term1->r1c1 + term2->r1c1) * 0.5;
|
|
mean->r1c2 = (term1->r1c2 + term2->r1c2) * 0.5;
|
|
|
|
mean->r2c1 = (term1->r2c1 + term2->r2c1) * 0.5;
|
|
mean->r2c2 = (term1->r2c2 + term2->r2c2) * 0.5;
|
|
}
|
|
|
|
// ================== Average3 ================== //
|
|
|
|
inline void bgc_fp32_matrix2x2_get_mean3(BGC_FP32_Matrix2x2* const mean, const BGC_FP32_Matrix2x2* const term1, const BGC_FP32_Matrix2x2* const term2, const BGC_FP32_Matrix2x2* const term3)
|
|
{
|
|
mean->r1c1 = (term1->r1c1 + term2->r1c1 + term3->r1c1) * BGC_FP32_ONE_THIRD;
|
|
mean->r1c2 = (term1->r1c2 + term2->r1c2 + term3->r1c2) * BGC_FP32_ONE_THIRD;
|
|
|
|
mean->r2c1 = (term1->r2c1 + term2->r2c1 + term3->r2c1) * BGC_FP32_ONE_THIRD;
|
|
mean->r2c2 = (term1->r2c2 + term2->r2c2 + term3->r2c2) * BGC_FP32_ONE_THIRD;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_get_mean3(BGC_FP64_Matrix2x2* const mean, const BGC_FP64_Matrix2x2* const term1, const BGC_FP64_Matrix2x2* const term2, const BGC_FP64_Matrix2x2* const term3)
|
|
{
|
|
mean->r1c1 = (term1->r1c1 + term2->r1c1 + term3->r1c1) * BGC_FP64_ONE_THIRD;
|
|
mean->r1c2 = (term1->r1c2 + term2->r1c2 + term3->r1c2) * BGC_FP64_ONE_THIRD;
|
|
|
|
mean->r2c1 = (term1->r2c1 + term2->r2c1 + term3->r2c1) * BGC_FP64_ONE_THIRD;
|
|
mean->r2c2 = (term1->r2c2 + term2->r2c2 + term3->r2c2) * BGC_FP64_ONE_THIRD;
|
|
}
|
|
|
|
// ================ Interpolate ================= //
|
|
|
|
inline void bgc_fp32_matrix2x2_interpolate(BGC_FP32_Matrix2x2* const interpolation, const BGC_FP32_Matrix2x2* const first, const BGC_FP32_Matrix2x2* const second, const float phase)
|
|
{
|
|
const float counter_phase = 1.0f - phase;
|
|
|
|
interpolation->r1c1 = first->r1c1 * counter_phase + second->r1c1 * phase;
|
|
interpolation->r1c2 = first->r1c2 * counter_phase + second->r1c2 * phase;
|
|
|
|
interpolation->r2c1 = first->r2c1 * counter_phase + second->r2c1 * phase;
|
|
interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
|
|
}
|
|
|
|
inline void bgc_fp64_matrix2x2_interpolate(BGC_FP64_Matrix2x2* const interpolation, const BGC_FP64_Matrix2x2* const first, const BGC_FP64_Matrix2x2* const second, const double phase)
|
|
{
|
|
const double counter_phase = 1.0 - phase;
|
|
|
|
interpolation->r1c1 = first->r1c1 * counter_phase + second->r1c1 * phase;
|
|
interpolation->r1c2 = first->r1c2 * counter_phase + second->r1c2 * phase;
|
|
|
|
interpolation->r2c1 = first->r2c1 * counter_phase + second->r2c1 * phase;
|
|
interpolation->r2c2 = first->r2c2 * counter_phase + second->r2c2 * phase;
|
|
}
|
|
|
|
#endif
|