510 lines
15 KiB
C
510 lines
15 KiB
C
#ifndef _BGC_MATRIX2X3_H_
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#define _BGC_MATRIX2X3_H_
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#include "vector2.h"
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#include "vector3.h"
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#include "matrices.h"
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// =================== Reset ==================== //
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inline void bgc_fp32_matrix2x3_reset(BGC_FP32_Matrix2x3* 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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matrix->r3c1 = 0.0f;
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matrix->r3c2 = 0.0f;
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}
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inline void bgc_fp64_matrix2x3_reset(BGC_FP64_Matrix2x3* 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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matrix->r3c1 = 0.0;
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matrix->r3c2 = 0.0;
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}
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// ==================== Copy ==================== //
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inline void bgc_fp32_matrix2x3_copy(BGC_FP32_Matrix2x3* destination, const BGC_FP32_Matrix2x3* 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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destination->r3c1 = source->r3c1;
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destination->r3c2 = source->r3c2;
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}
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inline void bgc_fp64_matrix2x3_copy(BGC_FP64_Matrix2x3* destination, const BGC_FP64_Matrix2x3* 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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destination->r3c1 = source->r3c1;
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destination->r3c2 = source->r3c2;
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}
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// ==================== Swap ==================== //
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inline void bgc_fp32_matrix2x3_swap(BGC_FP32_Matrix2x3* matrix1, BGC_FP32_Matrix2x3* matrix2)
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{
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const float r1c1 = matrix2->r1c1;
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const float r1c2 = matrix2->r1c2;
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const float r2c1 = matrix2->r2c1;
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const float r2c2 = matrix2->r2c2;
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const float r3c1 = matrix2->r3c1;
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const float r3c2 = matrix2->r3c2;
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matrix2->r1c1 = matrix1->r1c1;
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matrix2->r1c2 = matrix1->r1c2;
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matrix2->r2c1 = matrix1->r2c1;
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matrix2->r2c2 = matrix1->r2c2;
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matrix2->r3c1 = matrix1->r3c1;
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matrix2->r3c2 = matrix1->r3c2;
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matrix1->r1c1 = r1c1;
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matrix1->r1c2 = r1c2;
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matrix1->r2c1 = r2c1;
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matrix1->r2c2 = r2c2;
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matrix1->r3c1 = r3c1;
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matrix1->r3c2 = r3c2;
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}
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inline void bgc_fp64_matrix2x3_swap(BGC_FP64_Matrix2x3* matrix1, BGC_FP64_Matrix2x3* matrix2)
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{
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const double r1c1 = matrix2->r1c1;
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const double r1c2 = matrix2->r1c2;
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const double r2c1 = matrix2->r2c1;
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const double r2c2 = matrix2->r2c2;
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const double r3c1 = matrix2->r3c1;
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const double r3c2 = matrix2->r3c2;
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matrix2->r1c1 = matrix1->r1c1;
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matrix2->r1c2 = matrix1->r1c2;
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matrix2->r2c1 = matrix1->r2c1;
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matrix2->r2c2 = matrix1->r2c2;
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matrix2->r3c1 = matrix1->r3c1;
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matrix2->r3c2 = matrix1->r3c2;
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matrix1->r1c1 = r1c1;
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matrix1->r1c2 = r1c2;
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matrix1->r2c1 = r2c1;
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matrix1->r2c2 = r2c2;
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matrix1->r3c1 = r3c1;
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matrix1->r3c2 = r3c2;
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}
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// ================== Convert =================== //
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inline void bgc_fp64_matrix2x3_convert_to_fp32(BGC_FP32_Matrix2x3* destination, const BGC_FP64_Matrix2x3* 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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destination->r3c1 = (float)source->r3c1;
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destination->r3c2 = (float)source->r3c2;
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}
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inline void bgc_fp32_matrix2x3_convert_to_fp64(BGC_FP64_Matrix2x3* destination, const BGC_FP32_Matrix2x3* 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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destination->r3c1 = source->r3c1;
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destination->r3c2 = source->r3c2;
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}
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// ================= Transpose ================== //
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inline void bgc_fp32_matrix2x3_get_transposed(BGC_FP32_Matrix2x3* transposed, const BGC_FP32_Matrix3x2* matrix)
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{
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transposed->r1c1 = matrix->r1c1;
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transposed->r1c2 = matrix->r2c1;
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transposed->r2c1 = matrix->r1c2;
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transposed->r2c2 = matrix->r2c2;
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transposed->r3c1 = matrix->r1c3;
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transposed->r3c2 = matrix->r2c3;
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}
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inline void bgc_fp64_matrix2x3_get_transposed(BGC_FP64_Matrix2x3* transposed, const BGC_FP64_Matrix3x2* matrix)
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{
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transposed->r1c1 = matrix->r1c1;
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transposed->r1c2 = matrix->r2c1;
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transposed->r2c1 = matrix->r1c2;
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transposed->r2c2 = matrix->r2c2;
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transposed->r3c1 = matrix->r1c3;
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transposed->r3c2 = matrix->r2c3;
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}
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// ================== Get Row =================== //
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inline void bgc_fp32_matrix2x3_get_row(BGC_FP32_Vector2* row, const BGC_FP32_Matrix2x3* matrix, const int row_number)
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{
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if (row_number == 1) {
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row->x1 = matrix->r1c1;
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row->x2 = matrix->r1c2;
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return;
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}
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if (row_number == 2) {
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row->x1 = matrix->r2c1;
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row->x2 = matrix->r2c2;
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return;
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}
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if (row_number == 3) {
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row->x1 = matrix->r3c1;
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row->x2 = matrix->r3c2;
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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_matrix2x3_get_row(BGC_FP64_Vector2* row, const BGC_FP64_Matrix2x3* matrix, const int row_number)
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{
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if (row_number == 1) {
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row->x1 = matrix->r1c1;
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row->x2 = matrix->r1c2;
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return;
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}
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if (row_number == 2) {
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row->x1 = matrix->r2c1;
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row->x2 = matrix->r2c2;
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return;
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}
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if (row_number == 3) {
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row->x1 = matrix->r3c1;
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row->x2 = matrix->r3c2;
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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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// ================== Set Row =================== //
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inline void bgc_fp32_matrix2x3_set_row(BGC_FP32_Matrix2x3* 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->r1c1 = row->x1;
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matrix->r1c2 = row->x2;
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return;
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}
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if (row_number == 2) {
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matrix->r2c1 = row->x1;
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matrix->r2c2 = row->x2;
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return;
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}
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if (row_number == 3) {
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matrix->r3c1 = row->x1;
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matrix->r3c2 = row->x2;
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}
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}
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inline void bgc_fp64_matrix2x3_set_row(BGC_FP64_Matrix2x3* 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->r1c1 = row->x1;
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matrix->r1c2 = row->x2;
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return;
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}
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if (row_number == 2) {
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matrix->r2c1 = row->x1;
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matrix->r2c2 = row->x2;
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return;
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}
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if (row_number == 3) {
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matrix->r3c1 = row->x1;
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matrix->r3c2 = row->x2;
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}
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}
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// ================= Get Column ================= //
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inline void bgc_fp32_matrix2x3_get_column(BGC_FP32_Vector3* column, const BGC_FP32_Matrix2x3* matrix, const int column_number)
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{
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if (column_number == 1) {
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column->x1 = matrix->r1c1;
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column->x2 = matrix->r2c1;
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column->x3 = matrix->r3c1;
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return;
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}
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if (column_number == 2) {
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column->x1 = matrix->r1c2;
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column->x2 = matrix->r2c2;
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column->x3 = matrix->r3c2;
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}
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}
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inline void bgc_fp64_matrix2x3_get_column(BGC_FP64_Vector3* column, const BGC_FP64_Matrix2x3* matrix, const int column_number)
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{
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if (column_number == 1) {
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column->x1 = matrix->r1c1;
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column->x2 = matrix->r2c1;
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column->x3 = matrix->r3c1;
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return;
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}
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if (column_number == 2) {
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column->x1 = matrix->r1c2;
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column->x2 = matrix->r2c2;
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column->x3 = matrix->r3c2;
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}
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}
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// ================= Set Column ================= //
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inline void bgc_fp32_matrix2x3_set_column(BGC_FP32_Matrix2x3* matrix, const int column_number, const BGC_FP32_Vector3* column)
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{
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if (column_number == 1) {
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matrix->r1c1 = column->x1;
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matrix->r2c1 = column->x2;
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matrix->r3c1 = column->x3;
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return;
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}
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if (column_number == 2) {
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matrix->r1c2 = column->x1;
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matrix->r2c2 = column->x2;
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matrix->r3c2 = column->x3;
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}
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}
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inline void bgc_fp64_matrix2x3_set_column(BGC_FP64_Matrix2x3* matrix, const int column_number, const BGC_FP64_Vector3* column)
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{
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if (column_number == 1) {
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matrix->r1c1 = column->x1;
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matrix->r2c1 = column->x2;
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matrix->r3c1 = column->x3;
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return;
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}
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if (column_number == 2) {
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matrix->r1c2 = column->x1;
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matrix->r2c2 = column->x2;
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matrix->r3c2 = column->x3;
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}
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}
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// ==================== Add ===================== //
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inline void bgc_fp32_matrix2x3_add(BGC_FP32_Matrix2x3* sum, const BGC_FP32_Matrix2x3* matrix1, const BGC_FP32_Matrix2x3* matrix2)
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{
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sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
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sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
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sum->r2c1 = matrix1->r2c1 + matrix2->r2c1;
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sum->r2c2 = matrix1->r2c2 + matrix2->r2c2;
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sum->r3c1 = matrix1->r3c1 + matrix2->r3c1;
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sum->r3c2 = matrix1->r3c2 + matrix2->r3c2;
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}
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inline void bgc_fp64_matrix2x3_add(BGC_FP64_Matrix2x3* sum, const BGC_FP64_Matrix2x3* matrix1, const BGC_FP64_Matrix2x3* matrix2)
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{
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sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
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sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
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sum->r2c1 = matrix1->r2c1 + matrix2->r2c1;
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sum->r2c2 = matrix1->r2c2 + matrix2->r2c2;
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sum->r3c1 = matrix1->r3c1 + matrix2->r3c1;
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sum->r3c2 = matrix1->r3c2 + matrix2->r3c2;
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}
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// ================= Add scaled ================= //
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inline void bgc_fp32_matrix2x3_add_scaled(BGC_FP32_Matrix2x3* sum, const BGC_FP32_Matrix2x3* basic_matrix, const BGC_FP32_Matrix2x3* scalable_matrix, const float scale)
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{
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sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
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sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
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sum->r2c1 = basic_matrix->r2c1 + scalable_matrix->r2c1 * scale;
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sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale;
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sum->r3c1 = basic_matrix->r3c1 + scalable_matrix->r3c1 * scale;
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sum->r3c2 = basic_matrix->r3c2 + scalable_matrix->r3c2 * scale;
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}
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inline void bgc_fp64_matrix2x3_add_scaled(BGC_FP64_Matrix2x3* sum, const BGC_FP64_Matrix2x3* basic_matrix, const BGC_FP64_Matrix2x3* scalable_matrix, const double scale)
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{
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sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale;
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sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale;
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sum->r2c1 = basic_matrix->r2c1 + scalable_matrix->r2c1 * scale;
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sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale;
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sum->r3c1 = basic_matrix->r3c1 + scalable_matrix->r3c1 * scale;
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sum->r3c2 = basic_matrix->r3c2 + scalable_matrix->r3c2 * scale;
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}
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// ================== Subtract ================== //
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inline void bgc_fp32_matrix2x3_subtract(BGC_FP32_Matrix2x3* difference, const BGC_FP32_Matrix2x3* minuend, const BGC_FP32_Matrix2x3* subtrahend)
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{
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difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
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difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
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difference->r2c1 = minuend->r2c1 - subtrahend->r2c1;
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difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
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difference->r3c1 = minuend->r3c1 - subtrahend->r3c1;
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difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
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}
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inline void bgc_fp64_matrix2x3_subtract(BGC_FP64_Matrix2x3* difference, const BGC_FP64_Matrix2x3* minuend, const BGC_FP64_Matrix2x3* subtrahend)
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{
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difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
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difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
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difference->r2c1 = minuend->r2c1 - subtrahend->r2c1;
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difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
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difference->r3c1 = minuend->r3c1 - subtrahend->r3c1;
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difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
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}
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// ================== Multiply ================== //
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inline void bgc_fp32_matrix2x3_multiply(BGC_FP32_Matrix2x3* product, const BGC_FP32_Matrix2x3* multiplicand, const float multiplier)
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{
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product->r1c1 = multiplicand->r1c1 * multiplier;
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product->r1c2 = multiplicand->r1c2 * multiplier;
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product->r2c1 = multiplicand->r2c1 * multiplier;
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product->r2c2 = multiplicand->r2c2 * multiplier;
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product->r3c1 = multiplicand->r3c1 * multiplier;
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product->r3c2 = multiplicand->r3c2 * multiplier;
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}
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inline void bgc_fp64_matrix2x3_multiply(BGC_FP64_Matrix2x3* product, const BGC_FP64_Matrix2x3* multiplicand, const double multiplier)
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{
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product->r1c1 = multiplicand->r1c1 * multiplier;
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product->r1c2 = multiplicand->r1c2 * multiplier;
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product->r2c1 = multiplicand->r2c1 * multiplier;
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product->r2c2 = multiplicand->r2c2 * multiplier;
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product->r3c1 = multiplicand->r3c1 * multiplier;
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product->r3c2 = multiplicand->r3c2 * multiplier;
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}
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// =================== Divide =================== //
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inline void bgc_fp32_matrix2x3_divide(BGC_FP32_Matrix2x3* quotient, const BGC_FP32_Matrix2x3* dividend, const float divisor)
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{
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bgc_fp32_matrix2x3_multiply(quotient, dividend, 1.0f / divisor);
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}
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inline void bgc_fp64_matrix2x3_divide(BGC_FP64_Matrix2x3* quotient, const BGC_FP64_Matrix2x3* dividend, const double divisor)
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{
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bgc_fp64_matrix2x3_multiply(quotient, dividend, 1.0 / divisor);
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}
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// ================ Interpolate ================= //
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inline void bgc_fp32_matrix2x3_interpolate(BGC_FP32_Matrix2x3* interpolation, const BGC_FP32_Matrix2x3* first, const BGC_FP32_Matrix2x3* second, const float phase)
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{
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const float couter_phase = 1.0f - phase;
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interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase;
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interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase;
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interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase;
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interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase;
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interpolation->r3c1 = first->r3c1 * couter_phase + second->r3c1 * phase;
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interpolation->r3c2 = first->r3c2 * couter_phase + second->r3c2 * phase;
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}
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inline void bgc_fp64_matrix2x3_interpolate(BGC_FP64_Matrix2x3* interpolation, const BGC_FP64_Matrix2x3* first, const BGC_FP64_Matrix2x3* second, const double phase)
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{
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const double couter_phase = 1.0 - phase;
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interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase;
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interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase;
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interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase;
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interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase;
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interpolation->r3c1 = first->r3c1 * couter_phase + second->r3c1 * phase;
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interpolation->r3c2 = first->r3c2 * couter_phase + second->r3c2 * phase;
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}
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// ============ Left Vector Product ============= //
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inline void bgc_fp32_multiply_vector3_by_matrix2x3(BGC_FP32_Vector2* product, const BGC_FP32_Vector3* vector, const BGC_FP32_Matrix2x3* matrix)
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{
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product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
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product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
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}
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inline void bgc_fp64_multiply_vector3_by_matrix2x3(BGC_FP64_Vector2* product, const BGC_FP64_Vector3* vector, const BGC_FP64_Matrix2x3* matrix)
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{
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product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
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product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
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}
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// ============ Right Vector Product ============ //
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inline void bgc_fp32_multiply_matrix2x3_by_vector2(BGC_FP32_Vector3* product, const BGC_FP32_Matrix2x3* matrix, const BGC_FP32_Vector2* vector)
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{
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product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
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product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
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product->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
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}
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inline void bgc_fp64_multiply_matrix2x3_by_vector2(BGC_FP64_Vector3* product, const BGC_FP64_Matrix2x3* matrix, const BGC_FP64_Vector2* vector)
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{
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product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
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product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
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product->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
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}
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#endif
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