#ifndef _BGC_MATRIX3X2_H_INCLUDED_ #define _BGC_MATRIX3X2_H_INCLUDED_ #include "vector2.h" #include "vector3.h" #include "matrices.h" // =================== Reset ==================== // inline void bgc_fp32_matrix3x2_reset(BGC_FP32_Matrix3x2* matrix) { matrix->r1c1 = 0.0f; matrix->r1c2 = 0.0f; matrix->r1c3 = 0.0f; matrix->r2c1 = 0.0f; matrix->r2c2 = 0.0f; matrix->r2c3 = 0.0f; } inline void bgc_fp64_matrix3x2_reset(BGC_FP64_Matrix3x2* matrix) { matrix->r1c1 = 0.0; matrix->r1c2 = 0.0; matrix->r1c3 = 0.0; matrix->r2c1 = 0.0; matrix->r2c2 = 0.0; matrix->r2c3 = 0.0; } // ==================== Copy ==================== // inline void bgc_fp32_matrix3x2_copy(BGC_FP32_Matrix3x2* destination, const BGC_FP32_Matrix3x2* source) { destination->r1c1 = source->r1c1; destination->r1c2 = source->r1c2; destination->r1c3 = source->r1c3; destination->r2c1 = source->r2c1; destination->r2c2 = source->r2c2; destination->r2c3 = source->r2c3; } inline void bgc_fp64_matrix3x2_copy(BGC_FP64_Matrix3x2* destination, const BGC_FP64_Matrix3x2* source) { destination->r1c1 = source->r1c1; destination->r1c2 = source->r1c2; destination->r1c3 = source->r1c3; destination->r2c1 = source->r2c1; destination->r2c2 = source->r2c2; destination->r2c3 = source->r2c3; } // ==================== Swap ==================== // inline void bgc_fp32_matrix3x2_swap(BGC_FP32_Matrix3x2* matrix1, BGC_FP32_Matrix3x2* matrix2) { const float r1c1 = matrix2->r1c1; const float r1c2 = matrix2->r1c2; const float r1c3 = matrix2->r1c3; const float r2c1 = matrix2->r2c1; const float r2c2 = matrix2->r2c2; const float r2c3 = matrix2->r2c3; matrix2->r1c1 = matrix1->r1c1; matrix2->r1c2 = matrix1->r1c2; matrix2->r1c3 = matrix1->r1c3; matrix2->r2c1 = matrix1->r2c1; matrix2->r2c2 = matrix1->r2c2; matrix2->r2c3 = matrix1->r2c3; matrix1->r1c1 = r1c1; matrix1->r1c2 = r1c2; matrix1->r1c3 = r1c3; matrix1->r2c1 = r2c1; matrix1->r2c2 = r2c2; matrix1->r2c3 = r2c3; } inline void bgc_fp64_matrix3x2_swap(BGC_FP64_Matrix3x2* matrix1, BGC_FP64_Matrix3x2* matrix2) { const double r1c1 = matrix2->r1c1; const double r1c2 = matrix2->r1c2; const double r1c3 = matrix2->r1c3; const double r2c1 = matrix2->r2c1; const double r2c2 = matrix2->r2c2; const double r2c3 = matrix2->r2c3; matrix2->r1c1 = matrix1->r1c1; matrix2->r1c2 = matrix1->r1c2; matrix2->r1c3 = matrix1->r1c3; matrix2->r2c1 = matrix1->r2c1; matrix2->r2c2 = matrix1->r2c2; matrix2->r2c3 = matrix1->r2c3; matrix1->r1c1 = r1c1; matrix1->r1c2 = r1c2; matrix1->r1c3 = r1c3; matrix1->r2c1 = r2c1; matrix1->r2c2 = r2c2; matrix1->r2c3 = r2c3; } // ================== Convert =================== // inline void bgc_fp64_matrix3x2_convert_to_fp32(BGC_FP32_Matrix3x2* destination, const BGC_FP64_Matrix3x2* source) { destination->r1c1 = (float)source->r1c1; destination->r1c2 = (float)source->r1c2; destination->r1c3 = (float)source->r1c3; destination->r2c1 = (float)source->r2c1; destination->r2c2 = (float)source->r2c2; destination->r2c3 = (float)source->r2c3; } inline void bgc_fp32_matrix3x2_convert_to_fp64(BGC_FP64_Matrix3x2* destination, const BGC_FP32_Matrix3x2* source) { destination->r1c1 = source->r1c1; destination->r1c2 = source->r1c2; destination->r1c3 = source->r1c3; destination->r2c1 = source->r2c1; destination->r2c2 = source->r2c2; destination->r2c3 = source->r2c3; } // ================= Transpose ================== // inline void bgc_fp32_matrix3x2_get_transposed(BGC_FP32_Matrix3x2* transposed, const BGC_FP32_Matrix2x3* matrix) { transposed->r1c1 = matrix->r1c1; transposed->r1c2 = matrix->r2c1; transposed->r1c3 = matrix->r3c1; transposed->r2c1 = matrix->r1c2; transposed->r2c2 = matrix->r2c2; transposed->r2c3 = matrix->r3c2; } inline void bgc_fp64_matrix3x2_get_transposed(BGC_FP64_Matrix3x2* transposed, const BGC_FP64_Matrix2x3* matrix) { transposed->r1c1 = matrix->r1c1; transposed->r1c2 = matrix->r2c1; transposed->r1c3 = matrix->r3c1; transposed->r2c1 = matrix->r1c2; transposed->r2c2 = matrix->r2c2; transposed->r2c3 = matrix->r3c2; } // ================== Get Row =================== // inline void bgc_fp32_matrix3x2_get_row(BGC_FP32_Vector3* row, const BGC_FP32_Matrix3x2* matrix, const int row_number) { if (row_number == 1) { row->x1 = matrix->r1c1; row->x2 = matrix->r1c2; row->x3 = matrix->r1c3; return; } if (row_number == 2) { row->x1 = matrix->r2c1; row->x2 = matrix->r2c2; row->x3 = matrix->r2c3; return; } row->x1 = 0.0f; row->x2 = 0.0f; row->x3 = 0.0f; } inline void bgc_fp64_matrix3x2_get_row(BGC_FP64_Vector3* row, const BGC_FP64_Matrix3x2* matrix, const int row_number) { if (row_number == 1) { row->x1 = matrix->r1c1; row->x2 = matrix->r1c2; row->x3 = matrix->r1c3; return; } if (row_number == 2) { row->x1 = matrix->r2c1; row->x2 = matrix->r2c2; row->x3 = matrix->r2c3; return; } row->x1 = 0.0f; row->x2 = 0.0f; row->x3 = 0.0f; } // ================== Set Row =================== // inline void bgc_fp32_matrix3x2_set_row(BGC_FP32_Matrix3x2* matrix, const int row_number, const BGC_FP32_Vector3* row) { if (row_number == 1) { matrix->r1c1 = row->x1; matrix->r1c2 = row->x2; matrix->r1c3 = row->x3; return; } if (row_number == 2) { matrix->r2c1 = row->x1; matrix->r2c2 = row->x2; matrix->r2c3 = row->x3; } } inline void bgc_fp64_matrix3x2_set_row(BGC_FP64_Matrix3x2* matrix, const int row_number, const BGC_FP64_Vector3* row) { if (row_number == 1) { matrix->r1c1 = row->x1; matrix->r1c2 = row->x2; matrix->r1c3 = row->x3; return; } if (row_number == 2) { matrix->r2c1 = row->x1; matrix->r2c2 = row->x2; matrix->r2c3 = row->x3; } } // ================= Get Column ================= // inline void bgc_fp32_matrix3x2_get_column(BGC_FP32_Vector2* column, const BGC_FP32_Matrix3x2* matrix, const int column_number) { if (column_number == 1) { column->x1 = matrix->r1c1; column->x2 = matrix->r2c1; return; } if (column_number == 2) { column->x1 = matrix->r1c2; column->x2 = matrix->r2c2; return; } if (column_number == 3) { column->x1 = matrix->r1c3; column->x2 = matrix->r2c3; return; } column->x1 = 0.0f; column->x2 = 0.0f; } inline void bgc_fp64_matrix3x2_get_column(BGC_FP64_Vector2* column, const BGC_FP64_Matrix3x2* matrix, const int column_number) { if (column_number == 1) { column->x1 = matrix->r1c1; column->x2 = matrix->r2c1; return; } if (column_number == 2) { column->x1 = matrix->r1c2; column->x2 = matrix->r2c2; return; } if (column_number == 3) { column->x1 = matrix->r1c3; column->x2 = matrix->r2c3; return; } column->x1 = 0.0; column->x2 = 0.0; } // ================= Set Column ================= // inline void bgc_fp32_matrix3x2_set_column(BGC_FP32_Matrix3x2* matrix, const int column_number, const BGC_FP32_Vector2* column) { if (column_number == 1) { matrix->r1c1 = column->x1; matrix->r2c1 = column->x2; return; } if (column_number == 2) { matrix->r1c2 = column->x1; matrix->r2c2 = column->x2; return; } if (column_number == 3) { matrix->r1c3 = column->x1; matrix->r2c3 = column->x2; } } inline void bgc_fp64_matrix3x2_set_column(BGC_FP64_Matrix3x2* matrix, const int column_number, const BGC_FP64_Vector2* column) { if (column_number == 1) { matrix->r1c1 = column->x1; matrix->r2c1 = column->x2; return; } if (column_number == 2) { matrix->r1c2 = column->x1; matrix->r2c2 = column->x2; return; } if (column_number == 3) { matrix->r1c3 = column->x1; matrix->r2c3 = column->x2; } } // ==================== Add ===================== // inline void bgc_fp32_matrix3x2_add(BGC_FP32_Matrix3x2* sum, const BGC_FP32_Matrix3x2* matrix1, const BGC_FP32_Matrix3x2* matrix2) { sum->r1c1 = matrix1->r1c1 + matrix2->r1c1; sum->r1c2 = matrix1->r1c2 + matrix2->r1c2; sum->r1c3 = matrix1->r1c3 + matrix2->r1c3; sum->r2c1 = matrix1->r2c1 + matrix2->r2c1; sum->r2c2 = matrix1->r2c2 + matrix2->r2c2; sum->r2c3 = matrix1->r2c3 + matrix2->r2c3; } inline void bgc_fp64_matrix3x2_add(BGC_FP64_Matrix3x2* sum, const BGC_FP64_Matrix3x2* matrix1, const BGC_FP64_Matrix3x2* matrix2) { sum->r1c1 = matrix1->r1c1 + matrix2->r1c1; sum->r1c2 = matrix1->r1c2 + matrix2->r1c2; sum->r1c3 = matrix1->r1c3 + matrix2->r1c3; sum->r2c1 = matrix1->r2c1 + matrix2->r2c1; sum->r2c2 = matrix1->r2c2 + matrix2->r2c2; sum->r2c3 = matrix1->r2c3 + matrix2->r2c3; } // ================= Add scaled ================= // inline void bgc_fp32_matrix3x2_add_scaled(BGC_FP32_Matrix3x2* sum, const BGC_FP32_Matrix3x2* basic_matrix, const BGC_FP32_Matrix3x2* scalable_matrix, const float scale) { sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale; sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale; sum->r1c3 = basic_matrix->r1c3 + scalable_matrix->r1c3 * scale; sum->r2c1 = basic_matrix->r2c1 + scalable_matrix->r2c1 * scale; sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale; sum->r2c3 = basic_matrix->r2c3 + scalable_matrix->r2c3 * scale; } inline void bgc_fp64_matrix3x2_add_scaled(BGC_FP64_Matrix3x2* sum, const BGC_FP64_Matrix3x2* basic_matrix, const BGC_FP64_Matrix3x2* scalable_matrix, const double scale) { sum->r1c1 = basic_matrix->r1c1 + scalable_matrix->r1c1 * scale; sum->r1c2 = basic_matrix->r1c2 + scalable_matrix->r1c2 * scale; sum->r1c3 = basic_matrix->r1c3 + scalable_matrix->r1c3 * scale; sum->r2c1 = basic_matrix->r2c1 + scalable_matrix->r2c1 * scale; sum->r2c2 = basic_matrix->r2c2 + scalable_matrix->r2c2 * scale; sum->r2c3 = basic_matrix->r2c3 + scalable_matrix->r2c3 * scale; } // ================== Subtract ================== // inline void bgc_fp32_matrix3x2_subtract(BGC_FP32_Matrix3x2* difference, const BGC_FP32_Matrix3x2* minuend, const BGC_FP32_Matrix3x2* subtrahend) { difference->r1c1 = minuend->r1c1 - subtrahend->r1c1; difference->r1c2 = minuend->r1c2 - subtrahend->r1c2; difference->r1c3 = minuend->r1c3 - subtrahend->r1c3; difference->r2c1 = minuend->r2c1 - subtrahend->r2c1; difference->r2c2 = minuend->r2c2 - subtrahend->r2c2; difference->r2c3 = minuend->r2c3 - subtrahend->r2c3; } inline void bgc_fp64_matrix3x2_subtract(BGC_FP64_Matrix3x2* difference, const BGC_FP64_Matrix3x2* minuend, const BGC_FP64_Matrix3x2* subtrahend) { difference->r1c1 = minuend->r1c1 - subtrahend->r1c1; difference->r1c2 = minuend->r1c2 - subtrahend->r1c2; difference->r1c3 = minuend->r1c3 - subtrahend->r1c3; difference->r2c1 = minuend->r2c1 - subtrahend->r2c1; difference->r2c2 = minuend->r2c2 - subtrahend->r2c2; difference->r2c3 = minuend->r2c3 - subtrahend->r2c3; } // ================== Multiply ================== // inline void bgc_fp32_matrix3x2_multiply(BGC_FP32_Matrix3x2* product, const BGC_FP32_Matrix3x2* multiplicand, const float multiplier) { product->r1c1 = multiplicand->r1c1 * multiplier; product->r1c2 = multiplicand->r1c2 * multiplier; product->r1c3 = multiplicand->r1c3 * multiplier; product->r2c1 = multiplicand->r2c1 * multiplier; product->r2c2 = multiplicand->r2c2 * multiplier; product->r2c3 = multiplicand->r2c3 * multiplier; } inline void bgc_fp64_matrix3x2_multiply(BGC_FP64_Matrix3x2* product, const BGC_FP64_Matrix3x2* multiplicand, const double multiplier) { product->r1c1 = multiplicand->r1c1 * multiplier; product->r1c2 = multiplicand->r1c2 * multiplier; product->r1c3 = multiplicand->r1c3 * multiplier; product->r2c1 = multiplicand->r2c1 * multiplier; product->r2c2 = multiplicand->r2c2 * multiplier; product->r2c3 = multiplicand->r2c3 * multiplier; } // =================== Divide =================== // inline void bgc_fp32_matrix3x2_divide(BGC_FP32_Matrix3x2* quotient, const BGC_FP32_Matrix3x2* dividend, const float divisor) { bgc_fp32_matrix3x2_multiply(quotient, dividend, 1.0f / divisor); } inline void bgc_fp64_matrix3x2_divide(BGC_FP64_Matrix3x2* quotient, const BGC_FP64_Matrix3x2* dividend, const double divisor) { bgc_fp64_matrix3x2_multiply(quotient, dividend, 1.0 / divisor); } // ================ Interpolate ================= // inline void bgc_fp32_matrix3x2_interpolate(BGC_FP32_Matrix3x2* interpolation, const BGC_FP32_Matrix3x2* first, const BGC_FP32_Matrix3x2* second, const float phase) { const float couter_phase = 1.0f - phase; interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase; interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase; interpolation->r1c3 = first->r1c3 * couter_phase + second->r1c3 * phase; interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase; interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase; interpolation->r2c3 = first->r2c3 * couter_phase + second->r2c3 * phase; } inline void bgc_fp64_matrix3x2_interpolate(BGC_FP64_Matrix3x2* interpolation, const BGC_FP64_Matrix3x2* first, const BGC_FP64_Matrix3x2* second, const double phase) { const double couter_phase = 1.0 - phase; interpolation->r1c1 = first->r1c1 * couter_phase + second->r1c1 * phase; interpolation->r1c2 = first->r1c2 * couter_phase + second->r1c2 * phase; interpolation->r1c3 = first->r1c3 * couter_phase + second->r1c3 * phase; interpolation->r2c1 = first->r2c1 * couter_phase + second->r2c1 * phase; interpolation->r2c2 = first->r2c2 * couter_phase + second->r2c2 * phase; interpolation->r2c3 = first->r2c3 * couter_phase + second->r2c3 * phase; } // ============ Left Vector Product ============= // inline void bgc_fp32_multiply_vector2_by_matrix3x2(BGC_FP32_Vector3* product, const BGC_FP32_Vector2* vector, const BGC_FP32_Matrix3x2* matrix) { product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1; product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2; product->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3; } inline void bgc_fp64_multiply_vector2_by_matrix3x2(BGC_FP64_Vector3* product, const BGC_FP64_Vector2* vector, const BGC_FP64_Matrix3x2* matrix) { product->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1; product->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2; product->x3 = vector->x1 * matrix->r1c3 + vector->x2 * matrix->r2c3; } // ============ Right Vector Product ============ // inline void bgc_fp32_multiply_matrix3x2_by_vector3(BGC_FP32_Vector2* product, const BGC_FP32_Matrix3x2* matrix, const BGC_FP32_Vector3* vector) { product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3; product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3; } inline void bgc_fp64_multiply_matrix3x2_by_vector3(BGC_FP64_Vector2* product, const BGC_FP64_Matrix3x2* matrix, const BGC_FP64_Vector3* vector) { product->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2 + matrix->r1c3 * vector->x3; product->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2 + matrix->r2c3 * vector->x3; } #endif