bgc-c/basic-geometry/matrix2x3.h

420 lines
12 KiB
C

#ifndef _BASIC_GEOMETRY_MATRIX2X3_H_
#define _BASIC_GEOMETRY_MATRIX2X3_H_
#include "vector2.h"
#include "vector3.h"
#include "matrixes.h"
// =================== Reset ==================== //
static inline void fp32_matrix2x3_reset(fp32_matrix2x3_t* matrix)
{
matrix->r1c1 = 0.0f;
matrix->r1c2 = 0.0f;
matrix->r2c1 = 0.0f;
matrix->r2c2 = 0.0f;
matrix->r3c1 = 0.0f;
matrix->r3c2 = 0.0f;
}
static inline void fp64_matrix2x3_reset(fp64_matrix2x3_t* matrix)
{
matrix->r1c1 = 0.0;
matrix->r1c2 = 0.0;
matrix->r2c1 = 0.0;
matrix->r2c2 = 0.0;
matrix->r3c1 = 0.0;
matrix->r3c2 = 0.0;
}
// ==================== Copy ==================== //
static inline void fp32_matrix2x3_copy(const fp32_matrix2x3_t* from, fp32_matrix2x3_t* to)
{
to->r1c1 = from->r1c1;
to->r1c2 = from->r1c2;
to->r2c1 = from->r2c1;
to->r2c2 = from->r2c2;
to->r3c1 = from->r3c1;
to->r3c2 = from->r3c2;
}
static inline void fp64_matrix2x3_copy(const fp64_matrix2x3_t* from, fp64_matrix2x3_t* to)
{
to->r1c1 = from->r1c1;
to->r1c2 = from->r1c2;
to->r2c1 = from->r2c1;
to->r2c2 = from->r2c2;
to->r3c1 = from->r3c1;
to->r3c2 = from->r3c2;
}
// ==================== Swap ==================== //
static inline void fp32_matrix2x3_swap(fp32_matrix2x3_t* matrix1, fp32_matrix2x3_t* matrix2)
{
const float r1c1 = matrix2->r1c1;
const float r1c2 = matrix2->r1c2;
const float r2c1 = matrix2->r2c1;
const float r2c2 = matrix2->r2c2;
const float r3c1 = matrix2->r3c1;
const float r3c2 = matrix2->r3c2;
matrix2->r1c1 = matrix1->r1c1;
matrix2->r1c2 = matrix1->r1c2;
matrix2->r2c1 = matrix1->r2c1;
matrix2->r2c2 = matrix1->r2c2;
matrix2->r3c1 = matrix1->r3c1;
matrix2->r3c2 = matrix1->r3c2;
matrix1->r1c1 = r1c1;
matrix1->r1c2 = r1c2;
matrix1->r2c1 = r2c1;
matrix1->r2c2 = r2c2;
matrix1->r3c1 = r3c1;
matrix1->r3c2 = r3c2;
}
static inline void fp64_matrix2x3_swap(fp64_matrix2x3_t* matrix1, fp64_matrix2x3_t* matrix2)
{
const double r1c1 = matrix2->r1c1;
const double r1c2 = matrix2->r1c2;
const double r2c1 = matrix2->r2c1;
const double r2c2 = matrix2->r2c2;
const double r3c1 = matrix2->r3c1;
const double r3c2 = matrix2->r3c2;
matrix2->r1c1 = matrix1->r1c1;
matrix2->r1c2 = matrix1->r1c2;
matrix2->r2c1 = matrix1->r2c1;
matrix2->r2c2 = matrix1->r2c2;
matrix2->r3c1 = matrix1->r3c1;
matrix2->r3c2 = matrix1->r3c2;
matrix1->r1c1 = r1c1;
matrix1->r1c2 = r1c2;
matrix1->r2c1 = r2c1;
matrix1->r2c2 = r2c2;
matrix1->r3c1 = r3c1;
matrix1->r3c2 = r3c2;
}
// ============= Copy to twin type ============== //
static inline void fp32_matrix2x3_set_from_fp64(const fp64_matrix2x3_t* from, fp32_matrix2x3_t* to)
{
to->r1c1 = (float) from->r1c1;
to->r1c2 = (float) from->r1c2;
to->r2c1 = (float) from->r2c1;
to->r2c2 = (float) from->r2c2;
to->r3c1 = (float) from->r3c1;
to->r3c2 = (float) from->r3c2;
}
static inline void fp64_matrix2x3_set_from_fp32(const fp32_matrix2x3_t* from, fp64_matrix2x3_t* to)
{
to->r1c1 = from->r1c1;
to->r1c2 = from->r1c2;
to->r2c1 = from->r2c1;
to->r2c2 = from->r2c2;
to->r3c1 = from->r3c1;
to->r3c2 = from->r3c2;
}
// =============== Set transposed =============== //
static inline void fp32_matrix2x3_set_transposed(const fp32_matrix3x2_t* from, fp32_matrix2x3_t* to)
{
to->r1c1 = from->r1c1;
to->r1c2 = from->r2c1;
to->r2c1 = from->r1c2;
to->r2c2 = from->r2c2;
to->r3c1 = from->r1c3;
to->r3c2 = from->r2c3;
}
static inline void fp64_matrix2x3_set_transposed(const fp64_matrix3x2_t* from, fp64_matrix2x3_t* to)
{
to->r1c1 = from->r1c1;
to->r1c2 = from->r2c1;
to->r2c1 = from->r1c2;
to->r2c2 = from->r2c2;
to->r3c1 = from->r1c3;
to->r3c2 = from->r2c3;
}
// =============== Set transposed =============== //
static inline void fp32_matrix2x3_set_transposed_fp64(const fp64_matrix3x2_t* from, fp32_matrix2x3_t* to)
{
to->r1c1 = (float) from->r1c1;
to->r1c2 = (float) from->r2c1;
to->r2c1 = (float) from->r1c2;
to->r2c2 = (float) from->r2c2;
to->r3c1 = (float) from->r1c3;
to->r3c2 = (float) from->r2c3;
}
static inline void fp64_matrix2x3_set_transposed_fp32(const fp32_matrix3x2_t* from, fp64_matrix2x3_t* to)
{
to->r1c1 = from->r1c1;
to->r1c2 = from->r2c1;
to->r2c1 = from->r1c2;
to->r2c2 = from->r2c2;
to->r3c1 = from->r1c3;
to->r3c2 = from->r2c3;
}
// ================= Set Row 1 ================== //
static inline void fp32_matrix2x3_set_row1(const float c1, const float c2, fp32_matrix2x3_t* matrix)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
}
static inline void fp64_matrix2x3_set_row1(const double c1, const double c2, fp64_matrix2x3_t* matrix)
{
matrix->r1c1 = c1;
matrix->r1c2 = c2;
}
// ================= Set Row 2 ================== //
static inline void fp32_matrix2x3_set_row2(const float c1, const float c2, fp32_matrix2x3_t* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
}
static inline void fp64_matrix2x3_set_row2(const double c1, const double c2, fp64_matrix2x3_t* matrix)
{
matrix->r2c1 = c1;
matrix->r2c2 = c2;
}
// ================= Set Row 3 ================== //
static inline void fp32_matrix2x3_set_row3(const float c1, const float c2, fp32_matrix2x3_t* matrix)
{
matrix->r3c1 = c1;
matrix->r3c2 = c2;
}
static inline void fp64_matrix2x3_set_row3(const double c1, const double c2, fp64_matrix2x3_t* matrix)
{
matrix->r3c1 = c1;
matrix->r3c2 = c2;
}
// ================ Set Column 1 ================ //
static inline void fp32_matrix2x3_set_column1(const float r1, const float r2, const float r3, fp32_matrix2x3_t* matrix)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
matrix->r3c1 = r3;
}
static inline void fp64_matrix2x3_set_column1(const double r1, const double r2, const double r3, fp64_matrix2x3_t* matrix)
{
matrix->r1c1 = r1;
matrix->r2c1 = r2;
matrix->r3c1 = r3;
}
// ================ Set Column 2 ================ //
static inline void fp32_matrix2x3_set_column2(const float r1, const float r2, const float r3, fp32_matrix2x3_t* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
matrix->r3c2 = r3;
}
static inline void fp64_matrix2x3_set_column2(const double r1, const double r2, const double r3, fp64_matrix2x3_t* matrix)
{
matrix->r1c2 = r1;
matrix->r2c2 = r2;
matrix->r3c2 = r3;
}
// ================ Append scaled =============== //
static inline void fp32_matrix2x3_append_scaled(fp32_matrix2x3_t* basic_vector, const fp32_matrix2x3_t* scalable_vector, const float scale)
{
basic_vector->r1c1 += scalable_vector->r1c1 * scale;
basic_vector->r1c2 += scalable_vector->r1c2 * scale;
basic_vector->r2c1 += scalable_vector->r2c1 * scale;
basic_vector->r2c2 += scalable_vector->r2c2 * scale;
basic_vector->r3c1 += scalable_vector->r3c1 * scale;
basic_vector->r3c2 += scalable_vector->r3c2 * scale;
}
static inline void fp64_matrix2x3_append_scaled(fp64_matrix2x3_t* basic_vector, const fp64_matrix2x3_t* scalable_vector, const double scale)
{
basic_vector->r1c1 += scalable_vector->r1c1 * scale;
basic_vector->r1c2 += scalable_vector->r1c2 * scale;
basic_vector->r2c1 += scalable_vector->r2c1 * scale;
basic_vector->r2c2 += scalable_vector->r2c2 * scale;
basic_vector->r3c1 += scalable_vector->r3c1 * scale;
basic_vector->r3c2 += scalable_vector->r3c2 * scale;
}
// ================== Addition ================== //
static inline void fp32_matrix2x3_add(const fp32_matrix2x3_t* matrix1, const fp32_matrix2x3_t* matrix2, fp32_matrix2x3_t* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
sum->r2c1 = matrix1->r2c1 + matrix2->r2c1;
sum->r2c2 = matrix1->r2c2 + matrix2->r2c2;
sum->r3c1 = matrix1->r3c1 + matrix2->r3c1;
sum->r3c2 = matrix1->r3c2 + matrix2->r3c2;
}
static inline void fp64_matrix2x3_add(const fp64_matrix2x3_t* matrix1, const fp64_matrix2x3_t* matrix2, fp64_matrix2x3_t* sum)
{
sum->r1c1 = matrix1->r1c1 + matrix2->r1c1;
sum->r1c2 = matrix1->r1c2 + matrix2->r1c2;
sum->r2c1 = matrix1->r2c1 + matrix2->r2c1;
sum->r2c2 = matrix1->r2c2 + matrix2->r2c2;
sum->r3c1 = matrix1->r3c1 + matrix2->r3c1;
sum->r3c2 = matrix1->r3c2 + matrix2->r3c2;
}
// ================ Subtraction ================= //
static inline void fp32_matrix2x3_subtract(const fp32_matrix2x3_t* minuend, const fp32_matrix2x3_t* subtrahend, fp32_matrix2x3_t* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
difference->r2c1 = minuend->r2c1 - subtrahend->r2c1;
difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
difference->r3c1 = minuend->r3c1 - subtrahend->r3c1;
difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
}
static inline void fp64_matrix2x3_subtract(const fp64_matrix2x3_t* minuend, const fp64_matrix2x3_t* subtrahend, fp64_matrix2x3_t* difference)
{
difference->r1c1 = minuend->r1c1 - subtrahend->r1c1;
difference->r1c2 = minuend->r1c2 - subtrahend->r1c2;
difference->r2c1 = minuend->r2c1 - subtrahend->r2c1;
difference->r2c2 = minuend->r2c2 - subtrahend->r2c2;
difference->r3c1 = minuend->r3c1 - subtrahend->r3c1;
difference->r3c2 = minuend->r3c2 - subtrahend->r3c2;
}
// =============== Multiplication =============== //
static inline void fp32_matrix2x3_multiply(const fp32_matrix2x3_t* multiplicand, const float multiplier, fp32_matrix2x3_t* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
product->r2c1 = multiplicand->r2c1 * multiplier;
product->r2c2 = multiplicand->r2c2 * multiplier;
product->r3c1 = multiplicand->r3c1 * multiplier;
product->r3c2 = multiplicand->r3c2 * multiplier;
}
static inline void fp64_matrix2x3_multiply(const fp64_matrix2x3_t* multiplicand, const double multiplier, fp64_matrix2x3_t* product)
{
product->r1c1 = multiplicand->r1c1 * multiplier;
product->r1c2 = multiplicand->r1c2 * multiplier;
product->r2c1 = multiplicand->r2c1 * multiplier;
product->r2c2 = multiplicand->r2c2 * multiplier;
product->r3c1 = multiplicand->r3c1 * multiplier;
product->r3c2 = multiplicand->r3c2 * multiplier;
}
// ================== Division ================== //
static inline void fp32_matrix2x3_divide(const fp32_matrix2x3_t* dividend, const float divisor, fp32_matrix2x3_t* quotient)
{
fp32_matrix2x3_multiply(dividend, 1.0f / divisor, quotient);
}
static inline void fp64_matrix2x3_divide(const fp64_matrix2x3_t* dividend, const double divisor, fp64_matrix2x3_t* quotient)
{
fp64_matrix2x3_multiply(dividend, 1.0 / divisor, quotient);
}
// ============ Left Vector Product ============= //
static inline void fp32_matrix2x3_left_product(const fp32_vector3_t* vector, const fp32_matrix2x3_t* matrix, fp32_vector2_t* result)
{
result->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
result->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
}
static inline void fp64_matrix2x3_left_product(const fp64_vector3_t* vector, const fp64_matrix2x3_t* matrix, fp64_vector2_t* result)
{
result->x1 = vector->x1 * matrix->r1c1 + vector->x2 * matrix->r2c1 + vector->x3 * matrix->r3c1;
result->x2 = vector->x1 * matrix->r1c2 + vector->x2 * matrix->r2c2 + vector->x3 * matrix->r3c2;
}
// ============ Right Vector Product ============ //
static inline void fp32_matrix2x3_right_product(const fp32_matrix2x3_t* matrix, const fp32_vector2_t* vector, fp32_vector3_t* result)
{
result->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
result->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
result->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
}
static inline void fp64_matrix2x3_right_product(const fp64_matrix2x3_t* matrix, const fp64_vector2_t* vector, fp64_vector3_t* result)
{
result->x1 = matrix->r1c1 * vector->x1 + matrix->r1c2 * vector->x2;
result->x2 = matrix->r2c1 * vector->x1 + matrix->r2c2 * vector->x2;
result->x3 = matrix->r3c1 * vector->x1 + matrix->r3c2 * vector->x2;
}
#endif