Отказ от функций getWeightedSum в пользу appendScaled; оптимизация версоров / Replacing of getWeightedSum onto appendScaled; versor optimization

This commit is contained in:
Andrey Pokidov 2024-11-20 01:21:40 +07:00
parent 7bd9c07f17
commit e354b2425c
13 changed files with 331 additions and 835 deletions

View file

@ -345,6 +345,26 @@ static inline void dp_matrix2x2_set_column2(const double r1, const double r2, DP
matrix->r2c2 = r2;
}
// ================ Append scaled =============== //
static inline void sp_matrix2x2_append_scaled(SPMatrix2x2* basic_vector, const SPMatrix2x2* 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;
}
static inline void dp_matrix2x2_append_scaled(DPMatrix2x2* basic_vector, const DPMatrix2x2* 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;
}
// ================== Addition ================== //
static inline void sp_matrix2x2_add(const SPMatrix2x2* matrix1, const SPMatrix2x2* matrix2, SPMatrix2x2* sum)
@ -425,130 +445,6 @@ static inline void dp_matrix2x2_divide(const DPMatrix2x2* dividend, const double
quotient->r2c2 = dividend->r2c2 / divisor;
}
// ============= Weighed Sum of two ============= //
static inline void sp_matrix2x2_get_weighted_sum2(
const float weight1, const SPMatrix2x2* matrix1,
const float weight2, const SPMatrix2x2* matrix2,
SPMatrix2x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
}
static inline void dp_matrix2x2_get_weighted_sum2(
const double weight1, const DPMatrix2x2* matrix1,
const double weight2, const DPMatrix2x2* matrix2,
DPMatrix2x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
}
// ============ Weighed Sum of three ============ //
static inline void sp_matrix2x2_get_weighted_sum3(
const float weight1, const SPMatrix2x2* matrix1,
const float weight2, const SPMatrix2x2* matrix2,
const float weight3, const SPMatrix2x2* matrix3,
SPMatrix2x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
}
static inline void dp_matrix2x2_get_weighted_sum3(
const double weight1, const DPMatrix2x2* matrix1,
const double weight2, const DPMatrix2x2* matrix2,
const double weight3, const DPMatrix2x2* matrix3,
DPMatrix2x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
}
// ============ Weighed Sum of four ============= //
static inline void sp_matrix2x2_get_weighted_sum4(
const float weight1, const SPMatrix2x2* matrix1,
const float weight2, const SPMatrix2x2* matrix2,
const float weight3, const SPMatrix2x2* matrix3,
const float weight4, const SPMatrix2x2* matrix4,
SPMatrix2x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
}
static inline void dp_matrix2x2_get_weighted_sum4(
const double weight1, const DPMatrix2x2* matrix1,
const double weight2, const DPMatrix2x2* matrix2,
const double weight3, const DPMatrix2x2* matrix3,
const double weight4, const DPMatrix2x2* matrix4,
DPMatrix2x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
}
// ============ Weighed Sum of five ============= //
static inline void sp_matrix2x2_get_weighted_sum5(
const float weight1, const SPMatrix2x2* matrix1,
const float weight2, const SPMatrix2x2* matrix2,
const float weight3, const SPMatrix2x2* matrix3,
const float weight4, const SPMatrix2x2* matrix4,
const float weight5, const SPMatrix2x2* matrix5,
SPMatrix2x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
}
static inline void dp_matrix2x2_get_weighted_sum5(
const double weight1, const DPMatrix2x2* matrix1,
const double weight2, const DPMatrix2x2* matrix2,
const double weight3, const DPMatrix2x2* matrix3,
const double weight4, const DPMatrix2x2* matrix4,
const double weight5, const DPMatrix2x2* matrix5,
DPMatrix2x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
}
// ============ Left Vector Product ============= //
static inline void sp_matrix2x2_left_product(const SPVector2* vector, const SPMatrix2x2* matrix, SPVector2* result)

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@ -1,149 +1,2 @@
#include "matrix2x3.h"
// ============= Weighed Sum of two ============= //
void sp_matrix2x3_get_weighted_sum2(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
SPMatrix2x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2;
}
void dp_matrix2x3_get_weighted_sum2(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
DPMatrix2x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2;
}
// ============ Weighed Sum of three ============ //
void sp_matrix2x3_get_weighted_sum3(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
const float weight3, const SPMatrix2x3* matrix3,
SPMatrix2x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2 + matrix3->r3c1 * weight3;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2 + matrix3->r3c2 * weight3;
}
void dp_matrix2x3_get_weighted_sum3(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
const double weight3, const DPMatrix2x3* matrix3,
DPMatrix2x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2 + matrix3->r3c1 * weight3;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2 + matrix3->r3c2 * weight3;
}
// ============ Weighed Sum of four ============= //
void sp_matrix2x3_get_weighted_sum4(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
const float weight3, const SPMatrix2x3* matrix3,
const float weight4, const SPMatrix2x3* matrix4,
SPMatrix2x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4);
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4);
}
void dp_matrix2x3_get_weighted_sum4(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
const double weight3, const DPMatrix2x3* matrix3,
const double weight4, const DPMatrix2x3* matrix4,
DPMatrix2x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4);
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4);
}
// ============ Weighed Sum of five ============= //
void sp_matrix2x3_get_weighted_sum5(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
const float weight3, const SPMatrix2x3* matrix3,
const float weight4, const SPMatrix2x3* matrix4,
const float weight5, const SPMatrix2x3* matrix5,
SPMatrix2x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4) + matrix5->r3c1 * weight5;
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4) + matrix5->r3c2 * weight5;
}
void dp_matrix2x3_get_weighted_sum5(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
const double weight3, const DPMatrix2x3* matrix3,
const double weight4, const DPMatrix2x3* matrix4,
const double weight5, const DPMatrix2x3* matrix5,
DPMatrix2x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4) + matrix5->r3c1 * weight5;
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4) + matrix5->r3c2 * weight5;
}

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@ -209,6 +209,32 @@ static inline void dp_matrix2x3_set_column2(const double r1, const double r2, co
matrix->r3c2 = r3;
}
// ================ Append scaled =============== //
static inline void sp_matrix2x3_append_scaled(SPMatrix2x3* basic_vector, const SPMatrix2x3* 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 dp_matrix2x3_append_scaled(DPMatrix2x3* basic_vector, const DPMatrix2x3* 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 sp_matrix2x3_add(const SPMatrix2x3* matrix1, const SPMatrix2x3* matrix2, SPMatrix2x3* sum)
@ -313,74 +339,6 @@ static inline void dp_matrix2x3_divide(const DPMatrix2x3* dividend, const double
quotient->r3c2 = dividend->r3c2 / divisor;
}
// ============= Weighed Sum of two ============= //
void sp_matrix2x3_get_weighted_sum2(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
SPMatrix2x3* sum
);
void dp_matrix2x3_get_weighted_sum2(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
DPMatrix2x3* sum
);
// ============ Weighed Sum of three ============ //
void sp_matrix2x3_get_weighted_sum3(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
const float weight3, const SPMatrix2x3* matrix3,
SPMatrix2x3* sum
);
void dp_matrix2x3_get_weighted_sum3(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
const double weight3, const DPMatrix2x3* matrix3,
DPMatrix2x3* sum
);
// ============ Weighed Sum of four ============= //
void sp_matrix2x3_get_weighted_sum4(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
const float weight3, const SPMatrix2x3* matrix3,
const float weight4, const SPMatrix2x3* matrix4,
SPMatrix2x3* sum
);
void dp_matrix2x3_get_weighted_sum4(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
const double weight3, const DPMatrix2x3* matrix3,
const double weight4, const DPMatrix2x3* matrix4,
DPMatrix2x3* sum
);
// ============ Weighed Sum of five ============= //
void sp_matrix2x3_get_weighted_sum5(
const float weight1, const SPMatrix2x3* matrix1,
const float weight2, const SPMatrix2x3* matrix2,
const float weight3, const SPMatrix2x3* matrix3,
const float weight4, const SPMatrix2x3* matrix4,
const float weight5, const SPMatrix2x3* matrix5,
SPMatrix2x3* sum
);
void dp_matrix2x3_get_weighted_sum5(
const double weight1, const DPMatrix2x3* matrix1,
const double weight2, const DPMatrix2x3* matrix2,
const double weight3, const DPMatrix2x3* matrix3,
const double weight4, const DPMatrix2x3* matrix4,
const double weight5, const DPMatrix2x3* matrix5,
DPMatrix2x3* sum
);
// ============ Left Vector Product ============= //
static inline void sp_matrix2x3_left_product(const SPVector3* vector, const SPMatrix2x3* matrix, SPVector2* result)

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@ -1,141 +1,2 @@
#include "matrix3x2.h"
// ============= Weighed Sum of two ============= //
void sp_matrix3x2_get_weighted_sum2(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
SPMatrix3x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2;
}
void dp_matrix3x2_get_weighted_sum2(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
DPMatrix3x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2;
}
// ============ Weighed Sum of three ============ //
void sp_matrix3x2_get_weighted_sum3(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
const float weight3, const SPMatrix3x2* matrix3,
SPMatrix3x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2 + matrix3->r1c3 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2 + matrix3->r2c3 * weight3;
}
void dp_matrix3x2_get_weighted_sum3(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
const double weight3, const DPMatrix3x2* matrix3,
DPMatrix3x2* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2 + matrix3->r1c3 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2 + matrix3->r2c3 * weight3;
}
// ============ Weighed Sum of four ============= //
void sp_matrix3x2_get_weighted_sum4(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
const float weight3, const SPMatrix3x2* matrix3,
const float weight4, const SPMatrix3x2* matrix4,
SPMatrix3x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4);
}
void dp_matrix3x2_get_weighted_sum4(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
const double weight3, const DPMatrix3x2* matrix3,
const double weight4, const DPMatrix3x2* matrix4,
DPMatrix3x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4);
}
// ============ Weighed Sum of five ============= //
void sp_matrix3x2_get_weighted_sum5(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
const float weight3, const SPMatrix3x2* matrix3,
const float weight4, const SPMatrix3x2* matrix4,
const float weight5, const SPMatrix3x2* matrix5,
SPMatrix3x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4) + matrix5->r1c3 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4) + matrix5->r2c3 * weight5;
}
void dp_matrix3x2_get_weighted_sum5(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
const double weight3, const DPMatrix3x2* matrix3,
const double weight4, const DPMatrix3x2* matrix4,
const double weight5, const DPMatrix3x2* matrix5,
DPMatrix3x2* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4) + matrix5->r1c3 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4) + matrix5->r2c3 * weight5;
}

View file

@ -175,6 +175,30 @@ static inline void dp_matrix3x2_set_column3(const double r1, const double r2, DP
matrix->r2c3 = r2;
}
// ================ Append scaled =============== //
static inline void sp_matrix3x2_append_scaled(SPMatrix3x2* basic_vector, const SPMatrix3x2* scalable_vector, const float scale)
{
basic_vector->r1c1 += scalable_vector->r1c1 * scale;
basic_vector->r1c2 += scalable_vector->r1c2 * scale;
basic_vector->r1c3 += scalable_vector->r1c3 * scale;
basic_vector->r2c1 += scalable_vector->r2c1 * scale;
basic_vector->r2c2 += scalable_vector->r2c2 * scale;
basic_vector->r2c3 += scalable_vector->r2c3 * scale;
}
static inline void dp_matrix3x2_append_scaled(DPMatrix3x2* basic_vector, const DPMatrix3x2* scalable_vector, const double scale)
{
basic_vector->r1c1 += scalable_vector->r1c1 * scale;
basic_vector->r1c2 += scalable_vector->r1c2 * scale;
basic_vector->r1c3 += scalable_vector->r1c3 * scale;
basic_vector->r2c1 += scalable_vector->r2c1 * scale;
basic_vector->r2c2 += scalable_vector->r2c2 * scale;
basic_vector->r2c3 += scalable_vector->r2c3 * scale;
}
// ================== Addition ================== //
static inline void sp_matrix3x2_add(const SPMatrix3x2* matrix1, const SPMatrix3x2* matrix2, SPMatrix3x2* sum)
@ -271,74 +295,6 @@ static inline void dp_matrix3x2_divide(const DPMatrix3x2* dividend, const double
quotient->r2c3 = dividend->r2c3 / divisor;
}
// ============= Weighed Sum of two ============= //
void sp_matrix3x2_get_weighted_sum2(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
SPMatrix3x2* sum
);
void dp_matrix3x2_get_weighted_sum2(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
DPMatrix3x2* sum
);
// ============ Weighed Sum of three ============ //
void sp_matrix3x2_get_weighted_sum3(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
const float weight3, const SPMatrix3x2* matrix3,
SPMatrix3x2* sum
);
void dp_matrix3x2_get_weighted_sum3(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
const double weight3, const DPMatrix3x2* matrix3,
DPMatrix3x2* sum
);
// ============ Weighed Sum of four ============= //
void sp_matrix3x2_get_weighted_sum4(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
const float weight3, const SPMatrix3x2* matrix3,
const float weight4, const SPMatrix3x2* matrix4,
SPMatrix3x2* sum
);
void dp_matrix3x2_get_weighted_sum4(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
const double weight3, const DPMatrix3x2* matrix3,
const double weight4, const DPMatrix3x2* matrix4,
DPMatrix3x2* sum
);
// ============ Weighed Sum of five ============= //
void sp_matrix3x2_get_weighted_sum5(
const float weight1, const SPMatrix3x2* matrix1,
const float weight2, const SPMatrix3x2* matrix2,
const float weight3, const SPMatrix3x2* matrix3,
const float weight4, const SPMatrix3x2* matrix4,
const float weight5, const SPMatrix3x2* matrix5,
SPMatrix3x2* sum
);
void dp_matrix3x2_get_weighted_sum5(
const double weight1, const DPMatrix3x2* matrix1,
const double weight2, const DPMatrix3x2* matrix2,
const double weight3, const DPMatrix3x2* matrix3,
const double weight4, const DPMatrix3x2* matrix4,
const double weight5, const DPMatrix3x2* matrix5,
DPMatrix3x2* sum
);
// ============ Left Vector Product ============= //
static inline void sp_matrix3x2_left_product(const SPVector2* vector, const SPMatrix3x2* matrix, SPVector3* result)

View file

@ -74,7 +74,7 @@ int dp_matrix3x3_invert(DPMatrix3x3* matrix)
// ================ Make Inverted =============== //
int sp_matrix3x3_make_inverted(const SPMatrix3x3* matrix, SPMatrix3x3* result)
int sp_matrix3x3_set_inverted(const SPMatrix3x3* matrix, SPMatrix3x3* result)
{
const float determinant = sp_matrix3x3_get_determinant(matrix);
@ -109,7 +109,7 @@ int sp_matrix3x3_make_inverted(const SPMatrix3x3* matrix, SPMatrix3x3* result)
return 1;
}
int dp_matrix3x3_make_inverted(const DPMatrix3x3* matrix, DPMatrix3x3* result)
int dp_matrix3x3_set_inverted(const DPMatrix3x3* matrix, DPMatrix3x3* result)
{
const double determinant = dp_matrix3x3_get_determinant(matrix);
@ -143,175 +143,3 @@ int dp_matrix3x3_make_inverted(const DPMatrix3x3* matrix, DPMatrix3x3* result)
return 1;
}
// ============= Weighed Sum of two ============= //
void sp_matrix3x3_get_weighted_sum2(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
SPMatrix3x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2;
sum->r3c3 = matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2;
}
void dp_matrix3x3_get_weighted_sum2(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
DPMatrix3x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2;
sum->r3c3 = matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2;
}
// ============ Weighed Sum of three ============ //
void sp_matrix3x3_get_weighted_sum3(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
const float weight3, const SPMatrix3x3* matrix3,
SPMatrix3x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2 + matrix3->r1c3 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2 + matrix3->r2c3 * weight3;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2 + matrix3->r3c1 * weight3;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2 + matrix3->r3c2 * weight3;
sum->r3c3 = matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2 + matrix3->r3c3 * weight3;
}
void dp_matrix3x3_get_weighted_sum3(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
const double weight3, const DPMatrix3x3* matrix3,
DPMatrix3x3* sum
)
{
sum->r1c1 = matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2 + matrix3->r1c1 * weight3;
sum->r1c2 = matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2 + matrix3->r1c2 * weight3;
sum->r1c3 = matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2 + matrix3->r1c3 * weight3;
sum->r2c1 = matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2 + matrix3->r2c1 * weight3;
sum->r2c2 = matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2 + matrix3->r2c2 * weight3;
sum->r2c3 = matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2 + matrix3->r2c3 * weight3;
sum->r3c1 = matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2 + matrix3->r3c1 * weight3;
sum->r3c2 = matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2 + matrix3->r3c2 * weight3;
sum->r3c3 = matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2 + matrix3->r3c3 * weight3;
}
// ============ Weighed Sum of four ============= //
void sp_matrix3x3_get_weighted_sum4(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
const float weight3, const SPMatrix3x3* matrix3,
const float weight4, const SPMatrix3x3* matrix4,
SPMatrix3x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4);
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4);
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4);
sum->r3c3 = (matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2) + (matrix3->r3c3 * weight3 + matrix4->r3c3 * weight4);
}
void dp_matrix3x3_get_weighted_sum4(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
const double weight3, const DPMatrix3x3* matrix3,
const double weight4, const DPMatrix3x3* matrix4,
DPMatrix3x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4);
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4);
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4);
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4);
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4);
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4);
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4);
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4);
sum->r3c3 = (matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2) + (matrix3->r3c3 * weight3 + matrix4->r3c3 * weight4);
}
// ============ Weighed Sum of five ============= //
void sp_matrix3x3_get_weighted_sum5(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
const float weight3, const SPMatrix3x3* matrix3,
const float weight4, const SPMatrix3x3* matrix4,
const float weight5, const SPMatrix3x3* matrix5,
SPMatrix3x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4) + matrix5->r1c3 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4) + matrix5->r2c3 * weight5;
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4) + matrix5->r3c1 * weight5;
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4) + matrix5->r3c2 * weight5;
sum->r3c3 = (matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2) + (matrix3->r3c3 * weight3 + matrix4->r3c3 * weight4) + matrix5->r3c3 * weight5;
}
void dp_matrix3x3_get_weighted_sum5(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
const double weight3, const DPMatrix3x3* matrix3,
const double weight4, const DPMatrix3x3* matrix4,
const double weight5, const DPMatrix3x3* matrix5,
DPMatrix3x3* sum
)
{
sum->r1c1 = (matrix1->r1c1 * weight1 + matrix2->r1c1 * weight2) + (matrix3->r1c1 * weight3 + matrix4->r1c1 * weight4) + matrix5->r1c1 * weight5;
sum->r1c2 = (matrix1->r1c2 * weight1 + matrix2->r1c2 * weight2) + (matrix3->r1c2 * weight3 + matrix4->r1c2 * weight4) + matrix5->r1c2 * weight5;
sum->r1c3 = (matrix1->r1c3 * weight1 + matrix2->r1c3 * weight2) + (matrix3->r1c3 * weight3 + matrix4->r1c3 * weight4) + matrix5->r1c3 * weight5;
sum->r2c1 = (matrix1->r2c1 * weight1 + matrix2->r2c1 * weight2) + (matrix3->r2c1 * weight3 + matrix4->r2c1 * weight4) + matrix5->r2c1 * weight5;
sum->r2c2 = (matrix1->r2c2 * weight1 + matrix2->r2c2 * weight2) + (matrix3->r2c2 * weight3 + matrix4->r2c2 * weight4) + matrix5->r2c2 * weight5;
sum->r2c3 = (matrix1->r2c3 * weight1 + matrix2->r2c3 * weight2) + (matrix3->r2c3 * weight3 + matrix4->r2c3 * weight4) + matrix5->r2c3 * weight5;
sum->r3c1 = (matrix1->r3c1 * weight1 + matrix2->r3c1 * weight2) + (matrix3->r3c1 * weight3 + matrix4->r3c1 * weight4) + matrix5->r3c1 * weight5;
sum->r3c2 = (matrix1->r3c2 * weight1 + matrix2->r3c2 * weight2) + (matrix3->r3c2 * weight3 + matrix4->r3c2 * weight4) + matrix5->r3c2 * weight5;
sum->r3c3 = (matrix1->r3c3 * weight1 + matrix2->r3c3 * weight2) + (matrix3->r3c3 * weight3 + matrix4->r3c3 * weight4) + matrix5->r3c3 * weight5;
}

View file

@ -378,6 +378,38 @@ static inline void dp_matrix3x3_set_column3(const double r1, const double r2, co
matrix->r3c3 = r3;
}
// ================ Append scaled =============== //
static inline void sp_matrix3x3_append_scaled(SPMatrix3x3* basic_vector, const SPMatrix3x3* scalable_vector, const float scale)
{
basic_vector->r1c1 += scalable_vector->r1c1 * scale;
basic_vector->r1c2 += scalable_vector->r1c2 * scale;
basic_vector->r1c3 += scalable_vector->r1c3 * scale;
basic_vector->r2c1 += scalable_vector->r2c1 * scale;
basic_vector->r2c2 += scalable_vector->r2c2 * scale;
basic_vector->r2c3 += scalable_vector->r2c3 * scale;
basic_vector->r3c1 += scalable_vector->r3c1 * scale;
basic_vector->r3c2 += scalable_vector->r3c2 * scale;
basic_vector->r3c3 += scalable_vector->r3c3 * scale;
}
static inline void dp_matrix3x3_append_scaled(DPMatrix3x3* basic_vector, const DPMatrix3x3* scalable_vector, const double scale)
{
basic_vector->r1c1 += scalable_vector->r1c1 * scale;
basic_vector->r1c2 += scalable_vector->r1c2 * scale;
basic_vector->r1c3 += scalable_vector->r1c3 * scale;
basic_vector->r2c1 += scalable_vector->r2c1 * scale;
basic_vector->r2c2 += scalable_vector->r2c2 * scale;
basic_vector->r2c3 += scalable_vector->r2c3 * scale;
basic_vector->r3c1 += scalable_vector->r3c1 * scale;
basic_vector->r3c2 += scalable_vector->r3c2 * scale;
basic_vector->r3c3 += scalable_vector->r3c3 * scale;
}
// ================== Addition ================== //
static inline void sp_matrix3x3_add(const SPMatrix3x3* matrix1, const SPMatrix3x3* matrix2, SPMatrix3x3* sum)
@ -506,74 +538,6 @@ static inline void dp_matrix3x3_divide(const DPMatrix3x3* dividend, const double
quotient->r3c3 = dividend->r3c3 / divisor;
}
// ============= Weighed Sum of two ============= //
void sp_matrix3x3_get_weighted_sum2(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
SPMatrix3x3* sum
);
void dp_matrix3x3_get_weighted_sum2(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
DPMatrix3x3* sum
);
// ============ Weighed Sum of three ============ //
void sp_matrix3x3_get_weighted_sum3(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
const float weight3, const SPMatrix3x3* matrix3,
SPMatrix3x3* sum
);
void dp_matrix3x3_get_weighted_sum3(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
const double weight3, const DPMatrix3x3* matrix3,
DPMatrix3x3* sum
);
// ============ Weighed Sum of four ============= //
void sp_matrix3x3_get_weighted_sum4(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
const float weight3, const SPMatrix3x3* matrix3,
const float weight4, const SPMatrix3x3* matrix4,
SPMatrix3x3* sum
);
void dp_matrix3x3_get_weighted_sum4(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
const double weight3, const DPMatrix3x3* matrix3,
const double weight4, const DPMatrix3x3* matrix4,
DPMatrix3x3* sum
);
// ============ Weighed Sum of five ============= //
void sp_matrix3x3_get_weighted_sum5(
const float weight1, const SPMatrix3x3* matrix1,
const float weight2, const SPMatrix3x3* matrix2,
const float weight3, const SPMatrix3x3* matrix3,
const float weight4, const SPMatrix3x3* matrix4,
const float weight5, const SPMatrix3x3* matrix5,
SPMatrix3x3* sum
);
void dp_matrix3x3_get_weighted_sum5(
const double weight1, const DPMatrix3x3* matrix1,
const double weight2, const DPMatrix3x3* matrix2,
const double weight3, const DPMatrix3x3* matrix3,
const double weight4, const DPMatrix3x3* matrix4,
const double weight5, const DPMatrix3x3* matrix5,
DPMatrix3x3* sum
);
// ============ Left Vector Product ============= //
static inline void sp_matrix3x3_left_product(const SPVector3* vector, const SPMatrix3x3* matrix, SPVector3* result)

View file

@ -206,16 +206,16 @@ static inline void dp_vector2_divide(const DPVector2* dividend, const double div
// ================ Append scaled =============== //
static inline void sp_vector2_append_scaled(SPVector2* basic_vector, const SPVector2* scalable_summand, const float scale)
static inline void sp_vector2_append_scaled(SPVector2* basic_vector, const SPVector2* scalable_vector, const float scale)
{
basic_vector->x1 += scalable_summand->x1 * scale;
basic_vector->x2 += scalable_summand->x2 * scale;
basic_vector->x1 += scalable_vector->x1 * scale;
basic_vector->x2 += scalable_vector->x2 * scale;
}
static inline void dp_vector2_append_scaled(DPVector2* basic_vector, const DPVector2* scalable_summand, const double scale)
static inline void dp_vector2_append_scaled(DPVector2* basic_vector, const DPVector2* scalable_vector, const double scale)
{
basic_vector->x1 += scalable_summand->x1 * scale;
basic_vector->x2 += scalable_summand->x2 * scale;
basic_vector->x1 += scalable_vector->x1 * scale;
basic_vector->x2 += scalable_vector->x2 * scale;
}
// ================== Average2 ================== //

View file

@ -228,18 +228,18 @@ static inline void dp_vector3_divide(const DPVector3* dividend, const double div
// ================ Append scaled =============== //
static inline void sp_vector3_append_scaled(SPVector3* basic_vector, const SPVector3* scalable_summand, const float scale)
static inline void sp_vector3_append_scaled(SPVector3* basic_vector, const SPVector3* scalable_vector, const float scale)
{
basic_vector->x1 += scalable_summand->x1 * scale;
basic_vector->x2 += scalable_summand->x2 * scale;
basic_vector->x3 += scalable_summand->x3 * scale;
basic_vector->x1 += scalable_vector->x1 * scale;
basic_vector->x2 += scalable_vector->x2 * scale;
basic_vector->x3 += scalable_vector->x3 * scale;
}
static inline void dp_vector3_append_scaled(DPVector3* basic_vector, const DPVector3* scalable_summand, const double scale)
static inline void dp_vector3_append_scaled(DPVector3* basic_vector, const DPVector3* scalable_vector, const double scale)
{
basic_vector->x1 += scalable_summand->x1 * scale;
basic_vector->x2 += scalable_summand->x2 * scale;
basic_vector->x3 += scalable_summand->x3 * scale;
basic_vector->x1 += scalable_vector->x1 * scale;
basic_vector->x2 += scalable_vector->x2 * scale;
basic_vector->x3 += scalable_vector->x3 * scale;
}
// ================== Average2 ================== //

View file

@ -117,16 +117,9 @@ static inline void sp_versor_set(const float s0, const float x1, const float x2,
const float square_module = (s0 * s0 + x1 * x1) + (x2 * x2 + x3 * x3);
if (1.0f - SP_TWO_EPSYLON <= square_module && square_module <= 1.0f + SP_TWO_EPSYLON) {
if (s0 > -1.0f + SP_EPSYLON) {
return;
}
sp_versor_reset(result);
return;
if (square_module < 1.0f - SP_TWO_EPSYLON || 1.0f + SP_TWO_EPSYLON < square_module) {
__sp_versor_normalize(square_module, result);
}
__sp_versor_normalize(square_module, result);
}
static inline void dp_versor_set(const double s0, const double x1, const double x2, const double x3, DPVersor* result)
@ -138,16 +131,9 @@ static inline void dp_versor_set(const double s0, const double x1, const double
const double square_module = (s0 * s0 + x1 * x1) + (x2 * x2 + x3 * x3);
if (1.0 - DP_TWO_EPSYLON <= square_module && square_module <= 1.0 + DP_TWO_EPSYLON) {
if (s0 > -1.0 + DP_EPSYLON) {
return;
}
dp_versor_reset(result);
return;
if (square_module < 1.0 - DP_TWO_EPSYLON || 1.0 + DP_TWO_EPSYLON < square_module) {
__dp_versor_normalize(square_module, result);
}
__dp_versor_normalize(square_module, result);
}
// ==================== Copy ==================== //
@ -268,24 +254,40 @@ static inline void dp_versor_make_inverted(const DPVersor* versor, DPVersor* res
static inline void sp_versor_combine(const SPVersor* second, const SPVersor* first, SPVersor* result)
{
sp_versor_set(
(second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3),
(second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3),
(second->_x2 * first->_s0 + second->_s0 * first->_x2) - (second->_x1 * first->_x3 - second->_x3 * first->_x1),
(second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2),
result
);
const float s0 = (second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3);
const float x1 = (second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3);
const float x2 = (second->_x2 * first->_s0 + second->_s0 * first->_x2) - (second->_x1 * first->_x3 - second->_x3 * first->_x1);
const float x3 = (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2);
const float square_module = (s0 * s0 + x1 * x1) + (x2 * x2 + x3 * x3);
result->_s0 = s0;
result->_x1 = x1;
result->_x2 = x2;
result->_x3 = x3;
if (square_module < 1.0f - SP_TWO_EPSYLON || 1.0f + SP_TWO_EPSYLON < square_module) {
__sp_versor_normalize(square_module, result);
}
}
static inline void dp_versor_combine(const DPVersor* second, const DPVersor* first, DPVersor* result)
{
dp_versor_set(
(second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3),
(second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3),
(second->_x2 * first->_s0 + second->_s0 * first->_x2) - (second->_x1 * first->_x3 - second->_x3 * first->_x1),
(second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2),
result
);
const double s0 = (second->_s0 * first->_s0 - second->_x1 * first->_x1) - (second->_x2 * first->_x2 + second->_x3 * first->_x3);
const double x1 = (second->_x1 * first->_s0 + second->_s0 * first->_x1) - (second->_x3 * first->_x2 - second->_x2 * first->_x3);
const double x2 = (second->_x2 * first->_s0 + second->_s0 * first->_x2) - (second->_x1 * first->_x3 - second->_x3 * first->_x1);
const double x3 = (second->_x3 * first->_s0 + second->_s0 * first->_x3) - (second->_x2 * first->_x1 - second->_x1 * first->_x2);
const double square_module = (s0 * s0 + x1 * x1) + (x2 * x2 + x3 * x3);
result->_s0 = s0;
result->_x1 = x1;
result->_x2 = x2;
result->_x3 = x3;
if (square_module < 1.0 - DP_TWO_EPSYLON || 1.0 + DP_TWO_EPSYLON < square_module) {
__dp_versor_normalize(square_module, result);
}
}
// ================= Rotation3 ================== //

View file

@ -6,6 +6,14 @@
#define TEST_RESULT_SUCCES 0
#define TEST_RESULT_FAILED 100
#define TEST_SP_EPSYLON 1E-6f
#define TEST_SP_TWO_EPSYLON 2E-6f
#define TEST_SP_SQUARE_EPSYLON 1E-12f
#define TEST_DP_EPSYLON 1E-13f
#define TEST_DP_TWO_EPSYLON 2E-13f
#define TEST_DP_SQUARE_EPSYLON 1E-26f
void print_test_section(const char * name);
void print_test_name(const char * name);
@ -14,4 +22,32 @@ void print_test_success();
void print_test_failed();
inline int test_sp_are_equal(const float value1, const float value2, const float epsylon)
{
if (-1.0f <= value1 && value1 <= 1.0f) {
const float difference = value1 - value2;
return -epsylon <= difference && difference <= epsylon;
}
if (value1 > 0.0f) {
return value1 <= value2 * (1.0f + epsylon) && value2 <= value1 * (1.0f + epsylon);
}
return value1 * (1.0f + epsylon) <= value2 && value2 * (1.0f + epsylon) <= value1;
}
inline int test_dp_are_equal(const double value1, const double value2, const double epsylon)
{
if (-1.0 <= value1 && value1 <= 1.0) {
const double difference = value1 - value2;
return -epsylon <= difference && difference <= epsylon;
}
if (value1 > 0.0) {
return value1 <= value2 * (1.0 + epsylon) && value2 <= value1 * (1.0 + epsylon);
}
return value1 * (1.0 + epsylon) <= value2 && value2 * (1.0 + epsylon) <= value1;
}
#endif

View file

@ -1,16 +1,150 @@
#include "sp_vector2_test.h"
int _test_sp_vector2_adding()
const int TEST_SP_VECTOR2_AMOUNT_1 = 5;
const SPVector2 TEST_SP_VECTOR2_COMMON_1[] = {
{ 3.0f, 4.0f },
{ -3.0f, -4.0f },
{ 10000.0f, -20000.0f },
{ 0.1f, -10.0f },
{ -123.5f, 3.7283f }
};
const SPVector2 TEST_SP_VECTOR2_COMMON_2[] = {
{ -3.0f, -4.0f },
{ -3.0f, -4.0f },
{ 0.002f, -0.05f },
{ -0.2f, 12.0f },
{ 1.5f, -23.35f }
};
// =============== Square module ================ //
const float SP_VECTOR2_SQUARE_MODULE_1[] = { 25.0f, 25.0f, 500000000.0f, 100.01f, 15266.150221f };
int test_sp_vector2_square_module()
{
print_test_name("SPVector2 square module");
float square_module;
for (int i = 0; i < TEST_SP_VECTOR2_AMOUNT_1; i++) {
square_module = sp_vector2_get_square_module(&TEST_SP_VECTOR2_COMMON_1[i]);
if (!test_sp_are_equal(square_module, SP_VECTOR2_SQUARE_MODULE_1[i], TEST_SP_TWO_EPSYLON)) {
print_test_failed();
return TEST_RESULT_FAILED;
}
}
print_test_success();
return TEST_RESULT_SUCCES;
}
// =================== Module =================== //
const float SP_VECTOR2_MODULE_1[] = { 5.0f, 5.0f, 22360.68f, 10.0005f, 123.55626338f };
int test_sp_vector2_module()
{
print_test_name("SPVector2 module");
float square_module;
for (int i = 0; i < TEST_SP_VECTOR2_AMOUNT_1; i++) {
square_module = sp_vector2_get_module(&TEST_SP_VECTOR2_COMMON_1[i]);
if (!test_sp_are_equal(square_module, SP_VECTOR2_MODULE_1[i], TEST_SP_EPSYLON)) {
print_test_failed();
return TEST_RESULT_FAILED;
}
}
print_test_success();
return TEST_RESULT_SUCCES;
}
// ===================== Add ==================== //
const SPVector2 TEST_SP_VECTOR2_COMMON_1_2_SUM[] = {
{ 0.0f, 0.0f },
{ -6.0f, -8.0f },
{ 10000.002f, -20000.05f },
{ -0.1f, 2.0f },
{ -122.0f, -19.6217f }
};
int test_sp_vector2_add()
{
print_test_name("SPVector2 add");
SPVector2 vector;
for (int i = 0; i < TEST_SP_VECTOR2_AMOUNT_1; i++) {
sp_vector2_add(&TEST_SP_VECTOR2_COMMON_1[i], &TEST_SP_VECTOR2_COMMON_2[i], &vector);
if (!test_sp_are_equal(vector.x1, TEST_SP_VECTOR2_COMMON_1_2_SUM[i].x1, TEST_SP_EPSYLON) ||
!test_sp_are_equal(vector.x2, TEST_SP_VECTOR2_COMMON_1_2_SUM[i].x2, TEST_SP_EPSYLON)) {
print_test_failed();
return TEST_RESULT_FAILED;
}
}
print_test_success();
return TEST_RESULT_SUCCES;
}
// ================== Subtract ================== //
const SPVector2 TEST_SP_VECTOR2_COMMON_1_2_DIFF[] = {
{ 6.0f, 8.0f },
{ 0.0f, 0.0f },
{ 9999.998f, -19999.95f },
{ 0.3f, -22.0f },
{ -125.0f, 27.0783f }
};
int test_sp_vector2_subtract()
{
print_test_name("SPVector2 subtract");
SPVector2 vector;
for (int i = 0; i < TEST_SP_VECTOR2_AMOUNT_1; i++) {
sp_vector2_subtract(&TEST_SP_VECTOR2_COMMON_1[i], &TEST_SP_VECTOR2_COMMON_2[i], &vector);
if (!test_sp_are_equal(vector.x1, TEST_SP_VECTOR2_COMMON_1_2_DIFF[i].x1, TEST_SP_EPSYLON) ||
!test_sp_are_equal(vector.x2, TEST_SP_VECTOR2_COMMON_1_2_DIFF[i].x2, TEST_SP_EPSYLON)) {
print_test_failed();
return TEST_RESULT_FAILED;
}
}
print_test_success();
return TEST_RESULT_SUCCES;
}
// ==================== 1234 ==================== //
int test_sp_vector2()
{
print_test_section("SPVector2");
if (test_sp_vector2_square_module() != TEST_RESULT_SUCCES) {
return TEST_RESULT_FAILED;
}
if (test_sp_vector2_module() != TEST_RESULT_SUCCES) {
return TEST_RESULT_FAILED;
}
if (test_sp_vector2_add() != TEST_RESULT_SUCCES) {
return TEST_RESULT_FAILED;
}
if (test_sp_vector2_subtract() != TEST_RESULT_SUCCES) {
return TEST_RESULT_FAILED;
}
return TEST_RESULT_SUCCES;
}

View file

@ -5,4 +5,12 @@
int test_sp_vector2();
int test_sp_vector2_square_module();
int test_sp_vector2_module();
int test_sp_vector2_add();
int test_sp_vector2_subtract();
#endif