Переименование проектов / Renaming of projects
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397
basic-geometry/vector2.h
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397
basic-geometry/vector2.h
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#ifndef _GEOMETRY_VECTOR2_H_
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#define _GEOMETRY_VECTOR2_H_
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#include "basis.h"
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#include "angle.h"
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#include <math.h>
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typedef struct
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{
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float x1, x2;
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} BgFP32Vector2;
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typedef struct
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{
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double x1, x2;
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} BgFP64Vector2;
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// =================== Reset ==================== //
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static inline void bg_fp32_vector2_reset(BgFP32Vector2* vector)
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{
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vector->x1 = 0.0f;
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vector->x2 = 0.0f;
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}
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static inline void bg_fp64_vector2_reset(BgFP64Vector2* vector)
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{
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vector->x1 = 0.0;
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vector->x2 = 0.0;
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}
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// ==================== Set ===================== //
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static inline void bg_fp32_vector2_set_values(const float x1, const float x2, BgFP32Vector2* to)
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{
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to->x1 = x1;
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to->x2 = x2;
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}
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static inline void bg_fp64_vector2_set_values(const double x1, const double x2, BgFP64Vector2* to)
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{
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to->x1 = x1;
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to->x2 = x2;
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}
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// ==================== Copy ==================== //
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static inline void bg_fp32_vector2_copy(const BgFP32Vector2* from, BgFP32Vector2* to)
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{
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to->x1 = from->x1;
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to->x2 = from->x2;
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}
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static inline void bg_fp64_vector2_copy(const BgFP64Vector2* from, BgFP64Vector2* to)
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{
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to->x1 = from->x1;
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to->x2 = from->x2;
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}
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// ============= Copy to twin type ============== //
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static inline void bg_fp32_vector2_set_from_fp64(const BgFP64Vector2* from, BgFP32Vector2* to)
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{
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to->x1 = (float)from->x1;
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to->x2 = (float)from->x2;
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}
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static inline void bg_fp64_vector2_set_from_fp32(const BgFP32Vector2* from, BgFP64Vector2* to)
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{
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to->x1 = from->x1;
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to->x2 = from->x2;
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}
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// =================== Reverse ================== //
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static inline void bg_fp32_vector2_set_reverse(const BgFP32Vector2* from, BgFP32Vector2* to)
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{
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to->x1 = -from->x1;
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to->x2 = -from->x2;
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}
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static inline void bg_fp64_vector2_set_reverse(const BgFP64Vector2* from, BgFP64Vector2* to)
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{
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to->x1 = -from->x1;
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to->x2 = -from->x2;
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}
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// ============= Reverse twin type ============== //
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static inline void bg_fp32_vector2_set_reverse_fp64(const BgFP64Vector2* from, BgFP32Vector2* to)
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{
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to->x1 = (float) -from->x1;
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to->x2 = (float) -from->x2;
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}
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static inline void bg_fp64_vector2_set_reverse_fp32(const BgFP32Vector2* from, BgFP64Vector2* to)
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{
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to->x1 = -from->x1;
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to->x2 = -from->x2;
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}
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// =================== Module =================== //
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static inline float bg_fp32_vector2_get_square_module(const BgFP32Vector2* vector)
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{
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return vector->x1 * vector->x1 + vector->x2 * vector->x2;
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}
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static inline double bg_fp64_vector2_get_square_module(const BgFP64Vector2* vector)
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{
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return vector->x1 * vector->x1 + vector->x2 * vector->x2;
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}
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static inline float bg_fp32_vector2_get_module(const BgFP32Vector2* vector)
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{
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return sqrtf(bg_fp32_vector2_get_square_module(vector));
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}
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static inline double bg_fp64_vector2_get_module(const BgFP64Vector2* vector)
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{
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return sqrt(bg_fp64_vector2_get_square_module(vector));
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}
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// ================= Comparison ================= //
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static inline int bg_fp32_vector2_is_zero(const BgFP32Vector2* vector)
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{
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return bg_fp32_vector2_get_square_module(vector) <= BG_FP32_SQUARE_EPSYLON;
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}
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static inline int bg_fp64_vector2_is_zero(const BgFP64Vector2* vector)
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{
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return bg_fp64_vector2_get_square_module(vector) <= BG_FP64_SQUARE_EPSYLON;
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}
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static inline int bg_fp32_vector2_is_unit(const BgFP32Vector2* vector)
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{
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const float square_module = bg_fp32_vector2_get_square_module(vector);
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return 1.0f - BG_FP32_TWO_EPSYLON <= square_module && square_module <= 1.0f + BG_FP32_TWO_EPSYLON;
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}
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static inline int bg_fp64_vector2_is_unit(const BgFP64Vector2* vector)
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{
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const double square_module = bg_fp64_vector2_get_square_module(vector);
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return 1.0f - BG_FP64_TWO_EPSYLON <= square_module && square_module <= 1.0f + BG_FP64_TWO_EPSYLON;
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}
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// ==================== Add ===================== //
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static inline void bg_fp32_vector2_add(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2, BgFP32Vector2* result)
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{
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result->x1 = vector1->x1 + vector2->x1;
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result->x2 = vector1->x2 + vector2->x2;
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}
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static inline void bg_fp64_vector2_add(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2, BgFP64Vector2* result)
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{
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result->x1 = vector1->x1 + vector2->x1;
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result->x2 = vector1->x2 + vector2->x2;
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}
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// ================ Subtraction ================= //
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static inline void bg_fp32_vector2_subtract(const BgFP32Vector2* minuend, const BgFP32Vector2* subtrahend, BgFP32Vector2* result)
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{
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result->x1 = minuend->x1 - subtrahend->x1;
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result->x2 = minuend->x2 - subtrahend->x2;
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}
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static inline void bg_fp64_vector2_subtract(const BgFP64Vector2* minuend, const BgFP64Vector2* subtrahend, BgFP64Vector2* result)
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{
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result->x1 = minuend->x1 - subtrahend->x1;
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result->x2 = minuend->x2 - subtrahend->x2;
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}
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// =============== Multiplication =============== //
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static inline void bg_fp32_vector2_multiply(const BgFP32Vector2* multiplicand, const float multiplier, BgFP32Vector2* result)
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{
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result->x1 = multiplicand->x1 * multiplier;
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result->x2 = multiplicand->x2 * multiplier;
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}
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static inline void bg_fp64_vector2_multiply(const BgFP64Vector2* multiplicand, const double multiplier, BgFP64Vector2* result)
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{
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result->x1 = multiplicand->x1 * multiplier;
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result->x2 = multiplicand->x2 * multiplier;
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}
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// ================== Division ================== //
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static inline void bg_fp32_vector2_divide(const BgFP32Vector2* dividend, const float divisor, BgFP32Vector2* result)
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{
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result->x1 = dividend->x1 / divisor;
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result->x2 = dividend->x2 / divisor;
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}
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static inline void bg_fp64_vector2_divide(const BgFP64Vector2* dividend, const double divisor, BgFP64Vector2* result)
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{
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result->x1 = dividend->x1 / divisor;
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result->x2 = dividend->x2 / divisor;
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}
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// ================ Append scaled =============== //
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static inline void bg_fp32_vector2_append_scaled(BgFP32Vector2* basic_vector, const BgFP32Vector2* scalable_vector, const float scale)
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{
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basic_vector->x1 += scalable_vector->x1 * scale;
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basic_vector->x2 += scalable_vector->x2 * scale;
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}
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static inline void bg_fp64_vector2_append_scaled(BgFP64Vector2* basic_vector, const BgFP64Vector2* scalable_vector, const double scale)
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{
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basic_vector->x1 += scalable_vector->x1 * scale;
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basic_vector->x2 += scalable_vector->x2 * scale;
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}
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// ================== Average2 ================== //
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static inline void bg_fp32_vector2_get_mean2(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2, BgFP32Vector2* result)
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{
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result->x1 = (vector1->x1 + vector2->x1) * 0.5f;
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result->x2 = (vector1->x2 + vector2->x2) * 0.5f;
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}
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static inline void bg_fp64_vector2_get_mean2(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2, BgFP64Vector2* result)
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{
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result->x1 = (vector1->x1 + vector2->x1) * 0.5;
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result->x2 = (vector1->x2 + vector2->x2) * 0.5;
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}
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// ================== Average3 ================== //
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static inline void bg_fp32_vector2_get_mean3(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2, const BgFP32Vector2* vector3, BgFP32Vector2* result)
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{
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result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BG_FP32_ONE_THIRD;
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result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BG_FP32_ONE_THIRD;
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}
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static inline void bg_fp64_vector2_get_mean3(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2, const BgFP64Vector2* vector3, BgFP64Vector2* result)
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{
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result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * BG_FP64_ONE_THIRD;
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result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * BG_FP64_ONE_THIRD;
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}
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// =============== Scalar Product =============== //
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static inline float bg_fp32_vector2_dot_product(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2)
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{
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return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2;
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}
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static inline double bg_fp64_vector2_dot_product(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2)
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{
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return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2;
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}
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// =============== Cross Product ================ //
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static inline float bg_fp32_vector2_cross_product(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2)
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{
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return vector1->x1 * vector2->x2 - vector1->x2 * vector2->x1;
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}
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static inline double bg_fp64_vector2_cross_product(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2, BgFP64Vector2* result)
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{
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return vector1->x1 * vector2->x2 - vector1->x2 * vector2->x1;
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}
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// =============== Normalization ================ //
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static inline int bg_fp32_vector2_normalize(BgFP32Vector2* vector)
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{
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const float square_module = bg_fp32_vector2_get_square_module(vector);
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if (1.0f - BG_FP32_TWO_EPSYLON <= square_module && square_module <= 1.0f + BG_FP32_TWO_EPSYLON) {
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return 1;
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}
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if (square_module <= BG_FP32_SQUARE_EPSYLON) {
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bg_fp32_vector2_reset(vector);
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return 0;
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}
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bg_fp32_vector2_divide(vector, sqrtf(square_module), vector);
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return 1;
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}
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static inline int bg_fp64_vector2_normalize(BgFP64Vector2* vector)
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{
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const double square_module = bg_fp64_vector2_get_square_module(vector);
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if (1.0 - BG_FP64_TWO_EPSYLON <= square_module && square_module <= 1.0 + BG_FP64_TWO_EPSYLON) {
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return 1;
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}
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if (square_module <= BG_FP64_SQUARE_EPSYLON) {
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bg_fp64_vector2_reset(vector);
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return 0;
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}
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bg_fp64_vector2_divide(vector, sqrt(square_module), vector);
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return 1;
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}
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// =============== Get Normalized =============== //
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static inline int bg_fp32_vector2_set_normalized(const BgFP32Vector2* vector, BgFP32Vector2* result)
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{
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bg_fp32_vector2_copy(vector, result);
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return bg_fp32_vector2_normalize(result);
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}
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static inline int bg_fp64_vector2_set_normalized(const BgFP64Vector2* vector, BgFP64Vector2* result)
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{
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bg_fp64_vector2_copy(vector, result);
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return bg_fp64_vector2_normalize(result);
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}
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// =================== Angle ==================== //
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float bg_fp32_vector2_get_angle(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2, const angle_unit_t unit);
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double bg_fp64_vector2_get_angle(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2, const angle_unit_t unit);
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// =============== Square Distance ============== //
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static inline float bg_fp32_vector2_get_square_distance(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2)
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{
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const float dx1 = (vector1->x1 - vector2->x1);
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const float dx2 = (vector1->x2 - vector2->x2);
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return dx1 * dx1 + dx2 * dx2;
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}
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static inline double bg_fp64_vector2_get_square_distance(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2)
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{
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const double dx1 = (vector1->x1 - vector2->x1);
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const double dx2 = (vector1->x2 - vector2->x2);
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return dx1 * dx1 + dx2 * dx2;
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}
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// ================== Distance ================== //
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static inline float bg_fp32_vector2_get_distance(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2)
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{
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return sqrtf(bg_fp32_vector2_get_square_distance(vector1, vector2));
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}
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static inline double bg_fp64_vector2_get_distance(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2)
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{
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return sqrt(bg_fp64_vector2_get_square_distance(vector1, vector2));
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}
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// ================== Are Equal ================= //
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static inline int bg_fp32_vector2_are_equal(const BgFP32Vector2* vector1, const BgFP32Vector2* vector2)
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{
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const float square_module1 = bg_fp32_vector2_get_square_module(vector1);
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const float square_module2 = bg_fp32_vector2_get_square_module(vector2);
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const float square_module3 = bg_fp32_vector2_get_square_distance(vector1, vector2);
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// 2.0f means dimension amount
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if (square_module1 < BG_FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_module2 < BG_FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
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return square_module3 < (2.0f * BG_FP32_SQUARE_EPSYLON);
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}
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if (square_module1 <= square_module2) {
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return square_module3 <= (2.0f * BG_FP32_SQUARE_EPSYLON) * square_module2;
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}
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return square_module3 <= (2.0f * BG_FP32_SQUARE_EPSYLON) * square_module1;
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}
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static inline int bg_fp64_vector2_are_equal(const BgFP64Vector2* vector1, const BgFP64Vector2* vector2)
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{
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const double square_module1 = bg_fp64_vector2_get_square_module(vector1);
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const double square_module2 = bg_fp64_vector2_get_square_module(vector2);
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const double square_module3 = bg_fp64_vector2_get_square_distance(vector1, vector2);
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// 2.0 means dimension amount
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if (square_module1 < BG_FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_module2 < BG_FP64_EPSYLON_EFFECTIVENESS_LIMIT) {
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return square_module3 < (2.0 * BG_FP64_SQUARE_EPSYLON);
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}
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if (square_module1 <= square_module2) {
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return square_module3 <= (2.0 * BG_FP64_SQUARE_EPSYLON) * square_module2;
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}
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return square_module3 <= (2.0 * BG_FP64_SQUARE_EPSYLON) * square_module1;
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}
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#endif
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