mirror of
https://github.com/bkaradzic/bx.git
synced 2026-02-17 20:52:37 +01:00
494 lines
11 KiB
C++
494 lines
11 KiB
C++
/*
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* Copyright 2011-2017 Branimir Karadzic. All rights reserved.
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* License: https://github.com/bkaradzic/bx#license-bsd-2-clause
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*/
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// FPU math lib
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#ifndef BX_FPU_MATH_H_HEADER_GUARD
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#define BX_FPU_MATH_H_HEADER_GUARD
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#include "bx.h"
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namespace bx
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{
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extern const float kPi;
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extern const float kPi2;
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extern const float kInvPi;
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extern const float kPiHalf;
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extern const float kSqrt2;
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extern const float kInvLogNat2;
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extern const float kHuge;
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///
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typedef float (*LerpFn)(float _a, float _b, float _t);
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///
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struct Handness
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{
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enum Enum
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{
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Left,
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Right,
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};
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};
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///
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struct NearFar
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{
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enum Enum
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{
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Default,
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Reverse,
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};
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};
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///
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float toRad(float _deg);
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///
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float toDeg(float _rad);
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///
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uint32_t floatToBits(float _a);
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///
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float bitsToFloat(uint32_t _a);
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///
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uint64_t doubleToBits(double _a);
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///
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double bitsToDouble(uint64_t _a);
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///
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bool isNan(float _f);
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///
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bool isNan(double _f);
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///
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bool isFinite(float _f);
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///
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bool isFinite(double _f);
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///
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bool isInfinite(float _f);
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///
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bool isInfinite(double _f);
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///
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float ffloor(float _f);
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///
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float fceil(float _f);
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///
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float fround(float _f);
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///
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float fmin(float _a, float _b);
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///
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float fmax(float _a, float _b);
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///
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float fmin3(float _a, float _b, float _c);
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///
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float fmax3(float _a, float _b, float _c);
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///
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float fclamp(float _a, float _min, float _max);
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///
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float fsaturate(float _a);
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///
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float flerp(float _a, float _b, float _t);
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///
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float fsign(float _a);
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///
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float fabs(float _a);
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///
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float fsq(float _a);
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///
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float fsin(float _a);
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///
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float fasin(float _a);
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///
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float fcos(float _a);
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///
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float ftan(float _a);
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///
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float facos(float _a);
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///
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float fatan2(float _y, float _x);
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///
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float fpow(float _a, float _b);
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///
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float fexp2(float _a);
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///
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float flog(float _a);
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///
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float flog2(float _a);
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///
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float fsqrt(float _a);
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///
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float frsqrt(float _a);
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///
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float ffract(float _a);
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///
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float fmod(float _a, float _b);
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///
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bool fequal(float _a, float _b, float _epsilon);
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///
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bool fequal(const float* _a, const float* _b, uint32_t _num, float _epsilon);
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///
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float fwrap(float _a, float _wrap);
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///
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float fstep(float _edge, float _a);
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///
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float fpulse(float _a, float _start, float _end);
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///
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float fsmoothstep(float _a);
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// References:
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// - Bias And Gain Are Your Friend
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// http://blog.demofox.org/2012/09/24/bias-and-gain-are-your-friend/
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// - http://demofox.org/biasgain.html
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///
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float fbias(float _time, float _bias);
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///
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float fgain(float _time, float _gain);
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///
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float angleDiff(float _a, float _b);
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/// Shortest distance linear interpolation between two angles.
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float angleLerp(float _a, float _b, float _t);
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///
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void vec3Move(float* _result, const float* _a);
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///
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void vec3Abs(float* _result, const float* _a);
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///
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void vec3Neg(float* _result, const float* _a);
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///
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void vec3Add(float* _result, const float* _a, const float* _b);
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///
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void vec3Add(float* _result, const float* _a, float _b);
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///
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void vec3Sub(float* _result, const float* _a, const float* _b);
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///
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void vec3Sub(float* _result, const float* _a, float _b);
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///
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void vec3Mul(float* _result, const float* _a, const float* _b);
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///
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void vec3Mul(float* _result, const float* _a, float _b);
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///
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float vec3Dot(const float* _a, const float* _b);
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///
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void vec3Cross(float* _result, const float* _a, const float* _b);
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///
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float vec3Length(const float* _a);
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///
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void vec3Lerp(float* _result, const float* _a, const float* _b, float _t);
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///
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void vec3Lerp(float* _result, const float* _a, const float* _b, const float* _c);
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///
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float vec3Norm(float* _result, const float* _a);
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///
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void vec3Min(float* _result, const float* _a, const float* _b);
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///
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void vec3Max(float* _result, const float* _a, const float* _b);
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///
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void vec3Rcp(float* _result, const float* _a);
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/// Calculate tangent frame from normal.
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///
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void vec3TangentFrame(const float* _n, float* _t, float* _b);
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/// Calculate tangent frame from normal and angle.
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///
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void vec3TangentFrame(const float* _n, float* _t, float* _b, float _angle);
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///
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void vec3FromLatLong(float* _vec, float _u, float _v);
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///
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void vec3ToLatLong(float* _u, float* _v, const float* _vec);
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///
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void quatIdentity(float* _result);
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///
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void quatMove(float* _result, const float* _a);
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///
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void quatMulXYZ(float* _result, const float* _qa, const float* _qb);
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///
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void quatMul(float* _result, const float* _qa, const float* _qb);
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///
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void quatInvert(float* _result, const float* _quat);
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///
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float quatDot(const float* _a, const float* _b);
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///
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void quatNorm(float* _result, const float* _quat);
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///
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void quatToEuler(float* _result, const float* _quat);
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///
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void quatRotateAxis(float* _result, const float* _axis, float _angle);
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///
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void quatRotateX(float* _result, float _ax);
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///
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void quatRotateY(float* _result, float _ay);
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///
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void quatRotateZ(float* _result, float _az);
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///
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void vec3MulQuat(float* _result, const float* _vec, const float* _quat);
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///
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void mtxIdentity(float* _result);
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///
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void mtxTranslate(float* _result, float _tx, float _ty, float _tz);
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///
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void mtxScale(float* _result, float _sx, float _sy, float _sz);
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///
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void mtxScale(float* _result, float _scale);
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///
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void mtxFromNormal(float* _result, const float* _normal, float _scale, const float* _pos);
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///
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void mtxFromNormal(float* _result, const float* _normal, float _scale, const float* _pos, float _angle);
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///
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void mtxQuat(float* _result, const float* _quat);
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///
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void mtxQuatTranslation(float* _result, const float* _quat, const float* _translation);
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///
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void mtxQuatTranslationHMD(float* _result, const float* _quat, const float* _translation);
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///
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void mtxLookAtLh(float* _result, const float* _eye, const float* _at, const float* _up = NULL);
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///
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void mtxLookAtRh(float* _result, const float* _eye, const float* _at, const float* _up = NULL);
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///
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void mtxLookAt(float* _result, const float* _eye, const float* _at, const float* _up = NULL);
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///
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void mtxProj(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc);
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///
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void mtxProj(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc);
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///
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void mtxProj(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc);
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///
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void mtxProjLh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc);
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///
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void mtxProjLh(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc);
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///
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void mtxProjLh(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc);
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///
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void mtxProjRh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc);
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///
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void mtxProjRh(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc);
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///
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void mtxProjRh(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc);
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///
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void mtxProjInf(float* _result, const float _fov[4], float _near, bool _oglNdc);
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///
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void mtxProjInf(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc);
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///
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void mtxProjInf(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc);
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///
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void mtxProjInfLh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc);
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///
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void mtxProjInfLh(float* _result, const float _fov[4], float _near, bool _oglNdc);
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///
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void mtxProjInfLh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc);
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///
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void mtxProjInfRh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc);
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///
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void mtxProjInfRh(float* _result, const float _fov[4], float _near, bool _oglNdc);
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///
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void mtxProjInfRh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc);
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///
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void mtxProjRevInfLh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc);
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///
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void mtxProjRevInfLh(float* _result, const float _fov[4], float _near, bool _oglNdc);
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///
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void mtxProjRevInfLh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc);
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///
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void mtxProjRevInfRh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc);
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///
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void mtxProjRevInfRh(float* _result, const float _fov[4], float _near, bool _oglNdc);
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///
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void mtxProjRevInfRh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc);
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///
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void mtxOrtho(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc);
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///
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void mtxOrthoLh(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc);
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///
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void mtxOrthoRh(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc);
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///
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void mtxRotateX(float* _result, float _ax);
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///
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void mtxRotateY(float* _result, float _ay);
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///
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void mtxRotateZ(float* _result, float _az);
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///
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void mtxRotateXY(float* _result, float _ax, float _ay);
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///
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void mtxRotateXYZ(float* _result, float _ax, float _ay, float _az);
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///
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void mtxRotateZYX(float* _result, float _ax, float _ay, float _az);
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///
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void mtxSRT(float* _result, float _sx, float _sy, float _sz, float _ax, float _ay, float _az, float _tx, float _ty, float _tz);
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///
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void vec3MulMtx(float* _result, const float* _vec, const float* _mat);
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///
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void vec3MulMtxH(float* _result, const float* _vec, const float* _mat);
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///
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void vec4MulMtx(float* _result, const float* _vec, const float* _mat);
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///
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void mtxMul(float* _result, const float* _a, const float* _b);
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///
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void mtxTranspose(float* _result, const float* _a);
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///
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void mtx3Inverse(float* _result, const float* _a);
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///
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void mtxInverse(float* _result, const float* _a);
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/// Convert LH to RH projection matrix and vice versa.
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///
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void mtxProjFlipHandedness(float* _dst, const float* _src);
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/// Convert LH to RH view matrix and vice versa.
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///
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void mtxViewFlipHandedness(float* _dst, const float* _src);
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///
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void calcNormal(float _result[3], float _va[3], float _vb[3], float _vc[3]);
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///
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void calcPlane(float _result[4], float _va[3], float _vb[3], float _vc[3]);
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///
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void calcLinearFit2D(float _result[2], const void* _points, uint32_t _stride, uint32_t _numPoints);
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///
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void calcLinearFit3D(float _result[3], const void* _points, uint32_t _stride, uint32_t _numPoints);
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///
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void rgbToHsv(float _hsv[3], const float _rgb[3]);
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///
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void hsvToRgb(float _rgb[3], const float _hsv[3]);
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} // namespace bx
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#include "inline/math.inl"
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#endif // BX_FPU_MATH_H_HEADER_GUARD
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