/* * Copyright 2011-2017 Branimir Karadzic. All rights reserved. * License: https://github.com/bkaradzic/bx#license-bsd-2-clause */ #include "bx_p.h" #include #include namespace bx { const float kPi = 3.1415926535897932384626433832795f; const float kPi2 = 6.2831853071795864769252867665590f; const float kInvPi = 1.0f/kPi; const float kPiHalf = 1.5707963267948966192313216916398f; const float kSqrt2 = 1.4142135623730950488016887242097f; const float kInvLogNat2 = 1.4426950408889634073599246810019f; #if BX_COMPILER_MSVC const float kHuge = float(HUGE_VAL); #else const float kHuge = HUGE_VALF; #endif // BX_COMPILER_MSVC float fabs(float _a) { return ::fabsf(_a); } float fsin(float _a) { return ::sinf(_a); } float fasin(float _a) { return ::asinf(_a); } float fcos(float _a) { return ::cosf(_a); } float ftan(float _a) { return ::tanf(_a); } float facos(float _a) { return ::acosf(_a); } float fatan2(float _y, float _x) { return ::atan2f(_y, _x); } float fpow(float _a, float _b) { return ::powf(_a, _b); } float flog(float _a) { return ::logf(_a); } float fsqrt(float _a) { return ::sqrtf(_a); } float ffloor(float _f) { return ::floorf(_f); } float fceil(float _f) { return ::ceilf(_f); } float fmod(float _a, float _b) { return ::fmodf(_a, _b); } void mtxLookAtImpl(float* _result, const float* _eye, const float* _view, const float* _up) { float up[3] = { 0.0f, 1.0f, 0.0f }; if (NULL != _up) { up[0] = _up[0]; up[1] = _up[1]; up[2] = _up[2]; } float tmp[4]; vec3Cross(tmp, up, _view); float right[4]; vec3Norm(right, tmp); vec3Cross(up, _view, right); memSet(_result, 0, sizeof(float)*16); _result[ 0] = right[0]; _result[ 1] = up[0]; _result[ 2] = _view[0]; _result[ 4] = right[1]; _result[ 5] = up[1]; _result[ 6] = _view[1]; _result[ 8] = right[2]; _result[ 9] = up[2]; _result[10] = _view[2]; _result[12] = -vec3Dot(right, _eye); _result[13] = -vec3Dot(up, _eye); _result[14] = -vec3Dot(_view, _eye); _result[15] = 1.0f; } void mtxLookAtLh(float* _result, const float* _eye, const float* _at, const float* _up) { float tmp[4]; vec3Sub(tmp, _at, _eye); float view[4]; vec3Norm(view, tmp); mtxLookAtImpl(_result, _eye, view, _up); } void mtxLookAtRh(float* _result, const float* _eye, const float* _at, const float* _up) { float tmp[4]; vec3Sub(tmp, _eye, _at); float view[4]; vec3Norm(view, tmp); mtxLookAtImpl(_result, _eye, view, _up); } void mtxLookAt(float* _result, const float* _eye, const float* _at, const float* _up) { mtxLookAtLh(_result, _eye, _at, _up); } template void mtxProjXYWH(float* _result, float _x, float _y, float _width, float _height, float _near, float _far, bool _oglNdc) { const float diff = _far-_near; const float aa = _oglNdc ? ( _far+_near)/diff : _far/diff; const float bb = _oglNdc ? (2.0f*_far*_near)/diff : _near*aa; memSet(_result, 0, sizeof(float)*16); _result[ 0] = _width; _result[ 5] = _height; _result[ 8] = (Handness::Right == HandnessT) ? _x : -_x; _result[ 9] = (Handness::Right == HandnessT) ? _y : -_y; _result[10] = (Handness::Right == HandnessT) ? -aa : aa; _result[11] = (Handness::Right == HandnessT) ? -1.0f : 1.0f; _result[14] = -bb; } template void mtxProjImpl(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc) { const float invDiffRl = 1.0f/(_rt - _lt); const float invDiffUd = 1.0f/(_ut - _dt); const float width = 2.0f*_near * invDiffRl; const float height = 2.0f*_near * invDiffUd; const float xx = (_rt + _lt) * invDiffRl; const float yy = (_ut + _dt) * invDiffUd; mtxProjXYWH(_result, xx, yy, width, height, _near, _far, _oglNdc); } template void mtxProjImpl(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fov[0], _fov[1], _fov[2], _fov[3], _near, _far, _oglNdc); } template void mtxProjImpl(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc) { const float height = 1.0f/ftan(toRad(_fovy)*0.5f); const float width = height * 1.0f/_aspect; mtxProjXYWH(_result, 0.0f, 0.0f, width, height, _near, _far, _oglNdc); } void mtxProj(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _ut, _dt, _lt, _rt, _near, _far, _oglNdc); } void mtxProj(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fov, _near, _far, _oglNdc); } void mtxProj(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fovy, _aspect, _near, _far, _oglNdc); } void mtxProjLh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _ut, _dt, _lt, _rt, _near, _far, _oglNdc); } void mtxProjLh(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fov, _near, _far, _oglNdc); } void mtxProjLh(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fovy, _aspect, _near, _far, _oglNdc); } void mtxProjRh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _ut, _dt, _lt, _rt, _near, _far, _oglNdc); } void mtxProjRh(float* _result, const float _fov[4], float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fov, _near, _far, _oglNdc); } void mtxProjRh(float* _result, float _fovy, float _aspect, float _near, float _far, bool _oglNdc) { mtxProjImpl(_result, _fovy, _aspect, _near, _far, _oglNdc); } template void mtxProjInfXYWH(float* _result, float _x, float _y, float _width, float _height, float _near, bool _oglNdc) { float aa; float bb; if (BX_ENABLED(NearFar::Reverse == NearFarT) ) { aa = _oglNdc ? -1.0f : 0.0f; bb = _oglNdc ? -2.0f*_near : -_near; } else { aa = 1.0f; bb = _oglNdc ? 2.0f*_near : _near; } memSet(_result, 0, sizeof(float)*16); _result[ 0] = _width; _result[ 5] = _height; _result[ 8] = (Handness::Right == HandnessT) ? _x : -_x; _result[ 9] = (Handness::Right == HandnessT) ? _y : -_y; _result[10] = (Handness::Right == HandnessT) ? -aa : aa; _result[11] = (Handness::Right == HandnessT) ? -1.0f : 1.0f; _result[14] = -bb; } template void mtxProjInfImpl(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc) { const float invDiffRl = 1.0f/(_rt - _lt); const float invDiffUd = 1.0f/(_ut - _dt); const float width = 2.0f*_near * invDiffRl; const float height = 2.0f*_near * invDiffUd; const float xx = (_rt + _lt) * invDiffRl; const float yy = (_ut + _dt) * invDiffUd; mtxProjInfXYWH(_result, xx, yy, width, height, _near, _oglNdc); } template void mtxProjInfImpl(float* _result, const float _fov[4], float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fov[0], _fov[1], _fov[2], _fov[3], _near, _oglNdc); } template void mtxProjInfImpl(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc) { const float height = 1.0f/ftan(toRad(_fovy)*0.5f); const float width = height * 1.0f/_aspect; mtxProjInfXYWH(_result, 0.0f, 0.0f, width, height, _near, _oglNdc); } void mtxProjInf(float* _result, const float _fov[4], float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fov, _near, _oglNdc); } void mtxProjInf(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _ut, _dt, _lt, _rt, _near, _oglNdc); } void mtxProjInf(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fovy, _aspect, _near, _oglNdc); } void mtxProjInfLh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _ut, _dt, _lt, _rt, _near, _oglNdc); } void mtxProjInfLh(float* _result, const float _fov[4], float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fov, _near, _oglNdc); } void mtxProjInfLh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fovy, _aspect, _near, _oglNdc); } void mtxProjInfRh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _ut, _dt, _lt, _rt, _near, _oglNdc); } void mtxProjInfRh(float* _result, const float _fov[4], float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fov, _near, _oglNdc); } void mtxProjInfRh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fovy, _aspect, _near, _oglNdc); } void mtxProjRevInfLh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _ut, _dt, _lt, _rt, _near, _oglNdc); } void mtxProjRevInfLh(float* _result, const float _fov[4], float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fov, _near, _oglNdc); } void mtxProjRevInfLh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fovy, _aspect, _near, _oglNdc); } void mtxProjRevInfRh(float* _result, float _ut, float _dt, float _lt, float _rt, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _ut, _dt, _lt, _rt, _near, _oglNdc); } void mtxProjRevInfRh(float* _result, const float _fov[4], float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fov, _near, _oglNdc); } void mtxProjRevInfRh(float* _result, float _fovy, float _aspect, float _near, bool _oglNdc) { mtxProjInfImpl(_result, _fovy, _aspect, _near, _oglNdc); } template void mtxOrthoImpl(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc) { const float aa = 2.0f/(_right - _left); const float bb = 2.0f/(_top - _bottom); const float cc = (_oglNdc ? 2.0f : 1.0f) / (_far - _near); const float dd = (_left + _right )/(_left - _right); const float ee = (_top + _bottom)/(_bottom - _top ); const float ff = _oglNdc ? (_near + _far)/(_near - _far) : _near /(_near - _far) ; memSet(_result, 0, sizeof(float)*16); _result[ 0] = aa; _result[ 5] = bb; _result[10] = (Handness::Right == HandnessT) ? -cc : cc; _result[12] = dd + _offset; _result[13] = ee; _result[14] = ff; _result[15] = 1.0f; } void mtxOrtho(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc) { mtxOrthoImpl(_result, _left, _right, _bottom, _top, _near, _far, _offset, _oglNdc); } void mtxOrthoLh(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc) { mtxOrthoImpl(_result, _left, _right, _bottom, _top, _near, _far, _offset, _oglNdc); } void mtxOrthoRh(float* _result, float _left, float _right, float _bottom, float _top, float _near, float _far, float _offset, bool _oglNdc) { mtxOrthoImpl(_result, _left, _right, _bottom, _top, _near, _far, _offset, _oglNdc); } void mtxRotateX(float* _result, float _ax) { const float sx = fsin(_ax); const float cx = fcos(_ax); memSet(_result, 0, sizeof(float)*16); _result[ 0] = 1.0f; _result[ 5] = cx; _result[ 6] = -sx; _result[ 9] = sx; _result[10] = cx; _result[15] = 1.0f; } void mtxRotateY(float* _result, float _ay) { const float sy = fsin(_ay); const float cy = fcos(_ay); memSet(_result, 0, sizeof(float)*16); _result[ 0] = cy; _result[ 2] = sy; _result[ 5] = 1.0f; _result[ 8] = -sy; _result[10] = cy; _result[15] = 1.0f; } void mtxRotateZ(float* _result, float _az) { const float sz = fsin(_az); const float cz = fcos(_az); memSet(_result, 0, sizeof(float)*16); _result[ 0] = cz; _result[ 1] = -sz; _result[ 4] = sz; _result[ 5] = cz; _result[10] = 1.0f; _result[15] = 1.0f; } void mtxRotateXY(float* _result, float _ax, float _ay) { const float sx = fsin(_ax); const float cx = fcos(_ax); const float sy = fsin(_ay); const float cy = fcos(_ay); memSet(_result, 0, sizeof(float)*16); _result[ 0] = cy; _result[ 2] = sy; _result[ 4] = sx*sy; _result[ 5] = cx; _result[ 6] = -sx*cy; _result[ 8] = -cx*sy; _result[ 9] = sx; _result[10] = cx*cy; _result[15] = 1.0f; } void mtxRotateXYZ(float* _result, float _ax, float _ay, float _az) { const float sx = fsin(_ax); const float cx = fcos(_ax); const float sy = fsin(_ay); const float cy = fcos(_ay); const float sz = fsin(_az); const float cz = fcos(_az); memSet(_result, 0, sizeof(float)*16); _result[ 0] = cy*cz; _result[ 1] = -cy*sz; _result[ 2] = sy; _result[ 4] = cz*sx*sy + cx*sz; _result[ 5] = cx*cz - sx*sy*sz; _result[ 6] = -cy*sx; _result[ 8] = -cx*cz*sy + sx*sz; _result[ 9] = cz*sx + cx*sy*sz; _result[10] = cx*cy; _result[15] = 1.0f; } void mtxRotateZYX(float* _result, float _ax, float _ay, float _az) { const float sx = fsin(_ax); const float cx = fcos(_ax); const float sy = fsin(_ay); const float cy = fcos(_ay); const float sz = fsin(_az); const float cz = fcos(_az); memSet(_result, 0, sizeof(float)*16); _result[ 0] = cy*cz; _result[ 1] = cz*sx*sy-cx*sz; _result[ 2] = cx*cz*sy+sx*sz; _result[ 4] = cy*sz; _result[ 5] = cx*cz + sx*sy*sz; _result[ 6] = -cz*sx + cx*sy*sz; _result[ 8] = -sy; _result[ 9] = cy*sx; _result[10] = cx*cy; _result[15] = 1.0f; }; void mtxSRT(float* _result, float _sx, float _sy, float _sz, float _ax, float _ay, float _az, float _tx, float _ty, float _tz) { const float sx = fsin(_ax); const float cx = fcos(_ax); const float sy = fsin(_ay); const float cy = fcos(_ay); const float sz = fsin(_az); const float cz = fcos(_az); const float sxsz = sx*sz; const float cycz = cy*cz; _result[ 0] = _sx * (cycz - sxsz*sy); _result[ 1] = _sx * -cx*sz; _result[ 2] = _sx * (cz*sy + cy*sxsz); _result[ 3] = 0.0f; _result[ 4] = _sy * (cz*sx*sy + cy*sz); _result[ 5] = _sy * cx*cz; _result[ 6] = _sy * (sy*sz -cycz*sx); _result[ 7] = 0.0f; _result[ 8] = _sz * -cx*sy; _result[ 9] = _sz * sx; _result[10] = _sz * cx*cy; _result[11] = 0.0f; _result[12] = _tx; _result[13] = _ty; _result[14] = _tz; _result[15] = 1.0f; } void mtx3Inverse(float* _result, const float* _a) { float xx = _a[0]; float xy = _a[1]; float xz = _a[2]; float yx = _a[3]; float yy = _a[4]; float yz = _a[5]; float zx = _a[6]; float zy = _a[7]; float zz = _a[8]; float det = 0.0f; det += xx * (yy*zz - yz*zy); det -= xy * (yx*zz - yz*zx); det += xz * (yx*zy - yy*zx); float invDet = 1.0f/det; _result[0] = +(yy*zz - yz*zy) * invDet; _result[1] = -(xy*zz - xz*zy) * invDet; _result[2] = +(xy*yz - xz*yy) * invDet; _result[3] = -(yx*zz - yz*zx) * invDet; _result[4] = +(xx*zz - xz*zx) * invDet; _result[5] = -(xx*yz - xz*yx) * invDet; _result[6] = +(yx*zy - yy*zx) * invDet; _result[7] = -(xx*zy - xy*zx) * invDet; _result[8] = +(xx*yy - xy*yx) * invDet; } void mtxInverse(float* _result, const float* _a) { float xx = _a[ 0]; float xy = _a[ 1]; float xz = _a[ 2]; float xw = _a[ 3]; float yx = _a[ 4]; float yy = _a[ 5]; float yz = _a[ 6]; float yw = _a[ 7]; float zx = _a[ 8]; float zy = _a[ 9]; float zz = _a[10]; float zw = _a[11]; float wx = _a[12]; float wy = _a[13]; float wz = _a[14]; float ww = _a[15]; float det = 0.0f; det += xx * (yy*(zz*ww - zw*wz) - yz*(zy*ww - zw*wy) + yw*(zy*wz - zz*wy) ); det -= xy * (yx*(zz*ww - zw*wz) - yz*(zx*ww - zw*wx) + yw*(zx*wz - zz*wx) ); det += xz * (yx*(zy*ww - zw*wy) - yy*(zx*ww - zw*wx) + yw*(zx*wy - zy*wx) ); det -= xw * (yx*(zy*wz - zz*wy) - yy*(zx*wz - zz*wx) + yz*(zx*wy - zy*wx) ); float invDet = 1.0f/det; _result[ 0] = +(yy*(zz*ww - wz*zw) - yz*(zy*ww - wy*zw) + yw*(zy*wz - wy*zz) ) * invDet; _result[ 1] = -(xy*(zz*ww - wz*zw) - xz*(zy*ww - wy*zw) + xw*(zy*wz - wy*zz) ) * invDet; _result[ 2] = +(xy*(yz*ww - wz*yw) - xz*(yy*ww - wy*yw) + xw*(yy*wz - wy*yz) ) * invDet; _result[ 3] = -(xy*(yz*zw - zz*yw) - xz*(yy*zw - zy*yw) + xw*(yy*zz - zy*yz) ) * invDet; _result[ 4] = -(yx*(zz*ww - wz*zw) - yz*(zx*ww - wx*zw) + yw*(zx*wz - wx*zz) ) * invDet; _result[ 5] = +(xx*(zz*ww - wz*zw) - xz*(zx*ww - wx*zw) + xw*(zx*wz - wx*zz) ) * invDet; _result[ 6] = -(xx*(yz*ww - wz*yw) - xz*(yx*ww - wx*yw) + xw*(yx*wz - wx*yz) ) * invDet; _result[ 7] = +(xx*(yz*zw - zz*yw) - xz*(yx*zw - zx*yw) + xw*(yx*zz - zx*yz) ) * invDet; _result[ 8] = +(yx*(zy*ww - wy*zw) - yy*(zx*ww - wx*zw) + yw*(zx*wy - wx*zy) ) * invDet; _result[ 9] = -(xx*(zy*ww - wy*zw) - xy*(zx*ww - wx*zw) + xw*(zx*wy - wx*zy) ) * invDet; _result[10] = +(xx*(yy*ww - wy*yw) - xy*(yx*ww - wx*yw) + xw*(yx*wy - wx*yy) ) * invDet; _result[11] = -(xx*(yy*zw - zy*yw) - xy*(yx*zw - zx*yw) + xw*(yx*zy - zx*yy) ) * invDet; _result[12] = -(yx*(zy*wz - wy*zz) - yy*(zx*wz - wx*zz) + yz*(zx*wy - wx*zy) ) * invDet; _result[13] = +(xx*(zy*wz - wy*zz) - xy*(zx*wz - wx*zz) + xz*(zx*wy - wx*zy) ) * invDet; _result[14] = -(xx*(yy*wz - wy*yz) - xy*(yx*wz - wx*yz) + xz*(yx*wy - wx*yy) ) * invDet; _result[15] = +(xx*(yy*zz - zy*yz) - xy*(yx*zz - zx*yz) + xz*(yx*zy - zx*yy) ) * invDet; } void calcLinearFit2D(float _result[2], const void* _points, uint32_t _stride, uint32_t _numPoints) { float sumX = 0.0f; float sumY = 0.0f; float sumXX = 0.0f; float sumXY = 0.0f; const uint8_t* ptr = (const uint8_t*)_points; for (uint32_t ii = 0; ii < _numPoints; ++ii, ptr += _stride) { const float* point = (const float*)ptr; float xx = point[0]; float yy = point[1]; sumX += xx; sumY += yy; sumXX += xx*xx; sumXY += xx*yy; } // [ sum(x^2) sum(x) ] [ A ] = [ sum(x*y) ] // [ sum(x) numPoints ] [ B ] [ sum(y) ] float det = (sumXX*_numPoints - sumX*sumX); float invDet = 1.0f/det; _result[0] = (-sumX * sumY + _numPoints * sumXY) * invDet; _result[1] = (sumXX * sumY - sumX * sumXY) * invDet; } void calcLinearFit3D(float _result[3], const void* _points, uint32_t _stride, uint32_t _numPoints) { float sumX = 0.0f; float sumY = 0.0f; float sumZ = 0.0f; float sumXX = 0.0f; float sumXY = 0.0f; float sumXZ = 0.0f; float sumYY = 0.0f; float sumYZ = 0.0f; const uint8_t* ptr = (const uint8_t*)_points; for (uint32_t ii = 0; ii < _numPoints; ++ii, ptr += _stride) { const float* point = (const float*)ptr; float xx = point[0]; float yy = point[1]; float zz = point[2]; sumX += xx; sumY += yy; sumZ += zz; sumXX += xx*xx; sumXY += xx*yy; sumXZ += xx*zz; sumYY += yy*yy; sumYZ += yy*zz; } // [ sum(x^2) sum(x*y) sum(x) ] [ A ] [ sum(x*z) ] // [ sum(x*y) sum(y^2) sum(y) ] [ B ] = [ sum(y*z) ] // [ sum(x) sum(y) numPoints ] [ C ] [ sum(z) ] float mtx[9] = { sumXX, sumXY, sumX, sumXY, sumYY, sumY, sumX, sumY, float(_numPoints), }; float invMtx[9]; mtx3Inverse(invMtx, mtx); _result[0] = invMtx[0]*sumXZ + invMtx[1]*sumYZ + invMtx[2]*sumZ; _result[1] = invMtx[3]*sumXZ + invMtx[4]*sumYZ + invMtx[5]*sumZ; _result[2] = invMtx[6]*sumXZ + invMtx[7]*sumYZ + invMtx[8]*sumZ; } void rgbToHsv(float _hsv[3], const float _rgb[3]) { const float rr = _rgb[0]; const float gg = _rgb[1]; const float bb = _rgb[2]; const float s0 = fstep(bb, gg); const float px = flerp(bb, gg, s0); const float py = flerp(gg, bb, s0); const float pz = flerp(-1.0f, 0.0f, s0); const float pw = flerp(2.0f/3.0f, -1.0f/3.0f, s0); const float s1 = fstep(px, rr); const float qx = flerp(px, rr, s1); const float qy = py; const float qz = flerp(pw, pz, s1); const float qw = flerp(rr, px, s1); const float dd = qx - fmin(qw, qy); const float ee = 1.0e-10f; _hsv[0] = fabs(qz + (qw - qy) / (6.0f * dd + ee) ); _hsv[1] = dd / (qx + ee); _hsv[2] = qx; } void hsvToRgb(float _rgb[3], const float _hsv[3]) { const float hh = _hsv[0]; const float ss = _hsv[1]; const float vv = _hsv[2]; const float px = fabs(ffract(hh + 1.0f ) * 6.0f - 3.0f); const float py = fabs(ffract(hh + 2.0f/3.0f) * 6.0f - 3.0f); const float pz = fabs(ffract(hh + 1.0f/3.0f) * 6.0f - 3.0f); _rgb[0] = vv * flerp(1.0f, fsaturate(px - 1.0f), ss); _rgb[1] = vv * flerp(1.0f, fsaturate(py - 1.0f), ss); _rgb[2] = vv * flerp(1.0f, fsaturate(pz - 1.0f), ss); } } // namespace bx