/*------------------------------------------------------------------------- * drawElements Base Portability Library * ------------------------------------- * * Copyright 2014 The Android Open Source Project * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * *//*! * \file * \brief Basic mathematical operations. *//*--------------------------------------------------------------------*/ #include "deMath.h" #include "deInt32.h" #if (DE_COMPILER == DE_COMPILER_MSC) # include <float.h> #endif #if (DE_COMPILER == DE_COMPILER_GCC) || (DE_COMPILER == DE_COMPILER_CLANG) # include <fenv.h> #endif deRoundingMode deGetRoundingMode (void) { #if (DE_COMPILER == DE_COMPILER_MSC) unsigned int status = 0; int ret; ret = _controlfp_s(&status, 0, 0); DE_ASSERT(ret == 0); switch (status & _MCW_RC) { case _RC_CHOP: return DE_ROUNDINGMODE_TO_ZERO; case _RC_UP: return DE_ROUNDINGMODE_TO_POSITIVE_INF; case _RC_DOWN: return DE_ROUNDINGMODE_TO_NEGATIVE_INF; case _RC_NEAR: return DE_ROUNDINGMODE_TO_NEAREST; default: return DE_ROUNDINGMODE_LAST; } #elif (DE_COMPILER == DE_COMPILER_GCC) || (DE_COMPILER == DE_COMPILER_CLANG) int mode = fegetround(); switch (mode) { case FE_TOWARDZERO: return DE_ROUNDINGMODE_TO_ZERO; case FE_UPWARD: return DE_ROUNDINGMODE_TO_POSITIVE_INF; case FE_DOWNWARD: return DE_ROUNDINGMODE_TO_NEGATIVE_INF; case FE_TONEAREST: return DE_ROUNDINGMODE_TO_NEAREST; default: return DE_ROUNDINGMODE_LAST; } #else # error Implement deGetRoundingMode(). #endif } deBool deSetRoundingMode (deRoundingMode mode) { #if (DE_COMPILER == DE_COMPILER_MSC) unsigned int flag = 0; unsigned int oldState; int ret; switch (mode) { case DE_ROUNDINGMODE_TO_ZERO: flag = _RC_CHOP; break; case DE_ROUNDINGMODE_TO_POSITIVE_INF: flag = _RC_UP; break; case DE_ROUNDINGMODE_TO_NEGATIVE_INF: flag = _RC_DOWN; break; case DE_ROUNDINGMODE_TO_NEAREST: flag = _RC_NEAR; break; default: DE_ASSERT(DE_FALSE); } ret = _controlfp_s(&oldState, flag, _MCW_RC); return ret == 0; #elif (DE_COMPILER == DE_COMPILER_GCC) || (DE_COMPILER == DE_COMPILER_CLANG) int flag = 0; int ret; switch (mode) { case DE_ROUNDINGMODE_TO_ZERO: flag = FE_TOWARDZERO; break; case DE_ROUNDINGMODE_TO_POSITIVE_INF: flag = FE_UPWARD; break; case DE_ROUNDINGMODE_TO_NEGATIVE_INF: flag = FE_DOWNWARD; break; case DE_ROUNDINGMODE_TO_NEAREST: flag = FE_TONEAREST; break; default: DE_ASSERT(DE_FALSE); } ret = fesetround(flag); return ret == 0; #else # error Implement deSetRoundingMode(). #endif } double deFractExp (double x, int* exponent) { if (deIsInf(x)) { *exponent = 0; return x; } else { int tmpExp = 0; double fract = frexp(x, &tmpExp); *exponent = tmpExp - 1; return fract * 2.0; } } /* We could use frexpf, if available. */ float deFloatFractExp (float x, int* exponent) { return (float)deFractExp(x, exponent); } double deRoundEven (double a) { double integer; double fract = modf(a, &integer); if (fabs(fract) == 0.5) return 2.0 * deRound(a / 2.0); return deRound(a); } float deInt32ToFloatRoundToNegInf (deInt32 x) { /* \note Sign bit is separate so the range is symmetric */ if (x >= -0xFFFFFF && x <= 0xFFFFFF) { /* 24 bits are representable (23 mantissa + 1 implicit). */ return (float)x; } else if (x != -0x7FFFFFFF - 1) { /* we are losing bits */ const int exponent = 31 - deClz32((deUint32)deAbs32(x)); const int numLostBits = exponent - 23; const deUint32 lostMask = deBitMask32(0, numLostBits); DE_ASSERT(numLostBits > 0); if (x > 0) { /* Mask out lost bits to floor to a representable value */ return (float)(deInt32)(~lostMask & (deUint32)x); } else if ((lostMask & (deUint32)-x) == 0u) { /* this was a representable value */ DE_ASSERT( (deInt32)(float)x == x ); return (float)x; } else { /* not representable, choose the next lower */ const float nearestHigher = (float)-(deInt32)(~lostMask & (deUint32)-x); const float oneUlp = (float)(1u << (deUint32)numLostBits); const float nearestLower = nearestHigher - oneUlp; /* check sanity */ DE_ASSERT((deInt32)(float)nearestHigher > (deInt32)(float)nearestLower); return nearestLower; } } else return -(float)0x80000000u; } float deInt32ToFloatRoundToPosInf (deInt32 x) { if (x == -0x7FFFFFFF - 1) return -(float)0x80000000u; else return -deInt32ToFloatRoundToNegInf(-x); }