#ifndef WTF_MathExtras_h
#define WTF_MathExtras_h
#include <algorithm>
#include <cmath>
#include <float.h>
#include <limits>
#include <stdint.h>
#include <stdlib.h>
#include <wtf/StdLibExtras.h>
#if OS(SOLARIS)
#include <ieeefp.h>
#endif
#if OS(OPENBSD)
#include <sys/types.h>
#include <machine/ieee.h>
#endif
#ifndef M_PI
const double piDouble = 3.14159265358979323846;
const float piFloat = 3.14159265358979323846f;
#else
const double piDouble = M_PI;
const float piFloat = static_cast<float>(M_PI);
#endif
#ifndef M_PI_2
const double piOverTwoDouble = 1.57079632679489661923;
const float piOverTwoFloat = 1.57079632679489661923f;
#else
const double piOverTwoDouble = M_PI_2;
const float piOverTwoFloat = static_cast<float>(M_PI_2);
#endif
#ifndef M_PI_4
const double piOverFourDouble = 0.785398163397448309616;
const float piOverFourFloat = 0.785398163397448309616f;
#else
const double piOverFourDouble = M_PI_4;
const float piOverFourFloat = static_cast<float>(M_PI_4);
#endif
#if OS(DARWIN)
inline double wtf_ceil(double x) { return copysign(ceil(x), x); }
#define ceil(x) wtf_ceil(x)
#endif
#if OS(SOLARIS)
namespace std {
#ifndef isfinite
inline bool isfinite(double x) { return finite(x) && !isnand(x); }
#endif
#ifndef signbit
inline bool signbit(double x) { return copysign(1.0, x) < 0; }
#endif
#ifndef isinf
inline bool isinf(double x) { return !finite(x) && !isnand(x); }
#endif
}
#endif
#if OS(OPENBSD)
namespace std {
#ifndef isfinite
inline bool isfinite(double x) { return finite(x); }
#endif
#ifndef signbit
inline bool signbit(double x) { struct ieee_double *p = (struct ieee_double *)&x; return p->dbl_sign; }
#endif
}
#endif
#if COMPILER(MSVC)
extern "C" inline double wtf_atan2(double x, double y)
{
double posInf = std::numeric_limits<double>::infinity();
double negInf = -std::numeric_limits<double>::infinity();
double nan = std::numeric_limits<double>::quiet_NaN();
double result = nan;
if (x == posInf && y == posInf)
result = piOverFourDouble;
else if (x == posInf && y == negInf)
result = 3 * piOverFourDouble;
else if (x == negInf && y == posInf)
result = -piOverFourDouble;
else if (x == negInf && y == negInf)
result = -3 * piOverFourDouble;
else
result = ::atan2(x, y);
return result;
}
extern "C" inline double wtf_fmod(double x, double y) { return (!std::isinf(x) && std::isinf(y)) ? x : fmod(x, y); }
extern "C" inline double wtf_pow(double x, double y) { return y == 0 ? 1 : pow(x, y); }
#define atan2(x, y) wtf_atan2(x, y)
#define fmod(x, y) wtf_fmod(x, y)
#define pow(x, y) wtf_pow(x, y)
#endif // COMPILER(MSVC)
inline double deg2rad(double d) { return d * piDouble / 180.0; }
inline double rad2deg(double r) { return r * 180.0 / piDouble; }
inline double deg2grad(double d) { return d * 400.0 / 360.0; }
inline double grad2deg(double g) { return g * 360.0 / 400.0; }
inline double turn2deg(double t) { return t * 360.0; }
inline double deg2turn(double d) { return d / 360.0; }
inline double rad2grad(double r) { return r * 200.0 / piDouble; }
inline double grad2rad(double g) { return g * piDouble / 200.0; }
inline float deg2rad(float d) { return d * piFloat / 180.0f; }
inline float rad2deg(float r) { return r * 180.0f / piFloat; }
inline float deg2grad(float d) { return d * 400.0f / 360.0f; }
inline float grad2deg(float g) { return g * 360.0f / 400.0f; }
inline float turn2deg(float t) { return t * 360.0f; }
inline float deg2turn(float d) { return d / 360.0f; }
inline float rad2grad(float r) { return r * 200.0f / piFloat; }
inline float grad2rad(float g) { return g * piFloat / 200.0f; }
template<typename T> inline T defaultMinimumForClamp() { return std::numeric_limits<T>::min(); }
template<> inline float defaultMinimumForClamp() { return -std::numeric_limits<float>::max(); }
template<> inline double defaultMinimumForClamp() { return -std::numeric_limits<double>::max(); }
template<typename T> inline T defaultMaximumForClamp() { return std::numeric_limits<T>::max(); }
template<typename T> inline T clampTo(double value, T min = defaultMinimumForClamp<T>(), T max = defaultMaximumForClamp<T>())
{
if (value >= static_cast<double>(max))
return max;
if (value <= static_cast<double>(min))
return min;
return static_cast<T>(value);
}
template<> inline long long int clampTo(double, long long int, long long int);
inline int clampToInteger(double value)
{
return clampTo<int>(value);
}
inline unsigned clampToUnsigned(double value)
{
return clampTo<unsigned>(value);
}
inline float clampToFloat(double value)
{
return clampTo<float>(value);
}
inline int clampToPositiveInteger(double value)
{
return clampTo<int>(value, 0);
}
inline int clampToInteger(float value)
{
return clampTo<int>(value);
}
inline int clampToInteger(unsigned x)
{
const unsigned intMax = static_cast<unsigned>(std::numeric_limits<int>::max());
if (x >= intMax)
return std::numeric_limits<int>::max();
return static_cast<int>(x);
}
inline bool isWithinIntRange(float x)
{
return x > static_cast<float>(std::numeric_limits<int>::min()) && x < static_cast<float>(std::numeric_limits<int>::max());
}
template<typename T> inline bool hasOneBitSet(T value)
{
return !((value - 1) & value) && value;
}
template<typename T> inline bool hasZeroOrOneBitsSet(T value)
{
return !((value - 1) & value);
}
template<typename T> inline bool hasTwoOrMoreBitsSet(T value)
{
return !hasZeroOrOneBitsSet(value);
}
template <typename T> inline unsigned getLSBSet(T value)
{
unsigned result = 0;
while (value >>= 1)
++result;
return result;
}
template<typename T> inline T divideRoundedUp(T a, T b)
{
return (a + b - 1) / b;
}
template<typename T> inline T timesThreePlusOneDividedByTwo(T value)
{
return value + (value >> 1) + (value & 1);
}
template<typename T> inline bool isNotZeroAndOrdered(T value)
{
return value > 0.0 || value < 0.0;
}
template<typename T> inline bool isZeroOrUnordered(T value)
{
return !isNotZeroAndOrdered(value);
}
template<typename T> inline bool isGreaterThanNonZeroPowerOfTwo(T value, unsigned power)
{
return !!((value >> 1) >> (power - 1));
}
#ifndef UINT64_C
#if COMPILER(MSVC)
#define UINT64_C(c) c ## ui64
#else
#define UINT64_C(c) c ## ull
#endif
#endif
#if COMPILER(MINGW64) && (!defined(__MINGW64_VERSION_RC) || __MINGW64_VERSION_RC < 1)
inline double wtf_pow(double x, double y)
{
if ((x == 0.0 || std::isinf(x)) && std::isfinite(y)) {
double f;
if (modf(y, &f) != 0.0)
return ((x == 0.0) ^ (y > 0.0)) ? std::numeric_limits<double>::infinity() : 0.0;
}
if (x == 2.0) {
int yInt = static_cast<int>(y);
if (y == yInt)
return ldexp(1.0, yInt);
}
return pow(x, y);
}
#define pow(x, y) wtf_pow(x, y)
#endif // COMPILER(MINGW64) && (!defined(__MINGW64_VERSION_RC) || __MINGW64_VERSION_RC < 1)
inline void decomposeDouble(double number, bool& sign, int32_t& exponent, uint64_t& mantissa)
{
ASSERT(std::isfinite(number));
sign = std::signbit(number);
uint64_t bits = WTF::bitwise_cast<uint64_t>(number);
exponent = (static_cast<int32_t>(bits >> 52) & 0x7ff) - 0x3ff;
mantissa = bits & 0xFFFFFFFFFFFFFull;
if (exponent == -0x3ff)
exponent = mantissa ? -0x3fe : 0;
else
mantissa |= 0x10000000000000ull;
}
inline void doubleToInteger(double d, unsigned long long& value)
{
if (std::isnan(d) || std::isinf(d))
value = 0;
else {
double fmodValue = fmod(trunc(d), std::numeric_limits<unsigned long long>::max() + 1.0);
if (fmodValue >= 0) {
value = static_cast<unsigned long long>(fmodValue);
} else {
unsigned long long fmodValueInUnsignedLongLong = static_cast<unsigned long long>(-fmodValue);
value = std::numeric_limits<unsigned long long>::max() - fmodValueInUnsignedLongLong + 1;
}
}
}
namespace WTF {
inline uint32_t roundUpToPowerOfTwo(uint32_t v)
{
v--;
v |= v >> 1;
v |= v >> 2;
v |= v >> 4;
v |= v >> 8;
v |= v >> 16;
v++;
return v;
}
inline unsigned fastLog2(unsigned i)
{
unsigned log2 = 0;
if (i & (i - 1))
log2 += 1;
if (i >> 16)
log2 += 16, i >>= 16;
if (i >> 8)
log2 += 8, i >>= 8;
if (i >> 4)
log2 += 4, i >>= 4;
if (i >> 2)
log2 += 2, i >>= 2;
if (i >> 1)
log2 += 1;
return log2;
}
}
#endif // #ifndef WTF_MathExtras_h