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256 lines
7.8 KiB
256 lines
7.8 KiB
5 months ago
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/*
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* Copyright 2006 The Android Open Source Project
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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#ifndef _SFloat_DEFINED_
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#define _SFloat_DEFINED_
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#include <stdint.h>
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#include <math.h>
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#define sk_float_sqrt(x) sqrtf(x)
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#define sk_float_sin(x) sinf(x)
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#define sk_float_cos(x) cosf(x)
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#define sk_float_tan(x) tanf(x)
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#define sk_float_floor(x) floorf(x)
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#define sk_float_ceil(x) ceilf(x)
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#define sk_float_abs(x) (float)::fabs(x)
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#define sk_float_floor2int(x) (int)sk_float_floor(x)
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#define sk_float_round2int(x) (int)sk_float_floor((x) + 0.5f)
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#define sk_float_ceil2int(x) (int)sk_float_ceil(x)
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//#define sk_float_rsqrt(x) sqrt(x)
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//#define SK_SUPPORT_DEPRECATED_SCALARROUND
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/** SK_Scalar1 is defined to be 1.0 represented as an float
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*/
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#define SK_Scalar1 (1.0f)
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/** SK_Scalar1 is defined to be 1/2 represented as an float
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*/
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#define SK_ScalarHalf (0.5f)
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/** SK_ScalarInfinity is defined to be infinity as an float
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*/
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#define SK_ScalarInfinity SK_FloatInfinity
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/** SK_ScalarNegativeInfinity is defined to be negative infinity as an float
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*/
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#define SK_ScalarNegativeInfinity SK_FloatNegativeInfinity
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/** SK_ScalarMax is defined to be the largest value representable as an float
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*/
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#define SK_ScalarMax (3.402823466e+38f)
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/** SK_ScalarMin is defined to be the smallest value representable as an float
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*/
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#define SK_ScalarMin (-SK_ScalarMax)
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/** SK_ScalarNaN is defined to be 'Not a Number' as an float
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*/
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#define SK_ScalarNaN SK_FloatNaN
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/** SkIntToScalar(n) returns its integer argument as an float
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*/
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#define SkIntToScalar(n) ((float)(n))
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/** SkFixedToScalar(n) returns its SkFixed argument as an float
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*/
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#define SkFixedToScalar(x) SkFixedToFloat(x)
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/** SFloatToFixed(n) returns its float argument as an SkFixed
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*/
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#define SFloatToFixed(x) SkFloatToFixed(x)
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#define SFloatToFloat(n) (n)
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#ifndef SK_SCALAR_TO_FLOAT_EXCLUDED
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#define SkFloatToScalar(n) (n)
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#endif
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#define SFloatToDouble(n) (double)(n)
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#define SkDoubleToScalar(n) (float)(n)
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/** SFloatFraction(x) returns the signed fractional part of the argument
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*/
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#define SFloatFraction(x) sk_float_mod(x, 1.0f)
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#define SFloatFloorToScalar(x) sk_float_floor(x)
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#define SFloatCeilToScalar(x) sk_float_ceil(x)
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#define SFloatRoundToScalar(x) sk_float_floor((x) + 0.5f)
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#define SFloatFloorToInt(x) sk_float_floor2int(x)
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#define SFloatCeilToInt(x) sk_float_ceil2int(x)
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#define SFloatRoundToInt(x) sk_float_round2int(x)
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#define SFloatTruncToInt(x) static_cast<int>(x)
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#define SK_ANNOTATE_UNPROTECTED_READ(x) (x)
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#define SK_ANNOTATE_UNPROTECTED_WRITE(ptr, val) *(ptr) = (val)
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/** Returns the absolute value of the specified float
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*/
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#define SFloatAbs(x) sk_float_abs(x)
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/** Return x with the sign of y
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*/
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#define SFloatCopySign(x, y) sk_float_copysign(x, y)
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/** Returns the product of two SFloats
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*/
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#define SFloatMul(a, b) ((float)(a) * (b))
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/** Returns the product of two SFloats plus a third float
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*/
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#define SFloatMulAdd(a, b, c) ((float)(a) * (b) + (c))
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/** Returns the quotient of two SFloats (a/b)
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*/
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#define SFloatDiv(a, b) ((float)(a) / (b))
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/** Returns the mod of two SFloats (a mod b)
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*/
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#define SFloatMod(x,y) sk_float_mod(x,y)
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/** Returns the product of the first two arguments, divided by the third argument
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*/
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#define SFloatMulDiv(a, b, c) ((float)(a) * (b) / (c))
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/** Returns the multiplicative inverse of the float (1/x)
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*/
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#define SFloatInvert(x) (SK_Scalar1 / (x))
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#define SFloatFastInvert(x) (SK_Scalar1 / (x))
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/** Returns the square root of the float
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*/
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#define SFloatSqrt(x) sk_float_sqrt(x)
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/** Returns b to the e
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*/
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#define SFloatPow(b, e) sk_float_pow(b, e)
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/** Returns the average of two SFloats (a+b)/2
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*/
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#define SFloatAve(a, b) (((a) + (b)) * 0.5f)
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/** Returns one half of the specified float
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*/
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#define SFloatHalf(a) ((a) * 0.5f)
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#define SK_ScalarSqrt2 1.41421356f
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#define SK_ScalarPI 3.14159265f
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#define SK_ScalarTanPIOver8 0.414213562f
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#define SK_ScalarRoot2Over2 0.707106781f
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#define SkDegreesToRadians(degrees) ((degrees) * (SK_ScalarPI / 180))
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#define SkRadiansToDegrees(radians) ((radians) * (180 / SK_ScalarPI))
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#define SFloatSin(radians) (float)sk_float_sin(radians)
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#define SFloatCos(radians) (float)sk_float_cos(radians)
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#define SFloatTan(radians) (float)sk_float_tan(radians)
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#define SFloatASin(val) (float)sk_float_asin(val)
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#define SFloatACos(val) (float)sk_float_acos(val)
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#define SFloatATan2(y, x) (float)sk_float_atan2(y,x)
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#define SFloatExp(x) (float)sk_float_exp(x)
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#define SFloatLog(x) (float)sk_float_log(x)
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namespace SOUI{
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/**
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* Variant of SFloatRoundToInt, that performs the rounding step (adding 0.5) explicitly using
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* double, to avoid possibly losing the low bit(s) of the answer before calling floor().
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*
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* This routine will likely be slower than SFloatRoundToInt(), and should only be used when the
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* extra precision is known to be valuable.
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*
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* In particular, this catches the following case:
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* float x = 0.49999997;
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* int ix = SFloatRoundToInt(x);
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* SASSERT(0 == ix); // <--- fails
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* ix = SkDScalarRoundToInt(x);
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* SASSERT(0 == ix); // <--- succeeds
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*/
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inline int SkDScalarRoundToInt(float x) {
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double xx = x;
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xx += 0.5;
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return (int)floor(xx);
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}
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inline float SkMaxScalar(float a, float b) { return a > b ? a : b; }
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inline float SkMinScalar(float a, float b) { return a < b ? a : b; }
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/** SFloatIsNaN(n) returns true if argument is not a number
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*/
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inline bool SFloatIsNaN(float x) { return x != x; }
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/** Returns true if x is not NaN and not infinite */
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inline bool SFloatIsFinite(float x) {
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// We rely on the following behavior of infinities and nans
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// 0 * finite --> 0
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// 0 * infinity --> NaN
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// 0 * NaN --> NaN
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float prod = x * 0;
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// At this point, prod will either be NaN or 0
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// Therefore we can return (prod == prod) or (0 == prod).
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return prod == prod;
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}
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/** Returns the value pinned between 0 and max inclusive
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*/
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inline float SFloatClampMax(float x, float max) {
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return x < 0 ? 0 : x > max ? max : x;
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}
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/** Returns the value pinned between min and max inclusive
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*/
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inline float SFloatPin(float x, float min, float max) {
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return x < min ? min : x > max ? max : x;
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}
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/** Returns the specified float squared (x*x)
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*/
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inline float SFloatSquare(float x) { return x * x; }
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inline bool SFloatIsInt(float x) {
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return x == (float)(int)x;
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}
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/**
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* Returns -1 || 0 || 1 depending on the sign of value:
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* -1 if x < 0
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* 0 if x == 0
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* 1 if x > 0
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*/
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inline int SFloatSignAsInt(float x) {
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return x < 0 ? -1 : (x > 0);
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}
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// Scalar result version of above
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inline float SFloatSignAsScalar(float x) {
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return x < 0 ? -SK_Scalar1 : ((x > 0) ? SK_Scalar1 : 0);
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}
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#define SK_ScalarNearlyZero (SK_Scalar1 / (1 << 12))
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inline bool SFloatNearlyZero(float x,
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float tolerance = SK_ScalarNearlyZero) {
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SASSERT(tolerance >= 0);
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return SFloatAbs(x) <= tolerance;
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}
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inline bool SFloatNearlyEqual(float x, float y,
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float tolerance = SK_ScalarNearlyZero) {
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SASSERT(tolerance >= 0);
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return SFloatAbs(x-y) <= tolerance;
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}
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/** Linearly interpolate between A and B, based on t.
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If t is 0, return A
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If t is 1, return B
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else interpolate.
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t must be [0..SK_Scalar1]
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*/
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inline float SFloatInterp(float A, float B, float t) {
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SASSERT(t >= 0 && t <= SK_Scalar1);
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return A + (B - A) * t;
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}
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/*
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* Helper to compare an array of scalars.
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*/
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inline bool SFloatsEqual(const float a[], const float b[], int n) {
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SASSERT(n >= 0);
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for (int i = 0; i < n; ++i) {
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if (a[i] != b[i]) {
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return false;
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}
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}
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return true;
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}
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}//end of namespace SOUI
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#endif
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