8 #ifndef SkScalar_DEFINED
9 #define SkScalar_DEFINED
11 #include "../private/SkFloatingPoint.h"
14 #define SK_SCALAR_IS_DOUBLE 0
15 #undef SK_SCALAR_IS_FLOAT
16 #define SK_SCALAR_IS_FLOAT 1
19 #if SK_SCALAR_IS_FLOAT
21 typedef float SkScalar;
23 #define SK_Scalar1 1.0f
24 #define SK_ScalarHalf 0.5f
25 #define SK_ScalarSqrt2 1.41421356f
26 #define SK_ScalarPI 3.14159265f
27 #define SK_ScalarTanPIOver8 0.414213562f
28 #define SK_ScalarRoot2Over2 0.707106781f
29 #define SK_ScalarMax 3.402823466e+38f
30 #define SK_ScalarInfinity SK_FloatInfinity
31 #define SK_ScalarNegativeInfinity SK_FloatNegativeInfinity
32 #define SK_ScalarNaN SK_FloatNaN
34 #define SkScalarFloorToScalar(x) sk_float_floor(x)
35 #define SkScalarCeilToScalar(x) sk_float_ceil(x)
36 #define SkScalarRoundToScalar(x) sk_float_floor((x) + 0.5f)
37 #define SkScalarTruncToScalar(x) sk_float_trunc(x)
39 #define SkScalarFloorToInt(x) sk_float_floor2int(x)
40 #define SkScalarCeilToInt(x) sk_float_ceil2int(x)
41 #define SkScalarRoundToInt(x) sk_float_round2int(x)
43 #define SkScalarAbs(x) sk_float_abs(x)
44 #define SkScalarCopySign(x, y) sk_float_copysign(x, y)
45 #define SkScalarMod(x, y) sk_float_mod(x,y)
46 #define SkScalarSqrt(x) sk_float_sqrt(x)
47 #define SkScalarPow(b, e) sk_float_pow(b, e)
49 #define SkScalarSin(radians) (float)sk_float_sin(radians)
50 #define SkScalarCos(radians) (float)sk_float_cos(radians)
51 #define SkScalarTan(radians) (float)sk_float_tan(radians)
52 #define SkScalarASin(val) (float)sk_float_asin(val)
53 #define SkScalarACos(val) (float)sk_float_acos(val)
54 #define SkScalarATan2(y, x) (float)sk_float_atan2(y,x)
55 #define SkScalarExp(x) (float)sk_float_exp(x)
56 #define SkScalarLog(x) (float)sk_float_log(x)
57 #define SkScalarLog2(x) (float)sk_float_log2(x)
59 #else // SK_SCALAR_IS_DOUBLE
61 typedef double SkScalar;
63 #define SK_Scalar1 1.0
64 #define SK_ScalarHalf 0.5
65 #define SK_ScalarSqrt2 1.414213562373095
66 #define SK_ScalarPI 3.141592653589793
67 #define SK_ScalarTanPIOver8 0.4142135623731
68 #define SK_ScalarRoot2Over2 0.70710678118655
69 #define SK_ScalarMax 1.7976931348623157+308
70 #define SK_ScalarInfinity SK_DoubleInfinity
71 #define SK_ScalarNegativeInfinity SK_DoubleNegativeInfinity
72 #define SK_ScalarNaN SK_DoubleNaN
74 #define SkScalarFloorToScalar(x) floor(x)
75 #define SkScalarCeilToScalar(x) ceil(x)
76 #define SkScalarRoundToScalar(x) floor((x) + 0.5)
77 #define SkScalarTruncToScalar(x) trunc(x)
79 #define SkScalarFloorToInt(x) (int)floor(x)
80 #define SkScalarCeilToInt(x) (int)ceil(x)
81 #define SkScalarRoundToInt(x) (int)floor((x) + 0.5)
83 #define SkScalarAbs(x) abs(x)
84 #define SkScalarCopySign(x, y) copysign(x, y)
85 #define SkScalarMod(x, y) fmod(x,y)
86 #define SkScalarSqrt(x) sqrt(x)
87 #define SkScalarPow(b, e) pow(b, e)
89 #define SkScalarSin(radians) sin(radians)
90 #define SkScalarCos(radians) cos(radians)
91 #define SkScalarTan(radians) tan(radians)
92 #define SkScalarASin(val) asin(val)
93 #define SkScalarACos(val) acos(val)
94 #define SkScalarATan2(y, x) atan2(y,x)
95 #define SkScalarExp(x) exp(x)
96 #define SkScalarLog(x) log(x)
97 #define SkScalarLog2(x) log2(x)
103 #define SkIntToScalar(x) static_cast<SkScalar>(x)
104 #define SkIntToFloat(x) static_cast<float>(x)
105 #define SkScalarTruncToInt(x) static_cast<int>(x)
107 #define SkScalarToFloat(x) static_cast<float>(x)
108 #define SkFloatToScalar(x) static_cast<SkScalar>(x)
109 #define SkScalarToDouble(x) static_cast<double>(x)
110 #define SkDoubleToScalar(x) static_cast<SkScalar>(x)
112 #define SK_ScalarMin (-SK_ScalarMax)
114 static inline bool SkScalarIsNaN(SkScalar x) {
return x != x; }
118 static inline bool SkScalarIsFinite(SkScalar x) {
123 SkScalar prod = x * 0;
125 return !SkScalarIsNaN(prod);
128 static inline bool SkScalarsAreFinite(SkScalar a, SkScalar b) {
133 return !SkScalarIsNaN(prod);
136 static inline bool SkScalarsAreFinite(
const SkScalar array[],
int count) {
138 for (
int i = 0; i < count; ++i) {
142 return !SkScalarIsNaN(prod);
159 static inline int SkDScalarRoundToInt(SkScalar x) {
162 return (
int)floor(xx);
166 static inline SkScalar SkScalarFraction(SkScalar x) {
167 return x - SkScalarTruncToScalar(x);
170 static inline SkScalar SkScalarClampMax(SkScalar x, SkScalar max) {
172 x = SkTMax<SkScalar>(x, 0);
176 static inline SkScalar SkScalarPin(SkScalar x, SkScalar min, SkScalar max) {
177 return SkTPin(x, min, max);
180 SkScalar SkScalarSinCos(SkScalar radians, SkScalar* cosValue);
182 static inline SkScalar SkScalarSquare(SkScalar x) {
return x * x; }
184 #define SkScalarMul(a, b) ((SkScalar)(a) * (b))
185 #define SkScalarMulAdd(a, b, c) ((SkScalar)(a) * (b) + (c))
186 #define SkScalarMulDiv(a, b, c) ((SkScalar)(a) * (b) / (c))
187 #define SkScalarInvert(x) (SK_Scalar1 / (x))
188 #define SkScalarFastInvert(x) (SK_Scalar1 / (x))
189 #define SkScalarAve(a, b) (((a) + (b)) * SK_ScalarHalf)
190 #define SkScalarHalf(a) ((a) * SK_ScalarHalf)
192 #define SkDegreesToRadians(degrees) ((degrees) * (SK_ScalarPI / 180))
193 #define SkRadiansToDegrees(radians) ((radians) * (180 / SK_ScalarPI))
195 static inline SkScalar SkMaxScalar(SkScalar a, SkScalar b) {
return a > b ? a : b; }
196 static inline SkScalar SkMinScalar(SkScalar a, SkScalar b) {
return a < b ? a : b; }
198 static inline bool SkScalarIsInt(SkScalar x) {
199 return x == (SkScalar)(
int)x;
208 static inline int SkScalarSignAsInt(SkScalar x) {
209 return x < 0 ? -1 : (x > 0);
213 static inline SkScalar SkScalarSignAsScalar(SkScalar x) {
214 return x < 0 ? -SK_Scalar1 : ((x > 0) ? SK_Scalar1 : 0);
217 #define SK_ScalarNearlyZero (SK_Scalar1 / (1 << 12))
219 static inline bool SkScalarNearlyZero(SkScalar x,
220 SkScalar tolerance = SK_ScalarNearlyZero) {
221 SkASSERT(tolerance >= 0);
222 return SkScalarAbs(x) <= tolerance;
225 static inline bool SkScalarNearlyEqual(SkScalar x, SkScalar y,
226 SkScalar tolerance = SK_ScalarNearlyZero) {
227 SkASSERT(tolerance >= 0);
228 return SkScalarAbs(x-y) <= tolerance;
237 static inline SkScalar SkScalarInterp(SkScalar A, SkScalar B, SkScalar t) {
238 SkASSERT(t >= 0 && t <= SK_Scalar1);
239 return A + (B - A) * t;
252 SkScalar SkScalarInterpFunc(SkScalar searchKey,
const SkScalar keys[],
253 const SkScalar values[],
int length);
258 static inline bool SkScalarsEqual(
const SkScalar a[],
const SkScalar b[],
int n) {
260 for (
int i = 0; i < n; ++i) {