1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
|
/*
* Copyright 2006 The Android Open Source Project
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#ifndef SkFixed_DEFINED
#define SkFixed_DEFINED
#include "SkTypes.h"
/** \file SkFixed.h
Types and macros for 16.16 fixed point
*/
/** 32 bit signed integer used to represent fractions values with 16 bits to the right of the decimal point
*/
typedef int32_t SkFixed;
#define SK_Fixed1 (1 << 16)
#define SK_FixedHalf (1 << 15)
#define SK_FixedMax (0x7FFFFFFF)
#define SK_FixedMin (-SK_FixedMax)
#define SK_FixedNaN ((int) 0x80000000)
#define SK_FixedPI (0x3243F)
#define SK_FixedSqrt2 (92682)
#define SK_FixedTanPIOver8 (0x6A0A)
#define SK_FixedRoot2Over2 (0xB505)
#ifdef SK_CAN_USE_FLOAT
#define SkFixedToFloat(x) ((x) * 1.5258789e-5f)
#if 1
#define SkFloatToFixed(x) ((SkFixed)((x) * SK_Fixed1))
#else
// pins over/under flows to max/min int32 (slower than just a cast)
static inline SkFixed SkFloatToFixed(float x) {
int64_t n = x * SK_Fixed1;
return (SkFixed)n;
}
#endif
#define SkFixedToDouble(x) ((x) * 1.5258789e-5)
#define SkDoubleToFixed(x) ((SkFixed)((x) * SK_Fixed1))
#endif
/** 32 bit signed integer used to represent fractions values with 30 bits to the right of the decimal point
*/
typedef int32_t SkFract;
#define SK_Fract1 (1 << 30)
#define Sk_FracHalf (1 << 29)
#define SK_FractPIOver180 (0x11DF46A)
#ifdef SK_CAN_USE_FLOAT
#define SkFractToFloat(x) ((float)(x) * 0.00000000093132257f)
#define SkFloatToFract(x) ((SkFract)((x) * SK_Fract1))
#endif
/** Converts an integer to a SkFixed, asserting that the result does not overflow
a 32 bit signed integer
*/
#ifdef SK_DEBUG
inline SkFixed SkIntToFixed(int n)
{
SkASSERT(n >= -32768 && n <= 32767);
return n << 16;
}
#else
// force the cast to SkFixed to ensure that the answer is signed (like the debug version)
#define SkIntToFixed(n) (SkFixed)((n) << 16)
#endif
/** Converts a SkFixed to a SkFract, asserting that the result does not overflow
a 32 bit signed integer
*/
#ifdef SK_DEBUG
inline SkFract SkFixedToFract(SkFixed x)
{
SkASSERT(x >= (-2 << 16) && x <= (2 << 16) - 1);
return x << 14;
}
#else
#define SkFixedToFract(x) ((x) << 14)
#endif
/** Returns the signed fraction of a SkFixed
*/
inline SkFixed SkFixedFraction(SkFixed x)
{
SkFixed mask = x >> 31 << 16;
return (x & 0xFFFF) | mask;
}
/** Converts a SkFract to a SkFixed
*/
#define SkFractToFixed(x) ((x) >> 14)
#define SkFixedRoundToInt(x) (((x) + SK_FixedHalf) >> 16)
#define SkFixedCeilToInt(x) (((x) + SK_Fixed1 - 1) >> 16)
#define SkFixedFloorToInt(x) ((x) >> 16)
#define SkFixedRoundToFixed(x) (((x) + SK_FixedHalf) & 0xFFFF0000)
#define SkFixedCeilToFixed(x) (((x) + SK_Fixed1 - 1) & 0xFFFF0000)
#define SkFixedFloorToFixed(x) ((x) & 0xFFFF0000)
// DEPRECATED
#define SkFixedFloor(x) SkFixedFloorToInt(x)
#define SkFixedCeil(x) SkFixedCeilToInt(x)
#define SkFixedRound(x) SkFixedRoundToInt(x)
#define SkFixedAbs(x) SkAbs32(x)
#define SkFixedAve(a, b) (((a) + (b)) >> 1)
SkFixed SkFixedMul_portable(SkFixed, SkFixed);
SkFract SkFractMul_portable(SkFract, SkFract);
inline SkFixed SkFixedSquare_portable(SkFixed value)
{
uint32_t a = SkAbs32(value);
uint32_t ah = a >> 16;
uint32_t al = a & 0xFFFF;
SkFixed result = ah * a + al * ah + (al * al >> 16);
if (result >= 0)
return result;
else // Overflow.
return SK_FixedMax;
}
#define SkFixedDiv(numer, denom) SkDivBits(numer, denom, 16)
SkFixed SkFixedDivInt(int32_t numer, int32_t denom);
SkFixed SkFixedMod(SkFixed numer, SkFixed denom);
#define SkFixedInvert(n) SkDivBits(SK_Fixed1, n, 16)
SkFixed SkFixedFastInvert(SkFixed n);
#define SkFixedSqrt(n) SkSqrtBits(n, 23)
SkFixed SkFixedMean(SkFixed a, SkFixed b); //*< returns sqrt(x*y)
int SkFixedMulCommon(SkFixed, int , int bias); // internal used by SkFixedMulFloor, SkFixedMulCeil, SkFixedMulRound
#define SkFractDiv(numer, denom) SkDivBits(numer, denom, 30)
#define SkFractSqrt(n) SkSqrtBits(n, 30)
SkFixed SkFixedSinCos(SkFixed radians, SkFixed* cosValueOrNull);
#define SkFixedSin(radians) SkFixedSinCos(radians, NULL)
inline SkFixed SkFixedCos(SkFixed radians)
{
SkFixed cosValue;
(void)SkFixedSinCos(radians, &cosValue);
return cosValue;
}
SkFixed SkFixedTan(SkFixed radians);
SkFixed SkFixedASin(SkFixed);
SkFixed SkFixedACos(SkFixed);
SkFixed SkFixedATan2(SkFixed y, SkFixed x);
SkFixed SkFixedExp(SkFixed);
SkFixed SkFixedLog(SkFixed);
#define SK_FixedNearlyZero (SK_Fixed1 >> 12)
inline bool SkFixedNearlyZero(SkFixed x, SkFixed tolerance = SK_FixedNearlyZero)
{
SkASSERT(tolerance > 0);
return SkAbs32(x) < tolerance;
}
//////////////////////////////////////////////////////////////////////////////////////////////////////
// Now look for ASM overrides for our portable versions (should consider putting this in its own file)
#ifdef SkLONGLONG
inline SkFixed SkFixedMul_longlong(SkFixed a, SkFixed b)
{
return (SkFixed)((SkLONGLONG)a * b >> 16);
}
inline SkFract SkFractMul_longlong(SkFract a, SkFract b)
{
return (SkFixed)((SkLONGLONG)a * b >> 30);
}
inline SkFixed SkFixedSquare_longlong(SkFixed value)
{
return (SkFixed)((SkLONGLONG)value * value >> 16);
}
#define SkFixedMul(a,b) SkFixedMul_longlong(a,b)
#define SkFractMul(a,b) SkFractMul_longlong(a,b)
#define SkFixedSquare(a) SkFixedSquare_longlong(a)
#endif
#if defined(__arm__) && !defined(__thumb__)
/* This guy does not handle NaN or other obscurities, but is faster than
than (int)(x*65536) when we only have software floats
*/
inline SkFixed SkFloatToFixed_arm(float x)
{
register int32_t y, z;
asm("movs %1, %3, lsl #1 \n"
"mov %2, #0x8E \n"
"sub %1, %2, %1, lsr #24 \n"
"mov %2, %3, lsl #8 \n"
"orr %2, %2, #0x80000000 \n"
"mov %1, %2, lsr %1 \n"
"rsbcs %1, %1, #0 \n"
: "=r"(x), "=&r"(y), "=&r"(z)
: "r"(x)
: "cc"
);
return y;
}
inline SkFixed SkFixedMul_arm(SkFixed x, SkFixed y)
{
register int32_t t;
asm("smull %0, %2, %1, %3 \n"
"mov %0, %0, lsr #16 \n"
"orr %0, %0, %2, lsl #16 \n"
: "=r"(x), "=&r"(y), "=r"(t)
: "r"(x), "1"(y)
:
);
return x;
}
inline SkFixed SkFixedMulAdd_arm(SkFixed x, SkFixed y, SkFixed a)
{
register int32_t t;
asm("smull %0, %3, %1, %4 \n"
"add %0, %2, %0, lsr #16 \n"
"add %0, %0, %3, lsl #16 \n"
: "=r"(x), "=&r"(y), "=&r"(a), "=r"(t)
: "%r"(x), "1"(y), "2"(a)
:
);
return x;
}
inline SkFixed SkFractMul_arm(SkFixed x, SkFixed y)
{
register int32_t t;
asm("smull %0, %2, %1, %3 \n"
"mov %0, %0, lsr #30 \n"
"orr %0, %0, %2, lsl #2 \n"
: "=r"(x), "=&r"(y), "=r"(t)
: "r"(x), "1"(y)
:
);
return x;
}
#undef SkFixedMul
#undef SkFractMul
#define SkFixedMul(x, y) SkFixedMul_arm(x, y)
#define SkFractMul(x, y) SkFractMul_arm(x, y)
#define SkFixedMulAdd(x, y, a) SkFixedMulAdd_arm(x, y, a)
#undef SkFloatToFixed
#define SkFloatToFixed(x) SkFloatToFixed_arm(x)
#endif
/////////////////////// Now define our macros to the portable versions if they weren't overridden
#ifndef SkFixedSquare
#define SkFixedSquare(x) SkFixedSquare_portable(x)
#endif
#ifndef SkFixedMul
#define SkFixedMul(x, y) SkFixedMul_portable(x, y)
#endif
#ifndef SkFractMul
#define SkFractMul(x, y) SkFractMul_portable(x, y)
#endif
#ifndef SkFixedMulAdd
#define SkFixedMulAdd(x, y, a) (SkFixedMul(x, y) + (a))
#endif
#endif
|
