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1 /*
2  * Copyright (C) 2008 The Android Open Source Project
3  *
4  * Licensed under the Apache License, Version 2.0 (the "License");
5  * you may not use this file except in compliance with the License.
6  * You may obtain a copy of the License at
7  *
8  *      http://www.apache.org/licenses/LICENSE-2.0
9  *
10  * Unless required by applicable law or agreed to in writing, software
11  * distributed under the License is distributed on an "AS IS" BASIS,
12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13  * See the License for the specific language governing permissions and
14  * limitations under the License.
15  */
16 
17 #ifndef SkFloatBits_DEFINED
18 #define SkFloatBits_DEFINED
19 
20 #include "SkTypes.h"
21 
22 /** Convert a sign-bit int (i.e. float interpreted as int) into a 2s compliement
23     int. This also converts -0 (0x80000000) to 0. Doing this to a float allows
24     it to be compared using normal C operators (<, <=, etc.)
25 */
SkSignBitTo2sCompliment(int32_t x)26 static inline int32_t SkSignBitTo2sCompliment(int32_t x) {
27     if (x < 0) {
28         x &= 0x7FFFFFFF;
29         x = -x;
30     }
31     return x;
32 }
33 
34 /** Convert a 2s compliment int to a sign-bit (i.e. int interpreted as float).
35     This undoes the result of SkSignBitTo2sCompliment().
36  */
Sk2sComplimentToSignBit(int32_t x)37 static inline int32_t Sk2sComplimentToSignBit(int32_t x) {
38     int sign = x >> 31;
39     // make x positive
40     x = (x ^ sign) - sign;
41     // set the sign bit as needed
42     x |= sign << 31;
43     return x;
44 }
45 
46 /** Given the bit representation of a float, return its value cast to an int.
47     If the value is out of range, or NaN, return return +/- SK_MaxS32
48 */
49 int32_t SkFloatBits_toIntCast(int32_t floatBits);
50 
51 /** Given the bit representation of a float, return its floor as an int.
52     If the value is out of range, or NaN, return return +/- SK_MaxS32
53  */
54 int32_t SkFloatBits_toIntFloor(int32_t floatBits);
55 
56 /** Given the bit representation of a float, return it rounded to an int.
57     If the value is out of range, or NaN, return return +/- SK_MaxS32
58  */
59 int32_t SkFloatBits_toIntRound(int32_t floatBits);
60 
61 /** Given the bit representation of a float, return its ceiling as an int.
62     If the value is out of range, or NaN, return return +/- SK_MaxS32
63  */
64 int32_t SkFloatBits_toIntCeil(int32_t floatBits);
65 
66 
67 #ifdef SK_CAN_USE_FLOAT
68 
69 union SkFloatIntUnion {
70     float   fFloat;
71     int32_t fSignBitInt;
72 };
73 
74 // Helper to see a float as its bit pattern (w/o aliasing warnings)
SkFloat2Bits(float x)75 static inline int32_t SkFloat2Bits(float x) {
76     SkFloatIntUnion data;
77     data.fFloat = x;
78     return data.fSignBitInt;
79 }
80 
81 // Helper to see a bit pattern as a float (w/o aliasing warnings)
SkBits2Float(int32_t floatAsBits)82 static inline float SkBits2Float(int32_t floatAsBits) {
83     SkFloatIntUnion data;
84     data.fSignBitInt = floatAsBits;
85     return data.fFloat;
86 }
87 
88 /** Return the float as a 2s compliment int. Just to be used to compare floats
89     to each other or against positive float-bit-constants (like 0). This does
90     not return the int equivalent of the float, just something cheaper for
91     compares-only.
92  */
SkFloatAs2sCompliment(float x)93 static inline int32_t SkFloatAs2sCompliment(float x) {
94     return SkSignBitTo2sCompliment(SkFloat2Bits(x));
95 }
96 
97 /** Return the 2s compliment int as a float. This undos the result of
98     SkFloatAs2sCompliment
99  */
Sk2sComplimentAsFloat(int32_t x)100 static inline float Sk2sComplimentAsFloat(int32_t x) {
101     return SkBits2Float(Sk2sComplimentToSignBit(x));
102 }
103 
104 /** Return x cast to a float (i.e. (float)x)
105 */
106 float SkIntToFloatCast(int x);
107 float SkIntToFloatCast_NoOverflowCheck(int x);
108 
109 /** Return the float cast to an int.
110     If the value is out of range, or NaN, return +/- SK_MaxS32
111 */
SkFloatToIntCast(float x)112 static inline int32_t SkFloatToIntCast(float x) {
113     return SkFloatBits_toIntCast(SkFloat2Bits(x));
114 }
115 
116 /** Return the floor of the float as an int.
117     If the value is out of range, or NaN, return +/- SK_MaxS32
118 */
SkFloatToIntFloor(float x)119 static inline int32_t SkFloatToIntFloor(float x) {
120     return SkFloatBits_toIntFloor(SkFloat2Bits(x));
121 }
122 
123 /** Return the float rounded to an int.
124     If the value is out of range, or NaN, return +/- SK_MaxS32
125 */
SkFloatToIntRound(float x)126 static inline int32_t SkFloatToIntRound(float x) {
127     return SkFloatBits_toIntRound(SkFloat2Bits(x));
128 }
129 
130 /** Return the ceiling of the float as an int.
131     If the value is out of range, or NaN, return +/- SK_MaxS32
132 */
SkFloatToIntCeil(float x)133 static inline int32_t SkFloatToIntCeil(float x) {
134     return SkFloatBits_toIntCeil(SkFloat2Bits(x));
135 }
136 
137 #endif
138 
139 //  Scalar wrappers for float-bit routines
140 
141 #ifdef SK_SCALAR_IS_FLOAT
142     #define SkScalarAs2sCompliment(x)    SkFloatAs2sCompliment(x)
143     #define Sk2sComplimentAsScalar(x)    Sk2sComplimentAsFloat(x)
144 #else
145     #define SkScalarAs2sCompliment(x)    (x)
146     #define Sk2sComplimentAsScalar(x)    (x)
147 #endif
148 
149 #endif
150 
151