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| 1 #include "SkFloatBits.h" | |
| 2 #include "SkMath.h" | |
| 3 | |
| 4 /****************************************************************************** | |
| 5 SkFloatBits_toInt[Floor, Round, Ceil] are identical except for what they | |
| 6 do right before they return ... >> exp; | |
| 7 Floor - adds nothing | |
| 8 Round - adds 1 << (exp - 1) | |
| 9 Ceil - adds (1 << exp) - 1 | |
| 10 | |
| 11 Floor and Cast are very similar, but Cast applies its sign after all other | |
| 12 computations on value. Also, Cast does not need to check for negative zero, | |
| 13 as that value (0x80000000) "does the right thing" for Ceil. Note that it | |
| 14 doesn't for Floor/Round/Ceil, hence the explicit check. | |
| 15 ******************************************************************************/ | |
| 16 | |
| 17 #define EXP_BIAS (127+23) | |
| 18 #define MATISSA_MAGIC_BIG (1 << 23) | |
| 19 | |
| 20 static inline int unpack_exp(uint32_t packed) { | |
| 21 return (packed << 1 >> 24); | |
| 22 } | |
| 23 | |
| 24 #if 0 | |
| 25 // the ARM compiler generates an extra BIC, so I use the dirty version instead | |
| 26 static inline int unpack_matissa(uint32_t packed) { | |
| 27 // we could mask with 0x7FFFFF, but that is harder for ARM to encode | |
| 28 return (packed & ~0xFF000000) | MATISSA_MAGIC_BIG; | |
| 29 } | |
| 30 #endif | |
| 31 | |
| 32 // returns the low 24-bits, so we need to OR in the magic_bit afterwards | |
| 33 static inline int unpack_matissa_dirty(uint32_t packed) { | |
| 34 return packed & ~0xFF000000; | |
| 35 } | |
| 36 | |
| 37 // same as (int)float | |
| 38 int32_t SkFloatBits_toIntCast(int32_t packed) { | |
| 39 int exp = unpack_exp(packed) - EXP_BIAS; | |
| 40 int value = unpack_matissa_dirty(packed) | MATISSA_MAGIC_BIG; | |
| 41 | |
| 42 if (exp >= 0) { | |
| 43 if (exp > 7) { // overflow | |
| 44 value = SK_MaxS32; | |
| 45 } else { | |
| 46 value <<= exp; | |
| 47 } | |
| 48 } else { | |
| 49 exp = -exp; | |
| 50 if (exp > 25) { // underflow | |
| 51 exp = 25; | |
| 52 } | |
| 53 value >>= exp; | |
| 54 } | |
| 55 return SkApplySign(value, SkExtractSign(packed)); | |
| 56 } | |
| 57 | |
| 58 // same as (int)floor(float) | |
| 59 int32_t SkFloatBits_toIntFloor(int32_t packed) { | |
| 60 // curse you negative 0 | |
| 61 if ((packed << 1) == 0) { | |
| 62 return 0; | |
| 63 } | |
| 64 | |
| 65 int exp = unpack_exp(packed) - EXP_BIAS; | |
| 66 int value = unpack_matissa_dirty(packed) | MATISSA_MAGIC_BIG; | |
| 67 | |
| 68 if (exp >= 0) { | |
| 69 if (exp > 7) { // overflow | |
| 70 value = SK_MaxS32; | |
| 71 } else { | |
| 72 value <<= exp; | |
| 73 } | |
| 74 // apply the sign after we check for overflow | |
| 75 return SkApplySign(value, SkExtractSign(packed)); | |
| 76 } else { | |
| 77 // apply the sign before we right-shift | |
| 78 value = SkApplySign(value, SkExtractSign(packed)); | |
| 79 exp = -exp; | |
| 80 if (exp > 25) { // underflow | |
| 81 exp = 25; | |
| 82 } | |
| 83 // int add = 0; | |
| 84 return value >> exp; | |
| 85 } | |
| 86 } | |
| 87 | |
| 88 // same as (int)floor(float + 0.5) | |
| 89 int32_t SkFloatBits_toIntRound(int32_t packed) { | |
| 90 // curse you negative 0 | |
| 91 if ((packed << 1) == 0) { | |
| 92 return 0; | |
| 93 } | |
| 94 | |
| 95 int exp = unpack_exp(packed) - EXP_BIAS; | |
| 96 int value = unpack_matissa_dirty(packed) | MATISSA_MAGIC_BIG; | |
| 97 | |
| 98 if (exp >= 0) { | |
| 99 if (exp > 7) { // overflow | |
| 100 value = SK_MaxS32; | |
| 101 } else { | |
| 102 value <<= exp; | |
| 103 } | |
| 104 // apply the sign after we check for overflow | |
| 105 return SkApplySign(value, SkExtractSign(packed)); | |
| 106 } else { | |
| 107 // apply the sign before we right-shift | |
| 108 value = SkApplySign(value, SkExtractSign(packed)); | |
| 109 exp = -exp; | |
| 110 if (exp > 25) { // underflow | |
| 111 exp = 25; | |
| 112 } | |
| 113 int add = 1 << (exp - 1); | |
| 114 return (value + add) >> exp; | |
| 115 } | |
| 116 } | |
| 117 | |
| 118 // same as (int)ceil(float) | |
| 119 int32_t SkFloatBits_toIntCeil(int32_t packed) { | |
| 120 // curse you negative 0 | |
| 121 if ((packed << 1) == 0) { | |
| 122 return 0; | |
| 123 } | |
| 124 | |
| 125 int exp = unpack_exp(packed) - EXP_BIAS; | |
| 126 int value = unpack_matissa_dirty(packed) | MATISSA_MAGIC_BIG; | |
| 127 | |
| 128 if (exp >= 0) { | |
| 129 if (exp > 7) { // overflow | |
| 130 value = SK_MaxS32; | |
| 131 } else { | |
| 132 value <<= exp; | |
| 133 } | |
| 134 // apply the sign after we check for overflow | |
| 135 return SkApplySign(value, SkExtractSign(packed)); | |
| 136 } else { | |
| 137 // apply the sign before we right-shift | |
| 138 value = SkApplySign(value, SkExtractSign(packed)); | |
| 139 exp = -exp; | |
| 140 if (exp > 25) { // underflow | |
| 141 exp = 25; | |
| 142 } | |
| 143 int add = (1 << exp) - 1; | |
| 144 return (value + add) >> exp; | |
| 145 } | |
| 146 } | |
| 147 | |
| 148 float SkFloatBits_intToFloatNative(int x); | |
| 149 float SkFloatBits_intToFloatNative(int x) { | |
| 150 return x; | |
| 151 } | |
| 152 | |
| 153 float SkIntToFloatCast(int32_t value) { | |
| 154 if (0 == value) { | |
| 155 return 0; | |
| 156 } | |
| 157 | |
| 158 int shift = EXP_BIAS; | |
| 159 | |
| 160 // record the sign and make value positive | |
| 161 int sign = SkExtractSign(value); | |
| 162 value = SkApplySign(value, sign); | |
| 163 | |
| 164 if (value >> 24) { // value is too big (has more than 24 bits set) | |
| 165 int bias = 8 - SkCLZ(value); | |
| 166 SkDebugf("value = %d, bias = %d\n", value, bias); | |
| 167 SkASSERT(bias > 0 && bias < 8); | |
| 168 value >>= bias; // need to round? | |
| 169 shift += bias; | |
| 170 } else { | |
| 171 int zeros = SkCLZ(value << 8); | |
| 172 SkASSERT(zeros >= 0 && zeros <= 23); | |
| 173 value <<= zeros; | |
| 174 shift -= zeros; | |
| 175 } | |
| 176 | |
| 177 // now value is left-aligned to 24 bits | |
| 178 SkASSERT((value >> 23) == 1); | |
| 179 SkASSERT(shift >= 0 && shift <= 255); | |
| 180 | |
| 181 SkFloatIntUnion data; | |
| 182 data.fSignBitInt = (sign << 31) | (shift << 23) | (value & ~MATISSA_MAGIC_BI
G); | |
| 183 return data.fFloat; | |
| 184 } | |
| 185 | |
| 186 float SkIntToFloatCast_NoOverflowCheck(int32_t value) { | |
| 187 if (0 == value) { | |
| 188 return 0; | |
| 189 } | |
| 190 | |
| 191 int shift = EXP_BIAS; | |
| 192 | |
| 193 // record the sign and make value positive | |
| 194 int sign = SkExtractSign(value); | |
| 195 value = SkApplySign(value, sign); | |
| 196 | |
| 197 int zeros = SkCLZ(value << 8); | |
| 198 value <<= zeros; | |
| 199 shift -= zeros; | |
| 200 | |
| 201 SkFloatIntUnion data; | |
| 202 data.fSignBitInt = (sign << 31) | (shift << 23) | (value & ~MATISSA_MAGIC_BI
G); | |
| 203 return data.fFloat; | |
| 204 } | |
| 205 | |
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