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Side by Side Diff: src/core/SkHalf.h

Issue 2256023002: Flush denorm half floats to zero. (Closed) Base URL: https://skia.googlesource.com/skia.git@master
Patch Set: names Created 4 years, 4 months ago
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1 /* 1 /*
2 * Copyright 2014 Google Inc. 2 * Copyright 2014 Google Inc.
3 * 3 *
4 * Use of this source code is governed by a BSD-style license that can be 4 * Use of this source code is governed by a BSD-style license that can be
5 * found in the LICENSE file. 5 * found in the LICENSE file.
6 */ 6 */
7 7
8 #ifndef SkHalf_DEFINED 8 #ifndef SkHalf_DEFINED
9 #define SkHalf_DEFINED 9 #define SkHalf_DEFINED
10 10
11 #include "SkNx.h" 11 #include "SkNx.h"
12 #include "SkTypes.h" 12 #include "SkTypes.h"
13 13
14 // 16-bit floating point value 14 // 16-bit floating point value
15 // format is 1 bit sign, 5 bits exponent, 10 bits mantissa 15 // format is 1 bit sign, 5 bits exponent, 10 bits mantissa
16 // only used for storage 16 // only used for storage
17 typedef uint16_t SkHalf; 17 typedef uint16_t SkHalf;
18 18
19 static constexpr uint16_t SK_HalfMin = 0x0400; // 2^-24 (minimum positive n ormal value) 19 static constexpr uint16_t SK_HalfMin = 0x0400; // 2^-24 (minimum positive n ormal value)
20 static constexpr uint16_t SK_HalfMax = 0x7bff; // 65504 20 static constexpr uint16_t SK_HalfMax = 0x7bff; // 65504
21 static constexpr uint16_t SK_HalfEpsilon = 0x1400; // 2^-10 21 static constexpr uint16_t SK_HalfEpsilon = 0x1400; // 2^-10
22 static constexpr uint16_t SK_Half1 = 0x3C00; // 1 22 static constexpr uint16_t SK_Half1 = 0x3C00; // 1
23 23
24 // convert between half and single precision floating point 24 // convert between half and single precision floating point
25 float SkHalfToFloat(SkHalf h); 25 float SkHalfToFloat(SkHalf h);
26 SkHalf SkFloatToHalf(float f); 26 SkHalf SkFloatToHalf(float f);
27 27
28 // Convert between half and single precision floating point, 28 // Convert between half and single precision floating point,
29 // assuming inputs and outputs are both finite. 29 // assuming inputs and outputs are both ordinary, that is, zero or normal.
30 static inline Sk4f SkHalfToFloat_finite(uint64_t); 30 static inline Sk4f SkHalfToFloat_ordinary(uint64_t);
31 static inline Sk4h SkFloatToHalf_finite(const Sk4f&); 31 static inline Sk4h SkFloatToHalf_ordinary(const Sk4f&);
32 32
33 // ~~~~~~~~~~~ impl ~~~~~~~~~~~~~~ // 33 // ~~~~~~~~~~~ impl ~~~~~~~~~~~~~~ //
34 34
35 // Like the serial versions in SkHalf.cpp, these are based on 35 // Like the serial versions in SkHalf.cpp, these are based on
36 // https://fgiesen.wordpress.com/2012/03/28/half-to-float-done-quic/ 36 // https://fgiesen.wordpress.com/2012/03/28/half-to-float-done-quic/
37 37
38 // GCC 4.9 lacks the intrinsics to use ARMv8 f16<->f32 instructions, so we use i nline assembly. 38 // GCC 4.9 lacks the intrinsics to use ARMv8 f16<->f32 instructions, so we use i nline assembly.
39 39
40 static inline Sk4f SkHalfToFloat_finite(const Sk4h& hs) { 40 static inline Sk4f SkHalfToFloat_ordinary(const Sk4h& hs) {
41 #if !defined(SKNX_NO_SIMD) && defined(SK_CPU_ARM64) 41 #if !defined(SKNX_NO_SIMD) && defined(SK_CPU_ARM64)
42 float32x4_t fs; 42 float32x4_t fs;
43 asm ("fcvtl %[fs].4s, %[hs].4h \n" // vcvt_f32_f16(...) 43 asm ("fcvtl %[fs].4s, %[hs].4h \n" // vcvt_f32_f16(...)
44 : [fs] "=w" (fs) // =w: write-only NEON register 44 : [fs] "=w" (fs) // =w: write-only NEON register
45 : [hs] "w" (hs.fVec)); // w: read-only NEON register 45 : [hs] "w" (hs.fVec)); // w: read-only NEON register
46 return fs; 46 return fs;
47 #else 47 #else
48 Sk4i bits = SkNx_cast<int>(hs), // Expand to 32 bit. 48 Sk4i bits = SkNx_cast<int>(hs), // Expand to 32 bit.
49 sign = bits & 0x00008000, // Save the sign bit for later... 49 sign = bits & 0x00008000, // Save the sign bit for later...
50 positive = bits ^ sign, // ...but strip it off for now. 50 positive = bits ^ sign, // ...but strip it off for now.
51 is_denorm = positive < (1<<10); // Exponent == 0? 51 is_norm = 0x03ff < positive; // Exponent > 0?
52 52
53 // For normal half floats, extend the mantissa by 13 zero bits, 53 // For normal half floats, extend the mantissa by 13 zero bits,
54 // then adjust the exponent from 15 bias to 127 bias. 54 // then adjust the exponent from 15 bias to 127 bias.
55 Sk4i norm = (positive << 13) + ((127 - 15) << 23); 55 Sk4i norm = (positive << 13) + ((127 - 15) << 23);
56 56
57 // For denorm half floats, mask in the exponent-only float K that turns our 57 Sk4i merged = (sign << 16) | (norm & is_norm);
58 // denorm value V*2^-14 into a normalized float K + V*2^-14. Then subtract off K.
59 const Sk4i K = ((127-15) + (23-10) + 1) << 23;
60 Sk4i mask_K = positive | K;
61 Sk4f denorm = Sk4f::Load(&mask_K) - Sk4f::Load(&K);
62
63 Sk4i merged = (sign << 16) | is_denorm.thenElse(Sk4i::Load(&denorm), norm);
64 return Sk4f::Load(&merged); 58 return Sk4f::Load(&merged);
65 #endif 59 #endif
66 } 60 }
67 61
68 static inline Sk4f SkHalfToFloat_finite(uint64_t hs) { 62 static inline Sk4f SkHalfToFloat_ordinary(uint64_t hs) {
69 return SkHalfToFloat_finite(Sk4h::Load(&hs)); 63 return SkHalfToFloat_ordinary(Sk4h::Load(&hs));
70 } 64 }
71 65
72 static inline Sk4h SkFloatToHalf_finite(const Sk4f& fs) { 66 static inline Sk4h SkFloatToHalf_ordinary(const Sk4f& fs) {
73 #if !defined(SKNX_NO_SIMD) && defined(SK_CPU_ARM64) 67 #if !defined(SKNX_NO_SIMD) && defined(SK_CPU_ARM64)
74 float32x4_t vec = fs.fVec; 68 float32x4_t vec = fs.fVec;
75 asm ("fcvtn %[vec].4h, %[vec].4s \n" // vcvt_f16_f32(vec) 69 asm ("fcvtn %[vec].4h, %[vec].4s \n" // vcvt_f16_f32(vec)
76 : [vec] "+w" (vec)); // +w: read-write NEON register 70 : [vec] "+w" (vec)); // +w: read-write NEON register
77 return vreinterpret_u16_f32(vget_low_f32(vec)); 71 return vreinterpret_u16_f32(vget_low_f32(vec));
78 #else 72 #else
79 Sk4i bits = Sk4i::Load(&fs), 73 Sk4i bits = Sk4i::Load(&fs),
80 sign = bits & 0x80000000, // Save the sign bit f or later... 74 sign = bits & 0x80000000, // Save the sign bit for later.. .
81 positive = bits ^ sign, // ...but strip it off for now. 75 positive = bits ^ sign, // ...but strip it off for now.
82 will_be_denorm = positive < ((127-15+1) << 23); // positve < smallest normal half? 76 will_be_norm = 0x387fc000 < positive; // greater than largest denorm h alf?
83 77
84 // For normal half floats, adjust the exponent from 127 bias to 15 bias, 78 // For normal half floats, adjust the exponent from 127 bias to 15 bias,
85 // then drop the bottom 13 mantissa bits. 79 // then drop the bottom 13 mantissa bits.
86 Sk4i norm = (positive - ((127 - 15) << 23)) >> 13; 80 Sk4i norm = (positive - ((127 - 15) << 23)) >> 13;
87 81
88 // This mechanically inverts the denorm half -> normal float conversion abov e. 82 Sk4i merged = (sign >> 16) | (will_be_norm & norm);
msarett 2016/08/18 13:19:55 Woohoo! This file gets a lot simpler!
89 // Knowning that and reading its explanation will leave you feeling more con fident
90 // than reading my best attempt at explaining this directly.
91 const Sk4i K = ((127-15) + (23-10) + 1) << 23;
92 Sk4f plus_K = Sk4f::Load(&positive) + Sk4f::Load(&K);
93 Sk4i denorm = Sk4i::Load(&plus_K) ^ K;
94
95 Sk4i merged = (sign >> 16) | will_be_denorm.thenElse(denorm, norm);
96 return SkNx_cast<uint16_t>(merged); 83 return SkNx_cast<uint16_t>(merged);
97 #endif 84 #endif
98 } 85 }
99 86
100 #endif 87 #endif
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