1 /* 2 * Copyright 2014 Google Inc. 3 * 4 * Use of this source code is governed by a BSD-style license that can be 5 * found in the LICENSE file. 6 */ 7 8 #ifndef SkHalf_DEFINED 9 #define SkHalf_DEFINED 10 11 #include "SkNx.h" 12 #include "SkTypes.h" 13 14 // 16-bit floating point value 15 // format is 1 bit sign, 5 bits exponent, 10 bits mantissa 16 // only used for storage 17 typedef uint16_t SkHalf; 18 19 static constexpr uint16_t SK_HalfMin = 0x0400; // 2^-14 (minimum positive normal value) 20 static constexpr uint16_t SK_HalfMax = 0x7bff; // 65504 21 static constexpr uint16_t SK_HalfEpsilon = 0x1400; // 2^-10 22 static constexpr uint16_t SK_Half1 = 0x3C00; // 1 23 24 // convert between half and single precision floating point 25 float SkHalfToFloat(SkHalf h); 26 SkHalf SK_API SkFloatToHalf(float f); 27 28 // Convert between half and single precision floating point, 29 // assuming inputs and outputs are both finite, and may 30 // flush values which would be denormal half floats to zero. 31 static inline Sk4f SkHalfToFloat_finite_ftz(uint64_t); 32 static inline Sk4h SkFloatToHalf_finite_ftz(const Sk4f&); 33 34 // ~~~~~~~~~~~ impl ~~~~~~~~~~~~~~ // 35 36 // Like the serial versions in SkHalf.cpp, these are based on 37 // https://fgiesen.wordpress.com/2012/03/28/half-to-float-done-quic/ 38 39 // GCC 4.9 lacks the intrinsics to use ARMv8 f16<->f32 instructions, so we use inline assembly. 40 41 static inline Sk4f SkHalfToFloat_finite_ftz(uint64_t rgba) { 42 Sk4h hs = Sk4h::Load(&rgba); 43 #if !defined(SKNX_NO_SIMD) && defined(SK_CPU_ARM64) 44 float32x4_t fs; 45 asm ("fcvtl %[fs].4s, %[hs].4h \n" // vcvt_f32_f16(...) 46 : [fs] "=w" (fs) // =w: write-only NEON register 47 : [hs] "w" (hs.fVec)); // w: read-only NEON register 48 return fs; 49 #else 50 Sk4i bits = SkNx_cast<int>(hs), // Expand to 32 bit. 51 sign = bits & 0x00008000, // Save the sign bit for later... 52 positive = bits ^ sign, // ...but strip it off for now. 53 is_norm = 0x03ff < positive; // Exponent > 0? 54 55 // For normal half floats, extend the mantissa by 13 zero bits, 56 // then adjust the exponent from 15 bias to 127 bias. 57 Sk4i norm = (positive << 13) + ((127 - 15) << 23); 58 59 Sk4i merged = (sign << 16) | (norm & is_norm); 60 return Sk4f::Load(&merged); 61 #endif 62 } 63 64 static inline Sk4h SkFloatToHalf_finite_ftz(const Sk4f& fs) { 65 #if !defined(SKNX_NO_SIMD) && defined(SK_CPU_ARM64) 66 float32x4_t vec = fs.fVec; 67 asm ("fcvtn %[vec].4h, %[vec].4s \n" // vcvt_f16_f32(vec) 68 : [vec] "+w" (vec)); // +w: read-write NEON register 69 return vreinterpret_u16_f32(vget_low_f32(vec)); 70 #else 71 Sk4i bits = Sk4i::Load(&fs), 72 sign = bits & 0x80000000, // Save the sign bit for later... 73 positive = bits ^ sign, // ...but strip it off for now. 74 will_be_norm = 0x387fdfff < positive; // greater than largest denorm half? 75 76 // For normal half floats, adjust the exponent from 127 bias to 15 bias, 77 // then drop the bottom 13 mantissa bits. 78 Sk4i norm = (positive - ((127 - 15) << 23)) >> 13; 79 80 Sk4i merged = (sign >> 16) | (will_be_norm & norm); 81 return SkNx_cast<uint16_t>(merged); 82 #endif 83 } 84 85 #endif 86