Laurence Lundblade | cc2ed34 | 2018-09-22 17:29:55 -0700 | [diff] [blame] | 1 | /*============================================================================== |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 2 | ieee754.c -- floating-point conversion between half, double & single-precision |
Laurence Lundblade | 035bd78 | 2019-01-21 17:01:31 -0800 | [diff] [blame] | 3 | |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 4 | Copyright (c) 2018-2020, Laurence Lundblade. All rights reserved. |
Máté Tóth-Pál | ef5f07a | 2021-09-17 19:31:37 +0200 | [diff] [blame] | 5 | Copyright (c) 2021, Arm Limited. All rights reserved. |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 6 | |
Laurence Lundblade | a3fd49f | 2019-01-21 10:16:22 -0800 | [diff] [blame] | 7 | SPDX-License-Identifier: BSD-3-Clause |
Laurence Lundblade | 035bd78 | 2019-01-21 17:01:31 -0800 | [diff] [blame] | 8 | |
Laurence Lundblade | a3fd49f | 2019-01-21 10:16:22 -0800 | [diff] [blame] | 9 | See BSD-3-Clause license in README.md |
Laurence Lundblade | 035bd78 | 2019-01-21 17:01:31 -0800 | [diff] [blame] | 10 | |
Laurence Lundblade | a3fd49f | 2019-01-21 10:16:22 -0800 | [diff] [blame] | 11 | Created on 7/23/18 |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 12 | =============================================================================*/ |
Laurence Lundblade | cc2ed34 | 2018-09-22 17:29:55 -0700 | [diff] [blame] | 13 | |
Máté Tóth-Pál | ef5f07a | 2021-09-17 19:31:37 +0200 | [diff] [blame] | 14 | /* |
| 15 | Include before QCBOR_DISABLE_PREFERRED_FLOAT is checked as |
| 16 | QCBOR_DISABLE_PREFERRED_FLOAT might be defined in qcbor/qcbor_common.h |
| 17 | */ |
| 18 | #include "qcbor/qcbor_common.h" |
| 19 | |
Laurence Lundblade | b275cdc | 2020-07-12 12:34:38 -0700 | [diff] [blame] | 20 | #ifndef QCBOR_DISABLE_PREFERRED_FLOAT |
Laurence Lundblade | 9682a53 | 2020-06-06 18:33:04 -0700 | [diff] [blame] | 21 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 22 | #include "ieee754.h" |
| 23 | #include <string.h> // For memcpy() |
| 24 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 25 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 26 | /* |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 27 | This code is written for clarity and verifiability, not for size, on |
| 28 | the assumption that the optimizer will do a good job. The LLVM |
| 29 | optimizer, -Os, does seem to do the job and the resulting object code |
| 30 | is smaller from combining code for the many different cases (normal, |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 31 | subnormal, infinity, zero...) for the conversions. GCC is no where near |
| 32 | as good. |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 33 | |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 34 | This code has really long lines and is much easier to read because of |
| 35 | them. Some coding guidelines prefer 80 column lines (can they not afford |
| 36 | big displays?). It would make this code much worse even to wrap at 120 |
| 37 | columns. |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 38 | |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 39 | Dead stripping is also really helpful to get code size down when |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 40 | floating-point encoding is not needed. (If this is put in a library |
| 41 | and linking is against the library, then dead stripping is automatic). |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 42 | |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 43 | This code works solely using shifts and masks and thus has no |
| 44 | dependency on any math libraries. It can even work if the CPU doesn't |
| 45 | have any floating-point support, though that isn't the most useful |
| 46 | thing to do. |
| 47 | |
| 48 | The memcpy() dependency is only for CopyFloatToUint32() and friends |
| 49 | which only is needed to avoid type punning when converting the actual |
| 50 | float bits to an unsigned value so the bit shifts and masks can work. |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 51 | */ |
| 52 | |
| 53 | /* |
| 54 | The references used to write this code: |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 55 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 56 | - IEEE 754-2008, particularly section 3.6 and 6.2.1 |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 57 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 58 | - https://en.wikipedia.org/wiki/IEEE_754 and subordinate pages |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 59 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 60 | - https://stackoverflow.com/questions/19800415/why-does-ieee-754-reserve-so-many-nan-values |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 61 | |
| 62 | - https://stackoverflow.com/questions/46073295/implicit-type-promotion-rules |
| 63 | |
| 64 | - https://stackoverflow.com/questions/589575/what-does-the-c-standard-state-the-size-of-int-long-type-to-be |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 65 | */ |
| 66 | |
| 67 | |
| 68 | // ----- Half Precsion ----------- |
| 69 | #define HALF_NUM_SIGNIFICAND_BITS (10) |
| 70 | #define HALF_NUM_EXPONENT_BITS (5) |
| 71 | #define HALF_NUM_SIGN_BITS (1) |
| 72 | |
| 73 | #define HALF_SIGNIFICAND_SHIFT (0) |
| 74 | #define HALF_EXPONENT_SHIFT (HALF_NUM_SIGNIFICAND_BITS) |
| 75 | #define HALF_SIGN_SHIFT (HALF_NUM_SIGNIFICAND_BITS + HALF_NUM_EXPONENT_BITS) |
| 76 | |
Laurence Lundblade | 06350ea | 2020-01-27 19:32:40 -0800 | [diff] [blame] | 77 | #define HALF_SIGNIFICAND_MASK (0x3ffU) // The lower 10 bits // 0x03ff |
| 78 | #define HALF_EXPONENT_MASK (0x1fU << HALF_EXPONENT_SHIFT) // 0x7c00 5 bits of exponent |
| 79 | #define HALF_SIGN_MASK (0x01U << HALF_SIGN_SHIFT) // // 0x8000 1 bit of sign |
| 80 | #define HALF_QUIET_NAN_BIT (0x01U << (HALF_NUM_SIGNIFICAND_BITS-1)) // 0x0200 |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 81 | |
| 82 | /* Biased Biased Unbiased Use |
| 83 | 0x00 0 -15 0 and subnormal |
| 84 | 0x01 1 -14 Smallest normal exponent |
| 85 | 0x1e 30 15 Largest normal exponent |
| 86 | 0x1F 31 16 NaN and Infinity */ |
| 87 | #define HALF_EXPONENT_BIAS (15) |
| 88 | #define HALF_EXPONENT_MAX (HALF_EXPONENT_BIAS) // 15 Unbiased |
| 89 | #define HALF_EXPONENT_MIN (-HALF_EXPONENT_BIAS+1) // -14 Unbiased |
| 90 | #define HALF_EXPONENT_ZERO (-HALF_EXPONENT_BIAS) // -15 Unbiased |
| 91 | #define HALF_EXPONENT_INF_OR_NAN (HALF_EXPONENT_BIAS+1) // 16 Unbiased |
| 92 | |
| 93 | |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 94 | // ------ Single-Precision -------- |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 95 | #define SINGLE_NUM_SIGNIFICAND_BITS (23) |
| 96 | #define SINGLE_NUM_EXPONENT_BITS (8) |
| 97 | #define SINGLE_NUM_SIGN_BITS (1) |
| 98 | |
| 99 | #define SINGLE_SIGNIFICAND_SHIFT (0) |
| 100 | #define SINGLE_EXPONENT_SHIFT (SINGLE_NUM_SIGNIFICAND_BITS) |
| 101 | #define SINGLE_SIGN_SHIFT (SINGLE_NUM_SIGNIFICAND_BITS + SINGLE_NUM_EXPONENT_BITS) |
| 102 | |
Laurence Lundblade | 06350ea | 2020-01-27 19:32:40 -0800 | [diff] [blame] | 103 | #define SINGLE_SIGNIFICAND_MASK (0x7fffffU) // The lower 23 bits |
| 104 | #define SINGLE_EXPONENT_MASK (0xffU << SINGLE_EXPONENT_SHIFT) // 8 bits of exponent |
| 105 | #define SINGLE_SIGN_MASK (0x01U << SINGLE_SIGN_SHIFT) // 1 bit of sign |
| 106 | #define SINGLE_QUIET_NAN_BIT (0x01U << (SINGLE_NUM_SIGNIFICAND_BITS-1)) |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 107 | |
| 108 | /* Biased Biased Unbiased Use |
| 109 | 0x0000 0 -127 0 and subnormal |
| 110 | 0x0001 1 -126 Smallest normal exponent |
| 111 | 0x7f 127 0 1 |
| 112 | 0xfe 254 127 Largest normal exponent |
| 113 | 0xff 255 128 NaN and Infinity */ |
| 114 | #define SINGLE_EXPONENT_BIAS (127) |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 115 | #define SINGLE_EXPONENT_MAX (SINGLE_EXPONENT_BIAS) // 127 unbiased |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 116 | #define SINGLE_EXPONENT_MIN (-SINGLE_EXPONENT_BIAS+1) // -126 unbiased |
| 117 | #define SINGLE_EXPONENT_ZERO (-SINGLE_EXPONENT_BIAS) // -127 unbiased |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 118 | #define SINGLE_EXPONENT_INF_OR_NAN (SINGLE_EXPONENT_BIAS+1) // 128 unbiased |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 119 | |
| 120 | |
Laurence Lundblade | ee85174 | 2020-01-08 08:37:05 -0800 | [diff] [blame] | 121 | // --------- Double-Precision ---------- |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 122 | #define DOUBLE_NUM_SIGNIFICAND_BITS (52) |
| 123 | #define DOUBLE_NUM_EXPONENT_BITS (11) |
| 124 | #define DOUBLE_NUM_SIGN_BITS (1) |
| 125 | |
| 126 | #define DOUBLE_SIGNIFICAND_SHIFT (0) |
| 127 | #define DOUBLE_EXPONENT_SHIFT (DOUBLE_NUM_SIGNIFICAND_BITS) |
| 128 | #define DOUBLE_SIGN_SHIFT (DOUBLE_NUM_SIGNIFICAND_BITS + DOUBLE_NUM_EXPONENT_BITS) |
| 129 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 130 | #define DOUBLE_SIGNIFICAND_MASK (0xfffffffffffffULL) // The lower 52 bits |
| 131 | #define DOUBLE_EXPONENT_MASK (0x7ffULL << DOUBLE_EXPONENT_SHIFT) // 11 bits of exponent |
| 132 | #define DOUBLE_SIGN_MASK (0x01ULL << DOUBLE_SIGN_SHIFT) // 1 bit of sign |
| 133 | #define DOUBLE_QUIET_NAN_BIT (0x01ULL << (DOUBLE_NUM_SIGNIFICAND_BITS-1)) |
| 134 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 135 | |
| 136 | /* Biased Biased Unbiased Use |
| 137 | 0x00000000 0 -1023 0 and subnormal |
| 138 | 0x00000001 1 -1022 Smallest normal exponent |
| 139 | 0x000007fe 2046 1023 Largest normal exponent |
| 140 | 0x000007ff 2047 1024 NaN and Infinity */ |
| 141 | #define DOUBLE_EXPONENT_BIAS (1023) |
| 142 | #define DOUBLE_EXPONENT_MAX (DOUBLE_EXPONENT_BIAS) // unbiased |
| 143 | #define DOUBLE_EXPONENT_MIN (-DOUBLE_EXPONENT_BIAS+1) // unbiased |
| 144 | #define DOUBLE_EXPONENT_ZERO (-DOUBLE_EXPONENT_BIAS) // unbiased |
| 145 | #define DOUBLE_EXPONENT_INF_OR_NAN (DOUBLE_EXPONENT_BIAS+1) // unbiased |
| 146 | |
| 147 | |
| 148 | |
| 149 | /* |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 150 | Convenient functions to avoid type punning, compiler warnings and |
| 151 | such. The optimizer reduces them to a simple assignment. This is a |
| 152 | crusty corner of C. It shouldn't be this hard. |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 153 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 154 | These are also in UsefulBuf.h under a different name. They are copied |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 155 | here to avoid a dependency on UsefulBuf.h. There is no object code |
| 156 | size impact because these always optimze down to a simple assignment. |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 157 | */ |
| 158 | static inline uint32_t CopyFloatToUint32(float f) |
| 159 | { |
| 160 | uint32_t u32; |
| 161 | memcpy(&u32, &f, sizeof(uint32_t)); |
| 162 | return u32; |
| 163 | } |
| 164 | |
| 165 | static inline uint64_t CopyDoubleToUint64(double d) |
| 166 | { |
| 167 | uint64_t u64; |
| 168 | memcpy(&u64, &d, sizeof(uint64_t)); |
| 169 | return u64; |
| 170 | } |
| 171 | |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 172 | static inline double CopyUint64ToDouble(uint64_t u64) |
| 173 | { |
| 174 | double d; |
| 175 | memcpy(&d, &u64, sizeof(uint64_t)); |
| 176 | return d; |
| 177 | } |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 178 | |
| 179 | |
| 180 | // Public function; see ieee754.h |
Laurence Lundblade | cc2ed34 | 2018-09-22 17:29:55 -0700 | [diff] [blame] | 181 | uint16_t IEEE754_FloatToHalf(float f) |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 182 | { |
| 183 | // Pull the three parts out of the single-precision float |
| 184 | const uint32_t uSingle = CopyFloatToUint32(f); |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 185 | const int32_t nSingleUnbiasedExponent = (int32_t)((uSingle & SINGLE_EXPONENT_MASK) >> SINGLE_EXPONENT_SHIFT) - SINGLE_EXPONENT_BIAS; |
| 186 | const uint32_t uSingleSign = (uSingle & SINGLE_SIGN_MASK) >> SINGLE_SIGN_SHIFT; |
| 187 | const uint32_t uSingleSignificand = uSingle & SINGLE_SIGNIFICAND_MASK; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 188 | |
| 189 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 190 | // Now convert the three parts to half-precision. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 191 | |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 192 | // All works is done on uint32_t with conversion to uint16_t at |
| 193 | // the end. This avoids integer promotions that static analyzers |
| 194 | // complain about and reduces code size. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 195 | uint32_t uHalfSign, uHalfSignificand, uHalfBiasedExponent; |
| 196 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 197 | if(nSingleUnbiasedExponent == SINGLE_EXPONENT_INF_OR_NAN) { |
| 198 | // +/- Infinity and NaNs -- single biased exponent is 0xff |
| 199 | uHalfBiasedExponent = HALF_EXPONENT_INF_OR_NAN + HALF_EXPONENT_BIAS; |
| 200 | if(!uSingleSignificand) { |
| 201 | // Infinity |
| 202 | uHalfSignificand = 0; |
| 203 | } else { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 204 | // Copy the LSBs of the NaN payload that will fit from the |
| 205 | // single to the half |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 206 | uHalfSignificand = uSingleSignificand & (HALF_SIGNIFICAND_MASK & ~HALF_QUIET_NAN_BIT); |
| 207 | if(uSingleSignificand & SINGLE_QUIET_NAN_BIT) { |
| 208 | // It's a qNaN; copy the qNaN bit |
| 209 | uHalfSignificand |= HALF_QUIET_NAN_BIT; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 210 | } else { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 211 | // It's an sNaN; make sure the significand is not zero |
| 212 | // so it stays a NaN This is needed because not all |
| 213 | // significand bits are copied from single |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 214 | if(!uHalfSignificand) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 215 | // Set the LSB. This is what wikipedia shows for |
| 216 | // sNAN. |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 217 | uHalfSignificand |= 0x01; |
| 218 | } |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 219 | } |
| 220 | } |
| 221 | } else if(nSingleUnbiasedExponent == SINGLE_EXPONENT_ZERO) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 222 | // 0 or a subnormal number -- singled biased exponent is 0 |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 223 | uHalfBiasedExponent = 0; |
| 224 | uHalfSignificand = 0; // Any subnormal single will be too small to express as a half precision |
| 225 | } else if(nSingleUnbiasedExponent > HALF_EXPONENT_MAX) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 226 | // Exponent is too large to express in half-precision; round |
| 227 | // up to infinity |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 228 | uHalfBiasedExponent = HALF_EXPONENT_INF_OR_NAN + HALF_EXPONENT_BIAS; |
| 229 | uHalfSignificand = 0; |
| 230 | } else if(nSingleUnbiasedExponent < HALF_EXPONENT_MIN) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 231 | // Exponent is too small to express in half-precision normal; |
| 232 | // make it a half-precision subnormal |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 233 | uHalfBiasedExponent = HALF_EXPONENT_ZERO + HALF_EXPONENT_BIAS; |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 234 | uHalfSignificand = 0; |
| 235 | // Could convert some of these values to a half-precision |
| 236 | // subnormal, but the layer above this will never use it. See |
| 237 | // layer above. There is code to do this in github history |
| 238 | // for this file, but it was removed because it was never |
| 239 | // invoked. |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 240 | } else { |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 241 | // The normal case, exponent is in range for half-precision |
| 242 | uHalfBiasedExponent = (uint32_t)(nSingleUnbiasedExponent + HALF_EXPONENT_BIAS); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 243 | uHalfSignificand = uSingleSignificand >> (SINGLE_NUM_SIGNIFICAND_BITS - HALF_NUM_SIGNIFICAND_BITS); |
| 244 | } |
| 245 | uHalfSign = uSingleSign; |
| 246 | |
| 247 | // Put the 3 values in the right place for a half precision |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 248 | const uint32_t uHalfPrecision = uHalfSignificand | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 249 | (uHalfBiasedExponent << HALF_EXPONENT_SHIFT) | |
| 250 | (uHalfSign << HALF_SIGN_SHIFT); |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 251 | // Cast is safe because all the masks and shifts above work to |
| 252 | // make a half precision value which is only 16 bits. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 253 | return (uint16_t)uHalfPrecision; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 254 | } |
| 255 | |
| 256 | |
| 257 | // Public function; see ieee754.h |
Laurence Lundblade | cc2ed34 | 2018-09-22 17:29:55 -0700 | [diff] [blame] | 258 | uint16_t IEEE754_DoubleToHalf(double d) |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 259 | { |
| 260 | // Pull the three parts out of the double-precision float |
| 261 | const uint64_t uDouble = CopyDoubleToUint64(d); |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 262 | const int64_t nDoubleUnbiasedExponent = (int64_t)((uDouble & DOUBLE_EXPONENT_MASK) >> DOUBLE_EXPONENT_SHIFT) - DOUBLE_EXPONENT_BIAS; |
| 263 | const uint64_t uDoubleSign = (uDouble & DOUBLE_SIGN_MASK) >> DOUBLE_SIGN_SHIFT; |
| 264 | const uint64_t uDoubleSignificand = uDouble & DOUBLE_SIGNIFICAND_MASK; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 265 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 266 | // Now convert the three parts to half-precision. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 267 | |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 268 | // All works is done on uint64_t with conversion to uint16_t at |
| 269 | // the end. This avoids integer promotions that static analyzers |
| 270 | // complain about. Other options are for these to be unsigned int |
| 271 | // or fast_int16_t. Code size doesn't vary much between all these |
| 272 | // options for 64-bit LLVM, 64-bit GCC and 32-bit Armv7 LLVM. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 273 | uint64_t uHalfSign, uHalfSignificand, uHalfBiasedExponent; |
| 274 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 275 | if(nDoubleUnbiasedExponent == DOUBLE_EXPONENT_INF_OR_NAN) { |
| 276 | // +/- Infinity and NaNs -- single biased exponent is 0xff |
| 277 | uHalfBiasedExponent = HALF_EXPONENT_INF_OR_NAN + HALF_EXPONENT_BIAS; |
| 278 | if(!uDoubleSignificand) { |
| 279 | // Infinity |
| 280 | uHalfSignificand = 0; |
| 281 | } else { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 282 | // Copy the LSBs of the NaN payload that will fit from the |
| 283 | // double to the half |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 284 | uHalfSignificand = uDoubleSignificand & (HALF_SIGNIFICAND_MASK & ~HALF_QUIET_NAN_BIT); |
| 285 | if(uDoubleSignificand & DOUBLE_QUIET_NAN_BIT) { |
| 286 | // It's a qNaN; copy the qNaN bit |
| 287 | uHalfSignificand |= HALF_QUIET_NAN_BIT; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 288 | } else { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 289 | // It's an sNaN; make sure the significand is not zero |
| 290 | // so it stays a NaN This is needed because not all |
| 291 | // significand bits are copied from single |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 292 | if(!uHalfSignificand) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 293 | // Set the LSB. This is what wikipedia shows for |
| 294 | // sNAN. |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 295 | uHalfSignificand |= 0x01; |
| 296 | } |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 297 | } |
| 298 | } |
| 299 | } else if(nDoubleUnbiasedExponent == DOUBLE_EXPONENT_ZERO) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 300 | // 0 or a subnormal number -- double biased exponent is 0 |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 301 | uHalfBiasedExponent = 0; |
| 302 | uHalfSignificand = 0; // Any subnormal single will be too small to express as a half precision; TODO, is this really true? |
| 303 | } else if(nDoubleUnbiasedExponent > HALF_EXPONENT_MAX) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 304 | // Exponent is too large to express in half-precision; round |
| 305 | // up to infinity; TODO, is this really true? |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 306 | uHalfBiasedExponent = HALF_EXPONENT_INF_OR_NAN + HALF_EXPONENT_BIAS; |
| 307 | uHalfSignificand = 0; |
| 308 | } else if(nDoubleUnbiasedExponent < HALF_EXPONENT_MIN) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 309 | // Exponent is too small to express in half-precision; round |
| 310 | // down to zero |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 311 | uHalfBiasedExponent = HALF_EXPONENT_ZERO + HALF_EXPONENT_BIAS; |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 312 | uHalfSignificand = 0; |
| 313 | // Could convert some of these values to a half-precision |
| 314 | // subnormal, but the layer above this will never use it. See |
| 315 | // layer above. There is code to do this in github history |
| 316 | // for this file, but it was removed because it was never |
| 317 | // invoked. |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 318 | } else { |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 319 | // The normal case, exponent is in range for half-precision |
| 320 | uHalfBiasedExponent = (uint32_t)(nDoubleUnbiasedExponent + HALF_EXPONENT_BIAS); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 321 | uHalfSignificand = uDoubleSignificand >> (DOUBLE_NUM_SIGNIFICAND_BITS - HALF_NUM_SIGNIFICAND_BITS); |
| 322 | } |
| 323 | uHalfSign = uDoubleSign; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 324 | |
| 325 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 326 | // Put the 3 values in the right place for a half precision |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 327 | const uint64_t uHalfPrecision = uHalfSignificand | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 328 | (uHalfBiasedExponent << HALF_EXPONENT_SHIFT) | |
| 329 | (uHalfSign << HALF_SIGN_SHIFT); |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 330 | // Cast is safe because all the masks and shifts above work to |
| 331 | // make a half precision value which is only 16 bits. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 332 | return (uint16_t)uHalfPrecision; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 333 | } |
| 334 | |
| 335 | |
Laurence Lundblade | fe09bbf | 2020-07-16 12:14:51 -0700 | [diff] [blame] | 336 | /* |
| 337 | EEE754_HalfToFloat() was created but is not needed. It can be retrieved from |
| 338 | github history if needed. |
| 339 | */ |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 340 | |
| 341 | |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 342 | // Public function; see ieee754.h |
| 343 | double IEEE754_HalfToDouble(uint16_t uHalfPrecision) |
| 344 | { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 345 | // Pull out the three parts of the half-precision float. Do all |
| 346 | // the work in 64 bits because that is what the end result is. It |
| 347 | // may give smaller code size and will keep static analyzers |
| 348 | // happier. |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 349 | const uint64_t uHalfSignificand = uHalfPrecision & HALF_SIGNIFICAND_MASK; |
| 350 | const int64_t nHalfUnBiasedExponent = (int64_t)((uHalfPrecision & HALF_EXPONENT_MASK) >> HALF_EXPONENT_SHIFT) - HALF_EXPONENT_BIAS; |
| 351 | const uint64_t uHalfSign = (uHalfPrecision & HALF_SIGN_MASK) >> HALF_SIGN_SHIFT; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 352 | |
| 353 | |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 354 | // Make the three parts of hte single-precision number |
| 355 | uint64_t uDoubleSignificand, uDoubleSign, uDoubleBiasedExponent; |
| 356 | if(nHalfUnBiasedExponent == HALF_EXPONENT_ZERO) { |
| 357 | // 0 or subnormal |
| 358 | uDoubleBiasedExponent = DOUBLE_EXPONENT_ZERO + DOUBLE_EXPONENT_BIAS; |
| 359 | if(uHalfSignificand) { |
| 360 | // Subnormal case |
| 361 | uDoubleBiasedExponent = -HALF_EXPONENT_BIAS + DOUBLE_EXPONENT_BIAS +1; |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 362 | // A half-precision subnormal can always be converted to a |
| 363 | // normal double-precision float because the ranges line |
| 364 | // up |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 365 | uDoubleSignificand = uHalfSignificand; |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 366 | // Shift bits from right of the decimal to left, reducing |
| 367 | // the exponent by 1 each time |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 368 | do { |
| 369 | uDoubleSignificand <<= 1; |
| 370 | uDoubleBiasedExponent--; |
| 371 | } while ((uDoubleSignificand & 0x400) == 0); |
| 372 | uDoubleSignificand &= HALF_SIGNIFICAND_MASK; |
| 373 | uDoubleSignificand <<= (DOUBLE_NUM_SIGNIFICAND_BITS - HALF_NUM_SIGNIFICAND_BITS); |
| 374 | } else { |
| 375 | // Just zero |
| 376 | uDoubleSignificand = 0; |
| 377 | } |
| 378 | } else if(nHalfUnBiasedExponent == HALF_EXPONENT_INF_OR_NAN) { |
| 379 | // NaN or Inifinity |
| 380 | uDoubleBiasedExponent = DOUBLE_EXPONENT_INF_OR_NAN + DOUBLE_EXPONENT_BIAS; |
| 381 | if(uHalfSignificand) { |
| 382 | // NaN |
| 383 | // First preserve the NaN payload from half to single |
| 384 | uDoubleSignificand = uHalfSignificand & ~HALF_QUIET_NAN_BIT; |
| 385 | if(uHalfSignificand & HALF_QUIET_NAN_BIT) { |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 386 | // Next, set qNaN if needed since half qNaN bit is not |
| 387 | // copied above |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 388 | uDoubleSignificand |= DOUBLE_QUIET_NAN_BIT; |
| 389 | } |
| 390 | } else { |
| 391 | // Infinity |
| 392 | uDoubleSignificand = 0; |
| 393 | } |
| 394 | } else { |
| 395 | // Normal number |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 396 | uDoubleBiasedExponent = (uint64_t)(nHalfUnBiasedExponent + DOUBLE_EXPONENT_BIAS); |
| 397 | uDoubleSignificand = uHalfSignificand << (DOUBLE_NUM_SIGNIFICAND_BITS - HALF_NUM_SIGNIFICAND_BITS); |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 398 | } |
| 399 | uDoubleSign = uHalfSign; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 400 | |
| 401 | |
Laurence Lundblade | 67bd551 | 2018-11-02 21:44:06 +0700 | [diff] [blame] | 402 | // Shift the 3 parts into place as a double-precision |
| 403 | const uint64_t uDouble = uDoubleSignificand | |
| 404 | (uDoubleBiasedExponent << DOUBLE_EXPONENT_SHIFT) | |
| 405 | (uDoubleSign << DOUBLE_SIGN_SHIFT); |
| 406 | return CopyUint64ToDouble(uDouble); |
| 407 | } |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 408 | |
| 409 | |
Laurence Lundblade | 9682a53 | 2020-06-06 18:33:04 -0700 | [diff] [blame] | 410 | |
Laurence Lundblade | f7c0adb | 2020-08-08 20:20:58 -0700 | [diff] [blame] | 411 | /* |
| 412 | IEEE754_FloatToDouble(uint32_t uFloat) was created but is not needed. It can be retrieved from |
| 413 | github history if needed. |
| 414 | */ |
Laurence Lundblade | 9682a53 | 2020-06-06 18:33:04 -0700 | [diff] [blame] | 415 | |
| 416 | |
| 417 | |
| 418 | // Public function; see ieee754.h |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 419 | IEEE754_union IEEE754_FloatToSmallest(float f) |
| 420 | { |
| 421 | IEEE754_union result; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 422 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 423 | // Pull the neeed two parts out of the single-precision float |
| 424 | const uint32_t uSingle = CopyFloatToUint32(f); |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 425 | const int32_t nSingleExponent = (int32_t)((uSingle & SINGLE_EXPONENT_MASK) >> SINGLE_EXPONENT_SHIFT) - SINGLE_EXPONENT_BIAS; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 426 | const uint32_t uSingleSignificand = uSingle & SINGLE_SIGNIFICAND_MASK; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 427 | |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 428 | // Bit mask that is the significand bits that would be lost when |
| 429 | // converting from single-precision to half-precision |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 430 | const uint64_t uDroppedSingleBits = SINGLE_SIGNIFICAND_MASK >> HALF_NUM_SIGNIFICAND_BITS; |
| 431 | |
Laurence Lundblade | 576aa0c | 2020-07-21 21:36:52 -0700 | [diff] [blame] | 432 | // Optimizer will re organize so there is only one call to |
| 433 | // IEEE754_FloatToHalf() in the final code. |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 434 | if(uSingle == 0) { |
| 435 | // Value is 0.0000, not a a subnormal |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 436 | result.uSize = IEEE754_UNION_IS_HALF; |
| 437 | result.uValue = IEEE754_FloatToHalf(f); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 438 | } else if(nSingleExponent == SINGLE_EXPONENT_INF_OR_NAN) { |
| 439 | // NaN, +/- infinity |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 440 | result.uSize = IEEE754_UNION_IS_HALF; |
| 441 | result.uValue = IEEE754_FloatToHalf(f); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 442 | } else if((nSingleExponent >= HALF_EXPONENT_MIN) && nSingleExponent <= HALF_EXPONENT_MAX && (!(uSingleSignificand & uDroppedSingleBits))) { |
| 443 | // Normal number in exponent range and precision won't be lost |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 444 | result.uSize = IEEE754_UNION_IS_HALF; |
| 445 | result.uValue = IEEE754_FloatToHalf(f); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 446 | } else { |
| 447 | // Subnormal, exponent out of range, or precision will be lost |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 448 | result.uSize = IEEE754_UNION_IS_SINGLE; |
| 449 | result.uValue = uSingle; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 450 | } |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 451 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 452 | return result; |
| 453 | } |
| 454 | |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame] | 455 | // Public function; see ieee754.h |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 456 | IEEE754_union IEEE754_DoubleToSmallestInternal(double d, int bAllowHalfPrecision) |
| 457 | { |
| 458 | IEEE754_union result; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 459 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 460 | // Pull the needed two parts out of the double-precision float |
| 461 | const uint64_t uDouble = CopyDoubleToUint64(d); |
Laurence Lundblade | c5fef68 | 2020-01-25 11:38:45 -0800 | [diff] [blame] | 462 | const int64_t nDoubleExponent = (int64_t)((uDouble & DOUBLE_EXPONENT_MASK) >> DOUBLE_EXPONENT_SHIFT) - DOUBLE_EXPONENT_BIAS; |
Laurence Lundblade | e17e2d7 | 2020-07-16 19:15:26 -0700 | [diff] [blame] | 463 | const uint64_t uDoubleSignificand = uDouble & DOUBLE_SIGNIFICAND_MASK; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 464 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 465 | // Masks to check whether dropped significand bits are zero or not |
Laurence Lundblade | b992fdb | 2020-07-20 22:44:11 -0700 | [diff] [blame] | 466 | const uint64_t uDroppedHalfBits = DOUBLE_SIGNIFICAND_MASK >> HALF_NUM_SIGNIFICAND_BITS; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 467 | const uint64_t uDroppedSingleBits = DOUBLE_SIGNIFICAND_MASK >> SINGLE_NUM_SIGNIFICAND_BITS; |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 468 | |
Laurence Lundblade | 29ec464 | 2020-07-21 21:11:45 -0700 | [diff] [blame] | 469 | // This will not convert to half-precion or single-precision |
| 470 | // subnormals. Values that could be converted will be output as |
| 471 | // the double they are or occasionally to a normal single. This |
| 472 | // could be implemented, but it is more code and would rarely be |
| 473 | // used and rarely reduce the output size. |
Laurence Lundblade | b992fdb | 2020-07-20 22:44:11 -0700 | [diff] [blame] | 474 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 475 | // The various cases |
Laurence Lundblade | d711fb2 | 2018-09-26 14:35:22 -0700 | [diff] [blame] | 476 | if(d == 0.0) { // Take care of positive and negative zero |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 477 | // Value is 0.0000, not a a subnormal |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 478 | result.uSize = IEEE754_UNION_IS_HALF; |
| 479 | result.uValue = IEEE754_DoubleToHalf(d); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 480 | } else if(nDoubleExponent == DOUBLE_EXPONENT_INF_OR_NAN) { |
| 481 | // NaN, +/- infinity |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 482 | result.uSize = IEEE754_UNION_IS_HALF; |
| 483 | result.uValue = IEEE754_DoubleToHalf(d); |
Laurence Lundblade | b992fdb | 2020-07-20 22:44:11 -0700 | [diff] [blame] | 484 | } else if(bAllowHalfPrecision && (nDoubleExponent >= HALF_EXPONENT_MIN) && nDoubleExponent <= HALF_EXPONENT_MAX && (!(uDoubleSignificand & uDroppedHalfBits))) { |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 485 | // Can convert to half without precision loss |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 486 | result.uSize = IEEE754_UNION_IS_HALF; |
| 487 | result.uValue = IEEE754_DoubleToHalf(d); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 488 | } else if((nDoubleExponent >= SINGLE_EXPONENT_MIN) && nDoubleExponent <= SINGLE_EXPONENT_MAX && (!(uDoubleSignificand & uDroppedSingleBits))) { |
| 489 | // Can convert to single without precision loss |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 490 | result.uSize = IEEE754_UNION_IS_SINGLE; |
| 491 | result.uValue = CopyFloatToUint32((float)d); |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 492 | } else { |
| 493 | // Can't convert without precision loss |
Laurence Lundblade | 577d821 | 2018-11-01 14:04:08 +0700 | [diff] [blame] | 494 | result.uSize = IEEE754_UNION_IS_DOUBLE; |
| 495 | result.uValue = uDouble; |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 496 | } |
Laurence Lundblade | 3aee3a3 | 2018-12-17 16:17:45 -0800 | [diff] [blame] | 497 | |
Laurence Lundblade | 12d32c5 | 2018-09-19 11:25:27 -0700 | [diff] [blame] | 498 | return result; |
| 499 | } |
| 500 | |
Laurence Lundblade | fe09bbf | 2020-07-16 12:14:51 -0700 | [diff] [blame] | 501 | #else |
| 502 | |
| 503 | int x; |
| 504 | |
Laurence Lundblade | b275cdc | 2020-07-12 12:34:38 -0700 | [diff] [blame] | 505 | #endif /* QCBOR_DISABLE_PREFERRED_FLOAT */ |