Laurence Lundblade | 68a1335 | 2018-09-23 02:19:54 -0700 | [diff] [blame] | 1 | /*============================================================================== |
| 2 | Copyright 2018 Laurence Lundblade |
| 3 | |
| 4 | Permission is hereby granted, free of charge, to any person obtaining |
| 5 | a copy of this software and associated documentation files (the |
| 6 | "Software"), to deal in the Software without restriction, including |
| 7 | without limitation the rights to use, copy, modify, merge, publish, |
| 8 | distribute, sublicense, and/or sell copies of the Software, and to |
| 9 | permit persons to whom the Software is furnished to do so, subject to |
| 10 | the following conditions: |
| 11 | |
| 12 | The above copyright notice and this permission notice shall be included |
| 13 | in all copies or substantial portions of the Software. |
| 14 | |
| 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
| 16 | EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
| 17 | MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
| 18 | NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS |
| 19 | BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN |
| 20 | ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN |
| 21 | CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
| 22 | SOFTWARE. |
| 23 | |
| 24 | (This is the MIT license) |
| 25 | ==============================================================================*/ |
| 26 | // |
| 27 | // half_precision_test.c |
| 28 | // QCBOR |
| 29 | // |
| 30 | // Created by Laurence Lundblade on 9/19/18. |
| 31 | // Copyright © 2018 Laurence Lundblade. All rights reserved. |
| 32 | // |
| 33 | |
| 34 | #include "half_precision_test.h" |
| 35 | #include "qcbor.h" |
Laurence Lundblade | d711fb2 | 2018-09-26 14:35:22 -0700 | [diff] [blame] | 36 | #include "half_to_double_from_rfc7049.h" |
| 37 | #include <math.h> // For INFINITY and NAN and isnan() |
Laurence Lundblade | 68a1335 | 2018-09-23 02:19:54 -0700 | [diff] [blame] | 38 | |
| 39 | static const uint8_t ExpectedHalf[] = { |
| 40 | 0xAD, |
| 41 | 0x64, |
| 42 | 0x7A, 0x65, 0x72, 0x6F, |
| 43 | 0xF9, 0x00, 0x00, // 0.000 |
| 44 | 0x6A, |
| 45 | 0x69, 0x6E, 0x66, 0x69, 0x6E, 0x69, 0x74, 0x69, 0x74, 0x79, |
| 46 | 0xF9, 0x7C, 0x00, // Infinity |
| 47 | 0x73, |
| 48 | 0x6E, 0x65, 0x67, 0x61, 0x74, 0x69, 0x76, 0x65, 0x20, 0x69, 0x6E, 0x66, 0x69, 0x6E, 0x69, 0x74, 0x69, 0x74, 0x79, |
| 49 | 0xF9, 0xFC, 0x00, // -Inifinity |
| 50 | 0x63, |
| 51 | 0x4E, 0x61, 0x4E, |
| 52 | 0xF9, 0x7E, 0x00, // NaN |
| 53 | 0x63, |
| 54 | 0x6F, 0x6E, 0x65, |
| 55 | 0xF9, 0x3C, 0x00, // 1.0 |
| 56 | 0x69, |
| 57 | 0x6F, 0x6E, 0x65, 0x20, 0x74, 0x68, 0x69, 0x72, 0x64, |
| 58 | 0xF9, 0x35, 0x55, // 0.333251953125 |
| 59 | 0x76, |
| 60 | 0x6C, 0x61, 0x72, 0x67, 0x65, 0x73, 0x74, 0x20, 0x68, 0x61, 0x6C, 0x66, 0x2D, 0x70, 0x72, 0x65, 0x63, 0x69, 0x73, 0x69, 0x6F, 0x6E, |
| 61 | 0xF9, 0x7B, 0xFF, // 65504.0 |
| 62 | 0x78, 0x18, 0x74, 0x6F, 0x6F, 0x2D, 0x6C, 0x61, 0x72, 0x67, 0x65, 0x20, 0x68, 0x61, 0x6C, 0x66, 0x2D, 0x70, 0x72, 0x65, 0x63, 0x69, 0x73, 0x69, 0x6F, 0x6E, |
| 63 | 0xF9, 0x7C, 0x00, // Infinity |
| 64 | 0x72, |
| 65 | 0x73, 0x6D, 0x61, 0x6C, 0x6C, 0x65, 0x73, 0x74, 0x20, 0x73, 0x75, 0x62, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, |
| 66 | 0xF9, 0x00, 0x01, // 0.000000059604 |
| 67 | 0x6F, |
| 68 | 0x73, 0x6D, 0x61, 0x6C, 0x6C, 0x65, 0x73, 0x74, 0x20, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, |
| 69 | 0xF9, 0x03, 0xFF, // 0.0000609755516 |
| 70 | 0x71, |
| 71 | 0x62, 0x69, 0x67, 0x67, 0x65, 0x73, 0x74, 0x20, 0x73, 0x75, 0x62, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, |
| 72 | 0xF9, 0x04, 0x00, // 0.000061988 |
| 73 | 0x70, |
| 74 | 0x73, 0x75, 0x62, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, 0x20, 0x73, 0x69, 0x6E, 0x67, 0x6C, 0x65, |
| 75 | 0xF9, 0x00, 0x00, |
| 76 | 0x03, |
| 77 | 0xF9, 0xC0, 0x00 // -2.0 |
| 78 | }; |
| 79 | |
| 80 | |
| 81 | |
| 82 | int half_precision_encode_basic() |
| 83 | { |
| 84 | UsefulBuf_MakeStackUB(EncodedHalfsMem, 220); |
| 85 | |
| 86 | QCBOREncodeContext EC; |
| 87 | QCBOREncode_Init(&EC, EncodedHalfsMem); |
| 88 | // These are mostly from https://en.wikipedia.org/wiki/Half-precision_floating-point_format |
| 89 | QCBOREncode_OpenMap(&EC); |
| 90 | QCBOREncode_AddFloatAsHalfToMap(&EC, "zero", 0.00F); |
| 91 | QCBOREncode_AddFloatAsHalfToMap(&EC, "infinitity", INFINITY); |
| 92 | QCBOREncode_AddFloatAsHalfToMap(&EC, "negative infinitity", -INFINITY); |
| 93 | QCBOREncode_AddFloatAsHalfToMap(&EC, "NaN", NAN); |
| 94 | QCBOREncode_AddFloatAsHalfToMap(&EC, "one", 1.0F); |
| 95 | QCBOREncode_AddFloatAsHalfToMap(&EC, "one third", 0.333251953125F); |
| 96 | QCBOREncode_AddFloatAsHalfToMap(&EC, "largest half-precision",65504.0F); |
| 97 | // Float 65536.0F is 0x47800000 in hex. It has an exponent of 16, which is larger than 15, the largest half-precision exponent |
| 98 | QCBOREncode_AddFloatAsHalfToMap(&EC, "too-large half-precision", 65536.0F); |
| 99 | // Should convert to smallest possible half precision which is encodded as 0x00 0x01 or 5.960464477539063e-8 |
Laurence Lundblade | d711fb2 | 2018-09-26 14:35:22 -0700 | [diff] [blame] | 100 | QCBOREncode_AddFloatAsHalfToMap(&EC, "smallest subnormal", 0.0000000596046448F); |
Laurence Lundblade | 68a1335 | 2018-09-23 02:19:54 -0700 | [diff] [blame] | 101 | QCBOREncode_AddFloatAsHalfToMap(&EC, "smallest normal", 0.0000610351526F); // in hex single is 0x387fffff, exponent -15, significand 7fffff |
| 102 | QCBOREncode_AddFloatAsHalfToMap(&EC, "biggest subnormal", 0.0000610351563F); // in hex single is 0x38800000, exponent -14, significand 0 |
| 103 | QCBOREncode_AddFloatAsHalfToMap(&EC, "subnormal single", 4e-40F); |
| 104 | QCBOREncode_AddFloatAsHalfToMapN(&EC, 3, -2.0F); |
| 105 | QCBOREncode_CloseMap(&EC); |
| 106 | |
| 107 | EncodedCBOR EncodedHalfs; |
Laurence Lundblade | 68a1335 | 2018-09-23 02:19:54 -0700 | [diff] [blame] | 108 | int nReturn = QCBOREncode_Finish2(&EC, &EncodedHalfs); |
Laurence Lundblade | 68a1335 | 2018-09-23 02:19:54 -0700 | [diff] [blame] | 109 | if(nReturn) { |
| 110 | return -1; |
| 111 | } |
| 112 | |
| 113 | if(UsefulBuf_Compare(EncodedHalfs.Bytes, UsefulBuf_FromByteArrayLiteral(ExpectedHalf))) { |
| 114 | return -3; |
| 115 | } |
| 116 | |
| 117 | return 0; |
| 118 | } |
| 119 | |
| 120 | |
| 121 | int half_precision_decode_basic() |
| 122 | { |
| 123 | UsefulBufC HalfPrecision = UsefulBuf_FromByteArrayLiteral(ExpectedHalf); |
| 124 | |
| 125 | QCBORDecodeContext DC; |
| 126 | QCBORDecode_Init(&DC, HalfPrecision, 0); |
| 127 | |
| 128 | QCBORItem Item; |
| 129 | |
| 130 | QCBORDecode_GetNext(&DC, &Item); |
| 131 | if(Item.uDataType != QCBOR_TYPE_MAP) { |
| 132 | return -1; |
| 133 | } |
| 134 | |
| 135 | QCBORDecode_GetNext(&DC, &Item); |
| 136 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 0.0F) { |
| 137 | return -1; |
| 138 | } |
| 139 | |
| 140 | QCBORDecode_GetNext(&DC, &Item); |
| 141 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != INFINITY) { |
| 142 | return -1; |
| 143 | } |
| 144 | |
| 145 | QCBORDecode_GetNext(&DC, &Item); |
| 146 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != -INFINITY) { |
| 147 | return -1; |
| 148 | } |
| 149 | |
| 150 | QCBORDecode_GetNext(&DC, &Item); // TODO, is this really converting right? It is carrying payload, but this confuses things. |
| 151 | if(Item.uDataType != QCBOR_TYPE_FLOAT || !isnan(Item.val.fnum)) { |
| 152 | return -1; |
| 153 | } |
| 154 | |
| 155 | QCBORDecode_GetNext(&DC, &Item); |
| 156 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 1.0F) { |
| 157 | return -1; |
| 158 | } |
| 159 | |
| 160 | QCBORDecode_GetNext(&DC, &Item); |
| 161 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 0.333251953125F) { |
| 162 | return -1; |
| 163 | } |
| 164 | |
| 165 | QCBORDecode_GetNext(&DC, &Item); |
| 166 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 65504.0F) { |
| 167 | return -1; |
| 168 | } |
| 169 | |
| 170 | QCBORDecode_GetNext(&DC, &Item); |
| 171 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != INFINITY) { |
| 172 | return -1; |
| 173 | } |
| 174 | |
| 175 | QCBORDecode_GetNext(&DC, &Item); // TODO: check this |
| 176 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 0.0000000596046448F) { |
| 177 | return -1; |
| 178 | } |
| 179 | |
| 180 | QCBORDecode_GetNext(&DC, &Item); // TODO: check this |
| 181 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 0.0000609755516F) { |
| 182 | return -1; |
| 183 | } |
| 184 | |
| 185 | QCBORDecode_GetNext(&DC, &Item); // TODO check this |
| 186 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 0.0000610351563F) { |
| 187 | return -1; |
| 188 | } |
| 189 | |
| 190 | QCBORDecode_GetNext(&DC, &Item); |
| 191 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != 0) { |
| 192 | return -1; |
| 193 | } |
| 194 | |
| 195 | QCBORDecode_GetNext(&DC, &Item); |
| 196 | if(Item.uDataType != QCBOR_TYPE_FLOAT || Item.val.fnum != -2.0F) { |
| 197 | return -1; |
| 198 | } |
| 199 | |
| 200 | if(QCBORDecode_Finish(&DC)) { |
| 201 | return -1; |
| 202 | } |
| 203 | |
| 204 | return 0; |
| 205 | } |
Laurence Lundblade | d711fb2 | 2018-09-26 14:35:22 -0700 | [diff] [blame] | 206 | |
| 207 | |
| 208 | int half_precision_to_float_transitive_test() |
| 209 | { |
| 210 | for(uint32_t uHalfP = 0; uHalfP < 0xffff; uHalfP += 1) { |
| 211 | // Contruct the CBOR for the half-precision float by hand |
| 212 | UsefulBuf_MakeStackUB(EncodedCBORMem, 3); |
| 213 | UsefulOutBuf UOB; |
| 214 | UsefulOutBuf_Init(&UOB, EncodedCBORMem); |
| 215 | |
| 216 | const uint8_t uHalfPrecInitialByte = HALF_PREC_FLOAT + (CBOR_MAJOR_TYPE_SIMPLE << 5); // 0xf9 |
| 217 | UsefulOutBuf_AppendByte(&UOB, uHalfPrecInitialByte); // The initial byte for a half-precision float |
| 218 | UsefulOutBuf_AppendUint16(&UOB, (uint16_t)uHalfP); |
| 219 | |
| 220 | |
| 221 | // Now parse the hand-constructed CBOR. This will invoke the conversion to a float |
| 222 | QCBORDecodeContext DC; |
| 223 | QCBORDecode_Init(&DC, UsefulOutBuf_OutUBuf(&UOB), 0); |
| 224 | |
| 225 | QCBORItem Item; |
| 226 | QCBORDecode_GetNext(&DC, &Item); |
| 227 | if(Item.uDataType != QCBOR_TYPE_FLOAT) { |
| 228 | return -1; |
| 229 | } |
| 230 | |
| 231 | //printf("%04x QCBOR:%15.15f \n", uHalfP,Item.val.fnum); |
| 232 | |
| 233 | |
| 234 | // Now generate CBOR with the half-precision value. This will invoke the conversion from float to half |
| 235 | UsefulBuf_MakeStackUB(OtherEncodedCBORMem, 5); |
| 236 | QCBOREncodeContext EC; |
| 237 | QCBOREncode_Init(&EC, OtherEncodedCBORMem); |
| 238 | QCBOREncode_AddFloatAsHalf(&EC, Item.val.fnum); |
| 239 | EncodedCBOR EnCBOR; |
| 240 | QCBOREncode_Finish2(&EC, &EnCBOR); // todo check return code |
| 241 | |
| 242 | |
| 243 | // Finally parse the CBOR by hand to get at half-precision that was actually encoded. |
| 244 | UsefulInputBuf UIB; |
| 245 | UsefulInputBuf_Init(&UIB, EnCBOR.Bytes); |
| 246 | if(UsefulInputBuf_GetByte(&UIB) != uHalfPrecInitialByte) { |
| 247 | return -2; |
| 248 | } |
| 249 | if(UsefulInputBuf_GetUint16(&UIB) != uHalfP) { // the moment of truth did we get back what we started with? |
| 250 | return -3; |
| 251 | } |
| 252 | } |
| 253 | |
| 254 | return 0; |
| 255 | } |
| 256 | |
| 257 | |
| 258 | int half_precision_to_float_vs_rfc_test() |
| 259 | { |
Laurence Lundblade | 8db3d3e | 2018-09-29 11:46:37 -0700 | [diff] [blame^] | 260 | for(uint32_t uHalfP = 0; uHalfP < 0xffff; uHalfP += 1) { |
Laurence Lundblade | d711fb2 | 2018-09-26 14:35:22 -0700 | [diff] [blame] | 261 | unsigned char x[2]; |
| 262 | x[1] = uHalfP & 0xff; |
| 263 | x[0] = uHalfP >> 8; |
| 264 | double d = decode_half(x); |
| 265 | |
| 266 | // Contruct the CBOR for the half-precision float by hand |
| 267 | UsefulBuf_MakeStackUB(__xx, 3); |
| 268 | UsefulOutBuf UOB; |
| 269 | UsefulOutBuf_Init(&UOB, __xx); |
| 270 | |
| 271 | const uint8_t uHalfPrecInitialByte = HALF_PREC_FLOAT + (CBOR_MAJOR_TYPE_SIMPLE << 5); // 0xf9 |
| 272 | UsefulOutBuf_AppendByte(&UOB, uHalfPrecInitialByte); // The initial byte for a half-precision float |
| 273 | UsefulOutBuf_AppendUint16(&UOB, (uint16_t)uHalfP); |
| 274 | |
| 275 | // Now parse the hand-constructed CBOR. This will invoke the conversion to a float |
| 276 | QCBORDecodeContext DC; |
| 277 | QCBORDecode_Init(&DC, UsefulOutBuf_OutUBuf(&UOB), 0); |
| 278 | |
| 279 | QCBORItem Item; |
| 280 | |
| 281 | QCBORDecode_GetNext(&DC, &Item); |
| 282 | if(Item.uDataType != QCBOR_TYPE_FLOAT) { |
| 283 | return -1; |
| 284 | } |
| 285 | |
| 286 | //printf("%04x QCBOR:%15.15f RFC: %15.15f\n", uHalfP,Item.val.fnum, d ); |
| 287 | |
| 288 | if(Item.val.fnum != d) { |
| 289 | return -2; |
| 290 | } |
| 291 | } |
| 292 | return 0; |
| 293 | } |
| 294 | |
| 295 | |
| 296 | /* |
| 297 | {"zero": 0.0, "negative zero": -0.0, "infinitity": Infinity, "negative infinitity": -Infinity, "NaN": NaN, "one": 1.0, "one third": 0.333251953125, "largest half-precision": 65504.0, "largest half-precision point one": 65504.1, "too-large half-precision": 65536.0, "smallest subnormal": 5.96046448e-8, "smallest normal": 0.00006103515261202119, "biggest subnormal": 0.00006103515625, "subnormal single": 4.00000646641519e-40, 3: -2.0, "large single exp": 2.5521177519070385e+38, "too-large single exp": 5.104235503814077e+38, "biggest single with prec": 16777216.0, "first single with prec loss": 16777217.0, 1: "fin"} |
| 298 | |
| 299 | */ |
| 300 | static const uint8_t sExpectedSmallest[] = { |
| 301 | 0xB4, 0x64, 0x7A, 0x65, 0x72, 0x6F, 0xF9, 0x00, 0x00, 0x6D, 0x6E, 0x65, 0x67, 0x61, 0x74, 0x69, 0x76, 0x65, 0x20, 0x7A, 0x65, 0x72, 0x6F, 0xF9, 0x80, 0x00, 0x6A, 0x69, 0x6E, 0x66, 0x69, 0x6E, 0x69, 0x74, 0x69, 0x74, 0x79, 0xF9, 0x7C, 0x00, 0x73, 0x6E, 0x65, 0x67, 0x61, 0x74, 0x69, 0x76, 0x65, 0x20, 0x69, 0x6E, 0x66, 0x69, 0x6E, 0x69, 0x74, 0x69, 0x74, 0x79, 0xF9, 0xFC, 0x00, 0x63, 0x4E, 0x61, 0x4E, 0xF9, 0x7E, 0x00, 0x63, 0x6F, 0x6E, 0x65, 0xF9, 0x3C, 0x00, 0x69, 0x6F, 0x6E, 0x65, 0x20, 0x74, 0x68, 0x69, 0x72, 0x64, 0xF9, 0x35, 0x55, 0x76, 0x6C, 0x61, 0x72, 0x67, 0x65, 0x73, 0x74, 0x20, 0x68, 0x61, 0x6C, 0x66, 0x2D, 0x70, 0x72, 0x65, 0x63, 0x69, 0x73, 0x69, 0x6F, 0x6E, 0xF9, 0x7B, 0xFF, 0x78, 0x20, 0x6C, 0x61, 0x72, 0x67, 0x65, 0x73, 0x74, 0x20, 0x68, 0x61, 0x6C, 0x66, 0x2D, 0x70, 0x72, 0x65, 0x63, 0x69, 0x73, 0x69, 0x6F, 0x6E, 0x20, 0x70, 0x6F, 0x69, 0x6E, 0x74, 0x20, 0x6F, 0x6E, 0x65, 0xFB, 0x40, 0xEF, 0xFC, 0x03, 0x33, 0x33, 0x33, 0x33, 0x78, 0x18, 0x74, 0x6F, 0x6F, 0x2D, 0x6C, 0x61, 0x72, 0x67, 0x65, 0x20, 0x68, 0x61, 0x6C, 0x66, 0x2D, 0x70, 0x72, 0x65, 0x63, 0x69, 0x73, 0x69, 0x6F, 0x6E, 0xFA, 0x47, 0x80, 0x00, 0x00, 0x72, 0x73, 0x6D, 0x61, 0x6C, 0x6C, 0x65, 0x73, 0x74, 0x20, 0x73, 0x75, 0x62, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, 0xFB, 0x3E, 0x70, 0x00, 0x00, 0x00, 0x1C, 0x5F, 0x68, 0x6F, 0x73, 0x6D, 0x61, 0x6C, 0x6C, 0x65, 0x73, 0x74, 0x20, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, 0xFA, 0x38, 0x7F, 0xFF, 0xFF, 0x71, 0x62, 0x69, 0x67, 0x67, 0x65, 0x73, 0x74, 0x20, 0x73, 0x75, 0x62, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, 0xF9, 0x04, 0x00, 0x70, 0x73, 0x75, 0x62, 0x6E, 0x6F, 0x72, 0x6D, 0x61, 0x6C, 0x20, 0x73, 0x69, 0x6E, 0x67, 0x6C, 0x65, 0xFB, 0x37, 0xC1, 0x6C, 0x28, 0x00, 0x00, 0x00, 0x00, 0x03, 0xF9, 0xC0, 0x00, 0x70, 0x6C, 0x61, 0x72, 0x67, 0x65, 0x20, 0x73, 0x69, 0x6E, 0x67, 0x6C, 0x65, 0x20, 0x65, 0x78, 0x70, 0xFA, 0x7F, 0x40, 0x00, 0x00, 0x74, 0x74, 0x6F, 0x6F, 0x2D, 0x6C, 0x61, 0x72, 0x67, 0x65, 0x20, 0x73, 0x69, 0x6E, 0x67, 0x6C, 0x65, 0x20, 0x65, 0x78, 0x70, 0xFB, 0x47, 0xF8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x78, 0x18, 0x62, 0x69, 0x67, 0x67, 0x65, 0x73, 0x74, 0x20, 0x73, 0x69, 0x6E, 0x67, 0x6C, 0x65, 0x20, 0x77, 0x69, 0x74, 0x68, 0x20, 0x70, 0x72, 0x65, 0x63, 0xFA, 0x4B, 0x80, 0x00, 0x00, 0x78, 0x1B, 0x66, 0x69, 0x72, 0x73, 0x74, 0x20, 0x73, 0x69, 0x6E, 0x67, 0x6C, 0x65, 0x20, 0x77, 0x69, 0x74, 0x68, 0x20, 0x70, 0x72, 0x65, 0x63, 0x20, 0x6C, 0x6F, 0x73, 0x73, 0xFB, 0x41, 0x70, 0x00, 0x00, 0x10, 0x00, 0x00, 0x00, 0x01, 0x63, 0x66, 0x69, 0x6E |
| 302 | }; |
| 303 | |
| 304 | |
| 305 | int double_as_smallest_encode_basic() |
| 306 | { |
| 307 | UsefulBuf_MakeStackUB(EncodedHalfsMem, 420); |
| 308 | |
| 309 | QCBOREncodeContext EC; |
| 310 | QCBOREncode_Init(&EC, EncodedHalfsMem); |
| 311 | // These are mostly from https://en.wikipedia.org/wiki/Half-precision_floating-point_format |
| 312 | QCBOREncode_OpenMap(&EC); |
| 313 | // 64 # text(4) |
| 314 | // 7A65726F # "zero" |
| 315 | // F9 0000 # primitive(0) |
| 316 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "zero", 0.00); |
| 317 | |
| 318 | // 64 # text(4) |
| 319 | // 7A65726F # "negative zero" |
| 320 | // F9 8000 # primitive(0) |
| 321 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "negative zero", -0.00); |
| 322 | |
| 323 | // 6A # text(10) |
| 324 | // 696E66696E6974697479 # "infinitity" |
| 325 | // F9 7C00 # primitive(31744) |
| 326 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "infinitity", INFINITY); |
| 327 | |
| 328 | // 73 # text(19) |
| 329 | // 6E6567617469766520696E66696E6974697479 # "negative infinitity" |
| 330 | // F9 FC00 # primitive(64512) |
| 331 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "negative infinitity", -INFINITY); |
| 332 | |
| 333 | // 63 # text(3) |
| 334 | // 4E614E # "NaN" |
| 335 | // F9 7E00 # primitive(32256) |
| 336 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "NaN", NAN); |
| 337 | |
| 338 | // TODO: test a few NaN variants |
| 339 | |
| 340 | // 63 # text(3) |
| 341 | // 6F6E65 # "one" |
| 342 | // F9 3C00 # primitive(15360) |
| 343 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "one", 1.0); |
| 344 | |
| 345 | // 69 # text(9) |
| 346 | // 6F6E65207468697264 # "one third" |
| 347 | // F9 3555 # primitive(13653) |
| 348 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "one third", 0.333251953125); |
| 349 | |
| 350 | // 76 # text(22) |
| 351 | // 6C6172676573742068616C662D707265636973696F6E # "largest half-precision" |
| 352 | // F9 7BFF # primitive(31743) |
| 353 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "largest half-precision",65504.0); |
| 354 | |
| 355 | // 76 # text(22) |
| 356 | // 6C6172676573742068616C662D707265636973696F6E # "largest half-precision" |
| 357 | // F9 7BFF # primitive(31743) |
| 358 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "largest half-precision point one",65504.1); |
| 359 | |
| 360 | // Float 65536.0F is 0x47800000 in hex. It has an exponent of 16, which is larger than 15, the largest half-precision exponent |
| 361 | // 78 18 # text(24) |
| 362 | // 746F6F2D6C617267652068616C662D707265636973696F6E # "too-large half-precision" |
| 363 | // FA 47800000 # primitive(31743) |
| 364 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "too-large half-precision", 65536.0); |
| 365 | |
| 366 | // The smallest possible half-precision subnormal, but digitis are lost converting |
| 367 | // to half, so this turns into a double |
| 368 | // 72 # text(18) |
| 369 | // 736D616C6C657374207375626E6F726D616C # "smallest subnormal" |
| 370 | // FB 3E700000001C5F68 # primitive(4499096027744984936) |
| 371 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "smallest subnormal", 0.0000000596046448); |
| 372 | |
| 373 | // The smallest possible half-precision snormal, but digitis are lost converting |
| 374 | // to half, so this turns into a single TODO: confirm this is right |
| 375 | // 6F # text(15) |
| 376 | // 736D616C6C657374206E6F726D616C # "smallest normal" |
| 377 | // FA 387FFFFF # primitive(947912703) |
| 378 | // in hex single is 0x387fffff, exponent -15, significand 7fffff |
| 379 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "smallest normal", 0.0000610351526F); |
| 380 | |
| 381 | // 71 # text(17) |
| 382 | // 62696767657374207375626E6F726D616C # "biggest subnormal" |
| 383 | // F9 0400 # primitive(1024) |
| 384 | // in hex single is 0x38800000, exponent -14, significand 0 |
| 385 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "biggest subnormal", 0.0000610351563F); |
| 386 | |
| 387 | // 70 # text(16) |
| 388 | // 7375626E6F726D616C2073696E676C65 # "subnormal single" |
| 389 | // FB 37C16C2800000000 # primitive(4017611261645684736) |
| 390 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "subnormal single", 4e-40F); |
| 391 | |
| 392 | // 03 # unsigned(3) |
| 393 | // F9 C000 # primitive(49152) |
| 394 | QCBOREncode_AddDoubleAsSmallestToMapN(&EC, 3, -2.0); |
| 395 | |
| 396 | // 70 # text(16) |
| 397 | // 6C617267652073696E676C6520657870 # "large single exp" |
| 398 | // FA 7F400000 # primitive(2134900736) |
| 399 | // (0x01LL << (DOUBLE_NUM_SIGNIFICAND_BITS-1)) | ((127LL + DOUBLE_EXPONENT_BIAS) << DOUBLE_EXPONENT_SHIFT); |
| 400 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "large single exp", 2.5521177519070385E+38); // Exponent fits single |
| 401 | |
| 402 | // 74 # text(20) |
| 403 | // 746F6F2D6C617267652073696E676C6520657870 # "too-large single exp" |
| 404 | // FB 47F8000000000000 # primitive(5185894970917126144) |
| 405 | // (0x01LL << (DOUBLE_NUM_SIGNIFICAND_BITS-1)) | ((128LL + DOUBLE_EXPONENT_BIAS) << DOUBLE_EXPONENT_SHIFT); |
| 406 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "too-large single exp", 5.104235503814077E+38); // Exponent too large for single |
| 407 | |
| 408 | // 66 # text(6) |
| 409 | // 646664666465 # "dfdfde" |
| 410 | // FA 4B800000 # primitive(1266679808) |
| 411 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "biggest single with prec",16777216); // Single with no precision loss |
| 412 | |
| 413 | // 78 18 # text(24) |
| 414 | // 626967676573742073696E676C6520776974682070726563 # "biggest single with prec" |
| 415 | // FA 4B800000 # primitive(1266679808) |
| 416 | QCBOREncode_AddDoubleAsSmallestToMap(&EC, "first single with prec loss",16777217); // Double becuase of precision loss |
| 417 | |
| 418 | // Just a convenient marker when cutting and pasting encoded CBOR |
| 419 | QCBOREncode_AddSZStringToMapN(&EC, 1, "fin"); |
| 420 | |
| 421 | QCBOREncode_CloseMap(&EC); |
| 422 | |
| 423 | EncodedCBOR EncodedHalfs; |
| 424 | int nReturn = QCBOREncode_Finish2(&EC, &EncodedHalfs); |
| 425 | if(nReturn) { |
| 426 | return -1; |
| 427 | } |
| 428 | |
| 429 | if(UsefulBuf_Compare(EncodedHalfs.Bytes, UsefulBuf_FromByteArrayLiteral(sExpectedSmallest))) { |
| 430 | return -3; |
| 431 | } |
| 432 | |
| 433 | return 0; |
| 434 | } |
| 435 | |
| 436 | |
| 437 | |
| 438 | |