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| @@ -28,6 +28,11 @@ ifndef TARGET # native library · 27 unmodified lines | ||
| 28 | 28 | ifeq ($(ARCH),arm) |
| 29 | 29 | TARGET = arm |
| 30 | 30 | XCC = $(CC) |
| 31 | + else | |
| 32 | + ifeq ($(ARCH),arm64) | |
| 33 | + TARGET = arm64 | |
| 34 | + else | |
| 35 | + endif | |
| 31 | 36 | endif |
| 32 | 37 | endif |
| 33 | 38 | endif |
| @@ -49,6 +54,7 @@ X86_64_O = libtcc1.o alloca86_64.o · 15 unmodified lines | ||
| 49 | 54 | ARM_O = libtcc1.o armeabi.o alloca-arm.o |
| 50 | 55 | WIN32_O = $(I386_O) crt1.o wincrt1.o dllcrt1.o dllmain.o chkstk.o |
| 51 | 56 | WIN64_O = $(X86_64_O) crt1.o wincrt1.o dllcrt1.o dllmain.o chkstk.o |
| 57 | +ARM64_O = lib-arm64.o | |
| 52 | 58 | |
| 53 | 59 | # build TCC runtime library to contain PIC code, so it can be linked |
| 54 | 60 | # into shared libraries |
| @@ -86,6 +92,11 @@ ifeq "$(TARGET)" "arm" · 31 unmodified lines | ||
| 86 | 92 | OBJ = $(addprefix $(DIR)/,$(ARM_O)) |
| 87 | 93 | TGT = -DTCC_TARGET_ARM |
| 88 | 94 | XCC ?= $(TCC) -B$(TOP) |
| 95 | +else | |
| 96 | +ifeq "$(TARGET)" "arm64" | |
| 97 | + OBJ = $(addprefix $(DIR)/,$(ARM64_O)) | |
| 98 | + TGT = -DTCC_TARGET_ARM64 | |
| 99 | + XCC ?= $(TCC) -B$(TOP) | |
| 89 | 100 | else |
| 90 | 101 | $(error libtcc1.a not supported on target '$(TARGET)') |
| 91 | 102 | endif |
| @@ -93,6 +104,7 @@ endif · 1 unmodified line | ||
| 93 | 104 | endif |
| 94 | 105 | endif |
| 95 | 106 | endif |
| 107 | +endif | |
| 96 | 108 | |
| 97 | 109 | XFLAGS = $(CPPFLAGS) $(CFLAGS) $(PICFLAGS) $(TGT) |
| 98 | 110 | |
| @@ -0,0 +1,652 @@ | ||
| 1 | +/* | |
| 2 | + * TCC runtime library for arm64. | |
| 3 | + * | |
| 4 | + * Copyright (c) 2015 Edmund Grimley Evans | |
| 5 | + * | |
| 6 | + * Copying and distribution of this file, with or without modification, | |
| 7 | + * are permitted in any medium without royalty provided the copyright | |
| 8 | + * notice and this notice are preserved. This file is offered as-is, | |
| 9 | + * without any warranty. | |
| 10 | + */ | |
| 11 | + | |
| 12 | +#include <stdint.h> | |
| 13 | +#include <string.h> | |
| 14 | + | |
| 15 | +void __clear_cache(char *beg, char *end) | |
| 16 | +{ | |
| 17 | +#warning __clear_cache not yet implemented | |
| 18 | +} | |
| 19 | + | |
| 20 | +typedef struct { | |
| 21 | + uint64_t x0, x1; | |
| 22 | +} u128_t; | |
| 23 | + | |
| 24 | +static long double f3_zero(int sgn) | |
| 25 | +{ | |
| 26 | + long double f; | |
| 27 | + u128_t x = { 0, (uint64_t)sgn << 63 }; | |
| 28 | + memcpy(&f, &x, 16); | |
| 29 | + return f; | |
| 30 | +} | |
| 31 | + | |
| 32 | +static long double f3_infinity(int sgn) | |
| 33 | +{ | |
| 34 | + long double f; | |
| 35 | + u128_t x = { 0, (uint64_t)sgn << 63 | 0x7fff000000000000 }; | |
| 36 | + memcpy(&f, &x, 16); | |
| 37 | + return f; | |
| 38 | +} | |
| 39 | + | |
| 40 | +static long double f3_NaN(void) | |
| 41 | +{ | |
| 42 | + long double f; | |
| 43 | +#if 0 | |
| 44 | + // ARM's default NaN usually has just the top fraction bit set: | |
| 45 | + u128_t x = { 0, 0x7fff800000000000 }; | |
| 46 | +#else | |
| 47 | + // GCC's library sets all fraction bits: | |
| 48 | + u128_t x = { -1, 0x7fffffffffffffff }; | |
| 49 | +#endif | |
| 50 | + memcpy(&f, &x, 16); | |
| 51 | + return f; | |
| 52 | +} | |
| 53 | + | |
| 54 | +static int fp3_convert_NaN(long double *f, int sgn, u128_t mnt) | |
| 55 | +{ | |
| 56 | + u128_t x = { mnt.x0, | |
| 57 | + mnt.x1 | 0x7fff800000000000 | (uint64_t)sgn << 63 }; | |
| 58 | + memcpy(f, &x, 16); | |
| 59 | + return 1; | |
| 60 | +} | |
| 61 | + | |
| 62 | +static int fp3_detect_NaNs(long double *f, | |
| 63 | + int a_sgn, int a_exp, u128_t a, | |
| 64 | + int b_sgn, int b_exp, u128_t b) | |
| 65 | +{ | |
| 66 | + // Detect signalling NaNs: | |
| 67 | + if (a_exp == 32767 && (a.x0 | a.x1 << 16) && !(a.x1 >> 47 & 1)) | |
| 68 | + return fp3_convert_NaN(f, a_sgn, a); | |
| 69 | + if (b_exp == 32767 && (b.x0 | b.x1 << 16) && !(b.x1 >> 47 & 1)) | |
| 70 | + return fp3_convert_NaN(f, b_sgn, b); | |
| 71 | + | |
| 72 | + // Detect quiet NaNs: | |
| 73 | + if (a_exp == 32767 && (a.x0 | a.x1 << 16)) | |
| 74 | + return fp3_convert_NaN(f, a_sgn, a); | |
| 75 | + if (b_exp == 32767 && (b.x0 | b.x1 << 16)) | |
| 76 | + return fp3_convert_NaN(f, b_sgn, b); | |
| 77 | + | |
| 78 | + return 0; | |
| 79 | +} | |
| 80 | + | |
| 81 | +static void f3_unpack(int *sgn, int32_t *exp, u128_t *mnt, long double f) | |
| 82 | +{ | |
| 83 | + u128_t x; | |
| 84 | + memcpy(&x, &f, 16); | |
| 85 | + *sgn = x.x1 >> 63; | |
| 86 | + *exp = x.x1 >> 48 & 32767; | |
| 87 | + x.x1 = x.x1 << 16 >> 16; | |
| 88 | + if (*exp) | |
| 89 | + x.x1 |= (uint64_t)1 << 48; | |
| 90 | + else | |
| 91 | + *exp = 1; | |
| 92 | + *mnt = x; | |
| 93 | +} | |
| 94 | + | |
| 95 | +static u128_t f3_normalise(int32_t *exp, u128_t mnt) | |
| 96 | +{ | |
| 97 | + int sh; | |
| 98 | + if (!(mnt.x0 | mnt.x1)) | |
| 99 | + return mnt; | |
| 100 | + if (!mnt.x1) { | |
| 101 | + mnt.x1 = mnt.x0; | |
| 102 | + mnt.x0 = 0; | |
| 103 | + *exp -= 64; | |
| 104 | + } | |
| 105 | + for (sh = 32; sh; sh >>= 1) { | |
| 106 | + if (!(mnt.x1 >> (64 - sh))) { | |
| 107 | + mnt.x1 = mnt.x1 << sh | mnt.x0 >> (64 - sh); | |
| 108 | + mnt.x0 = mnt.x0 << sh; | |
| 109 | + *exp -= sh; | |
| 110 | + } | |
| 111 | + } | |
| 112 | + return mnt; | |
| 113 | +} | |
| 114 | + | |
| 115 | +static u128_t f3_sticky_shift(int32_t sh, u128_t x) | |
| 116 | +{ | |
| 117 | + if (sh >= 128) { | |
| 118 | + x.x0 = !!(x.x0 | x.x1); | |
| 119 | + x.x1 = 0; | |
| 120 | + return x; | |
| 121 | + } | |
| 122 | + if (sh >= 64) { | |
| 123 | + x.x0 = x.x1 | !!x.x0; | |
| 124 | + x.x1 = 0; | |
| 125 | + sh -= 64; | |
| 126 | + } | |
| 127 | + if (sh > 0) { | |
| 128 | + x.x0 = x.x0 >> sh | x.x1 << (64 - sh) | !!(x.x0 << (64 - sh)); | |
| 129 | + x.x1 = x.x1 >> sh; | |
| 130 | + } | |
| 131 | + return x; | |
| 132 | +} | |
| 133 | + | |
| 134 | +static long double f3_round(int sgn, int32_t exp, u128_t x) | |
| 135 | +{ | |
| 136 | + long double f; | |
| 137 | + int error; | |
| 138 | + | |
| 139 | + if (exp > 0) { | |
| 140 | + x = f3_sticky_shift(13, x); | |
| 141 | + } | |
| 142 | + else { | |
| 143 | + x = f3_sticky_shift(14 - exp, x); | |
| 144 | + exp = 0; | |
| 145 | + } | |
| 146 | + | |
| 147 | + error = x.x0 & 3; | |
| 148 | + x.x0 = x.x0 >> 2 | x.x1 << 62; | |
| 149 | + x.x1 = x.x1 >> 2; | |
| 150 | + | |
| 151 | + if (error == 3 || ((error == 2) & (x.x0 & 1))) { | |
| 152 | + if (!++x.x0) { | |
| 153 | + ++x.x1; | |
| 154 | + if (x.x1 == (uint64_t)1 << 48) | |
| 155 | + exp = 1; | |
| 156 | + else if (x.x1 == (uint64_t)1 << 49) { | |
| 157 | + ++exp; | |
| 158 | + x.x0 = x.x0 >> 1 | x.x1 << 63; | |
| 159 | + x.x1 = x.x1 >> 1; | |
| 160 | + } | |
| 161 | + } | |
| 162 | + } | |
| 163 | + | |
| 164 | + if (exp >= 32767) | |
| 165 | + return f3_infinity(sgn); | |
| 166 | + | |
| 167 | + x.x1 = x.x1 << 16 >> 16 | (uint64_t)exp << 48 | (uint64_t)sgn << 63; | |
| 168 | + memcpy(&f, &x, 16); | |
| 169 | + return f; | |
| 170 | +} | |
| 171 | + | |
| 172 | +static long double f3_add(long double fa, long double fb, int neg) | |
| 173 | +{ | |
| 174 | + u128_t a, b, x; | |
| 175 | + int32_t a_exp, b_exp, x_exp; | |
| 176 | + int a_sgn, b_sgn, x_sgn; | |
| 177 | + long double fx; | |
| 178 | + | |
| 179 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 180 | + f3_unpack(&b_sgn, &b_exp, &b, fb); | |
| 181 | + | |
| 182 | + if (fp3_detect_NaNs(&fx, a_sgn, a_exp, a, b_sgn, b_exp, b)) | |
| 183 | + return fx; | |
| 184 | + | |
| 185 | + b_sgn ^= neg; | |
| 186 | + | |
| 187 | + // Handle infinities and zeroes: | |
| 188 | + if (a_exp == 32767 && b_exp == 32767 && a_sgn != b_sgn) | |
| 189 | + return f3_NaN(); | |
| 190 | + if (a_exp == 32767) | |
| 191 | + return f3_infinity(a_sgn); | |
| 192 | + if (b_exp == 32767) | |
| 193 | + return f3_infinity(b_sgn); | |
| 194 | + if (!(a.x0 | a.x1 | b.x0 | b.x1)) | |
| 195 | + return f3_zero(a_sgn & b_sgn); | |
| 196 | + | |
| 197 | + a.x1 = a.x1 << 3 | a.x0 >> 61; | |
| 198 | + a.x0 = a.x0 << 3; | |
| 199 | + b.x1 = b.x1 << 3 | b.x0 >> 61; | |
| 200 | + b.x0 = b.x0 << 3; | |
| 201 | + | |
| 202 | + if (a_exp <= b_exp) { | |
| 203 | + a = f3_sticky_shift(b_exp - a_exp, a); | |
| 204 | + a_exp = b_exp; | |
| 205 | + } | |
| 206 | + else { | |
| 207 | + b = f3_sticky_shift(a_exp - b_exp, b); | |
| 208 | + b_exp = a_exp; | |
| 209 | + } | |
| 210 | + | |
| 211 | + x_sgn = a_sgn; | |
| 212 | + x_exp = a_exp; | |
| 213 | + if (a_sgn == b_sgn) { | |
| 214 | + x.x0 = a.x0 + b.x0; | |
| 215 | + x.x1 = a.x1 + b.x1 + (x.x0 < a.x0); | |
| 216 | + } | |
| 217 | + else { | |
| 218 | + x.x0 = a.x0 - b.x0; | |
| 219 | + x.x1 = a.x1 - b.x1 - (x.x0 > a.x0); | |
| 220 | + if (x.x1 >> 63) { | |
| 221 | + x_sgn ^= 1; | |
| 222 | + x.x0 = -x.x0; | |
| 223 | + x.x1 = -x.x1 - !!x.x0; | |
| 224 | + } | |
| 225 | + } | |
| 226 | + | |
| 227 | + if (!(x.x0 | x.x1)) | |
| 228 | + return f3_zero(0); | |
| 229 | + | |
| 230 | + x = f3_normalise(&x_exp, x); | |
| 231 | + | |
| 232 | + return f3_round(x_sgn, x_exp + 12, x); | |
| 233 | +} | |
| 234 | + | |
| 235 | +long double __addtf3(long double a, long double b) | |
| 236 | +{ | |
| 237 | + return f3_add(a, b, 0); | |
| 238 | +} | |
| 239 | + | |
| 240 | +long double __subtf3(long double a, long double b) | |
| 241 | +{ | |
| 242 | + return f3_add(a, b, 1); | |
| 243 | +} | |
| 244 | + | |
| 245 | +long double __multf3(long double fa, long double fb) | |
| 246 | +{ | |
| 247 | + u128_t a, b, x; | |
| 248 | + int32_t a_exp, b_exp, x_exp; | |
| 249 | + int a_sgn, b_sgn, x_sgn; | |
| 250 | + long double fx; | |
| 251 | + | |
| 252 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 253 | + f3_unpack(&b_sgn, &b_exp, &b, fb); | |
| 254 | + | |
| 255 | + if (fp3_detect_NaNs(&fx, a_sgn, a_exp, a, b_sgn, b_exp, b)) | |
| 256 | + return fx; | |
| 257 | + | |
| 258 | + // Handle infinities and zeroes: | |
| 259 | + if ((a_exp == 32767 && !(b.x0 | b.x1)) || | |
| 260 | + (b_exp == 32767 && !(a.x0 | a.x1))) | |
| 261 | + return f3_NaN(); | |
| 262 | + if (a_exp == 32767 || b_exp == 32767) | |
| 263 | + return f3_infinity(a_sgn ^ b_sgn); | |
| 264 | + if (!(a.x0 | a.x1) || !(b.x0 | b.x1)) | |
| 265 | + return f3_zero(a_sgn ^ b_sgn); | |
| 266 | + | |
| 267 | + a = f3_normalise(&a_exp, a); | |
| 268 | + b = f3_normalise(&b_exp, b); | |
| 269 | + | |
| 270 | + x_sgn = a_sgn ^ b_sgn; | |
| 271 | + x_exp = a_exp + b_exp - 16352; | |
| 272 | + | |
| 273 | + { | |
| 274 | + // Convert to base (1 << 30), discarding bottom 6 bits, which are zero, | |
| 275 | + // so there are (32, 30, 30, 30) bits in (a3, a2, a1, a0): | |
| 276 | + uint64_t a0 = a.x0 << 28 >> 34; | |
| 277 | + uint64_t b0 = b.x0 << 28 >> 34; | |
| 278 | + uint64_t a1 = a.x0 >> 36 | a.x1 << 62 >> 34; | |
| 279 | + uint64_t b1 = b.x0 >> 36 | b.x1 << 62 >> 34; | |
| 280 | + uint64_t a2 = a.x1 << 32 >> 34; | |
| 281 | + uint64_t b2 = b.x1 << 32 >> 34; | |
| 282 | + uint64_t a3 = a.x1 >> 32; | |
| 283 | + uint64_t b3 = b.x1 >> 32; | |
| 284 | + // Use 16 small multiplications and additions that do not overflow: | |
| 285 | + uint64_t x0 = a0 * b0; | |
| 286 | + uint64_t x1 = (x0 >> 30) + a0 * b1 + a1 * b0; | |
| 287 | + uint64_t x2 = (x1 >> 30) + a0 * b2 + a1 * b1 + a2 * b0; | |
| 288 | + uint64_t x3 = (x2 >> 30) + a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0; | |
| 289 | + uint64_t x4 = (x3 >> 30) + a1 * b3 + a2 * b2 + a3 * b1; | |
| 290 | + uint64_t x5 = (x4 >> 30) + a2 * b3 + a3 * b2; | |
| 291 | + uint64_t x6 = (x5 >> 30) + a3 * b3; | |
| 292 | + // We now have (64, 30, 30, ...) bits in (x6, x5, x4, ...). | |
| 293 | + // Take the top 128 bits, setting bottom bit if any lower bits were set: | |
| 294 | + uint64_t y0 = (x5 << 34 | x4 << 34 >> 30 | x3 << 34 >> 60 | | |
| 295 | + !!(x3 << 38 | (x2 | x1 | x0) << 34)); | |
| 296 | + uint64_t y1 = x6; | |
| 297 | + // Top bit may be zero. Renormalise: | |
| 298 | + if (!(y1 >> 63)) { | |
| 299 | + y1 = y1 << 1 | y0 >> 63; | |
| 300 | + y0 = y0 << 1; | |
| 301 | + --x_exp; | |
| 302 | + } | |
| 303 | + x.x0 = y0; | |
| 304 | + x.x1 = y1; | |
| 305 | + } | |
| 306 | + | |
| 307 | + return f3_round(x_sgn, x_exp, x); | |
| 308 | +} | |
| 309 | + | |
| 310 | +long double __divtf3(long double fa, long double fb) | |
| 311 | +{ | |
| 312 | + u128_t a, b, x; | |
| 313 | + int32_t a_exp, b_exp, x_exp; | |
| 314 | + int a_sgn, b_sgn, x_sgn, i; | |
| 315 | + long double fx; | |
| 316 | + | |
| 317 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 318 | + f3_unpack(&b_sgn, &b_exp, &b, fb); | |
| 319 | + | |
| 320 | + if (fp3_detect_NaNs(&fx, a_sgn, a_exp, a, b_sgn, b_exp, b)) | |
| 321 | + return fx; | |
| 322 | + | |
| 323 | + // Handle infinities and zeroes: | |
| 324 | + if ((a_exp == 32767 && b_exp == 32767) || | |
| 325 | + (!(a.x0 | a.x1) && !(b.x0 | b.x1))) | |
| 326 | + return f3_NaN(); | |
| 327 | + if (a_exp == 32767 || !(b.x0 | b.x1)) | |
| 328 | + return f3_infinity(a_sgn ^ b_sgn); | |
| 329 | + if (!(a.x0 | a.x1) || b_exp == 32767) | |
| 330 | + return f3_zero(a_sgn ^ b_sgn); | |
| 331 | + | |
| 332 | + a = f3_normalise(&a_exp, a); | |
| 333 | + b = f3_normalise(&b_exp, b); | |
| 334 | + | |
| 335 | + x_sgn = a_sgn ^ b_sgn; | |
| 336 | + x_exp = a_exp - b_exp + 16395; | |
| 337 | + | |
| 338 | + a.x0 = a.x0 >> 1 | a.x1 << 63; | |
| 339 | + a.x1 = a.x1 >> 1; | |
| 340 | + b.x0 = b.x0 >> 1 | b.x1 << 63; | |
| 341 | + b.x1 = b.x1 >> 1; | |
| 342 | + x.x0 = 0; | |
| 343 | + x.x1 = 0; | |
| 344 | + for (i = 0; i < 116; i++) { | |
| 345 | + x.x1 = x.x1 << 1 | x.x0 >> 63; | |
| 346 | + x.x0 = x.x0 << 1; | |
| 347 | + if (a.x1 > b.x1 || (a.x1 == b.x1 && a.x0 >= b.x0)) { | |
| 348 | + a.x1 = a.x1 - b.x1 - (a.x0 < b.x0); | |
| 349 | + a.x0 = a.x0 - b.x0; | |
| 350 | + x.x0 |= 1; | |
| 351 | + } | |
| 352 | + a.x1 = a.x1 << 1 | a.x0 >> 63; | |
| 353 | + a.x0 = a.x0 << 1; | |
| 354 | + } | |
| 355 | + x.x0 |= !!(a.x0 | a.x1); | |
| 356 | + | |
| 357 | + x = f3_normalise(&x_exp, x); | |
| 358 | + | |
| 359 | + return f3_round(x_sgn, x_exp, x); | |
| 360 | +} | |
| 361 | + | |
| 362 | +long double __extendsftf2(float f) | |
| 363 | +{ | |
| 364 | + long double fx; | |
| 365 | + u128_t x; | |
| 366 | + uint32_t a; | |
| 367 | + uint64_t aa; | |
| 368 | + memcpy(&a, &f, 4); | |
| 369 | + aa = a; | |
| 370 | + x.x0 = 0; | |
| 371 | + if (!(a << 1)) | |
| 372 | + x.x1 = aa << 32; | |
| 373 | + else if (a << 1 >> 24 == 255) | |
| 374 | + x.x1 = (0x7fff000000000000 | aa >> 31 << 63 | aa << 41 >> 16 | | |
| 375 | + (uint64_t)!!(a << 9) << 47); | |
| 376 | + else | |
| 377 | + x.x1 = (aa >> 31 << 63 | ((aa >> 23 & 255) + 16256) << 48 | | |
| 378 | + aa << 41 >> 16); | |
| 379 | + memcpy(&fx, &x, 16); | |
| 380 | + return fx; | |
| 381 | +} | |
| 382 | + | |
| 383 | +long double __extenddftf2(double f) | |
| 384 | +{ | |
| 385 | + long double fx; | |
| 386 | + u128_t x; | |
| 387 | + uint64_t a; | |
| 388 | + memcpy(&a, &f, 8); | |
| 389 | + x.x0 = a << 60; | |
| 390 | + if (!(a << 1)) | |
| 391 | + x.x1 = a; | |
| 392 | + else if (a << 1 >> 53 == 2047) | |
| 393 | + x.x1 = (0x7fff000000000000 | a >> 63 << 63 | a << 12 >> 16 | | |
| 394 | + (uint64_t)!!(a << 12) << 47); | |
| 395 | + else | |
| 396 | + x.x1 = a >> 63 << 63 | ((a >> 52 & 2047) + 15360) << 48 | a << 12 >> 16; | |
| 397 | + memcpy(&fx, &x, 16); | |
| 398 | + return fx; | |
| 399 | +} | |
| 400 | + | |
| 401 | +float __trunctfsf2(long double f) | |
| 402 | +{ | |
| 403 | + u128_t mnt; | |
| 404 | + int32_t exp; | |
| 405 | + int sgn; | |
| 406 | + uint32_t x; | |
| 407 | + float fx; | |
| 408 | + | |
| 409 | + f3_unpack(&sgn, &exp, &mnt, f); | |
| 410 | + | |
| 411 | + if (exp == 32767 && (mnt.x0 | mnt.x1 << 16)) | |
| 412 | + x = 0x7fc00000 | (uint32_t)sgn << 31 | (mnt.x1 >> 25 & 0x007fffff); | |
| 413 | + else if (exp > 16510) | |
| 414 | + x = 0x7f800000 | (uint32_t)sgn << 31; | |
| 415 | + else if (exp < 16233) | |
| 416 | + x = (uint32_t)sgn << 31; | |
| 417 | + else { | |
| 418 | + exp -= 16257; | |
| 419 | + x = mnt.x1 >> 23 | !!(mnt.x0 | mnt.x1 << 41); | |
| 420 | + if (exp < 0) { | |
| 421 | + x = x >> -exp | !!(x << (32 + exp)); | |
| 422 | + exp = 0; | |
| 423 | + } | |
| 424 | + if ((x & 3) == 3 || (x & 7) == 6) | |
| 425 | + x += 4; | |
| 426 | + x = ((x >> 2) + (exp << 23)) | (uint32_t)sgn << 31; | |
| 427 | + } | |
| 428 | + memcpy(&fx, &x, 4); | |
| 429 | + return fx; | |
| 430 | +} | |
| 431 | + | |
| 432 | +double __trunctfdf2(long double f) | |
| 433 | +{ | |
| 434 | + u128_t mnt; | |
| 435 | + int32_t exp; | |
| 436 | + int sgn; | |
| 437 | + uint64_t x; | |
| 438 | + double fx; | |
| 439 | + | |
| 440 | + f3_unpack(&sgn, &exp, &mnt, f); | |
| 441 | + | |
| 442 | + if (exp == 32767 && (mnt.x0 | mnt.x1 << 16)) | |
| 443 | + x = (0x7ff8000000000000 | (uint64_t)sgn << 63 | | |
| 444 | + mnt.x1 << 16 >> 12 | mnt.x0 >> 60); | |
| 445 | + else if (exp > 17406) | |
| 446 | + x = 0x7ff0000000000000 | (uint64_t)sgn << 63; | |
| 447 | + else if (exp < 15308) | |
| 448 | + x = (uint64_t)sgn << 63; | |
| 449 | + else { | |
| 450 | + exp -= 15361; | |
| 451 | + x = mnt.x1 << 6 | mnt.x0 >> 58 | !!(mnt.x0 << 6); | |
| 452 | + if (exp < 0) { | |
| 453 | + x = x >> -exp | !!(x << (64 + exp)); | |
| 454 | + exp = 0; | |
| 455 | + } | |
| 456 | + if ((x & 3) == 3 || (x & 7) == 6) | |
| 457 | + x += 4; | |
| 458 | + x = ((x >> 2) + ((uint64_t)exp << 52)) | (uint64_t)sgn << 63; | |
| 459 | + } | |
| 460 | + memcpy(&fx, &x, 8); | |
| 461 | + return fx; | |
| 462 | +} | |
| 463 | + | |
| 464 | +int32_t __fixtfsi(long double fa) | |
| 465 | +{ | |
| 466 | + u128_t a; | |
| 467 | + int32_t a_exp; | |
| 468 | + int a_sgn; | |
| 469 | + int32_t x; | |
| 470 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 471 | + if (a_exp < 16369) | |
| 472 | + return 0; | |
| 473 | + if (a_exp > 16413) | |
| 474 | + return a_sgn ? -0x80000000 : 0x7fffffff; | |
| 475 | + x = a.x1 >> (16431 - a_exp); | |
| 476 | + return a_sgn ? -x : x; | |
| 477 | +} | |
| 478 | + | |
| 479 | +int64_t __fixtfdi(long double fa) | |
| 480 | +{ | |
| 481 | + u128_t a; | |
| 482 | + int32_t a_exp; | |
| 483 | + int a_sgn; | |
| 484 | + int64_t x; | |
| 485 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 486 | + if (a_exp < 16383) | |
| 487 | + return 0; | |
| 488 | + if (a_exp > 16445) | |
| 489 | + return a_sgn ? -0x8000000000000000 : 0x7fffffffffffffff; | |
| 490 | + x = (a.x1 << 15 | a.x0 >> 49) >> (16446 - a_exp); | |
| 491 | + return a_sgn ? -x : x; | |
| 492 | +} | |
| 493 | + | |
| 494 | +uint32_t __fixunstfsi(long double fa) | |
| 495 | +{ | |
| 496 | + u128_t a; | |
| 497 | + int32_t a_exp; | |
| 498 | + int a_sgn; | |
| 499 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 500 | + if (a_sgn || a_exp < 16369) | |
| 501 | + return 0; | |
| 502 | + if (a_exp > 16414) | |
| 503 | + return -1; | |
| 504 | + return a.x1 >> (16431 - a_exp); | |
| 505 | +} | |
| 506 | + | |
| 507 | +uint64_t __fixunstfdi(long double fa) | |
| 508 | +{ | |
| 509 | + u128_t a; | |
| 510 | + int32_t a_exp; | |
| 511 | + int a_sgn; | |
| 512 | + f3_unpack(&a_sgn, &a_exp, &a, fa); | |
| 513 | + if (a_sgn || a_exp < 16383) | |
| 514 | + return 0; | |
| 515 | + if (a_exp > 16446) | |
| 516 | + return -1; | |
| 517 | + return (a.x1 << 15 | a.x0 >> 49) >> (16446 - a_exp); | |
| 518 | +} | |
| 519 | + | |
| 520 | +long double __floatsitf(int32_t a) | |
| 521 | +{ | |
| 522 | + int sgn = 0; | |
| 523 | + int exp = 16414; | |
| 524 | + uint32_t mnt = a; | |
| 525 | + u128_t x = { 0, 0 }; | |
| 526 | + long double f; | |
| 527 | + int i; | |
| 528 | + if (a) { | |
| 529 | + if (a < 0) { | |
| 530 | + sgn = 1; | |
| 531 | + mnt = -mnt; | |
| 532 | + } | |
| 533 | + for (i = 16; i; i >>= 1) | |
| 534 | + if (!(mnt >> (32 - i))) { | |
| 535 | + mnt <<= i; | |
| 536 | + exp -= i; | |
| 537 | + } | |
| 538 | + x.x1 = ((uint64_t)sgn << 63 | (uint64_t)exp << 48 | | |
| 539 | + (uint64_t)(mnt << 1) << 16); | |
| 540 | + } | |
| 541 | + memcpy(&f, &x, 16); | |
| 542 | + return f; | |
| 543 | +} | |
| 544 | + | |
| 545 | +long double __floatditf(int64_t a) | |
| 546 | +{ | |
| 547 | + int sgn = 0; | |
| 548 | + int exp = 16446; | |
| 549 | + uint64_t mnt = a; | |
| 550 | + u128_t x = { 0, 0 }; | |
| 551 | + long double f; | |
| 552 | + int i; | |
| 553 | + if (a) { | |
| 554 | + if (a < 0) { | |
| 555 | + sgn = 1; | |
| 556 | + mnt = -mnt; | |
| 557 | + } | |
| 558 | + for (i = 32; i; i >>= 1) | |
| 559 | + if (!(mnt >> (64 - i))) { | |
| 560 | + mnt <<= i; | |
| 561 | + exp -= i; | |
| 562 | + } | |
| 563 | + x.x0 = mnt << 49; | |
| 564 | + x.x1 = (uint64_t)sgn << 63 | (uint64_t)exp << 48 | mnt << 1 >> 16; | |
| 565 | + } | |
| 566 | + memcpy(&f, &x, 16); | |
| 567 | + return f; | |
| 568 | +} | |
| 569 | + | |
| 570 | +long double __floatunsitf(uint32_t a) | |
| 571 | +{ | |
| 572 | + int exp = 16414; | |
| 573 | + uint32_t mnt = a; | |
| 574 | + u128_t x = { 0, 0 }; | |
| 575 | + long double f; | |
| 576 | + int i; | |
| 577 | + if (a) { | |
| 578 | + for (i = 16; i; i >>= 1) | |
| 579 | + if (!(mnt >> (32 - i))) { | |
| 580 | + mnt <<= i; | |
| 581 | + exp -= i; | |
| 582 | + } | |
| 583 | + x.x1 = (uint64_t)exp << 48 | (uint64_t)(mnt << 1) << 16; | |
| 584 | + } | |
| 585 | + memcpy(&f, &x, 16); | |
| 586 | + return f; | |
| 587 | +} | |
| 588 | + | |
| 589 | +long double __floatunditf(uint64_t a) | |
| 590 | +{ | |
| 591 | + int exp = 16446; | |
| 592 | + uint64_t mnt = a; | |
| 593 | + u128_t x = { 0, 0 }; | |
| 594 | + long double f; | |
| 595 | + int i; | |
| 596 | + if (a) { | |
| 597 | + for (i = 32; i; i >>= 1) | |
| 598 | + if (!(mnt >> (64 - i))) { | |
| 599 | + mnt <<= i; | |
| 600 | + exp -= i; | |
| 601 | + } | |
| 602 | + x.x0 = mnt << 49; | |
| 603 | + x.x1 = (uint64_t)exp << 48 | mnt << 1 >> 16; | |
| 604 | + } | |
| 605 | + memcpy(&f, &x, 16); | |
| 606 | + return f; | |
| 607 | +} | |
| 608 | + | |
| 609 | +static int f3_cmp(long double fa, long double fb) | |
| 610 | +{ | |
| 611 | + u128_t a, b; | |
| 612 | + memcpy(&a, &fa, 16); | |
| 613 | + memcpy(&b, &fb, 16); | |
| 614 | + return (!(a.x0 | a.x1 << 1 | b.x0 | b.x1 << 1) ? 0 : | |
| 615 | + ((a.x1 << 1 >> 49 == 0x7fff && (a.x0 | a.x1 << 16)) || | |
| 616 | + (b.x1 << 1 >> 49 == 0x7fff && (b.x0 | b.x1 << 16))) ? 2 : | |
| 617 | + a.x1 >> 63 != b.x1 >> 63 ? (int)(b.x1 >> 63) - (int)(a.x1 >> 63) : | |
| 618 | + a.x1 < b.x1 ? (int)(a.x1 >> 63 << 1) - 1 : | |
| 619 | + a.x1 > b.x1 ? 1 - (int)(a.x1 >> 63 << 1) : | |
| 620 | + a.x0 < b.x0 ? (int)(a.x1 >> 63 << 1) - 1 : | |
| 621 | + b.x0 < a.x0 ? 1 - (int)(a.x1 >> 63 << 1) : 0); | |
| 622 | +} | |
| 623 | + | |
| 624 | +int __eqtf2(long double a, long double b) | |
| 625 | +{ | |
| 626 | + return !!f3_cmp(a, b); | |
| 627 | +} | |
| 628 | + | |
| 629 | +int __netf2(long double a, long double b) | |
| 630 | +{ | |
| 631 | + return !!f3_cmp(a, b); | |
| 632 | +} | |
| 633 | + | |
| 634 | +int __lttf2(long double a, long double b) | |
| 635 | +{ | |
| 636 | + return f3_cmp(a, b); | |
| 637 | +} | |
| 638 | + | |
| 639 | +int __letf2(long double a, long double b) | |
| 640 | +{ | |
| 641 | + return f3_cmp(a, b); | |
| 642 | +} | |
| 643 | + | |
| 644 | +int __gttf2(long double a, long double b) | |
| 645 | +{ | |
| 646 | + return -f3_cmp(b, a); | |
| 647 | +} | |
| 648 | + | |
| 649 | +int __getf2(long double a, long double b) | |
| 650 | +{ | |
| 651 | + return -f3_cmp(b, a); | |
| 652 | +} | |
| @@ -0,0 +1,510 @@ | ||
| 1 | +/* | |
| 2 | + * Test 128-bit floating-point arithmetic on arm64: | |
| 3 | + * build with two different compilers and compare the output. | |
| 4 | + * | |
| 5 | + * Copyright (c) 2015 Edmund Grimley Evans | |
| 6 | + * | |
| 7 | + * Copying and distribution of this file, with or without modification, | |
| 8 | + * are permitted in any medium without royalty provided the copyright | |
| 9 | + * notice and this notice are preserved. This file is offered as-is, | |
| 10 | + * without any warranty. | |
| 11 | + */ | |
| 12 | + | |
| 13 | +#include <stdint.h> | |
| 14 | +#include <stdio.h> | |
| 15 | +#include <stdlib.h> | |
| 16 | +#include <string.h> | |
| 17 | + | |
| 18 | +#define check(x) ((x) ? (void)0 : check_fail(#x, __FILE__, __LINE__)) | |
| 19 | + | |
| 20 | +void check_fail(const char *assertion, const char *file, unsigned int line) | |
| 21 | +{ | |
| 22 | + printf("%s:%d: Check (%s) failed.", file, line, assertion); | |
| 23 | + exit(1); | |
| 24 | +} | |
| 25 | + | |
| 26 | +typedef struct { | |
| 27 | + unsigned long long x0, x1; | |
| 28 | +} u128_t; | |
| 29 | + | |
| 30 | +float copy_fi(uint32_t x) | |
| 31 | +{ | |
| 32 | + float f; | |
| 33 | + memcpy(&f, &x, 4); | |
| 34 | + return f; | |
| 35 | +} | |
| 36 | + | |
| 37 | +double copy_di(uint64_t x) | |
| 38 | +{ | |
| 39 | + double f; | |
| 40 | + memcpy(&f, &x, 8); | |
| 41 | + return f; | |
| 42 | +} | |
| 43 | + | |
| 44 | +long double copy_ldi(u128_t x) | |
| 45 | +{ | |
| 46 | + long double f; | |
| 47 | + memcpy(&f, &x, 16); | |
| 48 | + return f; | |
| 49 | +} | |
| 50 | + | |
| 51 | +uint32_t copy_if(float f) | |
| 52 | +{ | |
| 53 | + uint32_t x; | |
| 54 | + memcpy(&x, &f, 4); | |
| 55 | + return x; | |
| 56 | +} | |
| 57 | + | |
| 58 | +uint64_t copy_id(double f) | |
| 59 | +{ | |
| 60 | + uint64_t x; | |
| 61 | + memcpy(&x, &f, 8); | |
| 62 | + return x; | |
| 63 | +} | |
| 64 | + | |
| 65 | +u128_t copy_ild(long double f) | |
| 66 | +{ | |
| 67 | + u128_t x; | |
| 68 | + memcpy(&x, &f, 16); | |
| 69 | + return x; | |
| 70 | +} | |
| 71 | + | |
| 72 | +long double make(int sgn, int exp, uint64_t high, uint64_t low) | |
| 73 | +{ | |
| 74 | + u128_t x = { low, | |
| 75 | + (0x0000ffffffffffff & high) | | |
| 76 | + (0x7fff000000000000 & (uint64_t)exp << 48) | | |
| 77 | + (0x8000000000000000 & (uint64_t)sgn << 63) }; | |
| 78 | + return copy_ldi(x); | |
| 79 | +} | |
| 80 | + | |
| 81 | +void cmp(long double a, long double b) | |
| 82 | +{ | |
| 83 | + u128_t ax = copy_ild(a); | |
| 84 | + u128_t bx = copy_ild(b); | |
| 85 | + int eq = (a == b); | |
| 86 | + int ne = (a != b); | |
| 87 | + int lt = (a < b); | |
| 88 | + int le = (a <= b); | |
| 89 | + int gt = (a > b); | |
| 90 | + int ge = (a >= b); | |
| 91 | + | |
| 92 | + check(eq == 0 || eq == 1); | |
| 93 | + check(lt == 0 || lt == 1); | |
| 94 | + check(gt == 0 || gt == 1); | |
| 95 | + check(ne == !eq && le == (lt | eq) && ge == (gt | eq)); | |
| 96 | + check(eq + lt + gt < 2); | |
| 97 | + | |
| 98 | + printf("cmp %016llx%016llx %016llx%016llx %d %d %d\n", | |
| 99 | + ax.x1, ax.x0, bx.x1, bx.x0, lt, eq, gt); | |
| 100 | +} | |
| 101 | + | |
| 102 | +void cmps(void) | |
| 103 | +{ | |
| 104 | + int i, j; | |
| 105 | + | |
| 106 | + for (i = 0; i < 2; i++) | |
| 107 | + for (j = 0; j < 2; j++) | |
| 108 | + cmp(make(i, 0, 0, 0), make(j, 0, 0, 0)); | |
| 109 | + | |
| 110 | + for (i = 0; i < 2; i++) { | |
| 111 | + for (j = 0; j < 64; j++) { | |
| 112 | + long double f1 = make(i, 32767, (uint64_t)1 << j, 0); | |
| 113 | + long double f2 = make(i, 32767, 0, (uint64_t)1 << j); | |
| 114 | + cmp(f1, 0); | |
| 115 | + cmp(f2, 0); | |
| 116 | + cmp(0, f1); | |
| 117 | + cmp(0, f2); | |
| 118 | + } | |
| 119 | + } | |
| 120 | + | |
| 121 | + for (i = 0; i < 6; i++) | |
| 122 | + for (j = 0; j < 6; j++) | |
| 123 | + cmp(make(i & 1, i >> 1, 0, 0), | |
| 124 | + make(j & 1, j >> 1, 0, 0)); | |
| 125 | + | |
| 126 | + for (i = 0; i < 2; i++) { | |
| 127 | + for (j = 0; j < 2; j++) { | |
| 128 | + int a, b; | |
| 129 | + for (a = 0; a < 2; a++) { | |
| 130 | + for (b = 0; b < 2; b++) { | |
| 131 | + cmp(make(i, j, a, b), make(i, j, 0, 0)); | |
| 132 | + cmp(make(i, j, 0, 0), make(i, j, a, b)); | |
| 133 | + } | |
| 134 | + } | |
| 135 | + } | |
| 136 | + } | |
| 137 | +} | |
| 138 | + | |
| 139 | +void xop(const char *name, long double a, long double b, long double c) | |
| 140 | +{ | |
| 141 | + u128_t ax = copy_ild(a); | |
| 142 | + u128_t bx = copy_ild(b); | |
| 143 | + u128_t cx = copy_ild(c); | |
| 144 | + printf("%s %016llx%016llx %016llx%016llx %016llx%016llx\n", | |
| 145 | + name, ax.x1, ax.x0, bx.x1, bx.x0, cx.x1, cx.x0); | |
| 146 | +} | |
| 147 | + | |
| 148 | +void fadd(long double a, long double b) | |
| 149 | +{ | |
| 150 | + xop("add", a, b, a + b); | |
| 151 | +} | |
| 152 | + | |
| 153 | +void fsub(long double a, long double b) | |
| 154 | +{ | |
| 155 | + xop("sub", a, b, a - b); | |
| 156 | +} | |
| 157 | + | |
| 158 | +void fmul(long double a, long double b) | |
| 159 | +{ | |
| 160 | + xop("mul", a, b, a * b); | |
| 161 | +} | |
| 162 | + | |
| 163 | +void fdiv(long double a, long double b) | |
| 164 | +{ | |
| 165 | + xop("div", a, b, a / b); | |
| 166 | +} | |
| 167 | + | |
| 168 | +void nanz(void) | |
| 169 | +{ | |
| 170 | + // Check NaNs: | |
| 171 | + { | |
| 172 | + long double x[7]; | |
| 173 | + int i, j, n = 0; | |
| 174 | + x[n++] = make(0, 32000, 0x95132b76effc, 0xd79035214b4f8d53); | |
| 175 | + x[n++] = make(1, 32001, 0xbe71d7a51587, 0x30601c6815d6c3ac); | |
| 176 | + x[n++] = make(0, 32767, 0, 1); | |
| 177 | + x[n++] = make(0, 32767, (uint64_t)1 << 46, 0); | |
| 178 | + x[n++] = make(1, 32767, (uint64_t)1 << 47, 0); | |
| 179 | + x[n++] = make(1, 32767, 0x7596c7099ad5, 0xe25fed2c58f73fc9); | |
| 180 | + x[n++] = make(0, 32767, 0x835d143360f9, 0x5e315efb35630666); | |
| 181 | + check(n == sizeof(x) / sizeof(*x)); | |
| 182 | + for (i = 0; i < n; i++) { | |
| 183 | + for (j = 0; j < n; j++) { | |
| 184 | + fadd(x[i], x[j]); | |
| 185 | + fsub(x[i], x[j]); | |
| 186 | + fmul(x[i], x[j]); | |
| 187 | + fdiv(x[i], x[j]); | |
| 188 | + } | |
| 189 | + } | |
| 190 | + } | |
| 191 | + | |
| 192 | + // Check infinities and zeroes: | |
| 193 | + { | |
| 194 | + long double x[6]; | |
| 195 | + int i, j, n = 0; | |
| 196 | + x[n++] = make(1, 32000, 0x62acda85f700, 0x47b6c9f35edc4044); | |
| 197 | + x[n++] = make(0, 32001, 0x94b7abf55af7, 0x9f425fe354428e19); | |
| 198 | + x[n++] = make(0, 32767, 0, 0); | |
| 199 | + x[n++] = make(1, 32767, 0, 0); | |
| 200 | + x[n++] = make(0, 0, 0, 0); | |
| 201 | + x[n++] = make(1, 0, 0, 0); | |
| 202 | + check(n == sizeof(x) / sizeof(*x)); | |
| 203 | + for (i = 0; i < n; i++) { | |
| 204 | + for (j = 0; j < n; j++) { | |
| 205 | + fadd(x[i], x[j]); | |
| 206 | + fsub(x[i], x[j]); | |
| 207 | + fmul(x[i], x[j]); | |
| 208 | + fdiv(x[i], x[j]); | |
| 209 | + } | |
| 210 | + } | |
| 211 | + } | |
| 212 | +} | |
| 213 | + | |
| 214 | +void adds(void) | |
| 215 | +{ | |
| 216 | + // Check shifting and add/sub: | |
| 217 | + { | |
| 218 | + int i; | |
| 219 | + for (i = -130; i <= 130; i++) { | |
| 220 | + int s1 = (uint32_t)i % 3 < 1; | |
| 221 | + int s2 = (uint32_t)i % 5 < 2; | |
| 222 | + fadd(make(s1, 16384 , 0x502c065e4f71a65d, 0xd2f9bdb031f4f031), | |
| 223 | + make(s2, 16384 + i, 0xae267395a9bc1033, 0xb56b5800da1ba448)); | |
| 224 | + } | |
| 225 | + } | |
| 226 | + | |
| 227 | + // Check normalisation: | |
| 228 | + { | |
| 229 | + uint64_t a0 = 0xc6bab0a6afbef5ed; | |
| 230 | + uint64_t a1 = 0x4f84136c4a2e9b52; | |
| 231 | + int ee[] = { 0, 1, 10000 }; | |
| 232 | + int e, i; | |
| 233 | + for (e = 0; e < sizeof(ee) / sizeof(*ee); e++) { | |
| 234 | + int exp = ee[e]; | |
| 235 | + fsub(make(0, exp, a1, a0), make(0, 0, 0, 0)); | |
| 236 | + for (i = 63; i >= 0; i--) | |
| 237 | + fsub(make(0, exp, a1 | (uint64_t)1 << i >> 1, a0), | |
| 238 | + make(0, exp, a1 >> i << i, 0)); | |
| 239 | + for (i = 63; i >=0; i--) | |
| 240 | + fsub(make(0, exp, a1, a0 | (uint64_t)1 << i >> 1), | |
| 241 | + make(0, exp, a1, a0 >> i << i)); | |
| 242 | + } | |
| 243 | + } | |
| 244 | + | |
| 245 | + // Carry/overflow from rounding: | |
| 246 | + { | |
| 247 | + fadd(make(0, 114, -1, -1), make(0, 1, 0, 0)); | |
| 248 | + fadd(make(0, 32766, -1, -1), make(0, 32653, 0, 0)); | |
| 249 | + fsub(make(1, 32766, -1, -1), make(0, 32653, 0, 0)); | |
| 250 | + } | |
| 251 | +} | |
| 252 | + | |
| 253 | +void muls(void) | |
| 254 | +{ | |
| 255 | + int i, j; | |
| 256 | + | |
| 257 | + { | |
| 258 | + long double max = make(0, 32766, -1, -1); | |
| 259 | + long double min = make(0, 0, 0, 1); | |
| 260 | + fmul(max, max); | |
| 261 | + fmul(max, min); | |
| 262 | + fmul(min, min); | |
| 263 | + } | |
| 264 | + | |
| 265 | + for (i = 117; i > 0; i--) | |
| 266 | + fmul(make(0, 16268, 0x643dcea76edc, 0xe0877a598403627a), | |
| 267 | + make(i & 1, i, 0, 0)); | |
| 268 | + | |
| 269 | + fmul(make(0, 16383, -1, -3), make(0, 16383, 0, 1)); | |
| 270 | + // Round to next exponent: | |
| 271 | + fmul(make(0, 16383, -1, -2), make(0, 16383, 0, 1)); | |
| 272 | + // Round from subnormal to normal: | |
| 273 | + fmul(make(0, 1, -1, -1), make(0, 16382, 0, 0)); | |
| 274 | + | |
| 275 | + for (i = 0; i < 2; i++) | |
| 276 | + for (j = 0; j < 112; j++) | |
| 277 | + fmul(make(0, 16383, (uint64_t)1 << i, 0), | |
| 278 | + make(0, 16383, | |
| 279 | + j < 64 ? 0 : (uint64_t)1 << (j - 64), | |
| 280 | + j < 64 ? (uint64_t)1 << j : 0)); | |
| 281 | +} | |
| 282 | + | |
| 283 | +void divs(void) | |
| 284 | +{ | |
| 285 | + int i; | |
| 286 | + | |
| 287 | + { | |
| 288 | + long double max = make(0, 32766, -1, -1); | |
| 289 | + long double min = make(0, 0, 0, 1); | |
| 290 | + fdiv(max, max); | |
| 291 | + fdiv(max, min); | |
| 292 | + fdiv(min, max); | |
| 293 | + fdiv(min, min); | |
| 294 | + } | |
| 295 | + | |
| 296 | + for (i = 0; i < 64; i++) | |
| 297 | + fdiv(make(0, 16383, -1, -1), make(0, 16383, -1, -(uint64_t)1 << i)); | |
| 298 | + for (i = 0; i < 48; i++) | |
| 299 | + fdiv(make(0, 16383, -1, -1), make(0, 16383, -(uint64_t)1 << i, 0)); | |
| 300 | +} | |
| 301 | + | |
| 302 | +void cvtlsw(int32_t a) | |
| 303 | +{ | |
| 304 | + long double f = a; | |
| 305 | + u128_t x = copy_ild(f); | |
| 306 | + printf("cvtlsw %08lx %016llx%016llx\n", (long)(uint32_t)a, x.x1, x.x0); | |
| 307 | +} | |
| 308 | + | |
| 309 | +void cvtlsx(int64_t a) | |
| 310 | +{ | |
| 311 | + long double f = a; | |
| 312 | + u128_t x = copy_ild(f); | |
| 313 | + printf("cvtlsx %016llx %016llx%016llx\n", | |
| 314 | + (long long)(uint64_t)a, x.x1, x.x0); | |
| 315 | +} | |
| 316 | + | |
| 317 | +void cvtluw(uint32_t a) | |
| 318 | +{ | |
| 319 | + long double f = a; | |
| 320 | + u128_t x = copy_ild(f); | |
| 321 | + printf("cvtluw %08lx %016llx%016llx\n", (long)a, x.x1, x.x0); | |
| 322 | +} | |
| 323 | + | |
| 324 | +void cvtlux(uint64_t a) | |
| 325 | +{ | |
| 326 | + long double f = a; | |
| 327 | + u128_t x = copy_ild(f); | |
| 328 | + printf("cvtlux %016llx %016llx%016llx\n", (long long)a, x.x1, x.x0); | |
| 329 | +} | |
| 330 | + | |
| 331 | +void cvtil(long double a) | |
| 332 | +{ | |
| 333 | + u128_t x = copy_ild(a); | |
| 334 | + int32_t b1 = a; | |
| 335 | + int64_t b2 = a; | |
| 336 | + uint32_t b3 = a; | |
| 337 | + uint64_t b4 = a; | |
| 338 | + printf("cvtswl %016llx%016llx %08lx\n", | |
| 339 | + x.x1, x.x0, (long)(uint32_t)b1); | |
| 340 | + printf("cvtsxl %016llx%016llx %016llx\n", | |
| 341 | + x.x1, x.x0, (long long)(uint64_t)b2); | |
| 342 | + printf("cvtuwl %016llx%016llx %08lx\n", | |
| 343 | + x.x1, x.x0, (long)b3); | |
| 344 | + printf("cvtuxl %016llx%016llx %016llx\n", | |
| 345 | + x.x1, x.x0, (long long)b4); | |
| 346 | +} | |
| 347 | + | |
| 348 | +void cvtlf(float a) | |
| 349 | +{ | |
| 350 | + uint32_t ax = copy_if(a); | |
| 351 | + long double b = a; | |
| 352 | + u128_t bx = copy_ild(b); | |
| 353 | + printf("cvtlf %08lx %016llx%016llx\n", (long)ax, bx.x1, bx.x0); | |
| 354 | +} | |
| 355 | + | |
| 356 | +void cvtld(double a) | |
| 357 | +{ | |
| 358 | + uint64_t ax = copy_id(a); | |
| 359 | + long double b = a; | |
| 360 | + u128_t bx = copy_ild(b); | |
| 361 | + printf("cvtld %016llx %016llx%016llx\n", (long long)ax, bx.x1, bx.x0); | |
| 362 | +} | |
| 363 | + | |
| 364 | +void cvtfl(long double a) | |
| 365 | +{ | |
| 366 | + u128_t ax = copy_ild(a); | |
| 367 | + float b = a; | |
| 368 | + uint32_t bx = copy_if(b); | |
| 369 | + printf("cvtfl %016llx%016llx %08lx\n", ax.x1, ax.x0, (long)bx); | |
| 370 | +} | |
| 371 | + | |
| 372 | +void cvtdl(long double a) | |
| 373 | +{ | |
| 374 | + u128_t ax = copy_ild(a); | |
| 375 | + double b = a; | |
| 376 | + uint64_t bx = copy_id(b); | |
| 377 | + printf("cvtdl %016llx%016llx %016llx\n", ax.x1, ax.x0, (long long)bx); | |
| 378 | +} | |
| 379 | + | |
| 380 | +void cvts(void) | |
| 381 | +{ | |
| 382 | + int i, j; | |
| 383 | + | |
| 384 | + { | |
| 385 | + uint32_t x = 0xad040c5b; | |
| 386 | + cvtlsw(0); | |
| 387 | + for (i = 0; i < 31; i++) | |
| 388 | + cvtlsw(x >> (31 - i)); | |
| 389 | + for (i = 0; i < 31; i++) | |
| 390 | + cvtlsw(-(x >> (31 - i))); | |
| 391 | + cvtlsw(0x80000000); | |
| 392 | + } | |
| 393 | + { | |
| 394 | + uint64_t x = 0xb630a248cad9afd2; | |
| 395 | + cvtlsx(0); | |
| 396 | + for (i = 0; i < 63; i++) | |
| 397 | + cvtlsx(x >> (63 - i)); | |
| 398 | + for (i = 0; i < 63; i++) | |
| 399 | + cvtlsx(-(x >> (63 - i))); | |
| 400 | + cvtlsx(0x8000000000000000); | |
| 401 | + } | |
| 402 | + { | |
| 403 | + uint32_t x = 0xad040c5b; | |
| 404 | + cvtluw(0); | |
| 405 | + for (i = 0; i < 32; i++) | |
| 406 | + cvtluw(x >> (31 - i)); | |
| 407 | + } | |
| 408 | + { | |
| 409 | + uint64_t x = 0xb630a248cad9afd2; | |
| 410 | + cvtlux(0); | |
| 411 | + for (i = 0; i < 64; i++) | |
| 412 | + cvtlux(x >> (63 - i)); | |
| 413 | + } | |
| 414 | + | |
| 415 | + for (i = 0; i < 2; i++) { | |
| 416 | + cvtil(make(i, 32767, 0, 1)); | |
| 417 | + cvtil(make(i, 32767, (uint64_t)1 << 47, 0)); | |
| 418 | + cvtil(make(i, 32767, 123, 456)); | |
| 419 | + cvtil(make(i, 32767, 0, 0)); | |
| 420 | + cvtil(make(i, 16382, -1, -1)); | |
| 421 | + cvtil(make(i, 16383, -1, -1)); | |
| 422 | + cvtil(make(i, 16384, 0x7fffffffffff, -1)); | |
| 423 | + cvtil(make(i, 16384, 0x800000000000, 0)); | |
| 424 | + for (j = 0; j < 68; j++) | |
| 425 | + cvtil(make(i, 16381 + j, 0xd4822c0a10ec, 0x1fe2f8b2669f5c9d)); | |
| 426 | + } | |
| 427 | + | |
| 428 | + cvtlf(copy_fi(0x00000000)); | |
| 429 | + cvtlf(copy_fi(0x456789ab)); | |
| 430 | + cvtlf(copy_fi(0x7f800000)); | |
| 431 | + cvtlf(copy_fi(0x7f923456)); | |
| 432 | + cvtlf(copy_fi(0x7fdbcdef)); | |
| 433 | + cvtlf(copy_fi(0x80000000)); | |
| 434 | + cvtlf(copy_fi(0xabcdef12)); | |
| 435 | + cvtlf(copy_fi(0xff800000)); | |
| 436 | + cvtlf(copy_fi(0xff923456)); | |
| 437 | + cvtlf(copy_fi(0xffdbcdef)); | |
| 438 | + | |
| 439 | + cvtld(copy_di(0x0000000000000000)); | |
| 440 | + cvtld(copy_di(0x456789abcdef0123)); | |
| 441 | + cvtld(copy_di(0x7ff0000000000000)); | |
| 442 | + cvtld(copy_di(0x7ff123456789abcd)); | |
| 443 | + cvtld(copy_di(0x7ffabcdef1234567)); | |
| 444 | + cvtld(copy_di(0x8000000000000000)); | |
| 445 | + cvtld(copy_di(0xcdef123456789abc)); | |
| 446 | + cvtld(copy_di(0xfff0000000000000)); | |
| 447 | + cvtld(copy_di(0xfff123456789abcd)); | |
| 448 | + cvtld(copy_di(0xfffabcdef1234567)); | |
| 449 | + | |
| 450 | + for (i = 0; i < 2; i++) { \ | |
| 451 | + cvtfl(make(i, 0, 0, 0)); | |
| 452 | + cvtfl(make(i, 16232, -1, -1)); | |
| 453 | + cvtfl(make(i, 16233, 0, 0)); | |
| 454 | + cvtfl(make(i, 16233, 0, 1)); | |
| 455 | + cvtfl(make(i, 16383, 0xab0ffd000000, 0)); | |
| 456 | + cvtfl(make(i, 16383, 0xab0ffd000001, 0)); | |
| 457 | + cvtfl(make(i, 16383, 0xab0ffeffffff, 0)); | |
| 458 | + cvtfl(make(i, 16383, 0xab0fff000000, 0)); | |
| 459 | + cvtfl(make(i, 16383, 0xab0fff000001, 0)); | |
| 460 | + cvtfl(make(i, 16510, 0xfffffeffffff, -1)); | |
| 461 | + cvtfl(make(i, 16510, 0xffffff000000, 0)); | |
| 462 | + cvtfl(make(i, 16511, 0, 0)); | |
| 463 | + cvtfl(make(i, 32767, 0, 0)); | |
| 464 | + cvtfl(make(i, 32767, 0, 1)); | |
| 465 | + cvtfl(make(i, 32767, 0x4cbe01ac5f40, 0x75cee3c6afbb00b5)); | |
| 466 | + cvtfl(make(i, 32767, 0x800000000000, 1)); | |
| 467 | + cvtfl(make(i, 32767, 0xa11caaaf6a52, 0x696033e871eab099)); | |
| 468 | + } | |
| 469 | + | |
| 470 | + for (i = 0; i < 2; i++) { | |
| 471 | + cvtdl(make(i, 0, 0, 0)); | |
| 472 | + cvtdl(make(i, 15307, -1, -1)); | |
| 473 | + cvtdl(make(i, 15308, 0, 0)); | |
| 474 | + cvtdl(make(i, 15308, 0, 1)); | |
| 475 | + cvtdl(make(i, 16383, 0xabc123abc0ff, 0xe800000000000000)); | |
| 476 | + cvtdl(make(i, 16383, 0xabc123abc0ff, 0xe800000000000001)); | |
| 477 | + cvtdl(make(i, 16383, 0xabc123abc0ff, 0xf7ffffffffffffff)); | |
| 478 | + cvtdl(make(i, 16383, 0xabc123abc0ff, 0xf800000000000000)); | |
| 479 | + cvtdl(make(i, 16383, 0xabc123abc0ff, 0xf800000000000001)); | |
| 480 | + cvtdl(make(i, 17406, 0xffffffffffff, 0xf7ffffffffffffff)); | |
| 481 | + cvtdl(make(i, 17406, 0xffffffffffff, 0xf800000000000000)); | |
| 482 | + cvtdl(make(i, 17407, 0, 0)); | |
| 483 | + cvtdl(make(i, 32767, 0, 0)); | |
| 484 | + cvtdl(make(i, 32767, 0, 1)); | |
| 485 | + cvtdl(make(i, 32767, 0x4cbe01ac5f40, 0x75cee3c6afbb00b5)); | |
| 486 | + cvtdl(make(i, 32767, 0x800000000000, 1)); | |
| 487 | + cvtdl(make(i, 32767, 0xa11caaaf6a52, 0x696033e871eab099)); | |
| 488 | + } | |
| 489 | +} | |
| 490 | + | |
| 491 | +void tests(void) | |
| 492 | +{ | |
| 493 | + cmps(); | |
| 494 | + nanz(); | |
| 495 | + adds(); | |
| 496 | + muls(); | |
| 497 | + divs(); | |
| 498 | + cvts(); | |
| 499 | +} | |
| 500 | + | |
| 501 | +int main() | |
| 502 | +{ | |
| 503 | +#ifdef __aarch64__ | |
| 504 | + tests(); | |
| 505 | +#else | |
| 506 | + printf("This test program is intended for a little-endian architecture\n" | |
| 507 | + "with an IEEE-standard 128-bit long double.\n"); | |
| 508 | +#endif | |
| 509 | + return 0; | |
| 510 | +} | |