Patrick Williams | c124f4f | 2015-09-15 14:41:29 -0500 | [diff] [blame] | 1 | From aa0cd82892f32e58602143c697ef0524696a6428 Mon Sep 17 00:00:00 2001 |
| 2 | From: Khem Raj <raj.khem@gmail.com> |
| 3 | Date: Wed, 18 Mar 2015 00:01:50 +0000 |
| 4 | Subject: [PATCH 05/27] fsl e500/e5500/e6500/603e fsqrt implementation |
| 5 | |
| 6 | Upstream-Status: Pending |
| 7 | Signed-off-by: Edmar Wienskoski <edmar@freescale.com> |
| 8 | Signed-off-by: Khem Raj <raj.khem@gmail.com> |
| 9 | --- |
| 10 | sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c | 134 +++++++++++++++++++++ |
| 11 | sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c | 101 ++++++++++++++++ |
| 12 | sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c | 134 +++++++++++++++++++++ |
| 13 | sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c | 101 ++++++++++++++++ |
| 14 | sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c | 134 +++++++++++++++++++++ |
| 15 | sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c | 101 ++++++++++++++++ |
| 16 | sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c | 134 +++++++++++++++++++++ |
| 17 | sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c | 101 ++++++++++++++++ |
| 18 | sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c | 134 +++++++++++++++++++++ |
| 19 | sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c | 101 ++++++++++++++++ |
| 20 | sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c | 134 +++++++++++++++++++++ |
| 21 | sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c | 101 ++++++++++++++++ |
| 22 | .../sysv/linux/powerpc/powerpc32/603e/fpu/Implies | 1 + |
| 23 | .../linux/powerpc/powerpc32/e300c3/fpu/Implies | 2 + |
| 24 | .../linux/powerpc/powerpc32/e500mc/fpu/Implies | 1 + |
| 25 | .../sysv/linux/powerpc/powerpc32/e5500/fpu/Implies | 1 + |
| 26 | .../sysv/linux/powerpc/powerpc32/e6500/fpu/Implies | 1 + |
| 27 | .../sysv/linux/powerpc/powerpc64/e5500/fpu/Implies | 1 + |
| 28 | .../sysv/linux/powerpc/powerpc64/e6500/fpu/Implies | 1 + |
| 29 | 19 files changed, 1418 insertions(+) |
| 30 | create mode 100644 sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c |
| 31 | create mode 100644 sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c |
| 32 | create mode 100644 sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c |
| 33 | create mode 100644 sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c |
| 34 | create mode 100644 sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c |
| 35 | create mode 100644 sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c |
| 36 | create mode 100644 sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c |
| 37 | create mode 100644 sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c |
| 38 | create mode 100644 sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c |
| 39 | create mode 100644 sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c |
| 40 | create mode 100644 sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c |
| 41 | create mode 100644 sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c |
| 42 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies |
| 43 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies |
| 44 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies |
| 45 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies |
| 46 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies |
| 47 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies |
| 48 | create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies |
| 49 | |
| 50 | diff --git a/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c |
| 51 | new file mode 100644 |
| 52 | index 0000000..71e516d |
| 53 | --- /dev/null |
| 54 | +++ b/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c |
| 55 | @@ -0,0 +1,134 @@ |
| 56 | +/* Double-precision floating point square root. |
| 57 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 58 | + This file is part of the GNU C Library. |
| 59 | + |
| 60 | + The GNU C Library is free software; you can redistribute it and/or |
| 61 | + modify it under the terms of the GNU Lesser General Public |
| 62 | + License as published by the Free Software Foundation; either |
| 63 | + version 2.1 of the License, or (at your option) any later version. |
| 64 | + |
| 65 | + The GNU C Library is distributed in the hope that it will be useful, |
| 66 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 67 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 68 | + Lesser General Public License for more details. |
| 69 | + |
| 70 | + You should have received a copy of the GNU Lesser General Public |
| 71 | + License along with the GNU C Library; if not, write to the Free |
| 72 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 73 | + 02111-1307 USA. */ |
| 74 | + |
| 75 | +#include <math.h> |
| 76 | +#include <math_private.h> |
| 77 | +#include <fenv_libc.h> |
| 78 | +#include <inttypes.h> |
| 79 | + |
| 80 | +#include <sysdep.h> |
| 81 | +#include <ldsodefs.h> |
| 82 | + |
| 83 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 84 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 85 | +static const float two108 = 3.245185536584267269e+32; |
| 86 | +static const float twom54 = 5.551115123125782702e-17; |
| 87 | +static const float half = 0.5; |
| 88 | + |
| 89 | +/* The method is based on the descriptions in: |
| 90 | + |
| 91 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 92 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 93 | + |
| 94 | + We find the actual square root and half of its reciprocal |
| 95 | + simultaneously. */ |
| 96 | + |
| 97 | +#ifdef __STDC__ |
| 98 | +double |
| 99 | +__ieee754_sqrt (double b) |
| 100 | +#else |
| 101 | +double |
| 102 | +__ieee754_sqrt (b) |
| 103 | + double b; |
| 104 | +#endif |
| 105 | +{ |
| 106 | + if (__builtin_expect (b > 0, 1)) |
| 107 | + { |
| 108 | + double y, g, h, d, r; |
| 109 | + ieee_double_shape_type u; |
| 110 | + |
| 111 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 112 | + { |
| 113 | + fenv_t fe; |
| 114 | + |
| 115 | + fe = fegetenv_register (); |
| 116 | + |
| 117 | + u.value = b; |
| 118 | + |
| 119 | + relax_fenv_state (); |
| 120 | + |
| 121 | + __asm__ ("frsqrte %[estimate], %[x]\n" |
| 122 | + : [estimate] "=f" (y) : [x] "f" (b)); |
| 123 | + |
| 124 | + /* Following Muller et al, page 168, equation 5.20. |
| 125 | + |
| 126 | + h goes to 1/(2*sqrt(b)) |
| 127 | + g goes to sqrt(b). |
| 128 | + |
| 129 | + We need three iterations to get within 1ulp. */ |
| 130 | + |
| 131 | + /* Indicate that these can be performed prior to the branch. GCC |
| 132 | + insists on sinking them below the branch, however; it seems like |
| 133 | + they'd be better before the branch so that we can cover any latency |
| 134 | + from storing the argument and loading its high word. Oh well. */ |
| 135 | + |
| 136 | + g = b * y; |
| 137 | + h = 0.5 * y; |
| 138 | + |
| 139 | + /* Handle small numbers by scaling. */ |
| 140 | + if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) |
| 141 | + return __ieee754_sqrt (b * two108) * twom54; |
| 142 | + |
| 143 | +#define FMADD(a_, c_, b_) \ |
| 144 | + ({ double __r; \ |
| 145 | + __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \ |
| 146 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 147 | + __r;}) |
| 148 | +#define FNMSUB(a_, c_, b_) \ |
| 149 | + ({ double __r; \ |
| 150 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 151 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 152 | + __r;}) |
| 153 | + |
| 154 | + r = FNMSUB (g, h, half); |
| 155 | + g = FMADD (g, r, g); |
| 156 | + h = FMADD (h, r, h); |
| 157 | + |
| 158 | + r = FNMSUB (g, h, half); |
| 159 | + g = FMADD (g, r, g); |
| 160 | + h = FMADD (h, r, h); |
| 161 | + |
| 162 | + r = FNMSUB (g, h, half); |
| 163 | + g = FMADD (g, r, g); |
| 164 | + h = FMADD (h, r, h); |
| 165 | + |
| 166 | + /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ |
| 167 | + |
| 168 | + /* Final refinement. */ |
| 169 | + d = FNMSUB (g, g, b); |
| 170 | + |
| 171 | + fesetenv_register (fe); |
| 172 | + return FMADD (d, h, g); |
| 173 | + } |
| 174 | + } |
| 175 | + else if (b < 0) |
| 176 | + { |
| 177 | + /* For some reason, some PowerPC32 processors don't implement |
| 178 | + FE_INVALID_SQRT. */ |
| 179 | +#ifdef FE_INVALID_SQRT |
| 180 | + feraiseexcept (FE_INVALID_SQRT); |
| 181 | + |
| 182 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 183 | + if ((u.l & FE_INVALID) == 0) |
| 184 | +#endif |
| 185 | + feraiseexcept (FE_INVALID); |
| 186 | + b = a_nan.value; |
| 187 | + } |
| 188 | + return f_wash (b); |
| 189 | +} |
| 190 | diff --git a/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c |
| 191 | new file mode 100644 |
| 192 | index 0000000..26fa067 |
| 193 | --- /dev/null |
| 194 | +++ b/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c |
| 195 | @@ -0,0 +1,101 @@ |
| 196 | +/* Single-precision floating point square root. |
| 197 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 198 | + This file is part of the GNU C Library. |
| 199 | + |
| 200 | + The GNU C Library is free software; you can redistribute it and/or |
| 201 | + modify it under the terms of the GNU Lesser General Public |
| 202 | + License as published by the Free Software Foundation; either |
| 203 | + version 2.1 of the License, or (at your option) any later version. |
| 204 | + |
| 205 | + The GNU C Library is distributed in the hope that it will be useful, |
| 206 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 207 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 208 | + Lesser General Public License for more details. |
| 209 | + |
| 210 | + You should have received a copy of the GNU Lesser General Public |
| 211 | + License along with the GNU C Library; if not, write to the Free |
| 212 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 213 | + 02111-1307 USA. */ |
| 214 | + |
| 215 | +#include <math.h> |
| 216 | +#include <math_private.h> |
| 217 | +#include <fenv_libc.h> |
| 218 | +#include <inttypes.h> |
| 219 | + |
| 220 | +#include <sysdep.h> |
| 221 | +#include <ldsodefs.h> |
| 222 | + |
| 223 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 224 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 225 | +static const float threehalf = 1.5; |
| 226 | + |
| 227 | +/* The method is based on the descriptions in: |
| 228 | + |
| 229 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 230 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 231 | + |
| 232 | + We find the reciprocal square root and use that to compute the actual |
| 233 | + square root. */ |
| 234 | + |
| 235 | +#ifdef __STDC__ |
| 236 | +float |
| 237 | +__ieee754_sqrtf (float b) |
| 238 | +#else |
| 239 | +float |
| 240 | +__ieee754_sqrtf (b) |
| 241 | + float b; |
| 242 | +#endif |
| 243 | +{ |
| 244 | + if (__builtin_expect (b > 0, 1)) |
| 245 | + { |
| 246 | +#define FMSUB(a_, c_, b_) \ |
| 247 | + ({ double __r; \ |
| 248 | + __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \ |
| 249 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 250 | + __r;}) |
| 251 | +#define FNMSUB(a_, c_, b_) \ |
| 252 | + ({ double __r; \ |
| 253 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 254 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 255 | + __r;}) |
| 256 | + |
| 257 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 258 | + { |
| 259 | + double y, x; |
| 260 | + fenv_t fe; |
| 261 | + |
| 262 | + fe = fegetenv_register (); |
| 263 | + |
| 264 | + relax_fenv_state (); |
| 265 | + |
| 266 | + /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */ |
| 267 | + y = FMSUB (threehalf, b, b); |
| 268 | + |
| 269 | + /* Initial estimate. */ |
| 270 | + __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b)); |
| 271 | + |
| 272 | + /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */ |
| 273 | + x = x * FNMSUB (y, x * x, threehalf); |
| 274 | + x = x * FNMSUB (y, x * x, threehalf); |
| 275 | + x = x * FNMSUB (y, x * x, threehalf); |
| 276 | + |
| 277 | + /* All done. */ |
| 278 | + fesetenv_register (fe); |
| 279 | + return x * b; |
| 280 | + } |
| 281 | + } |
| 282 | + else if (b < 0) |
| 283 | + { |
| 284 | + /* For some reason, some PowerPC32 processors don't implement |
| 285 | + FE_INVALID_SQRT. */ |
| 286 | +#ifdef FE_INVALID_SQRT |
| 287 | + feraiseexcept (FE_INVALID_SQRT); |
| 288 | + |
| 289 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 290 | + if ((u.l & FE_INVALID) == 0) |
| 291 | +#endif |
| 292 | + feraiseexcept (FE_INVALID); |
| 293 | + b = a_nan.value; |
| 294 | + } |
| 295 | + return f_washf (b); |
| 296 | +} |
| 297 | diff --git a/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c |
| 298 | new file mode 100644 |
| 299 | index 0000000..71e516d |
| 300 | --- /dev/null |
| 301 | +++ b/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c |
| 302 | @@ -0,0 +1,134 @@ |
| 303 | +/* Double-precision floating point square root. |
| 304 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 305 | + This file is part of the GNU C Library. |
| 306 | + |
| 307 | + The GNU C Library is free software; you can redistribute it and/or |
| 308 | + modify it under the terms of the GNU Lesser General Public |
| 309 | + License as published by the Free Software Foundation; either |
| 310 | + version 2.1 of the License, or (at your option) any later version. |
| 311 | + |
| 312 | + The GNU C Library is distributed in the hope that it will be useful, |
| 313 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 314 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 315 | + Lesser General Public License for more details. |
| 316 | + |
| 317 | + You should have received a copy of the GNU Lesser General Public |
| 318 | + License along with the GNU C Library; if not, write to the Free |
| 319 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 320 | + 02111-1307 USA. */ |
| 321 | + |
| 322 | +#include <math.h> |
| 323 | +#include <math_private.h> |
| 324 | +#include <fenv_libc.h> |
| 325 | +#include <inttypes.h> |
| 326 | + |
| 327 | +#include <sysdep.h> |
| 328 | +#include <ldsodefs.h> |
| 329 | + |
| 330 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 331 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 332 | +static const float two108 = 3.245185536584267269e+32; |
| 333 | +static const float twom54 = 5.551115123125782702e-17; |
| 334 | +static const float half = 0.5; |
| 335 | + |
| 336 | +/* The method is based on the descriptions in: |
| 337 | + |
| 338 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 339 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 340 | + |
| 341 | + We find the actual square root and half of its reciprocal |
| 342 | + simultaneously. */ |
| 343 | + |
| 344 | +#ifdef __STDC__ |
| 345 | +double |
| 346 | +__ieee754_sqrt (double b) |
| 347 | +#else |
| 348 | +double |
| 349 | +__ieee754_sqrt (b) |
| 350 | + double b; |
| 351 | +#endif |
| 352 | +{ |
| 353 | + if (__builtin_expect (b > 0, 1)) |
| 354 | + { |
| 355 | + double y, g, h, d, r; |
| 356 | + ieee_double_shape_type u; |
| 357 | + |
| 358 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 359 | + { |
| 360 | + fenv_t fe; |
| 361 | + |
| 362 | + fe = fegetenv_register (); |
| 363 | + |
| 364 | + u.value = b; |
| 365 | + |
| 366 | + relax_fenv_state (); |
| 367 | + |
| 368 | + __asm__ ("frsqrte %[estimate], %[x]\n" |
| 369 | + : [estimate] "=f" (y) : [x] "f" (b)); |
| 370 | + |
| 371 | + /* Following Muller et al, page 168, equation 5.20. |
| 372 | + |
| 373 | + h goes to 1/(2*sqrt(b)) |
| 374 | + g goes to sqrt(b). |
| 375 | + |
| 376 | + We need three iterations to get within 1ulp. */ |
| 377 | + |
| 378 | + /* Indicate that these can be performed prior to the branch. GCC |
| 379 | + insists on sinking them below the branch, however; it seems like |
| 380 | + they'd be better before the branch so that we can cover any latency |
| 381 | + from storing the argument and loading its high word. Oh well. */ |
| 382 | + |
| 383 | + g = b * y; |
| 384 | + h = 0.5 * y; |
| 385 | + |
| 386 | + /* Handle small numbers by scaling. */ |
| 387 | + if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) |
| 388 | + return __ieee754_sqrt (b * two108) * twom54; |
| 389 | + |
| 390 | +#define FMADD(a_, c_, b_) \ |
| 391 | + ({ double __r; \ |
| 392 | + __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \ |
| 393 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 394 | + __r;}) |
| 395 | +#define FNMSUB(a_, c_, b_) \ |
| 396 | + ({ double __r; \ |
| 397 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 398 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 399 | + __r;}) |
| 400 | + |
| 401 | + r = FNMSUB (g, h, half); |
| 402 | + g = FMADD (g, r, g); |
| 403 | + h = FMADD (h, r, h); |
| 404 | + |
| 405 | + r = FNMSUB (g, h, half); |
| 406 | + g = FMADD (g, r, g); |
| 407 | + h = FMADD (h, r, h); |
| 408 | + |
| 409 | + r = FNMSUB (g, h, half); |
| 410 | + g = FMADD (g, r, g); |
| 411 | + h = FMADD (h, r, h); |
| 412 | + |
| 413 | + /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ |
| 414 | + |
| 415 | + /* Final refinement. */ |
| 416 | + d = FNMSUB (g, g, b); |
| 417 | + |
| 418 | + fesetenv_register (fe); |
| 419 | + return FMADD (d, h, g); |
| 420 | + } |
| 421 | + } |
| 422 | + else if (b < 0) |
| 423 | + { |
| 424 | + /* For some reason, some PowerPC32 processors don't implement |
| 425 | + FE_INVALID_SQRT. */ |
| 426 | +#ifdef FE_INVALID_SQRT |
| 427 | + feraiseexcept (FE_INVALID_SQRT); |
| 428 | + |
| 429 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 430 | + if ((u.l & FE_INVALID) == 0) |
| 431 | +#endif |
| 432 | + feraiseexcept (FE_INVALID); |
| 433 | + b = a_nan.value; |
| 434 | + } |
| 435 | + return f_wash (b); |
| 436 | +} |
| 437 | diff --git a/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c |
| 438 | new file mode 100644 |
| 439 | index 0000000..26fa067 |
| 440 | --- /dev/null |
| 441 | +++ b/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c |
| 442 | @@ -0,0 +1,101 @@ |
| 443 | +/* Single-precision floating point square root. |
| 444 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 445 | + This file is part of the GNU C Library. |
| 446 | + |
| 447 | + The GNU C Library is free software; you can redistribute it and/or |
| 448 | + modify it under the terms of the GNU Lesser General Public |
| 449 | + License as published by the Free Software Foundation; either |
| 450 | + version 2.1 of the License, or (at your option) any later version. |
| 451 | + |
| 452 | + The GNU C Library is distributed in the hope that it will be useful, |
| 453 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 454 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 455 | + Lesser General Public License for more details. |
| 456 | + |
| 457 | + You should have received a copy of the GNU Lesser General Public |
| 458 | + License along with the GNU C Library; if not, write to the Free |
| 459 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 460 | + 02111-1307 USA. */ |
| 461 | + |
| 462 | +#include <math.h> |
| 463 | +#include <math_private.h> |
| 464 | +#include <fenv_libc.h> |
| 465 | +#include <inttypes.h> |
| 466 | + |
| 467 | +#include <sysdep.h> |
| 468 | +#include <ldsodefs.h> |
| 469 | + |
| 470 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 471 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 472 | +static const float threehalf = 1.5; |
| 473 | + |
| 474 | +/* The method is based on the descriptions in: |
| 475 | + |
| 476 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 477 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 478 | + |
| 479 | + We find the reciprocal square root and use that to compute the actual |
| 480 | + square root. */ |
| 481 | + |
| 482 | +#ifdef __STDC__ |
| 483 | +float |
| 484 | +__ieee754_sqrtf (float b) |
| 485 | +#else |
| 486 | +float |
| 487 | +__ieee754_sqrtf (b) |
| 488 | + float b; |
| 489 | +#endif |
| 490 | +{ |
| 491 | + if (__builtin_expect (b > 0, 1)) |
| 492 | + { |
| 493 | +#define FMSUB(a_, c_, b_) \ |
| 494 | + ({ double __r; \ |
| 495 | + __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \ |
| 496 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 497 | + __r;}) |
| 498 | +#define FNMSUB(a_, c_, b_) \ |
| 499 | + ({ double __r; \ |
| 500 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 501 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 502 | + __r;}) |
| 503 | + |
| 504 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 505 | + { |
| 506 | + double y, x; |
| 507 | + fenv_t fe; |
| 508 | + |
| 509 | + fe = fegetenv_register (); |
| 510 | + |
| 511 | + relax_fenv_state (); |
| 512 | + |
| 513 | + /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */ |
| 514 | + y = FMSUB (threehalf, b, b); |
| 515 | + |
| 516 | + /* Initial estimate. */ |
| 517 | + __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b)); |
| 518 | + |
| 519 | + /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */ |
| 520 | + x = x * FNMSUB (y, x * x, threehalf); |
| 521 | + x = x * FNMSUB (y, x * x, threehalf); |
| 522 | + x = x * FNMSUB (y, x * x, threehalf); |
| 523 | + |
| 524 | + /* All done. */ |
| 525 | + fesetenv_register (fe); |
| 526 | + return x * b; |
| 527 | + } |
| 528 | + } |
| 529 | + else if (b < 0) |
| 530 | + { |
| 531 | + /* For some reason, some PowerPC32 processors don't implement |
| 532 | + FE_INVALID_SQRT. */ |
| 533 | +#ifdef FE_INVALID_SQRT |
| 534 | + feraiseexcept (FE_INVALID_SQRT); |
| 535 | + |
| 536 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 537 | + if ((u.l & FE_INVALID) == 0) |
| 538 | +#endif |
| 539 | + feraiseexcept (FE_INVALID); |
| 540 | + b = a_nan.value; |
| 541 | + } |
| 542 | + return f_washf (b); |
| 543 | +} |
| 544 | diff --git a/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c |
| 545 | new file mode 100644 |
| 546 | index 0000000..71e516d |
| 547 | --- /dev/null |
| 548 | +++ b/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c |
| 549 | @@ -0,0 +1,134 @@ |
| 550 | +/* Double-precision floating point square root. |
| 551 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 552 | + This file is part of the GNU C Library. |
| 553 | + |
| 554 | + The GNU C Library is free software; you can redistribute it and/or |
| 555 | + modify it under the terms of the GNU Lesser General Public |
| 556 | + License as published by the Free Software Foundation; either |
| 557 | + version 2.1 of the License, or (at your option) any later version. |
| 558 | + |
| 559 | + The GNU C Library is distributed in the hope that it will be useful, |
| 560 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 561 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 562 | + Lesser General Public License for more details. |
| 563 | + |
| 564 | + You should have received a copy of the GNU Lesser General Public |
| 565 | + License along with the GNU C Library; if not, write to the Free |
| 566 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 567 | + 02111-1307 USA. */ |
| 568 | + |
| 569 | +#include <math.h> |
| 570 | +#include <math_private.h> |
| 571 | +#include <fenv_libc.h> |
| 572 | +#include <inttypes.h> |
| 573 | + |
| 574 | +#include <sysdep.h> |
| 575 | +#include <ldsodefs.h> |
| 576 | + |
| 577 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 578 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 579 | +static const float two108 = 3.245185536584267269e+32; |
| 580 | +static const float twom54 = 5.551115123125782702e-17; |
| 581 | +static const float half = 0.5; |
| 582 | + |
| 583 | +/* The method is based on the descriptions in: |
| 584 | + |
| 585 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 586 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 587 | + |
| 588 | + We find the actual square root and half of its reciprocal |
| 589 | + simultaneously. */ |
| 590 | + |
| 591 | +#ifdef __STDC__ |
| 592 | +double |
| 593 | +__ieee754_sqrt (double b) |
| 594 | +#else |
| 595 | +double |
| 596 | +__ieee754_sqrt (b) |
| 597 | + double b; |
| 598 | +#endif |
| 599 | +{ |
| 600 | + if (__builtin_expect (b > 0, 1)) |
| 601 | + { |
| 602 | + double y, g, h, d, r; |
| 603 | + ieee_double_shape_type u; |
| 604 | + |
| 605 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 606 | + { |
| 607 | + fenv_t fe; |
| 608 | + |
| 609 | + fe = fegetenv_register (); |
| 610 | + |
| 611 | + u.value = b; |
| 612 | + |
| 613 | + relax_fenv_state (); |
| 614 | + |
| 615 | + __asm__ ("frsqrte %[estimate], %[x]\n" |
| 616 | + : [estimate] "=f" (y) : [x] "f" (b)); |
| 617 | + |
| 618 | + /* Following Muller et al, page 168, equation 5.20. |
| 619 | + |
| 620 | + h goes to 1/(2*sqrt(b)) |
| 621 | + g goes to sqrt(b). |
| 622 | + |
| 623 | + We need three iterations to get within 1ulp. */ |
| 624 | + |
| 625 | + /* Indicate that these can be performed prior to the branch. GCC |
| 626 | + insists on sinking them below the branch, however; it seems like |
| 627 | + they'd be better before the branch so that we can cover any latency |
| 628 | + from storing the argument and loading its high word. Oh well. */ |
| 629 | + |
| 630 | + g = b * y; |
| 631 | + h = 0.5 * y; |
| 632 | + |
| 633 | + /* Handle small numbers by scaling. */ |
| 634 | + if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) |
| 635 | + return __ieee754_sqrt (b * two108) * twom54; |
| 636 | + |
| 637 | +#define FMADD(a_, c_, b_) \ |
| 638 | + ({ double __r; \ |
| 639 | + __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \ |
| 640 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 641 | + __r;}) |
| 642 | +#define FNMSUB(a_, c_, b_) \ |
| 643 | + ({ double __r; \ |
| 644 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 645 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 646 | + __r;}) |
| 647 | + |
| 648 | + r = FNMSUB (g, h, half); |
| 649 | + g = FMADD (g, r, g); |
| 650 | + h = FMADD (h, r, h); |
| 651 | + |
| 652 | + r = FNMSUB (g, h, half); |
| 653 | + g = FMADD (g, r, g); |
| 654 | + h = FMADD (h, r, h); |
| 655 | + |
| 656 | + r = FNMSUB (g, h, half); |
| 657 | + g = FMADD (g, r, g); |
| 658 | + h = FMADD (h, r, h); |
| 659 | + |
| 660 | + /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ |
| 661 | + |
| 662 | + /* Final refinement. */ |
| 663 | + d = FNMSUB (g, g, b); |
| 664 | + |
| 665 | + fesetenv_register (fe); |
| 666 | + return FMADD (d, h, g); |
| 667 | + } |
| 668 | + } |
| 669 | + else if (b < 0) |
| 670 | + { |
| 671 | + /* For some reason, some PowerPC32 processors don't implement |
| 672 | + FE_INVALID_SQRT. */ |
| 673 | +#ifdef FE_INVALID_SQRT |
| 674 | + feraiseexcept (FE_INVALID_SQRT); |
| 675 | + |
| 676 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 677 | + if ((u.l & FE_INVALID) == 0) |
| 678 | +#endif |
| 679 | + feraiseexcept (FE_INVALID); |
| 680 | + b = a_nan.value; |
| 681 | + } |
| 682 | + return f_wash (b); |
| 683 | +} |
| 684 | diff --git a/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c |
| 685 | new file mode 100644 |
| 686 | index 0000000..26fa067 |
| 687 | --- /dev/null |
| 688 | +++ b/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c |
| 689 | @@ -0,0 +1,101 @@ |
| 690 | +/* Single-precision floating point square root. |
| 691 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 692 | + This file is part of the GNU C Library. |
| 693 | + |
| 694 | + The GNU C Library is free software; you can redistribute it and/or |
| 695 | + modify it under the terms of the GNU Lesser General Public |
| 696 | + License as published by the Free Software Foundation; either |
| 697 | + version 2.1 of the License, or (at your option) any later version. |
| 698 | + |
| 699 | + The GNU C Library is distributed in the hope that it will be useful, |
| 700 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 701 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 702 | + Lesser General Public License for more details. |
| 703 | + |
| 704 | + You should have received a copy of the GNU Lesser General Public |
| 705 | + License along with the GNU C Library; if not, write to the Free |
| 706 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 707 | + 02111-1307 USA. */ |
| 708 | + |
| 709 | +#include <math.h> |
| 710 | +#include <math_private.h> |
| 711 | +#include <fenv_libc.h> |
| 712 | +#include <inttypes.h> |
| 713 | + |
| 714 | +#include <sysdep.h> |
| 715 | +#include <ldsodefs.h> |
| 716 | + |
| 717 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 718 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 719 | +static const float threehalf = 1.5; |
| 720 | + |
| 721 | +/* The method is based on the descriptions in: |
| 722 | + |
| 723 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 724 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 725 | + |
| 726 | + We find the reciprocal square root and use that to compute the actual |
| 727 | + square root. */ |
| 728 | + |
| 729 | +#ifdef __STDC__ |
| 730 | +float |
| 731 | +__ieee754_sqrtf (float b) |
| 732 | +#else |
| 733 | +float |
| 734 | +__ieee754_sqrtf (b) |
| 735 | + float b; |
| 736 | +#endif |
| 737 | +{ |
| 738 | + if (__builtin_expect (b > 0, 1)) |
| 739 | + { |
| 740 | +#define FMSUB(a_, c_, b_) \ |
| 741 | + ({ double __r; \ |
| 742 | + __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \ |
| 743 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 744 | + __r;}) |
| 745 | +#define FNMSUB(a_, c_, b_) \ |
| 746 | + ({ double __r; \ |
| 747 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 748 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 749 | + __r;}) |
| 750 | + |
| 751 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 752 | + { |
| 753 | + double y, x; |
| 754 | + fenv_t fe; |
| 755 | + |
| 756 | + fe = fegetenv_register (); |
| 757 | + |
| 758 | + relax_fenv_state (); |
| 759 | + |
| 760 | + /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */ |
| 761 | + y = FMSUB (threehalf, b, b); |
| 762 | + |
| 763 | + /* Initial estimate. */ |
| 764 | + __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b)); |
| 765 | + |
| 766 | + /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */ |
| 767 | + x = x * FNMSUB (y, x * x, threehalf); |
| 768 | + x = x * FNMSUB (y, x * x, threehalf); |
| 769 | + x = x * FNMSUB (y, x * x, threehalf); |
| 770 | + |
| 771 | + /* All done. */ |
| 772 | + fesetenv_register (fe); |
| 773 | + return x * b; |
| 774 | + } |
| 775 | + } |
| 776 | + else if (b < 0) |
| 777 | + { |
| 778 | + /* For some reason, some PowerPC32 processors don't implement |
| 779 | + FE_INVALID_SQRT. */ |
| 780 | +#ifdef FE_INVALID_SQRT |
| 781 | + feraiseexcept (FE_INVALID_SQRT); |
| 782 | + |
| 783 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 784 | + if ((u.l & FE_INVALID) == 0) |
| 785 | +#endif |
| 786 | + feraiseexcept (FE_INVALID); |
| 787 | + b = a_nan.value; |
| 788 | + } |
| 789 | + return f_washf (b); |
| 790 | +} |
| 791 | diff --git a/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c |
| 792 | new file mode 100644 |
| 793 | index 0000000..71e516d |
| 794 | --- /dev/null |
| 795 | +++ b/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c |
| 796 | @@ -0,0 +1,134 @@ |
| 797 | +/* Double-precision floating point square root. |
| 798 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 799 | + This file is part of the GNU C Library. |
| 800 | + |
| 801 | + The GNU C Library is free software; you can redistribute it and/or |
| 802 | + modify it under the terms of the GNU Lesser General Public |
| 803 | + License as published by the Free Software Foundation; either |
| 804 | + version 2.1 of the License, or (at your option) any later version. |
| 805 | + |
| 806 | + The GNU C Library is distributed in the hope that it will be useful, |
| 807 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 808 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 809 | + Lesser General Public License for more details. |
| 810 | + |
| 811 | + You should have received a copy of the GNU Lesser General Public |
| 812 | + License along with the GNU C Library; if not, write to the Free |
| 813 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 814 | + 02111-1307 USA. */ |
| 815 | + |
| 816 | +#include <math.h> |
| 817 | +#include <math_private.h> |
| 818 | +#include <fenv_libc.h> |
| 819 | +#include <inttypes.h> |
| 820 | + |
| 821 | +#include <sysdep.h> |
| 822 | +#include <ldsodefs.h> |
| 823 | + |
| 824 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 825 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 826 | +static const float two108 = 3.245185536584267269e+32; |
| 827 | +static const float twom54 = 5.551115123125782702e-17; |
| 828 | +static const float half = 0.5; |
| 829 | + |
| 830 | +/* The method is based on the descriptions in: |
| 831 | + |
| 832 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 833 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 834 | + |
| 835 | + We find the actual square root and half of its reciprocal |
| 836 | + simultaneously. */ |
| 837 | + |
| 838 | +#ifdef __STDC__ |
| 839 | +double |
| 840 | +__ieee754_sqrt (double b) |
| 841 | +#else |
| 842 | +double |
| 843 | +__ieee754_sqrt (b) |
| 844 | + double b; |
| 845 | +#endif |
| 846 | +{ |
| 847 | + if (__builtin_expect (b > 0, 1)) |
| 848 | + { |
| 849 | + double y, g, h, d, r; |
| 850 | + ieee_double_shape_type u; |
| 851 | + |
| 852 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 853 | + { |
| 854 | + fenv_t fe; |
| 855 | + |
| 856 | + fe = fegetenv_register (); |
| 857 | + |
| 858 | + u.value = b; |
| 859 | + |
| 860 | + relax_fenv_state (); |
| 861 | + |
| 862 | + __asm__ ("frsqrte %[estimate], %[x]\n" |
| 863 | + : [estimate] "=f" (y) : [x] "f" (b)); |
| 864 | + |
| 865 | + /* Following Muller et al, page 168, equation 5.20. |
| 866 | + |
| 867 | + h goes to 1/(2*sqrt(b)) |
| 868 | + g goes to sqrt(b). |
| 869 | + |
| 870 | + We need three iterations to get within 1ulp. */ |
| 871 | + |
| 872 | + /* Indicate that these can be performed prior to the branch. GCC |
| 873 | + insists on sinking them below the branch, however; it seems like |
| 874 | + they'd be better before the branch so that we can cover any latency |
| 875 | + from storing the argument and loading its high word. Oh well. */ |
| 876 | + |
| 877 | + g = b * y; |
| 878 | + h = 0.5 * y; |
| 879 | + |
| 880 | + /* Handle small numbers by scaling. */ |
| 881 | + if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) |
| 882 | + return __ieee754_sqrt (b * two108) * twom54; |
| 883 | + |
| 884 | +#define FMADD(a_, c_, b_) \ |
| 885 | + ({ double __r; \ |
| 886 | + __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \ |
| 887 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 888 | + __r;}) |
| 889 | +#define FNMSUB(a_, c_, b_) \ |
| 890 | + ({ double __r; \ |
| 891 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 892 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 893 | + __r;}) |
| 894 | + |
| 895 | + r = FNMSUB (g, h, half); |
| 896 | + g = FMADD (g, r, g); |
| 897 | + h = FMADD (h, r, h); |
| 898 | + |
| 899 | + r = FNMSUB (g, h, half); |
| 900 | + g = FMADD (g, r, g); |
| 901 | + h = FMADD (h, r, h); |
| 902 | + |
| 903 | + r = FNMSUB (g, h, half); |
| 904 | + g = FMADD (g, r, g); |
| 905 | + h = FMADD (h, r, h); |
| 906 | + |
| 907 | + /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ |
| 908 | + |
| 909 | + /* Final refinement. */ |
| 910 | + d = FNMSUB (g, g, b); |
| 911 | + |
| 912 | + fesetenv_register (fe); |
| 913 | + return FMADD (d, h, g); |
| 914 | + } |
| 915 | + } |
| 916 | + else if (b < 0) |
| 917 | + { |
| 918 | + /* For some reason, some PowerPC32 processors don't implement |
| 919 | + FE_INVALID_SQRT. */ |
| 920 | +#ifdef FE_INVALID_SQRT |
| 921 | + feraiseexcept (FE_INVALID_SQRT); |
| 922 | + |
| 923 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 924 | + if ((u.l & FE_INVALID) == 0) |
| 925 | +#endif |
| 926 | + feraiseexcept (FE_INVALID); |
| 927 | + b = a_nan.value; |
| 928 | + } |
| 929 | + return f_wash (b); |
| 930 | +} |
| 931 | diff --git a/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c |
| 932 | new file mode 100644 |
| 933 | index 0000000..26fa067 |
| 934 | --- /dev/null |
| 935 | +++ b/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c |
| 936 | @@ -0,0 +1,101 @@ |
| 937 | +/* Single-precision floating point square root. |
| 938 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 939 | + This file is part of the GNU C Library. |
| 940 | + |
| 941 | + The GNU C Library is free software; you can redistribute it and/or |
| 942 | + modify it under the terms of the GNU Lesser General Public |
| 943 | + License as published by the Free Software Foundation; either |
| 944 | + version 2.1 of the License, or (at your option) any later version. |
| 945 | + |
| 946 | + The GNU C Library is distributed in the hope that it will be useful, |
| 947 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 948 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 949 | + Lesser General Public License for more details. |
| 950 | + |
| 951 | + You should have received a copy of the GNU Lesser General Public |
| 952 | + License along with the GNU C Library; if not, write to the Free |
| 953 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 954 | + 02111-1307 USA. */ |
| 955 | + |
| 956 | +#include <math.h> |
| 957 | +#include <math_private.h> |
| 958 | +#include <fenv_libc.h> |
| 959 | +#include <inttypes.h> |
| 960 | + |
| 961 | +#include <sysdep.h> |
| 962 | +#include <ldsodefs.h> |
| 963 | + |
| 964 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 965 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 966 | +static const float threehalf = 1.5; |
| 967 | + |
| 968 | +/* The method is based on the descriptions in: |
| 969 | + |
| 970 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 971 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 972 | + |
| 973 | + We find the reciprocal square root and use that to compute the actual |
| 974 | + square root. */ |
| 975 | + |
| 976 | +#ifdef __STDC__ |
| 977 | +float |
| 978 | +__ieee754_sqrtf (float b) |
| 979 | +#else |
| 980 | +float |
| 981 | +__ieee754_sqrtf (b) |
| 982 | + float b; |
| 983 | +#endif |
| 984 | +{ |
| 985 | + if (__builtin_expect (b > 0, 1)) |
| 986 | + { |
| 987 | +#define FMSUB(a_, c_, b_) \ |
| 988 | + ({ double __r; \ |
| 989 | + __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \ |
| 990 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 991 | + __r;}) |
| 992 | +#define FNMSUB(a_, c_, b_) \ |
| 993 | + ({ double __r; \ |
| 994 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 995 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 996 | + __r;}) |
| 997 | + |
| 998 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 999 | + { |
| 1000 | + double y, x; |
| 1001 | + fenv_t fe; |
| 1002 | + |
| 1003 | + fe = fegetenv_register (); |
| 1004 | + |
| 1005 | + relax_fenv_state (); |
| 1006 | + |
| 1007 | + /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */ |
| 1008 | + y = FMSUB (threehalf, b, b); |
| 1009 | + |
| 1010 | + /* Initial estimate. */ |
| 1011 | + __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b)); |
| 1012 | + |
| 1013 | + /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */ |
| 1014 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1015 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1016 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1017 | + |
| 1018 | + /* All done. */ |
| 1019 | + fesetenv_register (fe); |
| 1020 | + return x * b; |
| 1021 | + } |
| 1022 | + } |
| 1023 | + else if (b < 0) |
| 1024 | + { |
| 1025 | + /* For some reason, some PowerPC32 processors don't implement |
| 1026 | + FE_INVALID_SQRT. */ |
| 1027 | +#ifdef FE_INVALID_SQRT |
| 1028 | + feraiseexcept (FE_INVALID_SQRT); |
| 1029 | + |
| 1030 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 1031 | + if ((u.l & FE_INVALID) == 0) |
| 1032 | +#endif |
| 1033 | + feraiseexcept (FE_INVALID); |
| 1034 | + b = a_nan.value; |
| 1035 | + } |
| 1036 | + return f_washf (b); |
| 1037 | +} |
| 1038 | diff --git a/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c |
| 1039 | new file mode 100644 |
| 1040 | index 0000000..71e516d |
| 1041 | --- /dev/null |
| 1042 | +++ b/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c |
| 1043 | @@ -0,0 +1,134 @@ |
| 1044 | +/* Double-precision floating point square root. |
| 1045 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 1046 | + This file is part of the GNU C Library. |
| 1047 | + |
| 1048 | + The GNU C Library is free software; you can redistribute it and/or |
| 1049 | + modify it under the terms of the GNU Lesser General Public |
| 1050 | + License as published by the Free Software Foundation; either |
| 1051 | + version 2.1 of the License, or (at your option) any later version. |
| 1052 | + |
| 1053 | + The GNU C Library is distributed in the hope that it will be useful, |
| 1054 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 1055 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 1056 | + Lesser General Public License for more details. |
| 1057 | + |
| 1058 | + You should have received a copy of the GNU Lesser General Public |
| 1059 | + License along with the GNU C Library; if not, write to the Free |
| 1060 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 1061 | + 02111-1307 USA. */ |
| 1062 | + |
| 1063 | +#include <math.h> |
| 1064 | +#include <math_private.h> |
| 1065 | +#include <fenv_libc.h> |
| 1066 | +#include <inttypes.h> |
| 1067 | + |
| 1068 | +#include <sysdep.h> |
| 1069 | +#include <ldsodefs.h> |
| 1070 | + |
| 1071 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 1072 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 1073 | +static const float two108 = 3.245185536584267269e+32; |
| 1074 | +static const float twom54 = 5.551115123125782702e-17; |
| 1075 | +static const float half = 0.5; |
| 1076 | + |
| 1077 | +/* The method is based on the descriptions in: |
| 1078 | + |
| 1079 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 1080 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 1081 | + |
| 1082 | + We find the actual square root and half of its reciprocal |
| 1083 | + simultaneously. */ |
| 1084 | + |
| 1085 | +#ifdef __STDC__ |
| 1086 | +double |
| 1087 | +__ieee754_sqrt (double b) |
| 1088 | +#else |
| 1089 | +double |
| 1090 | +__ieee754_sqrt (b) |
| 1091 | + double b; |
| 1092 | +#endif |
| 1093 | +{ |
| 1094 | + if (__builtin_expect (b > 0, 1)) |
| 1095 | + { |
| 1096 | + double y, g, h, d, r; |
| 1097 | + ieee_double_shape_type u; |
| 1098 | + |
| 1099 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 1100 | + { |
| 1101 | + fenv_t fe; |
| 1102 | + |
| 1103 | + fe = fegetenv_register (); |
| 1104 | + |
| 1105 | + u.value = b; |
| 1106 | + |
| 1107 | + relax_fenv_state (); |
| 1108 | + |
| 1109 | + __asm__ ("frsqrte %[estimate], %[x]\n" |
| 1110 | + : [estimate] "=f" (y) : [x] "f" (b)); |
| 1111 | + |
| 1112 | + /* Following Muller et al, page 168, equation 5.20. |
| 1113 | + |
| 1114 | + h goes to 1/(2*sqrt(b)) |
| 1115 | + g goes to sqrt(b). |
| 1116 | + |
| 1117 | + We need three iterations to get within 1ulp. */ |
| 1118 | + |
| 1119 | + /* Indicate that these can be performed prior to the branch. GCC |
| 1120 | + insists on sinking them below the branch, however; it seems like |
| 1121 | + they'd be better before the branch so that we can cover any latency |
| 1122 | + from storing the argument and loading its high word. Oh well. */ |
| 1123 | + |
| 1124 | + g = b * y; |
| 1125 | + h = 0.5 * y; |
| 1126 | + |
| 1127 | + /* Handle small numbers by scaling. */ |
| 1128 | + if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) |
| 1129 | + return __ieee754_sqrt (b * two108) * twom54; |
| 1130 | + |
| 1131 | +#define FMADD(a_, c_, b_) \ |
| 1132 | + ({ double __r; \ |
| 1133 | + __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \ |
| 1134 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1135 | + __r;}) |
| 1136 | +#define FNMSUB(a_, c_, b_) \ |
| 1137 | + ({ double __r; \ |
| 1138 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 1139 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1140 | + __r;}) |
| 1141 | + |
| 1142 | + r = FNMSUB (g, h, half); |
| 1143 | + g = FMADD (g, r, g); |
| 1144 | + h = FMADD (h, r, h); |
| 1145 | + |
| 1146 | + r = FNMSUB (g, h, half); |
| 1147 | + g = FMADD (g, r, g); |
| 1148 | + h = FMADD (h, r, h); |
| 1149 | + |
| 1150 | + r = FNMSUB (g, h, half); |
| 1151 | + g = FMADD (g, r, g); |
| 1152 | + h = FMADD (h, r, h); |
| 1153 | + |
| 1154 | + /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ |
| 1155 | + |
| 1156 | + /* Final refinement. */ |
| 1157 | + d = FNMSUB (g, g, b); |
| 1158 | + |
| 1159 | + fesetenv_register (fe); |
| 1160 | + return FMADD (d, h, g); |
| 1161 | + } |
| 1162 | + } |
| 1163 | + else if (b < 0) |
| 1164 | + { |
| 1165 | + /* For some reason, some PowerPC32 processors don't implement |
| 1166 | + FE_INVALID_SQRT. */ |
| 1167 | +#ifdef FE_INVALID_SQRT |
| 1168 | + feraiseexcept (FE_INVALID_SQRT); |
| 1169 | + |
| 1170 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 1171 | + if ((u.l & FE_INVALID) == 0) |
| 1172 | +#endif |
| 1173 | + feraiseexcept (FE_INVALID); |
| 1174 | + b = a_nan.value; |
| 1175 | + } |
| 1176 | + return f_wash (b); |
| 1177 | +} |
| 1178 | diff --git a/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c |
| 1179 | new file mode 100644 |
| 1180 | index 0000000..26fa067 |
| 1181 | --- /dev/null |
| 1182 | +++ b/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c |
| 1183 | @@ -0,0 +1,101 @@ |
| 1184 | +/* Single-precision floating point square root. |
| 1185 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 1186 | + This file is part of the GNU C Library. |
| 1187 | + |
| 1188 | + The GNU C Library is free software; you can redistribute it and/or |
| 1189 | + modify it under the terms of the GNU Lesser General Public |
| 1190 | + License as published by the Free Software Foundation; either |
| 1191 | + version 2.1 of the License, or (at your option) any later version. |
| 1192 | + |
| 1193 | + The GNU C Library is distributed in the hope that it will be useful, |
| 1194 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 1195 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 1196 | + Lesser General Public License for more details. |
| 1197 | + |
| 1198 | + You should have received a copy of the GNU Lesser General Public |
| 1199 | + License along with the GNU C Library; if not, write to the Free |
| 1200 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 1201 | + 02111-1307 USA. */ |
| 1202 | + |
| 1203 | +#include <math.h> |
| 1204 | +#include <math_private.h> |
| 1205 | +#include <fenv_libc.h> |
| 1206 | +#include <inttypes.h> |
| 1207 | + |
| 1208 | +#include <sysdep.h> |
| 1209 | +#include <ldsodefs.h> |
| 1210 | + |
| 1211 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 1212 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 1213 | +static const float threehalf = 1.5; |
| 1214 | + |
| 1215 | +/* The method is based on the descriptions in: |
| 1216 | + |
| 1217 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 1218 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 1219 | + |
| 1220 | + We find the reciprocal square root and use that to compute the actual |
| 1221 | + square root. */ |
| 1222 | + |
| 1223 | +#ifdef __STDC__ |
| 1224 | +float |
| 1225 | +__ieee754_sqrtf (float b) |
| 1226 | +#else |
| 1227 | +float |
| 1228 | +__ieee754_sqrtf (b) |
| 1229 | + float b; |
| 1230 | +#endif |
| 1231 | +{ |
| 1232 | + if (__builtin_expect (b > 0, 1)) |
| 1233 | + { |
| 1234 | +#define FMSUB(a_, c_, b_) \ |
| 1235 | + ({ double __r; \ |
| 1236 | + __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \ |
| 1237 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1238 | + __r;}) |
| 1239 | +#define FNMSUB(a_, c_, b_) \ |
| 1240 | + ({ double __r; \ |
| 1241 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 1242 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1243 | + __r;}) |
| 1244 | + |
| 1245 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 1246 | + { |
| 1247 | + double y, x; |
| 1248 | + fenv_t fe; |
| 1249 | + |
| 1250 | + fe = fegetenv_register (); |
| 1251 | + |
| 1252 | + relax_fenv_state (); |
| 1253 | + |
| 1254 | + /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */ |
| 1255 | + y = FMSUB (threehalf, b, b); |
| 1256 | + |
| 1257 | + /* Initial estimate. */ |
| 1258 | + __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b)); |
| 1259 | + |
| 1260 | + /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */ |
| 1261 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1262 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1263 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1264 | + |
| 1265 | + /* All done. */ |
| 1266 | + fesetenv_register (fe); |
| 1267 | + return x * b; |
| 1268 | + } |
| 1269 | + } |
| 1270 | + else if (b < 0) |
| 1271 | + { |
| 1272 | + /* For some reason, some PowerPC32 processors don't implement |
| 1273 | + FE_INVALID_SQRT. */ |
| 1274 | +#ifdef FE_INVALID_SQRT |
| 1275 | + feraiseexcept (FE_INVALID_SQRT); |
| 1276 | + |
| 1277 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 1278 | + if ((u.l & FE_INVALID) == 0) |
| 1279 | +#endif |
| 1280 | + feraiseexcept (FE_INVALID); |
| 1281 | + b = a_nan.value; |
| 1282 | + } |
| 1283 | + return f_washf (b); |
| 1284 | +} |
| 1285 | diff --git a/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c |
| 1286 | new file mode 100644 |
| 1287 | index 0000000..71e516d |
| 1288 | --- /dev/null |
| 1289 | +++ b/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c |
| 1290 | @@ -0,0 +1,134 @@ |
| 1291 | +/* Double-precision floating point square root. |
| 1292 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 1293 | + This file is part of the GNU C Library. |
| 1294 | + |
| 1295 | + The GNU C Library is free software; you can redistribute it and/or |
| 1296 | + modify it under the terms of the GNU Lesser General Public |
| 1297 | + License as published by the Free Software Foundation; either |
| 1298 | + version 2.1 of the License, or (at your option) any later version. |
| 1299 | + |
| 1300 | + The GNU C Library is distributed in the hope that it will be useful, |
| 1301 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 1302 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 1303 | + Lesser General Public License for more details. |
| 1304 | + |
| 1305 | + You should have received a copy of the GNU Lesser General Public |
| 1306 | + License along with the GNU C Library; if not, write to the Free |
| 1307 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 1308 | + 02111-1307 USA. */ |
| 1309 | + |
| 1310 | +#include <math.h> |
| 1311 | +#include <math_private.h> |
| 1312 | +#include <fenv_libc.h> |
| 1313 | +#include <inttypes.h> |
| 1314 | + |
| 1315 | +#include <sysdep.h> |
| 1316 | +#include <ldsodefs.h> |
| 1317 | + |
| 1318 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 1319 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 1320 | +static const float two108 = 3.245185536584267269e+32; |
| 1321 | +static const float twom54 = 5.551115123125782702e-17; |
| 1322 | +static const float half = 0.5; |
| 1323 | + |
| 1324 | +/* The method is based on the descriptions in: |
| 1325 | + |
| 1326 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 1327 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 1328 | + |
| 1329 | + We find the actual square root and half of its reciprocal |
| 1330 | + simultaneously. */ |
| 1331 | + |
| 1332 | +#ifdef __STDC__ |
| 1333 | +double |
| 1334 | +__ieee754_sqrt (double b) |
| 1335 | +#else |
| 1336 | +double |
| 1337 | +__ieee754_sqrt (b) |
| 1338 | + double b; |
| 1339 | +#endif |
| 1340 | +{ |
| 1341 | + if (__builtin_expect (b > 0, 1)) |
| 1342 | + { |
| 1343 | + double y, g, h, d, r; |
| 1344 | + ieee_double_shape_type u; |
| 1345 | + |
| 1346 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 1347 | + { |
| 1348 | + fenv_t fe; |
| 1349 | + |
| 1350 | + fe = fegetenv_register (); |
| 1351 | + |
| 1352 | + u.value = b; |
| 1353 | + |
| 1354 | + relax_fenv_state (); |
| 1355 | + |
| 1356 | + __asm__ ("frsqrte %[estimate], %[x]\n" |
| 1357 | + : [estimate] "=f" (y) : [x] "f" (b)); |
| 1358 | + |
| 1359 | + /* Following Muller et al, page 168, equation 5.20. |
| 1360 | + |
| 1361 | + h goes to 1/(2*sqrt(b)) |
| 1362 | + g goes to sqrt(b). |
| 1363 | + |
| 1364 | + We need three iterations to get within 1ulp. */ |
| 1365 | + |
| 1366 | + /* Indicate that these can be performed prior to the branch. GCC |
| 1367 | + insists on sinking them below the branch, however; it seems like |
| 1368 | + they'd be better before the branch so that we can cover any latency |
| 1369 | + from storing the argument and loading its high word. Oh well. */ |
| 1370 | + |
| 1371 | + g = b * y; |
| 1372 | + h = 0.5 * y; |
| 1373 | + |
| 1374 | + /* Handle small numbers by scaling. */ |
| 1375 | + if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) |
| 1376 | + return __ieee754_sqrt (b * two108) * twom54; |
| 1377 | + |
| 1378 | +#define FMADD(a_, c_, b_) \ |
| 1379 | + ({ double __r; \ |
| 1380 | + __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \ |
| 1381 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1382 | + __r;}) |
| 1383 | +#define FNMSUB(a_, c_, b_) \ |
| 1384 | + ({ double __r; \ |
| 1385 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 1386 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1387 | + __r;}) |
| 1388 | + |
| 1389 | + r = FNMSUB (g, h, half); |
| 1390 | + g = FMADD (g, r, g); |
| 1391 | + h = FMADD (h, r, h); |
| 1392 | + |
| 1393 | + r = FNMSUB (g, h, half); |
| 1394 | + g = FMADD (g, r, g); |
| 1395 | + h = FMADD (h, r, h); |
| 1396 | + |
| 1397 | + r = FNMSUB (g, h, half); |
| 1398 | + g = FMADD (g, r, g); |
| 1399 | + h = FMADD (h, r, h); |
| 1400 | + |
| 1401 | + /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ |
| 1402 | + |
| 1403 | + /* Final refinement. */ |
| 1404 | + d = FNMSUB (g, g, b); |
| 1405 | + |
| 1406 | + fesetenv_register (fe); |
| 1407 | + return FMADD (d, h, g); |
| 1408 | + } |
| 1409 | + } |
| 1410 | + else if (b < 0) |
| 1411 | + { |
| 1412 | + /* For some reason, some PowerPC32 processors don't implement |
| 1413 | + FE_INVALID_SQRT. */ |
| 1414 | +#ifdef FE_INVALID_SQRT |
| 1415 | + feraiseexcept (FE_INVALID_SQRT); |
| 1416 | + |
| 1417 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 1418 | + if ((u.l & FE_INVALID) == 0) |
| 1419 | +#endif |
| 1420 | + feraiseexcept (FE_INVALID); |
| 1421 | + b = a_nan.value; |
| 1422 | + } |
| 1423 | + return f_wash (b); |
| 1424 | +} |
| 1425 | diff --git a/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c |
| 1426 | new file mode 100644 |
| 1427 | index 0000000..26fa067 |
| 1428 | --- /dev/null |
| 1429 | +++ b/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c |
| 1430 | @@ -0,0 +1,101 @@ |
| 1431 | +/* Single-precision floating point square root. |
| 1432 | + Copyright (C) 2010 Free Software Foundation, Inc. |
| 1433 | + This file is part of the GNU C Library. |
| 1434 | + |
| 1435 | + The GNU C Library is free software; you can redistribute it and/or |
| 1436 | + modify it under the terms of the GNU Lesser General Public |
| 1437 | + License as published by the Free Software Foundation; either |
| 1438 | + version 2.1 of the License, or (at your option) any later version. |
| 1439 | + |
| 1440 | + The GNU C Library is distributed in the hope that it will be useful, |
| 1441 | + but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 1442 | + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 1443 | + Lesser General Public License for more details. |
| 1444 | + |
| 1445 | + You should have received a copy of the GNU Lesser General Public |
| 1446 | + License along with the GNU C Library; if not, write to the Free |
| 1447 | + Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 1448 | + 02111-1307 USA. */ |
| 1449 | + |
| 1450 | +#include <math.h> |
| 1451 | +#include <math_private.h> |
| 1452 | +#include <fenv_libc.h> |
| 1453 | +#include <inttypes.h> |
| 1454 | + |
| 1455 | +#include <sysdep.h> |
| 1456 | +#include <ldsodefs.h> |
| 1457 | + |
| 1458 | +static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 }; |
| 1459 | +static const ieee_float_shape_type a_inf = {.word = 0x7f800000 }; |
| 1460 | +static const float threehalf = 1.5; |
| 1461 | + |
| 1462 | +/* The method is based on the descriptions in: |
| 1463 | + |
| 1464 | + _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5; |
| 1465 | + _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9 |
| 1466 | + |
| 1467 | + We find the reciprocal square root and use that to compute the actual |
| 1468 | + square root. */ |
| 1469 | + |
| 1470 | +#ifdef __STDC__ |
| 1471 | +float |
| 1472 | +__ieee754_sqrtf (float b) |
| 1473 | +#else |
| 1474 | +float |
| 1475 | +__ieee754_sqrtf (b) |
| 1476 | + float b; |
| 1477 | +#endif |
| 1478 | +{ |
| 1479 | + if (__builtin_expect (b > 0, 1)) |
| 1480 | + { |
| 1481 | +#define FMSUB(a_, c_, b_) \ |
| 1482 | + ({ double __r; \ |
| 1483 | + __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \ |
| 1484 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1485 | + __r;}) |
| 1486 | +#define FNMSUB(a_, c_, b_) \ |
| 1487 | + ({ double __r; \ |
| 1488 | + __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \ |
| 1489 | + : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \ |
| 1490 | + __r;}) |
| 1491 | + |
| 1492 | + if (__builtin_expect (b != a_inf.value, 1)) |
| 1493 | + { |
| 1494 | + double y, x; |
| 1495 | + fenv_t fe; |
| 1496 | + |
| 1497 | + fe = fegetenv_register (); |
| 1498 | + |
| 1499 | + relax_fenv_state (); |
| 1500 | + |
| 1501 | + /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */ |
| 1502 | + y = FMSUB (threehalf, b, b); |
| 1503 | + |
| 1504 | + /* Initial estimate. */ |
| 1505 | + __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b)); |
| 1506 | + |
| 1507 | + /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */ |
| 1508 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1509 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1510 | + x = x * FNMSUB (y, x * x, threehalf); |
| 1511 | + |
| 1512 | + /* All done. */ |
| 1513 | + fesetenv_register (fe); |
| 1514 | + return x * b; |
| 1515 | + } |
| 1516 | + } |
| 1517 | + else if (b < 0) |
| 1518 | + { |
| 1519 | + /* For some reason, some PowerPC32 processors don't implement |
| 1520 | + FE_INVALID_SQRT. */ |
| 1521 | +#ifdef FE_INVALID_SQRT |
| 1522 | + feraiseexcept (FE_INVALID_SQRT); |
| 1523 | + |
| 1524 | + fenv_union_t u = { .fenv = fegetenv_register () }; |
| 1525 | + if ((u.l & FE_INVALID) == 0) |
| 1526 | +#endif |
| 1527 | + feraiseexcept (FE_INVALID); |
| 1528 | + b = a_nan.value; |
| 1529 | + } |
| 1530 | + return f_washf (b); |
| 1531 | +} |
| 1532 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies |
| 1533 | new file mode 100644 |
| 1534 | index 0000000..b103b4d |
| 1535 | --- /dev/null |
| 1536 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies |
| 1537 | @@ -0,0 +1 @@ |
| 1538 | +powerpc/powerpc32/603e/fpu |
| 1539 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies |
| 1540 | new file mode 100644 |
| 1541 | index 0000000..64db17f |
| 1542 | --- /dev/null |
| 1543 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies |
| 1544 | @@ -0,0 +1,2 @@ |
| 1545 | +# e300c3 is a variant of 603e so use the same optimizations for sqrt |
| 1546 | +powerpc/powerpc32/603e/fpu |
| 1547 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies |
| 1548 | new file mode 100644 |
| 1549 | index 0000000..7eac5fc |
| 1550 | --- /dev/null |
| 1551 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies |
| 1552 | @@ -0,0 +1 @@ |
| 1553 | +powerpc/powerpc32/e500mc/fpu |
| 1554 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies |
| 1555 | new file mode 100644 |
| 1556 | index 0000000..264b2a7 |
| 1557 | --- /dev/null |
| 1558 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies |
| 1559 | @@ -0,0 +1 @@ |
| 1560 | +powerpc/powerpc32/e5500/fpu |
| 1561 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies |
| 1562 | new file mode 100644 |
| 1563 | index 0000000..a259344 |
| 1564 | --- /dev/null |
| 1565 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies |
| 1566 | @@ -0,0 +1 @@ |
| 1567 | +powerpc/powerpc32/e6500/fpu |
| 1568 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies |
| 1569 | new file mode 100644 |
| 1570 | index 0000000..a7bc854 |
| 1571 | --- /dev/null |
| 1572 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies |
| 1573 | @@ -0,0 +1 @@ |
| 1574 | +powerpc/powerpc64/e5500/fpu |
| 1575 | diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies |
| 1576 | new file mode 100644 |
| 1577 | index 0000000..04ff8cc |
| 1578 | --- /dev/null |
| 1579 | +++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies |
| 1580 | @@ -0,0 +1 @@ |
| 1581 | +powerpc/powerpc64/e6500/fpu |
| 1582 | -- |
| 1583 | 2.1.4 |
| 1584 | |