| Jingwei Zhang | 5d4f0e6 | 2014-10-31 18:29:18 +0800 | [diff] [blame] | 1 | /* |
| 2 | Copyright (c) 2014, Intel Corporation |
| 3 | All rights reserved. |
| 4 | |
| 5 | Redistribution and use in source and binary forms, with or without |
| 6 | modification, are permitted provided that the following conditions are met: |
| 7 | |
| 8 | * Redistributions of source code must retain the above copyright notice, |
| 9 | * this list of conditions and the following disclaimer. |
| 10 | |
| 11 | * Redistributions in binary form must reproduce the above copyright notice, |
| 12 | * this list of conditions and the following disclaimer in the documentation |
| 13 | * and/or other materials provided with the distribution. |
| 14 | |
| 15 | * Neither the name of Intel Corporation nor the names of its contributors |
| 16 | * may be used to endorse or promote products derived from this software |
| 17 | * without specific prior written permission. |
| 18 | |
| 19 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND |
| 20 | ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED |
| 21 | WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE |
| 22 | DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR |
| 23 | ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES |
| 24 | (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
| 25 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON |
| 26 | ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| 27 | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
| 28 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 29 | */ |
| 30 | |
| 31 | /******************************************************************************/ |
| 32 | // ALGORITHM DESCRIPTION |
| 33 | // --------------------- |
| 34 | // |
| 35 | // 1. RANGE REDUCTION |
| 36 | // |
| 37 | // We perform an initial range reduction from X to r with |
| 38 | // |
| 39 | // X =~= N * pi/32 + r |
| 40 | // |
| 41 | // so that |r| <= pi/64 + epsilon. We restrict inputs to those |
| 42 | // where |N| <= 932560. Beyond this, the range reduction is |
| 43 | // insufficiently accurate. For extremely small inputs, |
| 44 | // denormalization can occur internally, impacting performance. |
| 45 | // This means that the main path is actually only taken for |
| 46 | // 2^-252 <= |X| < 90112. |
| 47 | // |
| 48 | // To avoid branches, we perform the range reduction to full |
| 49 | // accuracy each time. |
| 50 | // |
| 51 | // X - N * (P_1 + P_2 + P_3) |
| 52 | // |
| 53 | // where P_1 and P_2 are 32-bit numbers (so multiplication by N |
| 54 | // is exact) and P_3 is a 53-bit number. Together, these |
| 55 | // approximate pi well enough for all cases in the restricted |
| 56 | // range. |
| 57 | // |
| 58 | // The main reduction sequence is: |
| 59 | // |
| 60 | // y = 32/pi * x |
| 61 | // N = integer(y) |
| 62 | // (computed by adding and subtracting off SHIFTER) |
| 63 | // |
| 64 | // m_1 = N * P_1 |
| 65 | // m_2 = N * P_2 |
| 66 | // r_1 = x - m_1 |
| 67 | // r = r_1 - m_2 |
| 68 | // (this r can be used for most of the calculation) |
| 69 | // |
| 70 | // c_1 = r_1 - r |
| 71 | // m_3 = N * P_3 |
| 72 | // c_2 = c_1 - m_2 |
| 73 | // c = c_2 - m_3 |
| 74 | // |
| 75 | // 2. MAIN ALGORITHM |
| 76 | // |
| 77 | // The algorithm uses a table lookup based on B = M * pi / 32 |
| 78 | // where M = N mod 64. The stored values are: |
| 79 | // sigma closest power of 2 to cos(B) |
| 80 | // C_hl 53-bit cos(B) - sigma |
| 81 | // S_hi + S_lo 2 * 53-bit sin(B) |
| 82 | // |
| 83 | // The computation is organized as follows: |
| 84 | // |
| 85 | // sin(B + r + c) = [sin(B) + sigma * r] + |
| 86 | // r * (cos(B) - sigma) + |
| 87 | // sin(B) * [cos(r + c) - 1] + |
| 88 | // cos(B) * [sin(r + c) - r] |
| 89 | // |
| 90 | // which is approximately: |
| 91 | // |
| 92 | // [S_hi + sigma * r] + |
| 93 | // C_hl * r + |
| 94 | // S_lo + S_hi * [(cos(r) - 1) - r * c] + |
| 95 | // (C_hl + sigma) * [(sin(r) - r) + c] |
| 96 | // |
| 97 | // and this is what is actually computed. We separate this sum |
| 98 | // into four parts: |
| 99 | // |
| 100 | // hi + med + pols + corr |
| 101 | // |
| 102 | // where |
| 103 | // |
| 104 | // hi = S_hi + sigma r |
| 105 | // med = C_hl * r |
| 106 | // pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r) |
| 107 | // corr = S_lo + c * ((C_hl + sigma) - S_hi * r) |
| 108 | // |
| 109 | // 3. POLYNOMIAL |
| 110 | // |
| 111 | // The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) * |
| 112 | // (sin(r) - r) can be rearranged freely, since it is quite |
| 113 | // small, so we exploit parallelism to the fullest. |
| 114 | // |
| 115 | // psc4 = SC_4 * r_1 |
| 116 | // msc4 = psc4 * r |
| 117 | // r2 = r * r |
| 118 | // msc2 = SC_2 * r2 |
| 119 | // r4 = r2 * r2 |
| 120 | // psc3 = SC_3 + msc4 |
| 121 | // psc1 = SC_1 + msc2 |
| 122 | // msc3 = r4 * psc3 |
| 123 | // sincospols = psc1 + msc3 |
| 124 | // pols = sincospols * |
| 125 | // <S_hi * r^2 | (C_hl + sigma) * r^3> |
| 126 | // |
| 127 | // 4. CORRECTION TERM |
| 128 | // |
| 129 | // This is where the "c" component of the range reduction is |
| 130 | // taken into account; recall that just "r" is used for most of |
| 131 | // the calculation. |
| 132 | // |
| 133 | // -c = m_3 - c_2 |
| 134 | // -d = S_hi * r - (C_hl + sigma) |
| 135 | // corr = -c * -d + S_lo |
| 136 | // |
| 137 | // 5. COMPENSATED SUMMATIONS |
| 138 | // |
| 139 | // The two successive compensated summations add up the high |
| 140 | // and medium parts, leaving just the low parts to add up at |
| 141 | // the end. |
| 142 | // |
| 143 | // rs = sigma * r |
| 144 | // res_int = S_hi + rs |
| 145 | // k_0 = S_hi - res_int |
| 146 | // k_2 = k_0 + rs |
| 147 | // med = C_hl * r |
| 148 | // res_hi = res_int + med |
| 149 | // k_1 = res_int - res_hi |
| 150 | // k_3 = k_1 + med |
| 151 | // |
| 152 | // 6. FINAL SUMMATION |
| 153 | // |
| 154 | // We now add up all the small parts: |
| 155 | // |
| 156 | // res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3 |
| 157 | // |
| 158 | // Now the overall result is just: |
| 159 | // |
| 160 | // res_hi + res_lo |
| 161 | // |
| 162 | // 7. SMALL ARGUMENTS |
| 163 | // |
| 164 | // If |x| < SNN (SNN meaning the smallest normal number), we |
| 165 | // simply perform 0.1111111 cdots 1111 * x. For SNN <= |x|, we |
| 166 | // do 2^-55 * (2^55 * x - x). |
| 167 | // |
| 168 | // Special cases: |
| 169 | // sin(NaN) = quiet NaN, and raise invalid exception |
| 170 | // sin(INF) = NaN and raise invalid exception |
| 171 | // sin(+/-0) = +/-0 |
| 172 | // |
| 173 | /******************************************************************************/ |
| 174 | |
| 175 | #include <private/bionic_asm.h> |
| 176 | # -- Begin static_func |
| 177 | .text |
| 178 | .align __bionic_asm_align |
| 179 | .type static_func, @function |
| 180 | static_func: |
| 181 | ..B1.1: |
| 182 | call ..L2 |
| 183 | ..L2: |
| 184 | popl %eax |
| 185 | lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax |
| 186 | lea static_const_table@GOTOFF(%eax), %eax |
| 187 | ret |
| 188 | .size static_func,.-static_func |
| 189 | # -- End static_func |
| 190 | |
| 191 | # -- Begin sin |
| 192 | ENTRY(sin) |
| 193 | # parameter 1: 8 + %ebp |
| 194 | ..B2.1: |
| 195 | ..B2.2: |
| 196 | pushl %ebp |
| 197 | movl %esp, %ebp |
| 198 | subl $120, %esp |
| 199 | movl %ebx, 56(%esp) |
| 200 | call static_func |
| 201 | movl %eax, %ebx |
| 202 | movsd 128(%esp), %xmm0 |
| 203 | pextrw $3, %xmm0, %eax |
| 204 | andl $32767, %eax |
| 205 | subl $12336, %eax |
| 206 | cmpl $4293, %eax |
| 207 | ja .L_2TAG_PACKET_0.0.2 |
| 208 | movsd 2160(%ebx), %xmm1 |
| 209 | mulsd %xmm0, %xmm1 |
| 210 | movsd 2272(%ebx), %xmm5 |
| 211 | movapd 2256(%ebx), %xmm4 |
| 212 | andpd %xmm0, %xmm4 |
| 213 | orps %xmm4, %xmm5 |
| 214 | movsd 2128(%ebx), %xmm3 |
| 215 | movapd 2112(%ebx), %xmm2 |
| 216 | addpd %xmm5, %xmm1 |
| 217 | cvttsd2si %xmm1, %edx |
| 218 | cvtsi2sdl %edx, %xmm1 |
| 219 | mulsd %xmm1, %xmm3 |
| 220 | unpcklpd %xmm1, %xmm1 |
| 221 | addl $1865216, %edx |
| 222 | movapd %xmm0, %xmm4 |
| 223 | andl $63, %edx |
| 224 | movapd 2096(%ebx), %xmm5 |
| 225 | lea (%ebx), %eax |
| 226 | shll $5, %edx |
| 227 | addl %edx, %eax |
| 228 | mulpd %xmm1, %xmm2 |
| 229 | subsd %xmm3, %xmm0 |
| 230 | mulsd 2144(%ebx), %xmm1 |
| 231 | subsd %xmm3, %xmm4 |
| 232 | movsd 8(%eax), %xmm7 |
| 233 | unpcklpd %xmm0, %xmm0 |
| 234 | movapd %xmm4, %xmm3 |
| 235 | subsd %xmm2, %xmm4 |
| 236 | mulpd %xmm0, %xmm5 |
| 237 | subpd %xmm2, %xmm0 |
| 238 | movapd 2064(%ebx), %xmm6 |
| 239 | mulsd %xmm4, %xmm7 |
| 240 | subsd %xmm4, %xmm3 |
| 241 | mulpd %xmm0, %xmm5 |
| 242 | mulpd %xmm0, %xmm0 |
| 243 | subsd %xmm2, %xmm3 |
| 244 | movapd (%eax), %xmm2 |
| 245 | subsd %xmm3, %xmm1 |
| 246 | movsd 24(%eax), %xmm3 |
| 247 | addsd %xmm3, %xmm2 |
| 248 | subsd %xmm2, %xmm7 |
| 249 | mulsd %xmm4, %xmm2 |
| 250 | mulpd %xmm0, %xmm6 |
| 251 | mulsd %xmm4, %xmm3 |
| 252 | mulpd %xmm0, %xmm2 |
| 253 | mulpd %xmm0, %xmm0 |
| 254 | addpd 2080(%ebx), %xmm5 |
| 255 | mulsd (%eax), %xmm4 |
| 256 | addpd 2048(%ebx), %xmm6 |
| 257 | mulpd %xmm0, %xmm5 |
| 258 | movapd %xmm3, %xmm0 |
| 259 | addsd 8(%eax), %xmm3 |
| 260 | mulpd %xmm7, %xmm1 |
| 261 | movapd %xmm4, %xmm7 |
| 262 | addsd %xmm3, %xmm4 |
| 263 | addpd %xmm5, %xmm6 |
| 264 | movsd 8(%eax), %xmm5 |
| 265 | subsd %xmm3, %xmm5 |
| 266 | subsd %xmm4, %xmm3 |
| 267 | addsd 16(%eax), %xmm1 |
| 268 | mulpd %xmm2, %xmm6 |
| 269 | addsd %xmm0, %xmm5 |
| 270 | addsd %xmm7, %xmm3 |
| 271 | addsd %xmm5, %xmm1 |
| 272 | addsd %xmm3, %xmm1 |
| 273 | addsd %xmm6, %xmm1 |
| 274 | unpckhpd %xmm6, %xmm6 |
| 275 | addsd %xmm6, %xmm1 |
| 276 | addsd %xmm1, %xmm4 |
| 277 | movsd %xmm4, (%esp) |
| 278 | fldl (%esp) |
| 279 | jmp .L_2TAG_PACKET_1.0.2 |
| 280 | .L_2TAG_PACKET_0.0.2: |
| 281 | jg .L_2TAG_PACKET_2.0.2 |
| 282 | shrl $4, %eax |
| 283 | cmpl $268434685, %eax |
| 284 | jne .L_2TAG_PACKET_3.0.2 |
| 285 | movsd %xmm0, (%esp) |
| 286 | fldl (%esp) |
| 287 | jmp .L_2TAG_PACKET_1.0.2 |
| 288 | .L_2TAG_PACKET_3.0.2: |
| 289 | movsd 2192(%ebx), %xmm3 |
| 290 | mulsd %xmm0, %xmm3 |
| 291 | subsd %xmm0, %xmm3 |
| 292 | mulsd 2208(%ebx), %xmm3 |
| 293 | movsd %xmm0, (%esp) |
| 294 | fldl (%esp) |
| 295 | jmp .L_2TAG_PACKET_1.0.2 |
| 296 | .L_2TAG_PACKET_2.0.2: |
| 297 | movl 132(%esp), %eax |
| 298 | andl $2146435072, %eax |
| 299 | cmpl $2146435072, %eax |
| 300 | je .L_2TAG_PACKET_4.0.2 |
| 301 | subl $32, %esp |
| 302 | movsd %xmm0, (%esp) |
| 303 | lea 40(%esp), %eax |
| 304 | movl %eax, 8(%esp) |
| 305 | movl $2, %eax |
| 306 | movl %eax, 12(%esp) |
| 307 | call __libm_sincos_huge |
| 308 | addl $32, %esp |
| 309 | fldl 16(%esp) |
| 310 | jmp .L_2TAG_PACKET_1.0.2 |
| 311 | .L_2TAG_PACKET_4.0.2: |
| 312 | fldl 128(%esp) |
| 313 | fmull 2240(%ebx) |
| 314 | .L_2TAG_PACKET_1.0.2: |
| 315 | movl 56(%esp), %ebx |
| 316 | movl %ebp, %esp |
| 317 | popl %ebp |
| 318 | ret |
| 319 | ..B2.3: |
| 320 | END(sin) |
| 321 | # -- End sin |
| 322 | |
| 323 | # Start file scope ASM |
| 324 | .weak sinl |
| 325 | .equ sinl, sin |
| 326 | # End file scope ASM |
| 327 | .section .rodata, "a" |
| 328 | .align 16 |
| 329 | .align 16 |
| 330 | static_const_table: |
| 331 | .long 0 |
| 332 | .long 0 |
| 333 | .long 0 |
| 334 | .long 0 |
| 335 | .long 0 |
| 336 | .long 0 |
| 337 | .long 0 |
| 338 | .long 1072693248 |
| 339 | .long 393047345 |
| 340 | .long 3212032302 |
| 341 | .long 3156849708 |
| 342 | .long 1069094822 |
| 343 | .long 3758096384 |
| 344 | .long 3158189848 |
| 345 | .long 0 |
| 346 | .long 1072693248 |
| 347 | .long 18115067 |
| 348 | .long 3214126342 |
| 349 | .long 1013556747 |
| 350 | .long 1070135480 |
| 351 | .long 3221225472 |
| 352 | .long 3160567065 |
| 353 | .long 0 |
| 354 | .long 1072693248 |
| 355 | .long 2476548698 |
| 356 | .long 3215330282 |
| 357 | .long 785751814 |
| 358 | .long 1070765062 |
| 359 | .long 2684354560 |
| 360 | .long 3161838221 |
| 361 | .long 0 |
| 362 | .long 1072693248 |
| 363 | .long 2255197647 |
| 364 | .long 3216211105 |
| 365 | .long 2796464483 |
| 366 | .long 1071152610 |
| 367 | .long 3758096384 |
| 368 | .long 3160878317 |
| 369 | .long 0 |
| 370 | .long 1072693248 |
| 371 | .long 1945768569 |
| 372 | .long 3216915048 |
| 373 | .long 939980347 |
| 374 | .long 1071524701 |
| 375 | .long 536870912 |
| 376 | .long 1012796809 |
| 377 | .long 0 |
| 378 | .long 1072693248 |
| 379 | .long 1539668340 |
| 380 | .long 3217396327 |
| 381 | .long 967731400 |
| 382 | .long 1071761211 |
| 383 | .long 536870912 |
| 384 | .long 1015752157 |
| 385 | .long 0 |
| 386 | .long 1072693248 |
| 387 | .long 1403757309 |
| 388 | .long 3217886718 |
| 389 | .long 621354454 |
| 390 | .long 1071926515 |
| 391 | .long 536870912 |
| 392 | .long 1013450602 |
| 393 | .long 0 |
| 394 | .long 1072693248 |
| 395 | .long 2583490354 |
| 396 | .long 1070236281 |
| 397 | .long 1719614413 |
| 398 | .long 1072079006 |
| 399 | .long 536870912 |
| 400 | .long 3163282740 |
| 401 | .long 0 |
| 402 | .long 1071644672 |
| 403 | .long 2485417816 |
| 404 | .long 1069626316 |
| 405 | .long 1796544321 |
| 406 | .long 1072217216 |
| 407 | .long 536870912 |
| 408 | .long 3162686945 |
| 409 | .long 0 |
| 410 | .long 1071644672 |
| 411 | .long 2598800519 |
| 412 | .long 1068266419 |
| 413 | .long 688824739 |
| 414 | .long 1072339814 |
| 415 | .long 3758096384 |
| 416 | .long 1010431536 |
| 417 | .long 0 |
| 418 | .long 1071644672 |
| 419 | .long 2140183630 |
| 420 | .long 3214756396 |
| 421 | .long 4051746225 |
| 422 | .long 1072445618 |
| 423 | .long 2147483648 |
| 424 | .long 3161907377 |
| 425 | .long 0 |
| 426 | .long 1071644672 |
| 427 | .long 1699043957 |
| 428 | .long 3216902261 |
| 429 | .long 3476196678 |
| 430 | .long 1072533611 |
| 431 | .long 536870912 |
| 432 | .long 1014257638 |
| 433 | .long 0 |
| 434 | .long 1071644672 |
| 435 | .long 1991047213 |
| 436 | .long 1067753521 |
| 437 | .long 1455828442 |
| 438 | .long 1072602945 |
| 439 | .long 3758096384 |
| 440 | .long 1015505073 |
| 441 | .long 0 |
| 442 | .long 1070596096 |
| 443 | .long 240740309 |
| 444 | .long 3215727903 |
| 445 | .long 3489094832 |
| 446 | .long 1072652951 |
| 447 | .long 536870912 |
| 448 | .long 1014325783 |
| 449 | .long 0 |
| 450 | .long 1070596096 |
| 451 | .long 257503056 |
| 452 | .long 3214647653 |
| 453 | .long 2748392742 |
| 454 | .long 1072683149 |
| 455 | .long 1073741824 |
| 456 | .long 3163061750 |
| 457 | .long 0 |
| 458 | .long 1069547520 |
| 459 | .long 0 |
| 460 | .long 0 |
| 461 | .long 0 |
| 462 | .long 1072693248 |
| 463 | .long 0 |
| 464 | .long 0 |
| 465 | .long 0 |
| 466 | .long 0 |
| 467 | .long 257503056 |
| 468 | .long 1067164005 |
| 469 | .long 2748392742 |
| 470 | .long 1072683149 |
| 471 | .long 1073741824 |
| 472 | .long 3163061750 |
| 473 | .long 0 |
| 474 | .long 3217031168 |
| 475 | .long 240740309 |
| 476 | .long 1068244255 |
| 477 | .long 3489094832 |
| 478 | .long 1072652951 |
| 479 | .long 536870912 |
| 480 | .long 1014325783 |
| 481 | .long 0 |
| 482 | .long 3218079744 |
| 483 | .long 1991047213 |
| 484 | .long 3215237169 |
| 485 | .long 1455828442 |
| 486 | .long 1072602945 |
| 487 | .long 3758096384 |
| 488 | .long 1015505073 |
| 489 | .long 0 |
| 490 | .long 3218079744 |
| 491 | .long 1699043957 |
| 492 | .long 1069418613 |
| 493 | .long 3476196678 |
| 494 | .long 1072533611 |
| 495 | .long 536870912 |
| 496 | .long 1014257638 |
| 497 | .long 0 |
| 498 | .long 3219128320 |
| 499 | .long 2140183630 |
| 500 | .long 1067272748 |
| 501 | .long 4051746225 |
| 502 | .long 1072445618 |
| 503 | .long 2147483648 |
| 504 | .long 3161907377 |
| 505 | .long 0 |
| 506 | .long 3219128320 |
| 507 | .long 2598800519 |
| 508 | .long 3215750067 |
| 509 | .long 688824739 |
| 510 | .long 1072339814 |
| 511 | .long 3758096384 |
| 512 | .long 1010431536 |
| 513 | .long 0 |
| 514 | .long 3219128320 |
| 515 | .long 2485417816 |
| 516 | .long 3217109964 |
| 517 | .long 1796544321 |
| 518 | .long 1072217216 |
| 519 | .long 536870912 |
| 520 | .long 3162686945 |
| 521 | .long 0 |
| 522 | .long 3219128320 |
| 523 | .long 2583490354 |
| 524 | .long 3217719929 |
| 525 | .long 1719614413 |
| 526 | .long 1072079006 |
| 527 | .long 536870912 |
| 528 | .long 3163282740 |
| 529 | .long 0 |
| 530 | .long 3219128320 |
| 531 | .long 1403757309 |
| 532 | .long 1070403070 |
| 533 | .long 621354454 |
| 534 | .long 1071926515 |
| 535 | .long 536870912 |
| 536 | .long 1013450602 |
| 537 | .long 0 |
| 538 | .long 3220176896 |
| 539 | .long 1539668340 |
| 540 | .long 1069912679 |
| 541 | .long 967731400 |
| 542 | .long 1071761211 |
| 543 | .long 536870912 |
| 544 | .long 1015752157 |
| 545 | .long 0 |
| 546 | .long 3220176896 |
| 547 | .long 1945768569 |
| 548 | .long 1069431400 |
| 549 | .long 939980347 |
| 550 | .long 1071524701 |
| 551 | .long 536870912 |
| 552 | .long 1012796809 |
| 553 | .long 0 |
| 554 | .long 3220176896 |
| 555 | .long 2255197647 |
| 556 | .long 1068727457 |
| 557 | .long 2796464483 |
| 558 | .long 1071152610 |
| 559 | .long 3758096384 |
| 560 | .long 3160878317 |
| 561 | .long 0 |
| 562 | .long 3220176896 |
| 563 | .long 2476548698 |
| 564 | .long 1067846634 |
| 565 | .long 785751814 |
| 566 | .long 1070765062 |
| 567 | .long 2684354560 |
| 568 | .long 3161838221 |
| 569 | .long 0 |
| 570 | .long 3220176896 |
| 571 | .long 18115067 |
| 572 | .long 1066642694 |
| 573 | .long 1013556747 |
| 574 | .long 1070135480 |
| 575 | .long 3221225472 |
| 576 | .long 3160567065 |
| 577 | .long 0 |
| 578 | .long 3220176896 |
| 579 | .long 393047345 |
| 580 | .long 1064548654 |
| 581 | .long 3156849708 |
| 582 | .long 1069094822 |
| 583 | .long 3758096384 |
| 584 | .long 3158189848 |
| 585 | .long 0 |
| 586 | .long 3220176896 |
| 587 | .long 0 |
| 588 | .long 0 |
| 589 | .long 0 |
| 590 | .long 0 |
| 591 | .long 0 |
| 592 | .long 0 |
| 593 | .long 0 |
| 594 | .long 3220176896 |
| 595 | .long 393047345 |
| 596 | .long 1064548654 |
| 597 | .long 3156849708 |
| 598 | .long 3216578470 |
| 599 | .long 3758096384 |
| 600 | .long 1010706200 |
| 601 | .long 0 |
| 602 | .long 3220176896 |
| 603 | .long 18115067 |
| 604 | .long 1066642694 |
| 605 | .long 1013556747 |
| 606 | .long 3217619128 |
| 607 | .long 3221225472 |
| 608 | .long 1013083417 |
| 609 | .long 0 |
| 610 | .long 3220176896 |
| 611 | .long 2476548698 |
| 612 | .long 1067846634 |
| 613 | .long 785751814 |
| 614 | .long 3218248710 |
| 615 | .long 2684354560 |
| 616 | .long 1014354573 |
| 617 | .long 0 |
| 618 | .long 3220176896 |
| 619 | .long 2255197647 |
| 620 | .long 1068727457 |
| 621 | .long 2796464483 |
| 622 | .long 3218636258 |
| 623 | .long 3758096384 |
| 624 | .long 1013394669 |
| 625 | .long 0 |
| 626 | .long 3220176896 |
| 627 | .long 1945768569 |
| 628 | .long 1069431400 |
| 629 | .long 939980347 |
| 630 | .long 3219008349 |
| 631 | .long 536870912 |
| 632 | .long 3160280457 |
| 633 | .long 0 |
| 634 | .long 3220176896 |
| 635 | .long 1539668340 |
| 636 | .long 1069912679 |
| 637 | .long 967731400 |
| 638 | .long 3219244859 |
| 639 | .long 536870912 |
| 640 | .long 3163235805 |
| 641 | .long 0 |
| 642 | .long 3220176896 |
| 643 | .long 1403757309 |
| 644 | .long 1070403070 |
| 645 | .long 621354454 |
| 646 | .long 3219410163 |
| 647 | .long 536870912 |
| 648 | .long 3160934250 |
| 649 | .long 0 |
| 650 | .long 3220176896 |
| 651 | .long 2583490354 |
| 652 | .long 3217719929 |
| 653 | .long 1719614413 |
| 654 | .long 3219562654 |
| 655 | .long 536870912 |
| 656 | .long 1015799092 |
| 657 | .long 0 |
| 658 | .long 3219128320 |
| 659 | .long 2485417816 |
| 660 | .long 3217109964 |
| 661 | .long 1796544321 |
| 662 | .long 3219700864 |
| 663 | .long 536870912 |
| 664 | .long 1015203297 |
| 665 | .long 0 |
| 666 | .long 3219128320 |
| 667 | .long 2598800519 |
| 668 | .long 3215750067 |
| 669 | .long 688824739 |
| 670 | .long 3219823462 |
| 671 | .long 3758096384 |
| 672 | .long 3157915184 |
| 673 | .long 0 |
| 674 | .long 3219128320 |
| 675 | .long 2140183630 |
| 676 | .long 1067272748 |
| 677 | .long 4051746225 |
| 678 | .long 3219929266 |
| 679 | .long 2147483648 |
| 680 | .long 1014423729 |
| 681 | .long 0 |
| 682 | .long 3219128320 |
| 683 | .long 1699043957 |
| 684 | .long 1069418613 |
| 685 | .long 3476196678 |
| 686 | .long 3220017259 |
| 687 | .long 536870912 |
| 688 | .long 3161741286 |
| 689 | .long 0 |
| 690 | .long 3219128320 |
| 691 | .long 1991047213 |
| 692 | .long 3215237169 |
| 693 | .long 1455828442 |
| 694 | .long 3220086593 |
| 695 | .long 3758096384 |
| 696 | .long 3162988721 |
| 697 | .long 0 |
| 698 | .long 3218079744 |
| 699 | .long 240740309 |
| 700 | .long 1068244255 |
| 701 | .long 3489094832 |
| 702 | .long 3220136599 |
| 703 | .long 536870912 |
| 704 | .long 3161809431 |
| 705 | .long 0 |
| 706 | .long 3218079744 |
| 707 | .long 257503056 |
| 708 | .long 1067164005 |
| 709 | .long 2748392742 |
| 710 | .long 3220166797 |
| 711 | .long 1073741824 |
| 712 | .long 1015578102 |
| 713 | .long 0 |
| 714 | .long 3217031168 |
| 715 | .long 0 |
| 716 | .long 0 |
| 717 | .long 0 |
| 718 | .long 3220176896 |
| 719 | .long 0 |
| 720 | .long 0 |
| 721 | .long 0 |
| 722 | .long 0 |
| 723 | .long 257503056 |
| 724 | .long 3214647653 |
| 725 | .long 2748392742 |
| 726 | .long 3220166797 |
| 727 | .long 1073741824 |
| 728 | .long 1015578102 |
| 729 | .long 0 |
| 730 | .long 1069547520 |
| 731 | .long 240740309 |
| 732 | .long 3215727903 |
| 733 | .long 3489094832 |
| 734 | .long 3220136599 |
| 735 | .long 536870912 |
| 736 | .long 3161809431 |
| 737 | .long 0 |
| 738 | .long 1070596096 |
| 739 | .long 1991047213 |
| 740 | .long 1067753521 |
| 741 | .long 1455828442 |
| 742 | .long 3220086593 |
| 743 | .long 3758096384 |
| 744 | .long 3162988721 |
| 745 | .long 0 |
| 746 | .long 1070596096 |
| 747 | .long 1699043957 |
| 748 | .long 3216902261 |
| 749 | .long 3476196678 |
| 750 | .long 3220017259 |
| 751 | .long 536870912 |
| 752 | .long 3161741286 |
| 753 | .long 0 |
| 754 | .long 1071644672 |
| 755 | .long 2140183630 |
| 756 | .long 3214756396 |
| 757 | .long 4051746225 |
| 758 | .long 3219929266 |
| 759 | .long 2147483648 |
| 760 | .long 1014423729 |
| 761 | .long 0 |
| 762 | .long 1071644672 |
| 763 | .long 2598800519 |
| 764 | .long 1068266419 |
| 765 | .long 688824739 |
| 766 | .long 3219823462 |
| 767 | .long 3758096384 |
| 768 | .long 3157915184 |
| 769 | .long 0 |
| 770 | .long 1071644672 |
| 771 | .long 2485417816 |
| 772 | .long 1069626316 |
| 773 | .long 1796544321 |
| 774 | .long 3219700864 |
| 775 | .long 536870912 |
| 776 | .long 1015203297 |
| 777 | .long 0 |
| 778 | .long 1071644672 |
| 779 | .long 2583490354 |
| 780 | .long 1070236281 |
| 781 | .long 1719614413 |
| 782 | .long 3219562654 |
| 783 | .long 536870912 |
| 784 | .long 1015799092 |
| 785 | .long 0 |
| 786 | .long 1071644672 |
| 787 | .long 1403757309 |
| 788 | .long 3217886718 |
| 789 | .long 621354454 |
| 790 | .long 3219410163 |
| 791 | .long 536870912 |
| 792 | .long 3160934250 |
| 793 | .long 0 |
| 794 | .long 1072693248 |
| 795 | .long 1539668340 |
| 796 | .long 3217396327 |
| 797 | .long 967731400 |
| 798 | .long 3219244859 |
| 799 | .long 536870912 |
| 800 | .long 3163235805 |
| 801 | .long 0 |
| 802 | .long 1072693248 |
| 803 | .long 1945768569 |
| 804 | .long 3216915048 |
| 805 | .long 939980347 |
| 806 | .long 3219008349 |
| 807 | .long 536870912 |
| 808 | .long 3160280457 |
| 809 | .long 0 |
| 810 | .long 1072693248 |
| 811 | .long 2255197647 |
| 812 | .long 3216211105 |
| 813 | .long 2796464483 |
| 814 | .long 3218636258 |
| 815 | .long 3758096384 |
| 816 | .long 1013394669 |
| 817 | .long 0 |
| 818 | .long 1072693248 |
| 819 | .long 2476548698 |
| 820 | .long 3215330282 |
| 821 | .long 785751814 |
| 822 | .long 3218248710 |
| 823 | .long 2684354560 |
| 824 | .long 1014354573 |
| 825 | .long 0 |
| 826 | .long 1072693248 |
| 827 | .long 18115067 |
| 828 | .long 3214126342 |
| 829 | .long 1013556747 |
| 830 | .long 3217619128 |
| 831 | .long 3221225472 |
| 832 | .long 1013083417 |
| 833 | .long 0 |
| 834 | .long 1072693248 |
| 835 | .long 393047345 |
| 836 | .long 3212032302 |
| 837 | .long 3156849708 |
| 838 | .long 3216578470 |
| 839 | .long 3758096384 |
| 840 | .long 1010706200 |
| 841 | .long 0 |
| 842 | .long 1072693248 |
| 843 | .long 1431655765 |
| 844 | .long 3217380693 |
| 845 | .long 0 |
| 846 | .long 3219128320 |
| 847 | .long 286331153 |
| 848 | .long 1065423121 |
| 849 | .long 1431655765 |
| 850 | .long 1067799893 |
| 851 | .long 436314138 |
| 852 | .long 3207201184 |
| 853 | .long 381774871 |
| 854 | .long 3210133868 |
| 855 | .long 2773927732 |
| 856 | .long 1053236707 |
| 857 | .long 436314138 |
| 858 | .long 1056571808 |
| 859 | .long 442499072 |
| 860 | .long 1032893537 |
| 861 | .long 442499072 |
| 862 | .long 1032893537 |
| 863 | .long 1413480448 |
| 864 | .long 1069097467 |
| 865 | .long 0 |
| 866 | .long 0 |
| 867 | .long 771977331 |
| 868 | .long 996350346 |
| 869 | .long 0 |
| 870 | .long 0 |
| 871 | .long 1841940611 |
| 872 | .long 1076125488 |
| 873 | .long 0 |
| 874 | .long 0 |
| 875 | .long 0 |
| 876 | .long 1127743488 |
| 877 | .long 0 |
| 878 | .long 0 |
| 879 | .long 0 |
| 880 | .long 1130364928 |
| 881 | .long 0 |
| 882 | .long 0 |
| 883 | .long 0 |
| 884 | .long 1015021568 |
| 885 | .long 0 |
| 886 | .long 0 |
| 887 | .long 4294967295 |
| 888 | .long 1072693247 |
| 889 | .long 0 |
| 890 | .long 0 |
| 891 | .long 0 |
| 892 | .long 2147483648 |
| 893 | .long 0 |
| 894 | .long 0 |
| 895 | .long 0 |
| 896 | .long 2147483648 |
| 897 | .long 0 |
| 898 | .long 2147483648 |
| 899 | .long 0 |
| 900 | .long 1071644672 |
| 901 | .long 0 |
| 902 | .long 1071644672 |
| 903 | .type static_const_table,@object |
| 904 | .size static_const_table,2288 |
| 905 | .data |
| 906 | .hidden __libm_sincos_huge |
| 907 | .section .note.GNU-stack, "" |
| 908 | # End |