Lines Matching full:1
9 1. Redistributions of source code must retain the above copyright
34 #define N (1 << LOG_TABLE_BITS)
37 .ln2hi = 0x1.62e42fefa3800p-1,
42 // in -0x1p-5 0x1.1p-5 (|log(1+x)| > 0x1p-5 outside this interval)
43 -0x1p-1,
54 // in -0x1p-5 0x1.1p-5 (|log(1+x)| > 0x1p-5 outside this interval)
55 -0x1p-1,
67 // in -0x1p-4 0x1.09p-4 (|log(1+x)| > 0x1p-4 outside the interval)
68 -0x1p-1,
86 -0x1.0000000000027p-1,
96 -0x1.0000000000001p-1,
105 -0x1.0000000000001p-1,
117 log(z/c) = poly(z/c - 1)
119 where z is in [1.6p-1; 1.6p0] which is split into N subintervals and z falls
122 tab[i].invc = 1/c
128 floating point invc candidates around 1/center and selecting one for which
130 1) the rounding error in 0x1.8p9 + logc is 0,
134 Note: 1) ensures that k*ln2hi + logc can be computed without rounding error,
135 2) ensures that z/c - 1 can be computed as (z - chi - clo)*invc with close to
136 a single rounding error when there is no fast fma for z*invc - 1, 3) ensures
137 that logc + poly(z/c - 1) has small error, however near x == 1 when
164 {0x1.25e2268085f69p+0, -0x1.1aa2b431e5000p-3},
167 {0x1.1e2ef308b4e9bp+0, -0x1.c885768862000p-4},
168 {0x1.1bb4a36b70a3fp+0, -0x1.a4e75b6a46000p-4},
181 {0x1.fc07ef6b6e30bp-1, 0x1.fe03018e80000p-8},
182 {0x1.f4465aa1024afp-1, 0x1.7b91986450000p-6},
183 {0x1.ecc07a8fd3f5ep-1, 0x1.39e88608c8000p-5},
184 {0x1.e573ad856b537p-1, 0x1.b42dc6e624000p-5},
185 {0x1.de5d6dc7b8057p-1, 0x1.165372ec20000p-4},
186 {0x1.d77b6498bddf7p-1, 0x1.51b07a0170000p-4},
187 {0x1.d0cb580315c0fp-1, 0x1.8c3465c7ea000p-4},
188 {0x1.ca4b30d1cf449p-1, 0x1.c5e544a290000p-4},
189 {0x1.c3f8ef4810d8ep-1, 0x1.fec91aa0a6000p-4},
190 {0x1.bdd2b8b311f44p-1, 0x1.1b72acdc5c000p-3},
191 {0x1.b7d6c2eeac054p-1, 0x1.371fc65a98000p-3},
192 {0x1.b20363474c8f5p-1, 0x1.526e61c1aa000p-3},
193 {0x1.ac570165eeab1p-1, 0x1.6d60ffc240000p-3},
194 {0x1.a6d019f331df4p-1, 0x1.87fa08a013000p-3},
195 {0x1.a16d3ebc9e3c3p-1, 0x1.a23bc630c3000p-3},
196 {0x1.9c2d14567ef45p-1, 0x1.bc286a3512000p-3},
197 {0x1.970e4efae9169p-1, 0x1.d5c2195697000p-3},
198 {0x1.920fb3bd0b802p-1, 0x1.ef0ae132d3000p-3},
199 {0x1.8d3018b58699ap-1, 0x1.040259974e000p-2},
200 {0x1.886e5ff170ee6p-1, 0x1.1058bd40e2000p-2},
201 {0x1.83c977ad35d27p-1, 0x1.1c898c1137800p-2},
202 {0x1.7f405ed16c520p-1, 0x1.2895a3e65b000p-2},
203 {0x1.7ad220d0335c4p-1, 0x1.347dd8f6bd000p-2},
204 {0x1.767dce53474fdp-1, 0x1.4043083cb3800p-2},
223 {0x1.52aff42064583p+0, -0x1.1e9e129279000p-2},
252 {0x1.268b39b1d3bbfp+0, -0x1.1f3b9f879a000p-3},
258 {0x1.1ecf4494d480bp+0, -0x1.d17983ef94000p-4},
259 {0x1.1d8f5528f6569p+0, -0x1.bf9674ed8a000p-4},
260 {0x1.1c52311577e7cp+0, -0x1.adc79202f6000p-4},
261 {0x1.1b17c74cb26e9p+0, -0x1.9c0c3e7288000p-4},
286 {0x1.fe01ff726fa1ap-1, 0x1.feff384900000p-9},
287 {0x1.fa11cc261ea74p-1, 0x1.7dc41353d0000p-7},
288 {0x1.f6310b081992ep-1, 0x1.3cea3c4c28000p-6},
289 {0x1.f25f63ceeadcdp-1, 0x1.b9fc114890000p-6},
290 {0x1.ee9c8039113e7p-1, 0x1.1b0d8ce110000p-5},
291 {0x1.eae8078cbb1abp-1, 0x1.58a5bd001c000p-5},
292 {0x1.e741aa29d0c9bp-1, 0x1.95c8340d88000p-5},
293 {0x1.e3a91830a99b5p-1, 0x1.d276aef578000p-5},
294 {0x1.e01e009609a56p-1, 0x1.07598e598c000p-4},
295 {0x1.dca01e577bb98p-1, 0x1.253f5e30d2000p-4},
296 {0x1.d92f20b7c9103p-1, 0x1.42edd8b380000p-4},
297 {0x1.d5cac66fb5ccep-1, 0x1.606598757c000p-4},
298 {0x1.d272caa5ede9dp-1, 0x1.7da76356a0000p-4},
299 {0x1.cf26e3e6b2ccdp-1, 0x1.9ab434e1c6000p-4},
300 {0x1.cbe6da2a77902p-1, 0x1.b78c7bb0d6000p-4},
301 {0x1.c8b266d37086dp-1, 0x1.d431332e72000p-4},
302 {0x1.c5894bd5d5804p-1, 0x1.f0a3171de6000p-4},
303 {0x1.c26b533bb9f8cp-1, 0x1.067152b914000p-3},
304 {0x1.bf583eeece73fp-1, 0x1.147858292b000p-3},
305 {0x1.bc4fd75db96c1p-1, 0x1.2266ecdca3000p-3},
306 {0x1.b951e0c864a28p-1, 0x1.303d7a6c55000p-3},
307 {0x1.b65e2c5ef3e2cp-1, 0x1.3dfc33c331000p-3},
308 {0x1.b374867c9888bp-1, 0x1.4ba366b7a8000p-3},
309 {0x1.b094b211d304ap-1, 0x1.5933928d1f000p-3},
310 {0x1.adbe885f2ef7ep-1, 0x1.66acd2418f000p-3},
311 {0x1.aaf1d31603da2p-1, 0x1.740f8ec669000p-3},
312 {0x1.a82e63fd358a7p-1, 0x1.815c0f51af000p-3},
313 {0x1.a5740ef09738bp-1, 0x1.8e92954f68000p-3},
314 {0x1.a2c2a90ab4b27p-1, 0x1.9bb3602f84000p-3},
315 {0x1.a01a01393f2d1p-1, 0x1.a8bed1c2c0000p-3},
316 {0x1.9d79f24db3c1bp-1, 0x1.b5b515c01d000p-3},
317 {0x1.9ae2505c7b190p-1, 0x1.c2967ccbcc000p-3},
318 {0x1.9852ef297ce2fp-1, 0x1.cf635d5486000p-3},
319 {0x1.95cbaeea44b75p-1, 0x1.dc1bd3446c000p-3},
320 {0x1.934c69de74838p-1, 0x1.e8c01b8cfe000p-3},
321 {0x1.90d4f2f6752e6p-1, 0x1.f5509c0179000p-3},
322 {0x1.8e6528effd79dp-1, 0x1.00e6c121fb800p-2},
323 {0x1.8bfce9fcc007cp-1, 0x1.071b80e93d000p-2},
324 {0x1.899c0dabec30ep-1, 0x1.0d46b9e867000p-2},
325 {0x1.87427aa2317fbp-1, 0x1.13687334bd000p-2},
326 {0x1.84f00acb39a08p-1, 0x1.1980d67234800p-2},
327 {0x1.82a49e8653e55p-1, 0x1.1f8ffe0cc8000p-2},
328 {0x1.8060195f40260p-1, 0x1.2595fd7636800p-2},
329 {0x1.7e22563e0a329p-1, 0x1.2b9300914a800p-2},
330 {0x1.7beb377dcb5adp-1, 0x1.3187210436000p-2},
331 {0x1.79baa679725c2p-1, 0x1.377266dec1800p-2},
332 {0x1.77907f2170657p-1, 0x1.3d54ffbaf3000p-2},
333 {0x1.756cadbd6130cp-1, 0x1.432eee32fe000p-2},
339 {0x1.61ffff94c4fecp-1, -0x1.9fe4fc998f325p-56},
340 {0x1.66000020377ddp-1, 0x1.e804c7a9519f2p-55},
341 {0x1.6a00004c41678p-1, 0x1.902c675d9ecfep-55},
342 {0x1.6dffff7384f87p-1, -0x1.2fd6b95e55043p-56},
343 {0x1.720000b37216ep-1, 0x1.802bc8d437043p-55},
344 {0x1.75ffffbeb3c9dp-1, 0x1.6047ad0a0d4e4p-57},
345 {0x1.7a0000628daep-1, -0x1.e00434b49313dp-56},
346 {0x1.7dffffd7abd1ap-1, -0x1.6015f8a083576p-56},
347 {0x1.81ffffdf40c54p-1, 0x1.7f54bf76a42c9p-57},
348 {0x1.860000f334e11p-1, 0x1.60054cb5344d7p-56},
349 {0x1.8a0001238aca7p-1, 0x1.c03c9bd132f55p-57},
350 {0x1.8dffffb81d212p-1, -0x1.001e519f2764fp-55},
351 {0x1.92000086adc7cp-1, 0x1.1fe40f88f49c6p-55},
352 {0x1.960000135d8eap-1, -0x1.f832268dc3095p-55},
353 {0x1.99ffff9435acp-1, 0x1.7031d8b835edcp-56},
354 {0x1.9e00003478565p-1, -0x1.0030b221ce3eep-58},
355 {0x1.a20000b592948p-1, 0x1.8fd2f1dbd4639p-55},
356 {0x1.a600000ad0bcfp-1, 0x1.901d6a974e6bep-55},
357 {0x1.a9ffff55953a5p-1, 0x1.a07556192db98p-57},
358 {0x1.adffff29ce03dp-1, -0x1.fff0717ec71c2p-56},
359 {0x1.b1ffff34f3ac8p-1, 0x1.8005573de89d1p-57},
360 {0x1.b60000894c55bp-1, -0x1.ff2fb51b044c7p-57},
361 {0x1.b9fffef45ec7dp-1, -0x1.9ff7c4e8730fp-56},
362 {0x1.be0000cda7b2ap-1, 0x1.57d058dbf3c1dp-55},
363 {0x1.c1ffff2c57917p-1, 0x1.7e66d7e48dbc9p-58},
364 {0x1.c60000ea5b82ap-1, -0x1.47f5e132ed4bep-55},
365 {0x1.ca0001121ae98p-1, -0x1.40958c8d5e00ap-58},
366 {0x1.ce0000f9241cbp-1, -0x1.7da063caa81c8p-59},
367 {0x1.d1fffe8be95a4p-1, -0x1.82e3a411afcd9p-59},
368 {0x1.d5ffff035932bp-1, -0x1.00f901b3fe87dp-58},
369 {0x1.d9fffe8b54ba7p-1, 0x1.ffef55d6e3a4p-55},
370 {0x1.de0000ad95d19p-1, 0x1.5feb2efd4c7c7p-55},
371 {0x1.e1fffe925ce47p-1, 0x1.c8085484eaf08p-55},
372 {0x1.e5fffe3ddf853p-1, -0x1.fd5ed02c5cadp-60},
373 {0x1.e9fffed0a0e5fp-1, -0x1.a80aaef411586p-55},
374 {0x1.ee00008f82eep-1, -0x1.b000aeaf97276p-55},
375 {0x1.f20000a22d2f4p-1, -0x1.8f8906e13eba3p-56},
376 {0x1.f5fffee35b57dp-1, 0x1.1fdd33b2d3714p-57},
377 {0x1.fa00014eec3a6p-1, -0x1.3ee0b7a18c1a5p-58},
378 {0x1.fdffff5daa89fp-1, -0x1.c1e24c8e3b503p-58},
385 {0x1.1a000093f0d78p+0, 0x1.1fecbf1e8c52p-54},
386 {0x1.1dffffb2b1457p+0, -0x1.3fc91365637d6p-55},
404 {0x1.61000014fb66bp-1, 0x1.e026c91425b3cp-56},
405 {0x1.63000034db495p-1, 0x1.dbfea48005d41p-55},
406 {0x1.650000d94d478p-1, 0x1.e7fa786d6a5b7p-55},
407 {0x1.67000074e6fadp-1, 0x1.1fcea6b54254cp-57},
408 {0x1.68ffffedf0faep-1, -0x1.c7e274c590efdp-56},
409 {0x1.6b0000763c5bcp-1, -0x1.ac16848dcda01p-55},
410 {0x1.6d0001e5cc1f6p-1, 0x1.33f1c9d499311p-55},
411 {0x1.6efffeb05f63ep-1, -0x1.e80041ae22d53p-56},
412 {0x1.710000e86978p-1, 0x1.bff6671097952p-56},
413 {0x1.72ffffc67e912p-1, 0x1.c00e226bd8724p-55},
414 {0x1.74fffdf81116ap-1, -0x1.e02916ef101d2p-57},
415 {0x1.770000f679c9p-1, -0x1.7fc71cd549c74p-57},
416 {0x1.78ffffa7ec835p-1, 0x1.1bec19ef50483p-55},
417 {0x1.7affffe20c2e6p-1, -0x1.07e1729cc6465p-56},
418 {0x1.7cfffed3fc9p-1, -0x1.08072087b8b1cp-55},
419 {0x1.7efffe9261a76p-1, 0x1.dc0286d9df9aep-55},
420 {0x1.81000049ca3e8p-1, 0x1.97fd251e54c33p-55},
421 {0x1.8300017932c8fp-1, -0x1.afee9b630f381p-55},
422 {0x1.850000633739cp-1, 0x1.9bfbf6b6535bcp-55},
423 {0x1.87000204289c6p-1, -0x1.bbf65f3117b75p-55},
424 {0x1.88fffebf57904p-1, -0x1.9006ea23dcb57p-55},
425 {0x1.8b00022bc04dfp-1, -0x1.d00df38e04b0ap-56},
426 {0x1.8cfffe50c1b8ap-1, -0x1.8007146ff9f05p-55},
427 {0x1.8effffc918e43p-1, 0x1.3817bd07a7038p-55},
428 {0x1.910001efa5fc7p-1, 0x1.93e9176dfb403p-55},
429 {0x1.9300013467bb9p-1, 0x1.f804e4b980276p-56},
430 {0x1.94fffe6ee076fp-1, -0x1.f7ef0d9ff622ep-55},
431 {0x1.96fffde3c12d1p-1, -0x1.082aa962638bap-56},
432 {0x1.98ffff4458a0dp-1, -0x1.7801b9164a8efp-55},
433 {0x1.9afffdd982e3ep-1, -0x1.740e08a5a9337p-55},
434 {0x1.9cfffed49fb66p-1, 0x1.fce08c19bep-60},
435 {0x1.9f00020f19c51p-1, -0x1.a3faa27885b0ap-55},
436 {0x1.a10001145b006p-1, 0x1.4ff489958da56p-56},
437 {0x1.a300007bbf6fap-1, 0x1.cbeab8a2b6d18p-55},
438 {0x1.a500010971d79p-1, 0x1.8fecadd78793p-55},
439 {0x1.a70001df52e48p-1, -0x1.f41763dd8abdbp-55},
440 {0x1.a90001c593352p-1, -0x1.ebf0284c27612p-55},
441 {0x1.ab0002a4f3e4bp-1, -0x1.9fd043cff3f5fp-57},
442 {0x1.acfffd7ae1ed1p-1, -0x1.23ee7129070b4p-55},
443 {0x1.aefffee510478p-1, 0x1.a063ee00edea3p-57},
444 {0x1.b0fffdb650d5bp-1, 0x1.a06c8381f0ab9p-58},
445 {0x1.b2ffffeaaca57p-1, -0x1.9011e74233c1dp-56},
446 {0x1.b4fffd995badcp-1, -0x1.9ff1068862a9fp-56},
447 {0x1.b7000249e659cp-1, 0x1.aff45d0864f3ep-55},
448 {0x1.b8ffff987164p-1, 0x1.cfe7796c2c3f9p-56},
449 {0x1.bafffd204cb4fp-1, -0x1.3ff27eef22bc4p-57},
450 {0x1.bcfffd2415c45p-1, -0x1.cffb7ee3bea21p-57},
451 {0x1.beffff86309dfp-1, -0x1.14103972e0b5cp-55},
452 {0x1.c0fffe1b57653p-1, 0x1.bc16494b76a19p-55},
453 {0x1.c2ffff1fa57e3p-1, -0x1.4feef8d30c6edp-57},
454 {0x1.c4fffdcbfe424p-1, -0x1.43f68bcec4775p-55},
455 {0x1.c6fffed54b9f7p-1, 0x1.47ea3f053e0ecp-55},
456 {0x1.c8fffeb998fd5p-1, 0x1.383068df992f1p-56},
457 {0x1.cb0002125219ap-1, -0x1.8fd8e64180e04p-57},
458 {0x1.ccfffdd94469cp-1, 0x1.e7ebe1cc7ea72p-55},
459 {0x1.cefffeafdc476p-1, 0x1.ebe39ad9f88fep-55},
460 {0x1.d1000169af82bp-1, 0x1.57d91a8b95a71p-56},
461 {0x1.d30000d0ff71dp-1, 0x1.9c1906970c7dap-55},
462 {0x1.d4fffea790fc4p-1, -0x1.80e37c558fe0cp-58},
463 {0x1.d70002edc87e5p-1, -0x1.f80d64dc10f44p-56},
464 {0x1.d900021dc82aap-1, -0x1.47c8f94fd5c5cp-56},
465 {0x1.dafffd86b0283p-1, 0x1.c7f1dc521617ep-55},
466 {0x1.dd000296c4739p-1, 0x1.8019eb2ffb153p-55},
467 {0x1.defffe54490f5p-1, 0x1.e00d2c652cc89p-57},
468 {0x1.e0fffcdabf694p-1, -0x1.f8340202d69d2p-56},
469 {0x1.e2fffdb52c8ddp-1, 0x1.b00c1ca1b0864p-56},
470 {0x1.e4ffff24216efp-1, 0x1.2ffa8b094ab51p-56},
471 {0x1.e6fffe88a5e11p-1, -0x1.7f673b1efbe59p-58},
472 {0x1.e9000119eff0dp-1, -0x1.4808d5e0bc801p-55},
473 {0x1.eafffdfa51744p-1, 0x1.80006d54320b5p-56},
474 {0x1.ed0001a127fa1p-1, -0x1.002f860565c92p-58},
475 {0x1.ef00007babcc4p-1, -0x1.540445d35e611p-55},
476 {0x1.f0ffff57a8d02p-1, -0x1.ffb3139ef9105p-59},
477 {0x1.f30001ee58ac7p-1, 0x1.a81acf2731155p-55},
478 {0x1.f4ffff5823494p-1, 0x1.a3f41d4d7c743p-55},
479 {0x1.f6ffffca94c6bp-1, -0x1.202f41c987875p-57},
480 {0x1.f8fffe1f9c441p-1, 0x1.77dd1f477e74bp-56},
481 {0x1.fafffd2e0e37ep-1, -0x1.f01199a7ca331p-57},
482 {0x1.fd0001c77e49ep-1, 0x1.181ee4bceacb1p-56},
483 {0x1.feffff7e0c331p-1, -0x1.e05370170875ap-57},
497 {0x1.1b000123d3c59p+0, 0x1.97f7980030188p-54},
498 {0x1.1cffff8299eb7p+0, -0x1.5f932ab9f8c67p-57},
499 {0x1.1effff48ad4p+0, 0x1.37fbf9da75bebp-54},
509 {0x1.32ffffeac5f7fp+0, -0x1.1ff5d3fb7b715p-54},