16c640833Skettenis /*-
26c640833Skettenis * ====================================================
36c640833Skettenis * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
46c640833Skettenis * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
56c640833Skettenis *
66c640833Skettenis * Developed at SunSoft, a Sun Microsystems, Inc. business.
76c640833Skettenis * Permission to use, copy, modify, and distribute this
86c640833Skettenis * software is freely granted, provided that this notice
96c640833Skettenis * is preserved.
106c640833Skettenis * ====================================================
116c640833Skettenis *
126c640833Skettenis * k_sinl.c and k_cosl.c merged by Steven G. Kargl
136c640833Skettenis */
146c640833Skettenis
156c640833Skettenis #if defined(__amd64__) || defined(__i386__)
166c640833Skettenis /* Long double constants are slow on these arches, and broken on i386. */
176c640833Skettenis static const volatile double
186c640833Skettenis C1hi = 0.041666666666666664, /* 0x15555555555555.0p-57 */
196c640833Skettenis C1lo = 2.2598839032744733e-18, /* 0x14d80000000000.0p-111 */
206c640833Skettenis S1hi = -0.16666666666666666, /* -0x15555555555555.0p-55 */
216c640833Skettenis S1lo = -9.2563760475949941e-18; /* -0x15580000000000.0p-109 */
226c640833Skettenis #define S1 ((long double)S1hi + S1lo)
236c640833Skettenis #define C1 ((long double)C1hi + C1lo)
246c640833Skettenis #else
256c640833Skettenis static const long double
26*e40f4351Stb C1 = 0.0416666666666666666136L, /* 0xaaaaaaaaaaaaaa9b.0p-68 */
27*e40f4351Stb S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */
286c640833Skettenis #endif
296c640833Skettenis
306c640833Skettenis static const double
316c640833Skettenis C2 = -0.0013888888888888874, /* -0x16c16c16c16c10.0p-62 */
326c640833Skettenis C3 = 0.000024801587301571716, /* 0x1a01a01a018e22.0p-68 */
336c640833Skettenis C4 = -0.00000027557319215507120, /* -0x127e4fb7602f22.0p-74 */
346c640833Skettenis C5 = 0.0000000020876754400407278, /* 0x11eed8caaeccf1.0p-81 */
356c640833Skettenis C6 = -1.1470297442401303e-11, /* -0x19393412bd1529.0p-89 */
366c640833Skettenis C7 = 4.7383039476436467e-14, /* 0x1aac9d9af5c43e.0p-97 */
376c640833Skettenis S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
386c640833Skettenis S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
396c640833Skettenis S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
406c640833Skettenis S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
416c640833Skettenis S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
426c640833Skettenis S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
436c640833Skettenis S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
446c640833Skettenis
456c640833Skettenis static inline void
__kernel_sincosl(long double x,long double y,int iy,long double * sn,long double * cs)466c640833Skettenis __kernel_sincosl(long double x, long double y, int iy, long double *sn,
476c640833Skettenis long double *cs)
486c640833Skettenis {
496c640833Skettenis long double hz, r, v, w, z;
506c640833Skettenis
516c640833Skettenis z = x * x;
526c640833Skettenis v = z * x;
536c640833Skettenis /*
546c640833Skettenis * XXX Replace Horner scheme with an algorithm suitable for CPUs
556c640833Skettenis * with more complex pipelines.
566c640833Skettenis */
576c640833Skettenis r = S2 + z * (S3 + z * (S4 + z * (S5 + z * (S6 + z * (S7 + z * S8)))));
586c640833Skettenis
596c640833Skettenis if (iy == 0)
606c640833Skettenis *sn = x + v * (S1 + z * r);
616c640833Skettenis else
626c640833Skettenis *sn = x - ((z * (y / 2 - v * r) - y) - v * S1);
636c640833Skettenis
646c640833Skettenis hz = z / 2;
656c640833Skettenis w = 1 - hz;
666c640833Skettenis r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * (C6 +
676c640833Skettenis z * C7))))));
686c640833Skettenis *cs = w + (((1 - w) - hz) + (z * r - x * y));
696c640833Skettenis }
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