diff options
Diffstat (limited to 'usr/src/lib/libm/common/Q/__sincosl.c')
| -rw-r--r-- | usr/src/lib/libm/common/Q/__sincosl.c | 145 |
1 files changed, 145 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/Q/__sincosl.c b/usr/src/lib/libm/common/Q/__sincosl.c new file mode 100644 index 0000000000..f1c72af2db --- /dev/null +++ b/usr/src/lib/libm/common/Q/__sincosl.c @@ -0,0 +1,145 @@ +/* + * CDDL HEADER START + * + * The contents of this file are subject to the terms of the + * Common Development and Distribution License (the "License"). + * You may not use this file except in compliance with the License. + * + * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE + * or http://www.opensolaris.org/os/licensing. + * See the License for the specific language governing permissions + * and limitations under the License. + * + * When distributing Covered Code, include this CDDL HEADER in each + * file and include the License file at usr/src/OPENSOLARIS.LICENSE. + * If applicable, add the following below this CDDL HEADER, with the + * fields enclosed by brackets "[]" replaced with your own identifying + * information: Portions Copyright [yyyy] [name of copyright owner] + * + * CDDL HEADER END + */ + +/* + * Copyright 2011 Nexenta Systems, Inc. All rights reserved. + */ +/* + * Copyright 2006 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + */ + +/* + * long double __k_sincos(long double x, long double y, long double *c); + * kernel sincosl function on [-pi/4, pi/4], pi/4 ~ 0.785398164 + * Input x is assumed to be bounded by ~pi/4 in magnitude. + * Input y is the tail of x. + * return sinl(x) with *c = cosl(x) + * + * Table look up algorithm + * see __k_sinl and __k_cosl + */ + +#include "libm.h" + +extern const long double _TBL_sinl_hi[], _TBL_sinl_lo[], + _TBL_cosl_hi[], _TBL_cosl_lo[]; +static const long double + one = 1.0L, +/* + * 3 11 -122.32 + * |sin(x) - (x+pp1*x +...+ pp5*x )| <= 2 for |x|<1/64 + */ + pp1 = -1.666666666666666666666666666586782940810e-0001L, + pp2 = +8.333333333333333333333003723660929317540e-0003L, + pp3 = -1.984126984126984076045903483778337804470e-0004L, + pp4 = +2.755731922361906641319723106210900949413e-0006L, + pp5 = -2.505198398570947019093998469135012057673e-0008L, +/* + * |(sin(x) - (x+p1*x^3+...+p8*x^17)| + * |------------------------------- | <= 2^-116.17 for |x|<0.1953125 + * | x | + */ + p1 = -1.666666666666666666666666666666211262297e-0001L, + p2 = +8.333333333333333333333333301497876908541e-0003L, + p3 = -1.984126984126984126984041302881180621922e-0004L, + p4 = +2.755731922398589064100587351307269621093e-0006L, + p5 = -2.505210838544163129378906953765595393873e-0008L, + p6 = +1.605904383643244375050998243778534074273e-0010L, + p7 = -7.647162722800685516901456114270824622699e-0013L, + p8 = +2.810046428661902961725428841068844462603e-0015L, +/* + * 2 10 -123.84 + * |cos(x) - (1+qq1*x +...+ qq5*x )| <= 2 for |x|<=1/128 + */ + qq1 = -4.999999999999999999999999999999378373641e-0001L, + qq2 = +4.166666666666666666666665478399327703130e-0002L, + qq3 = -1.388888888888888888058211230618051613494e-0003L, + qq4 = +2.480158730156105377771585658905303111866e-0005L, + qq5 = -2.755728099762526325736488376695157008736e-0007L, +/* + * 2 16 -117.11 + * |cos(x) - (1+q1*x + ... + q8*x )| <= 2 for |x|<= 0.15625 + */ + q1 = -4.999999999999999999999999999999756416975e-0001L, + q2 = +4.166666666666666666666666664006066577258e-0002L, + q3 = -1.388888888888888888888877700363937169637e-0003L, + q4 = +2.480158730158730158494468463031814083559e-0005L, + q5 = -2.755731922398586276322819250356005542871e-0007L, + q6 = +2.087675698767424261441959760729854017855e-0009L, + q7 = -1.147074481239662089072452129010790774761e-0011L, + q8 = +4.777761647399651599730663422263531034782e-0014L; + +#define i0 0 + +long double +__k_sincosl(long double x, long double y, long double *c) { + long double a1, a2, t, t1, t2, z, w; + int *pt = (int *) &t, *px = (int *) &x; + int i, j, hx, ix; + + t = 1.0L; + hx = px[i0]; + ix = hx & 0x7fffffff; + if (ix < 0x3ffc4000) { + if (ix < 0x3fc60000) + if (((int) x) == 0) { + *c = one; + return (x); + } /* generate inexact */ + z = x * x; + + if (ix < 0x3ff80000) { + *c = one + z * (qq1 + z * (qq2 + z * (qq3 + + z * (qq4 + z * qq5)))); + t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + + z * (p5 + z * p6))))); + } else { + *c = one + z * (q1 + z * (q2 + z * (q3 + z * (q4 + + z * (q5 + z * (q6 + z * (q7 + z * q8))))))); + t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 + + z * (p6 + z * (p7 + z * p8))))))); + } + + t = y + x * t; + return (x + t); + } + j = (ix + 0x400) & 0x7ffff800; + i = (j - 0x3ffc4000) >> 11; + pt[i0] = j; + if (hx > 0) + x = y - (t - x); + else + x = (-y) - (t + x); + a1 = _TBL_sinl_hi[i]; + z = x * x; + t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5)))); + w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z * pp5))))); + a2 = _TBL_cosl_hi[i]; + t2 = _TBL_cosl_lo[i] - (a1 * w - a2 * t); + *c = a2 + t2; + t1 = a2 * w + a1 * t; + t1 += _TBL_sinl_lo[i]; + if (hx < 0) + return (-a1 - t1); + else + return (a1 + t1); +} |