diff options
Diffstat (limited to 'usr/src/lib/libm/common/R/sincosf.c')
| -rw-r--r-- | usr/src/lib/libm/common/R/sincosf.c | 187 |
1 files changed, 187 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/R/sincosf.c b/usr/src/lib/libm/common/R/sincosf.c new file mode 100644 index 0000000000..73b8c731d4 --- /dev/null +++ b/usr/src/lib/libm/common/R/sincosf.c @@ -0,0 +1,187 @@ +/* + * 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 2005 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + */ + +#pragma weak sincosf = __sincosf + +/* INDENT OFF */ +/* + * For |x| < pi/4, let z = x * x, and approximate sin(x) by + * + * S(x) = x(S0 + S1*z)(S2 + S3*z + z*z) + * where + * S0 = 1.85735322054308378716204874632872525989806770558e-0003, + * S1 = -1.95035094218403635082921458859320791358115801259e-0004, + * S2 = 5.38400550766074785970952495168558701485841707252e+0002, + * S3 = -3.31975110777873728964197739157371509422022905947e+0001, + * + * with error bounded by |(sin(x) - S(x))/x| < 2**(-28.2), and + * cos(x) by + * + * C(x) = (C0 + C1*z + C2*z*z) * (C3 + C4*z + z*z) + * where + * C0 = 1.09349482127188401868272000389539985058873853699e-0003 + * C1 = -5.03324285989964979398034700054920226866107675091e-0004 + * C2 = 2.43792880266971107750418061559602239831538067410e-0005 + * C3 = 9.14499072605666582228127405245558035523741471271e+0002 + * C4 = -3.63151270591815439197122504991683846785293207730e+0001 + * + * with error bounded by |cos(x) - C(x)| < 2**(-34.2). + */ +/* INDENT ON */ + +#include "libm.h" + +extern const int _TBL_ipio2_inf[]; +extern int __rem_pio2m(double *, double *, int, int, int, const int *); +#if defined(__i386) && !defined(__amd64) +extern int __swapRP(int); +#endif + +static const double C[] = { + 1.85735322054308378716204874632872525989806770558e-0003, + -1.95035094218403635082921458859320791358115801259e-0004, + 5.38400550766074785970952495168558701485841707252e+0002, + -3.31975110777873728964197739157371509422022905947e+0001, + 1.09349482127188401868272000389539985058873853699e-0003, + -5.03324285989964979398034700054920226866107675091e-0004, + 2.43792880266971107750418061559602239831538067410e-0005, + 9.14499072605666582228127405245558035523741471271e+0002, + -3.63151270591815439197122504991683846785293207730e+0001, + 0.636619772367581343075535, /* 2^ -1 * 1.45F306DC9C883 */ + 0.5, + 1.570796326734125614166, /* 2^ 0 * 1.921FB54400000 */ + 6.077100506506192601475e-11, /* 2^-34 * 1.0B4611A626331 */ +}; + +#define S0 C[0] +#define S1 C[1] +#define S2 C[2] +#define S3 C[3] +#define C0 C[4] +#define C1 C[5] +#define C2 C[6] +#define C3 C[7] +#define C4 C[8] +#define invpio2 C[9] +#define half C[10] +#define pio2_1 C[11] +#define pio2_t C[12] + +void +sincosf(float x, float *s, float *c) +{ + double y, z, w; + float f, g; + int n, ix, hx, hy; + volatile int i; + + hx = *((int *)&x); + ix = hx & 0x7fffffff; + + y = (double)x; + + if (ix <= 0x4016cbe4) { /* |x| < 3*pi/4 */ + if (ix <= 0x3f490fdb) { /* |x| < pi/4 */ + if (ix <= 0x39800000) { /* |x| <= 2**-12 */ + i = (int)y; +#ifdef lint + i = i; +#endif + *s = x; + *c = 1.0f; + return; + } + z = y * y; + *s = (float)((y * (S0 + z * S1)) * + (S2 + z * (S3 + z))); + *c = (float)(((C0 + z * C1) + (z * z) * C2) * + (C3 + z * (C4 + z))); + } else if (hx > 0) { + y = (y - pio2_1) - pio2_t; + z = y * y; + *s = (float)(((C0 + z * C1) + (z * z) * C2) * + (C3 + z * (C4 + z))); + *c = (float)-((y * (S0 + z * S1)) * + (S2 + z * (S3 + z))); + } else { + y = (y + pio2_1) + pio2_t; + z = y * y; + *s = (float)-(((C0 + z * C1) + (z * z) * C2) * + (C3 + z * (C4 + z))); + *c = (float)((y * (S0 + z * S1)) * + (S2 + z * (S3 + z))); + } + return; + } else if (ix <= 0x49c90fdb) { /* |x| < 2^19*pi */ +#if defined(__i386) && !defined(__amd64) + int rp; + + rp = __swapRP(fp_extended); +#endif + w = y * invpio2; + if (hx < 0) + n = (int)(w - half); + else + n = (int)(w + half); + y = (y - n * pio2_1) - n * pio2_t; +#if defined(__i386) && !defined(__amd64) + if (rp != fp_extended) + (void) __swapRP(rp); +#endif + } else { + if (ix >= 0x7f800000) { + *s = *c = x / x; + return; + } + hy = ((int *)&y)[HIWORD]; + n = ((hy >> 20) & 0x7ff) - 1046; + ((int *)&w)[HIWORD] = (hy & 0xfffff) | 0x41600000; + ((int *)&w)[LOWORD] = ((int *)&y)[LOWORD]; + n = __rem_pio2m(&w, &y, n, 1, 0, _TBL_ipio2_inf); + if (hy < 0) { + y = -y; + n = -n; + } + } + + z = y * y; + f = (float)((y * (S0 + z * S1)) * (S2 + z * (S3 + z))); + g = (float)(((C0 + z * C1) + (z * z) * C2) * + (C3 + z * (C4 + z))); + if (n & 2) { + f = -f; + g = -g; + } + if (n & 1) { + *s = g; + *c = -f; + } else { + *s = f; + *c = g; + } +} |