diff options
Diffstat (limited to 'sysdeps/ieee754/dbl-64/e_rem_pio2.c')
| -rw-r--r-- | sysdeps/ieee754/dbl-64/e_rem_pio2.c | 193 |
1 files changed, 0 insertions, 193 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_rem_pio2.c b/sysdeps/ieee754/dbl-64/e_rem_pio2.c deleted file mode 100644 index 2f55ca294b..0000000000 --- a/sysdeps/ieee754/dbl-64/e_rem_pio2.c +++ /dev/null @@ -1,193 +0,0 @@ -#ifdef NOT_NEEDED_ANYMORE - -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ - -/* __ieee754_rem_pio2(x,y) - * - * return the remainder of x rem pi/2 in y[0]+y[1] - * use __kernel_rem_pio2() - */ - -#include <math.h> -#include <math_private.h> - -/* - * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi - */ -static const int32_t two_over_pi[] = { -0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, -0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, -0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, -0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41, -0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8, -0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF, -0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, -0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, -0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, -0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, -0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B, -}; - -static const int32_t npio2_hw[] = { -0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, -0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, -0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, -0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, -0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, -0x404858EB, 0x404921FB, -}; - -/* - * invpio2: 53 bits of 2/pi - * pio2_1: first 33 bit of pi/2 - * pio2_1t: pi/2 - pio2_1 - * pio2_2: second 33 bit of pi/2 - * pio2_2t: pi/2 - (pio2_1+pio2_2) - * pio2_3: third 33 bit of pi/2 - * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) - */ - -static const double - zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */ - half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */ - two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */ - invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ - pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */ - pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */ - pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */ - pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */ - pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */ - pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */ - -int32_t -__ieee754_rem_pio2 (double x, double *y) -{ - double z, w, t, r, fn; - double tx[3]; - int32_t e0, i, j, nx, n, ix, hx; - u_int32_t low; - - GET_HIGH_WORD (hx, x); /* high word of x */ - ix = hx & 0x7fffffff; - if (ix <= 0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */ - { - y[0] = x; y[1] = 0; return 0; - } - if (ix < 0x4002d97c) /* |x| < 3pi/4, special case with n=+-1 */ - { - if (hx > 0) - { - z = x - pio2_1; - if (ix != 0x3ff921fb) /* 33+53 bit pi is good enough */ - { - y[0] = z - pio2_1t; - y[1] = (z - y[0]) - pio2_1t; - } - else /* near pi/2, use 33+33+53 bit pi */ - { - z -= pio2_2; - y[0] = z - pio2_2t; - y[1] = (z - y[0]) - pio2_2t; - } - return 1; - } - else /* negative x */ - { - z = x + pio2_1; - if (ix != 0x3ff921fb) /* 33+53 bit pi is good enough */ - { - y[0] = z + pio2_1t; - y[1] = (z - y[0]) + pio2_1t; - } - else /* near pi/2, use 33+33+53 bit pi */ - { - z += pio2_2; - y[0] = z + pio2_2t; - y[1] = (z - y[0]) + pio2_2t; - } - return -1; - } - } - if (ix <= 0x413921fb) /* |x| ~<= 2^19*(pi/2), medium size */ - { - t = fabs (x); - n = (int32_t) (t * invpio2 + half); - fn = (double) n; - r = t - fn * pio2_1; - w = fn * pio2_1t; /* 1st round good to 85 bit */ - if (n < 32 && ix != npio2_hw[n - 1]) - { - y[0] = r - w; /* quick check no cancellation */ - } - else - { - u_int32_t high; - j = ix >> 20; - y[0] = r - w; - GET_HIGH_WORD (high, y[0]); - i = j - ((high >> 20) & 0x7ff); - if (i > 16) /* 2nd iteration needed, good to 118 */ - { - t = r; - w = fn * pio2_2; - r = t - w; - w = fn * pio2_2t - ((t - r) - w); - y[0] = r - w; - GET_HIGH_WORD (high, y[0]); - i = j - ((high >> 20) & 0x7ff); - if (i > 49) /* 3rd iteration need, 151 bits acc */ - { - t = r; /* will cover all possible cases */ - w = fn * pio2_3; - r = t - w; - w = fn * pio2_3t - ((t - r) - w); - y[0] = r - w; - } - } - } - y[1] = (r - y[0]) - w; - if (hx < 0) - { - y[0] = -y[0]; y[1] = -y[1]; return -n; - } - else - return n; - } - /* - * all other (large) arguments - */ - if (ix >= 0x7ff00000) /* x is inf or NaN */ - { - y[0] = y[1] = x - x; return 0; - } - /* set z = scalbn(|x|,ilogb(x)-23) */ - GET_LOW_WORD (low, x); - SET_LOW_WORD (z, low); - e0 = (ix >> 20) - 1046; /* e0 = ilogb(z)-23; */ - SET_HIGH_WORD (z, ix - ((int32_t) (e0 << 20))); - for (i = 0; i < 2; i++) - { - tx[i] = (double) ((int32_t) (z)); - z = (z - tx[i]) * two24; - } - tx[2] = z; - nx = 3; - while (tx[nx - 1] == zero) - nx--; /* skip zero term */ - n = __kernel_rem_pio2 (tx, y, e0, nx, 2, two_over_pi); - if (hx < 0) - { - y[0] = -y[0]; y[1] = -y[1]; return -n; - } - return n; -} -#endif |