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Diffstat (limited to 'sysdeps/ieee754/dbl-64/e_hypot.c')
| -rw-r--r-- | sysdeps/ieee754/dbl-64/e_hypot.c | 161 |
1 files changed, 0 insertions, 161 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_hypot.c b/sysdeps/ieee754/dbl-64/e_hypot.c deleted file mode 100644 index 76eb408348..0000000000 --- a/sysdeps/ieee754/dbl-64/e_hypot.c +++ /dev/null @@ -1,161 +0,0 @@ -/* @(#)e_hypot.c 5.1 93/09/24 */ -/* - * ==================================================== - * 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_hypot(x,y) - * - * Method : - * If (assume round-to-nearest) z=x*x+y*y - * has error less than sqrt(2)/2 ulp, than - * sqrt(z) has error less than 1 ulp (exercise). - * - * So, compute sqrt(x*x+y*y) with some care as - * follows to get the error below 1 ulp: - * - * Assume x>y>0; - * (if possible, set rounding to round-to-nearest) - * 1. if x > 2y use - * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y - * where x1 = x with lower 32 bits cleared, x2 = x-x1; else - * 2. if x <= 2y use - * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) - * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, - * y1= y with lower 32 bits chopped, y2 = y-y1. - * - * NOTE: scaling may be necessary if some argument is too - * large or too tiny - * - * Special cases: - * hypot(x,y) is INF if x or y is +INF or -INF; else - * hypot(x,y) is NAN if x or y is NAN. - * - * Accuracy: - * hypot(x,y) returns sqrt(x^2+y^2) with error less - * than 1 ulps (units in the last place) - */ - -#include <math.h> -#include <math_private.h> - -double -__ieee754_hypot (double x, double y) -{ - double a, b, t1, t2, y1, y2, w; - int32_t j, k, ha, hb; - - GET_HIGH_WORD (ha, x); - ha &= 0x7fffffff; - GET_HIGH_WORD (hb, y); - hb &= 0x7fffffff; - if (hb > ha) - { - a = y; b = x; j = ha; ha = hb; hb = j; - } - else - { - a = x; b = y; - } - SET_HIGH_WORD (a, ha); /* a <- |a| */ - SET_HIGH_WORD (b, hb); /* b <- |b| */ - if ((ha - hb) > 0x3c00000) - { - return a + b; - } /* x/y > 2**60 */ - k = 0; - if (__glibc_unlikely (ha > 0x5f300000)) /* a>2**500 */ - { - if (ha >= 0x7ff00000) /* Inf or NaN */ - { - u_int32_t low; - w = a + b; /* for sNaN */ - if (issignaling (a) || issignaling (b)) - return w; - GET_LOW_WORD (low, a); - if (((ha & 0xfffff) | low) == 0) - w = a; - GET_LOW_WORD (low, b); - if (((hb ^ 0x7ff00000) | low) == 0) - w = b; - return w; - } - /* scale a and b by 2**-600 */ - ha -= 0x25800000; hb -= 0x25800000; k += 600; - SET_HIGH_WORD (a, ha); - SET_HIGH_WORD (b, hb); - } - if (__builtin_expect (hb < 0x23d00000, 0)) /* b < 2**-450 */ - { - if (hb <= 0x000fffff) /* subnormal b or 0 */ - { - u_int32_t low; - GET_LOW_WORD (low, b); - if ((hb | low) == 0) - return a; - t1 = 0; - SET_HIGH_WORD (t1, 0x7fd00000); /* t1=2^1022 */ - b *= t1; - a *= t1; - k -= 1022; - GET_HIGH_WORD (ha, a); - GET_HIGH_WORD (hb, b); - if (hb > ha) - { - t1 = a; - a = b; - b = t1; - j = ha; - ha = hb; - hb = j; - } - } - else /* scale a and b by 2^600 */ - { - ha += 0x25800000; /* a *= 2^600 */ - hb += 0x25800000; /* b *= 2^600 */ - k -= 600; - SET_HIGH_WORD (a, ha); - SET_HIGH_WORD (b, hb); - } - } - /* medium size a and b */ - w = a - b; - if (w > b) - { - t1 = 0; - SET_HIGH_WORD (t1, ha); - t2 = a - t1; - w = __ieee754_sqrt (t1 * t1 - (b * (-b) - t2 * (a + t1))); - } - else - { - a = a + a; - y1 = 0; - SET_HIGH_WORD (y1, hb); - y2 = b - y1; - t1 = 0; - SET_HIGH_WORD (t1, ha + 0x00100000); - t2 = a - t1; - w = __ieee754_sqrt (t1 * y1 - (w * (-w) - (t1 * y2 + t2 * b))); - } - if (k != 0) - { - u_int32_t high; - t1 = 1.0; - GET_HIGH_WORD (high, t1); - SET_HIGH_WORD (t1, high + (k << 20)); - w *= t1; - math_check_force_underflow_nonneg (w); - return w; - } - else - return w; -} -strong_alias (__ieee754_hypot, __hypot_finite) |