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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_sqrtf.c */ |
| 2 /* |
| 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 4 */ |
| 5 /* |
| 6 * ==================================================== |
| 7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 8 * |
| 9 * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 10 * Permission to use, copy, modify, and distribute this |
| 11 * software is freely granted, provided that this notice |
| 12 * is preserved. |
| 13 * ==================================================== |
| 14 */ |
| 15 |
| 16 #include "libm.h" |
| 17 |
| 18 static const float tiny = 1.0e-30; |
| 19 |
| 20 float sqrtf(float x) |
| 21 { |
| 22 float z; |
| 23 int32_t sign = (int)0x80000000; |
| 24 int32_t ix,s,q,m,t,i; |
| 25 uint32_t r; |
| 26 |
| 27 GET_FLOAT_WORD(ix, x); |
| 28 |
| 29 /* take care of Inf and NaN */ |
| 30 if ((ix&0x7f800000) == 0x7f800000) |
| 31 return x*x + x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf, sqrt(-inf)=sN
aN */ |
| 32 |
| 33 /* take care of zero */ |
| 34 if (ix <= 0) { |
| 35 if ((ix&~sign) == 0) |
| 36 return x; /* sqrt(+-0) = +-0 */ |
| 37 if (ix < 0) |
| 38 return (x-x)/(x-x); /* sqrt(-ve) = sNaN */ |
| 39 } |
| 40 /* normalize x */ |
| 41 m = ix>>23; |
| 42 if (m == 0) { /* subnormal x */ |
| 43 for (i = 0; (ix&0x00800000) == 0; i++) |
| 44 ix<<=1; |
| 45 m -= i - 1; |
| 46 } |
| 47 m -= 127; /* unbias exponent */ |
| 48 ix = (ix&0x007fffff)|0x00800000; |
| 49 if (m&1) /* odd m, double x to make it even */ |
| 50 ix += ix; |
| 51 m >>= 1; /* m = [m/2] */ |
| 52 |
| 53 /* generate sqrt(x) bit by bit */ |
| 54 ix += ix; |
| 55 q = s = 0; /* q = sqrt(x) */ |
| 56 r = 0x01000000; /* r = moving bit from right to left */ |
| 57 |
| 58 while (r != 0) { |
| 59 t = s + r; |
| 60 if (t <= ix) { |
| 61 s = t+r; |
| 62 ix -= t; |
| 63 q += r; |
| 64 } |
| 65 ix += ix; |
| 66 r >>= 1; |
| 67 } |
| 68 |
| 69 /* use floating add to find out rounding direction */ |
| 70 if (ix != 0) { |
| 71 z = 1.0f - tiny; /* raise inexact flag */ |
| 72 if (z >= 1.0f) { |
| 73 z = 1.0f + tiny; |
| 74 if (z > 1.0f) |
| 75 q += 2; |
| 76 else |
| 77 q += q & 1; |
| 78 } |
| 79 } |
| 80 ix = (q>>1) + 0x3f000000; |
| 81 ix += m << 23; |
| 82 SET_FLOAT_WORD(z, ix); |
| 83 return z; |
| 84 } |
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