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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_tanf.c */ |
| 2 /* |
| 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 4 * Optimized by Bruce D. Evans. |
| 5 */ |
| 6 /* |
| 7 * ==================================================== |
| 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 9 * |
| 10 * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 11 * Permission to use, copy, modify, and distribute this |
| 12 * software is freely granted, provided that this notice |
| 13 * is preserved. |
| 14 * ==================================================== |
| 15 */ |
| 16 |
| 17 #include "libm.h" |
| 18 |
| 19 /* Small multiples of pi/2 rounded to double precision. */ |
| 20 static const double |
| 21 t1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ |
| 22 t2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ |
| 23 t3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ |
| 24 t4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ |
| 25 |
| 26 float tanf(float x) |
| 27 { |
| 28 double y; |
| 29 uint32_t ix; |
| 30 unsigned n, sign; |
| 31 |
| 32 GET_FLOAT_WORD(ix, x); |
| 33 sign = ix >> 31; |
| 34 ix &= 0x7fffffff; |
| 35 |
| 36 if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ |
| 37 if (ix < 0x39800000) { /* |x| < 2**-12 */ |
| 38 /* raise inexact if x!=0 and underflow if subnormal */ |
| 39 FORCE_EVAL(ix < 0x00800000 ? x/0x1p120f : x+0x1p120f); |
| 40 return x; |
| 41 } |
| 42 return __tandf(x, 0); |
| 43 } |
| 44 if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ |
| 45 if (ix <= 0x4016cbe3) /* |x| ~<= 3pi/4 */ |
| 46 return __tandf((sign ? x+t1pio2 : x-t1pio2), 1); |
| 47 else |
| 48 return __tandf((sign ? x+t2pio2 : x-t2pio2), 0); |
| 49 } |
| 50 if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ |
| 51 if (ix <= 0x40afeddf) /* |x| ~<= 7*pi/4 */ |
| 52 return __tandf((sign ? x+t3pio2 : x-t3pio2), 1); |
| 53 else |
| 54 return __tandf((sign ? x+t4pio2 : x-t4pio2), 0); |
| 55 } |
| 56 |
| 57 /* tan(Inf or NaN) is NaN */ |
| 58 if (ix >= 0x7f800000) |
| 59 return x - x; |
| 60 |
| 61 /* argument reduction */ |
| 62 n = __rem_pio2f(x, &y); |
| 63 return __tandf(y, n&1); |
| 64 } |
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