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Diffstat (limited to '')
-rw-r--r-- | libc-top-half/musl/src/complex/catanf.c | 105 |
1 files changed, 105 insertions, 0 deletions
diff --git a/libc-top-half/musl/src/complex/catanf.c b/libc-top-half/musl/src/complex/catanf.c new file mode 100644 index 0000000..1d569f2 --- /dev/null +++ b/libc-top-half/musl/src/complex/catanf.c @@ -0,0 +1,105 @@ +/* origin: OpenBSD /usr/src/lib/libm/src/s_catanf.c */ +/* + * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> + * + * Permission to use, copy, modify, and distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ +/* + * Complex circular arc tangent + * + * + * SYNOPSIS: + * + * float complex catanf(); + * float complex z, w; + * + * w = catanf( z ); + * + * + * DESCRIPTION: + * + * If + * z = x + iy, + * + * then + * 1 ( 2x ) + * Re w = - arctan(-----------) + k PI + * 2 ( 2 2) + * (1 - x - y ) + * + * ( 2 2) + * 1 (x + (y+1) ) + * Im w = - log(------------) + * 4 ( 2 2) + * (x + (y-1) ) + * + * Where k is an arbitrary integer. + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -10,+10 30000 2.3e-6 5.2e-8 + */ + +#include "complex_impl.h" + +#define MAXNUMF 1.0e38F + +static const double DP1 = 3.140625; +static const double DP2 = 9.67502593994140625E-4; +static const double DP3 = 1.509957990978376432E-7; + +static const float float_pi = M_PI; + +static float _redupif(float xx) +{ + float x, t; + long i; + + x = xx; + t = x/float_pi; + if (t >= 0.0f) + t += 0.5f; + else + t -= 0.5f; + + i = t; /* the multiple */ + t = i; + t = ((x - t * DP1) - t * DP2) - t * DP3; + return t; +} + +float complex catanf(float complex z) +{ + float complex w; + float a, t, x, x2, y; + + x = crealf(z); + y = cimagf(z); + + x2 = x * x; + a = 1.0f - x2 - (y * y); + + t = 0.5f * atan2f(2.0f * x, a); + w = _redupif(t); + + t = y - 1.0f; + a = x2 + (t * t); + + t = y + 1.0f; + a = (x2 + (t * t))/a; + w = CMPLXF(w, 0.25f * logf(a)); + return w; +} |