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Diffstat (limited to 'src/complex/csqrt.c')
| -rw-r--r-- | src/complex/csqrt.c | 100 | 
1 files changed, 100 insertions, 0 deletions
diff --git a/src/complex/csqrt.c b/src/complex/csqrt.c new file mode 100644 index 00000000..21fb879d --- /dev/null +++ b/src/complex/csqrt.c @@ -0,0 +1,100 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/s_csqrt.c */ +/*- + * Copyright (c) 2007 David Schultz <das@FreeBSD.ORG> + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + *    notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + *    notice, this list of conditions and the following disclaimer in the + *    documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#include "libm.h" + +/* + * gcc doesn't implement complex multiplication or division correctly, + * so we need to handle infinities specially. We turn on this pragma to + * notify conforming c99 compilers that the fast-but-incorrect code that + * gcc generates is acceptable, since the special cases have already been + * handled. + */ +#pragma STDC CX_LIMITED_RANGE ON + +/* We risk spurious overflow for components >= DBL_MAX / (1 + sqrt(2)). */ +#define THRESH  0x1.a827999fcef32p+1022 + +double complex csqrt(double complex z) +{ +	double complex result; +	double a, b; +	double t; +	int scale; + +	a = creal(z); +	b = cimag(z); + +	/* Handle special cases. */ +	if (z == 0) +		return cpack(0, b); +	if (isinf(b)) +		return cpack(INFINITY, b); +	if (isnan(a)) { +		t = (b - b) / (b - b);  /* raise invalid if b is not a NaN */ +		return cpack(a, t);   /* return NaN + NaN i */ +	} +	if (isinf(a)) { +		/* +		 * csqrt(inf + NaN i)  = inf +  NaN i +		 * csqrt(inf + y i)    = inf +  0 i +		 * csqrt(-inf + NaN i) = NaN +- inf i +		 * csqrt(-inf + y i)   = 0   +  inf i +		 */ +		if (signbit(a)) +			return cpack(fabs(b - b), copysign(a, b)); +		else +			return cpack(a, copysign(b - b, b)); +	} +	/* +	 * The remaining special case (b is NaN) is handled just fine by +	 * the normal code path below. +	 */ + +	/* Scale to avoid overflow. */ +	if (fabs(a) >= THRESH || fabs(b) >= THRESH) { +		a *= 0.25; +		b *= 0.25; +		scale = 1; +	} else { +		scale = 0; +	} + +	/* Algorithm 312, CACM vol 10, Oct 1967. */ +	if (a >= 0) { +		t = sqrt((a + hypot(a, b)) * 0.5); +		result = cpack(t, b / (2 * t)); +	} else { +		t = sqrt((-a + hypot(a, b)) * 0.5); +		result = cpack(fabs(b) / (2 * t), copysign(t, b)); +	} + +	/* Rescale. */ +	if (scale) +		result *= 2; +	return result; +}  | 
