Add a "fork" of musl as //fusl.

fusl/src/complex/csqrt.c

+/* 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 CMPLX(0, b);
+        if (isinf(b))
+                return CMPLX(INFINITY, b);
+        if (isnan(a)) {
+                t = (b - b) / (b - b);  /* raise invalid if b is not a NaN */
+                return CMPLX(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 CMPLX(fabs(b - b), copysign(a, b));
+                else
+                        return CMPLX(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 = CMPLX(t, b / (2 * t));
+        } else {
+                t = sqrt((-a + hypot(a, b)) * 0.5);
+                result = CMPLX(fabs(b) / (2 * t), copysign(t, b));
+        }
+
+        /* Rescale. */
+        if (scale)
+                result *= 2;
+        return result;
+}