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Unified Diff: fusl/src/complex/cexpf.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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Index: fusl/src/complex/cexpf.c
diff --git a/fusl/src/complex/cexpf.c b/fusl/src/complex/cexpf.c
new file mode 100644
index 0000000000000000000000000000000000000000..1a09964cbb52df1cc68b857e459450cf6d98910d
--- /dev/null
+++ b/fusl/src/complex/cexpf.c
@@ -0,0 +1,83 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/s_cexpf.c */
+/*-
+ * Copyright (c) 2011 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"
+
+static const uint32_t
+exp_ovfl = 0x42b17218, /* MAX_EXP * ln2 ~= 88.722839355 */
+cexp_ovfl = 0x43400074; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
+
+float complex cexpf(float complex z)
+{
+ float x, y, exp_x;
+ uint32_t hx, hy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hy, y);
+ hy &= 0x7fffffff;
+
+ /* cexp(x + I 0) = exp(x) + I 0 */
+ if (hy == 0)
+ return CMPLXF(expf(x), y);
+ GET_FLOAT_WORD(hx, x);
+ /* cexp(0 + I y) = cos(y) + I sin(y) */
+ if ((hx & 0x7fffffff) == 0)
+ return CMPLXF(cosf(y), sinf(y));
+
+ if (hy >= 0x7f800000) {
+ if ((hx & 0x7fffffff) != 0x7f800000) {
+ /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
+ return CMPLXF(y - y, y - y);
+ } else if (hx & 0x80000000) {
+ /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
+ return CMPLXF(0.0, 0.0);
+ } else {
+ /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
+ return CMPLXF(x, y - y);
+ }
+ }
+
+ if (hx >= exp_ovfl && hx <= cexp_ovfl) {
+ /*
+ * x is between 88.7 and 192, so we must scale to avoid
+ * overflow in expf(x).
+ */
+ return __ldexp_cexpf(z, 0);
+ } else {
+ /*
+ * Cases covered here:
+ * - x < exp_ovfl and exp(x) won't overflow (common case)
+ * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
+ * - x = +-Inf (generated by exp())
+ * - x = NaN (spurious inexact exception from y)
+ */
+ exp_x = expf(x);
+ return CMPLXF(exp_x * cosf(y), exp_x * sinf(y));
+ }
+}
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