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)); |
+ } |
+} |