| 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));
|
| + }
|
| +}
|
|
|