summaryrefslogtreecommitdiff
path: root/src/complex/__cexpf.c
diff options
context:
space:
mode:
Diffstat (limited to 'src/complex/__cexpf.c')
-rw-r--r--src/complex/__cexpf.c68
1 files changed, 68 insertions, 0 deletions
diff --git a/src/complex/__cexpf.c b/src/complex/__cexpf.c
new file mode 100644
index 00000000..47168e8f
--- /dev/null
+++ b/src/complex/__cexpf.c
@@ -0,0 +1,68 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/k_expf.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 k = 235; /* constant for reduction */
+static const float kln2 = 162.88958740F; /* k * ln2 */
+
+/*
+ * See __cexp.c for details.
+ *
+ * Input: ln(FLT_MAX) <= x < ln(2 * FLT_MAX / FLT_MIN_DENORM) ~= 192.7
+ * Output: 2**127 <= y < 2**128
+ */
+static float __frexp_expf(float x, int *expt)
+{
+ float exp_x;
+ uint32_t hx;
+
+ exp_x = expf(x - kln2);
+ GET_FLOAT_WORD(hx, exp_x);
+ *expt = (hx >> 23) - (0x7f + 127) + k;
+ SET_FLOAT_WORD(exp_x, (hx & 0x7fffff) | ((0x7f + 127) << 23));
+ return exp_x;
+}
+
+float complex __ldexp_cexpf(float complex z, int expt)
+{
+ float x, y, exp_x, scale1, scale2;
+ int ex_expt, half_expt;
+
+ x = crealf(z);
+ y = cimagf(z);
+ exp_x = __frexp_expf(x, &ex_expt);
+ expt += ex_expt;
+
+ half_expt = expt / 2;
+ SET_FLOAT_WORD(scale1, (0x7f + half_expt) << 23);
+ half_expt = expt - half_expt;
+ SET_FLOAT_WORD(scale2, (0x7f + half_expt) << 23);
+
+ return cpackf(cosf(y) * exp_x * scale1 * scale2,
+ sinf(y) * exp_x * scale1 * scale2);
+}