X-Git-Url: http://nsz.repo.hu/git/?p=libm;a=blobdiff_plain;f=src%2Fmath%2F__expo2f.c;fp=src%2Fmath%2F__expo2f.c;h=192838f7ebfb852b5fb71c34741d5f899516c95a;hp=0000000000000000000000000000000000000000;hb=0376d44a890fea261506f1fc63833e7a686dca19;hpb=25215b63b9aa93089a9a05d1cffc3784109228c6

diff --git a/src/math/__expo2f.c b/src/math/__expo2f.c
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+/* 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"
+
+/*
+ * We use exp(x) = exp(x - kln2) * 2**k,
+ * k is carefully chosen to minimize |exp(kln2) - 2**k|
+ */
+static const uint32_t k = 235;
+static const float kln2 = 162.88958740f;
+
+/* expf(x)/2 when x is huge */
+float __expo2f(float x)
+{
+	float scale;
+	int n;
+
+	/*
+	 * efficient scalbnf(y, k-1):
+	 * 2**(k-1) cannot be represented
+	 * so we use that k-1 is even and scale in two steps
+	 */
+	n = (k - 1)/2;
+	SET_FLOAT_WORD(scale, (0x7f + n) << 23);
+	return expf(x - kln2) * scale * scale;
+}