1d5580d09SDavid Schultz /*- 2d5580d09SDavid Schultz * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG> 3d5580d09SDavid Schultz * All rights reserved. 4d5580d09SDavid Schultz * 5d5580d09SDavid Schultz * Redistribution and use in source and binary forms, with or without 6d5580d09SDavid Schultz * modification, are permitted provided that the following conditions 7d5580d09SDavid Schultz * are met: 8d5580d09SDavid Schultz * 1. Redistributions of source code must retain the above copyright 9d5580d09SDavid Schultz * notice, this list of conditions and the following disclaimer. 10d5580d09SDavid Schultz * 2. Redistributions in binary form must reproduce the above copyright 11d5580d09SDavid Schultz * notice, this list of conditions and the following disclaimer in the 12d5580d09SDavid Schultz * documentation and/or other materials provided with the distribution. 13d5580d09SDavid Schultz * 14d5580d09SDavid Schultz * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 15d5580d09SDavid Schultz * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 16d5580d09SDavid Schultz * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 17d5580d09SDavid Schultz * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 18d5580d09SDavid Schultz * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 19d5580d09SDavid Schultz * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 20d5580d09SDavid Schultz * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 21d5580d09SDavid Schultz * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 22d5580d09SDavid Schultz * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 23d5580d09SDavid Schultz * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 24d5580d09SDavid Schultz * SUCH DAMAGE. 25d5580d09SDavid Schultz */ 26d5580d09SDavid Schultz 27d5580d09SDavid Schultz #include <sys/cdefs.h> 28d5580d09SDavid Schultz __FBSDID("$FreeBSD$"); 29d5580d09SDavid Schultz 30a1af0d70SDavid Schultz #include "math.h" 31a1af0d70SDavid Schultz 32d5580d09SDavid Schultz /* 33d5580d09SDavid Schultz * Fused multiply-add: Compute x * y + z with a single rounding error. 34d5580d09SDavid Schultz * 35d5580d09SDavid Schultz * A double has more than twice as much precision than a float, so 36d5580d09SDavid Schultz * direct double-precision arithmetic suffices. 37d5580d09SDavid Schultz * 38d5580d09SDavid Schultz * XXX We are relying on the compiler to convert from double to float 39d5580d09SDavid Schultz * using the current rounding mode and with the appropriate 40d5580d09SDavid Schultz * side-effects. But on at least one platform (gcc 3.4.2/sparc64), 41d5580d09SDavid Schultz * this appears to be too much to ask for. The precision 42d5580d09SDavid Schultz * reduction should be done manually. 43d5580d09SDavid Schultz */ 44d5580d09SDavid Schultz float 45d5580d09SDavid Schultz fmaf(float x, float y, float z) 46d5580d09SDavid Schultz { 47d5580d09SDavid Schultz 48d5580d09SDavid Schultz return ((double)x * y + z); 49d5580d09SDavid Schultz } 50