/* * Copyright (c) 2015 Jiri Svoboda * Copyright (c) 2014 Martin Decky * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * - 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. * - The name of the author may not be used to endorse or promote products * derived from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``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 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. */ /** @addtogroup libmath * @{ */ /** @file */ #include #include /** Truncate fractional part (round towards zero) * * Truncate the fractional part of IEEE 754 single * precision floating point number by zeroing fraction * bits, effectively rounding the number towards zero * to the nearest whole number. * * If the argument is infinity or NaN, an exception * should be indicated. This is not implemented yet. * * @param val Floating point number. * * @return Number rounded towards zero. * */ float32_t float32_trunc(float32_t val) { float32_u v; int32_t exp; v.val = val; exp = v.data.parts.exp - FLOAT32_BIAS; if (exp < 0) { /* -1 < val < 1 => result is +0 or -0 */ v.data.parts.exp = 0; v.data.parts.fraction = 0; } else if (exp >= FLOAT32_FRACTION_SIZE) { if (exp == 1024) { /* val is +inf, -inf or NaN => trigger an exception */ // FIXME TODO } /* All bits in val are relevant for the result */ } else { /* Truncate irrelevant fraction bits */ v.data.parts.fraction &= ~(UINT32_C(0x007fffff) >> exp); } return v.val; } /** Truncate fractional part (round towards zero) * * Truncate the fractional part of IEEE 754 double * precision floating point number by zeroing fraction * bits, effectively rounding the number towards zero * to the nearest whole number. * * If the argument is infinity or NaN, an exception * should be indicated. This is not implemented yet. * * @param val Floating point number. * * @return Number rounded towards zero. * */ float64_t float64_trunc(float64_t val) { float64_u v; int32_t exp; v.val = val; exp = v.data.parts.exp - FLOAT64_BIAS; if (exp < 0) { /* -1 < val < 1 => result is +0 or -0 */ v.data.parts.exp = 0; v.data.parts.fraction = 0; } else if (exp >= FLOAT64_FRACTION_SIZE) { if (exp == 1024) { /* val is +inf, -inf or NaN => trigger an exception */ // FIXME TODO } /* All bits in val are relevant for the result */ } else { /* Truncate irrelevant fraction bits */ v.data.parts.fraction &= ~(UINT64_C(0x000fffffffffffff) >> exp); } return v.val; } /** @} */