mirror of
https://github.com/termux/termux-packages
synced 2024-06-18 21:28:50 +00:00
lfortran: Bump to 0.18.0
This commit is contained in:
parent
9069b98c13
commit
e3633ea261
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@ -2,9 +2,8 @@ TERMUX_PKG_HOMEPAGE=https://lfortran.org/
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TERMUX_PKG_DESCRIPTION="A modern open-source interactive Fortran compiler"
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TERMUX_PKG_DESCRIPTION="A modern open-source interactive Fortran compiler"
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TERMUX_PKG_LICENSE="BSD 3-Clause"
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TERMUX_PKG_LICENSE="BSD 3-Clause"
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TERMUX_PKG_MAINTAINER="@termux"
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TERMUX_PKG_MAINTAINER="@termux"
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TERMUX_PKG_VERSION=0.16.0
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TERMUX_PKG_VERSION=0.18.0
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TERMUX_PKG_REVISION=1
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TERMUX_PKG_SRCURL=https://github.com/lfortran/lfortran.git
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TERMUX_PKG_SRCURL=https://gitlab.com/lfortran/lfortran.git
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TERMUX_PKG_DEPENDS="clang, libc++, libkokkos, zlib"
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TERMUX_PKG_DEPENDS="clang, libc++, libkokkos, zlib"
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TERMUX_PKG_EXTRA_CONFIGURE_ARGS="-DBUILD_SHARED_LIBS=ON"
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TERMUX_PKG_EXTRA_CONFIGURE_ARGS="-DBUILD_SHARED_LIBS=ON"
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TERMUX_PKG_HOSTBUILD=true
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TERMUX_PKG_HOSTBUILD=true
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@ -32,16 +31,5 @@ termux_step_pre_configure() {
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( cd $TERMUX_PKG_SRCDIR && sh build0.sh )
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( cd $TERMUX_PKG_SRCDIR && sh build0.sh )
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for f in fpmath.h math_private.h s_clog.c s_clogf.c s_cpowf.c; do
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cp $TERMUX_PKG_BUILDER_DIR/$f $TERMUX_PKG_SRCDIR/src/runtime/impure/
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done
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LDFLAGS+=" -lm"
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LDFLAGS+=" -lm"
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}
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}
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termux_step_post_make_install() {
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# XXX: This file is used in cpp backend but not installed by the build system.
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# XXX: So is this an upstream issue?
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mkdir -p $PREFIX/share/lfortran/lib/impure
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cp ${TERMUX_PKG_SRCDIR}/src/runtime/impure/lfortran_intrinsics.h $PREFIX/share/lfortran/lib/impure
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}
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@ -1,20 +0,0 @@
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--- a/cmake/UserOverride.cmake
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+++ b/cmake/UserOverride.cmake
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@@ -9,7 +9,7 @@
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if (CMAKE_CXX_COMPILER_ID STREQUAL "GNU")
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# g++
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set(common "-Wall -Wextra")
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- set(CMAKE_CXX_FLAGS_RELEASE_INIT "${common} -O3 -march=native -funroll-loops -DNDEBUG")
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+ set(CMAKE_CXX_FLAGS_RELEASE_INIT "${common} -O3 -funroll-loops -DNDEBUG")
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set(CMAKE_CXX_FLAGS_DEBUG_INIT "${common} -g -ggdb")
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elseif (CMAKE_CXX_COMPILER_ID STREQUAL "Intel")
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# icpc
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@@ -19,7 +19,7 @@
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elseif (CMAKE_CXX_COMPILER_ID MATCHES Clang)
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# clang
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set(common "-Wall -Wextra")
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- set(CMAKE_CXX_FLAGS_RELEASE_INIT "${common} -O3 -march=native -funroll-loops -DNDEBUG")
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+ set(CMAKE_CXX_FLAGS_RELEASE_INIT "${common} -O3 -funroll-loops -DNDEBUG")
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set(CMAKE_CXX_FLAGS_DEBUG_INIT "${common} -g -ggdb")
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elseif (CMAKE_CXX_COMPILER_ID STREQUAL "PGI")
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# pgcpp
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@ -1,93 +0,0 @@
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/*-
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* Copyright (c) 2003 Mike Barcroft <mike@FreeBSD.org>
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* Copyright (c) 2002 David Schultz <das@FreeBSD.ORG>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* $FreeBSD$
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*/
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// ANDROID changed:
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// - keep only little endian variants as they're the only one supported.
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// - add long double structures here instead of _fpmath.h.
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// - android uses 128 bits long doubles for LP64, so the structure and macros
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// were reworked for the quad precision ieee representation.
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#pragma once
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#include <endian.h>
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union IEEEf2bits {
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float f;
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struct {
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unsigned int man :23;
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unsigned int exp :8;
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unsigned int sign :1;
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} bits;
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};
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#define DBL_MANH_SIZE 20
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#define DBL_MANL_SIZE 32
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union IEEEd2bits {
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double d;
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struct {
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unsigned int manl :32;
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unsigned int manh :20;
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unsigned int exp :11;
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unsigned int sign :1;
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} bits;
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};
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#ifdef __LP64__
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union IEEEl2bits {
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long double e;
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struct {
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unsigned long manl :64;
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unsigned long manh :48;
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unsigned int exp :15;
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unsigned int sign :1;
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} bits;
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struct {
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unsigned long manl :64;
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unsigned long manh :48;
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unsigned int expsign :16;
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} xbits;
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};
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#define LDBL_NBIT 0
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#define LDBL_IMPLICIT_NBIT
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#define mask_nbit_l(u) ((void)0)
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#define LDBL_MANH_SIZE 48
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#define LDBL_MANL_SIZE 64
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#define LDBL_TO_ARRAY32(u, a) do { \
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(a)[0] = (uint32_t)(u).bits.manl; \
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(a)[1] = (uint32_t)((u).bits.manl >> 32); \
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(a)[2] = (uint32_t)(u).bits.manh; \
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(a)[3] = (uint32_t)((u).bits.manh >> 32); \
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} while(0)
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#endif // __LP64__
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@ -1,924 +0,0 @@
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* from: @(#)fdlibm.h 5.1 93/09/24
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* $FreeBSD$
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*/
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#ifndef _MATH_PRIVATE_H_
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#define _MATH_PRIVATE_H_
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#include <sys/types.h>
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#include <sys/endian.h>
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/*
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* The original fdlibm code used statements like:
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* n0 = ((*(int*)&one)>>29)^1; * index of high word *
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* ix0 = *(n0+(int*)&x); * high word of x *
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* ix1 = *((1-n0)+(int*)&x); * low word of x *
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* to dig two 32 bit words out of the 64 bit IEEE floating point
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* value. That is non-ANSI, and, moreover, the gcc instruction
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* scheduler gets it wrong. We instead use the following macros.
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* Unlike the original code, we determine the endianness at compile
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* time, not at run time; I don't see much benefit to selecting
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* endianness at run time.
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*/
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/*
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* A union which permits us to convert between a double and two 32 bit
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* ints.
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*/
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#ifdef __arm__
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#if defined(__VFP_FP__) || defined(__ARM_EABI__)
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#define IEEE_WORD_ORDER BYTE_ORDER
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#else
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#define IEEE_WORD_ORDER BIG_ENDIAN
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#endif
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#else /* __arm__ */
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#define IEEE_WORD_ORDER BYTE_ORDER
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#endif
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/* A union which permits us to convert between a long double and
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four 32 bit ints. */
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#if IEEE_WORD_ORDER == BIG_ENDIAN
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typedef union
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{
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long double value;
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struct {
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u_int32_t mswhi;
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u_int32_t mswlo;
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u_int32_t lswhi;
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u_int32_t lswlo;
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} parts32;
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struct {
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u_int64_t msw;
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u_int64_t lsw;
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} parts64;
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} ieee_quad_shape_type;
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#endif
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#if IEEE_WORD_ORDER == LITTLE_ENDIAN
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typedef union
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{
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long double value;
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struct {
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u_int32_t lswlo;
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u_int32_t lswhi;
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u_int32_t mswlo;
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u_int32_t mswhi;
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} parts32;
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struct {
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u_int64_t lsw;
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u_int64_t msw;
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} parts64;
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} ieee_quad_shape_type;
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#endif
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#if IEEE_WORD_ORDER == BIG_ENDIAN
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typedef union
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{
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double value;
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struct
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{
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u_int32_t msw;
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u_int32_t lsw;
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} parts;
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struct
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{
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u_int64_t w;
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} xparts;
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} ieee_double_shape_type;
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#endif
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#if IEEE_WORD_ORDER == LITTLE_ENDIAN
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typedef union
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{
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double value;
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struct
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{
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u_int32_t lsw;
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u_int32_t msw;
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} parts;
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struct
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{
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u_int64_t w;
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} xparts;
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} ieee_double_shape_type;
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#endif
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/* Get two 32 bit ints from a double. */
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#define EXTRACT_WORDS(ix0,ix1,d) \
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do { \
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ieee_double_shape_type ew_u; \
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ew_u.value = (d); \
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(ix0) = ew_u.parts.msw; \
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(ix1) = ew_u.parts.lsw; \
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} while (0)
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/* Get a 64-bit int from a double. */
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#define EXTRACT_WORD64(ix,d) \
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do { \
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ieee_double_shape_type ew_u; \
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ew_u.value = (d); \
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(ix) = ew_u.xparts.w; \
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} while (0)
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/* Get the more significant 32 bit int from a double. */
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#define GET_HIGH_WORD(i,d) \
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do { \
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ieee_double_shape_type gh_u; \
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gh_u.value = (d); \
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(i) = gh_u.parts.msw; \
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} while (0)
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/* Get the less significant 32 bit int from a double. */
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#define GET_LOW_WORD(i,d) \
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do { \
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ieee_double_shape_type gl_u; \
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gl_u.value = (d); \
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(i) = gl_u.parts.lsw; \
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} while (0)
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/* Set a double from two 32 bit ints. */
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#define INSERT_WORDS(d,ix0,ix1) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.parts.msw = (ix0); \
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iw_u.parts.lsw = (ix1); \
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(d) = iw_u.value; \
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} while (0)
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/* Set a double from a 64-bit int. */
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#define INSERT_WORD64(d,ix) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.xparts.w = (ix); \
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(d) = iw_u.value; \
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} while (0)
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/* Set the more significant 32 bits of a double from an int. */
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#define SET_HIGH_WORD(d,v) \
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do { \
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ieee_double_shape_type sh_u; \
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||||||
sh_u.value = (d); \
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|
||||||
sh_u.parts.msw = (v); \
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||||||
(d) = sh_u.value; \
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|
||||||
} while (0)
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||||||
/* Set the less significant 32 bits of a double from an int. */
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#define SET_LOW_WORD(d,v) \
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do { \
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ieee_double_shape_type sl_u; \
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sl_u.value = (d); \
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sl_u.parts.lsw = (v); \
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(d) = sl_u.value; \
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} while (0)
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/*
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* A union which permits us to convert between a float and a 32 bit
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||||||
* int.
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*/
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typedef union
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{
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float value;
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/* FIXME: Assumes 32 bit int. */
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unsigned int word;
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} ieee_float_shape_type;
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||||||
/* Get a 32 bit int from a float. */
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|
||||||
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#define GET_FLOAT_WORD(i,d) \
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|
||||||
do { \
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ieee_float_shape_type gf_u; \
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||||||
gf_u.value = (d); \
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(i) = gf_u.word; \
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} while (0)
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/* Set a float from a 32 bit int. */
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#define SET_FLOAT_WORD(d,i) \
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do { \
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ieee_float_shape_type sf_u; \
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sf_u.word = (i); \
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|
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(d) = sf_u.value; \
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} while (0)
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/*
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|
||||||
* Get expsign and mantissa as 16 bit and 64 bit ints from an 80 bit long
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|
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* double.
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*/
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|
||||||
#define EXTRACT_LDBL80_WORDS(ix0,ix1,d) \
|
|
||||||
do { \
|
|
||||||
union IEEEl2bits ew_u; \
|
|
||||||
ew_u.e = (d); \
|
|
||||||
(ix0) = ew_u.xbits.expsign; \
|
|
||||||
(ix1) = ew_u.xbits.man; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Get expsign and mantissa as one 16 bit and two 64 bit ints from a 128 bit
|
|
||||||
* long double.
|
|
||||||
*/
|
|
||||||
|
|
||||||
#define EXTRACT_LDBL128_WORDS(ix0,ix1,ix2,d) \
|
|
||||||
do { \
|
|
||||||
union IEEEl2bits ew_u; \
|
|
||||||
ew_u.e = (d); \
|
|
||||||
(ix0) = ew_u.xbits.expsign; \
|
|
||||||
(ix1) = ew_u.xbits.manh; \
|
|
||||||
(ix2) = ew_u.xbits.manl; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/* Get expsign as a 16 bit int from a long double. */
|
|
||||||
|
|
||||||
#define GET_LDBL_EXPSIGN(i,d) \
|
|
||||||
do { \
|
|
||||||
union IEEEl2bits ge_u; \
|
|
||||||
ge_u.e = (d); \
|
|
||||||
(i) = ge_u.xbits.expsign; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Set an 80 bit long double from a 16 bit int expsign and a 64 bit int
|
|
||||||
* mantissa.
|
|
||||||
*/
|
|
||||||
|
|
||||||
#define INSERT_LDBL80_WORDS(d,ix0,ix1) \
|
|
||||||
do { \
|
|
||||||
union IEEEl2bits iw_u; \
|
|
||||||
iw_u.xbits.expsign = (ix0); \
|
|
||||||
iw_u.xbits.man = (ix1); \
|
|
||||||
(d) = iw_u.e; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Set a 128 bit long double from a 16 bit int expsign and two 64 bit ints
|
|
||||||
* comprising the mantissa.
|
|
||||||
*/
|
|
||||||
|
|
||||||
#define INSERT_LDBL128_WORDS(d,ix0,ix1,ix2) \
|
|
||||||
do { \
|
|
||||||
union IEEEl2bits iw_u; \
|
|
||||||
iw_u.xbits.expsign = (ix0); \
|
|
||||||
iw_u.xbits.manh = (ix1); \
|
|
||||||
iw_u.xbits.manl = (ix2); \
|
|
||||||
(d) = iw_u.e; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/* Set expsign of a long double from a 16 bit int. */
|
|
||||||
|
|
||||||
#define SET_LDBL_EXPSIGN(d,v) \
|
|
||||||
do { \
|
|
||||||
union IEEEl2bits se_u; \
|
|
||||||
se_u.e = (d); \
|
|
||||||
se_u.xbits.expsign = (v); \
|
|
||||||
(d) = se_u.e; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
#ifdef __i386__
|
|
||||||
/* Long double constants are broken on i386. */
|
|
||||||
#define LD80C(m, ex, v) { \
|
|
||||||
.xbits.man = __CONCAT(m, ULL), \
|
|
||||||
.xbits.expsign = (0x3fff + (ex)) | ((v) < 0 ? 0x8000 : 0), \
|
|
||||||
}
|
|
||||||
#else
|
|
||||||
/* The above works on non-i386 too, but we use this to check v. */
|
|
||||||
#define LD80C(m, ex, v) { .e = (v), }
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#ifdef FLT_EVAL_METHOD
|
|
||||||
/*
|
|
||||||
* Attempt to get strict C99 semantics for assignment with non-C99 compilers.
|
|
||||||
*/
|
|
||||||
#if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
|
|
||||||
#define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
|
|
||||||
#else
|
|
||||||
#define STRICT_ASSIGN(type, lval, rval) do { \
|
|
||||||
volatile type __lval; \
|
|
||||||
\
|
|
||||||
if (sizeof(type) >= sizeof(long double)) \
|
|
||||||
(lval) = (rval); \
|
|
||||||
else { \
|
|
||||||
__lval = (rval); \
|
|
||||||
(lval) = __lval; \
|
|
||||||
} \
|
|
||||||
} while (0)
|
|
||||||
#endif
|
|
||||||
#endif /* FLT_EVAL_METHOD */
|
|
||||||
|
|
||||||
/* Support switching the mode to FP_PE if necessary. */
|
|
||||||
#if defined(__i386__) && !defined(NO_FPSETPREC)
|
|
||||||
#define ENTERI() ENTERIT(long double)
|
|
||||||
#define ENTERIT(returntype) \
|
|
||||||
returntype __retval; \
|
|
||||||
fp_prec_t __oprec; \
|
|
||||||
\
|
|
||||||
if ((__oprec = fpgetprec()) != FP_PE) \
|
|
||||||
fpsetprec(FP_PE)
|
|
||||||
#define RETURNI(x) do { \
|
|
||||||
__retval = (x); \
|
|
||||||
if (__oprec != FP_PE) \
|
|
||||||
fpsetprec(__oprec); \
|
|
||||||
RETURNF(__retval); \
|
|
||||||
} while (0)
|
|
||||||
#define ENTERV() \
|
|
||||||
fp_prec_t __oprec; \
|
|
||||||
\
|
|
||||||
if ((__oprec = fpgetprec()) != FP_PE) \
|
|
||||||
fpsetprec(FP_PE)
|
|
||||||
#define RETURNV() do { \
|
|
||||||
if (__oprec != FP_PE) \
|
|
||||||
fpsetprec(__oprec); \
|
|
||||||
return; \
|
|
||||||
} while (0)
|
|
||||||
#else
|
|
||||||
#define ENTERI()
|
|
||||||
#define ENTERIT(x)
|
|
||||||
#define RETURNI(x) RETURNF(x)
|
|
||||||
#define ENTERV()
|
|
||||||
#define RETURNV() return
|
|
||||||
#endif
|
|
||||||
|
|
||||||
/* Default return statement if hack*_t() is not used. */
|
|
||||||
#define RETURNF(v) return (v)
|
|
||||||
|
|
||||||
/*
|
|
||||||
* 2sum gives the same result as 2sumF without requiring |a| >= |b| or
|
|
||||||
* a == 0, but is slower.
|
|
||||||
*/
|
|
||||||
#define _2sum(a, b) do { \
|
|
||||||
__typeof(a) __s, __w; \
|
|
||||||
\
|
|
||||||
__w = (a) + (b); \
|
|
||||||
__s = __w - (a); \
|
|
||||||
(b) = ((a) - (__w - __s)) + ((b) - __s); \
|
|
||||||
(a) = __w; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/*
|
|
||||||
* 2sumF algorithm.
|
|
||||||
*
|
|
||||||
* "Normalize" the terms in the infinite-precision expression a + b for
|
|
||||||
* the sum of 2 floating point values so that b is as small as possible
|
|
||||||
* relative to 'a'. (The resulting 'a' is the value of the expression in
|
|
||||||
* the same precision as 'a' and the resulting b is the rounding error.)
|
|
||||||
* |a| must be >= |b| or 0, b's type must be no larger than 'a's type, and
|
|
||||||
* exponent overflow or underflow must not occur. This uses a Theorem of
|
|
||||||
* Dekker (1971). See Knuth (1981) 4.2.2 Theorem C. The name "TwoSum"
|
|
||||||
* is apparently due to Skewchuk (1997).
|
|
||||||
*
|
|
||||||
* For this to always work, assignment of a + b to 'a' must not retain any
|
|
||||||
* extra precision in a + b. This is required by C standards but broken
|
|
||||||
* in many compilers. The brokenness cannot be worked around using
|
|
||||||
* STRICT_ASSIGN() like we do elsewhere, since the efficiency of this
|
|
||||||
* algorithm would be destroyed by non-null strict assignments. (The
|
|
||||||
* compilers are correct to be broken -- the efficiency of all floating
|
|
||||||
* point code calculations would be destroyed similarly if they forced the
|
|
||||||
* conversions.)
|
|
||||||
*
|
|
||||||
* Fortunately, a case that works well can usually be arranged by building
|
|
||||||
* any extra precision into the type of 'a' -- 'a' should have type float_t,
|
|
||||||
* double_t or long double. b's type should be no larger than 'a's type.
|
|
||||||
* Callers should use these types with scopes as large as possible, to
|
|
||||||
* reduce their own extra-precision and efficiciency problems. In
|
|
||||||
* particular, they shouldn't convert back and forth just to call here.
|
|
||||||
*/
|
|
||||||
#ifdef DEBUG
|
|
||||||
#define _2sumF(a, b) do { \
|
|
||||||
__typeof(a) __w; \
|
|
||||||
volatile __typeof(a) __ia, __ib, __r, __vw; \
|
|
||||||
\
|
|
||||||
__ia = (a); \
|
|
||||||
__ib = (b); \
|
|
||||||
assert(__ia == 0 || fabsl(__ia) >= fabsl(__ib)); \
|
|
||||||
\
|
|
||||||
__w = (a) + (b); \
|
|
||||||
(b) = ((a) - __w) + (b); \
|
|
||||||
(a) = __w; \
|
|
||||||
\
|
|
||||||
/* The next 2 assertions are weak if (a) is already long double. */ \
|
|
||||||
assert((long double)__ia + __ib == (long double)(a) + (b)); \
|
|
||||||
__vw = __ia + __ib; \
|
|
||||||
__r = __ia - __vw; \
|
|
||||||
__r += __ib; \
|
|
||||||
assert(__vw == (a) && __r == (b)); \
|
|
||||||
} while (0)
|
|
||||||
#else /* !DEBUG */
|
|
||||||
#define _2sumF(a, b) do { \
|
|
||||||
__typeof(a) __w; \
|
|
||||||
\
|
|
||||||
__w = (a) + (b); \
|
|
||||||
(b) = ((a) - __w) + (b); \
|
|
||||||
(a) = __w; \
|
|
||||||
} while (0)
|
|
||||||
#endif /* DEBUG */
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Set x += c, where x is represented in extra precision as a + b.
|
|
||||||
* x must be sufficiently normalized and sufficiently larger than c,
|
|
||||||
* and the result is then sufficiently normalized.
|
|
||||||
*
|
|
||||||
* The details of ordering are that |a| must be >= |c| (so that (a, c)
|
|
||||||
* can be normalized without extra work to swap 'a' with c). The details of
|
|
||||||
* the normalization are that b must be small relative to the normalized 'a'.
|
|
||||||
* Normalization of (a, c) makes the normalized c tiny relative to the
|
|
||||||
* normalized a, so b remains small relative to 'a' in the result. However,
|
|
||||||
* b need not ever be tiny relative to 'a'. For example, b might be about
|
|
||||||
* 2**20 times smaller than 'a' to give about 20 extra bits of precision.
|
|
||||||
* That is usually enough, and adding c (which by normalization is about
|
|
||||||
* 2**53 times smaller than a) cannot change b significantly. However,
|
|
||||||
* cancellation of 'a' with c in normalization of (a, c) may reduce 'a'
|
|
||||||
* significantly relative to b. The caller must ensure that significant
|
|
||||||
* cancellation doesn't occur, either by having c of the same sign as 'a',
|
|
||||||
* or by having |c| a few percent smaller than |a|. Pre-normalization of
|
|
||||||
* (a, b) may help.
|
|
||||||
*
|
|
||||||
* This is is a variant of an algorithm of Kahan (see Knuth (1981) 4.2.2
|
|
||||||
* exercise 19). We gain considerable efficiency by requiring the terms to
|
|
||||||
* be sufficiently normalized and sufficiently increasing.
|
|
||||||
*/
|
|
||||||
#define _3sumF(a, b, c) do { \
|
|
||||||
__typeof(a) __tmp; \
|
|
||||||
\
|
|
||||||
__tmp = (c); \
|
|
||||||
_2sumF(__tmp, (a)); \
|
|
||||||
(b) += (a); \
|
|
||||||
(a) = __tmp; \
|
|
||||||
} while (0)
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Common routine to process the arguments to nan(), nanf(), and nanl().
|
|
||||||
*/
|
|
||||||
void _scan_nan(uint32_t *__words, int __num_words, const char *__s);
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Mix 0, 1 or 2 NaNs. First add 0 to each arg. This normally just turns
|
|
||||||
* signaling NaNs into quiet NaNs by setting a quiet bit. We do this
|
|
||||||
* because we want to never return a signaling NaN, and also because we
|
|
||||||
* don't want the quiet bit to affect the result. Then mix the converted
|
|
||||||
* args using the specified operation.
|
|
||||||
*
|
|
||||||
* When one arg is NaN, the result is typically that arg quieted. When both
|
|
||||||
* args are NaNs, the result is typically the quietening of the arg whose
|
|
||||||
* mantissa is largest after quietening. When neither arg is NaN, the
|
|
||||||
* result may be NaN because it is indeterminate, or finite for subsequent
|
|
||||||
* construction of a NaN as the indeterminate 0.0L/0.0L.
|
|
||||||
*
|
|
||||||
* Technical complications: the result in bits after rounding to the final
|
|
||||||
* precision might depend on the runtime precision and/or on compiler
|
|
||||||
* optimizations, especially when different register sets are used for
|
|
||||||
* different precisions. Try to make the result not depend on at least the
|
|
||||||
* runtime precision by always doing the main mixing step in long double
|
|
||||||
* precision. Try to reduce dependencies on optimizations by adding the
|
|
||||||
* the 0's in different precisions (unless everything is in long double
|
|
||||||
* precision).
|
|
||||||
*/
|
|
||||||
#define nan_mix(x, y) (nan_mix_op((x), (y), +))
|
|
||||||
#define nan_mix_op(x, y, op) (((x) + 0.0L) op ((y) + 0))
|
|
||||||
|
|
||||||
#ifdef _COMPLEX_H
|
|
||||||
|
|
||||||
/*
|
|
||||||
* C99 specifies that complex numbers have the same representation as
|
|
||||||
* an array of two elements, where the first element is the real part
|
|
||||||
* and the second element is the imaginary part.
|
|
||||||
*/
|
|
||||||
typedef union {
|
|
||||||
float complex f;
|
|
||||||
float a[2];
|
|
||||||
} float_complex;
|
|
||||||
typedef union {
|
|
||||||
double complex f;
|
|
||||||
double a[2];
|
|
||||||
} double_complex;
|
|
||||||
typedef union {
|
|
||||||
long double complex f;
|
|
||||||
long double a[2];
|
|
||||||
} long_double_complex;
|
|
||||||
#define REALPART(z) ((z).a[0])
|
|
||||||
#define IMAGPART(z) ((z).a[1])
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Inline functions that can be used to construct complex values.
|
|
||||||
*
|
|
||||||
* The C99 standard intends x+I*y to be used for this, but x+I*y is
|
|
||||||
* currently unusable in general since gcc introduces many overflow,
|
|
||||||
* underflow, sign and efficiency bugs by rewriting I*y as
|
|
||||||
* (0.0+I)*(y+0.0*I) and laboriously computing the full complex product.
|
|
||||||
* In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted
|
|
||||||
* to -0.0+I*0.0.
|
|
||||||
*
|
|
||||||
* The C11 standard introduced the macros CMPLX(), CMPLXF() and CMPLXL()
|
|
||||||
* to construct complex values. Compilers that conform to the C99
|
|
||||||
* standard require the following functions to avoid the above issues.
|
|
||||||
*/
|
|
||||||
|
|
||||||
#ifndef CMPLXF
|
|
||||||
static __inline float complex
|
|
||||||
CMPLXF(float x, float y)
|
|
||||||
{
|
|
||||||
float_complex z;
|
|
||||||
|
|
||||||
REALPART(z) = x;
|
|
||||||
IMAGPART(z) = y;
|
|
||||||
return (z.f);
|
|
||||||
}
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#ifndef CMPLX
|
|
||||||
static __inline double complex
|
|
||||||
CMPLX(double x, double y)
|
|
||||||
{
|
|
||||||
double_complex z;
|
|
||||||
|
|
||||||
REALPART(z) = x;
|
|
||||||
IMAGPART(z) = y;
|
|
||||||
return (z.f);
|
|
||||||
}
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#ifndef CMPLXL
|
|
||||||
static __inline long double complex
|
|
||||||
CMPLXL(long double x, long double y)
|
|
||||||
{
|
|
||||||
long_double_complex z;
|
|
||||||
|
|
||||||
REALPART(z) = x;
|
|
||||||
IMAGPART(z) = y;
|
|
||||||
return (z.f);
|
|
||||||
}
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#endif /* _COMPLEX_H */
|
|
||||||
|
|
||||||
/*
|
|
||||||
* The rnint() family rounds to the nearest integer for a restricted range
|
|
||||||
* range of args (up to about 2**MANT_DIG). We assume that the current
|
|
||||||
* rounding mode is FE_TONEAREST so that this can be done efficiently.
|
|
||||||
* Extra precision causes more problems in practice, and we only centralize
|
|
||||||
* this here to reduce those problems, and have not solved the efficiency
|
|
||||||
* problems. The exp2() family uses a more delicate version of this that
|
|
||||||
* requires extracting bits from the intermediate value, so it is not
|
|
||||||
* centralized here and should copy any solution of the efficiency problems.
|
|
||||||
*/
|
|
||||||
|
|
||||||
static inline double
|
|
||||||
rnint(__double_t x)
|
|
||||||
{
|
|
||||||
/*
|
|
||||||
* This casts to double to kill any extra precision. This depends
|
|
||||||
* on the cast being applied to a double_t to avoid compiler bugs
|
|
||||||
* (this is a cleaner version of STRICT_ASSIGN()). This is
|
|
||||||
* inefficient if there actually is extra precision, but is hard
|
|
||||||
* to improve on. We use double_t in the API to minimise conversions
|
|
||||||
* for just calling here. Note that we cannot easily change the
|
|
||||||
* magic number to the one that works directly with double_t, since
|
|
||||||
* the rounding precision is variable at runtime on x86 so the
|
|
||||||
* magic number would need to be variable. Assuming that the
|
|
||||||
* rounding precision is always the default is too fragile. This
|
|
||||||
* and many other complications will move when the default is
|
|
||||||
* changed to FP_PE.
|
|
||||||
*/
|
|
||||||
return ((double)(x + 0x1.8p52) - 0x1.8p52);
|
|
||||||
}
|
|
||||||
|
|
||||||
static inline float
|
|
||||||
rnintf(__float_t x)
|
|
||||||
{
|
|
||||||
/*
|
|
||||||
* As for rnint(), except we could just call that to handle the
|
|
||||||
* extra precision case, usually without losing efficiency.
|
|
||||||
*/
|
|
||||||
return ((float)(x + 0x1.8p23F) - 0x1.8p23F);
|
|
||||||
}
|
|
||||||
|
|
||||||
#ifdef LDBL_MANT_DIG
|
|
||||||
/*
|
|
||||||
* The complications for extra precision are smaller for rnintl() since it
|
|
||||||
* can safely assume that the rounding precision has been increased from
|
|
||||||
* its default to FP_PE on x86. We don't exploit that here to get small
|
|
||||||
* optimizations from limiting the rangle to double. We just need it for
|
|
||||||
* the magic number to work with long doubles. ld128 callers should use
|
|
||||||
* rnint() instead of this if possible. ld80 callers should prefer
|
|
||||||
* rnintl() since for amd64 this avoids swapping the register set, while
|
|
||||||
* for i386 it makes no difference (assuming FP_PE), and for other arches
|
|
||||||
* it makes little difference.
|
|
||||||
*/
|
|
||||||
static inline long double
|
|
||||||
rnintl(long double x)
|
|
||||||
{
|
|
||||||
return (x + __CONCAT(0x1.8p, LDBL_MANT_DIG) / 2 -
|
|
||||||
__CONCAT(0x1.8p, LDBL_MANT_DIG) / 2);
|
|
||||||
}
|
|
||||||
#endif /* LDBL_MANT_DIG */
|
|
||||||
|
|
||||||
/*
|
|
||||||
* irint() and i64rint() give the same result as casting to their integer
|
|
||||||
* return type provided their arg is a floating point integer. They can
|
|
||||||
* sometimes be more efficient because no rounding is required.
|
|
||||||
*/
|
|
||||||
#if (defined(amd64) || defined(__i386__)) && defined(__GNUCLIKE_ASM)
|
|
||||||
#define irint(x) \
|
|
||||||
(sizeof(x) == sizeof(float) && \
|
|
||||||
sizeof(__float_t) == sizeof(long double) ? irintf(x) : \
|
|
||||||
sizeof(x) == sizeof(double) && \
|
|
||||||
sizeof(__double_t) == sizeof(long double) ? irintd(x) : \
|
|
||||||
sizeof(x) == sizeof(long double) ? irintl(x) : (int)(x))
|
|
||||||
#else
|
|
||||||
#define irint(x) ((int)(x))
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#define i64rint(x) ((int64_t)(x)) /* only needed for ld128 so not opt. */
|
|
||||||
|
|
||||||
#if defined(__i386__) && defined(__GNUCLIKE_ASM)
|
|
||||||
static __inline int
|
|
||||||
irintf(float x)
|
|
||||||
{
|
|
||||||
int n;
|
|
||||||
|
|
||||||
__asm("fistl %0" : "=m" (n) : "t" (x));
|
|
||||||
return (n);
|
|
||||||
}
|
|
||||||
|
|
||||||
static __inline int
|
|
||||||
irintd(double x)
|
|
||||||
{
|
|
||||||
int n;
|
|
||||||
|
|
||||||
__asm("fistl %0" : "=m" (n) : "t" (x));
|
|
||||||
return (n);
|
|
||||||
}
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#if (defined(__amd64__) || defined(__i386__)) && defined(__GNUCLIKE_ASM)
|
|
||||||
static __inline int
|
|
||||||
irintl(long double x)
|
|
||||||
{
|
|
||||||
int n;
|
|
||||||
|
|
||||||
__asm("fistl %0" : "=m" (n) : "t" (x));
|
|
||||||
return (n);
|
|
||||||
}
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#ifdef DEBUG
|
|
||||||
#if defined(__amd64__) || defined(__i386__)
|
|
||||||
#define breakpoint() asm("int $3")
|
|
||||||
#else
|
|
||||||
#include <signal.h>
|
|
||||||
|
|
||||||
#define breakpoint() raise(SIGTRAP)
|
|
||||||
#endif
|
|
||||||
#endif
|
|
||||||
|
|
||||||
/* Write a pari script to test things externally. */
|
|
||||||
#ifdef DOPRINT
|
|
||||||
#include <stdio.h>
|
|
||||||
|
|
||||||
#ifndef DOPRINT_SWIZZLE
|
|
||||||
#define DOPRINT_SWIZZLE 0
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#ifdef DOPRINT_LD80
|
|
||||||
|
|
||||||
#define DOPRINT_START(xp) do { \
|
|
||||||
uint64_t __lx; \
|
|
||||||
uint16_t __hx; \
|
|
||||||
\
|
|
||||||
/* Hack to give more-problematic args. */ \
|
|
||||||
EXTRACT_LDBL80_WORDS(__hx, __lx, *xp); \
|
|
||||||
__lx ^= DOPRINT_SWIZZLE; \
|
|
||||||
INSERT_LDBL80_WORDS(*xp, __hx, __lx); \
|
|
||||||
printf("x = %.21Lg; ", (long double)*xp); \
|
|
||||||
} while (0)
|
|
||||||
#define DOPRINT_END1(v) \
|
|
||||||
printf("y = %.21Lg; z = 0; show(x, y, z);\n", (long double)(v))
|
|
||||||
#define DOPRINT_END2(hi, lo) \
|
|
||||||
printf("y = %.21Lg; z = %.21Lg; show(x, y, z);\n", \
|
|
||||||
(long double)(hi), (long double)(lo))
|
|
||||||
|
|
||||||
#elif defined(DOPRINT_D64)
|
|
||||||
|
|
||||||
#define DOPRINT_START(xp) do { \
|
|
||||||
uint32_t __hx, __lx; \
|
|
||||||
\
|
|
||||||
EXTRACT_WORDS(__hx, __lx, *xp); \
|
|
||||||
__lx ^= DOPRINT_SWIZZLE; \
|
|
||||||
INSERT_WORDS(*xp, __hx, __lx); \
|
|
||||||
printf("x = %.21Lg; ", (long double)*xp); \
|
|
||||||
} while (0)
|
|
||||||
#define DOPRINT_END1(v) \
|
|
||||||
printf("y = %.21Lg; z = 0; show(x, y, z);\n", (long double)(v))
|
|
||||||
#define DOPRINT_END2(hi, lo) \
|
|
||||||
printf("y = %.21Lg; z = %.21Lg; show(x, y, z);\n", \
|
|
||||||
(long double)(hi), (long double)(lo))
|
|
||||||
|
|
||||||
#elif defined(DOPRINT_F32)
|
|
||||||
|
|
||||||
#define DOPRINT_START(xp) do { \
|
|
||||||
uint32_t __hx; \
|
|
||||||
\
|
|
||||||
GET_FLOAT_WORD(__hx, *xp); \
|
|
||||||
__hx ^= DOPRINT_SWIZZLE; \
|
|
||||||
SET_FLOAT_WORD(*xp, __hx); \
|
|
||||||
printf("x = %.21Lg; ", (long double)*xp); \
|
|
||||||
} while (0)
|
|
||||||
#define DOPRINT_END1(v) \
|
|
||||||
printf("y = %.21Lg; z = 0; show(x, y, z);\n", (long double)(v))
|
|
||||||
#define DOPRINT_END2(hi, lo) \
|
|
||||||
printf("y = %.21Lg; z = %.21Lg; show(x, y, z);\n", \
|
|
||||||
(long double)(hi), (long double)(lo))
|
|
||||||
|
|
||||||
#else /* !DOPRINT_LD80 && !DOPRINT_D64 (LD128 only) */
|
|
||||||
|
|
||||||
#ifndef DOPRINT_SWIZZLE_HIGH
|
|
||||||
#define DOPRINT_SWIZZLE_HIGH 0
|
|
||||||
#endif
|
|
||||||
|
|
||||||
#define DOPRINT_START(xp) do { \
|
|
||||||
uint64_t __lx, __llx; \
|
|
||||||
uint16_t __hx; \
|
|
||||||
\
|
|
||||||
EXTRACT_LDBL128_WORDS(__hx, __lx, __llx, *xp); \
|
|
||||||
__llx ^= DOPRINT_SWIZZLE; \
|
|
||||||
__lx ^= DOPRINT_SWIZZLE_HIGH; \
|
|
||||||
INSERT_LDBL128_WORDS(*xp, __hx, __lx, __llx); \
|
|
||||||
printf("x = %.36Lg; ", (long double)*xp); \
|
|
||||||
} while (0)
|
|
||||||
#define DOPRINT_END1(v) \
|
|
||||||
printf("y = %.36Lg; z = 0; show(x, y, z);\n", (long double)(v))
|
|
||||||
#define DOPRINT_END2(hi, lo) \
|
|
||||||
printf("y = %.36Lg; z = %.36Lg; show(x, y, z);\n", \
|
|
||||||
(long double)(hi), (long double)(lo))
|
|
||||||
|
|
||||||
#endif /* DOPRINT_LD80 */
|
|
||||||
|
|
||||||
#else /* !DOPRINT */
|
|
||||||
#define DOPRINT_START(xp)
|
|
||||||
#define DOPRINT_END1(v)
|
|
||||||
#define DOPRINT_END2(hi, lo)
|
|
||||||
#endif /* DOPRINT */
|
|
||||||
|
|
||||||
#define RETURNP(x) do { \
|
|
||||||
DOPRINT_END1(x); \
|
|
||||||
RETURNF(x); \
|
|
||||||
} while (0)
|
|
||||||
#define RETURNPI(x) do { \
|
|
||||||
DOPRINT_END1(x); \
|
|
||||||
RETURNI(x); \
|
|
||||||
} while (0)
|
|
||||||
#define RETURN2P(x, y) do { \
|
|
||||||
DOPRINT_END2((x), (y)); \
|
|
||||||
RETURNF((x) + (y)); \
|
|
||||||
} while (0)
|
|
||||||
#define RETURN2PI(x, y) do { \
|
|
||||||
DOPRINT_END2((x), (y)); \
|
|
||||||
RETURNI((x) + (y)); \
|
|
||||||
} while (0)
|
|
||||||
#ifdef STRUCT_RETURN
|
|
||||||
#define RETURNSP(rp) do { \
|
|
||||||
if (!(rp)->lo_set) \
|
|
||||||
RETURNP((rp)->hi); \
|
|
||||||
RETURN2P((rp)->hi, (rp)->lo); \
|
|
||||||
} while (0)
|
|
||||||
#define RETURNSPI(rp) do { \
|
|
||||||
if (!(rp)->lo_set) \
|
|
||||||
RETURNPI((rp)->hi); \
|
|
||||||
RETURN2PI((rp)->hi, (rp)->lo); \
|
|
||||||
} while (0)
|
|
||||||
#endif
|
|
||||||
#define SUM2P(x, y) ({ \
|
|
||||||
const __typeof (x) __x = (x); \
|
|
||||||
const __typeof (y) __y = (y); \
|
|
||||||
\
|
|
||||||
DOPRINT_END2(__x, __y); \
|
|
||||||
__x + __y; \
|
|
||||||
})
|
|
||||||
|
|
||||||
/*
|
|
||||||
* ieee style elementary functions
|
|
||||||
*
|
|
||||||
* We rename functions here to improve other sources' diffability
|
|
||||||
* against fdlibm.
|
|
||||||
*/
|
|
||||||
#define __ieee754_sqrt sqrt
|
|
||||||
#define __ieee754_acos acos
|
|
||||||
#define __ieee754_acosh acosh
|
|
||||||
#define __ieee754_log log
|
|
||||||
#define __ieee754_log2 log2
|
|
||||||
#define __ieee754_atanh atanh
|
|
||||||
#define __ieee754_asin asin
|
|
||||||
#define __ieee754_atan2 atan2
|
|
||||||
#define __ieee754_exp exp
|
|
||||||
#define __ieee754_cosh cosh
|
|
||||||
#define __ieee754_fmod fmod
|
|
||||||
#define __ieee754_pow pow
|
|
||||||
#define __ieee754_lgamma lgamma
|
|
||||||
#define __ieee754_gamma gamma
|
|
||||||
#define __ieee754_lgamma_r lgamma_r
|
|
||||||
#define __ieee754_gamma_r gamma_r
|
|
||||||
#define __ieee754_log10 log10
|
|
||||||
#define __ieee754_sinh sinh
|
|
||||||
#define __ieee754_hypot hypot
|
|
||||||
#define __ieee754_j0 j0
|
|
||||||
#define __ieee754_j1 j1
|
|
||||||
#define __ieee754_y0 y0
|
|
||||||
#define __ieee754_y1 y1
|
|
||||||
#define __ieee754_jn jn
|
|
||||||
#define __ieee754_yn yn
|
|
||||||
#define __ieee754_remainder remainder
|
|
||||||
#define __ieee754_scalb scalb
|
|
||||||
#define __ieee754_sqrtf sqrtf
|
|
||||||
#define __ieee754_acosf acosf
|
|
||||||
#define __ieee754_acoshf acoshf
|
|
||||||
#define __ieee754_logf logf
|
|
||||||
#define __ieee754_atanhf atanhf
|
|
||||||
#define __ieee754_asinf asinf
|
|
||||||
#define __ieee754_atan2f atan2f
|
|
||||||
#define __ieee754_expf expf
|
|
||||||
#define __ieee754_coshf coshf
|
|
||||||
#define __ieee754_fmodf fmodf
|
|
||||||
#define __ieee754_powf powf
|
|
||||||
#define __ieee754_lgammaf lgammaf
|
|
||||||
#define __ieee754_gammaf gammaf
|
|
||||||
#define __ieee754_lgammaf_r lgammaf_r
|
|
||||||
#define __ieee754_gammaf_r gammaf_r
|
|
||||||
#define __ieee754_log10f log10f
|
|
||||||
#define __ieee754_log2f log2f
|
|
||||||
#define __ieee754_sinhf sinhf
|
|
||||||
#define __ieee754_hypotf hypotf
|
|
||||||
#define __ieee754_j0f j0f
|
|
||||||
#define __ieee754_j1f j1f
|
|
||||||
#define __ieee754_y0f y0f
|
|
||||||
#define __ieee754_y1f y1f
|
|
||||||
#define __ieee754_jnf jnf
|
|
||||||
#define __ieee754_ynf ynf
|
|
||||||
#define __ieee754_remainderf remainderf
|
|
||||||
#define __ieee754_scalbf scalbf
|
|
||||||
|
|
||||||
/* fdlibm kernel function */
|
|
||||||
int __kernel_rem_pio2(double*,double*,int,int,int);
|
|
||||||
|
|
||||||
/* double precision kernel functions */
|
|
||||||
#ifndef INLINE_REM_PIO2
|
|
||||||
int __ieee754_rem_pio2(double,double*);
|
|
||||||
#endif
|
|
||||||
double __kernel_sin(double,double,int);
|
|
||||||
double __kernel_cos(double,double);
|
|
||||||
double __kernel_tan(double,double,int);
|
|
||||||
double __ldexp_exp(double,int);
|
|
||||||
#ifdef _COMPLEX_H
|
|
||||||
double complex __ldexp_cexp(double complex,int);
|
|
||||||
#endif
|
|
||||||
|
|
||||||
/* float precision kernel functions */
|
|
||||||
#ifndef INLINE_REM_PIO2F
|
|
||||||
int __ieee754_rem_pio2f(float,double*);
|
|
||||||
#endif
|
|
||||||
#ifndef INLINE_KERNEL_SINDF
|
|
||||||
float __kernel_sindf(double);
|
|
||||||
#endif
|
|
||||||
#ifndef INLINE_KERNEL_COSDF
|
|
||||||
float __kernel_cosdf(double);
|
|
||||||
#endif
|
|
||||||
#ifndef INLINE_KERNEL_TANDF
|
|
||||||
float __kernel_tandf(double,int);
|
|
||||||
#endif
|
|
||||||
float __ldexp_expf(float,int);
|
|
||||||
#ifdef _COMPLEX_H
|
|
||||||
float complex __ldexp_cexpf(float complex,int);
|
|
||||||
#endif
|
|
||||||
|
|
||||||
/* long double precision kernel functions */
|
|
||||||
long double __kernel_sinl(long double, long double, int);
|
|
||||||
long double __kernel_cosl(long double, long double);
|
|
||||||
long double __kernel_tanl(long double, long double, int);
|
|
||||||
|
|
||||||
#endif /* !_MATH_PRIVATE_H_ */
|
|
|
@ -1,155 +0,0 @@
|
||||||
/*-
|
|
||||||
* Copyright (c) 2013 Bruce D. Evans
|
|
||||||
* 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 unmodified, 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 ``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.
|
|
||||||
*/
|
|
||||||
|
|
||||||
#include <sys/cdefs.h>
|
|
||||||
__FBSDID("$FreeBSD$");
|
|
||||||
|
|
||||||
#include <complex.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
#include "fpmath.h"
|
|
||||||
#include "math.h"
|
|
||||||
#include "math_private.h"
|
|
||||||
|
|
||||||
#define MANT_DIG DBL_MANT_DIG
|
|
||||||
#define MAX_EXP DBL_MAX_EXP
|
|
||||||
#define MIN_EXP DBL_MIN_EXP
|
|
||||||
|
|
||||||
static const double
|
|
||||||
ln2_hi = 6.9314718055829871e-1, /* 0x162e42fefa0000.0p-53 */
|
|
||||||
ln2_lo = 1.6465949582897082e-12; /* 0x1cf79abc9e3b3a.0p-92 */
|
|
||||||
|
|
||||||
double complex
|
|
||||||
clog(double complex z)
|
|
||||||
{
|
|
||||||
double_t ax, ax2h, ax2l, axh, axl, ay, ay2h, ay2l, ayh, ayl, sh, sl, t;
|
|
||||||
double x, y, v;
|
|
||||||
uint32_t hax, hay;
|
|
||||||
int kx, ky;
|
|
||||||
|
|
||||||
x = creal(z);
|
|
||||||
y = cimag(z);
|
|
||||||
v = atan2(y, x);
|
|
||||||
|
|
||||||
ax = fabs(x);
|
|
||||||
ay = fabs(y);
|
|
||||||
if (ax < ay) {
|
|
||||||
t = ax;
|
|
||||||
ax = ay;
|
|
||||||
ay = t;
|
|
||||||
}
|
|
||||||
|
|
||||||
GET_HIGH_WORD(hax, ax);
|
|
||||||
kx = (hax >> 20) - 1023;
|
|
||||||
GET_HIGH_WORD(hay, ay);
|
|
||||||
ky = (hay >> 20) - 1023;
|
|
||||||
|
|
||||||
/* Handle NaNs and Infs using the general formula. */
|
|
||||||
if (kx == MAX_EXP || ky == MAX_EXP)
|
|
||||||
return (CMPLX(log(hypot(x, y)), v));
|
|
||||||
|
|
||||||
/* Avoid spurious underflow, and reduce inaccuracies when ax is 1. */
|
|
||||||
if (ax == 1) {
|
|
||||||
if (ky < (MIN_EXP - 1) / 2)
|
|
||||||
return (CMPLX((ay / 2) * ay, v));
|
|
||||||
return (CMPLX(log1p(ay * ay) / 2, v));
|
|
||||||
}
|
|
||||||
|
|
||||||
/* Avoid underflow when ax is not small. Also handle zero args. */
|
|
||||||
if (kx - ky > MANT_DIG || ay == 0)
|
|
||||||
return (CMPLX(log(ax), v));
|
|
||||||
|
|
||||||
/* Avoid overflow. */
|
|
||||||
if (kx >= MAX_EXP - 1)
|
|
||||||
return (CMPLX(log(hypot(x * 0x1p-1022, y * 0x1p-1022)) +
|
|
||||||
(MAX_EXP - 2) * ln2_lo + (MAX_EXP - 2) * ln2_hi, v));
|
|
||||||
if (kx >= (MAX_EXP - 1) / 2)
|
|
||||||
return (CMPLX(log(hypot(x, y)), v));
|
|
||||||
|
|
||||||
/* Reduce inaccuracies and avoid underflow when ax is denormal. */
|
|
||||||
if (kx <= MIN_EXP - 2)
|
|
||||||
return (CMPLX(log(hypot(x * 0x1p1023, y * 0x1p1023)) +
|
|
||||||
(MIN_EXP - 2) * ln2_lo + (MIN_EXP - 2) * ln2_hi, v));
|
|
||||||
|
|
||||||
/* Avoid remaining underflows (when ax is small but not denormal). */
|
|
||||||
if (ky < (MIN_EXP - 1) / 2 + MANT_DIG)
|
|
||||||
return (CMPLX(log(hypot(x, y)), v));
|
|
||||||
|
|
||||||
/* Calculate ax*ax and ay*ay exactly using Dekker's algorithm. */
|
|
||||||
t = (double)(ax * (0x1p27 + 1));
|
|
||||||
axh = (double)(ax - t) + t;
|
|
||||||
axl = ax - axh;
|
|
||||||
ax2h = ax * ax;
|
|
||||||
ax2l = axh * axh - ax2h + 2 * axh * axl + axl * axl;
|
|
||||||
t = (double)(ay * (0x1p27 + 1));
|
|
||||||
ayh = (double)(ay - t) + t;
|
|
||||||
ayl = ay - ayh;
|
|
||||||
ay2h = ay * ay;
|
|
||||||
ay2l = ayh * ayh - ay2h + 2 * ayh * ayl + ayl * ayl;
|
|
||||||
|
|
||||||
/*
|
|
||||||
* When log(|z|) is far from 1, accuracy in calculating the sum
|
|
||||||
* of the squares is not very important since log() reduces
|
|
||||||
* inaccuracies. We depended on this to use the general
|
|
||||||
* formula when log(|z|) is very far from 1. When log(|z|) is
|
|
||||||
* moderately far from 1, we go through the extra-precision
|
|
||||||
* calculations to reduce branches and gain a little accuracy.
|
|
||||||
*
|
|
||||||
* When |z| is near 1, we subtract 1 and use log1p() and don't
|
|
||||||
* leave it to log() to subtract 1, since we gain at least 1 bit
|
|
||||||
* of accuracy in this way.
|
|
||||||
*
|
|
||||||
* When |z| is very near 1, subtracting 1 can cancel almost
|
|
||||||
* 3*MANT_DIG bits. We arrange that subtracting 1 is exact in
|
|
||||||
* doubled precision, and then do the rest of the calculation
|
|
||||||
* in sloppy doubled precision. Although large cancellations
|
|
||||||
* often lose lots of accuracy, here the final result is exact
|
|
||||||
* in doubled precision if the large calculation occurs (because
|
|
||||||
* then it is exact in tripled precision and the cancellation
|
|
||||||
* removes enough bits to fit in doubled precision). Thus the
|
|
||||||
* result is accurate in sloppy doubled precision, and the only
|
|
||||||
* significant loss of accuracy is when it is summed and passed
|
|
||||||
* to log1p().
|
|
||||||
*/
|
|
||||||
sh = ax2h;
|
|
||||||
sl = ay2h;
|
|
||||||
_2sumF(sh, sl);
|
|
||||||
if (sh < 0.5 || sh >= 3)
|
|
||||||
return (CMPLX(log(ay2l + ax2l + sl + sh) / 2, v));
|
|
||||||
sh -= 1;
|
|
||||||
_2sum(sh, sl);
|
|
||||||
_2sum(ax2l, ay2l);
|
|
||||||
/* Briggs-Kahan algorithm (except we discard the final low term): */
|
|
||||||
_2sum(sh, ax2l);
|
|
||||||
_2sum(sl, ay2l);
|
|
||||||
t = ax2l + sl;
|
|
||||||
_2sumF(sh, t);
|
|
||||||
return (CMPLX(log1p(ay2l + t + sh) / 2, v));
|
|
||||||
}
|
|
||||||
|
|
||||||
#if (LDBL_MANT_DIG == 53)
|
|
||||||
__weak_reference(clog, clogl);
|
|
||||||
#endif
|
|
|
@ -1,151 +0,0 @@
|
||||||
/*-
|
|
||||||
* Copyright (c) 2013 Bruce D. Evans
|
|
||||||
* 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 unmodified, 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 ``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.
|
|
||||||
*/
|
|
||||||
|
|
||||||
#include <sys/cdefs.h>
|
|
||||||
__FBSDID("$FreeBSD$");
|
|
||||||
|
|
||||||
#include <complex.h>
|
|
||||||
#include <float.h>
|
|
||||||
|
|
||||||
#include "fpmath.h"
|
|
||||||
#include "math.h"
|
|
||||||
#include "math_private.h"
|
|
||||||
|
|
||||||
#define MANT_DIG FLT_MANT_DIG
|
|
||||||
#define MAX_EXP FLT_MAX_EXP
|
|
||||||
#define MIN_EXP FLT_MIN_EXP
|
|
||||||
|
|
||||||
static const float
|
|
||||||
ln2f_hi = 6.9314575195e-1, /* 0xb17200.0p-24 */
|
|
||||||
ln2f_lo = 1.4286067653e-6; /* 0xbfbe8e.0p-43 */
|
|
||||||
|
|
||||||
float complex
|
|
||||||
clogf(float complex z)
|
|
||||||
{
|
|
||||||
float_t ax, ax2h, ax2l, axh, axl, ay, ay2h, ay2l, ayh, ayl, sh, sl, t;
|
|
||||||
float x, y, v;
|
|
||||||
uint32_t hax, hay;
|
|
||||||
int kx, ky;
|
|
||||||
|
|
||||||
x = crealf(z);
|
|
||||||
y = cimagf(z);
|
|
||||||
v = atan2f(y, x);
|
|
||||||
|
|
||||||
ax = fabsf(x);
|
|
||||||
ay = fabsf(y);
|
|
||||||
if (ax < ay) {
|
|
||||||
t = ax;
|
|
||||||
ax = ay;
|
|
||||||
ay = t;
|
|
||||||
}
|
|
||||||
|
|
||||||
GET_FLOAT_WORD(hax, ax);
|
|
||||||
kx = (hax >> 23) - 127;
|
|
||||||
GET_FLOAT_WORD(hay, ay);
|
|
||||||
ky = (hay >> 23) - 127;
|
|
||||||
|
|
||||||
/* Handle NaNs and Infs using the general formula. */
|
|
||||||
if (kx == MAX_EXP || ky == MAX_EXP)
|
|
||||||
return (CMPLXF(logf(hypotf(x, y)), v));
|
|
||||||
|
|
||||||
/* Avoid spurious underflow, and reduce inaccuracies when ax is 1. */
|
|
||||||
if (hax == 0x3f800000) {
|
|
||||||
if (ky < (MIN_EXP - 1) / 2)
|
|
||||||
return (CMPLXF((ay / 2) * ay, v));
|
|
||||||
return (CMPLXF(log1pf(ay * ay) / 2, v));
|
|
||||||
}
|
|
||||||
|
|
||||||
/* Avoid underflow when ax is not small. Also handle zero args. */
|
|
||||||
if (kx - ky > MANT_DIG || hay == 0)
|
|
||||||
return (CMPLXF(logf(ax), v));
|
|
||||||
|
|
||||||
/* Avoid overflow. */
|
|
||||||
if (kx >= MAX_EXP - 1)
|
|
||||||
return (CMPLXF(logf(hypotf(x * 0x1p-126F, y * 0x1p-126F)) +
|
|
||||||
(MAX_EXP - 2) * ln2f_lo + (MAX_EXP - 2) * ln2f_hi, v));
|
|
||||||
if (kx >= (MAX_EXP - 1) / 2)
|
|
||||||
return (CMPLXF(logf(hypotf(x, y)), v));
|
|
||||||
|
|
||||||
/* Reduce inaccuracies and avoid underflow when ax is denormal. */
|
|
||||||
if (kx <= MIN_EXP - 2)
|
|
||||||
return (CMPLXF(logf(hypotf(x * 0x1p127F, y * 0x1p127F)) +
|
|
||||||
(MIN_EXP - 2) * ln2f_lo + (MIN_EXP - 2) * ln2f_hi, v));
|
|
||||||
|
|
||||||
/* Avoid remaining underflows (when ax is small but not denormal). */
|
|
||||||
if (ky < (MIN_EXP - 1) / 2 + MANT_DIG)
|
|
||||||
return (CMPLXF(logf(hypotf(x, y)), v));
|
|
||||||
|
|
||||||
/* Calculate ax*ax and ay*ay exactly using Dekker's algorithm. */
|
|
||||||
t = (float)(ax * (0x1p12F + 1));
|
|
||||||
axh = (float)(ax - t) + t;
|
|
||||||
axl = ax - axh;
|
|
||||||
ax2h = ax * ax;
|
|
||||||
ax2l = axh * axh - ax2h + 2 * axh * axl + axl * axl;
|
|
||||||
t = (float)(ay * (0x1p12F + 1));
|
|
||||||
ayh = (float)(ay - t) + t;
|
|
||||||
ayl = ay - ayh;
|
|
||||||
ay2h = ay * ay;
|
|
||||||
ay2l = ayh * ayh - ay2h + 2 * ayh * ayl + ayl * ayl;
|
|
||||||
|
|
||||||
/*
|
|
||||||
* When log(|z|) is far from 1, accuracy in calculating the sum
|
|
||||||
* of the squares is not very important since log() reduces
|
|
||||||
* inaccuracies. We depended on this to use the general
|
|
||||||
* formula when log(|z|) is very far from 1. When log(|z|) is
|
|
||||||
* moderately far from 1, we go through the extra-precision
|
|
||||||
* calculations to reduce branches and gain a little accuracy.
|
|
||||||
*
|
|
||||||
* When |z| is near 1, we subtract 1 and use log1p() and don't
|
|
||||||
* leave it to log() to subtract 1, since we gain at least 1 bit
|
|
||||||
* of accuracy in this way.
|
|
||||||
*
|
|
||||||
* When |z| is very near 1, subtracting 1 can cancel almost
|
|
||||||
* 3*MANT_DIG bits. We arrange that subtracting 1 is exact in
|
|
||||||
* doubled precision, and then do the rest of the calculation
|
|
||||||
* in sloppy doubled precision. Although large cancellations
|
|
||||||
* often lose lots of accuracy, here the final result is exact
|
|
||||||
* in doubled precision if the large calculation occurs (because
|
|
||||||
* then it is exact in tripled precision and the cancellation
|
|
||||||
* removes enough bits to fit in doubled precision). Thus the
|
|
||||||
* result is accurate in sloppy doubled precision, and the only
|
|
||||||
* significant loss of accuracy is when it is summed and passed
|
|
||||||
* to log1p().
|
|
||||||
*/
|
|
||||||
sh = ax2h;
|
|
||||||
sl = ay2h;
|
|
||||||
_2sumF(sh, sl);
|
|
||||||
if (sh < 0.5F || sh >= 3)
|
|
||||||
return (CMPLXF(logf(ay2l + ax2l + sl + sh) / 2, v));
|
|
||||||
sh -= 1;
|
|
||||||
_2sum(sh, sl);
|
|
||||||
_2sum(ax2l, ay2l);
|
|
||||||
/* Briggs-Kahan algorithm (except we discard the final low term): */
|
|
||||||
_2sum(sh, ax2l);
|
|
||||||
_2sum(sl, ay2l);
|
|
||||||
t = ax2l + sl;
|
|
||||||
_2sumF(sh, t);
|
|
||||||
return (CMPLXF(log1pf(ay2l + t + sh) / 2, v));
|
|
||||||
}
|
|
|
@ -1,74 +0,0 @@
|
||||||
/*-
|
|
||||||
* Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
|
|
||||||
*
|
|
||||||
* Permission to use, copy, modify, and distribute this software for any
|
|
||||||
* purpose with or without fee is hereby granted, provided that the above
|
|
||||||
* copyright notice and this permission notice appear in all copies.
|
|
||||||
*
|
|
||||||
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
|
|
||||||
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
|
|
||||||
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
|
|
||||||
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
|
|
||||||
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
|
|
||||||
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
|
|
||||||
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
|
|
||||||
*/
|
|
||||||
|
|
||||||
/* cpowf
|
|
||||||
*
|
|
||||||
* Complex power function
|
|
||||||
*
|
|
||||||
*
|
|
||||||
*
|
|
||||||
* SYNOPSIS:
|
|
||||||
*
|
|
||||||
* float complex cpowf();
|
|
||||||
* float complex a, z, w;
|
|
||||||
*
|
|
||||||
* w = cpowf (a, z);
|
|
||||||
*
|
|
||||||
*
|
|
||||||
*
|
|
||||||
* DESCRIPTION:
|
|
||||||
*
|
|
||||||
* Raises complex A to the complex Zth power.
|
|
||||||
* Definition is per AMS55 # 4.2.8,
|
|
||||||
* analytically equivalent to cpow(a,z) = cexp(z clog(a)).
|
|
||||||
*
|
|
||||||
* ACCURACY:
|
|
||||||
*
|
|
||||||
* Relative error:
|
|
||||||
* arithmetic domain # trials peak rms
|
|
||||||
* IEEE -10,+10 30000 9.4e-15 1.5e-15
|
|
||||||
*
|
|
||||||
*/
|
|
||||||
|
|
||||||
#include <sys/cdefs.h>
|
|
||||||
__FBSDID("$FreeBSD$");
|
|
||||||
|
|
||||||
#include <complex.h>
|
|
||||||
#include <math.h>
|
|
||||||
#include "math_private.h"
|
|
||||||
|
|
||||||
float complex
|
|
||||||
cpowf(float complex a, float complex z)
|
|
||||||
{
|
|
||||||
float complex w;
|
|
||||||
float x, y, r, theta, absa, arga;
|
|
||||||
|
|
||||||
x = crealf(z);
|
|
||||||
y = cimagf(z);
|
|
||||||
absa = cabsf (a);
|
|
||||||
if (absa == 0.0f) {
|
|
||||||
return (CMPLXF(0.0f, 0.0f));
|
|
||||||
}
|
|
||||||
arga = cargf (a);
|
|
||||||
r = powf (absa, x);
|
|
||||||
theta = x * arga;
|
|
||||||
if (y != 0.0f) {
|
|
||||||
r = r * expf (-y * arga);
|
|
||||||
theta = theta + y * logf (absa);
|
|
||||||
}
|
|
||||||
w = CMPLXF(r * cosf (theta), r * sinf (theta));
|
|
||||||
return (w);
|
|
||||||
}
|
|
|
@ -11,7 +11,7 @@
|
||||||
std::cerr << "The code C++ generated by the C++ LFortran backend uses the Kokkos library" << std::endl;
|
std::cerr << "The code C++ generated by the C++ LFortran backend uses the Kokkos library" << std::endl;
|
||||||
std::cerr << "(https://github.com/kokkos/kokkos). Please define the LFORTRAN_KOKKOS_DIR" << std::endl;
|
std::cerr << "(https://github.com/kokkos/kokkos). Please define the LFORTRAN_KOKKOS_DIR" << std::endl;
|
||||||
std::cerr << "environment variable to point to the Kokkos installation." << std::endl;
|
std::cerr << "environment variable to point to the Kokkos installation." << std::endl;
|
||||||
throw LFortran::LFortranException("LFORTRAN_KOKKOS_DIR is not defined");
|
throw LFortran::LCompilersException("LFORTRAN_KOKKOS_DIR is not defined");
|
||||||
+#endif
|
+#endif
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
|
@ -1,18 +0,0 @@
|
||||||
--- a/src/runtime/impure/lfortran_intrinsics.c
|
|
||||||
+++ b/src/runtime/impure/lfortran_intrinsics.c
|
|
||||||
@@ -9,6 +9,15 @@
|
|
||||||
#include <float.h>
|
|
||||||
#include <limits.h>
|
|
||||||
|
|
||||||
+#if defined __ANDROID__ && __ANDROID_API__ < 26
|
|
||||||
+#include "s_clog.c"
|
|
||||||
+#undef MANT_DIG
|
|
||||||
+#undef MAX_EXP
|
|
||||||
+#undef MIN_EXP
|
|
||||||
+#include "s_clogf.c"
|
|
||||||
+#include "s_cpowf.c"
|
|
||||||
+#endif
|
|
||||||
+
|
|
||||||
#include "lfortran_intrinsics.h"
|
|
||||||
|
|
||||||
|
|
Loading…
Reference in New Issue
Block a user