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authorburnus <burnus@138bc75d-0d04-0410-961f-82ee72b054a4>2010-11-16 21:23:19 +0000
committerburnus <burnus@138bc75d-0d04-0410-961f-82ee72b054a4>2010-11-16 21:23:19 +0000
commit87969c8c8b36df7b629b962028b668d7ede7321c (patch)
treee26ad385cfada5f1f2c55f92057a0259de8b98d2 /libquadmath/math/hypotq.c
parent6ef8d12f7e0db62100394a870efefae4c20f74f7 (diff)
downloadgcc-87969c8c8b36df7b629b962028b668d7ede7321c.tar.gz
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2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> Tobias Burnus <burnus@net-b.de> PR fortran/32049 * Makefile.def: Add libquadmath; build it with language=fortran. * configure.ac: Add libquadmath. * Makefile.tpl: Handle multiple libs in check-[+language+]. * Makefile.in: Regenerate. * configure: Regenerate. libquadmath/ 2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> Tobias Burnus <burnus@net-b.de> PR fortran/32049 Initial implementation and checkin. gcc/fortran/ 2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> Tobias Burnus <burnus@net-b.de> PR fortran/32049 * gfortranspec.c (find_spec_file): New function. (lang_specific_driver): Try to find .spec file and use it. * trans-io.c (iocall): Define * IOCALL_X_REAL128/COMPLEX128(,write). (gfc_build_io_library_fndecls): Build decl for __float128 I/O. (transfer_expr): Call __float128 I/O functions. * trans-types.c (gfc_init_kinds): Allow kind-16 belonging to __float128. gcc/testsuite/ 2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> Tobias Burnus <burnus@net-b.de> PR fortran/32049 * gfortran.dg/quad_1.f90: New. * lib/gcc-defs.exp (gcc-set-multilib-library-path): Use also compiler arguments. * lib/gfortran.exp (gfortran_link_flags): Add libquadmath to library search path; call gcc-set-multilib-library-path with arguments such that libgfortran.spec is found. (gfortran_init): Add path for libgfortran.spec to GFORTRAN_UNDER_TEST. libgomp/ 2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> Tobias Burnus <burnus@net-b.de> PR fortran/32049 * configure.ac: * configure: Regenerate. libgfortran/ 2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> Tobias Burnus <burnus@net-b.de> PR fortran/32049 * Makefile.am: Add missing pow_r16_i4.c, add transfer128.c, link libquadmath, if used. * acinclude.m4 (LIBGFOR_CHECK_FLOAT128): Add. * configure.ac: Use it, touch spec file. * gfortran.map: Add pow_r16_i4 and transfer_(real,complex)128(,write) functions. * intrinsics/cshift0.c (cshift0): Handle __float128 type. * intrinsics/erfc_scaled_inc.c: Ditto. * intrinsics/pack_generic.c (pack): Ditto * intrinsics/spread_generic.c (spread): Ditto. * intrinsics/unpack_generic.c (unpack1): Ditto. * io/read.c (convert_real): Ditto. * io/transfer.c: Update comments. * io/transfer128.c: New file. * io/write_float.def (write_float): Handle __float128 type. * libgfortran.h: #include quadmath_weak.h, define __builtin_infq and nanq. * m4/mtype.m4: Handle __float128 type. * runtime/in_pack_generic.c (internal_pack): Ditto. * runtime/in_unpack_generic.c (internal_unpack): Ditto. * kinds-override.h: New file. * libgfortran.spec.in: Ditto. * generated/pow_r16_i4.c: Generated. * Makefile.in: Regenerate. * configure: Regenerate. * config.h: Regenerate. * bessel_r10.c: Regenerate. * bessel_r16.c: Regenerate. * bessel_r4.c: Regenerate. * bessel_r8.c: Regenerate. * exponent_r16.c: Regenerate. * fraction_r16.c: Regenerate. * nearest_r16.c: Regenerate. * norm2_r10.c: Regenerate. * norm2_r16.c: Regenerate. * norm2_r4.c: Regenerate. * norm2_r8.c: Regenerate. * rrspacing_r16.c: Regenerate. * set_exponent_r16.c: Regenerate. * spacing_r16.c: Regenerate. git-svn-id: svn+ssh://gcc.gnu.org/svn/gcc/trunk@166825 138bc75d-0d04-0410-961f-82ee72b054a4
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+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* From e_hypotl.c -- long double version of e_hypot.c.
+ * Conversion to long double by Jakub Jelinek, jakub@redhat.com.
+ * Conversion to __float128 by FX Coudert, fxcoudert@gcc.gnu.org.
+ */
+
+/* hypotq(x,y)
+ *
+ * Method :
+ * If (assume round-to-nearest) z=x*x+y*y
+ * has error less than sqrtl(2)/2 ulp, than
+ * sqrtl(z) has error less than 1 ulp (exercise).
+ *
+ * So, compute sqrtl(x*x+y*y) with some care as
+ * follows to get the error below 1 ulp:
+ *
+ * Assume x>y>0;
+ * (if possible, set rounding to round-to-nearest)
+ * 1. if x > 2y use
+ * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ * where x1 = x with lower 64 bits cleared, x2 = x-x1; else
+ * 2. if x <= 2y use
+ * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ * where t1 = 2x with lower 64 bits cleared, t2 = 2x-t1,
+ * y1= y with lower 64 bits chopped, y2 = y-y1.
+ *
+ * NOTE: scaling may be necessary if some argument is too
+ * large or too tiny
+ *
+ * Special cases:
+ * hypotq(x,y) is INF if x or y is +INF or -INF; else
+ * hypotq(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * hypotq(x,y) returns sqrtl(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+#include "quadmath-imp.h"
+
+__float128
+hypotq (__float128 x, __float128 y)
+{
+ __float128 a, b, t1, t2, y1, y2, w;
+ int64_t j, k, ha, hb;
+
+ GET_FLT128_MSW64(ha,x);
+ ha &= 0x7fffffffffffffffLL;
+ GET_FLT128_MSW64(hb,y);
+ hb &= 0x7fffffffffffffffLL;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ SET_FLT128_MSW64(a,ha); /* a <- |a| */
+ SET_FLT128_MSW64(b,hb); /* b <- |b| */
+ if((ha-hb)>0x78000000000000LL) {return a+b;} /* x/y > 2**120 */
+ k=0;
+ if(ha > 0x5f3f000000000000LL) { /* a>2**8000 */
+ if(ha >= 0x7fff000000000000LL) { /* Inf or NaN */
+ uint64_t low;
+ w = a+b; /* for sNaN */
+ GET_FLT128_LSW64(low,a);
+ if(((ha&0xffffffffffffLL)|low)==0) w = a;
+ GET_FLT128_LSW64(low,b);
+ if(((hb^0x7fff000000000000LL)|low)==0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-9600 */
+ ha -= 0x2580000000000000LL;
+ hb -= 0x2580000000000000LL; k += 9600;
+ SET_FLT128_MSW64(a,ha);
+ SET_FLT128_MSW64(b,hb);
+ }
+ if(hb < 0x20bf000000000000LL) { /* b < 2**-8000 */
+ if(hb <= 0x0000ffffffffffffLL) { /* subnormal b or 0 */
+ uint64_t low;
+ GET_FLT128_LSW64(low,b);
+ if((hb|low)==0) return a;
+ t1=0;
+ SET_FLT128_MSW64(t1,0x7ffd000000000000LL); /* t1=2^16382 */
+ b *= t1;
+ a *= t1;
+ k -= 16382;
+ } else { /* scale a and b by 2^9600 */
+ ha += 0x2580000000000000LL; /* a *= 2^9600 */
+ hb += 0x2580000000000000LL; /* b *= 2^9600 */
+ k -= 9600;
+ SET_FLT128_MSW64(a,ha);
+ SET_FLT128_MSW64(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = 0;
+ SET_FLT128_MSW64(t1,ha);
+ t2 = a-t1;
+ w = sqrtq(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = 0;
+ SET_FLT128_MSW64(y1,hb);
+ y2 = b - y1;
+ t1 = 0;
+ SET_FLT128_MSW64(t1,ha+0x0001000000000000LL);
+ t2 = a - t1;
+ w = sqrtq(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ uint64_t high;
+ t1 = 1.0L;
+ GET_FLT128_MSW64(high,t1);
+ SET_FLT128_MSW64(t1,high+(k<<48));
+ return t1*w;
+ } else return w;
+}