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m---------gnulib0
-rw-r--r--gnulib/m4/fmaf.m4167
2 files changed, 167 insertions, 0 deletions
diff --git a/gnulib b/gnulib
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-Subproject 443bc5ffcf7429e557f4a371b0661abe98ddbc1
diff --git a/gnulib/m4/fmaf.m4 b/gnulib/m4/fmaf.m4
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+++ b/gnulib/m4/fmaf.m4
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+# fmaf.m4 serial 1
+dnl Copyright (C) 2011 Free Software Foundation, Inc.
+dnl This file is free software; the Free Software Foundation
+dnl gives unlimited permission to copy and/or distribute it,
+dnl with or without modifications, as long as this notice is preserved.
+
+AC_DEFUN([gl_FUNC_FMAF],
+[
+ AC_REQUIRE([gl_MATH_H_DEFAULTS])
+
+ dnl Determine FMAF_LIBM.
+ gl_MATHFUNC([fmaf], [float], [(float, float, float)])
+ if test $gl_cv_func_fmaf_no_libm = yes \
+ || test $gl_cv_func_fmaf_in_libm = yes; then
+ gl_FUNC_FMAF_WORKS
+ case "$gl_cv_func_fmaf_works" in
+ *no) REPLACE_FMAF=1 ;;
+ esac
+ else
+ HAVE_FMAF=0
+ fi
+ if test $HAVE_FMAF = 0 || test $REPLACE_FMAF = 1; then
+ dnl Find libraries needed to link lib/fmaf.c.
+ AC_REQUIRE([gl_FUNC_FREXPF])
+ AC_REQUIRE([gl_FUNC_LDEXPF])
+ AC_REQUIRE([gl_FUNC_FEGETROUND])
+ FMAF_LIBM=
+ dnl Append $FREXPF_LIBM to FMAF_LIBM, avoiding gratuitous duplicates.
+ case " $FMAF_LIBM " in
+ *" $FREXPF_LIBM "*) ;;
+ *) FMAF_LIBM="$FMAF_LIBM $FREXPF_LIBM" ;;
+ esac
+ dnl Append $LDEXPF_LIBM to FMAF_LIBM, avoiding gratuitous duplicates.
+ case " $FMAF_LIBM " in
+ *" $LDEXPF_LIBM "*) ;;
+ *) FMAF_LIBM="$FMAF_LIBM $LDEXPF_LIBM" ;;
+ esac
+ dnl Append $FEGETROUND_LIBM to FMAF_LIBM, avoiding gratuitous duplicates.
+ case " $FMAF_LIBM " in
+ *" $FEGETROUND_LIBM "*) ;;
+ *) FMAF_LIBM="$FMAF_LIBM $FEGETROUND_LIBM" ;;
+ esac
+ fi
+ AC_SUBST([FMAF_LIBM])
+])
+
+dnl Test whether fmaf() has any of the 7 known bugs of glibc 2.11.3 on x86_64.
+AC_DEFUN([gl_FUNC_FMAF_WORKS],
+[
+ AC_REQUIRE([AC_PROG_CC])
+ AC_REQUIRE([AC_CANONICAL_HOST]) dnl for cross-compiles
+ AC_REQUIRE([gl_FUNC_LDEXPF])
+ save_LIBS="$LIBS"
+ LIBS="$LIBS $FMAF_LIBM $LDEXPF_LIBM"
+ AC_CACHE_CHECK([whether fmaf works], [gl_cv_func_fmaf_works],
+ [
+ AC_RUN_IFELSE(
+ [AC_LANG_SOURCE([[
+#include <float.h>
+#include <math.h>
+float p0 = 0.0f;
+int main()
+{
+ int failed_tests = 0;
+ /* These tests fail with glibc 2.11.3 on x86_64. */
+ {
+ volatile float x = 1.5f; /* 3 * 2^-1 */
+ volatile float y = x;
+ volatile float z = ldexpf (1.0f, FLT_MANT_DIG + 1); /* 2^25 */
+ /* x * y + z with infinite precision: 2^25 + 9 * 2^-2.
+ Lies between (2^23 + 0) * 2^2 and (2^23 + 1) * 2^2
+ and is closer to (2^23 + 1) * 2^2, therefore the rounding
+ must round up and produce (2^23 + 1) * 2^2. */
+ volatile float expected = z + 4.0f;
+ volatile float result = fmaf (x, y, z);
+ if (result != expected)
+ failed_tests |= 1;
+ }
+ {
+ volatile float x = 1.25f; /* 2^0 + 2^-2 */
+ volatile float y = - x;
+ volatile float z = ldexpf (1.0f, FLT_MANT_DIG + 1); /* 2^25 */
+ /* x * y + z with infinite precision: 2^25 - 2^0 - 2^-1 - 2^-4.
+ Lies between (2^24 - 1) * 2^1 and 2^24 * 2^1
+ and is closer to (2^24 - 1) * 2^1, therefore the rounding
+ must round down and produce (2^24 - 1) * 2^1. */
+ volatile float expected = (ldexpf (1.0f, FLT_MANT_DIG) - 1.0f) * 2.0f;
+ volatile float result = fmaf (x, y, z);
+ if (result != expected)
+ failed_tests |= 2;
+ }
+ {
+ volatile float x = 1.0f + ldexpf (1.0f, 1 - FLT_MANT_DIG); /* 2^0 + 2^-23 */
+ volatile float y = x;
+ volatile float z = 4.0f; /* 2^2 */
+ /* x * y + z with infinite precision: 2^2 + 2^0 + 2^-22 + 2^-46.
+ Lies between (2^23 + 2^21) * 2^-21 and (2^23 + 2^21 + 1) * 2^-21
+ and is closer to (2^23 + 2^21 + 1) * 2^-21, therefore the rounding
+ must round up and produce (2^23 + 2^21 + 1) * 2^-21. */
+ volatile float expected = 4.0f + 1.0f + ldexpf (1.0f, 3 - FLT_MANT_DIG);
+ volatile float result = fmaf (x, y, z);
+ if (result != expected)
+ failed_tests |= 4;
+ }
+ {
+ volatile float x = 1.0f + ldexpf (1.0f, 1 - FLT_MANT_DIG); /* 2^0 + 2^-23 */
+ volatile float y = - x;
+ volatile float z = 8.0f; /* 2^3 */
+ /* x * y + z with infinite precision: 2^2 + 2^1 + 2^0 - 2^-22 - 2^-46.
+ Lies between (2^23 + 2^22 + 2^21 - 1) * 2^-21 and
+ (2^23 + 2^22 + 2^21) * 2^-21 and is closer to
+ (2^23 + 2^22 + 2^21 - 1) * 2^-21, therefore the rounding
+ must round down and produce (2^23 + 2^22 + 2^21 - 1) * 2^-21. */
+ volatile float expected = 7.0f - ldexpf (1.0f, 3 - FLT_MANT_DIG);
+ volatile float result = fmaf (x, y, z);
+ if (result != expected)
+ failed_tests |= 8;
+ }
+ {
+ volatile float x = 1.25f; /* 2^0 + 2^-2 */
+ volatile float y = - 0.75f; /* - 2^0 + 2^-2 */
+ volatile float z = ldexpf (1.0f, FLT_MANT_DIG); /* 2^24 */
+ /* x * y + z with infinite precision: 2^24 - 2^0 + 2^-4.
+ Lies between (2^24 - 2^0) and 2^24 and is closer to (2^24 - 2^0),
+ therefore the rounding must round down and produce (2^24 - 2^0). */
+ volatile float expected = ldexpf (1.0f, FLT_MANT_DIG) - 1.0f;
+ volatile float result = fmaf (x, y, z);
+ if (result != expected)
+ failed_tests |= 16;
+ }
+ if ((FLT_MANT_DIG % 2) == 0)
+ {
+ volatile float x = 1.0f + ldexpf (1.0f, - FLT_MANT_DIG / 2); /* 2^0 + 2^-12 */
+ volatile float y = x;
+ volatile float z = ldexpf (1.0f, FLT_MIN_EXP - FLT_MANT_DIG); /* 2^-149 */
+ /* x * y + z with infinite precision: 2^0 + 2^-11 + 2^-24 + 2^-149.
+ Lies between (2^23 + 2^12 + 0) * 2^-23 and (2^23 + 2^12 + 1) * 2^-23
+ and is closer to (2^23 + 2^12 + 1) * 2^-23, therefore the rounding
+ must round up and produce (2^23 + 2^12 + 1) * 2^-23. */
+ volatile float expected =
+ 1.0f + ldexpf (1.0f, 1 - FLT_MANT_DIG / 2) + ldexpf (1.0f, 1 - FLT_MANT_DIG);
+ volatile float result = fmaf (x, y, z);
+ if (result != expected)
+ failed_tests |= 32;
+ }
+ {
+ float minus_inf = -1.0f / p0;
+ volatile float x = ldexpf (1.0f, FLT_MAX_EXP - 1);
+ volatile float y = ldexpf (1.0f, FLT_MAX_EXP - 1);
+ volatile float z = minus_inf;
+ volatile float result = fmaf (x, y, z);
+ if (!(result == minus_inf))
+ failed_tests |= 64;
+ }
+ return failed_tests;
+}]])],
+ [gl_cv_func_fmaf_works=yes],
+ [gl_cv_func_fmaf_works=no],
+ [dnl Guess no, even on glibc systems.
+ gl_cv_func_fmaf_works="guessing no"
+ ])
+ ])
+ LIBS="$save_LIBS"
+])
+
+# Prerequisites of lib/fmaf.c.
+AC_DEFUN([gl_PREREQ_FMAF], [:])