aboutsummaryrefslogtreecommitdiff
path: root/math
diff options
context:
space:
mode:
authorJoseph Myers <joseph@codesourcery.com>2018-03-20 00:34:52 +0000
committerJoseph Myers <joseph@codesourcery.com>2018-03-20 00:34:52 +0000
commit8d3f9e85cfa14e5f82a0e9e934b9fe1e4cb342bf (patch)
treeccddc18ea0339991b035ced7e3d437516b7abca1 /math
parentd473f01520af910fbc7d61ed8504a8a35a1aa720 (diff)
downloadglibc-8d3f9e85cfa14e5f82a0e9e934b9fe1e4cb342bf.tar.xz
glibc-8d3f9e85cfa14e5f82a0e9e934b9fe1e4cb342bf.zip
Add narrowing subtract functions.
This patch adds the narrowing subtract functions from TS 18661-1 to glibc's libm: fsub, fsubl, dsubl, f32subf64, f32subf32x, f32xsubf64 for all configurations; f32subf64x, f32subf128, f64subf64x, f64subf128, f32xsubf64x, f32xsubf128, f64xsubf128 for configurations with _Float64x and _Float128; __nldbl_dsubl for ldbl-opt. The changes are essentially the same as for the narrowing add functions, so the description of those generally applies to this patch as well. Tested for x86_64, x86, mips64 (all three ABIs, both hard and soft float) and powerpc, and with build-many-glibcs.py. * math/Makefile (libm-narrow-fns): Add sub. (libm-test-funcs-narrow): Likewise. * math/Versions (GLIBC_2.28): Add narrowing subtract functions. * math/bits/mathcalls-narrow.h (sub): Use __MATHCALL_NARROW. * math/gen-auto-libm-tests.c (test_functions): Add sub. * math/math-narrow.h (CHECK_NARROW_SUB): New macro. (NARROW_SUB_ROUND_TO_ODD): Likewise. (NARROW_SUB_TRIVIAL): Likewise. * sysdeps/ieee754/float128/float128_private.h (__fsubl): New macro. (__dsubl): Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add fsub and dsub. (CFLAGS-nldbl-dsub.c): New variable. (CFLAGS-nldbl-fsub.c): Likewise. * sysdeps/ieee754/ldbl-opt/Versions (GLIBC_2.28): Add __nldbl_dsubl. * sysdeps/ieee754/ldbl-opt/nldbl-compat.h (__nldbl_dsubl): New prototype. * manual/arith.texi (Misc FP Arithmetic): Document fsub, fsubl, dsubl, fMsubfN, fMsubfNx, fMxsubfN and fMxsubfNx. * math/auto-libm-test-in: Add tests of sub. * math/auto-libm-test-out-narrow-sub: New generated file. * math/libm-test-narrow-sub.inc: New file. * sysdeps/i386/fpu/s_f32xsubf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_f32xsubf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_fsub.c: Likewise. * sysdeps/ieee754/float128/s_f32subf128.c: Likewise. * sysdeps/ieee754/float128/s_f64subf128.c: Likewise. * sysdeps/ieee754/float128/s_f64xsubf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_dsubl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_f64xsubf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fsubl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_dsubl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fsubl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_dsubl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fsubl.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-dsub.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-fsub.c: Likewise. * sysdeps/ieee754/soft-fp/s_dsubl.c: Likewise. * sysdeps/ieee754/soft-fp/s_fsub.c: Likewise. * sysdeps/ieee754/soft-fp/s_fsubl.c: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/mach/hurd/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/riscv/rv64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
Diffstat (limited to 'math')
-rw-r--r--math/Makefile4
-rw-r--r--math/Versions5
-rw-r--r--math/auto-libm-test-in95
-rw-r--r--math/auto-libm-test-out-narrow-sub23487
-rw-r--r--math/bits/mathcalls-narrow.h3
-rw-r--r--math/gen-auto-libm-tests.c1
-rw-r--r--math/libm-test-narrow-sub.inc179
-rw-r--r--math/math-narrow.h58
8 files changed, 23830 insertions, 2 deletions
diff --git a/math/Makefile b/math/Makefile
index 12dcedd7f7..7cc0d16b0c 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -89,7 +89,7 @@ libm-compat-calls = \
w_lgammaF_r_compat w_lgammaF_compat2 w_expF_compat \
w_lgamma_compatF k_standardF
-libm-narrow-fns = add
+libm-narrow-fns = add sub
libm-narrow-types-basic = s_fF s_f32xFf64
libm-narrow-types-ldouble-yes = s_fFl s_dFl
libm-narrow-types-float128-yes = s_f32Ff128 s_f64Ff128 s_f64xFf128
@@ -284,7 +284,7 @@ libm-test-funcs-noauto = canonicalize ceil cimag conj copysign cproj creal \
scalbln scalbn setpayload setpayloadsig signbit \
significand totalorder totalordermag trunc ufromfp \
ufromfpx
-libm-test-funcs-narrow = add
+libm-test-funcs-narrow = add sub
libm-test-funcs-all = $(libm-test-funcs-auto) $(libm-test-funcs-noauto)
libm-test-c-auto = $(foreach f,$(libm-test-funcs-auto),libm-test-$(f).c)
libm-test-c-noauto = $(foreach f,$(libm-test-funcs-noauto),libm-test-$(f).c)
diff --git a/math/Versions b/math/Versions
index 9191c0f648..87c7ff601c 100644
--- a/math/Versions
+++ b/math/Versions
@@ -555,9 +555,14 @@ libm {
# Functions not involving _Float64x or _Float128, for all configurations.
fadd; faddl; daddl;
f32addf32x; f32addf64; f32xaddf64;
+ fsub; fsubl; dsubl;
+ f32subf32x; f32subf64; f32xsubf64;
# Functions involving _Float64x or _Float128, for some configurations.
f32addf64x; f32addf128;
f32xaddf64x; f32xaddf128; f64addf64x; f64addf128;
f64xaddf128;
+ f32subf64x; f32subf128;
+ f32xsubf64x; f32xsubf128; f64subf64x; f64subf128;
+ f64xsubf128;
}
}
diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index fc407e9b90..bb3c325fec 100644
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -7195,6 +7195,101 @@ sinh 0x2.c5d37700c6bb03a8p+12 no-test-inline
sinh 0x2.c5d37700c6bb03a6c24b6c9b494cp+12 no-test-inline
sinh 0x2.c5d37700c6bb03a6c24b6c9b494ep+12 no-test-inline
+sub 0 0
+sub 0 -0
+sub -0 0
+sub -0 -0
+sub max max
+sub max -max
+sub -max max
+sub -max -max
+sub min min missing-underflow:arg-ibm128
+sub min -min missing-underflow:arg-ibm128
+sub -min min missing-underflow:arg-ibm128
+sub -min -min missing-underflow:arg-ibm128
+sub min_subnorm min_subnorm missing-underflow:arg-ibm128
+sub min_subnorm -min_subnorm missing-underflow:arg-ibm128
+sub -min_subnorm min_subnorm missing-underflow:arg-ibm128
+sub -min_subnorm -min_subnorm missing-underflow:arg-ibm128
+sub 1 2
+sub 1 -2
+sub -1 2
+sub -1 -2
+sub 100.5 0.75
+sub 100.5 -0.75
+sub -100.5 0.75
+sub -100.5 -0.75
+sub 1 0x1p-23
+sub 1 0x1.7fp-23
+sub 1 0x1.8p-23
+sub 1 0x1.81p-23
+sub 1 0x1p-24
+sub 1 0x1.1p-24
+sub 1 0x0.fp-24
+sub 1 min
+sub 1 -min
+sub 1 min_subnorm
+sub 1 -min_subnorm
+sub -1 min
+sub -1 -min
+sub -1 min_subnorm
+sub -1 -min_subnorm
+# Cases where larger argument is half way between two values of a
+# floating-point format, so that double rounding would sometimes yield
+# the wrong result.
+sub 0x1.000001p0 min
+sub 0x1.000001p0 -min
+sub 0x1.000001p0 min_subnorm
+sub 0x1.000001p0 -min_subnorm
+sub -0x1.000001p0 min
+sub -0x1.000001p0 -min
+sub -0x1.000001p0 min_subnorm
+sub -0x1.000001p0 -min_subnorm
+sub 0x1.00000000000008p0 min
+sub 0x1.00000000000008p0 -min
+sub 0x1.00000000000008p0 min_subnorm
+sub 0x1.00000000000008p0 -min_subnorm
+sub -0x1.00000000000008p0 min
+sub -0x1.00000000000008p0 -min
+sub -0x1.00000000000008p0 min_subnorm
+sub -0x1.00000000000008p0 -min_subnorm
+sub 0x1.0000000000000001p0 min
+sub 0x1.0000000000000001p0 -min
+sub 0x1.0000000000000001p0 min_subnorm
+sub 0x1.0000000000000001p0 -min_subnorm
+sub -0x1.0000000000000001p0 min
+sub -0x1.0000000000000001p0 -min
+sub -0x1.0000000000000001p0 min_subnorm
+sub -0x1.0000000000000001p0 -min_subnorm
+# Two values representable in the same format with difference very
+# close to half way between two representable values. In particular,
+# verify that there is no intermediate rounding to 64 bits when
+# subtracting two double values.
+sub 1 0x1.000002p-24
+sub 1 -0x1.000002p-24
+sub 1 0x0.ffffffp-24
+sub 1 -0x0.ffffffp-24
+sub 0x1.000002p0 0x1.000002p-24
+sub 0x1.000002p0 -0x1.000002p-24
+sub 0x1.000002p0 0x0.ffffffp-24
+sub 0x1.000002p0 -0x0.ffffffp-24
+sub 1 0x1.0000000000001p-53
+sub 1 -0x1.0000000000001p-53
+sub 1 0x0.fffffffffffff8p-53
+sub 1 -0x0.fffffffffffff8p-53
+sub 0x1.0000000000001p0 0x1.0000000000001p-53
+sub 0x1.0000000000001p0 -0x1.0000000000001p-53
+sub 0x1.0000000000001p0 0x0.fffffffffffff8p-53
+sub 0x1.0000000000001p0 -0x0.fffffffffffff8p-53
+sub 1 0x1.0000000000000002p-64
+sub 1 -0x1.0000000000000002p-64
+sub 1 0x0.ffffffffffffffffp-64
+sub 1 -0x0.ffffffffffffffffp-64
+sub 0x1.0000000000000002p0 0x1.0000000000000002p-64
+sub 0x1.0000000000000002p0 -0x1.0000000000000002p-64
+sub 0x1.0000000000000002p0 0x0.ffffffffffffffffp-64
+sub 0x1.0000000000000002p0 -0x0.ffffffffffffffffp-64
+
sqrt 0
sqrt -0
sqrt 2209
diff --git a/math/auto-libm-test-out-narrow-sub b/math/auto-libm-test-out-narrow-sub
new file mode 100644
index 0000000000..32b9abde6f
--- /dev/null
+++ b/math/auto-libm-test-out-narrow-sub
@@ -0,0 +1,23487 @@
+sub 0 0
+= sub downward binary32:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest binary32:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub towardzero binary32:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub upward binary32:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub downward binary64:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest binary64:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub towardzero binary64:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub upward binary64:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub downward intel96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest intel96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub towardzero intel96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub upward intel96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub downward m68k96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest m68k96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub towardzero m68k96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub upward m68k96:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub downward binary128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest binary128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub towardzero binary128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub upward binary128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub downward ibm128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest ibm128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub towardzero ibm128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+= sub upward ibm128:arg_fmt(0,0,0,0) 0x0p+0 0x0p+0 : 0x0p+0 :
+sub 0 -0
+= sub downward binary32:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub tonearest binary32:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero binary32:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward binary32:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward binary64:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub tonearest binary64:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero binary64:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward binary64:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward intel96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub tonearest intel96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero intel96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward intel96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward m68k96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub tonearest m68k96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero m68k96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward m68k96:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward binary128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub tonearest binary128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero binary128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward binary128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward ibm128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub tonearest ibm128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero ibm128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward ibm128:arg_fmt(0,0,0,0) 0x0p+0 -0x0p+0 : 0x0p+0 :
+sub -0 0
+= sub downward binary32:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest binary32:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub towardzero binary32:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub upward binary32:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub downward binary64:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest binary64:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub towardzero binary64:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub upward binary64:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub downward intel96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest intel96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub towardzero intel96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub upward intel96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub downward m68k96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest m68k96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub towardzero m68k96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub upward m68k96:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub downward binary128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest binary128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub towardzero binary128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub upward binary128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub downward ibm128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub tonearest ibm128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub towardzero ibm128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+= sub upward ibm128:arg_fmt(0,0,0,0) -0x0p+0 0x0p+0 : -0x0p+0 :
+sub -0 -0
+= sub downward binary32:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : -0x0p+0 :
+= sub tonearest binary32:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero binary32:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward binary32:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward binary64:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : -0x0p+0 :
+= sub tonearest binary64:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero binary64:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward binary64:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward intel96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : -0x0p+0 :
+= sub tonearest intel96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero intel96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward intel96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward m68k96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : -0x0p+0 :
+= sub tonearest m68k96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero m68k96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward m68k96:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward binary128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : -0x0p+0 :
+= sub tonearest binary128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero binary128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward binary128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub downward ibm128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : -0x0p+0 :
+= sub tonearest ibm128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub towardzero ibm128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+= sub upward ibm128:arg_fmt(0,0,0,0) -0x0p+0 -0x0p+0 : 0x0p+0 :
+sub max max
+= sub downward binary32:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : -0x0p+0 :
+= sub tonearest binary32:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub towardzero binary32:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub upward binary32:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub downward binary64:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : -0x0p+0 :
+= sub tonearest binary64:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub towardzero binary64:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub upward binary64:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub downward intel96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : -0x0p+0 :
+= sub tonearest intel96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub towardzero intel96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub upward intel96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub downward m68k96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : -0x0p+0 :
+= sub tonearest m68k96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub towardzero m68k96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub upward m68k96:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub downward binary128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : -0x0p+0 :
+= sub tonearest binary128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub towardzero binary128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub upward binary128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub downward ibm128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : -0x0p+0 :
+= sub tonearest ibm128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub towardzero ibm128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub upward ibm128:arg_fmt(127,24,104,24) 0xf.fffffp+124 0xf.fffffp+124 : 0x0p+0 :
+= sub downward binary32:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : minus_infty : inexact overflow errno-erange
+= sub tonearest binary32:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : minus_infty : inexact overflow errno-erange
+= sub towardzero binary32:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.fffffp+124 : inexact overflow errno-erange-ok
+= sub upward binary32:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.fffffp+124 : inexact overflow errno-erange-ok
+= sub downward binary64:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub tonearest binary64:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub towardzero binary64:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffffp+1020 : inexact
+= sub upward binary64:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffffp+1020 : inexact
+= sub downward intel96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub tonearest intel96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub towardzero intel96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffp+1020 : inexact
+= sub upward intel96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffp+1020 : inexact
+= sub downward m68k96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub tonearest m68k96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub towardzero m68k96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffp+1020 : inexact
+= sub upward m68k96:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffp+1020 : inexact
+= sub downward binary128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub tonearest binary128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub towardzero binary128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffffffffffffff8p+1020 : inexact
+= sub upward binary128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffffffffffffff8p+1020 : inexact
+= sub downward ibm128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub tonearest ibm128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff8p+1020 : inexact
+= sub towardzero ibm128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffffffffffffcp+1020 : inexact
+= sub upward ibm128:arg_fmt(1023,53,104,53) 0xf.fffffp+124 0xf.ffffffffffff8p+1020 : -0xf.ffffffffffff7ffffffffffffcp+1020 : inexact
+= sub downward binary32:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : minus_infty : inexact overflow errno-erange
+= sub tonearest binary32:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero binary32:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffp+124 : inexact overflow errno-erange-ok
+= sub upward binary32:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffp+124 : inexact overflow errno-erange-ok
+= sub downward binary64:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : minus_infty : inexact overflow errno-erange
+= sub tonearest binary64:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero binary64:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffff8p+1020 : inexact overflow errno-erange-ok
+= sub upward binary64:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffff8p+1020 : inexact overflow errno-erange-ok
+= sub downward intel96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub tonearest intel96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub towardzero intel96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffffep+16380 : inexact
+= sub upward intel96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffffep+16380 : inexact
+= sub downward m68k96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub tonearest m68k96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub towardzero m68k96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffffep+16380 : inexact
+= sub upward m68k96:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffffep+16380 : inexact
+= sub downward binary128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub tonearest binary128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub towardzero binary128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffffeffffffffffff8p+16380 : inexact
+= sub upward binary128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffffeffffffffffff8p+16380 : inexact
+= sub downward ibm128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : minus_infty : xfail:ibm128-libgcc inexact overflow errno-erange
+= sub tonearest ibm128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero ibm128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffbffffffffffffcp+1020 : xfail:ibm128-libgcc inexact overflow errno-erange-ok
+= sub upward ibm128:arg_fmt(16383,64,104,64) 0xf.fffffp+124 0xf.fffffffffffffffp+16380 : -0xf.ffffffffffffbffffffffffffcp+1020 : xfail:ibm128-libgcc inexact overflow errno-erange-ok
+= sub downward binary32:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub tonearest binary32:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero binary32:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffp+124 : inexact overflow errno-erange-ok
+= sub upward binary32:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffp+124 : inexact overflow errno-erange-ok
+= sub downward binary64:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub tonearest binary64:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero binary64:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.ffffffffffff8p+1020 : inexact overflow errno-erange-ok
+= sub upward binary64:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.ffffffffffff8p+1020 : inexact overflow errno-erange-ok
+= sub downward intel96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub tonearest intel96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero intel96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub upward intel96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub downward m68k96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub tonearest m68k96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero m68k96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub upward m68k96:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffp+16380 : inexact
+= sub downward binary128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffffffffffffff8p+16380 : inexact
+= sub tonearest binary128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffffffffffffff8p+16380 : inexact
+= sub towardzero binary128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffffffffffffffp+16380 : inexact
+= sub upward binary128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.fffffffffffffffffffffffffffp+16380 : inexact
+= sub downward ibm128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : xfail:ibm128-libgcc inexact overflow errno-erange
+= sub tonearest ibm128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : minus_infty : inexact overflow errno-erange
+= sub towardzero ibm128:arg_fmt(16383,113,104,113) 0xf.fffffp+124 0xf.fffffffffffffffffffffffffff8p+16380 : -0xf.ffffffffffffbffffffffffffcp+1020 : xfail:ibm128-libgcc inexact overflow errno-erange-ok
+= sub upward i