diff options
Diffstat (limited to 'math')
| -rw-r--r-- | math/Makefile | 4 | ||||
| -rw-r--r-- | math/Versions | 5 | ||||
| -rw-r--r-- | math/auto-libm-test-in | 74 | ||||
| -rw-r--r-- | math/auto-libm-test-out-narrow-div | 21391 | ||||
| -rw-r--r-- | math/bits/mathcalls-narrow.h | 3 | ||||
| -rw-r--r-- | math/gen-auto-libm-tests.c | 1 | ||||
| -rw-r--r-- | math/libm-test-narrow-div.inc | 197 | ||||
| -rw-r--r-- | math/math-narrow.h | 53 |
8 files changed, 21726 insertions, 2 deletions
diff --git a/math/Makefile b/math/Makefile index 892008fd40..23574f5e09 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 mul sub +libm-narrow-fns = add div mul 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 mul sub +libm-test-funcs-narrow = add div mul 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 edf0daa019..b5a2500712 100644 --- a/math/Versions +++ b/math/Versions @@ -555,6 +555,8 @@ libm { # Functions not involving _Float64x or _Float128, for all configurations. fadd; faddl; daddl; f32addf32x; f32addf64; f32xaddf64; + fdiv; fdivl; ddivl; + f32divf32x; f32divf64; f32xdivf64; fmul; fmull; dmull; f32mulf32x; f32mulf64; f32xmulf64; fsub; fsubl; dsubl; @@ -563,6 +565,9 @@ libm { f32addf64x; f32addf128; f32xaddf64x; f32xaddf128; f64addf64x; f64addf128; f64xaddf128; + f32divf64x; f32divf128; + f32xdivf64x; f32xdivf128; f64divf64x; f64divf128; + f64xdivf128; f32mulf64x; f32mulf128; f32xmulf64x; f32xmulf128; f64mulf64x; f64mulf128; f64xmulf128; diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in index d102b99e23..785328562f 100644 --- a/math/auto-libm-test-in +++ b/math/auto-libm-test-in @@ -4758,6 +4758,80 @@ ctanh -min 0 ctanh min_subnorm 0 ctanh -min_subnorm 0 +div 0 min +div 0 -min +div 0 min_subnorm +div 0 -min_subnorm +div 0 max +div 0 -max +div -0 min +div -0 -min +div -0 min_subnorm +div -0 -min_subnorm +div -0 max +div -0 -max +div max max xfail:ibm128-libgcc +div max -max xfail:ibm128-libgcc +div -max max xfail:ibm128-libgcc +div -max -max xfail:ibm128-libgcc +div min min +div min -min +div -min min +div -min -min +div min_subnorm min_subnorm +div min_subnorm -min_subnorm +div -min_subnorm min_subnorm +div -min_subnorm -min_subnorm +div max min xfail-rounding:ibm128-libgcc +div max -min xfail-rounding:ibm128-libgcc +div -max min xfail-rounding:ibm128-libgcc +div -max -min xfail-rounding:ibm128-libgcc +div max min_subnorm xfail-rounding:ibm128-libgcc +div max -min_subnorm xfail-rounding:ibm128-libgcc +div -max min_subnorm xfail-rounding:ibm128-libgcc +div -max -min_subnorm xfail-rounding:ibm128-libgcc +div min max xfail-rounding:ibm128-libgcc +div min -max xfail-rounding:ibm128-libgcc +div -min max xfail-rounding:ibm128-libgcc +div -min -max xfail-rounding:ibm128-libgcc +div min_subnorm max xfail-rounding:ibm128-libgcc +div min_subnorm -max xfail-rounding:ibm128-libgcc +div -min_subnorm max xfail-rounding:ibm128-libgcc +div -min_subnorm -max xfail-rounding:ibm128-libgcc +div 1 2 +div 1 -2 +div -1 2 +div -1 -2 +div 100.5 0.75 +div 100.5 -0.75 +div -100.5 0.75 +div -100.5 -0.75 + +# Cases where the ratio of two values in a wider format is very close +# to half way between two representable values in a narrower format, +# so that double rounding would sometimes yield the wrong result. For +# a narrower format of width a and a wider format of width w, take +# b = w - a; these examples are of the form +# (1 + 2^-a + 2^-b + 2^(1-w)) / (1 + 2^-b). These examples have +# ratios of the form (1 + 2^-a) to the width of the wider format, but +# the mathematical value is slightly greater, so that rounding once +# should round the result up but double rounding would wrongly round +# the result down. +# a = 24, w = 53. +div 0x1.0000010800001p0 0x1.00000008p0 +# a = 24, w = 64. +div 0x1.0000010001000002p0 0x1.0000000001p0 +# a = 24, w = 113. +div 0x1.0000010000000000000000800001p0 0x1.00000000000000000000008p0 +# a = 53, w = 64. +div 0x1.0020000000000802p0 0x1.002p0 +# a = 53, w = 113. +div 0x1.0000000000000810000000000001p0 0x1.000000000000001p0 +# a = 64, w = 113. +div 0x1.0000000000008001000000000001p0 0x1.0000000000008p0 +# Similar, for double rounding to 64-bit of a division of 53-bit values. +div 0x1ffe1p0 0xfffp0 + erf 0 erf -0 erf 0.125 diff --git a/math/auto-libm-test-out-narrow-div b/math/auto-libm-test-out-narrow-div new file mode 100644 index 0000000000..a0ad670a22 --- /dev/null +++ b/math/auto-libm-test-out-narrow-div @@ -0,0 +1,21391 @@ +div 0 min += div downward binary32:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div tonearest binary32:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div towardzero binary32:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div upward binary32:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div downward binary64:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div tonearest binary64:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div towardzero binary64:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div upward binary64:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div downward intel96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div tonearest intel96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div towardzero intel96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div upward intel96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div downward m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div upward m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div downward binary128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div tonearest binary128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div towardzero binary128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div upward binary128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div downward ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div upward ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 0x4p-128 : 0x0p+0 : += div downward binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div tonearest binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div towardzero binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div upward binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div downward binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div tonearest binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div towardzero binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div upward binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div downward intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div tonearest intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div towardzero intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div upward intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div downward m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div upward m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div downward binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div tonearest binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div towardzero binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div upward binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div downward ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div upward ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 0x4p-1024 : 0x0p+0 : += div downward binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div tonearest binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div towardzero binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div upward binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div downward binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div tonearest binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div towardzero binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div upward binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div downward intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div tonearest intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div towardzero intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div upward intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div downward m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div upward m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div downward binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div tonearest binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div towardzero binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div upward binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div downward ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div upward ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 0x4p-16384 : 0x0p+0 : += div downward binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div tonearest binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div towardzero binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div upward binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div downward binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div tonearest binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div towardzero binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div upward binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div downward intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div tonearest intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div towardzero intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div upward intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div downward m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div upward m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div downward binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div tonearest binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div towardzero binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div upward binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div downward ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div upward ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 0x2p-16384 : 0x0p+0 : += div downward binary32:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div tonearest binary32:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div towardzero binary32:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div upward binary32:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div downward binary64:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div tonearest binary64:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div towardzero binary64:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div upward binary64:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div downward intel96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div tonearest intel96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div towardzero intel96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div upward intel96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div downward m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div upward m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div downward binary128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div tonearest binary128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div towardzero binary128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div upward binary128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div downward ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : += div upward ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 0x8p-972 : 0x0p+0 : +div 0 -min += div downward binary32:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div tonearest binary32:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div towardzero binary32:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div upward binary32:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div downward binary64:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div tonearest binary64:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div towardzero binary64:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div upward binary64:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div downward intel96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div tonearest intel96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div towardzero intel96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div upward intel96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div downward m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div tonearest m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div towardzero m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div upward m68k96:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div downward binary128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div tonearest binary128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div towardzero binary128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div upward binary128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div downward ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div tonearest ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div towardzero ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div upward ibm128:arg_fmt(-126,1,-126,1) 0x0p+0 -0x4p-128 : -0x0p+0 : += div downward binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div tonearest binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div towardzero binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div upward binary32:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div downward binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div tonearest binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div towardzero binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div upward binary64:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div downward intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div tonearest intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div towardzero intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div upward intel96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div downward m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div tonearest m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div towardzero m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div upward m68k96:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div downward binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div tonearest binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div towardzero binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div upward binary128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div downward ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div tonearest ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div towardzero ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div upward ibm128:arg_fmt(-1022,1,-1022,1) 0x0p+0 -0x4p-1024 : -0x0p+0 : += div downward binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div tonearest binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div towardzero binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div upward binary32:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div downward binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div tonearest binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div towardzero binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div upward binary64:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div downward intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div tonearest intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div towardzero intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div upward intel96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div downward m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div tonearest m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div towardzero m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div upward m68k96:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div downward binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div tonearest binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div towardzero binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div upward binary128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div downward ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div tonearest ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div towardzero ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div upward ibm128:arg_fmt(-16382,1,-16382,1) 0x0p+0 -0x4p-16384 : -0x0p+0 : += div downward binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div tonearest binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div towardzero binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div upward binary32:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div downward binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div tonearest binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div towardzero binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div upward binary64:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div downward intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div tonearest intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div towardzero intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div upward intel96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div downward m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div tonearest m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div towardzero m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div upward m68k96:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div downward binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div tonearest binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div towardzero binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div upward binary128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div downward ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div tonearest ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div towardzero ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div upward ibm128:arg_fmt(-16383,1,-16383,1) 0x0p+0 -0x2p-16384 : -0x0p+0 : += div downward binary32:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div tonearest binary32:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div towardzero binary32:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div upward binary32:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div downward binary64:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div tonearest binary64:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div towardzero binary64:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div upward binary64:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div downward intel96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div tonearest intel96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div towardzero intel96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div upward intel96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div downward m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div tonearest m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div towardzero m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div upward m68k96:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div downward binary128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div tonearest binary128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div towardzero binary128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div upward binary128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div downward ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div tonearest ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div towardzero ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : += div upward ibm128:arg_fmt(-969,1,-969,1) 0x0p+0 -0x8p-972 : -0x0p+0 : +div 0 min_subnorm += div downward binary32:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div tonearest binary32:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div towardzero binary32:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div upward binary32:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div downward binary64:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div tonearest binary64:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div towardzero binary64:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div upward binary64:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div downward intel96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div tonearest intel96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div towardzero intel96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div upward intel96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div downward m68k96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div upward m68k96:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div downward binary128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div tonearest binary128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div towardzero binary128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div upward binary128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div downward ibm128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div upward ibm128:arg_fmt(-149,1,-149,1) 0x0p+0 0x8p-152 : 0x0p+0 : += div downward binary32:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div tonearest binary32:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div towardzero binary32:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div upward binary32:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div downward binary64:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div tonearest binary64:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div towardzero binary64:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div upward binary64:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div downward intel96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div tonearest intel96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div towardzero intel96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div upward intel96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div downward m68k96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div tonearest m68k96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div towardzero m68k96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div upward m68k96:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div downward binary128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div tonearest binary128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div towardzero binary128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div upward binary128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div downward ibm128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div tonearest ibm128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div towardzero ibm128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div upward ibm128:arg_fmt(-1074,1,-1074,1) 0x0p+0 0x4p-1076 : 0x0p+0 : += div downward binary32:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div tonearest binary32:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div towardzero binary32:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div upward binary32:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div downward binary64:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div tonearest binary64:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div towardzero binary64:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div upward binary64:arg_fmt(-16445,1,-16445,1) 0x0p+0 0x8p-16448 : 0x0p+0 : += div |