math: Add inputs that yield larger errors for float type (x86_64)

The corner cases included were generated using exhaustive search
for all float/binary32 values on x86_64 (comparing to MPFR for
correct rounding to nearest).

For the j0/j1/y0 functions, only cases with ulp error <= 9 were
included.

Reviewed-by: Carlos O'Donell <carlos@redhat.com>
This commit is contained in:
Paul Zimmermann 2020-03-30 15:55:55 +02:00 committed by Carlos O'Donell
parent 49c3c37651
commit a9d42c09a3
15 changed files with 388 additions and 59 deletions

View File

@ -371,6 +371,8 @@ asinh -0x6.e26358p-4
asinh 0x6.c92c08p-4 asinh 0x6.c92c08p-4
asinh 0x1p-500 asinh 0x1p-500
asinh 0x1p-5000 asinh 0x1p-5000
# the next value generates larger error bounds on x86_64 (binary32)
asinh 0xf.96c69p-8
asinh min asinh min
asinh -min asinh -min
asinh min_subnorm asinh min_subnorm
@ -4421,6 +4423,8 @@ cos 0x3.042d88p+0
cos 0x1.8475e5afd4481p+0 cos 0x1.8475e5afd4481p+0
cos 1.57079697 cos 1.57079697
cos -1.57079697 cos -1.57079697
# the next value generates larger error bounds on x86_64 (binary32)
cos 0x2.3c6ef4p-12
cosh 0 cosh 0
cosh -0 cosh -0
@ -4482,6 +4486,8 @@ cosh 0x2.c5d37700c6bb03a6c24b6c9b494cp+12
cosh 0x2.c5d37700c6bb03a6c24b6c9b494ep+12 cosh 0x2.c5d37700c6bb03a6c24b6c9b494ep+12
cosh -0x2.c5d37700c6bb03a6c24b6c9b494cp+12 cosh -0x2.c5d37700c6bb03a6c24b6c9b494cp+12
cosh -0x2.c5d37700c6bb03a6c24b6c9b494ep+12 cosh -0x2.c5d37700c6bb03a6c24b6c9b494ep+12
# the next value generates larger error bounds on x86_64 (binary32)
cosh 0x5.8bfe6p+4
cpow 1 0 0 0 ignore-zero-inf-sign cpow 1 0 0 0 ignore-zero-inf-sign
cpow 2 0 10 0 ignore-zero-inf-sign cpow 2 0 10 0 ignore-zero-inf-sign
@ -4982,6 +4988,8 @@ erfc 0x6.a8a0561d8bbe942p+4
erfc 0x6.a8a0561d8bbe9428p+4 erfc 0x6.a8a0561d8bbe9428p+4
erfc 0x6.a893032db905274042fb05c665dcp+4 erfc 0x6.a893032db905274042fb05c665dcp+4
erfc 0x6.a893032db905274042fb05c665ep+4 erfc 0x6.a893032db905274042fb05c665ep+4
# the next value generates larger error bounds on x86_64 (binary32)
erfc 0xd.03d06p-4
erfc min erfc min
erfc -min erfc -min
erfc min_subnorm erfc min_subnorm
@ -5096,6 +5104,8 @@ exp 0x3.248524p+0
exp 0x1.f0b362p+0 exp 0x1.f0b362p+0
exp 0xd.89746a799ac4eedp+0 exp 0xd.89746a799ac4eedp+0
exp -0x6.58b64p-4 exp -0x6.58b64p-4
# the next value generates larger error bounds on x86_64 (binary32)
exp 0x1.fefe02p-16
exp10 0 exp10 0
exp10 -0 exp10 -0
@ -5159,6 +5169,8 @@ exp10 0x1.34413509f79fef311f12b35816f9p+12
exp10 0x1.34413509f79fef311f12b35816fap+12 exp10 0x1.34413509f79fef311f12b35816fap+12
exp10 -0x1.343793004f503231a589bac27c39p+12 exp10 -0x1.343793004f503231a589bac27c39p+12
exp10 -0x1.343793004f503231a589bac27c38p+12 exp10 -0x1.343793004f503231a589bac27c38p+12
# the next value generates larger error bounds on x86_64 (binary32)
exp10 -0xa.6f431p+0
exp10 min exp10 min
exp10 -min exp10 -min
exp10 min_subnorm exp10 min_subnorm
@ -5734,6 +5746,8 @@ j0 -0x1.001000001p+593
j0 0x1p1023 j0 0x1p1023
j0 0x1p16382 j0 0x1p16382
j0 0x1p16383 j0 0x1p16383
# the next value generates larger error bounds on x86_64 (binary32)
j0 0x2.602774p+0
j1 -1.0 j1 -1.0
j1 0.0 j1 0.0
@ -5765,6 +5779,8 @@ j1 0x1p-60
j1 0x1p-100 j1 0x1p-100
j1 0x1p-600 j1 0x1p-600
j1 0x1p-10000 j1 0x1p-10000
# the next value generates larger error bounds on x86_64 (binary32)
j1 0x3.ae4b2p+0
j1 min j1 min
j1 -min j1 -min
j1 min_subnorm j1 min_subnorm
@ -5903,6 +5919,8 @@ lgamma 0x1p-16445
lgamma -0x1p-16445 lgamma -0x1p-16445
lgamma 0x1p-16494 lgamma 0x1p-16494
lgamma -0x1p-16494 lgamma -0x1p-16494
# the next value generates larger error bounds on x86_64 (binary32)
lgamma -0x3.ec4298p+0
# Values +/- 10ulp from overflow threshold. (Values very close to # Values +/- 10ulp from overflow threshold. (Values very close to
# overflow threshold produce results very close of that threshold, # overflow threshold produce results very close of that threshold,
@ -7205,6 +7223,8 @@ sin 0x6.287cc8749212e72p+0
sin -0x1.02e34cp+0 sin -0x1.02e34cp+0
sin 0xf.f0274p+4 sin 0xf.f0274p+4
sin 0x3.042d88p+0 sin 0x3.042d88p+0
# the next value generates larger error bounds on x86_64 (binary32)
sin 0x1.d12ed2p-12
sin max sin max
sin -max sin -max
sin min sin min
@ -8159,6 +8179,8 @@ tgamma -0xa.ccfcep+0
tgamma -0x9.418c8p+0 tgamma -0x9.418c8p+0
tgamma -0x6.ce9158p+0 tgamma -0x6.ce9158p+0
tgamma -0xd.cbf53d0e7d06p+0 tgamma -0xd.cbf53d0e7d06p+0
# the next value generates larger error bounds on x86_64 (binary32)
tgamma -0x3.0aa534p+0
y0 0.125 y0 0.125
y0 0.75 y0 0.75
@ -8185,6 +8207,8 @@ y0 0x1p-100
y0 0x1p-110 y0 0x1p-110
y0 0x1p-600 y0 0x1p-600
y0 0x1p-10000 y0 0x1p-10000
# the next value generates larger error bounds on x86_64 (binary32)
y0 0xd.3432bp-4
y0 min y0 min
y0 min_subnorm y0 min_subnorm

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@ -2506,6 +2506,31 @@ asinh 0x1p-5000
= asinh tonearest binary128 0x1p-5000 : 0x1p-5000 : inexact-ok = asinh tonearest binary128 0x1p-5000 : 0x1p-5000 : inexact-ok
= asinh towardzero binary128 0x1p-5000 : 0xf.fffffffffffffffffffffffffff8p-5004 : inexact-ok = asinh towardzero binary128 0x1p-5000 : 0xf.fffffffffffffffffffffffffff8p-5004 : inexact-ok
= asinh upward binary128 0x1p-5000 : 0x1p-5000 : inexact-ok = asinh upward binary128 0x1p-5000 : 0x1p-5000 : inexact-ok
asinh 0xf.96c69p-8
= asinh downward binary32 0xf.96c69p-8 : 0xf.94503p-8 : inexact-ok
= asinh tonearest binary32 0xf.96c69p-8 : 0xf.94504p-8 : inexact-ok
= asinh towardzero binary32 0xf.96c69p-8 : 0xf.94503p-8 : inexact-ok
= asinh upward binary32 0xf.96c69p-8 : 0xf.94504p-8 : inexact-ok
= asinh downward binary64 0xf.96c69p-8 : 0xf.94503821fcc68p-8 : inexact-ok
= asinh tonearest binary64 0xf.96c69p-8 : 0xf.94503821fcc68p-8 : inexact-ok
= asinh towardzero binary64 0xf.96c69p-8 : 0xf.94503821fcc68p-8 : inexact-ok
= asinh upward binary64 0xf.96c69p-8 : 0xf.94503821fcc7p-8 : inexact-ok
= asinh downward intel96 0xf.96c69p-8 : 0xf.94503821fcc6aeap-8 : inexact-ok
= asinh tonearest intel96 0xf.96c69p-8 : 0xf.94503821fcc6aebp-8 : inexact-ok
= asinh towardzero intel96 0xf.96c69p-8 : 0xf.94503821fcc6aeap-8 : inexact-ok
= asinh upward intel96 0xf.96c69p-8 : 0xf.94503821fcc6aebp-8 : inexact-ok
= asinh downward m68k96 0xf.96c69p-8 : 0xf.94503821fcc6aeap-8 : inexact-ok
= asinh tonearest m68k96 0xf.96c69p-8 : 0xf.94503821fcc6aebp-8 : inexact-ok
= asinh towardzero m68k96 0xf.96c69p-8 : 0xf.94503821fcc6aeap-8 : inexact-ok
= asinh upward m68k96 0xf.96c69p-8 : 0xf.94503821fcc6aebp-8 : inexact-ok
= asinh downward binary128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d4935p-8 : inexact-ok
= asinh tonearest binary128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d4935p-8 : inexact-ok
= asinh towardzero binary128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d4935p-8 : inexact-ok
= asinh upward binary128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d49358p-8 : inexact-ok
= asinh downward ibm128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d49p-8 : inexact-ok
= asinh tonearest ibm128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d494p-8 : inexact-ok
= asinh towardzero ibm128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d49p-8 : inexact-ok
= asinh upward ibm128 0xf.96c69p-8 : 0xf.94503821fcc6aead1cad28d494p-8 : inexact-ok
asinh min asinh min
= asinh downward binary32 0x4p-128 : 0x3.fffff8p-128 : inexact-ok underflow-ok errno-erange-ok = asinh downward binary32 0x4p-128 : 0x3.fffff8p-128 : inexact-ok underflow-ok errno-erange-ok
= asinh tonearest binary32 0x4p-128 : 0x4p-128 : inexact-ok underflow-ok errno-erange-ok = asinh tonearest binary32 0x4p-128 : 0x4p-128 : inexact-ok underflow-ok errno-erange-ok

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@ -3223,3 +3223,28 @@ cos -1.57079697
= cos tonearest ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab44p-24 : inexact-ok = cos tonearest ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab44p-24 : inexact-ok
= cos towardzero ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab4p-24 : inexact-ok = cos towardzero ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab4p-24 : inexact-ok
= cos upward ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab4p-24 : inexact-ok = cos upward ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab4p-24 : inexact-ok
cos 0x2.3c6ef4p-12
= cos downward binary32 0x2.3c6ef4p-12 : 0xf.ffffdp-4 : inexact-ok
= cos tonearest binary32 0x2.3c6ef4p-12 : 0xf.ffffdp-4 : inexact-ok
= cos towardzero binary32 0x2.3c6ef4p-12 : 0xf.ffffdp-4 : inexact-ok
= cos upward binary32 0x2.3c6ef4p-12 : 0xf.ffffep-4 : inexact-ok
= cos downward binary64 0x2.3c6ef4p-12 : 0xf.ffffd7fffffc8p-4 : inexact-ok
= cos tonearest binary64 0x2.3c6ef4p-12 : 0xf.ffffd7fffffdp-4 : inexact-ok
= cos towardzero binary64 0x2.3c6ef4p-12 : 0xf.ffffd7fffffc8p-4 : inexact-ok
= cos upward binary64 0x2.3c6ef4p-12 : 0xf.ffffd7fffffdp-4 : inexact-ok
= cos downward intel96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5ep-4 : inexact-ok
= cos tonearest intel96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5ep-4 : inexact-ok
= cos towardzero intel96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5ep-4 : inexact-ok
= cos upward intel96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5fp-4 : inexact-ok
= cos downward m68k96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5ep-4 : inexact-ok
= cos tonearest m68k96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5ep-4 : inexact-ok
= cos towardzero m68k96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5ep-4 : inexact-ok
= cos upward m68k96 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5fp-4 : inexact-ok
= cos downward binary128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68fp-4 : inexact-ok
= cos tonearest binary128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68fp-4 : inexact-ok
= cos towardzero binary128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68fp-4 : inexact-ok
= cos upward binary128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68f8p-4 : inexact-ok
= cos downward ibm128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68p-4 : inexact-ok
= cos tonearest ibm128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68p-4 : inexact-ok
= cos towardzero ibm128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e68p-4 : inexact-ok
= cos upward ibm128 0x2.3c6ef4p-12 : 0xf.ffffd7fffffcf5e6384f874e6cp-4 : inexact-ok

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@ -3385,3 +3385,28 @@ cosh -0x2.c5d37700c6bb03a6c24b6c9b494ep+12
= cosh tonearest ibm128 -0x2.c5d37700c6bb03a6c24b6c9b4ap+12 : plus_infty : inexact-ok overflow errno-erange = cosh tonearest ibm128 -0x2.c5d37700c6bb03a6c24b6c9b4ap+12 : plus_infty : inexact-ok overflow errno-erange
= cosh towardzero ibm128 -0x2.c5d37700c6bb03a6c24b6c9b4ap+12 : 0xf.ffffffffffffbffffffffffffcp+1020 : xfail:ibm128-libgcc inexact-ok overflow errno-erange-ok = cosh towardzero ibm128 -0x2.c5d37700c6bb03a6c24b6c9b4ap+12 : 0xf.ffffffffffffbffffffffffffcp+1020 : xfail:ibm128-libgcc inexact-ok overflow errno-erange-ok
= cosh upward ibm128 -0x2.c5d37700c6bb03a6c24b6c9b4ap+12 : plus_infty : xfail:ibm128-libgcc inexact-ok overflow errno-erange = cosh upward ibm128 -0x2.c5d37700c6bb03a6c24b6c9b4ap+12 : plus_infty : xfail:ibm128-libgcc inexact-ok overflow errno-erange
cosh 0x5.8bfe6p+4
= cosh downward binary32 0x5.8bfe6p+4 : 0x8.378d9p+124 : inexact-ok
= cosh tonearest binary32 0x5.8bfe6p+4 : 0x8.378d9p+124 : inexact-ok
= cosh towardzero binary32 0x5.8bfe6p+4 : 0x8.378d9p+124 : inexact-ok
= cosh upward binary32 0x5.8bfe6p+4 : 0x8.378dap+124 : inexact-ok
= cosh downward binary64 0x5.8bfe6p+4 : 0x8.378d97e8a9838p+124 : inexact-ok
= cosh tonearest binary64 0x5.8bfe6p+4 : 0x8.378d97e8a9838p+124 : inexact-ok
= cosh towardzero binary64 0x5.8bfe6p+4 : 0x8.378d97e8a9838p+124 : inexact-ok
= cosh upward binary64 0x5.8bfe6p+4 : 0x8.378d97e8a984p+124 : inexact-ok
= cosh downward intel96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8p+124 : inexact-ok
= cosh tonearest intel96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8p+124 : inexact-ok
= cosh towardzero intel96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8p+124 : inexact-ok
= cosh upward intel96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b9p+124 : inexact-ok
= cosh downward m68k96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8p+124 : inexact-ok
= cosh tonearest m68k96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8p+124 : inexact-ok
= cosh towardzero m68k96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8p+124 : inexact-ok
= cosh upward m68k96 0x5.8bfe6p+4 : 0x8.378d97e8a9838b9p+124 : inexact-ok
= cosh downward binary128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b93a68p+124 : inexact-ok
= cosh tonearest binary128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b93a68p+124 : inexact-ok
= cosh towardzero binary128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b93a68p+124 : inexact-ok
= cosh upward binary128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b93a7p+124 : inexact-ok
= cosh downward ibm128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b938p+124 : inexact-ok
= cosh tonearest ibm128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b93cp+124 : inexact-ok
= cosh towardzero ibm128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b938p+124 : inexact-ok
= cosh upward ibm128 0x5.8bfe6p+4 : 0x8.378d97e8a9838b8164de61b93cp+124 : inexact-ok

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@ -2860,6 +2860,31 @@ erfc 0x6.a893032db905274042fb05c665ep+4
= erfc tonearest ibm128 0x6.a893032db905274042fb05c664p+4 : 0x0p+0 : inexact-ok underflow errno-erange = erfc tonearest ibm128 0x6.a893032db905274042fb05c664p+4 : 0x0p+0 : inexact-ok underflow errno-erange
= erfc towardzero ibm128 0x6.a893032db905274042fb05c664p+4 : 0x0p+0 : xfail:ibm128-libgcc inexact-ok underflow errno-erange = erfc towardzero ibm128 0x6.a893032db905274042fb05c664p+4 : 0x0p+0 : xfail:ibm128-libgcc inexact-ok underflow errno-erange
= erfc upward ibm128 0x6.a893032db905274042fb05c664p+4 : 0x4p-1076 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok = erfc upward ibm128 0x6.a893032db905274042fb05c664p+4 : 0x4p-1076 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
erfc 0xd.03d06p-4
= erfc downward binary32 0xd.03d06p-4 : 0x3.fff918p-4 : inexact-ok
= erfc tonearest binary32 0xd.03d06p-4 : 0x3.fff91cp-4 : inexact-ok
= erfc towardzero binary32 0xd.03d06p-4 : 0x3.fff918p-4 : inexact-ok
= erfc upward binary32 0xd.03d06p-4 : 0x3.fff91cp-4 : inexact-ok
= erfc downward binary64 0xd.03d06p-4 : 0x3.fff91a7d782bp-4 : inexact-ok
= erfc tonearest binary64 0xd.03d06p-4 : 0x3.fff91a7d782bp-4 : inexact-ok
= erfc towardzero binary64 0xd.03d06p-4 : 0x3.fff91a7d782bp-4 : inexact-ok
= erfc upward binary64 0xd.03d06p-4 : 0x3.fff91a7d782b2p-4 : inexact-ok
= erfc downward intel96 0xd.03d06p-4 : 0x3.fff91a7d782b0064p-4 : inexact-ok
= erfc tonearest intel96 0xd.03d06p-4 : 0x3.fff91a7d782b0064p-4 : inexact-ok
= erfc towardzero intel96 0xd.03d06p-4 : 0x3.fff91a7d782b0064p-4 : inexact-ok
= erfc upward intel96 0xd.03d06p-4 : 0x3.fff91a7d782b0068p-4 : inexact-ok
= erfc downward m68k96 0xd.03d06p-4 : 0x3.fff91a7d782b0064p-4 : inexact-ok
= erfc tonearest m68k96 0xd.03d06p-4 : 0x3.fff91a7d782b0064p-4 : inexact-ok
= erfc towardzero m68k96 0xd.03d06p-4 : 0x3.fff91a7d782b0064p-4 : inexact-ok
= erfc upward m68k96 0xd.03d06p-4 : 0x3.fff91a7d782b0068p-4 : inexact-ok
= erfc downward binary128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be87cp-4 : inexact-ok
= erfc tonearest binary128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be87cp-4 : inexact-ok
= erfc towardzero binary128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be87cp-4 : inexact-ok
= erfc upward binary128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be87ep-4 : inexact-ok
= erfc downward ibm128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be8p-4 : inexact-ok
= erfc tonearest ibm128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be8p-4 : inexact-ok
= erfc towardzero ibm128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be8p-4 : inexact-ok
= erfc upward ibm128 0xd.03d06p-4 : 0x3.fff91a7d782b006458655c2be9p-4 : inexact-ok
erfc min erfc min
= erfc downward binary32 0x4p-128 : 0xf.fffffp-4 : inexact-ok = erfc downward binary32 0x4p-128 : 0xf.fffffp-4 : inexact-ok
= erfc tonearest binary32 0x4p-128 : 0x1p+0 : inexact-ok = erfc tonearest binary32 0x4p-128 : 0x1p+0 : inexact-ok

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@ -4844,3 +4844,28 @@ exp -0x6.58b64p-4
= exp tonearest ibm128 -0x6.58b64p-4 : 0xa.c2d2580088709f3262612e0cb8p-4 : inexact-ok = exp tonearest ibm128 -0x6.58b64p-4 : 0xa.c2d2580088709f3262612e0cb8p-4 : inexact-ok
= exp towardzero ibm128 -0x6.58b64p-4 : 0xa.c2d2580088709f3262612e0cb8p-4 : inexact-ok = exp towardzero ibm128 -0x6.58b64p-4 : 0xa.c2d2580088709f3262612e0cb8p-4 : inexact-ok
= exp upward ibm128 -0x6.58b64p-4 : 0xa.c2d2580088709f3262612e0cbcp-4 : inexact-ok = exp upward ibm128 -0x6.58b64p-4 : 0xa.c2d2580088709f3262612e0cbcp-4 : inexact-ok
exp 0x1.fefe02p-16
= exp downward binary32 0x1.fefe02p-16 : 0x1.0001fep+0 : inexact-ok
= exp tonearest binary32 0x1.fefe02p-16 : 0x1.0001fep+0 : inexact-ok
= exp towardzero binary32 0x1.fefe02p-16 : 0x1.0001fep+0 : inexact-ok
= exp upward binary32 0x1.fefe02p-16 : 0x1.0002p+0 : inexact-ok
= exp downward binary64 0x1.fefe02p-16 : 0x1.0001fefffffddp+0 : inexact-ok
= exp tonearest binary64 0x1.fefe02p-16 : 0x1.0001fefffffdep+0 : inexact-ok
= exp towardzero binary64 0x1.fefe02p-16 : 0x1.0001fefffffddp+0 : inexact-ok
= exp upward binary64 0x1.fefe02p-16 : 0x1.0001fefffffdep+0 : inexact-ok
= exp downward intel96 0x1.fefe02p-16 : 0x1.0001fefffffdd952p+0 : inexact-ok
= exp tonearest intel96 0x1.fefe02p-16 : 0x1.0001fefffffdd954p+0 : inexact-ok
= exp towardzero intel96 0x1.fefe02p-16 : 0x1.0001fefffffdd952p+0 : inexact-ok
= exp upward intel96 0x1.fefe02p-16 : 0x1.0001fefffffdd954p+0 : inexact-ok
= exp downward m68k96 0x1.fefe02p-16 : 0x1.0001fefffffdd952p+0 : inexact-ok
= exp tonearest m68k96 0x1.fefe02p-16 : 0x1.0001fefffffdd954p+0 : inexact-ok
= exp towardzero m68k96 0x1.fefe02p-16 : 0x1.0001fefffffdd952p+0 : inexact-ok
= exp upward m68k96 0x1.fefe02p-16 : 0x1.0001fefffffdd954p+0 : inexact-ok
= exp downward binary128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f9648616fp+0 : inexact-ok
= exp tonearest binary128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f9648617p+0 : inexact-ok
= exp towardzero binary128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f9648616fp+0 : inexact-ok
= exp upward binary128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f9648617p+0 : inexact-ok
= exp downward ibm128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f964861p+0 : inexact-ok
= exp tonearest ibm128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f9648618p+0 : inexact-ok
= exp towardzero ibm128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f964861p+0 : inexact-ok
= exp upward ibm128 0x1.fefe02p-16 : 0x1.0001fefffffdd953027f9648618p+0 : inexact-ok

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@ -3620,6 +3620,31 @@ exp10 -0x1.343793004f503231a589bac27c38p+12
= exp10 tonearest ibm128 -0x1.343793004f503231a589bac27c8p+12 : 0x0p+0 : inexact-ok underflow errno-erange = exp10 tonearest ibm128 -0x1.343793004f503231a589bac27c8p+12 : 0x0p+0 : inexact-ok underflow errno-erange
= exp10 towardzero ibm128 -0x1.343793004f503231a589bac27c8p+12 : 0x0p+0 : xfail:ibm128-libgcc inexact-ok underflow errno-erange = exp10 towardzero ibm128 -0x1.343793004f503231a589bac27c8p+12 : 0x0p+0 : xfail:ibm128-libgcc inexact-ok underflow errno-erange
= exp10 upward ibm128 -0x1.343793004f503231a589bac27c8p+12 : 0x4p-1076 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok = exp10 upward ibm128 -0x1.343793004f503231a589bac27c8p+12 : 0x4p-1076 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
exp10 -0xa.6f431p+0
= exp10 downward binary32 -0xa.6f431p+0 : 0x2.86b328p-36 : inexact-ok
= exp10 tonearest binary32 -0xa.6f431p+0 : 0x2.86b32cp-36 : inexact-ok
= exp10 towardzero binary32 -0xa.6f431p+0 : 0x2.86b328p-36 : inexact-ok
= exp10 upward binary32 -0xa.6f431p+0 : 0x2.86b32cp-36 : inexact-ok
= exp10 downward binary64 -0xa.6f431p+0 : 0x2.86b32a000000cp-36 : inexact-ok
= exp10 tonearest binary64 -0xa.6f431p+0 : 0x2.86b32a000000ep-36 : inexact-ok
= exp10 towardzero binary64 -0xa.6f431p+0 : 0x2.86b32a000000cp-36 : inexact-ok
= exp10 upward binary64 -0xa.6f431p+0 : 0x2.86b32a000000ep-36 : inexact-ok
= exp10 downward intel96 -0xa.6f431p+0 : 0x2.86b32a000000da34p-36 : inexact-ok
= exp10 tonearest intel96 -0xa.6f431p+0 : 0x2.86b32a000000da34p-36 : inexact-ok
= exp10 towardzero intel96 -0xa.6f431p+0 : 0x2.86b32a000000da34p-36 : inexact-ok
= exp10 upward intel96 -0xa.6f431p+0 : 0x2.86b32a000000da38p-36 : inexact-ok
= exp10 downward m68k96 -0xa.6f431p+0 : 0x2.86b32a000000da34p-36 : inexact-ok
= exp10 tonearest m68k96 -0xa.6f431p+0 : 0x2.86b32a000000da34p-36 : inexact-ok
= exp10 towardzero m68k96 -0xa.6f431p+0 : 0x2.86b32a000000da34p-36 : inexact-ok
= exp10 upward m68k96 -0xa.6f431p+0 : 0x2.86b32a000000da38p-36 : inexact-ok
= exp10 downward binary128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69d3ap-36 : inexact-ok
= exp10 tonearest binary128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69d3ap-36 : inexact-ok
= exp10 towardzero binary128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69d3ap-36 : inexact-ok
= exp10 upward binary128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69d3cp-36 : inexact-ok
= exp10 downward ibm128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69dp-36 : inexact-ok
= exp10 tonearest ibm128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69dp-36 : inexact-ok
= exp10 towardzero ibm128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69dp-36 : inexact-ok
= exp10 upward ibm128 -0xa.6f431p+0 : 0x2.86b32a000000da34970abbb69ep-36 : inexact-ok
exp10 min exp10 min
= exp10 downward binary32 0x4p-128 : 0x1p+0 : inexact-ok = exp10 downward binary32 0x4p-128 : 0x1p+0 : inexact-ok
= exp10 tonearest binary32 0x4p-128 : 0x1p+0 : inexact-ok = exp10 tonearest binary32 0x4p-128 : 0x1p+0 : inexact-ok

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@ -1334,3 +1334,28 @@ j0 0x1p16383
= j0 tonearest ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f01904p-516 : inexact-ok = j0 tonearest ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f01904p-516 : inexact-ok
= j0 towardzero ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f019p-516 : inexact-ok = j0 towardzero ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f019p-516 : inexact-ok
= j0 upward ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f019p-516 : inexact-ok = j0 upward ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f019p-516 : inexact-ok
j0 0x2.602774p+0
= j0 downward binary32 0x2.602774p+0 : 0x3.e83778p-8 : inexact-ok
= j0 tonearest binary32 0x2.602774p+0 : 0x3.e83778p-8 : inexact-ok
= j0 towardzero binary32 0x2.602774p+0 : 0x3.e83778p-8 : inexact-ok
= j0 upward binary32 0x2.602774p+0 : 0x3.e8377cp-8 : inexact-ok
= j0 downward binary64 0x2.602774p+0 : 0x3.e83779fe1991p-8 : inexact-ok
= j0 tonearest binary64 0x2.602774p+0 : 0x3.e83779fe19912p-8 : inexact-ok
= j0 towardzero binary64 0x2.602774p+0 : 0x3.e83779fe1991p-8 : inexact-ok
= j0 upward binary64 0x2.602774p+0 : 0x3.e83779fe19912p-8 : inexact-ok
= j0 downward intel96 0x2.602774p+0 : 0x3.e83779fe19911fa8p-8 : inexact-ok
= j0 tonearest intel96 0x2.602774p+0 : 0x3.e83779fe19911fa8p-8 : inexact-ok
= j0 towardzero intel96 0x2.602774p+0 : 0x3.e83779fe19911fa8p-8 : inexact-ok
= j0 upward intel96 0x2.602774p+0 : 0x3.e83779fe19911facp-8 : inexact-ok
= j0 downward m68k96 0x2.602774p+0 : 0x3.e83779fe19911fa8p-8 : inexact-ok
= j0 tonearest m68k96 0x2.602774p+0 : 0x3.e83779fe19911fa8p-8 : inexact-ok
= j0 towardzero m68k96 0x2.602774p+0 : 0x3.e83779fe19911fa8p-8 : inexact-ok
= j0 upward m68k96 0x2.602774p+0 : 0x3.e83779fe19911facp-8 : inexact-ok
= j0 downward binary128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab7p-8 : inexact-ok
= j0 tonearest binary128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab7p-8 : inexact-ok
= j0 towardzero binary128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab7p-8 : inexact-ok
= j0 upward binary128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab702p-8 : inexact-ok
= j0 downward ibm128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab7p-8 : inexact-ok
= j0 tonearest ibm128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab7p-8 : inexact-ok
= j0 towardzero ibm128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab7p-8 : inexact-ok
= j0 upward ibm128 0x2.602774p+0 : 0x3.e83779fe19911fa806cee83ab8p-8 : inexact-ok

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@ -968,6 +968,31 @@ j1 0x1p-10000
= j1 tonearest binary128 0x1p-10000 : 0x8p-10004 : inexact-ok = j1 tonearest binary128 0x1p-10000 : 0x8p-10004 : inexact-ok
= j1 towardzero binary128 0x1p-10000 : 0x7.fffffffffffffffffffffffffffcp-10004 : inexact-ok = j1 towardzero binary128 0x1p-10000 : 0x7.fffffffffffffffffffffffffffcp-10004 : inexact-ok
= j1 upward binary128 0x1p-10000 : 0x8p-10004 : inexact-ok = j1 upward binary128 0x1p-10000 : 0x8p-10004 : inexact-ok
j1 0x3.ae4b2p+0
= j1 downward binary32 0x3.ae4b2p+0 : 0xf.d085cp-8 : inexact-ok
= j1 tonearest binary32 0x3.ae4b2p+0 : 0xf.d085cp-8 : inexact-ok
= j1 towardzero binary32 0x3.ae4b2p+0 : 0xf.d085cp-8 : inexact-ok
= j1 upward binary32 0x3.ae4b2p+0 : 0xf.d085dp-8 : inexact-ok
= j1 downward binary64 0x3.ae4b2p+0 : 0xf.d085c66e86f3p-8 : inexact-ok
= j1 tonearest binary64 0x3.ae4b2p+0 : 0xf.d085c66e86f3p-8 : inexact-ok
= j1 towardzero binary64 0x3.ae4b2p+0 : 0xf.d085c66e86f3p-8 : inexact-ok
= j1 upward binary64 0x3.ae4b2p+0 : 0xf.d085c66e86f38p-8 : inexact-ok
= j1 downward intel96 0x3.ae4b2p+0 : 0xf.d085c66e86f3026p-8 : inexact-ok
= j1 tonearest intel96 0x3.ae4b2p+0 : 0xf.d085c66e86f3026p-8 : inexact-ok
= j1 towardzero intel96 0x3.ae4b2p+0 : 0xf.d085c66e86f3026p-8 : inexact-ok
= j1 upward intel96 0x3.ae4b2p+0 : 0xf.d085c66e86f3027p-8 : inexact-ok
= j1 downward m68k96 0x3.ae4b2p+0 : 0xf.d085c66e86f3026p-8 : inexact-ok
= j1 tonearest m68k96 0x3.ae4b2p+0 : 0xf.d085c66e86f3026p-8 : inexact-ok
= j1 towardzero m68k96 0x3.ae4b2p+0 : 0xf.d085c66e86f3026p-8 : inexact-ok
= j1 upward m68k96 0x3.ae4b2p+0 : 0xf.d085c66e86f3027p-8 : inexact-ok
= j1 downward binary128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787d2p-8 : inexact-ok
= j1 tonearest binary128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787d2p-8 : inexact-ok
= j1 towardzero binary128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787d2p-8 : inexact-ok
= j1 upward binary128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787d28p-8 : inexact-ok
= j1 downward ibm128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787cp-8 : inexact-ok
= j1 tonearest ibm128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787cp-8 : inexact-ok
= j1 towardzero ibm128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f787cp-8 : inexact-ok
= j1 upward ibm128 0x3.ae4b2p+0 : 0xf.d085c66e86f30267f22d6f788p-8 : inexact-ok
j1 min j1 min
= j1 downward binary32 0x4p-128 : 0x1.fffff8p-128 : inexact-ok underflow errno-erange-ok = j1 downward binary32 0x4p-128 : 0x1.fffff8p-128 : inexact-ok underflow errno-erange-ok
= j1 tonearest binary32 0x4p-128 : 0x2p-128 : inexact-ok underflow errno-erange-ok = j1 tonearest binary32 0x4p-128 : 0x2p-128 : inexact-ok underflow errno-erange-ok

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@ -2201,6 +2201,31 @@ lgamma -0x1p-16494
= lgamma tonearest binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e8p+12 -1 : inexact-ok = lgamma tonearest binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e8p+12 -1 : inexact-ok
= lgamma towardzero binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e6p+12 -1 : inexact-ok = lgamma towardzero binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e6p+12 -1 : inexact-ok
= lgamma upward binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e8p+12 -1 : inexact-ok = lgamma upward binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e8p+12 -1 : inexact-ok
lgamma -0x3.ec4298p+0
= lgamma downward binary32 -0x3.ec4298p+0 : -0x7.d809fp-4 1 : inexact-ok
= lgamma tonearest binary32 -0x3.ec4298p+0 : -0x7.d809fp-4 1 : inexact-ok
= lgamma towardzero binary32 -0x3.ec4298p+0 : -0x7.d809e8p-4 1 : inexact-ok
= lgamma upward binary32 -0x3.ec4298p+0 : -0x7.d809e8p-4 1 : inexact-ok
= lgamma downward binary64 -0x3.ec4298p+0 : -0x7.d809ecd340fc4p-4 1 : inexact-ok
= lgamma tonearest binary64 -0x3.ec4298p+0 : -0x7.d809ecd340fcp-4 1 : inexact-ok
= lgamma towardzero binary64 -0x3.ec4298p+0 : -0x7.d809ecd340fcp-4 1 : inexact-ok
= lgamma upward binary64 -0x3.ec4298p+0 : -0x7.d809ecd340fcp-4 1 : inexact-ok
= lgamma downward intel96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16ep-4 1 : inexact-ok
= lgamma tonearest intel96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16d8p-4 1 : inexact-ok
= lgamma towardzero intel96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16d8p-4 1 : inexact-ok
= lgamma upward intel96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16d8p-4 1 : inexact-ok
= lgamma downward m68k96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16ep-4 1 : inexact-ok
= lgamma tonearest m68k96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16d8p-4 1 : inexact-ok
= lgamma towardzero m68k96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16d8p-4 1 : inexact-ok
= lgamma upward m68k96 -0x3.ec4298p+0 : -0x7.d809ecd340fc16d8p-4 1 : inexact-ok
= lgamma downward binary128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad116694p-4 1 : inexact-ok
= lgamma tonearest binary128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad116694p-4 1 : inexact-ok
= lgamma towardzero binary128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad11669p-4 1 : inexact-ok
= lgamma upward binary128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad11669p-4 1 : inexact-ok
= lgamma downward ibm128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad1168p-4 1 : inexact-ok
= lgamma tonearest ibm128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad1166p-4 1 : inexact-ok
= lgamma towardzero ibm128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad1166p-4 1 : inexact-ok
= lgamma upward ibm128 -0x3.ec4298p+0 : -0x7.d809ecd340fc16da6722ad1166p-4 1 : inexact-ok
lgamma 0x3.12be0cp+120 lgamma 0x3.12be0cp+120
= lgamma downward binary32 0x3.12be0cp+120 : 0xf.ffff1p+124 1 : inexact-ok = lgamma downward binary32 0x3.12be0cp+120 : 0xf.ffff1p+124 1 : inexact-ok
= lgamma tonearest binary32 0x3.12be0cp+120 : 0xf.ffff1p+124 1 : inexact-ok = lgamma tonearest binary32 0x3.12be0cp+120 : 0xf.ffff1p+124 1 : inexact-ok

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@ -3118,6 +3118,31 @@ sin 0x3.042d88p+0
= sin tonearest ibm128 0x3.042d88p+0 : 0x1.ffc6da9f1ffed895f9fa424ba9p-4 : inexact-ok = sin tonearest ibm128 0x3.042d88p+0 : 0x1.ffc6da9f1ffed895f9fa424ba9p-4 : inexact-ok
= sin towardzero ibm128 0x3.042d88p+0 : 0x1.ffc6da9f1ffed895f9fa424ba9p-4 : inexact-ok = sin towardzero ibm128 0x3.042d88p+0 : 0x1.ffc6da9f1ffed895f9fa424ba9p-4 : inexact-ok
= sin upward ibm128 0x3.042d88p+0 : 0x1.ffc6da9f1ffed895f9fa424ba98p-4 : inexact-ok = sin upward ibm128 0x3.042d88p+0 : 0x1.ffc6da9f1ffed895f9fa424ba98p-4 : inexact-ok
sin 0x1.d12ed2p-12
= sin downward binary32 0x1.d12ed2p-12 : 0x1.d12edp-12 : inexact-ok
= sin tonearest binary32 0x1.d12ed2p-12 : 0x1.d12edp-12 : inexact-ok
= sin towardzero binary32 0x1.d12ed2p-12 : 0x1.d12edp-12 : inexact-ok
= sin upward binary32 0x1.d12ed2p-12 : 0x1.d12ed2p-12 : inexact-ok
= sin downward binary64 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfp-12 : inexact-ok
= sin tonearest binary64 0x1.d12ed2p-12 : 0x1.d12ed0fffffep-12 : inexact-ok
= sin towardzero binary64 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfp-12 : inexact-ok
= sin upward binary64 0x1.d12ed2p-12 : 0x1.d12ed0fffffep-12 : inexact-ok
= sin downward intel96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0ep-12 : inexact-ok
= sin tonearest intel96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe1p-12 : inexact-ok
= sin towardzero intel96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0ep-12 : inexact-ok
= sin upward intel96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe1p-12 : inexact-ok
= sin downward m68k96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0ep-12 : inexact-ok
= sin tonearest m68k96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe1p-12 : inexact-ok
= sin towardzero m68k96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0ep-12 : inexact-ok
= sin upward m68k96 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe1p-12 : inexact-ok
= sin downward binary128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b28232p-12 : inexact-ok
= sin tonearest binary128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b28233p-12 : inexact-ok
= sin towardzero binary128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b28232p-12 : inexact-ok
= sin upward binary128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b28233p-12 : inexact-ok
= sin downward ibm128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b282p-12 : inexact-ok
= sin tonearest ibm128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b282p-12 : inexact-ok
= sin towardzero ibm128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b282p-12 : inexact-ok
= sin upward ibm128 0x1.d12ed2p-12 : 0x1.d12ed0fffffdfe0f0008c8b2828p-12 : inexact-ok
sin max sin max
= sin downward binary32 0xf.fffffp+124 : -0x8.599b4p-4 : inexact-ok = sin downward binary32 0xf.fffffp+124 : -0x8.599b4p-4 : inexact-ok
= sin tonearest binary32 0xf.fffffp+124 : -0x8.599b3p-4 : inexact-ok = sin tonearest binary32 0xf.fffffp+124 : -0x8.599b3p-4 : inexact-ok

View File

@ -27303,3 +27303,28 @@ tgamma -0xd.cbf53d0e7d06p+0
= tgamma tonearest ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c5ap-36 : inexact-ok = tgamma tonearest ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c5ap-36 : inexact-ok
= tgamma towardzero ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c58p-36 : inexact-ok = tgamma towardzero ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c58p-36 : inexact-ok
= tgamma upward ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c5ap-36 : inexact-ok = tgamma upward ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c5ap-36 : inexact-ok
tgamma -0x3.0aa534p+0
= tgamma downward binary32 -0x3.0aa534p+0 : 0x3.d05ef8p+0 : inexact-ok
= tgamma tonearest binary32 -0x3.0aa534p+0 : 0x3.d05efcp+0 : inexact-ok
= tgamma towardzero binary32 -0x3.0aa534p+0 : 0x3.d05ef8p+0 : inexact-ok
= tgamma upward binary32 -0x3.0aa534p+0 : 0x3.d05efcp+0 : inexact-ok
= tgamma downward binary64 -0x3.0aa534p+0 : 0x3.d05efb28d49ccp+0 : inexact-ok
= tgamma tonearest binary64 -0x3.0aa534p+0 : 0x3.d05efb28d49ccp+0 : inexact-ok
= tgamma towardzero binary64 -0x3.0aa534p+0 : 0x3.d05efb28d49ccp+0 : inexact-ok
= tgamma upward binary64 -0x3.0aa534p+0 : 0x3.d05efb28d49cep+0 : inexact-ok
= tgamma downward intel96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc498p+0 : inexact-ok
= tgamma tonearest intel96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49cp+0 : inexact-ok
= tgamma towardzero intel96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc498p+0 : inexact-ok
= tgamma upward intel96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49cp+0 : inexact-ok
= tgamma downward m68k96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc498p+0 : inexact-ok
= tgamma tonearest m68k96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49cp+0 : inexact-ok
= tgamma towardzero m68k96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc498p+0 : inexact-ok
= tgamma upward m68k96 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49cp+0 : inexact-ok
= tgamma downward binary128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0a28p+0 : inexact-ok
= tgamma tonearest binary128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0a28p+0 : inexact-ok
= tgamma towardzero binary128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0a28p+0 : inexact-ok
= tgamma upward binary128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0a2ap+0 : inexact-ok
= tgamma downward ibm128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0ap+0 : inexact-ok
= tgamma tonearest ibm128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0ap+0 : inexact-ok
= tgamma towardzero ibm128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0ap+0 : inexact-ok
= tgamma upward ibm128 -0x3.0aa534p+0 : 0x3.d05efb28d49cc49b798cfd0f0bp+0 : inexact-ok

View File

@ -795,6 +795,31 @@ y0 0x1p-10000
= y0 tonearest binary128 0x1p-10000 : -0x1.13cc92aab9d385d1d0f2693cb631p+12 : inexact-ok = y0 tonearest binary128 0x1p-10000 : -0x1.13cc92aab9d385d1d0f2693cb631p+12 : inexact-ok
= y0 towardzero binary128 0x1p-10000 : -0x1.13cc92aab9d385d1d0f2693cb631p+12 : inexact-ok = y0 towardzero binary128 0x1p-10000 : -0x1.13cc92aab9d385d1d0f2693cb631p+12 : inexact-ok
= y0 upward binary128 0x1p-10000 : -0x1.13cc92aab9d385d1d0f2693cb631p+12 : inexact-ok = y0 upward binary128 0x1p-10000 : -0x1.13cc92aab9d385d1d0f2693cb631p+12 : inexact-ok
y0 0xd.3432bp-4
= y0 downward binary32 0xd.3432bp-4 : -0xf.fdd88p-8 : inexact-ok
= y0 tonearest binary32 0xd.3432bp-4 : -0xf.fdd87p-8 : inexact-ok
= y0 towardzero binary32 0xd.3432bp-4 : -0xf.fdd87p-8 : inexact-ok
= y0 upward binary32 0xd.3432bp-4 : -0xf.fdd87p-8 : inexact-ok
= y0 downward binary64 0xd.3432bp-4 : -0xf.fdd871793bc78p-8 : inexact-ok
= y0 tonearest binary64 0xd.3432bp-4 : -0xf.fdd871793bc7p-8 : inexact-ok
= y0 towardzero binary64 0xd.3432bp-4 : -0xf.fdd871793bc7p-8 : inexact-ok
= y0 upward binary64 0xd.3432bp-4 : -0xf.fdd871793bc7p-8 : inexact-ok
= y0 downward intel96 0xd.3432bp-4 : -0xf.fdd871793bc71fap-8 : inexact-ok
= y0 tonearest intel96 0xd.3432bp-4 : -0xf.fdd871793bc71f9p-8 : inexact-ok
= y0 towardzero intel96 0xd.3432bp-4 : -0xf.fdd871793bc71f9p-8 : inexact-ok
= y0 upward intel96 0xd.3432bp-4 : -0xf.fdd871793bc71f9p-8 : inexact-ok
= y0 downward m68k96 0xd.3432bp-4 : -0xf.fdd871793bc71fap-8 : inexact-ok
= y0 tonearest m68k96 0xd.3432bp-4 : -0xf.fdd871793bc71f9p-8 : inexact-ok
= y0 towardzero m68k96 0xd.3432bp-4 : -0xf.fdd871793bc71f9p-8 : inexact-ok
= y0 upward m68k96 0xd.3432bp-4 : -0xf.fdd871793bc71f9p-8 : inexact-ok
= y0 downward binary128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b44118p-8 : inexact-ok
= y0 tonearest binary128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b44118p-8 : inexact-ok
= y0 towardzero binary128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b4411p-8 : inexact-ok
= y0 upward binary128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b4411p-8 : inexact-ok
= y0 downward ibm128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b444p-8 : inexact-ok
= y0 tonearest ibm128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b44p-8 : inexact-ok
= y0 towardzero ibm128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b44p-8 : inexact-ok
= y0 upward ibm128 0xd.3432bp-4 : -0xf.fdd871793bc71f92d6b137b44p-8 : inexact-ok
y0 min y0 min
= y0 downward binary32 0x4p-128 : -0x3.7ac89cp+4 : inexact-ok = y0 downward binary32 0x4p-128 : -0x3.7ac89cp+4 : inexact-ok
= y0 tonearest binary32 0x4p-128 : -0x3.7ac89cp+4 : inexact-ok = y0 tonearest binary32 0x4p-128 : -0x3.7ac89cp+4 : inexact-ok

View File

@ -766,7 +766,7 @@ ldouble: 2
Function: "cosh": Function: "cosh":
double: 1 double: 1
float: 1 float: 2
float128: 1 float128: 1
ldouble: 2 ldouble: 2
@ -1125,6 +1125,7 @@ ldouble: 5
Function: "exp": Function: "exp":
double: 1 double: 1
float: 1
float128: 1 float128: 1
ldouble: 1 ldouble: 1
@ -1250,7 +1251,7 @@ ldouble: 1
Function: "j0": Function: "j0":
double: 2 double: 2
float: 2 float: 5
float128: 2 float128: 2
ldouble: 2 ldouble: 2
@ -1270,13 +1271,13 @@ Function: "j0_upward":
double: 3 double: 3
float: 3 float: 3
float128: 5 float128: 5
ldouble: 4 ldouble: 6
Function: "j1": Function: "j1":
double: 2 double: 2
float: 2 float: 5
float128: 4 float128: 4
ldouble: 1 ldouble: 5
Function: "j1_downward": Function: "j1_downward":
double: 3 double: 3
@ -1575,13 +1576,13 @@ ldouble: 5
Function: "tgamma_downward": Function: "tgamma_downward":
double: 6 double: 6
float: 5 float: 7
float128: 5 float128: 5
ldouble: 5 ldouble: 5
Function: "tgamma_towardzero": Function: "tgamma_towardzero":
double: 6 double: 6
float: 5 float: 7
float128: 5 float128: 5
ldouble: 5 ldouble: 5
@ -1607,37 +1608,37 @@ Function: "y0_towardzero":
double: 3 double: 3
float: 3 float: 3
float128: 3 float128: 3
ldouble: 5 ldouble: 6
Function: "y0_upward": Function: "y0_upward":
double: 3 double: 3
float: 5 float: 5
float128: 3 float128: 3
ldouble: 3 ldouble: 5
Function: "y1": Function: "y1":
double: 3 double: 3
float: 2 float: 2
float128: 2 float128: 5
ldouble: 2 ldouble: 3
Function: "y1_downward": Function: "y1_downward":
double: 3 double: 3
float: 4 float: 5
float128: 4 float128: 5
ldouble: 7 ldouble: 7
Function: "y1_towardzero": Function: "y1_towardzero":
double: 3 double: 3
float: 2 float: 4
float128: 2 float128: 6
ldouble: 5 ldouble: 5
Function: "y1_upward": Function: "y1_upward":
double: 7 double: 7
float: 3 float: 3
float128: 5 float128: 6
ldouble: 7 ldouble: 9
Function: "yn": Function: "yn":
double: 3 double: 3

View File

@ -73,7 +73,7 @@ ldouble: 1
Function: "asinh": Function: "asinh":
double: 1 double: 1
float: 1 float: 2
float128: 3 float128: 3
ldouble: 3 ldouble: 3
@ -761,6 +761,7 @@ ldouble: 1
Function: "cos": Function: "cos":
double: 1 double: 1
float: 1
float128: 1 float128: 1
ldouble: 1 ldouble: 1
@ -804,7 +805,7 @@ float: 1
Function: "cosh": Function: "cosh":
double: 1 double: 1
float: 1 float: 2
float128: 1 float128: 1
ldouble: 2 ldouble: 2
@ -1135,7 +1136,7 @@ ldouble: 1
Function: "erfc": Function: "erfc":
double: 3 double: 3
float: 2 float: 3
float128: 2 float128: 2
ldouble: 3 ldouble: 3
@ -1158,11 +1159,13 @@ float128: 5
ldouble: 5 ldouble: 5
Function: "exp": Function: "exp":
float: 1
float128: 1 float128: 1
ldouble: 1 ldouble: 1
Function: "exp10": Function: "exp10":
double: 2 double: 2
float: 1
float128: 2 float128: 2
ldouble: 1 ldouble: 1
@ -1269,22 +1272,22 @@ ldouble: 4
Function: "gamma": Function: "gamma":
double: 4 double: 4
float: 4 float: 7
ldouble: 4 ldouble: 4
Function: "gamma_downward": Function: "gamma_downward":
double: 5 double: 5
float: 4 float: 7
ldouble: 7 ldouble: 7
Function: "gamma_towardzero": Function: "gamma_towardzero":
double: 5 double: 5
float: 4 float: 6
ldouble: 7 ldouble: 7
Function: "gamma_upward": Function: "gamma_upward":
double: 5 double: 5
float: 5 float: 6
ldouble: 6 ldouble: 6
Function: "hypot": Function: "hypot":
@ -1309,7 +1312,7 @@ ldouble: 1
Function: "j0": Function: "j0":
double: 2 double: 2
float: 2 float: 8
float128: 2 float128: 2
ldouble: 2 ldouble: 2
@ -1320,26 +1323,26 @@ float128: 4
ldouble: 4 ldouble: 4
Function: "j0_towardzero": Function: "j0_towardzero":
double: 3 double: 4
float: 2 float: 5
float128: 2 float128: 2
ldouble: 5 ldouble: 5
Function: "j0_upward": Function: "j0_upward":
double: 3 double: 4
float: 2 float: 5
float128: 5 float128: 5
ldouble: 4 ldouble: 6
Function: "j1": Function: "j1":
double: 1 double: 2
float: 2 float: 9
float128: 4 float128: 4
ldouble: 1 ldouble: 5
Function: "j1_downward": Function: "j1_downward":
double: 3 double: 3
float: 3 float: 5
float128: 4 float128: 4
ldouble: 4 ldouble: 4
@ -1381,25 +1384,25 @@ ldouble: 5
Function: "lgamma": Function: "lgamma":
double: 4 double: 4
float: 4 float: 7
float128: 5 float128: 5
ldouble: 4 ldouble: 4
Function: "lgamma_downward": Function: "lgamma_downward":
double: 5 double: 5
float: 4 float: 7
float128: 8 float128: 8
ldouble: 7 ldouble: 7
Function: "lgamma_towardzero": Function: "lgamma_towardzero":
double: 5 double: 5
float: 4 float: 6
float128: 5 float128: 5
ldouble: 7 ldouble: 7
Function: "lgamma_upward": Function: "lgamma_upward":
double: 5 double: 5
float: 5 float: 6
float128: 8 float128: 8
ldouble: 6 ldouble: 6
@ -1562,6 +1565,7 @@ float: 3
Function: "sin": Function: "sin":
double: 1 double: 1
float: 1
float128: 1 float128: 1
ldouble: 1 ldouble: 1
@ -1719,37 +1723,37 @@ ldouble: 4
Function: "tgamma": Function: "tgamma":
double: 5 double: 5
float: 5 float: 8
float128: 4 float128: 4
ldouble: 5 ldouble: 5
Function: "tgamma_downward": Function: "tgamma_downward":
double: 5 double: 5
float: 5 float: 7
float128: 5 float128: 5
ldouble: 5 ldouble: 5
Function: "tgamma_towardzero": Function: "tgamma_towardzero":
double: 5 double: 5
float: 5 float: 7
float128: 5 float128: 5
ldouble: 5 ldouble: 5
Function: "tgamma_upward": Function: "tgamma_upward":
double: 5 double: 5
float: 5 float: 8
float128: 4 float128: 4
ldouble: 5 ldouble: 5
Function: "y0": Function: "y0":
double: 2 double: 3
float: 1 float: 8
float128: 3 float128: 3
ldouble: 1 ldouble: 1
Function: "y0_downward": Function: "y0_downward":
double: 3 double: 3
float: 4 float: 6
float128: 4 float128: 4
ldouble: 5 ldouble: 5
@ -1757,37 +1761,37 @@ Function: "y0_towardzero":
double: 3 double: 3
float: 3 float: 3
float128: 3 float128: 3
ldouble: 5 ldouble: 6
Function: "y0_upward": Function: "y0_upward":
double: 3 double: 3
float: 5 float: 6
float128: 3 float128: 3
ldouble: 3 ldouble: 5
Function: "y1": Function: "y1":
double: 3 double: 6
float: 2 float: 9
float128: 2 float128: 5
ldouble: 2 ldouble: 3
Function: "y1_downward": Function: "y1_downward":
double: 3 double: 3
float: 2 float: 2
float128: 4 float128: 5
ldouble: 7 ldouble: 7
Function: "y1_towardzero": Function: "y1_towardzero":
double: 3 double: 4
float: 2 float: 5
float128: 2 float128: 6
ldouble: 5 ldouble: 5
Function: "y1_upward": Function: "y1_upward":
double: 7 double: 7
float: 2 float: 9
float128: 5 float128: 6
ldouble: 7 ldouble: 9
Function: "yn": Function: "yn":
double: 3 double: 3