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

Browse Source 
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
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

24
math/auto-libm-test-in
View File

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

25
math/auto-libm-test-out-asinh
View File

@ -2506,6 +2506,31 @@ asinh 0x1p-5000
= asinh tonearest binary128 0x1p-5000 : 0x1p-5000 : inexact-ok
= asinh towardzero binary128 0x1p-5000 : 0xf.fffffffffffffffffffffffffff8p-5004 : 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 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

25
math/auto-libm-test-out-cos
View File

@ -3223,3 +3223,28 @@ cos -1.57079697
= cos tonearest ibm128 -0x1.921fc00ece4f02f278ade6ad9fp+0 : -0xa.ca8b7d7e881db0d4919460ab44p-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 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

25
math/auto-libm-test-out-cosh
View File

@ -3385,3 +3385,28 @@ cosh -0x2.c5d37700c6bb03a6c24b6c9b494ep+12
= 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 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

25
math/auto-libm-test-out-erfc
View File

@ -2860,6 +2860,31 @@ erfc 0x6.a893032db905274042fb05c665ep+4
= 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 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 downward binary32 0x4p-128 : 0xf.fffffp-4 : inexact-ok
= erfc tonearest binary32 0x4p-128 : 0x1p+0 : inexact-ok

25
math/auto-libm-test-out-exp
View File

@ -4844,3 +4844,28 @@ exp -0x6.58b64p-4
= exp tonearest 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 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

25
math/auto-libm-test-out-exp10
View File

@ -3620,6 +3620,31 @@ exp10 -0x1.343793004f503231a589bac27c38p+12
= 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 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 downward binary32 0x4p-128 : 0x1p+0 : inexact-ok
= exp10 tonearest binary32 0x4p-128 : 0x1p+0 : inexact-ok

25
math/auto-libm-test-out-j0
View File

@ -1334,3 +1334,28 @@ j0 0x1p16383
= j0 tonearest ibm128 0xf.ffffffffffffbffffffffffffcp+1020 : -0xb.a80d0ee91ce259a722e1f01904p-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 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

25
math/auto-libm-test-out-j1
View File

@ -968,6 +968,31 @@ j1 0x1p-10000
= j1 tonearest binary128 0x1p-10000 : 0x8p-10004 : inexact-ok
= j1 towardzero binary128 0x1p-10000 : 0x7.fffffffffffffffffffffffffffcp-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 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

25
math/auto-libm-test-out-lgamma
View File

@ -2201,6 +2201,31 @@ lgamma -0x1p-16494
= lgamma tonearest binary128 -0x4p-16496 : 0x2.ca8c50440f005913a49acbd2c4e8p+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 -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 downward binary32 0x3.12be0cp+120 : 0xf.ffff1p+124 1 : inexact-ok
= lgamma tonearest binary32 0x3.12be0cp+120 : 0xf.ffff1p+124 1 : inexact-ok

25
math/auto-libm-test-out-sin
View File

@ -3118,6 +3118,31 @@ sin 0x3.042d88p+0
= sin tonearest 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 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 downward binary32 0xf.fffffp+124 : -0x8.599b4p-4 : inexact-ok
= sin tonearest binary32 0xf.fffffp+124 : -0x8.599b3p-4 : inexact-ok

25
math/auto-libm-test-out-tgamma
View File

@ -27303,3 +27303,28 @@ tgamma -0xd.cbf53d0e7d06p+0
= tgamma tonearest ibm128 -0xd.cbf53d0e7d06p+0 : 0x7.2508c022ac5a1f121d3ba32c5ap-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 -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

25
math/auto-libm-test-out-y0
View File

@ -795,6 +795,31 @@ y0 0x1p-10000
= y0 tonearest 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 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 downward binary32 0x4p-128 : -0x3.7ac89cp+4 : inexact-ok
= y0 tonearest binary32 0x4p-128 : -0x3.7ac89cp+4 : inexact-ok

35
sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
View File

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

88
sysdeps/x86_64/fpu/libm-test-ulps
View File

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