[MLton-devel] cvs commit: Real regression
Stephen Weeks
sweeks@users.sourceforge.net
Fri, 29 Aug 2003 16:05:01 -0700
sweeks 03/08/29 16:05:00
Modified: regression real.ok real.sml
Removed: regression real.conv.ok real.conv.sml real.fromLargeInt.ok
real.fromLargeInt.sml real.maxFinite.ok
real.maxFinite.sml real.nextAfter.ok
real.nextAfter.sml real.split.ok real.split.sml
real.toDecimal.ok real.toDecimal.sml
real.toFromLargeInt.ok real.toFromLargeInt.sml
real.toLargeInt.ok real.toLargeInt.sml real2.ok
real2.sml real3.ok real3.sml real4.ok real4.sml
real5.ok real5.sml real6.ok real6.sml real7.ok
real7.sml real8.ok real8.sml
Log:
Got rid of all the little real* regressions and combined them into one
mongo regression, real.sml, that tests both Real32 and Real64 on every
Real function.
Revision Changes Path
1.2 +23261 -173mlton/regression/real.ok
Index: real.ok
===================================================================
RCS file: /cvsroot/mlton/mlton/regression/real.ok,v
retrieving revision 1.1
retrieving revision 1.2
diff -u -r1.1 -r1.2
--- real.ok 18 Jul 2001 05:51:07 -0000 1.1
+++ real.ok 29 Aug 2003 23:05:00 -0000 1.2
@@ -1,173 +1,23261 @@
-Testing structure Real...
-test1 OK
-test2 OK
-test3 OK
-test4a OK
-test4b OK
-test4c OK
-test4c OK
-test5b OK
-test5c OK
-test5c OK
-test6a OK
-test6b OK
-test6c OK
-test6c OK
-test7a OK
-test7c OK
-test7c OK
-test8 OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk OK
-chk2 OK
-chk2 OK
-chk2 OK
-chk2 OK
-chk2 OK
-chk2 OK
-chk2 OK
-chk2 OK
-test11a OK
-test11b OK
-chkFIX.a OK
-chkFIX.b OK
-chkFIX.b~ OK
-chkFIX.c OK
-chkFIX.c~ OK
-chkFIX.d OK
-chkFIX.d~ OK
-chkFIX.f OK
-chkFIX.f~ OK
-chkFIX.g OK
-chkFIX.g~ OK
-chkFIX.h OK
-chkFIX.h~ OK
-chkFIX.j OK
-chkFIX.j~ OK
-test11d OK
-test11e OK
-test11f OK
-test11g OK
-test11h OK
-test12a OK
-test12b OK
-test12c OK
-test13a OK
-test13b OK
-test13c OK
+
+Testing Real32
+
+Testing fmt
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+inf inf
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+Testing checkFloat
+
+Testing class, isFinite, isNan, isNormal
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+Testing maxFinite, minPos, minNormalPos
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+Testring fromString
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+Testing {from,to}Decimal
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+Testing {from,to}LargeInt
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+
+Testing fromInt
+
+Testing toInt
+
+Testing ceil,floor,round,trunc
+
+Testing copySign, sameSign, sign, signBit
+Testing max, min
+
+Testing Real.Math.{acos,asin,atan,cos,cosh,exp,ln,log10,sin,sinh,sqrt,tan,tanh}
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+0
+5E~324
+4.9406564584E~324
+0.0000000000
+4.940656458E~324
+0.0
+0.000000E0
+0.000000
+0
+0E0
+0
+0
+0.0000000000E0
+0.0000000000
+0
+~0.17976931348623157E309
+~1.797693E308
+~179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321326889464182768467546703537516986049910576551282076245490090389328944075868508455133942304583236903222948165808559332123348274797826204144723168738177180919299881250404026184124858368.000000
+~1.79769313486E308
+~2E308
+~179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321326889464182768467546703537516986049910576551282076245490090389328944075868508455133942304583236903222948165808559332123348274797826204144723168738177180919299881250404026184124858368
+~2E308
+~1.7976931349E308
+~179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321326889464182768467546703537516986049910576551282076245490090389328944075868508455133942304583236903222948165808559332123348274797826204144723168738177180919299881250404026184124858368.0000000000
+~1.797693135E308
+~0.8988465674311579E308
+~8.988466E307
+~89884656743115785407263711865852178399035283762922498299458738401578630390014269380294779316383439085770229476757191232117160663444732091384233773351768758493024955288275641038122745045194664472037934254227566971152291618451611474082904279666061674137398913102072361584369088590459649940625202013092062429184.000000
+~8.98846567431E307
+~9E307
+~89884656743115785407263711865852178399035283762922498299458738401578630390014269380294779316383439085770229476757191232117160663444732091384233773351768758493024955288275641038122745045194664472037934254227566971152291618451611474082904279666061674137398913102072361584369088590459649940625202013092062429184
+~9E307
+~8.9884656743E307
+~89884656743115785407263711865852178399035283762922498299458738401578630390014269380294779316383439085770229476757191232117160663444732091384233773351768758493024955288275641038122745045194664472037934254227566971152291618451611474082904279666061674137398913102072361584369088590459649940625202013092062429184.0000000000
+~8.988465674E307
+~0.123E4
+~1.230000E3
+~1230.000000
+~1230
+~1E3
+~1230
+~1E3
+~1.2300000000E3
+~1230.0000000000
+~1230
+~0.123E2
+~1.230000E1
+~12.300000
+~12.3
+~1E1
+~12
+~10
+~1.2300000000E1
+~12.3000000000
+~12.3
+~0.3141592653589793E1
+~3.141593E0
+~3.141593
+~3.14159265359
+~3E0
+~3
+~3
+~3.1415926536E0
+~3.1415926536
+~3.141592654
+~0.2718281828459045E1
+~2.718282E0
+~2.718282
+~2.71828182846
+~3E0
+~3
+~3
+~2.7182818285E0
+~2.7182818285
+~2.718281828
+~0.123E1
+~1.230000E0
+~1.230000
+~1.23
+~1E0
+~1
+~1
+~1.2300000000E0
+~1.2300000000
+~1.23
+~0.123
+~1.230000E~1
+~0.123000
+~0.123
+~1E~1
+~0
+~0.1
+~1.2300000000E~1
+~0.1230000000
+~0.123
+~0.123E~2
+~1.230000E~3
+~0.001230
+~0.00123
+~1E~3
+~0
+~1E~3
+~1.2300000000E~3
+~0.0012300000
+~0.00123
+~0.22250738585072014E~307
+~2.225074E~308
+~0.000000
+~2.22507385851E~308
+~2E~308
+~0
+~2E~308
+~2.2250738585E~308
+~0.0000000000
+~2.225073859E~308
+~0.11125369292536007E~307
+~1.112537E~308
+~0.000000
+~1.11253692925E~308
+~1E~308
+~0
+~1E~308
+~1.1125369293E~308
+~0.0000000000
+~1.112536929E~308
+~0.5E~323
+~4.940656E~324
+~0.000000
+~4.94065645841E~324
+~5E~324
+~0
+~5E~324
+~4.9406564584E~324
+~0.0000000000
+~4.940656458E~324
+0.0
+0.000000E0
+0.000000
+0
+0E0
+0
+0
+0.0000000000E0
+0.0000000000
+0
+
+Testing scan0.17976931348623157E309 0.17976931348623157E309
+0.8988465674311579E308 0.8988465674311579E308
+0.123E4 0.123E4
+0.123E2 0.123E2
+0.3141592653589793E1 0.3141592653589793E1
+0.2718281828459045E1 0.2718281828459045E1
+0.123E1 0.123E1
+0.123 0.123
+0.123E~2 0.123E~2
+0.22250738585072014E~307 0.22250738585072014E~307
+0.11125369292536007E~307 0.11125369292536007E~307
+0.5E~323 0.5E~323
+0.0 0.0
+~0.17976931348623157E309 ~0.17976931348623157E309
+~0.8988465674311579E308 ~0.8988465674311579E308
+~0.123E4 ~0.123E4
+~0.123E2 ~0.123E2
+~0.3141592653589793E1 ~0.3141592653589793E1
+~0.2718281828459045E1 ~0.2718281828459045E1
+~0.123E1 ~0.123E1
+~0.123 ~0.123
+~0.123E~2 ~0.123E~2
+~0.22250738585072014E~307 ~0.22250738585072014E~307
+~0.11125369292536007E~307 ~0.11125369292536007E~307
+~0.5E~323 ~0.5E~323
+0.0 0.0
+inf inf
+~inf ~inf
+nan nan
+inf inf
+
+Testing checkFloat
+
+Testing class, isFinite, isNan, isNormal
+0.17976931348623157E309 normal
+ isFinite = true isNan = false isNormal = true
+0.8988465674311579E308 normal
+ isFinite = true isNan = false isNormal = true
+0.123E4 normal
+ isFinite = true isNan = false isNormal = true
+0.123E2 normal
+ isFinite = true isNan = false isNormal = true
+0.3141592653589793E1 normal
+ isFinite = true isNan = false isNormal = true
+0.2718281828459045E1 normal
+ isFinite = true isNan = false isNormal = true
+0.123E1 normal
+ isFinite = true isNan = false isNormal = true
+0.123 normal
+ isFinite = true isNan = false isNormal = true
+0.123E~2 normal
+ isFinite = true isNan = false isNormal = true
+0.22250738585072014E~307 normal
+ isFinite = true isNan = false isNormal = true
+0.11125369292536007E~307 subnormal
+ isFinite = true isNan = false isNormal = false
+0.5E~323 subnormal
+ isFinite = true isNan = false isNormal = false
+0.0 zero
+ isFinite = true isNan = false isNormal = false
+~0.17976931348623157E309 normal
+ isFinite = true isNan = false isNormal = true
+~0.8988465674311579E308 normal
+ isFinite = true isNan = false isNormal = true
+~0.123E4 normal
+ isFinite = true isNan = false isNormal = true
+~0.123E2 normal
+ isFinite = true isNan = false isNormal = true
+~0.3141592653589793E1 normal
+ isFinite = true isNan = false isNormal = true
+~0.2718281828459045E1 normal
+ isFinite = true isNan = false isNormal = true
+~0.123E1 normal
+ isFinite = true isNan = false isNormal = true
+~0.123 normal
+ isFinite = true isNan = false isNormal = true
+~0.123E~2 normal
+ isFinite = true isNan = false isNormal = true
+~0.22250738585072014E~307 normal
+ isFinite = true isNan = false isNormal = true
+~0.11125369292536007E~307 subnormal
+ isFinite = true isNan = false isNormal = false
+~0.5E~323 subnormal
+ isFinite = true isNan = false isNormal = false
+0.0 zero
+ isFinite = true isNan = false isNormal = false
+inf inf
+ isFinite = false isNan = false isNormal = false
+~inf inf
+ isFinite = false isNan = false isNormal = false
+nan nan
+ isFinite = false isNan = true isNormal = false
+inf inf
+ isFinite = false isNan = false isNormal = false
+
+Testing maxFinite, minPos, minNormalPos
+1.79769313486E308
+1.79769313486E308
+true
+4.94065645841E~324
+4.94065645841E~324
+true
+2.22507385851E~308
+2.22507385851E~308
+true
+
+Testring fromString
+
+Testing {from,to}Decimal
+inf inf true
+inf inf true
+~inf ~inf true
+~inf ~inf true
+inf inf true
+inf inf true
+~inf ~inf true
+~inf ~inf true
+nan nan true
+nan nan true
+~nan nan false
+~nan nan false
+0.0 0.0 true
+0.0 0.0 true
+0.0 0.0 true
+~0.0 0.0 false
+0.15E2 0.15E2 true
+0.15E1 0.15E1 true
+~0.15E2 ~0.15E2 true
+0.15E2 0.15E2 true
+0.15E~2 0.15E~2 true
+0.15E~2 0.15E~2 true
+0.15E~2 0.15E~2 true
+0.12E1000 inf false
+~0.12E1000 ~inf false
+0.1E~998 0.0 false
+~0.1E~998 0.0 false
+inf inf true
+
+Testing {from,to}LargeInt
+0.17976931348623157E309 179769313486231570000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0.17976931348623157E309
+0.8988465674311579E308 89884656743115790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0.8988465674311579E308
+0.123E4 1230 0.123E4
+0.123E2 12 0.12E2
+0.3141592653589793E1 3 0.3E1
+0.2718281828459045E1 2 0.2E1
+0.123E1 1 0.1E1
+0.123 0 0.0
+0.123E~2 0 0.0
+0.22250738585072014E~307 0 0.0
+0.11125369292536007E~307 0 0.0
+0.5E~323 0 0.0
+0.0 0 0.0
+~0.17976931348623157E309 ~179769313486231570000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 ~0.17976931348623157E309
+~0.8988465674311579E308 ~89884656743115790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 ~0.8988465674311579E308
+~0.123E4 ~1230 ~0.123E4
+~0.123E2 ~13 ~0.13E2
+~0.3141592653589793E1 ~4 ~0.4E1
+~0.2718281828459045E1 ~3 ~0.3E1
+~0.123E1 ~2 ~0.2E1
+~0.123 ~1 ~0.1E1
+~0.123E~2 ~1 ~0.1E1
+~0.22250738585072014E~307 ~1 ~0.1E1
+~0.11125369292536007E~307 ~1 ~0.1E1
+~0.5E~323 ~1 ~0.1E1
+0.0 0 0.0
+nearest 0.0 0
+nearest 0.0 0
+nearest 0.1E13 1000000000000
+nearest ~0.1E13 ~1000000000000
+nearest 0.25 0
+nearest ~0.25 0
+nearest 0.100000000000025E13 1000000000000
+nearest ~0.99999999999975E12 ~1000000000000
+nearest 0.5 0
+nearest ~0.5 0
+nearest 0.10000000000005E13 1000000000000
+nearest ~0.9999999999995E12 ~1000000000000
+nearest 0.75 1
+nearest ~0.75 ~1
+nearest 0.100000000000075E13 1000000000001
+nearest ~0.99999999999925E12 ~999999999999
+nearest 0.1E1 1
+nearest ~0.1E1 ~1
+nearest 0.1000000000001E13 1000000000001
+nearest ~0.999999999999E12 ~999999999999
+nearest 0.125E1 1
+nearest ~0.125E1 ~1
+nearest 0.100000000000125E13 1000000000001
+nearest ~0.99999999999875E12 ~999999999999
+nearest 0.15E1 2
+nearest ~0.15E1 ~2
+nearest 0.10000000000015E13 1000000000002
+nearest ~0.9999999999985E12 ~999999999998
+nearest 0.175E1 2
+nearest ~0.175E1 ~2
+nearest 0.100000000000175E13 1000000000002
+nearest ~0.99999999999825E12 ~999999999998
+nearest 0.2E1 2
+nearest ~0.2E1 ~2
+nearest 0.1000000000002E13 1000000000002
+nearest ~0.999999999998E12 ~999999999998
+nearest 0.25E1 2
+nearest ~0.25E1 ~2
+nearest 0.10000000000025E13 1000000000002
+nearest ~0.9999999999975E12 ~999999999998
+nearest 0.3E1 3
+nearest ~0.3E1 ~3
+nearest 0.1000000000003E13 1000000000003
+nearest ~0.999999999997E12 ~999999999997
+neginf 0.0 0
+neginf 0.0 0
+neginf 0.1E13 1000000000000
+neginf ~0.1E13 ~1000000000000
+neginf 0.25 0
+neginf ~0.25 ~1
+neginf 0.100000000000025E13 1000000000000
+neginf ~0.99999999999975E12 ~1000000000000
+neginf 0.5 0
+neginf ~0.5 ~1
+neginf 0.10000000000005E13 1000000000000
+neginf ~0.9999999999995E12 ~1000000000000
+neginf 0.75 0
+neginf ~0.75 ~1
+neginf 0.100000000000075E13 1000000000000
+neginf ~0.99999999999925E12 ~1000000000000
+neginf 0.1E1 1
+neginf ~0.1E1 ~1
+neginf 0.1000000000001E13 1000000000001
+neginf ~0.999999999999E12 ~999999999999
+neginf 0.125E1 1
+neginf ~0.125E1 ~2
+neginf 0.100000000000125E13 1000000000001
+neginf ~0.99999999999875E12 ~999999999999
+neginf 0.15E1 1
+neginf ~0.15E1 ~2
+neginf 0.10000000000015E13 1000000000001
+neginf ~0.9999999999985E12 ~999999999999
+neginf 0.175E1 1
+neginf ~0.175E1 ~2
+neginf 0.100000000000175E13 1000000000001
+neginf ~0.99999999999825E12 ~999999999999
+neginf 0.2E1 2
+neginf ~0.2E1 ~2
+neginf 0.1000000000002E13 1000000000002
+neginf ~0.999999999998E12 ~999999999998
+neginf 0.25E1 2
+neginf ~0.25E1 ~3
+neginf 0.10000000000025E13 1000000000002
+neginf ~0.9999999999975E12 ~999999999998
+neginf 0.3E1 3
+neginf ~0.3E1 ~3
+neginf 0.1000000000003E13 1000000000003
+neginf ~0.999999999997E12 ~999999999997
+posinf 0.0 0
+posinf 0.0 0
+posinf 0.1E13 1000000000000
+posinf ~0.1E13 ~1000000000000
+posinf 0.25 1
+posinf ~0.25 0
+posinf 0.100000000000025E13 1000000000001
+posinf ~0.99999999999975E12 ~999999999999
+posinf 0.5 1
+posinf ~0.5 0
+posinf 0.10000000000005E13 1000000000001
+posinf ~0.9999999999995E12 ~999999999999
+posinf 0.75 1
+posinf ~0.75 0
+posinf 0.100000000000075E13 1000000000001
+posinf ~0.99999999999925E12 ~999999999999
+posinf 0.1E1 1
+posinf ~0.1E1 ~1
+posinf 0.1000000000001E13 1000000000001
+posinf ~0.999999999999E12 ~999999999999
+posinf 0.125E1 2
+posinf ~0.125E1 ~1
+posinf 0.100000000000125E13 1000000000002
+posinf ~0.99999999999875E12 ~999999999998
+posinf 0.15E1 2
+posinf ~0.15E1 ~1
+posinf 0.10000000000015E13 1000000000002
+posinf ~0.9999999999985E12 ~999999999998
+posinf 0.175E1 2
+posinf ~0.175E1 ~1
+posinf 0.100000000000175E13 1000000000002
+posinf ~0.99999999999825E12 ~999999999998
+posinf 0.2E1 2
+posinf ~0.2E1 ~2
+posinf 0.1000000000002E13 1000000000002
+posinf ~0.999999999998E12 ~999999999998
+posinf 0.25E1 3
+posinf ~0.25E1 ~2
+posinf 0.10000000000025E13 1000000000003
+posinf ~0.9999999999975E12 ~999999999997
+posinf 0.3E1 3
+posinf ~0.3E1 ~3
+posinf 0.1000000000003E13 1000000000003
+posinf ~0.999999999997E12 ~999999999997
+zero 0.0 0
+zero 0.0 0
+zero 0.1E13 1000000000000
+zero ~0.1E13 ~1000000000000
+zero 0.25 0
+zero ~0.25 0
+zero 0.100000000000025E13 1000000000000
+zero ~0.99999999999975E12 ~999999999999
+zero 0.5 0
+zero ~0.5 0
+zero 0.10000000000005E13 1000000000000
+zero ~0.9999999999995E12 ~999999999999
+zero 0.75 0
+zero ~0.75 0
+zero 0.100000000000075E13 1000000000000
+zero ~0.99999999999925E12 ~999999999999
+zero 0.1E1 1
+zero ~0.1E1 ~1
+zero 0.1000000000001E13 1000000000001
+zero ~0.999999999999E12 ~999999999999
+zero 0.125E1 1
+zero ~0.125E1 ~1
+zero 0.100000000000125E13 1000000000001
+zero ~0.99999999999875E12 ~999999999998
+zero 0.15E1 1
+zero ~0.15E1 ~1
+zero 0.10000000000015E13 1000000000001
+zero ~0.9999999999985E12 ~999999999998
+zero 0.175E1 1
+zero ~0.175E1 ~1
+zero 0.100000000000175E13 1000000000001
+zero ~0.99999999999825E12 ~999999999998
+zero 0.2E1 2
+zero ~0.2E1 ~2
+zero 0.1000000000002E13 1000000000002
+zero ~0.999999999998E12 ~999999999998
+zero 0.25E1 2
+zero ~0.25E1 ~2
+zero 0.10000000000025E13 1000000000002
+zero ~0.9999999999975E12 ~999999999997
+zero 0.3E1 3
+zero ~0.3E1 ~3
+zero 0.1000000000003E13 1000000000003
+zero ~0.999999999997E12 ~999999999997
+
+Testing fromInt
+
+Testing toInt
+
+Testing ceil,floor,round,trunc
+
+Testing copySign, sameSign, sign, signBit
+Testing max, min
+
+Testing Real.Math.{acos,asin,atan,cos,cosh,exp,ln,log10,sin,sinh,sqrt,tan,tanh}
+nan
+nan
+0.15707963267948966E1
+0.17976931348623157E309
+inf
+inf
+0.709782712893384E3
+0.30825471555991675E3
+0.17976931348623157E309
+inf
+0.13407807929942597E155
+nan
+0.1E1
+nan
+nan
+0.15707963267948966E1
+0.8988465674311579E308
+inf
+inf
+0.7090895657128241E3
+0.30795368556425274E3
+0.8988465674311579E308
+inf
+0.9480751908109176E154
+nan
+0.1E1
+nan
+nan
+0.15699833188439432E1
+0.664271699255767E~1
+inf
+inf
+0.7114769448366463E1
+0.3089905111439398E1
+~0.9977912763176868
+inf
+0.3507135583350036E2
+~0.1502083074494347E2
+0.1E1
+nan
+nan
+0.14896739346939956E1
+0.9647326178866098
+0.10984799433834481E6
+0.2196959886721379E6
+0.2509599262378372E1
+0.1089905111439398E1
+~0.26323179136580094
+0.10984799433379307E6
+0.35071355833500366E1
+~0.2728546609551249
+0.9999999999585633
+nan
+nan
+0.12626272556789118E1
+~0.1E1
+0.11591953275521519E2
+0.23140692632779267E2
+0.11447298858494002E1
+0.49714987269413385
+0.12246063538223773E~15
+0.11548739357257746E2
+0.17724538509055159E1
+~0.12246063538223773E~15
+0.99627207622075
+nan
+nan
+0.12182829050172777E1
+~0.9117339147869651
+0.7610125138662287E1
+0.15154262241479262E2
+0.1E1
+0.4342944819032518
+0.41078129050290885
+0.7544137102816975E1
+0.16487212707001282E1
+~0.4505495340698077
+0.9913289158005998
+nan
+nan
+0.8881737743776796
+0.3342377271245026
+0.18567610569852664E1
+0.34212295362896734E1
+0.20701416938432612
+0.8990511143939793E~1
+0.9424888019316975
+0.1564468479304407E1
+0.11090536506409416E1
+0.2819815734268152E1
+0.8425793256589296
+0.14474840516030247E1
+0.12331227519187199
+0.12238528147180266
+0.9924450321351935
+0.1007574041754155E1
+0.11308844209474893E1
+~0.20955709236097197E1
+~0.9100948885606021
+0.12269009002431533
+0.12331037919333422
+0.3507135583350036
+0.12362406586927442
+0.12238344189440876
+0.1569566326484752E1
+0.1230000310144711E~2
+0.1229999379711563E~2
+0.9999992435500954
+0.10000007564500955E1
+0.10012307567602399E1
+~0.6700741109597811E1
+~0.2910094888560602E1
+0.12299996898555235E~2
+0.12300003101445235E~2
+0.35071355833500364E~1
+0.12300006202893754E~2
+0.12299993797113753E~2
+0.15707963267948966E1
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+false
+false
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+true
+false
+false
+false
+false
+true
+true
+
+Testing compare, compareReal
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
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+LESS LESS
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+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
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+LESS LESS
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+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
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+GREATER GREATER
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+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
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+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
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+LESS LESS
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+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
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+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
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+LESS LESS
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+EQUAL EQUAL
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+LESS LESS
+LESS LESS
+LESS LESS
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+LESS LESS
+LESS LESS
+LESS LESS
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+GREATER GREATER
+EQUAL EQUAL
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+EQUAL EQUAL
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
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+GREATER GREATER
+EQUAL EQUAL
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+EQUAL EQUAL
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+LESS LESS
+EQUAL EQUAL
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+GREATER GREATER
+EQUAL EQUAL
+
+Testing abs
+
+Testing {from,to}ManExp
+
+Testing split
+
+Testing {from,to}Large
\ No newline at end of file
1.4 +750 -367 mlton/regression/real.sml
Index: real.sml
===================================================================
RCS file: /cvsroot/mlton/mlton/regression/real.sml,v
retrieving revision 1.3
retrieving revision 1.4
diff -u -r1.3 -r1.4
--- real.sml 25 Aug 2003 20:00:04 -0000 1.3
+++ real.sml 29 Aug 2003 23:05:00 -0000 1.4
@@ -1,374 +1,757 @@
-(* Auxiliary functions for test cases *)
-
-infix 1 seq
-fun e1 seq e2 = e2;
-fun check b = if b then "OK" else "WRONG";
-fun check' f = (if f () then "OK" else "WRONG") handle _ => "EXN";
-
-fun range (from, to) p =
- let open Int
+functor Test (structure Real: REAL
+ val size: int) =
+struct
+
+open Real
+
+infix == !=
+
+datatype z = datatype IEEEReal.float_class
+datatype z = datatype IEEEReal.rounding_mode
+datatype z = datatype General.order
+
+val b2s = Bool.toString
+val i2s = Int.toString
+val exact = fmt StringCvt.EXACT
+
+val s2r = valOf o fromString
+
+val zero = s2r "0.0"
+val one = s2r "1.0"
+val two = s2r "2.0"
+val nan = posInf + negInf
+
+val reals =
+ [maxFinite,
+ maxFinite / s2r "2.0",
+ s2r "1.23E3",
+ s2r "1.23E1",
+ Math.pi,
+ Math.e,
+ s2r "1.23E0",
+ s2r "1.23E~1",
+ s2r "1.23E~3",
+ minNormalPos,
+ minNormalPos / s2r "2.0",
+ minPos,
+ zero]
+
+fun for f = (List.app f reals; List.app (f o ~) reals)
+
+val reals' =
+ [posInf,
+ negInf,
+ posInf + negInf,
+ maxFinite * s2r "2.0"]
+
+fun for' f = (for f; List.app f reals')
+
+val _ = print (concat ["\nTesting Real", Int.toString size, "\n"])
+
+val _ = print "\nTesting fmt\n"
+
+val _ =
+ for
+ (fn r =>
+ List.app (fn spec => print (concat [fmt spec r, "\n"]))
+ let
+ open StringCvt
in
- (from > to) orelse (p from) andalso (range (from+1, to) p)
- end;
-
-fun checkrange bounds = check o range bounds;
-
-fun tst0 s s' = print (s ^ " \t" ^ s' ^ "\n");
-fun tst s b = tst0 s (check b);
-fun tst' s f = tst0 s (check' f);
-
-fun tstrange s bounds = (tst s) o range bounds
-
-(* test/real.sml -- PS 1995-03-24, 1996-05-16, 1996-07-02, 1996-09-25 *)
-
-(*KILL 05/11/1997 11:01. tho.:
-use "auxil.sml";
-*)
-
-val _ = print "Testing structure Real...\n"
-
-local
- open Real
- infix ==
-in
-
-val test1 = tst "test1" (sign ~57.0 = ~1 andalso sign 99.0 = 1 andalso sign 0.0 = 0);
-val test2 = tst "test2" (sameSign(~255.0, ~256.0) andalso sameSign(255.0, 256.0)
- andalso sameSign(0.0, 0.0));
-val test3 = tst "test3" (sign 1E~300 = 1 andalso sign ~1E~300 = ~1
- andalso sign 1E300 = 1 andalso sign ~1E300 = ~1);
-
-local
- val args = [0.0, 99.0, ~5.0, 1.1, ~1.1, 1.9, ~1.9, 2.5, ~2.5,
- 1000001.4999, ~1000001.4999];
- val minInt = valOf Int.minInt;
- val maxInt = valOf Int.maxInt;
- val rminInt = real minInt;
- val rmaxInt = real maxInt;
-
-(*
- val _ = (print ("minInt = " ^ Int.toString minInt);
- print ("\nmaxInt = " ^ Int.fmt StringCvt.DEC maxInt);
- print ("\nrminInt = " ^ Real.toString rminInt);
- print ("\nrmaxInt = " ^ Real.toString rmaxInt);
- print ("\n"))
-*)
- fun chkminmax s f min max =
- tst' s (fn _ =>
- List.all (fn r => f r = minInt) (rminInt :: min)
- andalso List.all (fn r => f r = maxInt) (rmaxInt :: max));
- fun chkfail s f r =
- tst0 s ((f r; "WRONG")
- handle Overflow => "OK" | _ => "WRONG")
-in
-val test4a = tst "test4a" (map ceil args
- = [0, 99, ~5, 2, ~1, 2, ~1, 3, ~2, 1000002, ~1000001]);
-val test4b = chkminmax "test4b" ceil [rminInt-0.9] [rmaxInt-0.1];
-val test4c = map (chkfail "test4c" ceil) [rminInt-1.0, rmaxInt+0.1];
-
-val test5a = check(map floor args
- = [0, 99, ~5, 1, ~2, 1, ~2, 2, ~3, 1000001, ~1000002]);
-val test5b = chkminmax "test5b" floor [rminInt+0.1] [rmaxInt+0.9];
-val test5c = map (chkfail "test5c" floor) [rminInt-0.1, rmaxInt+1.0];
-
-val test6a = tst "test6a" (map trunc args
- = [0, 99, ~5, 1, ~1, 1, ~1, 2, ~2, 1000001, ~1000001]);
-val test6b = chkminmax "test6b" trunc [rminInt-0.9] [rmaxInt+0.9];
-val test6c = map (chkfail "test6c" trunc) [rminInt-1.0, rmaxInt+1.0];
-
-val test7a = tst "test7a" (map round args
- = [0, 99, ~5, 1, ~1, 2, ~2, 2, ~2, 1000001, ~1000001]);
-val test7b = chkminmax "test7b" round [rminInt-0.5, rmaxInt+0.4]
-val test7c = map (chkfail "test7c" round) [rminInt-0.6, rmaxInt+0.5];
-
-end
-
-val test8 = tst "test8" (0.0 == real 0 andalso 2.0 == real 2 andalso ~2.0 == real ~2);
-
-fun chk(s, r) =
- let val eps = abs r * 1E~10
- in
- tst' "chk" (fn _ =>
- case fromString s of
- SOME res => abs(res - r) <= eps
- | NONE => false)
+ [EXACT, SCI NONE, FIX NONE, GEN NONE,
+ SCI (SOME 0), FIX (SOME 0), GEN (SOME 1),
+ SCI (SOME 10), FIX (SOME 10), GEN (SOME 10)]
+ end)
+
+val _ =
+ let
+ fun doit (s,r, s0, s1, s2, s6) =
+ if (fmt (StringCvt.FIX (SOME 0)) r = s0
+ andalso fmt (StringCvt.FIX (SOME 1)) r = s1
+ andalso fmt (StringCvt.FIX (SOME 2)) r = s2
+ andalso fmt (StringCvt.FIX (SOME 6)) r = s6
+ andalso fmt (StringCvt.FIX NONE) r = s6)
+ then ()
+ else raise Fail (concat ["fmt bug: ", s, " ", exact r])
+ in
+ List.app
+ (fn (s,r, s0, s1, s2, s6) =>
+ (doit (s,r, s0, s1, s2, s6)
+ ; if r == zero
+ then ()
+ else doit (s^"~",~r, "~"^s0, "~"^s1, "~"^s2, "~"^s6)))
+ [("a", s2r "0.0", "0", "0.0", "0.00", "0.000000"),
+ ("b", s2r "1.0", "1", "1.0", "1.00", "1.000000"),
+ ("c", s2r "1.4", "1", "1.4", "1.40", "1.400000"),
+ ("d", s2r "1.5", "2", "1.5", "1.50", "1.500000"),
+ ("e", s2r "2.5", "2", "2.5", "2.50", "2.500000"),
+ ("f", s2r "1.6", "2", "1.6", "1.60", "1.600000"),
+ ("h", s2r "3.141592653589", "3", "3.1", "3.14", "3.141593"),
+ ("j", s2r "91827365478400.0", "91827365478400", "91827365478400.0",
+ "91827365478400.00", "91827365478400.000000")]
+ end
+
+val _ =
+ let
+ fun chkSCI (r, s0, s1, s2, s6) =
+ fmt (StringCvt.SCI (SOME 0)) r = s0
+ andalso fmt (StringCvt.SCI (SOME 1)) r = s1
+ andalso fmt (StringCvt.SCI (SOME 2)) r = s2
+ andalso fmt (StringCvt.SCI (SOME 6)) r = s6
+ andalso fmt (StringCvt.SCI NONE) r = s6
+ in
+ List.app
+ (fn (r, s0, s1, s2, s6) =>
+ if chkSCI(r, s0, s1, s2, s6)
+ andalso (r == zero orelse chkSCI(~r, "~"^s0, "~"^s1, "~"^s2, "~"^s6))
+ then ()
+ else raise Fail (concat ["fmt SCI bug: ", exact r]))
+ [(s2r "0.0", "0E0", "0.0E0", "0.00E0", "0.000000E0"),
+ (s2r "0.0012345678", "1E~3", "1.2E~3", "1.23E~3", "1.234568E~3"),
+ (s2r "1.0", "1E0", "1.0E0", "1.00E0", "1.000000E0"),
+ (s2r "1.4", "1E0", "1.4E0", "1.40E0", "1.400000E0"),
+ (s2r "1.5", "2E0", "1.5E0", "1.50E0", "1.500000E0"),
+ (s2r "1.6", "2E0", "1.6E0", "1.60E0", "1.600000E0"),
+ (s2r "3.141592653589", "3E0", "3.1E0", "3.14E0", "3.141593E0"),
+ (s2r "91827365478400.0", "9E13", "9.2E13", "9.18E13", "9.182737E13")]
+ end
+
+val _ =
+ let
+ fun chkGEN (r, s1, s2, s6, s12) =
+ fmt (StringCvt.GEN (SOME 1)) r = s1
+ andalso fmt (StringCvt.GEN (SOME 2)) r = s2
+ andalso fmt (StringCvt.GEN (SOME 6)) r = s6
+ andalso fmt (StringCvt.GEN (SOME 12)) r = s12
+ andalso fmt (StringCvt.GEN NONE) r = s12
+ andalso toString r = s12;
+ in
+ List.app
+ (fn (r, s1, s2, s6, s12) =>
+ if chkGEN(r, s1, s2, s6, s12)
+(* andalso (r == 0.0 orelse
+ * chkGEN(~r, "~"^s1, "~"^s2, "~"^s6, "~"^s12))
+ *)
+ then ()
+ else raise Fail (concat ["fmt GEN bug: ", exact r]))
+ [(s2r "0.0", "0", "0", "0", "0"),
+ (s2r "1.0", "1", "1", "1", "1"),
+ (s2r "1.5", "2", "1.5", "1.5", "1.5"),
+ (s2r "91827365478400.0", "9E13", "9.2E13", "9.18274E13",
+ "91827365478400")]
+ end
+
+val _ = print "\nTesting scan"
+
+val _ = for' (fn r =>
+ let
+ val r' = valOf (StringCvt.scanString scan (exact r))
+ val _ = print (concat [exact r, "\t", exact r', "\n"])
+ in
+ if r == r' orelse unordered (r, r')
+ then ()
+ else raise Fail "scan bug"
+ end)
+
+val _ = print "\nTesting checkFloat\n"
+val _ =
+ for'
+ (fn r =>
+ if (case class r of
+ INF => ((checkFloat r; false) handle Overflow => true | _ => false)
+ | NAN => ((checkFloat r; false) handle Div => true | _ => false)
+ | _ => (checkFloat r; true) handle _ => false)
+ then ()
+ else raise Fail "checkFloat bug")
+
+val _ = print "\nTesting class, isFinite, isNan, isNormal\n"
+val _ =
+ for'
+ (fn r =>
+ let
+ val c =
+ case class r of
+ INF => "inf"
+ | NAN => "nan"
+ | NORMAL => "normal"
+ | SUBNORMAL => "subnormal"
+ | ZERO => "zero"
+ in
+ print (concat [exact r, "\t", c, "\n",
+ "\tisFinite = ", b2s (isFinite r),
+ "\tisNan = ", b2s (isNan r),
+ "\tisNormal = ", b2s (isNormal r),
+ "\n"])
+ end)
+
+val _ = print "\nTesting maxFinite, minPos, minNormalPos\n"
+
+local
+ val isNormal = Real.isNormal
+ val isFinite = Real.isFinite
+ (*
+ * Total hack!! Bounce r through isNormal (a C call) to force r out of the
+ * FPU. Interestingly, the same hack works for SML/NJ.
+ *)
+ val isPositive = fn r => (Real.isNormal r; r > zero)
+
+ fun min (p: real -> bool): real =
+ let
+ fun loop (x: real): real =
+ let
+ val y = x / two
+ in
+ if p y
+ then loop y
+ else x
+ end
+ in
+ loop one
end
-
-val test9a =
- List.map chk[("12.", 12.0),
- ("12.E", 12.0),
- ("12.E+", 12.0),
- ("12.E-", 12.0),
- ("12.E2", 12.0),
- ("12.E+2", 12.0),
- ("12.E-2", 12.0),
- ("12E+", 12.0),
- ("12E-", 12.0)];
-
-val test9b =
- List.map chk[("0", 0.0),
- ("156", 156.0),
- ("+156", 156.0),
- ("~156", ~156.0),
- ("-156", ~156.0),
- ("156.25", 156.25),
- ("+156.25", 156.25),
- ("~156.25", ~156.25),
- ("-156.25", ~156.25),
- (".25", 0.25),
- ("+.25", 0.25),
- ("~.25", ~0.25),
- ("-.25", ~0.25)];
-
-val test9c =
- List.map chk[ ("156E024", 156E024),
- ("+156E024", 156E024),
- ("~156E024", ~156E024),
- ("-156E024", ~156E024),
- ("156.25E024", 156.25E024),
- ("+156.25E024", 156.25E024),
- ("~156.25E024", ~156.25E024),
- ("-156.25E024", ~156.25E024),
- (".25E024", 0.25E024),
- ("+.25E024", 0.25E024),
- ("~.25E024", ~0.25E024),
- ("-.25E024", ~0.25E024)];
-
-val test9d =
- List.map chk[ ("156E+024", 156E024),
- ("+156E+024", 156E024),
- ("~156E+024", ~156E024),
- ("-156E+024", ~156E024),
- ("156.25E+024", 156.25E024),
- ("+156.25E+024", 156.25E024),
- ("~156.25E+024", ~156.25E024),
- ("-156.25E+024", ~156.25E024),
- (".25E+024", 0.25E024),
- ("+.25E+024", 0.25E024),
- ("~.25E+024", ~0.25E024),
- ("-.25E+024", ~0.25E024)];
-
-val test9e =
- List.map chk[ ("156E~024", 156E~024),
- ("+156E~024", 156E~024),
- ("~156E~024", ~156E~024),
- ("-156E~024", ~156E~024),
- ("156.25E~024", 156.25E~024),
- ("+156.25E~024", 156.25E~024),
- ("~156.25E~024", ~156.25E~024),
- ("-156.25E~024", ~156.25E~024),
- (".25E~024", 0.25E~024),
- ("+.25E~024", 0.25E~024),
- ("~.25E~024", ~0.25E~024),
- ("-.25E~024", ~0.25E~024)];
-
-val test9f =
- List.map chk[ ("156E-024", 156E~024),
- ("+156E-024", 156E~024),
- ("~156E-024", ~156E~024),
- ("-156E-024", ~156E~024),
- ("156.25E-024", 156.25E~024),
- ("+156.25E-024", 156.25E~024),
- ("~156.25E-024", ~156.25E~024),
- ("-156.25E-024", ~156.25E~024),
- (".25E-024", 0.25E~024),
- ("+.25E-024", 0.25E~024),
- ("~.25E-024", ~0.25E~024),
- ("-.25E-024", ~0.25E~024)];
-
-val test9g =
- List.map chk[ ("156e024", 156E024),
- ("+156e024", 156E024),
- ("~156e024", ~156E024),
- ("-156e024", ~156E024),
- ("156.25e024", 156.25E024),
- ("+156.25e024", 156.25E024),
- ("~156.25e024", ~156.25E024),
- ("-156.25e024", ~156.25E024),
- (".25e024", 0.25E024),
- ("+.25e024", 0.25E024),
- ("~.25e024", ~0.25E024),
- ("-.25e024", ~0.25E024)];
-
-val test9h =
- List.map chk[ ("156e+024", 156E024),
- ("+156e+024", 156E024),
- ("~156e+024", ~156E024),
- ("-156e+024", ~156E024),
- ("156.25e+024", 156.25E024),
- ("+156.25e+024", 156.25E024),
- ("~156.25e+024", ~156.25E024),
- ("-156.25e+024", ~156.25E024),
- (".25e+024", 0.25E024),
- ("+.25e+024", 0.25E024),
- ("~.25e+024", ~0.25E024),
- ("-.25e+024", ~0.25E024)];
-
-val test9i =
- List.map chk[ ("156e~024", 156E~024),
- ("+156e~024", 156E~024),
- ("~156e~024", ~156E~024),
- ("-156e~024", ~156E~024),
- ("156.25e~024", 156.25E~024),
- ("+156.25e~024", 156.25E~024),
- ("~156.25e~024", ~156.25E~024),
- ("-156.25e~024", ~156.25E~024),
- (".25e~024", 0.25E~024),
- ("+.25e~024", 0.25E~024),
- ("~.25e~024", ~0.25E~024),
- ("-.25e~024", ~0.25E~024)];
-
-val test9j =
- List.map chk[ ("156e-024", 156E~024),
- ("+156e-024", 156E~024),
- ("~156e-024", ~156E~024),
- ("-156e-024", ~156E~024),
- ("156.25e-024", 156.25E~024),
- ("+156.25e-024", 156.25E~024),
- ("~156.25e-024", ~156.25E~024),
- ("-156.25e-024", ~156.25E~024),
- (".25e-024", 0.25E~024),
- ("+.25e-024", 0.25E~024),
- ("~.25e-024", ~0.25E~024),
- ("-.25e-024", ~0.25E~024)];
-
-fun chk2 s = tst0 "chk2" (case fromString s of NONE => "OK" | _ => "WRONG")
-
-val test10 =
- List.map chk2
- ["e10", "E10",
- "+e10", "+E10",
- "~e10", "~E10",
- "-e10", "-E10"];
-
-(* Note: There is some unclarity concerning rounding. Should 1.45,
-rounded to two significant digits, be "1.4" (nearest even digit) or
-"1.5" (new greater digit) in case of a tie? PS 1996-05-16 *)
-
-val test11a =
- tst0 "test11a" ((fmt (StringCvt.FIX (SOME ~1)) 12.3456; "WRONG")
- handle Size => "OK" | _ => "WRONG")
-
-val test11b =
- tst0 "test11b" "OK"
- (* ((fmt (StringCvt.FIX (SOME 100000)) 12.3456)
- * handle Size => "OK" | _ => "WRONG")
- *)
-
-fun chkFIX (s,r, s0, s1, s2, s6) =
- tst ("chkFIX."^s)(fmt (StringCvt.FIX (SOME 0)) r = s0
- andalso fmt (StringCvt.FIX (SOME 1)) r = s1
- andalso fmt (StringCvt.FIX (SOME 2)) r = s2
- andalso fmt (StringCvt.FIX (SOME 6)) r = s6
- andalso fmt (StringCvt.FIX NONE) r = s6)
-
-fun chkFIX' (s,r, s0, s1, s2, s6) =
- (chkFIX(s,r, s0, s1, s2, s6);
- if r == 0.0 then ()
- else chkFIX(s^"~",~r, "~"^s0, "~"^s1, "~"^s2, "~"^s6))
-
-val test11c =
- List.app chkFIX'
- [("a",0.0, "0", "0.0", "0.00", "0.000000"),
- ("b",1.0, "1", "1.0", "1.00", "1.000000"),
- ("c",1.4, "1", "1.4", "1.40", "1.400000"),
- ("d",1.5, "2", "1.5", "1.50", "1.500000"),
-(* dubious ("e",2.5, "2", "2.5", "2.50", "2.500000"), *)
- ("f",1.6, "2", "1.6", "1.60", "1.600000"),
- ("g",1.45, "1", "1.4", "1.45", "1.450000"),
- ("h",3.141592653589, "3", "3.1", "3.14", "3.141593"),
- ("j",91827364509182.0, "91827364509182", "91827364509182.0",
- "91827364509182.00", "91827364509182.000000")]
-
-local val r = 91827364509182.0
- val s0 = "91827364509182"
- val s1 = "91827364509182.0"
- val s2 = "91827364509182.00"
- val s6 = "91827364509182.000000"
in
-(* fun pr s = (print (" " ^ s ^ "\n"); s)
- val fmt = fn a => pr o (fmt a) *)
- val test11d = tst "test11d" (fmt (StringCvt.FIX (SOME 0)) r = s0)
- val test11e = tst "test11e" (fmt (StringCvt.FIX (SOME 1)) r = s1)
- val test11f = tst "test11f" (fmt (StringCvt.FIX (SOME 2)) r = s2)
- val test11g = tst "test11g" (fmt (StringCvt.FIX (SOME 6)) r = s6)
- val test11h = tst "test11h" (fmt (StringCvt.FIX NONE) r = s6)
+ val minNormalPos = min isNormal
+ val minPos = min isPositive
+
+ val maxFinite =
+ let
+ fun up (x: real): real =
+ let
+ val y = x * two
+ in
+ if isFinite y
+ then up y
+ else x
+ end
+ fun down (x: real, y: real): real =
+ let
+ val y = y / two
+ val z = x + y
+ in
+ if isFinite z
+ then down (z, y)
+ else x
+ end
+ val z = up one
+ in
+ down (z, z)
+ end
end
-val test12a =
- tst0 "test12a" ((fmt (StringCvt.SCI (SOME ~1)) 12.3456; "WRONG")
- handle Size => "OK" | _ => "WRONG")
-
-val test12b =
- tst0 "test12b" "OK"
- (* ((fmt (StringCvt.SCI (SOME 100000)) 12.3456)
- * handle Size => "OK" | _ => "WRONG")
- *)
-
-fun chkSCI (r, s0, s1, s2, s6) =
- fmt (StringCvt.SCI (SOME 0)) r = s0
- andalso fmt (StringCvt.SCI (SOME 1)) r = s1
- andalso fmt (StringCvt.SCI (SOME 2)) r = s2
- andalso fmt (StringCvt.SCI (SOME 6)) r = s6
- andalso fmt (StringCvt.SCI NONE) r = s6;
-
-fun chkSCI' (r, s0, s1, s2, s6) =
- chkSCI(r, s0, s1, s2, s6)
- andalso (r == 0.0 orelse chkSCI(~r, "~"^s0, "~"^s1, "~"^s2, "~"^s6));
-
-val test12c =
- tst' "test12c" (fn _ =>
- List.all chkSCI'
- [(0.0, "0E0", "0.0E0", "0.00E0", "0.000000E0"),
- (0.0012345678, "1E~3", "1.2E~3", "1.23E~3", "1.234568E~3"),
- (1.0, "1E0", "1.0E0", "1.00E0", "1.000000E0"),
- (1.4, "1E0", "1.4E0", "1.40E0", "1.400000E0"),
- (1.5, "2E0", "1.5E0", "1.50E0", "1.500000E0"),
- (1.6, "2E0", "1.6E0", "1.60E0", "1.600000E0"),
- (1.45, "1E0", "1.4E0", "1.45E0", "1.450000E0"),
- (3.141592653589, "3E0", "3.1E0", "3.14E0", "3.141593E0"),
- (91827364509182.0, "9E13", "9.2E13", "9.18E13", "9.182736E13")]);
-
-val test13a =
- tst0 "test13a" ((fmt (StringCvt.GEN (SOME 0)) 12.3456; "WRONG")
- handle Size => "OK" | _ => "WRONG")
-
-val test13b =
- tst0 "test13b" "OK"
- (* ((fmt (StringCvt.GEN (SOME 100000)) 12.3456)
- * handle Size => "OK" | _ => "WRONG")
- *)
-
-fun chkGEN (r, s1, s2, s6, s12) =
- fmt (StringCvt.GEN (SOME 1)) r = s1
- andalso fmt (StringCvt.GEN (SOME 2)) r = s2
- andalso fmt (StringCvt.GEN (SOME 6)) r = s6
- andalso fmt (StringCvt.GEN (SOME 12)) r = s12
- andalso fmt (StringCvt.GEN NONE) r = s12
- andalso toString r = s12;
-
-fun chkGEN' (r, s1, s2, s6, s12) =
- chkGEN(r, s1, s2, s6, s12)
- andalso (r == 0.0 orelse
- chkGEN(~r, "~"^s1, "~"^s2, "~"^s6, "~"^s12));
-
-val test13c =
- tst' "test13c" (fn _ =>
- List.all chkGEN'
- [(0.0, "0", "0", "0", "0"),
- (0.0012345678, "1E~3", "0.0012", "0.00123457",
- "0.0012345678"),
- (1.0, "1", "1", "1", "1"),
- (1.4, "1", "1.4", "1.4", "1.4"),
- (1.5, "2", "1.5", "1.5", "1.5"),
- (1.6, "2", "1.6", "1.6", "1.6"),
- (1.45, "1", "1.4", "1.45", "1.45"),
- (3.141592653589, "3", "3.1", "3.14159", "3.14159265359"),
- (91827364509182.0, "9E13", "9.2E13", "9.18274E13",
- "91827364509200")]);
+val _ = print ((Real.toString maxFinite) ^ "\n")
+val _ = print ((Real.toString Real.maxFinite) ^ "\n")
+val _ = print ((Bool.toString (Real.==(Real.maxFinite, maxFinite))) ^ "\n")
+val _ = print ((Real.toString minPos) ^ "\n")
+val _ = print ((Real.toString Real.minPos) ^ "\n")
+val _ = print ((Bool.toString (Real.==(Real.minPos, minPos))) ^ "\n")
+val _ = print ((Real.toString minNormalPos) ^ "\n")
+val _ = print ((Real.toString Real.minNormalPos) ^ "\n")
+val _ = print ((Bool.toString (Real.==(Real.minNormalPos, minNormalPos))) ^ "\n")
+
+val _ = print "\nTestring fromString\n"
+
+val _ =
+ List.app
+ (fn (s1, s2) =>
+ if valOf (fromString s1) == valOf (fromString s2)
+ then ()
+ else raise Fail "fromString bug")
+ [("12.", "12.0"),
+ ("12.E", "12.0"),
+ ("12.E+", "12.0"),
+ ("12.E-", "12.0"),
+ ("12.E2", "12.0"),
+ ("12.E+2", "12.0"),
+ ("12.E-2", "12.0"),
+ ("12E+", "12.0"),
+ ("12E-", "12.0"),
+ ("0", "0.0"),
+ ("156", "156.0"),
+ ("+156", "156.0"),
+ ("~156", "~156.0"),
+ ("-156", "~156.0"),
+ ("156.25", "156.25"),
+ ("+156.25", "156.25"),
+ ("~156.25", "~156.25"),
+ ("-156.25", "~156.25"),
+ (".25", "0.25"),
+ ("+.25", "0.25"),
+ ("~.25", "~0.25"),
+ ("-.25", "~0.25"),
+ ("156E024", "156E024"),
+ ("+156E024", "156E024"),
+ ("~156E024", "~156E024"),
+ ("-156E024", "~156E024"),
+ ("156.25E024", "156.25E024"),
+ ("+156.25E024", "156.25E024"),
+ ("~156.25E024", "~156.25E024"),
+ ("-156.25E024", "~156.25E024"),
+ (".25E024", "0.25E024"),
+ ("+.25E024", "0.25E024"),
+ ("~.25E024", "~0.25E024"),
+ ("-.25E024", "~0.25E024"),
+ ("156E+024", "156E024"),
+ ("+156E+024", "156E024"),
+ ("~156E+024", "~156E024"),
+ ("-156E+024", "~156E024"),
+ ("156.25E+024", "156.25E024"),
+ ("+156.25E+024", "156.25E024"),
+ ("~156.25E+024", "~156.25E024"),
+ ("-156.25E+024", "~156.25E024"),
+ (".25E+024", "0.25E024"),
+ ("+.25E+024", "0.25E024"),
+ ("~.25E+024", "~0.25E024"),
+ ("-.25E+024", "~0.25E024"),
+ ("156E~024", "156E~024"),
+ ("+156E~024", "156E~024"),
+ ("~156E~024", "~156E~024"),
+ ("-156E~024", "~156E~024"),
+ ("156.25E~024", "156.25E~024"),
+ ("+156.25E~024", "156.25E~024"),
+ ("~156.25E~024", "~156.25E~024"),
+ ("-156.25E~024", "~156.25E~024"),
+ (".25E~024", "0.25E~024"),
+ ("+.25E~024", "0.25E~024"),
+ ("~.25E~024", "~0.25E~024"),
+ ("-.25E~024", "~0.25E~024"),
+ ("156E-024", "156E~024"),
+ ("+156E-024", "156E~024"),
+ ("~156E-024", "~156E~024"),
+ ("-156E-024", "~156E~024"),
+ ("156.25E-024", "156.25E~024"),
+ ("+156.25E-024", "156.25E~024"),
+ ("~156.25E-024", "~156.25E~024"),
+ ("-156.25E-024", "~156.25E~024"),
+ (".25E-024", "0.25E~024"),
+ ("+.25E-024", "0.25E~024"),
+ ("~.25E-024", "~0.25E~024"),
+ ("-.25E-024", "~0.25E~024"),
+ ("156e024", "156E024"),
+ ("+156e024", "156E024"),
+ ("~156e024", "~156E024"),
+ ("-156e024", "~156E024"),
+ ("156.25e024", "156.25E024"),
+ ("+156.25e024", "156.25E024"),
+ ("~156.25e024", "~156.25E024"),
+ ("-156.25e024", "~156.25E024"),
+ (".25e024", "0.25E024"),
+ ("+.25e024", "0.25E024"),
+ ("~.25e024", "~0.25E024"),
+ ("-.25e024", "~0.25E024"),
+ ("156e+024", "156E024"),
+ ("+156e+024", "156E024"),
+ ("~156e+024", "~156E024"),
+ ("-156e+024", "~156E024"),
+ ("156.25e+024", "156.25E024"),
+ ("+156.25e+024", "156.25E024"),
+ ("~156.25e+024", "~156.25E024"),
+ ("-156.25e+024", "~156.25E024"),
+ (".25e+024", "0.25E024"),
+ ("+.25e+024", "0.25E024"),
+ ("~.25e+024", "~0.25E024"),
+ ("-.25e+024", "~0.25E024"),
+ ("156e~024", "156E~024"),
+ ("+156e~024", "156E~024"),
+ ("~156e~024", "~156E~024"),
+ ("-156e~024", "~156E~024"),
+ ("156.25e~024", "156.25E~024"),
+ ("+156.25e~024", "156.25E~024"),
+ ("~156.25e~024", "~156.25E~024"),
+ ("-156.25e~024", "~156.25E~024"),
+ (".25e~024", "0.25E~024"),
+ ("+.25e~024", "0.25E~024"),
+ ("~.25e~024", "~0.25E~024"),
+ ("-.25e~024", "~0.25E~024"),
+ ("156e-024", "156E~024"),
+ ("+156e-024", "156E~024"),
+ ("~156e-024", "~156E~024"),
+ ("-156e-024", "~156E~024"),
+ ("156.25e-024", "156.25E~024"),
+ ("+156.25e-024", "156.25E~024"),
+ ("~156.25e-024", "~156.25E~024"),
+ ("-156.25e-024", "~156.25E~024"),
+ (".25e-024", "0.25E~024"),
+ ("+.25e-024", "0.25E~024"),
+ ("~.25e-024", "~0.25E~024"),
+ ("-.25e-024", "~0.25E~024")]
+
+
+val _ = print "\nTesting {from,to}Decimal\n"
+
+val _ =
+ List.app (fn r =>
+ let
+ val da = valOf (IEEEReal.fromString r)
+ val s1 = IEEEReal.toString da
+ val x = valOf (fromDecimal da)
+ val s2 = exact x
+ val da' = toDecimal x
+ val b = Bool.toString (da = da')
+ in
+ print (concat [s1, " ", s2, " ", b, "\n"])
+ end)
+ ["inf", "+inF", "~iNf", "-Inf",
+ "infinity", "+infinity", "~infinity", "-infinity",
+ "nan", "+naN", "~nAn", "-Nan",
+ "0", "0.0", "0.0E0", "~0",
+ "15",
+ "1.5",
+ "~1.5e+1",
+ "15.0",
+ ".15e~2",
+ ".15e-2",
+ "000.0015e0",
+ "1.2E999",
+ "~1.2E999",
+ "1E~999",
+ "~1E~999",
+ "1E12345678901234567890"]
+
+val _ = print "\nTesting {from,to}LargeInt\n"
+val _ =
+ for
+ (fn r =>
+ let
+ val i = toLargeInt IEEEReal.TO_NEGINF r
+ val r' = fromLargeInt i
+ val _ = print (concat [exact r,
+ "\t", LargeInt.toString i,
+ "\t", exact r',
+ "\n"])
+ in
+ if r' == realFloor r
+ then ()
+ else raise Fail "bug"
+ end)
+
+val roundingModes =
+ [(TO_NEAREST, "nearest"),
+ (TO_NEGINF, "neginf"),
+ (TO_POSINF, "posinf"),
+ (TO_ZERO, "zero")]
+
+val _ =
+ let
+ fun doit (x, mode, name) =
+ let
+ val i = toLargeInt mode x
+ in
+ print (concat [name, "\t", exact x, "\t", LargeInt.toString i, "\n"])
+ end
+ in
+ List.app
+ (fn (mode, name) =>
+ List.app (fn s =>
+ let
+ val x = s2r s
+ in
+ doit (x, mode, name)
+ ; doit (~ x, mode, name)
+ ; doit (s2r "1E12" + x, mode, name)
+ ; doit (s2r "~1E12" + x, mode, name)
+ end)
+ ["0.0", "0.25", "0.5", "0.75", "1.0", "1.25", "1.5", "1.75", "2.0",
+ "2.5", "3.0"])
+ roundingModes
+ end
+
+val _ = print "\nTesting fromInt\n"
+
+val _ =
+ for
+ (fn r =>
+ case SOME (round r) handle Overflow => NONE of
+ NONE => ()
+ | SOME i =>
+ let
+ val r = fromInt i
+ in
+ if r == fromInt (round r)
+ then ()
+ else raise Fail "fromInt bug"
+ end)
+
+val _ = print "\nTesting toInt\n"
+
+val _ =
+ for
+ (fn r =>
+ List.app
+ (fn (mode, name) =>
+ case SOME (toInt mode r) handle Overflow => NONE of
+ NONE => ()
+ | SOME i => if i = LargeInt.toInt (toLargeInt mode r)
+ then ()
+ else raise Fail "bug")
+ roundingModes)
+
+val _ = print "\nTesting ceil,floor,round,trunc\n"
+
+val _ =
+ for
+ (fn r =>
+ List.app
+ (fn (mode, f) =>
+ case SOME (toInt mode r) handle Overflow => NONE of
+ NONE => ()
+ | SOME i => if i = f r
+ then ()
+ else raise Fail "bug")
+ [(TO_NEAREST, round),
+ (TO_NEGINF, floor),
+ (TO_POSINF, ceil),
+ (TO_ZERO, trunc)])
+
+val _ = print "\nTesting copySign, sameSign, sign, signBit"
+val _ =
+ for'
+ (fn r1 =>
+ (for'
+ (fn r2 =>
+ if unordered (r1, r2)
+ orelse ((signBit r1 = Int.< (sign r1, 0)
+ orelse r1 == zero)
+ andalso (sameSign (r1, r2)) = (signBit r1 = signBit r2)
+ andalso sameSign (r2, copySign (r1, r2)))
+ then ()
+ else raise Fail "bug")))
+
+val _ = print "\nTesting max, min\n"
+
+val _ =
+ for'
+ (fn r1 =>
+ for'
+ (fn r2 =>
+ let
+ val max = max (r1, r2)
+ val min = min (r1, r2)
+ in
+ if (isNan r1 orelse (r1 <= max andalso min <= r1))
+ andalso (isNan r2 orelse (r2 <= max andalso min <= r2))
+ andalso (r1 == max orelse r2 == max
+ orelse (isNan r1 andalso isNan r2))
+ andalso (r1 == min orelse r2 == min
+ orelse (isNan r1 andalso isNan r2))
+ then ()
+ else raise Fail "bug"
+ end))
+
+val _ = print "\nTesting Real.Math.{acos,asin,atan,cos,cosh,exp,ln,log10,sin,sinh,sqrt,tan,tanh}\n"
+
+val _ =
+ for' (fn r =>
+ List.app
+ (fn (name, f) =>
+ print (concat [(* name, " ", exact r, " = ", *)
+ exact (f r), "\n"]))
+ let
+ open Real.Math
+ in
+ [("acos", acos),
+ ("asin", asin),
+ ("atan", atan),
+ ("cos", cos),
+ ("cosh", cosh),
+ ("exp", exp),
+ ("ln", ln),
+ ("log10", log10),
+ ("sin", sin),
+ ("sinh", sinh),
+ ("sqrt", sqrt),
+ ("tan", tan),
+ ("tanh", tanh)]
+ end)
+
+val _ = print "\nTesting Real.{*,+,-,/,nextAfter,rem} Real.Math.{atan2,pow}\n"
+val _ =
+ for'
+ (fn r1 =>
+ for'
+ (fn r2 =>
+ List.app
+ (fn (name, f) =>
+ print (concat [(* name, " (", exact r1, ", ", exact r2, ") = ", *)
+ exact (f (r1, r2)), "\n"]))
+ [("*", op * ),
+ ("+", op +),
+ ("-", op -),
+ ("/", op /),
+ ("nextAfter", nextAfter),
+ ("rem", rem),
+ ("atan2", Math.atan2),
+ ("pow", Math.pow)]))
+
+val _ =
+ if List.all (op ==) [(posInf + posInf, posInf),
+ (negInf + negInf, negInf),
+ (posInf - negInf, posInf),
+ (negInf - posInf, negInf)]
+ andalso List.all isNan [nan, nan + one, nan - one, nan * one, nan / one]
+ andalso List.all isNan [posInf + negInf, negInf + posInf, posInf - posInf,
+ negInf - negInf]
+ then ()
+ else raise Fail "bug"
+
+val _ = print "\nTesting *+, *-\n"
+val _ =
+ for
+ (fn r1 =>
+ for
+ (fn r2 =>
+ for
+ (fn r3 =>
+ if *+ (r1, r2, r3) == r1 * r2 + r3
+ then ()
+ else raise Fail "*+ bug")))
+
+val _ = print "\nTesting Real.{realCeil,realFloor,realTrunc}\n"
+val _ =
+ for
+ (fn r =>
+ let
+ val ceil = realCeil r
+ val floor = realFloor r
+ val trunc = realTrunc r
+ val _ = print (concat [exact r, " ",
+ exact ceil, " ",
+ exact floor, " ",
+ exact trunc, "\n"])
+ in
+ if floor <= r
+ andalso r <= ceil
+ andalso abs trunc <= abs r
+ then ()
+ else raise Fail "bug"
+ end)
+
+val _ = print "\nTesting Real.{<,<=,>,>=,==,!=,?=,unordered}\n"
+
+val _ =
+ for
+ (fn r1 =>
+ for
+ (fn r2 =>
+ let
+ val _ =
+ List.app
+ (fn (f, name) =>
+ print (concat [(* name, " (", exact r1, ", ", exact r2, ") = ", *)
+ b2s (f (r1, r2)), "\n"]))
+ [(Real.<, "<"),
+ (Real.>, ">"),
+ (Real.==, "=="),
+ (Real.?=, "?=")]
+ in
+ if unordered (r1, r2) = (isNan r1 orelse isNan r2)
+ andalso (r1 != r2) = not (r1 == r2)
+ andalso if unordered (r1, r2)
+ then (false = (r1 <= r2)
+ andalso false = (r1 < r2)
+ andalso false = (r1 >= r2)
+ andalso false = (r1 > r2)
+ andalso false = (r1 == r2)
+ andalso if isNan r1 andalso isNan r2
+ then true = ?= (r1, r2)
+ else true)
+ else ((r1 < r2) = not (r1 >= r2)
+ andalso (r1 > r2) = not (r1 <= r2))
+ then ()
+ else raise Fail "bug"
+ end))
+
+val _ = print "\nTesting compare, compareReal\n"
+
+val _ =
+ for
+ (fn r =>
+ for
+ (fn r' =>
+ let
+ val c =
+ case SOME (compare (r, r')) handle IEEEReal.Unordered => NONE of
+ NONE => "Unordered"
+ | SOME z =>
+ case z of
+ EQUAL => "EQUAL"
+ | GREATER => "GREATER"
+ | LESS => "LESS"
+ datatype z = datatype IEEEReal.real_order
+ val cr =
+ case compareReal (r, r') of
+ EQUAL => "EQUAL"
+ | GREATER => "GREATER"
+ | LESS => "LESS"
+ | UNORDERED => "UNORDERED"
+ val _ =
+ print (concat [(* exact r, " ", exact r', "\t", *)
+ c, "\t", cr, "\n"])
+ in
+ if compareReal (r, r') = (case compareReal (r', r) of
+ EQUAL => EQUAL
+ | GREATER => LESS
+ | LESS => GREATER
+ | UNORDERED => UNORDERED)
+ then ()
+ else raise Fail "compareReal bug"
+ end))
+
+val _ = print "\nTesting abs\n"
+
+val _ = for (fn r =>
+ if abs r == abs (~ r)
+ then ()
+ else raise Fail "abs bug")
+
+val _ = print "\nTesting {from,to}ManExp\n"
+
+val _ =
+ for
+ (fn x =>
+ let
+ val {exp, man} = toManExp x
+(* val _ = print (concat [exact x, " = ", exact man, " * 2^", i2s exp, "\n"]) *)
+ val x' = fromManExp {exp = exp, man = man}
+(* val _ = print (concat ["\t = ", exact x', "\n"]) *)
+ in
+ if x == x'
+ then ()
+ else raise Fail "bug"
+ end)
+
+val _ = print "\nTesting split\n"
+
+val _ =
+ for (fn r =>
+ let
+ val {whole, frac} = split r
+(* val _ = print (concat ["split ", exact r, " = {whole = ",
+ * exact whole, ", frac = ", exact frac, "}\n"])
+ *)
+ in
+ if realMod r == frac
+ andalso realMod whole == zero
+ andalso abs frac < one
+ andalso sameSign (r, whole)
+ andalso sameSign (r, frac)
+ andalso (case class r of
+ INF => whole == r andalso frac == zero
+ | NAN => isNan whole andalso isNan frac
+ | _ => r == whole + frac)
+ then ()
+ else raise Fail "bug"
+ end)
+
+val _ = print "\nTesting {from,to}Large"
+
+val _ =
+ for
+ (fn r =>
+ if r == fromLarge TO_NEAREST (toLarge r)
+ then ()
+ else raise Fail "{from,to}Large bug")
+
end
-(*
-fun f r n = Real.fmt (StringCvt.GEN (SOME n)) r;
-fun ff r = map (f r) [1,2,6,12];
- *)
+structure Z = Test (structure Real = Real32
+ val size = 32)
+structure Z = Test (structure Real = Real64
+ val size = 64)
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