1452 lines
36 KiB
Text
1452 lines
36 KiB
Text
0
|
|
= 0
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|
1
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= 1
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-1
|
|
= -1
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|
42
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= 42
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1+1
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= 2
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|
1-1
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= 0
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- 1
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= -1
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|
0-1
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|
= -1
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|
max_int
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= 1073741823
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|
min_int
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= -1073741824
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-max_int
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= -1073741823
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|
-min_int
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= 1073741824
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|
2^300
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
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2^120
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= 1329227995784915872903807060280344576
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2^300+2^120
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= 2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
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2^300-2^120
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= 2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
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2^300+(-(2^120))
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= 2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
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2^120-2^300
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= -2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
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2^120+(-(2^300))
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= -2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
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-(2^120)+(-(2^300))
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= -2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
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-(2^120)-2^300
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= -2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
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2^300-2^300
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= 0
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2^121
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= 2658455991569831745807614120560689152
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2^121+2^120
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= 3987683987354747618711421180841033728
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2^121-2^120
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= 1329227995784915872903807060280344576
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2^121+(-(2^120))
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= 1329227995784915872903807060280344576
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2^120-2^121
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= -1329227995784915872903807060280344576
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2^120+(-(2^121))
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= -1329227995784915872903807060280344576
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-(2^120)+(-(2^121))
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= -3987683987354747618711421180841033728
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-(2^120)-2^121
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= -3987683987354747618711421180841033728
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2^121+0
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= 2658455991569831745807614120560689152
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2^121-0
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= 2658455991569831745807614120560689152
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0+2^121
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= 2658455991569831745807614120560689152
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0-2^121
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= -2658455991569831745807614120560689152
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2^300+1
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
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2^300-1
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
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1+2^300
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
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1-2^300
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
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2^300+(-1)
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
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2^300-(-1)
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
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(-1)+2^300
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
|
(-1)-2^300
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
|
-(2^300)+1
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
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|
-(2^300)-1
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
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1+(-(2^300))
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
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1-(-(2^300))
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
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-(2^300)+(-1)
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
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-(2^300)-(-1)
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
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(-1)+(-(2^300))
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
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(-1)-(-(2^300))
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
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max_int+1
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= 1073741824
|
|
min_int-1
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= -1073741825
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-max_int-1
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= -1073741824
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-min_int-1
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= 1073741823
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5! = 120
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12! = 479001600
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15! = 1307674368000
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20! = 2432902008176640000
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25! = 15511210043330985984000000
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50! = 30414093201713378043612608166064768844377641568960512000000000000
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2^300*2^120
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= 2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576
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2^120*2^300
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= 2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576
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2^300*(-(2^120))
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= -2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576
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2^120*(-(2^300))
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= -2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576
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-(2^120)*(-(2^300))
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= 2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576
|
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2^121*2^120
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= 3533694129556768659166595001485837031654967793751237916243212402585239552
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2^120*2^121
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= 3533694129556768659166595001485837031654967793751237916243212402585239552
|
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2^121*0
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= 0
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0*2^121
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= 0
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|
2^300*1
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
1*2^300
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
2^300*(-1)
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
(-1)*2^300
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|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
-(2^300)*1
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
1*(-(2^300))
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= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
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-(2^300)*(-1)
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
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(-1)*(-(2^300))
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
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1*(2^30)
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= 1073741824
|
|
1*(2^62)
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= 4611686018427387904
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(2^30)*(2^30)
|
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= 1152921504606846976
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(2^62)*(2^62)
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= 21267647932558653966460912964485513216
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|
0+1
|
|
= 1
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|
1+1
|
|
= 2
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-1+1
|
|
= 0
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|
2+1
|
|
= 3
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|
-2+1
|
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= -1
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(2^300)+1
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
|
-(2^300)+1
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
|
0-1
|
|
= -1
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|
1-1
|
|
= 0
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-1-1
|
|
= -2
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|
2-1
|
|
= 1
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|
-2-1
|
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= -3
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(2^300)-1
|
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
|
-(2^300)-1
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
|
max_int+1
|
|
= 1073741824
|
|
min_int-1
|
|
= -1073741825
|
|
-max_int-1
|
|
= -1073741824
|
|
-min_int-1
|
|
= 1073741823
|
|
abs(0)
|
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= 0
|
|
abs(1)
|
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= 1
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abs(-1)
|
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= 1
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abs(min_int)
|
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= 1073741824
|
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abs(2^300)
|
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
abs(-(2^300))
|
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= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
max_nativeint
|
|
= 2147483647
|
|
max_int32
|
|
= 2147483647
|
|
max_int64
|
|
= 9223372036854775807
|
|
to_int 1
|
|
= true,1
|
|
to_int max_int
|
|
= true,1073741823
|
|
to_int max_nativeint
|
|
= false,ovf
|
|
to_int max_int32
|
|
= false,ovf
|
|
to_int max_int64
|
|
= false,ovf
|
|
to_int32 1
|
|
= true,1
|
|
to_int32 max_int
|
|
= true,1073741823
|
|
to_int32 max_nativeint
|
|
= true,2147483647
|
|
to_int32 max_int32
|
|
= true,2147483647
|
|
to_int32 max_int64
|
|
= false,ovf
|
|
to_int64 1
|
|
= true,1
|
|
to_int64 max_int
|
|
= true,1073741823
|
|
to_int64 max_nativeint
|
|
= true,2147483647
|
|
to_int64 max_int32
|
|
= true,2147483647
|
|
to_int64 max_int64
|
|
= true,9223372036854775807
|
|
to_nativeint 1
|
|
= true,1
|
|
to_nativeint max_int
|
|
= true,1073741823
|
|
to_nativeint max_nativeint
|
|
= true,2147483647
|
|
to_nativeint max_int32
|
|
= true,2147483647
|
|
to_nativeint max_int64
|
|
= false,ovf
|
|
to_int -min_int
|
|
= false,ovf
|
|
to_int -min_nativeint
|
|
= false,ovf
|
|
to_int -min_int32
|
|
= false,ovf
|
|
to_int -min_int64
|
|
= false,ovf
|
|
to_int32 -min_int
|
|
= true,1073741824
|
|
to_int32 -min_nativeint
|
|
= false,ovf
|
|
to_int32 -min_int32
|
|
= false,ovf
|
|
to_int32 -min_int64
|
|
= false,ovf
|
|
to_int64 -min_int
|
|
= true,1073741824
|
|
to_int64 -min_nativeint
|
|
= true,2147483648
|
|
to_int64 -min_int32
|
|
= true,2147483648
|
|
to_int64 -min_int64
|
|
= false,ovf
|
|
to_nativeint -min_int
|
|
= true,1073741824
|
|
to_nativeint -min_nativeint
|
|
= false,ovf
|
|
to_nativeint -min_int32
|
|
= false,ovf
|
|
to_nativeint -min_int64
|
|
= false,ovf
|
|
to_int32_unsigned 1
|
|
= true,1
|
|
to_int32_unsigned -1
|
|
= false,ovf
|
|
to_int32_unsigned max_int
|
|
= true,1073741823
|
|
to_int32_unsigned max_nativeint
|
|
= true,2147483647
|
|
to_int32_unsigned max_int32
|
|
= true,2147483647
|
|
to_int32_unsigned 2max_int32
|
|
= true,-2
|
|
to_int32_unsigned 3max_int32
|
|
= false,ovf
|
|
to_int32_unsigned max_int64
|
|
= false,ovf
|
|
to_int64_unsigned 1
|
|
= true,1
|
|
to_int64_unsigned -1
|
|
= false,ovf
|
|
to_int64_unsigned max_int
|
|
= true,1073741823
|
|
to_int64_unsigned max_nativeint
|
|
= true,2147483647
|
|
to_int64_unsigned max_int32
|
|
= true,2147483647
|
|
to_int64_unsigned max_int64
|
|
= true,9223372036854775807
|
|
to_int64_unsigned 2max_int64
|
|
= true,-2
|
|
to_int64_unsigned 3max_int64
|
|
= false,ovf
|
|
to_nativeint_unsigned 1
|
|
= true,1
|
|
to_nativeint_unsigned -1
|
|
= false,ovf
|
|
to_nativeint_unsigned max_int
|
|
= true,1073741823
|
|
to_nativeint_unsigned max_nativeint
|
|
= true,2147483647
|
|
to_nativeint_unsigned 2max_nativeint
|
|
= true,-2
|
|
to_nativeint_unsigned max_int32
|
|
= true,2147483647
|
|
to_nativeint_unsigned max_int64
|
|
= false,ovf
|
|
to_nativeint_unsigned 2max_int64
|
|
= false,ovf
|
|
to_nativeint_unsigned 3max_int64
|
|
= false,ovf
|
|
of_int32_unsigned -1
|
|
= 4294967295
|
|
of_int64_unsigned -1
|
|
= 18446744073709551615
|
|
of_nativeint_unsigned -1
|
|
= 4294967295
|
|
of_float 1.
|
|
= 1
|
|
of_float -1.
|
|
= -1
|
|
of_float pi
|
|
= 3
|
|
of_float 2^30
|
|
= 1073741824
|
|
of_float 2^31
|
|
= 2147483648
|
|
of_float 2^32
|
|
= 4294967296
|
|
of_float 2^33
|
|
= 8589934592
|
|
of_float -2^30
|
|
= -1073741824
|
|
of_float -2^31
|
|
= -2147483648
|
|
of_float -2^32
|
|
= -4294967296
|
|
of_float -2^33
|
|
= -8589934592
|
|
of_float 2^61
|
|
= 2305843009213693952
|
|
of_float 2^62
|
|
= 4611686018427387904
|
|
of_float 2^63
|
|
= 9223372036854775808
|
|
of_float 2^64
|
|
= 18446744073709551616
|
|
of_float 2^65
|
|
= 36893488147419103232
|
|
of_float -2^61
|
|
= -2305843009213693952
|
|
of_float -2^62
|
|
= -4611686018427387904
|
|
of_float -2^63
|
|
= -9223372036854775808
|
|
of_float -2^64
|
|
= -18446744073709551616
|
|
of_float -2^65
|
|
= -36893488147419103232
|
|
of_float 2^120
|
|
= 1329227995784915872903807060280344576
|
|
of_float 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
of_float -2^120
|
|
= -1329227995784915872903807060280344576
|
|
of_float -2^300
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
of_float 0.5
|
|
= 0
|
|
of_float -0.5
|
|
= 0
|
|
of_float 200.5
|
|
= 200
|
|
of_float -200.5
|
|
= -200
|
|
to_float 0
|
|
= OK
|
|
to_float 1
|
|
= OK
|
|
to_float -1
|
|
= OK
|
|
to_float 2^120
|
|
= OK
|
|
to_float -2^120
|
|
= OK
|
|
to_float (2^120-1)
|
|
= OK
|
|
to_float (-2^120+1)
|
|
= OK
|
|
to_float 2^63
|
|
= OK
|
|
to_float -2^63
|
|
= OK
|
|
to_float (2^63-1)
|
|
= OK
|
|
to_float (-2^63-1)
|
|
= OK
|
|
to_float (-2^63+1)
|
|
= OK
|
|
to_float 2^300
|
|
= OK
|
|
to_float -2^300
|
|
= OK
|
|
to_float (2^300-1)
|
|
= OK
|
|
to_float (-2^300+1)
|
|
= OK
|
|
of_string 12
|
|
= 12
|
|
of_string 0x12
|
|
= 18
|
|
of_string 0b10
|
|
= 2
|
|
of_string 0o12
|
|
= 10
|
|
of_string -12
|
|
= -12
|
|
of_string -0x12
|
|
= -18
|
|
of_string -0b10
|
|
= -2
|
|
of_string -0o12
|
|
= -10
|
|
of_string 000123456789012345678901234567890
|
|
= 123456789012345678901234567890
|
|
2^120 / 2^300 (trunc)
|
|
= 0
|
|
max_int / 2 (trunc)
|
|
= 536870911
|
|
(2^300+1) / 2^120 (trunc)
|
|
= 1532495540865888858358347027150309183618739122183602176
|
|
(-(2^300+1)) / 2^120 (trunc)
|
|
= -1532495540865888858358347027150309183618739122183602176
|
|
(2^300+1) / (-(2^120)) (trunc)
|
|
= -1532495540865888858358347027150309183618739122183602176
|
|
(-(2^300+1)) / (-(2^120)) (trunc)
|
|
= 1532495540865888858358347027150309183618739122183602176
|
|
2^120 / 2^300 (ceil)
|
|
= 1
|
|
max_int / 2 (ceil)
|
|
= 536870912
|
|
(2^300+1) / 2^120 (ceil)
|
|
= 1532495540865888858358347027150309183618739122183602177
|
|
(-(2^300+1)) / 2^120 (ceil)
|
|
= -1532495540865888858358347027150309183618739122183602176
|
|
(2^300+1) / (-(2^120)) (ceil)
|
|
= -1532495540865888858358347027150309183618739122183602176
|
|
(-(2^300+1)) / (-(2^120)) (ceil)
|
|
= 1532495540865888858358347027150309183618739122183602177
|
|
2^120 / 2^300 (floor)
|
|
= 0
|
|
max_int / 2 (floor)
|
|
= 536870911
|
|
(2^300+1) / 2^120 (floor)
|
|
= 1532495540865888858358347027150309183618739122183602176
|
|
(-(2^300+1)) / 2^120 (floor)
|
|
= -1532495540865888858358347027150309183618739122183602177
|
|
(2^300+1) / (-(2^120)) (floor)
|
|
= -1532495540865888858358347027150309183618739122183602177
|
|
(-(2^300+1)) / (-(2^120)) (floor)
|
|
= 1532495540865888858358347027150309183618739122183602176
|
|
2^120 % 2^300
|
|
= 1329227995784915872903807060280344576
|
|
max_int % 2
|
|
= 1
|
|
(2^300+1) % 2^120
|
|
= 1
|
|
(-(2^300+1)) % 2^120
|
|
= -1
|
|
(2^300+1) % (-(2^120))
|
|
= 1
|
|
(-(2^300+1)) % (-(2^120))
|
|
= -1
|
|
2^120 /,% 2^300
|
|
= 0, 1329227995784915872903807060280344576
|
|
max_int /,% 2
|
|
= 536870911, 1
|
|
(2^300+1) /,% 2^120
|
|
= 1532495540865888858358347027150309183618739122183602176, 1
|
|
(-(2^300+1)) /,% 2^120
|
|
= -1532495540865888858358347027150309183618739122183602176, -1
|
|
(2^300+1) /,% (-(2^120))
|
|
= -1532495540865888858358347027150309183618739122183602176, 1
|
|
(-(2^300+1)) /,% (-(2^120))
|
|
= 1532495540865888858358347027150309183618739122183602176, -1
|
|
1 & 2
|
|
= 0
|
|
1 & 2^300
|
|
= 0
|
|
2^120 & 2^300
|
|
= 0
|
|
2^300 & 2^120
|
|
= 0
|
|
2^300 & 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
2^300 & 0
|
|
= 0
|
|
-2^120 & 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
2^120 & -2^300
|
|
= 0
|
|
-2^120 & -2^300
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
-2^300 & 2^120
|
|
= 0
|
|
2^300 & -2^120
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
-2^300 & -2^120
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
1 | 2
|
|
= 3
|
|
1 | 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
|
2^120 | 2^300
|
|
= 2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
|
|
2^300 | 2^120
|
|
= 2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
|
|
2^300 | 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
2^300 | 0
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
-2^120 | 2^300
|
|
= -1329227995784915872903807060280344576
|
|
2^120 | -2^300
|
|
= -2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
|
|
-2^120 | -2^300
|
|
= -1329227995784915872903807060280344576
|
|
-2^300 | 2^120
|
|
= -2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
|
|
2^300 | -2^120
|
|
= -1329227995784915872903807060280344576
|
|
-2^300 | -2^120
|
|
= -1329227995784915872903807060280344576
|
|
1 ^ 2
|
|
= 3
|
|
1 ^ 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
|
2^120 ^ 2^300
|
|
= 2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
|
|
2^300 ^ 2^120
|
|
= 2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
|
|
2^300 ^ 2^300
|
|
= 0
|
|
2^300 ^ 0
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
-2^120 ^ 2^300
|
|
= -2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
|
|
2^120 ^ -2^300
|
|
= -2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
|
|
-2^120 ^ -2^300
|
|
= 2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
|
|
-2^300 ^ 2^120
|
|
= -2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
|
|
2^300 ^ -2^120
|
|
= -2037035976334486086268445688409378161051468393665936251965368445139297172667143766463741952
|
|
-2^300 ^ -2^120
|
|
= 2037035976334486086268445688409378161051468393665936249306912453569465426859529645903052800
|
|
~0
|
|
= -1
|
|
~1
|
|
= -2
|
|
~2
|
|
= -3
|
|
~2^300
|
|
= -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397377
|
|
~(-1)
|
|
= 0
|
|
~(-2)
|
|
= 1
|
|
~(-(2^300))
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397375
|
|
0 >> 1
|
|
= 0
|
|
0 >> 100
|
|
= 0
|
|
2 >> 1
|
|
= 1
|
|
2 >> 2
|
|
= 0
|
|
2 >> 100
|
|
= 0
|
|
2^300 >> 1
|
|
= 1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688
|
|
2^300 >> 2
|
|
= 509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344
|
|
2^300 >> 100
|
|
= 1606938044258990275541962092341162602522202993782792835301376
|
|
2^300 >> 200
|
|
= 1267650600228229401496703205376
|
|
2^300 >> 300
|
|
= 1
|
|
2^300 >> 400
|
|
= 0
|
|
-1 >> 1
|
|
= -1
|
|
-2 >> 1
|
|
= -1
|
|
-2 >> 2
|
|
= -1
|
|
-2 >> 100
|
|
= -1
|
|
-2^300 >> 1
|
|
= -1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688
|
|
-2^300 >> 2
|
|
= -509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344
|
|
-2^300 >> 100
|
|
= -1606938044258990275541962092341162602522202993782792835301376
|
|
-2^300 >> 200
|
|
= -1267650600228229401496703205376
|
|
-2^300 >> 300
|
|
= -1
|
|
-2^300 >> 400
|
|
= -1
|
|
0 >>0 1
|
|
= 0
|
|
0 >>0 100
|
|
= 0
|
|
2 >>0 1
|
|
= 1
|
|
2 >>0 2
|
|
= 0
|
|
2 >>0 100
|
|
= 0
|
|
2^300 >>0 1
|
|
= 1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688
|
|
2^300 >>0 2
|
|
= 509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344
|
|
2^300 >>0 100
|
|
= 1606938044258990275541962092341162602522202993782792835301376
|
|
2^300 >>0 200
|
|
= 1267650600228229401496703205376
|
|
2^300 >>0 300
|
|
= 1
|
|
2^300 >>0 400
|
|
= 0
|
|
-1 >>0 1
|
|
= 0
|
|
-2 >>0 1
|
|
= -1
|
|
-2 >>0 2
|
|
= 0
|
|
-2 >>0 100
|
|
= 0
|
|
-2^300 >>0 1
|
|
= -1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688
|
|
-2^300 >>0 2
|
|
= -509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344
|
|
-2^300 >>0 100
|
|
= -1606938044258990275541962092341162602522202993782792835301376
|
|
-2^300 >>0 200
|
|
= -1267650600228229401496703205376
|
|
-2^300 >>0 300
|
|
= -1
|
|
-2^300 >>0 400
|
|
= 0
|
|
0 << 1
|
|
= 0
|
|
0 << 100
|
|
= 0
|
|
2 << 1
|
|
= 4
|
|
2 << 32
|
|
= 8589934592
|
|
2 << 64
|
|
= 36893488147419103232
|
|
2 << 299
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
2^120 << 1
|
|
= 2658455991569831745807614120560689152
|
|
2^120 << 180
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
compare 1 2
|
|
= -1
|
|
compare 1 1
|
|
= 0
|
|
compare 2 1
|
|
= 1
|
|
compare 2^300 2^120
|
|
= 1
|
|
compare 2^120 2^120
|
|
= 0
|
|
compare 2^120 2^300
|
|
= -1
|
|
compare 2^121 2^120
|
|
= 1
|
|
compare 2^120 2^121
|
|
= -1
|
|
compare 2^300 -2^120
|
|
= 1
|
|
compare 2^120 -2^120
|
|
= 1
|
|
compare 2^120 -2^300
|
|
= 1
|
|
compare -2^300 2^120
|
|
= -1
|
|
compare -2^120 2^120
|
|
= -1
|
|
compare -2^120 2^300
|
|
= -1
|
|
compare -2^300 -2^120
|
|
= -1
|
|
compare -2^120 -2^120
|
|
= 0
|
|
compare -2^120 -2^300
|
|
= 1
|
|
equal 1 2
|
|
= false
|
|
equal 1 1
|
|
= true
|
|
equal 2 1
|
|
= false
|
|
equal 2^300 2^120
|
|
= false
|
|
equal 2^120 2^120
|
|
= true
|
|
equal 2^120 2^300
|
|
= false
|
|
equal 2^121 2^120
|
|
= false
|
|
equal 2^120 2^121
|
|
= false
|
|
equal 2^120 -2^120
|
|
= false
|
|
equal -2^120 2^120
|
|
= false
|
|
equal -2^120 -2^120
|
|
= true
|
|
sign 0
|
|
= 0
|
|
sign 1
|
|
= 1
|
|
sign -1
|
|
= -1
|
|
sign 2^300
|
|
= 1
|
|
sign -2^300
|
|
= -1
|
|
gcd 0 0
|
|
= 0
|
|
gcd 0 -137
|
|
= 137
|
|
gcd 12 27
|
|
= 3
|
|
gcd 27 12
|
|
= 3
|
|
gcd 27 27
|
|
= 27
|
|
gcd -12 27
|
|
= 3
|
|
gcd 12 -27
|
|
= 3
|
|
gcd -12 -27
|
|
= 3
|
|
gcd 0 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
gcd 2^120 2^300
|
|
= 1329227995784915872903807060280344576
|
|
gcd 2^300 2^120
|
|
= 1329227995784915872903807060280344576
|
|
gcd 0 -2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
gcd 2^120 -2^300
|
|
= 1329227995784915872903807060280344576
|
|
gcd 2^300 -2^120
|
|
= 1329227995784915872903807060280344576
|
|
gcd -2^120 2^300
|
|
= 1329227995784915872903807060280344576
|
|
gcd -2^300 2^120
|
|
= 1329227995784915872903807060280344576
|
|
gcd -2^120 -2^300
|
|
= 1329227995784915872903807060280344576
|
|
gcd -2^300 -2^120
|
|
= 1329227995784915872903807060280344576
|
|
gcdext 12 27
|
|
= 3, -2, 1
|
|
gcdext 27 12
|
|
= 3, 1, -2
|
|
gcdext 27 27
|
|
= 27, 0, 1
|
|
gcdext -12 27
|
|
= 3, 2, 1
|
|
gcdext 12 -27
|
|
= 3, -2, -1
|
|
gcdext -12 -27
|
|
= 3, 2, -1
|
|
gcdext 2^120 2^300
|
|
= 1329227995784915872903807060280344576, 1, 0
|
|
gcdext 2^300 2^120
|
|
= 1329227995784915872903807060280344576, 0, 1
|
|
gcdext 12 0
|
|
= 12, 1, 0
|
|
gcdext 0 27
|
|
= 27, 0, 1
|
|
gcdext -12 0
|
|
= 12, -1, 0
|
|
gcdext 0 -27
|
|
= 27, 0, -1
|
|
gcdext 2^120 0
|
|
= 1329227995784915872903807060280344576, 1, 0
|
|
gcdext 0 2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376, 0, 1
|
|
gcdext -2^120 0
|
|
= 1329227995784915872903807060280344576, -1, 0
|
|
gcdext 0 -2^300
|
|
= 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376, 0, -1
|
|
gcdext 0 0
|
|
= 0, 0, 0
|
|
lcm 0 0 = 0
|
|
lcm 10 12 = 60
|
|
lcm -10 12 = 60
|
|
lcm 10 -12 = 60
|
|
lcm -10 -12 = 60
|
|
lcm 0 12 = 0
|
|
lcm 0 -12 = 0
|
|
lcm 10 0 = 0
|
|
lcm -10 0 = 0
|
|
lcm 2^120 2^300 = 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
lcm 2^120 -2^300 = 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
lcm -2^120 2^300 = 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
lcm -2^120 -2^300 = 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
lcm 2^120 0 = 0
|
|
lcm -2^120 0 = 0
|
|
is_odd 0
|
|
= false
|
|
is_odd 1
|
|
= true
|
|
is_odd 2
|
|
= false
|
|
is_odd 3
|
|
= true
|
|
is_odd 2^120
|
|
= false
|
|
is_odd 2^120+1
|
|
= true
|
|
is_odd 2^300
|
|
= false
|
|
is_odd 2^300+1
|
|
= true
|
|
sqrt 0
|
|
= 0
|
|
sqrt 1
|
|
= 1
|
|
sqrt 2
|
|
= 1
|
|
sqrt 2^120
|
|
= 1152921504606846976
|
|
sqrt 2^121
|
|
= 1630477228166597776
|
|
sqrt_rem 0
|
|
= 0, 0
|
|
sqrt_rem 1
|
|
= 1, 0
|
|
sqrt_rem 2
|
|
= 1, 1
|
|
sqrt_rem 2^120
|
|
= 1152921504606846976, 0
|
|
sqrt_rem 2^121
|
|
= 1630477228166597776, 1772969445592542976
|
|
popcount 0
|
|
= 0
|
|
popcount 1
|
|
= 1
|
|
popcount 2
|
|
= 1
|
|
popcount max_int32
|
|
= 31
|
|
popcount 2^120
|
|
= 1
|
|
popcount (2^120-1)
|
|
= 120
|
|
hamdist 0 0
|
|
= 0
|
|
hamdist 0 1
|
|
= 1
|
|
hamdist 0 2^300
|
|
= 1
|
|
hamdist 2^120 2^120
|
|
= 0
|
|
hamdist 2^120 (2^120-1)
|
|
= 121
|
|
hamdist 2^120 2^300
|
|
= 2
|
|
hamdist (2^120-1) (2^300-1)
|
|
= 180
|
|
divisible 42 7
|
|
= true
|
|
divisible 43 7
|
|
= false
|
|
divisible 0 0
|
|
= true
|
|
divisible 0 2^120
|
|
= true
|
|
divisible 2 2^120
|
|
= false
|
|
divisible 2^300 2^120
|
|
= true
|
|
divisible (2^300-1) 32
|
|
= false
|
|
divisible min_int (max_int+1)
|
|
= true
|
|
divisible (max_int+1) min_int
|
|
= true
|
|
hash(2^120)
|
|
= 691199303
|
|
hash(2^121)
|
|
= 382412560
|
|
hash(2^300)
|
|
= 61759632
|
|
2^120 = 2^300
|
|
= false
|
|
2^120 = 2^120
|
|
= true
|
|
2^120 = 2^120
|
|
= true
|
|
2^120 > 2^300
|
|
= false
|
|
2^120 < 2^300
|
|
= true
|
|
2^120 = 1
|
|
= false
|
|
2^120 > 1
|
|
= true
|
|
2^120 < 1
|
|
= false
|
|
-2^120 > 1
|
|
= false
|
|
-2^120 < 1
|
|
= true
|
|
demarshal 2^120, 2^300, 1
|
|
= 1329227995784915872903807060280344576, 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376, 1
|
|
demarshal -2^120, -2^300, -1
|
|
= -1329227995784915872903807060280344576, -2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376, -1
|
|
format %i 0 = /0/
|
|
format %i 1 = /1/
|
|
format %i -1 = /-1/
|
|
format %i 2^30 = /1073741824/
|
|
format %i -2^30 = /-1073741824/
|
|
format % i 1 = / 1/
|
|
format %+i 1 = /+1/
|
|
format %x 0 = /0/
|
|
format %x 1 = /1/
|
|
format %x -1 = /-1/
|
|
format %x 2^30 = /40000000/
|
|
format %x -2^30 = /-40000000/
|
|
format %X 0 = /0/
|
|
format %X 1 = /1/
|
|
format %X -1 = /-1/
|
|
format %X 2^30 = /40000000/
|
|
format %X -2^30 = /-40000000/
|
|
format %o 0 = /0/
|
|
format %o 1 = /1/
|
|
format %o -1 = /-1/
|
|
format %o 2^30 = /10000000000/
|
|
format %o -2^30 = /-10000000000/
|
|
format %10i 0 = / 0/
|
|
format %10i 1 = / 1/
|
|
format %10i -1 = / -1/
|
|
format %10i 2^30 = /1073741824/
|
|
format %10i -2^30 = /-1073741824/
|
|
format %-10i 0 = /0 /
|
|
format %-10i 1 = /1 /
|
|
format %-10i -1 = /-1 /
|
|
format %-10i 2^30 = /1073741824/
|
|
format %-10i -2^30 = /-1073741824/
|
|
format %+10i 0 = / +0/
|
|
format %+10i 1 = / +1/
|
|
format %+10i -1 = / -1/
|
|
format %+10i 2^30 = /+1073741824/
|
|
format %+10i -2^30 = /-1073741824/
|
|
format % 10i 0 = / 0/
|
|
format % 10i 1 = / 1/
|
|
format % 10i -1 = / -1/
|
|
format % 10i 2^30 = / 1073741824/
|
|
format % 10i -2^30 = /-1073741824/
|
|
format %010i 0 = /0000000000/
|
|
format %010i 1 = /0000000001/
|
|
format %010i -1 = /-000000001/
|
|
format %010i 2^30 = /1073741824/
|
|
format %010i -2^30 = /-1073741824/
|
|
format %#x 0 = /0x0/
|
|
format %#x 1 = /0x1/
|
|
format %#x -1 = /-0x1/
|
|
format %#x 2^30 = /0x40000000/
|
|
format %#x -2^30 = /-0x40000000/
|
|
format %#X 0 = /0X0/
|
|
format %#X 1 = /0X1/
|
|
format %#X -1 = /-0X1/
|
|
format %#X 2^30 = /0X40000000/
|
|
format %#X -2^30 = /-0X40000000/
|
|
format %#o 0 = /0o0/
|
|
format %#o 1 = /0o1/
|
|
format %#o -1 = /-0o1/
|
|
format %#o 2^30 = /0o10000000000/
|
|
format %#o -2^30 = /-0o10000000000/
|
|
format %#10x 0 = / 0x0/
|
|
format %#10x 1 = / 0x1/
|
|
format %#10x -1 = / -0x1/
|
|
format %#10x 2^30 = /0x40000000/
|
|
format %#10x -2^30 = /-0x40000000/
|
|
format %#10X 0 = / 0X0/
|
|
format %#10X 1 = / 0X1/
|
|
format %#10X -1 = / -0X1/
|
|
format %#10X 2^30 = /0X40000000/
|
|
format %#10X -2^30 = /-0X40000000/
|
|
format %#10o 0 = / 0o0/
|
|
format %#10o 1 = / 0o1/
|
|
format %#10o -1 = / -0o1/
|
|
format %#10o 2^30 = /0o10000000000/
|
|
format %#10o -2^30 = /-0o10000000000/
|
|
format %#-10x 0 = /0x0 /
|
|
format %#-10x 1 = /0x1 /
|
|
format %#-10x -1 = /-0x1 /
|
|
format %#-10x 2^30 = /0x40000000/
|
|
format %#-10x -2^30 = /-0x40000000/
|
|
format %#-10X 0 = /0X0 /
|
|
format %#-10X 1 = /0X1 /
|
|
format %#-10X -1 = /-0X1 /
|
|
format %#-10X 2^30 = /0X40000000/
|
|
format %#-10X -2^30 = /-0X40000000/
|
|
format %#-10o 0 = /0o0 /
|
|
format %#-10o 1 = /0o1 /
|
|
format %#-10o -1 = /-0o1 /
|
|
format %#-10o 2^30 = /0o10000000000/
|
|
format %#-10o -2^30 = /-0o10000000000/
|
|
extract 42 0 1 = 0 (passed)
|
|
extract 42 0 5 = 10 (passed)
|
|
extract 42 0 32 = 42 (passed)
|
|
extract 42 0 64 = 42 (passed)
|
|
extract 42 1 1 = 1 (passed)
|
|
extract 42 1 5 = 21 (passed)
|
|
extract 42 1 32 = 21 (passed)
|
|
extract 42 1 63 = 21 (passed)
|
|
extract 42 1 64 = 21 (passed)
|
|
extract 42 1 127 = 21 (passed)
|
|
extract 42 1 128 = 21 (passed)
|
|
extract 42 69 12 = 0 (passed)
|
|
extract -42 0 1 = 0 (passed)
|
|
extract -42 0 5 = 22 (passed)
|
|
extract -42 0 32 = 4294967254 (passed)
|
|
extract -42 0 64 = 18446744073709551574 (passed)
|
|
extract -42 1 1 = 1 (passed)
|
|
extract -42 1 5 = 11 (passed)
|
|
extract -42 1 32 = 4294967275 (passed)
|
|
extract -42 1 63 = 9223372036854775787 (passed)
|
|
extract -42 1 64 = 18446744073709551595 (passed)
|
|
extract -42 1 127 = 170141183460469231731687303715884105707 (passed)
|
|
extract -42 1 128 = 340282366920938463463374607431768211435 (passed)
|
|
extract -42 69 12 = 4095 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 0 1 = 1 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 0 64 = 15536040655639606317 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 128 1 = 1 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 128 5 = 19 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 131 32 = 2516587394 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 175 63 = 7690089207107781587 (passed)
|
|
extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 277 123 = 9888429935207999867003931753264634841 (passed)
|
|
signed_extract 42 0 1 = 0 (passed)
|
|
signed_extract 42 0 5 = 10 (passed)
|
|
signed_extract 42 0 32 = 42 (passed)
|
|
signed_extract 42 0 64 = 42 (passed)
|
|
signed_extract 42 1 1 = -1 (passed)
|
|
signed_extract 42 1 5 = -11 (passed)
|
|
signed_extract 42 1 32 = 21 (passed)
|
|
signed_extract 42 1 63 = 21 (passed)
|
|
signed_extract 42 1 64 = 21 (passed)
|
|
signed_extract 42 1 127 = 21 (passed)
|
|
signed_extract 42 1 128 = 21 (passed)
|
|
signed_extract 42 69 12 = 0 (passed)
|
|
signed_extract -42 0 1 = 0 (passed)
|
|
signed_extract -42 0 5 = -10 (passed)
|
|
signed_extract -42 0 32 = -42 (passed)
|
|
signed_extract -42 0 64 = -42 (passed)
|
|
signed_extract -42 1 1 = -1 (passed)
|
|
signed_extract -42 1 5 = 11 (passed)
|
|
signed_extract -42 1 32 = -21 (passed)
|
|
signed_extract -42 1 63 = -21 (passed)
|
|
signed_extract -42 1 64 = -21 (passed)
|
|
signed_extract -42 1 127 = -21 (passed)
|
|
signed_extract -42 1 128 = -21 (passed)
|
|
signed_extract -42 69 12 = -1 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 0 1 = -1 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 0 64 = -2910703418069945299 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 128 1 = -1 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 128 5 = -13 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 131 32 = -1778379902 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 175 63 = -1533282829746994221 (passed)
|
|
signed_extract 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701 277 123 = -745394031071327116226524728978121767 (passed)
|
|
to_bits 0
|
|
=
|
|
marshal round trip 0
|
|
= OK
|
|
to_bits 2
|
|
= 02 00 00 00
|
|
marshal round trip 2
|
|
= OK
|
|
to_bits -2
|
|
= 02 00 00 00
|
|
marshal round trip -2
|
|
= OK
|
|
to_bits 1073741824
|
|
= 00 00 00 40
|
|
marshal round trip 1073741824
|
|
= OK
|
|
to_bits -1073741824
|
|
= 00 00 00 40
|
|
marshal round trip -1073741824
|
|
= OK
|
|
to_bits 4611686018427387904
|
|
= 00 00 00 00 00 00 00 40
|
|
marshal round trip 4611686018427387904
|
|
= OK
|
|
to_bits -4611686018427387904
|
|
= 00 00 00 00 00 00 00 40
|
|
marshal round trip -4611686018427387904
|
|
= OK
|
|
to_bits 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
= 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 00 00
|
|
marshal round trip 2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376
|
|
= OK
|
|
to_bits 1329227995784915872903807060280344576
|
|
= 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 01
|
|
marshal round trip 1329227995784915872903807060280344576
|
|
= OK
|
|
to_bits 2658455991569831745807614120560689152
|
|
= 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 02
|
|
marshal round trip 2658455991569831745807614120560689152
|
|
= OK
|
|
to_bits 1073741823
|
|
= ff ff ff 3f
|
|
marshal round trip 1073741823
|
|
= OK
|
|
to_bits -1073741824
|
|
= 00 00 00 40
|
|
marshal round trip -1073741824
|
|
= OK
|
|
to_bits 2147483647
|
|
= ff ff ff 7f
|
|
marshal round trip 2147483647
|
|
= OK
|
|
to_bits -2147483648
|
|
= 00 00 00 80
|
|
marshal round trip -2147483648
|
|
= OK
|
|
to_bits 9223372036854775807
|
|
= ff ff ff ff ff ff ff 7f
|
|
marshal round trip 9223372036854775807
|
|
= OK
|
|
to_bits -9223372036854775808
|
|
= 00 00 00 00 00 00 00 80
|
|
marshal round trip -9223372036854775808
|
|
= OK
|
|
to_bits 2147483647
|
|
= ff ff ff 7f
|
|
marshal round trip 2147483647
|
|
= OK
|
|
to_bits -2147483648
|
|
= 00 00 00 80
|
|
marshal round trip -2147483648
|
|
= OK
|
|
testbit 0 (passed)
|
|
testbit 1 (passed)
|
|
testbit -42 (passed)
|
|
testbit 31415926535897932384626433832795028841971693993751058209749445923078164062862089986 (passed)
|
|
testbit -2277361236363886404304896 (passed)
|
|
numbits / trailing_zeros 0 (passed)
|
|
numbits / trailing_zeros 1 (passed)
|
|
numbits / trailing_zeros -42 (passed)
|
|
numbits / trailing_zeros 1511006158790834639735881728 (passed)
|
|
numbits / trailing_zeros -2277361236363886404304896 (passed)
|
|
random_bits 45 = 25076743995969
|
|
random_bits 45 = 33510880286625
|
|
random_bits 12 = 1263
|
|
random_int 123456 = 103797
|
|
random_int 9999999 = 1089068
|
|
- 0 = 0
|
|
- 1 = -1
|
|
- -1 = 1
|
|
- +inf = -inf
|
|
- -inf = +inf
|
|
- undef = undef
|
|
1/ 0 = +inf
|
|
1/ 1 = 1
|
|
1/ -1 = -1
|
|
1/ +inf = 0
|
|
1/ -inf = 0
|
|
1/ undef = undef
|
|
abs 0 = 0
|
|
abs 1 = 1
|
|
abs -1 = 1
|
|
abs +inf = +inf
|
|
abs -inf = +inf
|
|
abs undef = undef
|
|
0 + 0 = 0
|
|
0 + 1 = 1
|
|
0 + -1 = -1
|
|
0 + +inf = +inf
|
|
0 + -inf = -inf
|
|
0 + undef = undef
|
|
1 + 0 = 1
|
|
1 + 1 = 2
|
|
1 + -1 = 0
|
|
1 + +inf = +inf
|
|
1 + -inf = -inf
|
|
1 + undef = undef
|
|
-1 + 0 = -1
|
|
-1 + 1 = 0
|
|
-1 + -1 = -2
|
|
-1 + +inf = +inf
|
|
-1 + -inf = -inf
|
|
-1 + undef = undef
|
|
+inf + 0 = +inf
|
|
+inf + 1 = +inf
|
|
+inf + -1 = +inf
|
|
+inf + +inf = +inf
|
|
+inf + -inf = undef
|
|
+inf + undef = undef
|
|
-inf + 0 = -inf
|
|
-inf + 1 = -inf
|
|
-inf + -1 = -inf
|
|
-inf + +inf = undef
|
|
-inf + -inf = -inf
|
|
-inf + undef = undef
|
|
undef + 0 = undef
|
|
undef + 1 = undef
|
|
undef + -1 = undef
|
|
undef + +inf = undef
|
|
undef + -inf = undef
|
|
undef + undef = undef
|
|
0 - 0 = 0
|
|
0 - 1 = -1
|
|
0 - -1 = 1
|
|
0 - +inf = -inf
|
|
0 - -inf = +inf
|
|
0 - undef = undef
|
|
1 - 0 = 1
|
|
1 - 1 = 0
|
|
1 - -1 = 2
|
|
1 - +inf = -inf
|
|
1 - -inf = +inf
|
|
1 - undef = undef
|
|
-1 - 0 = -1
|
|
-1 - 1 = -2
|
|
-1 - -1 = 0
|
|
-1 - +inf = -inf
|
|
-1 - -inf = +inf
|
|
-1 - undef = undef
|
|
+inf - 0 = +inf
|
|
+inf - 1 = +inf
|
|
+inf - -1 = +inf
|
|
+inf - +inf = undef
|
|
+inf - -inf = +inf
|
|
+inf - undef = undef
|
|
-inf - 0 = -inf
|
|
-inf - 1 = -inf
|
|
-inf - -1 = -inf
|
|
-inf - +inf = -inf
|
|
-inf - -inf = undef
|
|
-inf - undef = undef
|
|
undef - 0 = undef
|
|
undef - 1 = undef
|
|
undef - -1 = undef
|
|
undef - +inf = undef
|
|
undef - -inf = undef
|
|
undef - undef = undef
|
|
0 * 0 = 0
|
|
0 * 1 = 0
|
|
0 * -1 = 0
|
|
0 * +inf = undef
|
|
0 * -inf = undef
|
|
0 * undef = undef
|
|
1 * 0 = 0
|
|
1 * 1 = 1
|
|
1 * -1 = -1
|
|
1 * +inf = +inf
|
|
1 * -inf = -inf
|
|
1 * undef = undef
|
|
-1 * 0 = 0
|
|
-1 * 1 = -1
|
|
-1 * -1 = 1
|
|
-1 * +inf = -inf
|
|
-1 * -inf = +inf
|
|
-1 * undef = undef
|
|
+inf * 0 = undef
|
|
+inf * 1 = +inf
|
|
+inf * -1 = -inf
|
|
+inf * +inf = +inf
|
|
+inf * -inf = -inf
|
|
+inf * undef = undef
|
|
-inf * 0 = undef
|
|
-inf * 1 = -inf
|
|
-inf * -1 = +inf
|
|
-inf * +inf = -inf
|
|
-inf * -inf = +inf
|
|
-inf * undef = undef
|
|
undef * 0 = undef
|
|
undef * 1 = undef
|
|
undef * -1 = undef
|
|
undef * +inf = undef
|
|
undef * -inf = undef
|
|
undef * undef = undef
|
|
0 / 0 = undef
|
|
0 / 1 = 0
|
|
0 / -1 = 0
|
|
0 / +inf = 0
|
|
0 / -inf = 0
|
|
0 / undef = undef
|
|
1 / 0 = +inf
|
|
1 / 1 = 1
|
|
1 / -1 = -1
|
|
1 / +inf = 0
|
|
1 / -inf = 0
|
|
1 / undef = undef
|
|
-1 / 0 = -inf
|
|
-1 / 1 = -1
|
|
-1 / -1 = 1
|
|
-1 / +inf = 0
|
|
-1 / -inf = 0
|
|
-1 / undef = undef
|
|
+inf / 0 = +inf
|
|
+inf / 1 = +inf
|
|
+inf / -1 = -inf
|
|
+inf / +inf = undef
|
|
+inf / -inf = undef
|
|
+inf / undef = undef
|
|
-inf / 0 = -inf
|
|
-inf / 1 = -inf
|
|
-inf / -1 = +inf
|
|
-inf / +inf = undef
|
|
-inf / -inf = undef
|
|
-inf / undef = undef
|
|
undef / 0 = undef
|
|
undef / 1 = undef
|
|
undef / -1 = undef
|
|
undef / +inf = undef
|
|
undef / -inf = undef
|
|
undef / undef = undef
|
|
0 * 1/ 0 = undef
|
|
0 * 1/ 1 = 0
|
|
0 * 1/ -1 = 0
|
|
0 * 1/ +inf = 0
|
|
0 * 1/ -inf = 0
|
|
0 * 1/ undef = undef
|
|
1 * 1/ 0 = +inf
|
|
1 * 1/ 1 = 1
|
|
1 * 1/ -1 = -1
|
|
1 * 1/ +inf = 0
|
|
1 * 1/ -inf = 0
|
|
1 * 1/ undef = undef
|
|
-1 * 1/ 0 = -inf
|
|
-1 * 1/ 1 = -1
|
|
-1 * 1/ -1 = 1
|
|
-1 * 1/ +inf = 0
|
|
-1 * 1/ -inf = 0
|
|
-1 * 1/ undef = undef
|
|
+inf * 1/ 0 = +inf
|
|
+inf * 1/ 1 = +inf
|
|
+inf * 1/ -1 = -inf
|
|
+inf * 1/ +inf = undef
|
|
+inf * 1/ -inf = undef
|
|
+inf * 1/ undef = undef
|
|
-inf * 1/ 0 = -inf
|
|
-inf * 1/ 1 = -inf
|
|
-inf * 1/ -1 = +inf
|
|
-inf * 1/ +inf = undef
|
|
-inf * 1/ -inf = undef
|
|
-inf * 1/ undef = undef
|
|
undef * 1/ 0 = undef
|
|
undef * 1/ 1 = undef
|
|
undef * 1/ -1 = undef
|
|
undef * 1/ +inf = undef
|
|
undef * 1/ -inf = undef
|
|
undef * 1/ undef = undef
|
|
mul_2exp (1) 0 = 0
|
|
mul_2exp (1) 1 = 2
|
|
mul_2exp (1) -1 = -2
|
|
mul_2exp (1) +inf = +inf
|
|
mul_2exp (1) -inf = -inf
|
|
mul_2exp (1) undef = undef
|
|
mul_2exp (2) 0 = 0
|
|
mul_2exp (2) 1 = 4
|
|
mul_2exp (2) -1 = -4
|
|
mul_2exp (2) +inf = +inf
|
|
mul_2exp (2) -inf = -inf
|
|
mul_2exp (2) undef = undef
|
|
div_2exp (1) 0 = 0
|
|
div_2exp (1) 1 = 1/2
|
|
div_2exp (1) -1 = -1/2
|
|
div_2exp (1) +inf = +inf
|
|
div_2exp (1) -inf = -inf
|
|
div_2exp (1) undef = undef
|
|
div_2exp (2) 0 = 0
|
|
div_2exp (2) 1 = 1/4
|
|
div_2exp (2) -1 = -1/4
|
|
div_2exp (2) +inf = +inf
|
|
div_2exp (2) -inf = -inf
|
|
div_2exp (2) undef = undef
|
|
identity checking 0 0
|
|
identity checking 0 1
|
|
identity checking 0 -1
|
|
identity checking 0 +inf
|
|
identity checking 0 -inf
|
|
identity checking 0 undef
|
|
identity checking 1 0
|
|
identity checking 1 1
|
|
identity checking 1 -1
|
|
identity checking 1 +inf
|
|
identity checking 1 -inf
|
|
identity checking 1 undef
|
|
identity checking -1 0
|
|
identity checking -1 1
|
|
identity checking -1 -1
|
|
identity checking -1 +inf
|
|
identity checking -1 -inf
|
|
identity checking -1 undef
|
|
identity checking +inf 0
|
|
identity checking +inf 1
|
|
identity checking +inf -1
|
|
identity checking +inf +inf
|
|
identity checking +inf -inf
|
|
identity checking +inf undef
|
|
identity checking -inf 0
|
|
identity checking -inf 1
|
|
identity checking -inf -1
|
|
identity checking -inf +inf
|
|
identity checking -inf -inf
|
|
identity checking -inf undef
|
|
identity checking undef 0
|
|
identity checking undef 1
|
|
identity checking undef -1
|
|
identity checking undef +inf
|
|
identity checking undef -inf
|
|
identity checking undef undef
|