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Unknown  |  1994-04-16  |  4.0 KB

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hex view
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|00000b60| 32 34 3a 62 25 21 38 3d | 30 3a 62 25 21 31 32 3d |24:b%!8=|0:b%!12=|
|00000b70| 30 3a c8 99 32 36 32 33 | 34 39 2c 2c 62 25 3a 62 |0:..2623|49,,b%:b|
|00000b80| 25 21 30 3d 56 5f 25 3a | 62 25 21 34 3d 33 32 3a |%!0=V_%:|b%!4=32:|
|00000b90| 62 25 21 38 3d 30 3a 62 | 25 21 31 32 3d 30 3a c8 |b%!8=0:b|%!12=0:.|
|00000ba0| 99 32 36 32 33 34 39 2c | 2c 62 25 3a e1 0d 09 d8 |.262349,|,b%:....|
|00000bb0| 3b dd f2 58 5f 28 79 5f | 25 2c 7a 5f 25 29 3a c8 |;..X_(y_|%,z_%):.|
|00000bc0| 99 32 36 32 33 35 34 2c | 79 5f 25 2c 7a 5f 25 2c |.262354,|y_%,z_%,|
|00000bd0| 30 2c 30 2c 2d 31 2c a9 | 28 24 a4 69 28 79 5f 25 |0,0,-1,.|($.i(y_%|
|00000be0| 2c 7a 5f 25 29 29 3a e1 | 0d 0a 32 24 dd f2 42 60 |,z_%)):.|..2$..B`|
|00000bf0| 28 61 2c 62 2c 63 2c 45 | 60 29 3a 73 3d 62 2a 62 |(a,b,c,E|`):s=b*b|
|00000c00| 2d 34 2a 61 2a 63 3a e7 | 73 3c 30 8c 0d 0a 50 c7 |-4*a*c:.|s<0...P.|
|00000c10| 24 a4 69 28 56 5f 25 2c | 32 31 29 3d a4 41 60 28 |$.i(V_%,|21)=.A`(|
|00000c20| 2d 62 2f 28 32 2a 61 29 | 29 3a 24 a4 69 28 56 5f |-b/(2*a)|):$.i(V_|
|00000c30| 25 2c 32 32 29 3d a4 41 | 60 28 2d 62 2f 28 32 2a |%,22)=.A|`(-b/(2*|
|00000c40| 61 29 29 3a 24 a4 69 28 | 56 5f 25 2c 32 33 29 3d |a)):$.i(|V_%,23)=|
|00000c50| a4 41 60 28 28 b6 28 2d | 73 29 29 2f 28 32 2a 61 |.A`((.(-|s))/(2*a|
|00000c60| 29 29 3a 24 a4 69 28 56 | 5f 25 2c 32 34 29 3d a4 |)):$.i(V|_%,24)=.|
|00000c70| 41 60 28 2d 28 b6 28 2d | 73 29 29 2f 28 32 2a 61 |A`(-(.(-|s))/(2*a|
|00000c80| 29 29 3a e7 45 60 8c 24 | a4 69 28 56 5f 25 2c 33 |)):.E`.$|.i(V_%,3|
|00000c90| 32 29 3d 22 4f 6e 65 20 | 72 65 61 6c 20 61 6e 64 |2)="One |real and|
|00000ca0| 20 74 77 6f 20 63 6f 6d | 70 6c 65 78 20 72 6f 6f | two com|plex roo|
|00000cb0| 74 73 22 8b 24 a4 69 28 | 56 5f 25 2c 33 32 29 3d |ts".$.i(|V_%,32)=|
|00000cc0| 22 54 77 6f 20 63 6f 6d | 70 6c 65 78 20 72 6f 6f |"Two com|plex roo|
|00000cd0| 74 73 22 0d 0a 82 87 cc | 3a 24 a4 69 28 56 5f 25 |ts".....|:$.i(V_%|
|00000ce0| 2c 32 31 29 3d a4 41 60 | 28 28 2d 62 2b b6 28 73 |,21)=.A`|((-b+.(s|
|00000cf0| 29 29 2f 28 32 2a 61 29 | 29 3a 24 a4 69 28 56 5f |))/(2*a)|):$.i(V_|
|00000d00| 25 2c 32 32 29 3d a4 41 | 60 28 28 2d 62 2d b6 28 |%,22)=.A|`((-b-.(|
|00000d10| 73 29 29 2f 28 32 2a 61 | 29 29 3a e7 45 60 8c 24 |s))/(2*a|)):.E`.$|
|00000d20| a4 69 28 56 5f 25 2c 33 | 32 29 3d 22 54 68 72 65 |.i(V_%,3|2)="Thre|
|00000d30| 65 20 72 65 61 6c 20 72 | 6f 6f 74 73 22 8b 24 a4 |e real r|oots".$.|
|00000d40| 69 28 56 5f 25 2c 33 32 | 29 3d 22 54 77 6f 20 72 |i(V_%,32|)="Two r|
|00000d50| 65 61 6c 20 72 6f 6f 74 | 73 22 0d 0a aa 07 cd 3a |eal root|s".....:|
|00000d60| e1 0d 0a e6 29 dd a4 41 | 60 28 4e 29 3a ea 41 24 |....)..A|`(N):.A$|
|00000d70| 2c 4c 25 3a 41 24 3d 22 | 22 3a e7 4e 3c 30 8c 41 |,L%:A$="|":.N<0.A|
|00000d80| 24 3d 22 2d 22 3a 4e 3d | 2d 4e 0d 0b 04 2d e7 4e |$="-":N=|-N...-.N|
|00000d90| 3c 31 8c 3d 22 20 22 2b | 41 24 2b 22 30 2e 22 2b |<1.=" "+|A$+"0."+|
|00000da0| c2 c3 28 a8 28 31 30 30 | 30 30 2b 4e 2a 31 30 30 |..(.(100|00+N*100|
|00000db0| 30 30 29 29 2c 34 29 0d | 0b 0e 3a 41 24 3d 41 24 |00)),4).|..:A$=A$|
|00000dc0| 2b c3 28 a8 28 4e 2a 31 | 30 30 30 30 29 29 3a 4c |+.(.(N*1|0000)):L|
|00000dd0| 25 3d a9 28 41 24 29 2d | 34 3a 3d 22 20 22 2b c0 |%=.(A$)-|4:=" "+.|
|00000de0| 41 24 2c 4c 25 29 2b 22 | 2e 22 2b c2 41 24 2c 34 |A$,L%)+"|."+.A$,4|
|00000df0| 29 0d 0b 4a 8f dd f2 43 | 60 3a 78 3d 39 3a 46 60 |)..J...C|`:x=9:F`|
|00000e00| 3d 2d 39 3a c8 95 b4 28 | a4 66 28 78 29 29 3d b4 |=-9:...(|.f(x))=.|
|00000e10| 28 a4 66 28 46 60 29 29 | 3a 78 3d 78 2a 31 30 3a |(.f(F`))|:x=x*10:|
|00000e20| 46 60 3d 46 60 2a 31 30 | 3a ce 3a e3 4e 25 3d 31 |F`=F`*10|:.:.N%=1|
|00000e30| b8 34 30 3a 78 3d 78 2d | a4 66 28 78 29 2f 28 a4 |.40:x=x-|.f(x)/(.|
|00000e40| 64 28 78 29 29 3a 46 60 | 3d 46 60 2d a4 66 28 46 |d(x)):F`|=F`-.f(F|
|00000e50| 60 29 2f 28 a4 64 28 46 | 60 29 29 3a ed 3a 79 3d |`)/(.d(F|`)):.:y=|
|00000e60| 94 28 a4 66 28 78 29 29 | 3a 47 60 3d 94 28 a4 66 |.(.f(x))|:G`=.(.f|
|00000e70| 28 46 60 29 29 3a e7 47 | 60 3c 79 8c 79 3d 47 60 |(F`)):.G|`<y.y=G`|
|00000e80| 0d 0b 86 83 f5 3a 48 60 | 3d 79 3a 78 3d 78 2d a4 |.....:H`|=y:x=x-.|
|00000e90| 66 28 78 29 2f 28 a4 64 | 28 78 29 29 3a 46 60 3d |f(x)/(.d|(x)):F`=|
|00000ea0| 46 60 2d a4 66 28 46 60 | 29 2f 28 a4 64 28 46 60 |F`-.f(F`|)/(.d(F`|
|00000eb0| 29 29 3a 78 3d 78 2d a4 | 66 28 78 29 2f 28 a4 64 |)):x=x-.|f(x)/(.d|
|00000ec0| 28 78 29 29 3a 46 60 3d | 46 60 2d a4 66 28 46 60 |(x)):F`=|F`-.f(F`|
|00000ed0| 29 2f 28 a4 64 28 46 60 | 29 29 3a 4e 25 2b 3d 32 |)/(.d(F`|)):N%+=2|
|00000ee0| 3a 79 3d 94 28 a4 66 28 | 78 29 29 3a 47 60 3d 94 |:y=.(.f(|x)):G`=.|
|00000ef0| 28 a4 66 28 46 60 29 29 | 3a e7 47 60 3c 79 8c 79 |(.f(F`))|:.G`<y.y|
|00000f00| 3d 47 60 0d 0b c2 47 fd | 94 28 a4 66 28 78 29 29 |=G`...G.|.(.f(x))|
|00000f10| 3c 31 45 2d 34 84 94 28 | a4 66 28 46 60 29 29 3c |<1E-4..(|.f(F`))<|
|00000f20| 31 45 2d 34 84 4e 25 3e | 31 30 30 30 84 79 3d 48 |1E-4.N%>|1000.y=H|
|00000f30| 60 3a e7 94 28 a4 66 28 | 46 60 29 29 3c 94 28 a4 |`:..(.f(|F`))<.(.|
|00000f40| 66 28 78 29 29 8c 78 3d | 46 60 0d 0b d6 12 e7 4e |f(x)).x=|F`.....N|
|00000f50| 25 3d 31 30 30 31 8c 4d | 25 2b 3d 31 0d 0b e0 37 |%=1001.M|%+=1...7|
|00000f60| 24 a4 69 28 56 5f 25 2c | 32 30 29 3d a4 41 60 28 |$.i(V_%,|20)=.A`(|
|00000f70| 78 29 3a f2 42 60 28 61 | 2c 62 2b 61 2a 78 2c 63 |x):.B`(a|,b+a*x,c|
|00000f80| 2b 28 62 2a 78 29 2b 28 | 61 2a 78 2a 78 29 2c b9 |+(b*x)+(|a*x*x),.|
|00000f90| 29 3a e1 0d 0c 08 1d dd | a4 66 28 78 29 3a 3d 61 |):......|.f(x):=a|
|00000fa0| 2a 78 5e 33 2b 62 2a 78 | 5e 32 2b 63 2a 78 2b 64 |*x^3+b*x|^2+c*x+d|
|00000fb0| 0d 0c 26 2a dd a4 64 28 | 78 29 3a 7a 3d 33 2a 61 |..&*..d(|x):z=3*a|
|00000fc0| 2a 78 5e 32 2b 32 2a 62 | 2a 78 2b 63 3a e7 7a 3d |*x^2+2*b|*x+c:.z=|
|00000fd0| 30 8c 7a 3d 30 2e 30 30 | 30 31 0d 0c 44 06 3d 7a |0.z=0.00|01..D.=z|
|00000fe0| 0d ff | |.. | |
+--------+-------------------------+-------------------------+--------+--------+