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Diff for /OpenXM/src/kan96xx/Kan/dr.sm1 between version 1.3 and 1.10

version 1.3, 2000/02/02 09:07:59 version 1.10, 2002/11/08 14:18:01
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 % $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.2 1999/11/08 00:16:05 takayama Exp $  % $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.9 2002/02/12 08:54:55 takayama Exp $
 %% dr.sm1 (Define Ring) 1994/9/25, 26  %% dr.sm1 (Define Ring) 1994/9/25, 26
 %% This file is error clean.  %% This file is error clean.
   
 @@@.quiet {   }  @@@.quiet {   }
 { (macro package : dr.sm1,   9/26,1995 --- Version 2/2, 2000. ) message } ifelse  { (macro package : dr.sm1,   9/26,1995 --- Version 12/10, 2000. ) message } ifelse
   
 /ctrlC-hook {  /ctrlC-hook {
 %%% define your own routing in case of error.  %%% define your own routing in case of error.
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   /arg1 set    /arg1 set
   [/vars /n /i /xList /dList /param] pushVariables    [/vars /n /i /xList /dList /param] pushVariables
   [    [
        (This is an obsolete macro. Use ring_of_differential_difference_operators)
         error
      (mmLarger) (matrix) switch_function       (mmLarger) (matrix) switch_function
      (mpMult)   (difference) switch_function       (mpMult)   (difference) switch_function
      (red@)     (module1) switch_function       (red@)     (module1) switch_function
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 } def  } def
   
   
   /ring_of_differential_difference_operators {
     /arg1 set
     [/vars /n /i /xList /dList /param /dvar /evar /vars2 ] pushVariables
     [
        /vars arg1 def
        vars tag 6 eq not {
          ( List is expected as the argument for ring_of_differential_difference_operators ) error
        } { } ifelse
        vars 0 get /dvar set
        vars 1 get /evar set
        (mmLarger) (matrix) switch_function
        (mpMult)   (difference) switch_function
        (red@)     (module1) switch_function
        (groebner) (standard) switch_function
        (isSameComponent) (x) switch_function
   
        [dvar to_records pop] /vars set %[x y z]
        vars reverse /xList set         %[z y x]
   
        [evar to_records pop] /vars2 set %[s1 s2]
   
        vars2 reverse  {@@@.Esymbol 2 1 roll 2 cat_n} map
        xList
        join /xList set   %[Es2 Es1 z y x]
   
        vars2 reverse
        vars {@@@.Dsymbol 2 1 roll 2 cat_n} map
        reverse join /dList set              %[s2 s1 Dz Dy Dx]
        [(H)] xList join [@@@.esymbol] join /xList set
        [(h)] dList join [@@@.Esymbol] join /dList set
        [0 1 1 << vars2 length 1 add >>  << xList length >>
           1 1 << vars2 length 1 add >> << xList length 1 sub >> ] /param set
        [ xList dList param ] /arg1 set
     ] pop
     popVariables
     arg1
   } def
   
 /reverse {  /reverse {
   /arg1 set    /arg1 set
   arg1 length 1 lt    arg1 length 1 lt
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   (type?) data_conversion  RationalFunctionP eq    (type?) data_conversion  RationalFunctionP eq
 } def  } def
   
   [(isRing)
    [(obj isRing bool) ]
   ] putUsages
   /isRing {
     (type?) data_conversion  RingP eq
   } def
   
 /toString.tmp {  /toString.tmp {
   /arg1 set    /arg1 set
   [/obj /fname] pushVariables    [/obj /fname] pushVariables
Line 2276  newline
Line 2322  newline
   
 /tolower.aux {  /tolower.aux {
   /arg1 set    /arg1 set
   arg1 64 gt  arg1 96 lt and    arg1 64 gt  arg1 91 lt and
   { arg1 32 add }    { arg1 32 add }
   { arg1 } ifelse    { arg1 } ifelse
 } def  } def
Line 3533  $ [ff ff] fromVectors :: $ 
Line 3579  $ [ff ff] fromVectors :: $ 
 [(nl is the newline character.)  [(nl is the newline character.)
  $Example: [(You can break line) nl (here.)] cat message$   $Example: [(You can break line) nl (here.)] cat message$
 ]] putUsages  ]] putUsages
   
   /to_int {
     /arg1 set
     [/to-int /ob /ans] pushVariables
     [
       /ob arg1 def
       /ans ob def
       ob isArray {
         ob {to_int} map /ans set
         /LLL.to_int goto
       } {  } ifelse
       ob isInteger {
         ob (universalNumber) dc /ans set
         /LLL.to_int goto
       } {  } ifelse
       /LLL.to_int
       /arg1 ans def
     ] pop
     popVariables
     arg1
   } def
   [(to_int)
   [(obj to_int obj2)
    (All integers in obj are changed to universalNumber.)
    (Example: /ff [1 2 [(hello) (0).]] def  ff { tag } map ::)
    (         ff to_int { tag } map :: )
   ]] putUsages
   
   /define_ring_variables {
     [/in-define_ring_variables /drv._v /drv._p /drv._v0] pushVariables
   %% You cannot use these names for names for polynomials.
     [
        /drv._v getVariableNames def
        /drv._v0 drv._v def
        drv._v { dup /drv._p set (/) 2 1 roll ( $) drv._p ($. def ) } map cat
        /drv._v set
   %     drv._v message
        [(parse) drv._v] extension
     ] pop
     popVariables
   } def
   [(define_ring_variables)
   [(It binds  a variable <<a>> in the current ring to the sm1 variable <<a>>.)
    (For example, if x is a variable in the current ring, it defines the sm1)
    (variable x by /x (x) def)
   ]] putUsages
   
   /boundp {
     /arg1 set
     [/a /ans] pushVariables
     [
       /a arg1 def
       [(parse) [(/) a ( load tag 0 eq { /ans 0 def } )
                       (               { /ans 1 def } ifelse )] cat ] extension
       /arg1 ans def
     ] pop
     popVariables
     arg1
   } def
   [(boundp)
    [( a boundp b)
     (string a, b is 0 or 1.)
     (If the variable named << a >> is bounded to a value,)
     (it returns 1 else it returns 0.)
     $Example: (hoge) boundp ::$
   ]] putUsages
   [(isSubstr)
    [
     (s1 s2 isSubstr pos)
     (If s1 is a substring of s2, isSubstr returns the position in s2 from which)
     (s1 is contained in s2.)
     (If s1 is not a substring of s2, then isSubstr returns -1.)
    ]
   ] putUsages
   /isSubstr {
     /arg2 set /arg1 set
     [/in-isSubstr /s1 /s2 /i1 /i2 /n1 /n2
      /ans /flg
     ]  pushVariables
     [
       /s1 arg1 def
       /s2 arg2 def
       s1 (array) dc /s1 set
       s2 (array) dc /s2 set
       /n1 s1 length def
       /n2 s2 length def
       /ans -1 def
       0 1 n2 n1 sub {
         /i2 set
         /flg 1 def
         0 1 n1 1 sub {
           /i1 set
           s1 i1 get s2 i2 i1 add get eq {
           } {
             /flg 0 def exit
           } ifelse
         } for
         flg {
           /ans i2 def
           /isSubstr.L2 goto
         } { /ans -1 def } ifelse
       } for
       /isSubstr.L2
       /arg1 ans def
     ] pop
     popVariables
     arg1
   } def
   
 ;  ;
   

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  Added in v.1.10

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