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Diff for /OpenXM/src/kan96xx/Kan/dr.sm1 between version 1.29 and 1.30

version 1.29, 2004/08/22 12:52:34 version 1.30, 2004/08/23 08:33:55
Line 1 
Line 1 
 % $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.28 2004/05/13 05:33:10 takayama Exp $  % $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.29 2004/08/22 12:52:34 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.
   
Line 3954  $ [ff ff] fromVectors :: $ 
Line 3954  $ [ff ff] fromVectors :: $ 
  [ ([a b c ...] denominator r)   [ ([a b c ...] denominator r)
    ( a denominator r )     ( a denominator r )
    (cf. dc, numerator)     (cf. dc, numerator)
      (Output is Z or a polynomial.)
  ]   ]
 ] putUsages  ] putUsages
 % test data.  % test data.
Line 3964  $ [ff ff] fromVectors :: $ 
Line 3965  $ [ff ff] fromVectors :: $ 
   [/pp /dd /ii /rr] pushVariables    [/pp /dd /ii /rr] pushVariables
   [    [
     /pp arg1 def      /pp arg1 def
       pp to_univNum /pp set
     {      {
       pp isArray {        pp isArray {
         pp { denominator } map /dd set          pp { denominator } map /dd set
Line 3986  $ [ff ff] fromVectors :: $ 
Line 3988  $ [ff ff] fromVectors :: $ 
  [ ([a b c ...] numerator r)   [ ([a b c ...] numerator r)
    ( a numerator r )     ( a numerator r )
    (cf. dc, denominator)     (cf. dc, denominator)
      (Output is a list of Z or polynomials.)
  ]   ]
 ] putUsages  ] putUsages
 % test data.  % test data.
Line 3994  $ [ff ff] fromVectors :: $ 
Line 3997  $ [ff ff] fromVectors :: $ 
   [/pp /dd /ii /rr] pushVariables    [/pp /dd /ii /rr] pushVariables
   [    [
     /pp arg1 def      /pp arg1 def
       pp to_univNum /pp set
     {      {
       pp isArray {        pp isArray {
         pp denominator /dd set          pp denominator /dd set
         pp dd mul /rr set          pp dd mul /rr set
         rr reduce /rr set          rr cancel /rr set
         exit          exit
       } {  } ifelse        } {  } ifelse
   
Line 4012  $ [ff ff] fromVectors :: $ 
Line 4016  $ [ff ff] fromVectors :: $ 
   arg1    arg1
 } def  } def
   
 /reduce.Q {  /cancel.Q {
   /arg1 set    /arg1 set
   [/aa /rr /nn /dd /gg]  pushVariables    [/aa /rr /nn /dd /gg]  pushVariables
   [    [
Line 4039  $ [ff ff] fromVectors :: $ 
Line 4043  $ [ff ff] fromVectors :: $ 
   arg1    arg1
 } def  } def
   
 /reduce.one {  /cancel.one {
   /arg1 set    /arg1 set
   [/aa /rr /nn /dd /gg]  pushVariables    [/aa /rr /nn /dd /gg]  pushVariables
   [    [
Line 4049  $ [ff ff] fromVectors :: $ 
Line 4053  $ [ff ff] fromVectors :: $ 
         aa (numerator) dc /nn set          aa (numerator) dc /nn set
         aa (denominator) dc /dd set          aa (denominator) dc /dd set
         nn isUniversalNumber dd isUniversalNumber and {          nn isUniversalNumber dd isUniversalNumber and {
           /rr aa reduce.Q def            /rr aa cancel.Q def
           exit            exit
         } { (reduce: not implemented) error } ifelse          } { (cancel: not implemented) error } ifelse
       } { } ifelse        } { } ifelse
   
       /rr aa def        /rr aa def
Line 4063  $ [ff ff] fromVectors :: $ 
Line 4067  $ [ff ff] fromVectors :: $ 
   arg1    arg1
 } def  } def
   
 [(reduce)  [(cancel)
  [ (obj reduce r)   [ (obj cancel r)
    (Cancel numerators and denominators)     (Cancel numerators and denominators)
    (The implementation has not yet been completed. It works only for Q.)     (The implementation has not yet been completed. It works only for Q.)
 ]] putUsages  ]] putUsages
 /reduce {  /cancel {
   /arg1 set    /arg1 set
   [/aa /rr] pushVariables    [/aa /rr] pushVariables
   [    [
     /aa arg1 def      /aa arg1 def
     aa isArray {      aa isArray {
       aa {reduce} map /rr set        aa {cancel} map /rr set
     } {      } {
       aa reduce.one /rr set        aa cancel.one /rr set
     } ifelse      } ifelse
     /arg1 rr def      /arg1 rr def
   ] pop    ] pop
   popVariables    popVariables
   arg1    arg1
 } def  } def
   
   /nnormalize_vec {
     /arg1 set
     [/pp /rr /dd ] pushVariables
     [
       /pp arg1 def
       pp denominator /dd set
       dd (0).. lt { (nnormalize_vec: internal error) error } { } ifelse
       pp numerator dd mul cancel /pp set
       /@@@.nnormalize_vec_c dd def
       pp gcd /dd set
       dd (0).. lt { (nnormalize_vec: internal error) error } { } ifelse
       pp (1).. dd div mul cancel /rr set
       @@@.nnormalize_vec_c dd div cancel /@@@.nnormalize_vec_c set
       /arg1 rr def
     ] pop
     popVariables
     arg1
   } def
   [(nnormalize_vec)
   [(pp nnormalize_vec npp)
    (It normalizes a given vector of Q into a vector of Z with relatively prime)
    (entries by multiplying a postive number.)
   ]] putUsages
   
 /usages {  /usages {
   /arg1 set    /arg1 set
Legend:
Removed from v.1.29  
changed lines
  Added in v.1.30
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