OpenXM/src/kan96xx/Doc/ox.sm1 - diff

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Diff for /OpenXM/src/kan96xx/Doc/ox.sm1 between version 1.39 and 1.41

-version 1.39, 2004/03/08 08:24:42
+version 1.41, 2004/08/28 05:23:55
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- %%%%%%%%%%%  $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.38 2004/03/04 05:18:26 takayama Exp $
+ %%%%%%%%%%%  $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.40 2004/08/22 02:00:24 takayama Exp $
  /ox.sm1.myname (ox-new.sm1) def
 Line 1094  oxasir.verbose {
 Line 1094  oxasir.verbose {
 Line 1094  oxasir.verbose {
    popVariables
    arg1
  } def
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ /polygcd {
+   /arg1 set
+   [/pp /f /g /comm /vv] pushVariables
+   [(CurrentRingp)] pushEnv
+   [
+     /pp arg1 def
+     oxasir.ccc [ ] eq {
+        (Starting ox_asir server.) message
+         ox_asirConnectMethod
+     } {  } ifelse
+     pp isArray {
+       /f pp 0 get def
+       /g pp 1 get def
+       pp length 3 eq {
+         /vv pp 2 get def
+         vv isArray { /vv vv from_records  def } {  } ifelse
+         [vv ring_of_polynomials 0] define_ring
+         f . /f set
+         g . /g set
+       } { } ifelse
+     }{ (usage: [f g] polygcd) error } ifelse
+     oxasir.ccc [(gcd) f g] asir /arg1 set
+   ] pop
+   popEnv
+   popVariables
+   arg1
+ } def
+ [(polygcd)
+  [( [f g] polygcd r )
+   ( [f g v] polygcd r)
+   (Example: [(x^2-1) (x-1) [(x)]] polygcd )
+  ]
+ ] putUsages
+ /polylcm {
+   /arg1 set
+   [/pp /f /g /comm /vv] pushVariables
+   [(CurrentRingp)] pushEnv
+   [
+     /pp arg1 def
+     oxasir.ccc [ ] eq {
+        (Starting ox_asir server.) message
+         ox_asirConnectMethod
+     } {  } ifelse
+     pp isArray {
+       /f pp 0 get def
+       /g pp 1 get def
+       pp length 3 eq {
+         /vv pp 2 get def
+         vv isArray { /vv vv from_records  def } {  } ifelse
+         [vv ring_of_polynomials 0] define_ring
+         f . /f set
+         g . /g set
+       } { } ifelse
+     }{ (usage: [f g] polylcm) error } ifelse
+     oxasir.ccc [(lcm) f g] asir /arg1 set
+   ] pop
+   popEnv
+   popVariables
+   arg1
+ } def
+ [(polylcm)
+  [( [f g] polylcm r )
+   ( [f g v] polylcm r)
+   (Example: [(x^2-1) (x-1) [(x)]] polylcm )
+  ]
+ ] putUsages
+ /asir_red {
+   /arg1 set
+   [/pp /f /g /rr /vv] pushVariables
+   [(CurrentRingp)] pushEnv
+   [
+     /pp arg1 def
+     oxasir.ccc [ ] eq {
+        (Starting ox_asir server.) message
+         ox_asirConnectMethod
+     } {  } ifelse
+     {
+      pp isRational {
+       /f pp numerator def
+       /g pp denominator def
+       [[f g]] reduceByAsir /rr set
+      }{ } ifelse
+      exit
+      pp isArray {
+        /vv pp 2 get def
+        /f pp 0 get 0 get def
+        /g pp 0 get 1 get def
+        [[f toString g toString] vv] reduceByAsir /rr set
+      } {  } ifelse
+      exit
+      (asir_red: not implemented) error exit
+     } loop
+     rr 1 get isPolynomial {
+       rr 0 get rr 1 get div /rr set
+     }{
+       rr 1 get (1).. eq {
+          rr 0 get /rr set
+       }{
+          rr 0 get rr 1 get div /rr set
+       } ifelse
+     } ifelse
+     /arg1 rr def
+   ] pop
+   popEnv
+   popVariables
+   arg1
+ } def
+ [(asir_red)
+  [(Calling the function red of asir. It simplifies a rational function.)
+   (cf. cancel)
+   (Example:  (x^2). (x). div asir_red )
+ ]] putUsages
+ /asir_fctr { fctr } def
+ [(asir_fctr)
+  [(Calling the factorizer of asir.)
+ ]] putUsages
+ /asir_primadec { primadec } def
+ [(asir_primadec)
+  [(Calling the primadec of asir.)
+ ]] putUsages
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  [(chattr) 0 /findIntegralRoots] extension pop

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