=================================================================== RCS file: /home/cvs/OpenXM/src/kan96xx/Doc/ox.sm1,v retrieving revision 1.36 retrieving revision 1.42 diff -u -p -r1.36 -r1.42 --- OpenXM/src/kan96xx/Doc/ox.sm1 2004/03/01 07:19:44 1.36 +++ OpenXM/src/kan96xx/Doc/ox.sm1 2004/09/10 13:20:22 1.42 @@ -1,4 +1,4 @@ -%%%%%%%%%%% $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.35 2004/02/28 13:39:42 takayama Exp $ +%%%%%%%%%%% $OpenXM: OpenXM/src/kan96xx/Doc/ox.sm1,v 1.41 2004/08/28 05:23:55 takayama Exp $ /ox.sm1.myname (ox-new.sm1) def @@ -77,6 +77,7 @@ ox.version [(Version)] system_variable gt /SM_dupErrors 276 def /SM_pushCMOtag 277 def +/SM_executeFunctionWithOptionalArgument 282 def /SM_control_kill 1024 def /SM_control_reset_connection 1030 def @@ -90,6 +91,7 @@ ox.version [(Version)] system_variable gt (Example: oxsm1.ccc [1 2 3] oxpushcmo oxsm1.ccc oxpopcmo /ff set ff :: ) ( ) (client ss oxexecutestring(oxsubmit) <>, client ss oxexec <>) + (client ss oxexecWithOpt ) (Example: oxsm1.ccc (0 1 10 { pop $Hello$ message } for) oxexecutestring ) (Example: oxsm1.ccc (2).. oxpushcmo oxsm1.ccc (10).. oxpushcmo ) @@ -259,6 +261,23 @@ ox.verbose { oxhelp } { } ifelse } { } ifelse [(oxReq) arg2 SM_executeFunction arg1] extension pop } def +/oxexecWithOpt { + /arg1 set + /arg2 set + ox.takelog { ox.log [(oxSerial)] extension ox.mod arg1 put + ox.log [(oxSerial)] extension 1 add ox.mod + (executeFunctionWithOptionalArgument) put + } { } ifelse + [(oxReq) arg2 SM_executeFunctionWithOptionalArgument arg1] extension pop +} def +[(oxexecWithOpt) + [ + $Example: $ + $oxsm1.ccc (/foo { message message message } def) oxsubmit ;$ + $oxsm1.ccc (hello) oxpushcmo oxsm1.ccc 1 oxpushcmo oxsm1.ccc [[(opt) 0]] oxpushcmo ;$ + $oxsm1.ccc (foo) oxexecWithOpt $ + ] +] putUsages /oxsubmit2 { oxexec } def @@ -850,10 +869,11 @@ oxasir.verbose { (If you interrupted the computation by typing ctrl-C, type in ) ( oxasir.ccc oxreset ; ) (to interrupt the ox_asir server.) + (NOTE: all asir-args must belong to the same ring. cf.oxasir.changeRing. ) (Example: oxasir.ccc [(fctr) (x^10-1).] asir ) ( ) (This function requires plugins cmo, socket and ox_asir server. cf. oxasir) - (See, ftp://endeavor.fujitsu.co.jp/pub/isis/asir on asir) + (See, http://www.math.kobe-u.ac.jp/Asir on asir) ] ] putUsages @@ -902,16 +922,27 @@ oxasir.verbose { %%% Mathematical functions for asir %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /oxasir.changeRing { + /oxasir.changeRing.rr.prev 0 def + oxasir.changeRing2 +} def +/oxasir.changeRing2 { /arg1 set - [/in-oxasir.changeRing /f /rr] pushVariables + [/in-oxasir.changeRing2 /f /rr ] pushVariables [ /f arg1 def f isArray { - f {oxasir.changeRing} map + f {oxasir.changeRing2} map }{ f isPolynomial { f (0). eq { } - { f (ring) dc /rr set [(CurrentRingp) rr] system_variable } ifelse + { f (ring) dc /rr set [(CurrentRingp) rr] system_variable + oxasir.changeRing.rr.prev tag 1 eq { } + { + oxasir.changeRing.rr.prev rr eq { } + { (asir : arguments must belong to the same ring.) error } ifelse + } ifelse + /oxasir.changeRing.rr.prev rr def + } ifelse } { } ifelse } ifelse ] pop @@ -1022,7 +1053,7 @@ oxasir.verbose { f 0 get isPolynomial { /r f 0 get (ring) dc def - /vvv vvv { r ,, } map def + /vvv vvv { r __ } map def } { [vvv from_records ring_of_polynomials 0] define_ring @@ -1064,6 +1095,137 @@ oxasir.verbose { 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 /findIntegralRoots { @@ -1497,7 +1659,7 @@ oxasir.verbose { [wvec] weight_vector 0] define_ring - ff { . dehomogenize homogenize } map /ff set + ff { toString . dehomogenize homogenize } map /ff set vvx { . } map /vvx set %%ex [x,y] vvd { . } map /vvd set %%ex [Dx,Dy] vvx vvd join [(h).] join /avv set @@ -1613,3 +1775,7 @@ oxasir.verbose { } def /@@@polymake.k0.ccc [ ] def +/ox_server_mode { + /:: { } def % do nothing + +} def \ No newline at end of file