| version 1.29, 2000/08/22 05:34:06 |
version 1.34, 2001/01/05 11:14:28 |
|
|
| /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal.k,v 1.28 2000/08/21 07:45:22 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal.k,v 1.33 2000/12/29 07:19:40 takayama Exp $ */ |
| #define DEBUG 1 |
#define DEBUG 1 |
| Sordinary = false; |
Sordinary = false; |
| /* If you run this program on openxm version 1.1.2 (FreeBSD), |
/* If you run this program on openxm version 1.1.2 (FreeBSD), |
|
|
| |
|
| */ |
*/ |
| |
|
| |
/* We cannot use load command in the if statement. */ |
| |
load("lib/minimal/cohom.k"); |
| |
Load_sm1(["k0-tower.sm1","lib/minimal/k0-tower.sm1"],"k0-tower.sm1.loaded"); |
| |
Load_sm1(["new.sm1","lib/minimal/new.sm1"],"new.sm1.loaded"); |
| |
sm1(" oxNoX "); |
| |
|
| load("cohom.k"); |
|
| def load_tower() { |
|
| if (Boundp("k0-tower.sm1.loaded")) { |
|
| }else{ |
|
| sm1(" [(parse) (k0-tower.sm1) pushfile ] extension "); |
|
| sm1(" [(parse) (new.sm1) pushfile ] extension "); |
|
| sm1(" /k0-tower.sm1.loaded 1 def "); |
|
| } |
|
| sm1(" oxNoX "); |
|
| } |
|
| load_tower(); |
|
| SonAutoReduce = true; |
SonAutoReduce = true; |
| def Factor(f) { |
def Factor(f) { |
| sm1(f, " fctr /FunctionValue set"); |
sm1(f, " fctr /FunctionValue set"); |
|
|
| HelpAdd(["Max", |
HelpAdd(["Max", |
| ["Max(v) returns the maximal element in v."]]); |
["Max(v) returns the maximal element in v."]]); |
| |
|
| |
def Kernel(f,v) { |
| |
local ans; |
| |
/* v : string or ring */ |
| |
if (Length(Arglist) < 2) { |
| |
sm1(" [f] syz /ans set "); |
| |
}else{ |
| |
sm1(" [f v] syz /ans set "); |
| |
} |
| |
return(ans); |
| |
} |
| |
def Syz(f) { |
| |
sm1(" [f] syz /FunctionValue set "); |
| |
} |
| |
HelpAdd(["Kernel", |
| |
["Kernel(f) returns the syzygy of f.", |
| |
"Return value [b, c]: b is a set of generators of the syzygies of f", |
| |
" : c=[gb, backward transformation, syzygy without", |
| |
" dehomogenization", |
| |
"Example: Weyl(\"x,y\",[[\"x\",-1,\"Dx\",1]]); ", |
| |
" s=Kernel([x*Dx+1,Dx^2+x^5]); s[0]:"]]); |
| |
/* cf. sm1_syz in cohom.k */ |
| |
def Gb(f) { |
| |
sm1(" [f] gb /FunctionValue set "); |
| |
} |
| |
HelpAdd(["Gb", |
| |
["Gb(f) returns the Groebner basis of f.", |
| |
"cf. Kernel, Weyl."]]); |
| |
|
| |
|
| /* End of standard functions that should be moved to standard libraries. */ |
/* End of standard functions that should be moved to standard libraries. */ |
| def test0() { |
def test0() { |
| local f; |
local f; |
|
|
| } |
} |
| |
|
| |
|
| |
|
| def Sweyl(v,w) { |
def Sweyl(v,w) { |
| /* extern WeightOfSweyl ; */ |
/* extern WeightOfSweyl ; */ |
| local ww,i,n; |
local ww,i,n; |
| Line 1454 HelpAdd(["IsSameIdeal_h", |
|
| Line 1476 HelpAdd(["IsSameIdeal_h", |
|
| "cf. ReParse" |
"cf. ReParse" |
| ]]); |
]]); |
| |
|
| def ReParse(a) { |
/* |
| local c; |
Output of S* functions may cause a trouble because it uses Schreyer orders. |
| if (IsArray(a)) { |
In this case, use ReParse(). |
| c = Map(a,"ReParse"); |
*/ |
| }else{ |
|
| sm1(a," toString . /c set"); |
|
| } |
|
| return(c); |
|
| } |
|
| HelpAdd(["ReParse", |
|
| ["Reparse(obj): obj", |
|
| "It parses the given object in the current ring.", |
|
| "Outputs from SlaScala, Sschreyer may cause a trouble in other functions,", |
|
| "because it uses the Schreyer order.", |
|
| "In this case, ReParse the outputs from these functions.", |
|
| "cf. IsExaxt_h" |
|
| ]]); |
|
| |
|
| def ScheckIfSchreyer(s) { |
def ScheckIfSchreyer(s) { |
| local ss; |
local ss; |