Changeset 0777ea in git

Timestamp:

Jun 17, 2011, 12:08:12 PM (12 years ago)

Author:

Martin Lee <martinlee84@…>

Branches:

(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'a800fe4b3e9d37a38c5a10cc0ae9dfa0c15a4ee6')

Children:

96992c61ea7928aadcfccb69aecf86ad5f3bd13c

Parents:

d40294dfa77c784d669bfb161359a9b40c51af81

Message:

added detection of trivially irreducible polynomials
enhanced short test by tests from libfac and some benchmark from L. Bernardin


git-svn-id: file:///usr/local/Singular/svn/trunk@14285 2c84dea3-7e68-4137-9b89-c4e89433aadc

Files:

• Tst/Short/factorizep_s.res.gz.uu (modified) (1 diff)
• Tst/Short/factorizep_s.stat (modified) (1 diff)
• Tst/Short/factorizep_s.tst (modified) (1 diff)
• factory/facFqBivar.cc (modified) (1 diff)

Tst/Short/factorizep_s.res.gz.uu

@@ -1 +1 @@
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 `
 end

Tst/Short/factorizep_s.stat

@@ -1 @@
-1 >> tst_memory_0 :: 1302090309:3120- 13777 :3-1-2:ix86-Linux:mamawutz:302260
-1 >> tst_memory_1 :: 1302090309:3120- 13777 :3-1-2:ix86-Linux:mamawutz:795336
-1 >> tst_memory_2 :: 1302090309:3120- 13777 :3-1-2:ix86-Linux:mamawutz:828120
-1 >> tst_timer_1 :: 1302090309:3120- 13777 :3-1-2:ix86-Linux:mamawutz:8
+1 >> tst_memory_0 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:322888
+1 >> tst_memory_1 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:929792
+1 >> tst_memory_2 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:929792
+1 >> tst_timer :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:697
+2 >> tst_memory_0 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:530256
+2 >> tst_memory_1 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:1601536
+2 >> tst_memory_2 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:2125824
+2 >> tst_timer_1 :: 1308304499:3132- 13777 :3-1-3:ix86-Linux:mamawutz:1054

Tst/Short/factorizep_s.tst

@@ -2 +2 @@
 tst_init();
 
+proc testfactors (list l, poly f)
+{
+  poly g= 1;
+  for (int i= 1; i <= size (l[1]); i++)
+  {
+    g= g*(l[1][i]^l[2][i]);
+  }
+  g == f;
+  l;
+}
+
+
+
+// polys from L. Bernardin's thesis
+ring r= 17,(x,y),dp;
+list l;
+poly f;
+for (int n=2; n <= 700; n++)
+{
+  f= x^n*y^n+x^((n div 2)+1)*y^(n div 2)*(y+1)+x^2*y+(n+1)*x*y+(n^2+3)*x-2;
+  f;
+  l= factorize (f); testfactors (l, f);
+}
+tst_status();
+
+kill r;
+
 ring r= 31991,(z,w),dp;
+
+list l;
+
 poly f= 10582*w^3*z^4+21325*z^4+29620*w^4*z^3+23697*w*z^3+12439*w^6*z^2+3572*w^3*z^2+5463*z^2+16590*w*z+24885*w^3+31963;
 
-factorize (f);
+l= factorize (f); testfactors (l, f);
+
+kill r;
+
+ring r= 3, (s,t),dp;
+list l;
+
+poly f= s^85+(t)*s^84+(t^2)*s^83+(-1*t^18)*s^67+(-1*t^19)*s^66+(t^20)*s^65
++(t^21)*s^64+(t^22)*s^63+(-1*t^24)*s^61+(-1*t^25)*s^60+(t^29)*s^56
++(t^38)*s^47+(-1*t^39)*s^46+(-1*t^40)*s^45+(-1*t^42)*s^43+(-1*t^43)*s^42
++(-1*t^45)*s^40+(-1*t^46)*s^39+(t^47)*s^38+(t^56)*s^29+(-1*t^60)*s^25
++(-1*t^61)*s^24+(t^63)*s^22+(t^64)*s^21+(t^65)*s^20+(-1*t^66)*s^19
++(-1*t^67)*s^18+(t^83)*s^2+(t^84)*s+(t^85);
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+
+ring r= 32003, (f,g,v,y,u,x), dp;
+list l;
+poly h= f^3*u^3-4*f^2*g*v*y*u^2 + (8*f^3*v^2*y+6*f^2*g*v^2*x+4*f*g^2*v^2*y^2)*u
+-8*f^3*v^3*x-4*f*g^2*v^3*x*y + g^3*v^3*x^2;
+
+l= factorize (h); testfactors (l, h);
+
+kill r;
+ring r= 32003, (a,b,c,f), dp;
+list l;
+poly h= a^3*b^3*f^4+186*a^2*b^4*c*f^3+11532*a*b^5*c^2*f^2+14307*b^6*c^3*f;
+
+l= factorize (h); testfactors (l, h);
+
+kill r;
+ring r= 32003,(x,y,z),dp;
+list l;
+poly f= x^25+y^23+z^18+x^4*y^10+x^8*y^5+2*x^5*y^8+x^5*y^5*z^3+x^6*y^6;
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+ring r= 32003, (x,y,z,w),dp;
+list l;
+poly f=
+-573002*x^10+240517*x^9*y+396389*x^8*y^2+535082*x^7*y^3+288429*x^6*y^4
++763919*x^5*y^5+3766*x^4*y^6-649376*x^3*y^7-59851*x^2*y^8-542799*x*y^9+20979*y^10
+-461020*x^9*z-650459*x^8*y*z-944957*x^7*y^2*z+1677170*x^6*y^3*z+1666154*x^5*y^4*z
+-1232710*x^4*y^5*z+862729*x^3*y^6*z-618762*x^2*y^7*z-705768*x*y^8*z-187036*y^9*z-741032*x^8*z^2
++1446654*x^7*y*z^2-643320*x^6*y^2*z^2-1635676*x^5*y^3*z^2-189420*x^4*y^4*z^2+682529*x^3*y^5*z^2
+-450284*x^2*y^6*z^2-327970*x*y^7*z^2+66106*y^8*z^2+386688*x^7*z^3+198264*x^6*y*z^3-757313*x^5*y^2*z^3+2008508*x^4*y^3*z^3-675589*x^3*y^4*z^3-2338517*x^2*y^5*z^3+413997*x*y^6*z^3+150157*y^7*z^3
++115299*x^6*z^4+1838075*x^5*y*z^4-821489*x^4*y^2*z^4-772496*x^3*y^3*z^4+94982*x^2*y^4*z^4
++552427*x*y^5*z^4+894534*y^6*z^4-173749*x^5*z^5-1322895*x^4*y*z^5+545850*x^3*y^2*z^5
++1506535*x^2*y^3*z^5+31641*x*y^4*z^5+858761*y^5*z^5+188464*x^4*z^6+676365*x^3*y*z^6
+-1175321*x^2*y^2*z^6-94611*x*y^3*z^6+365391*y^4*z^6-300517*x^3*z^7-74262*x^2*y*z^7
++756469*x*y^2*z^7+702099*y^3*z^7+651058*x^2*z^8+261997*x*y*z^8+70610*y^2*z^8-493574*x*z^9
++129784*y*z^9+265065*z^10-532141*x^9*w-285474*x^8*y*w-1300132*x^7*y^2*w+908974*x^6*y^3*w
+-1966687*x^5*y^4*w-127968*x^4*y^5*w+58220*x^3*y^6*w+41679*x^2*y^7*w+479035*x*y^8*w+466832*y^9*w
++1566035*x^8*z*w+1817709*x^7*y*z*w-688806*x^6*y^2*z*w-748313*x^5*y^3*z*w-1930577*x^4*y^4*z*w
+-957911*x^3*y^5*z*w+81915*x^2*y^6*z*w+133232*x*y^7*z*w+980198*y^8*z*w-110745*x^7*z^2*w
+-1370738*x^6*y*z^2*w-1182195*x^5*y^2*z^2*w+3215028*x^4*y^3*z^2*w-2006230*x^3*y^4*z^2*w
++2364130*x^2*y^5*z^2*w+1457270*x*y^6*z^2*w+1484168*y^7*z^2*w+1648545*x^6*z^3*w+772215*x^5*y*z^3*w
++554722*x^4*y^2*z^3*w+667926*x^3*y^3*z^3*w+375356*x^2*y^4*z^3*w+3601160*x*y^5*z^3*w
++625131*y^6*z^3*w-2510503*x^5*z^4*w-2729919*x^4*y*z^4*w+1243946*x^3*y^2*z^4*w
++2503349*x^2*y^3*z^4*w+1909123*x*y^4*z^4*w+588366*y^5*z^4*w+94641*x^4*z^5*w+1274333*x^3*y*z^5*w
++1615834*x^2*y^2*z^5*w-1286036*x*y^3*z^5*w-491438*y^4*z^5*w-864129*x^3*z^6*w+96287*x^2*y*z^6*w
+-1641596*x*y^2*z^6*w-479951*y^3*z^6*w+865513*x^2*z^7*w+37697*x*y*z^7*w-425879*y^2*z^7*w
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++33346*x^2*w^8-1189055*x*y*w^8+246983*y^2*w^8-220965*x*z*w^8-273745*y*z*w^8-493392*z^2*w^8
++411602*x*w^9+853400*y*w^9+1110886*z*w^9-580548*w^10;
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+ring r= 31991,(x,y,z,w),dp;
+list l;
+poly f= (-15*y^2*z^16+29*w^4*x^12*y^12*z^3+21*x^3*z^2+3*w^15*y^20)*(-1*z^31-w^12*z^20+y^18-y^14+x^2*y^2+x^21+w^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (w^4*z^3-x*y^2*z^2-w^4*x^5*y^6-w^2*x^3*y)*(-1*x^5-z^3+y*z+x^2*y^3)*(w^4*z^6+y^2*z^3-w^2*x^2*y^2*z^2+x^5*z-x^4*y^2-w^3*x^3*y);
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+ring r= 2,(x,y),dp;
+list l;
+poly f= x*(x+y)*(x^2+x+y^2)*(x^2+x+y+1)*(x^2+x+y^2+1)*(x^3+x+y^3)*(x^3+x+y+1)*(x^3+x+y^3+1)*(x^3+x+y^3+y+1)*(x^3+x+y^3+y^2+1);
+
+l= factorize (f); testfactors (l, f);
+
+f= x*(x+y)*(x^2+x+y^2)*(x^2+x+y+1)*(x^2+x+y^2+1);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x+y^2)*(x^2+y)*(x+y^4)*(x^4+y);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x+y^2)*(x^2+y);
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+
+ring r= 3,(x,y),dp;
+list l;
+poly f= (x+y^2)*(x^2+y)*(x+y^4)*(x^4+y);
+
+l= factorize (f); testfactors (l, f);
+
+f= x^3 - y^3;
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+
+ring r= 5,(x,y,z),dp;
+
+list l;
+
+poly f= (x*z+y+30)*(y*z+x+20)*(z+x*y+10);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x+y^2)*(x^2+y)*(x+y^4)*(x^4+y);
+
+l= factorize (f); testfactors (l, f);
+
+f= x^10 - y^4;
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+ring r= 101, (a,b,c,d), dp;
+list l;
+poly f= (a-b)*(a^4-7*b* c-4)*(a^5-b+c-11*d^3+1);
+
+l= factorize (f); testfactors (l, f);
+
+kill r;
+ring r= 31991, (x,y,z,w,u,v,s,t), dp;
+list l;
+poly f= x^6*y^3*z^2*(3*z^3+2*w*z-8*x*y^2+14*w^2*y^2-y^2+18*x^3*y)*(w^2*z^3-12*w^2*x*y*z^3+3*x*y^2+29*x-w^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (22*y^5-18*x^4*y^5-26*x^3*y^4-38*x^2*y^4+29*x^2*y^3-41*x^4*y^2+37*x^4)*(33*x^5*y^6+11*y^2+35*x^3*y-22*x^4);
+
+l= factorize (f); testfactors (l, f);
+
+f= (3*z^3+2*w*z-9*y^3-y^2+45*x^3)*(w^2*z^3+47*x*y-w^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (z+y+x-3)*(z+y+x-3)*(z+y+x-3);
+
+l= factorize (f); testfactors (l, f);
+
+f= (z+y+x-3)*(z+y+x-3)*(z+y+x-3)*(z+y+x-2)*(z+y+x-2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (z^2+x^3*y^4+u^2)*((y^2+x)*z^2 + 3*u^2*x^3*y^4*z+19*y^2)*(u^2*y^4*z^2+x^2*z+5);
+
+l= factorize (f); testfactors (l, f);
+
+f= (z^2-x^3*y+3)*(z^2+x^3*y^4)*(y^4*z^2+x^2*z+5);
+
+l= factorize (f); testfactors (l, f);
+
+f= (y*z^3+x*y*z+y^2+x^3)*(x*(z^4+1)+z+x^3*y^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x^3*(z+y)+z-11)*(x^2*(z^2+y^2)+y+90);
+
+l= factorize (f); testfactors (l, f);
+
+f= x^10 - y^4;
+
+l= factorize (f); testfactors (l, f);
+
+f= (x*z^2+2*x*z*w+x*w^2+z^2+w+2*z*w)*(x*z^2+2*x*z*w+x*w^2+z);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x^2-x*z+z*y+2)*(x^2+3*x-y^2-15);
+
+l= factorize (f); testfactors (l, f);
+
+f= (z^3+x*y*z+y^2+x^3)*(x*(z^4+1)+z+x^3*y^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x^2*y+x*y+1)*(x^2*y+2*x*y+3)*(2*x^2*y+3*x*y+5)*(3*x^2*y+4*x*y+7);
+
+l= factorize (f); testfactors (l, f);
+
+f= w^2*x^7*y^6*12*z^5+31962*z^2*y^5*x^7+87*z^5*y^3*x^7+31967*z^2*y^7*x^8+31759*z^2*y^5*x^8+31988*z^2*y^7*x^7+54*z^2*y^6*x^10+522*z^2*y^4*x^10+9*z^5*y^5*x^7+z^2*y^5*x^6*w^2+3*z^8*y^3*x^6*w^2+2*z^6*y^3*x^6*w^3+31989*z^3*y^3*x^6*w^3+31977*z^2*y^5*x^6*w^4+31988*z^5*y^3*x^6*w^2+414*z^2*y^5*x^7*w^2+42*z^2*y^7*x^7*w^2+14*z^5*y^5*x^6*w^4+31990*z^5*y^5*x^6*w^2+31973*z^2*y^4*x^9*w^2+58*z^3*y^3*x^7*w+31955*z^8*y^4*x^7*w^2+6*z^3*y^5*x^7*w+31967*z^6*y^4*x^7*w^3+96*z^5*y^6*x^8*w^2+31983*z^5*y^5*x^7*w^2+31823*z^5*y^6*x^7*w^4+31775*z^5*y^5*x^10*w^2+18*z^5*y^4*x^9*w^2;
+
+l= factorize (f); testfactors (l, f);
+
+f= (z+x*y+10)*(x*z+y+30)*(y*z+x+20);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x^3*y+x^3*z+z-11)*(x^2*z^2+x^2*y^2+y+90);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x-w)*(y-w)*(x-y)*(z-w)*(x-z)*(y-z);
+
+l= factorize (f); testfactors (l, f);
+
+f= (10*y+x^3+9)*(6*x*y^2+x+y+x^3+15);
+
+l= factorize (f); testfactors (l, f);
+
+f= (3*z^3+2*w*z-10*y^2+45*x^3)*(w^2*z^3+47*x*y-w^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x^2-10748*y*x+y^2)*(y^2+x^2)*(x^2+10748*y*x+y^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= (y*z-x*z+x^2+2)*(z^3-y^2+x^2+3*x-15);
+
+l= factorize (f); testfactors (l, f);
+
+f= (x+y+z)*(z-y+x)*(x-z-y);
+
+l= factorize (f); testfactors (l, f);
+
+f= (y*z+x*y^2+9)*(y*z+x*z+x^2*y);
+
+l= factorize (f); testfactors (l, f);
+
+f= (3*z^2+2*y^2+x^2)*(4*z^2-3*y^2+2*x^2);
+
+l= factorize (f); testfactors (l, f);
+
+f= x^4 + y^3 + z^5;
+
+l= factorize (f); testfactors (l, f);
+
+f= -9944*(x^2-5265*x+14343)*(x^2+5943*x-3555)*(x-8995)*(x-15035);
+
+l= factorize (f); testfactors (l, f);
+
+f= x^8 + x +1 ;
+
+l= factorize (f); testfactors (l, f);
+
+f= x^14-1;
+
+l= factorize (f); testfactors (l, f);
 
 tst_status(1);$

factory/facFqBivar.cc

@@ -5102 +5102 @@
   }
 
+  //check trivial case
+  if (degree (A) == 1 || degree (A, 1) == 1)
+  {
+    factors.append (A);
+
+    appendSwapDecompress (factors, contentAxFactors, contentAyFactors,
+                          false, false, N);
+
+    normalize (factors);
+    return factors;
+  }
+
   // check derivatives
   bool derivXZero= false;