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r36/XMPL/WU.TST
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% wu.tst % Russell Bradford, 8 June 90. % Some tests for the Wu algorithm % The order directives are not necessary for general use: they just % help tie things down for testing purposes. % run after loading Wu code: in "wu.red"$ % test 1 order x,y,a,b; wu({x^2+y^2-a,x*y-b}, {x,y}); % test 2 order x,y,a,b; wu({x^2+y^2-a,x*y-b},{x,y,a,b}); % test 3 order x,y,z,r; wu({x^2+y^2+z^2-r^2, x*y+z^2-1, x*y*z-x^2-y^2-z+1}, {x,y,z}); % test 4 order x,y,z,r; wu({x^2+y^2+z^2-r^2, x*y+z^2-1, x*y*z-x^2-y^2-z+1}, {x,y,z,r}); % test 5 order x,y,z; wu({(x-1)*(y-1)*(z-1), (x-2)*(y-2)*(z-2), (x-3)*(y-3)*(z-3)}, {x,y,z}); % test 6 order x,y,z; wu({(x-1)*(y-1)*(z-1), (x-2)*(y-2)*(z-2), (x-3)*(y-3)*(z-3)}); % test 7 order x1,x2,x3,x4; p1 := x1+x2+x3+x4; p2 := x1*x2+x2*x3+x3*x4+x4*x1; p3 := x1*x2*x3+x2*x3*x4+x3*x4*x1+x4*x1*x2; p4 := x1*x2*x3*x4 - 1; wu({p1,p2,p3,p4}, {x1,x2,x3,x4}); % test 8 order x,y,z; wu({z*z,y*z-1,x*z-1}, {x,y,z}); end;