1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
|
#
# jruby examples for jas.
# $Id$
#
require "examples/jas"
# example for rational and complex numbers
#
#
zn = ZZ(7);
puts "zn: " + str(zn);
puts "zn^2: " + str(zn*zn);
puts;
x = 10000000000000000000000000000000000000000000000000;
puts "x: " + str(x);
rn = QQ(2*x,4*x);
puts "rn: " + str(rn);
puts "rn^2: " + str(rn*rn);
puts;
rn = QQ(6/4);
puts "rn: " + str(rn);
puts "rn^2: " + str(rn*rn);
puts "1/rn: " + str(1/rn);
puts;
c = CC();
puts "c: " + str(c);
c = c.one();
puts "c: " + str(c);
c = CC(2,3);
puts "c: " + str(c);
puts "c^5: " + str(c**5 + c.one());
puts;
c = CC( 2,rn );
puts "c: " + str(c);
puts "1/c: " + str(1/c);
puts;
zm = ZM(19,11);
puts "zm: " + str(zm);
puts "zm^2: " + str(zm*zm);
puts "1/zm: " + str(1/zm);
#puts "zm.ring: " + str(zm.ring.toScript());
puts;
r = PolyRing.new(QQ(), "x,y", PolyRing.lex );
puts "Ring: " + str(r);
puts;
# sage like: with generators for the polynomial ring
one,x,y = r.gens();
zero = r.zero();
begin
f = RF(r);
rescue
f = None;
end
puts "f: " + str(f);
d = x**2 + 5 * x - 6;
puts "d: " + str(d);
f = RF(r,d);
puts "f: " + str(f);
n = d*d + y + 1;
f = RF(r,d,n);
puts "f: " + str(f);
puts;
# beware not to mix expressions
f = f**2 - f;
puts "f^2-f: " + str(f);
puts;
f = f/f;
puts "f/f: " + str(f);
f = RF(r,d,one);
puts "f: " + str(f);
f = RF(r,zero);
puts "f: " + str(f);
f = RF(r,d,y);
puts "f: " + str(f);
puts "one: " + str(f.one());
puts "zero: " + str(f.zero());
puts;
terminate();
#sys.exit();
|