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/*
* Copyright (c) 1995 David I. Bell
* Permission is granted to use, distribute, or modify this source,
* provided that this copyright notice remains intact.
*
* Routines to handle numbers modulo a specified number.
* a (mod N)
*/
obj mod {a}; /* definition of the object */
global mod_value = 100; /* modulus value (value of N) */
define mod(a)
{
local obj mod x;
if (!isreal(a) || !isint(a))
quit "Bad argument for mod function";
x.a = a % mod_value;
return x;
}
define mod_print(a)
{
if (digits(mod_value) <= 20)
print a.a, "(mod", mod_value : ")" :;
else
print a.a, "(mod N)" :;
}
define mod_one()
{
return mod(1);
}
define mod_cmp(a, b)
{
if (isnum(a))
return (a % mod_value) != b.a;
if (isnum(b))
return (b % mod_value) != a.a;
return a.a != b.a;
}
define mod_rel(a, b)
{
if (isnum(a))
a = mod(a);
if (isnum(b))
b = mod(b);
if (a.a < b.a)
return -1;
return a.a != b.a;
}
define mod_add(a, b)
{
local obj mod x;
if (isnum(b)) {
if (!isint(b))
quit "Adding non-integer";
x.a = (a.a + b) % mod_value;
return x;
}
if (isnum(a)) {
if (!isint(a))
quit "Adding non-integer";
x.a = (a + b.a) % mod_value;
return x;
}
x.a = (a.a + b.a) % mod_value;
return x;
}
define mod_sub(a, b)
{
return a + (-b);
}
define mod_neg(a)
{
local obj mod x;
x.a = mod_value - a.a;
return x;
}
define mod_mul(a, b)
{
local obj mod x;
if (isnum(b)) {
if (!isint(b))
quit "Multiplying by non-integer";
x.a = (a.a * b) % mod_value;
return x;
}
if (isnum(a)) {
if (!isint(a))
quit "Multiplying by non-integer";
x.a = (a * b.a) % mod_value;
return x;
}
x.a = (a.a * b.a) % mod_value;
return x;
}
define mod_square(a)
{
local obj mod x;
x.a = a.a^2 % mod_value;
return x;
}
define mod_inc(a)
{
local x;
x = a;
if (++x.a == mod_value)
x.a = 0;
return x;
}
define mod_dec(a)
{
local x;
x = a;
if (--x.a < 0)
x.a = mod_value - 1;
return x;
}
define mod_inv(a)
{
local obj mod x;
x.a = minv(a.a, mod_value);
return x;
}
define mod_div(a, b)
{
local c, x, y;
obj mod x, y;
if (isnum(a))
a = mod(a);
if (isnum(b))
b = mod(b);
c = gcd(a.a, b.a);
x.a = a.a / c;
y.a = b.a / c;
return x * inverse(y);
}
define mod_pow(a, b)
{
local x, y, z;
obj mod x;
y = a;
z = b;
if (b < 0) {
y = inverse(a);
z = -b;
}
x.a = pmod(y.a, z, mod_value);
return x;
}
if (config("lib_debug") >= 0) {
print "obj mod {a} defined";
print "mod(a) defined";
print "mod_print(a) defined";
print "mod_one(a) defined";
print "mod_cmp(a, b) defined";
print "mod_rel(a, b) defined";
print "mod_add(a, b) defined";
print "mod_sub(a, b) defined";
print "mod_mod(a, b) defined";
print "mod_square(a) defined";
print "mod_inc(a) defined";
print "mod_dec(a) defined";
print "mod_inv(a) defined";
print "mod_div(a, b) defined";
print "mod_pow(a, b) defined";
print "mod_value defined";
print "set mod_value as needed";
}
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