/* * * Copyright (c) 2007, Oracle and/or its affiliates. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * - Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * - Neither the name of Oracle nor the names of its * contributors may be used to endorse or promote products derived * from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS * IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
import java.util.Random;
/** * An object that implements a cheesy pseudorandom permutation of the integers * from zero to some user-specified value. (The permutation is a linear * function.) * * @author Josh Bloch
*/ class Permuter { /** * The size of the permutation.
*/ privateint modulus;
/** * Nonnegative integer less than n that is relatively prime to m.
*/ privateint multiplier;
/** * Pseudorandom nonnegative integer less than n.
*/ privateint addend = 22;
public Permuter(int n) { if (n<0) { thrownew IllegalArgumentException();
}
modulus = n; if (n==1) { return;
}
// Initialize the multiplier and offset
multiplier = (int) Math.sqrt(n); while (gcd(multiplier, n) != 1) { if (++multiplier == n) {
multiplier = 1;
}
}
}
/** * Returns the integer to which this permuter maps the specified integer. * The specified integer must be between 0 and n-1, and the returned * integer will be as well.
*/ publicint map(int i) { return (multiplier * i + addend) % modulus;
}
/** * Calculate GCD of a and b, which are assumed to be non-negative.
*/ privatestaticint gcd(int a, int b) { while(b != 0) { int tmp = a % b;
a = b;
b = tmp;
} return a;
}
/** * Simple test. Takes modulus on command line and prints out permutation.
*/ publicstaticvoid main(String[] args) { int modulus = Integer.parseInt(args[0]);
Permuter p = new Permuter(modulus); for (int i=0; i<modulus; i++) {
System.out.print(p.map(i)+" ");
}
System.out.println();
}
}
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