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java.lang.Objectorg.apfloat.internal.IntElementaryModMath
org.apfloat.internal.IntModMath
Modulo arithmetic functions for int
data.
Constructor Summary | |
IntModMath()
Default constructor. |
Method Summary | |
int[] |
createWTable(int w,
int n)
Create a table of powers of n:th root of unity. |
int |
getForwardNthRoot(int primitiveRoot,
long n)
Get forward n:th root of unity. |
int |
getInverseNthRoot(int primitiveRoot,
long n)
Get inverse n:th root of unity. |
int |
modDivide(int a,
int b)
Modular division. |
int |
modInverse(int a)
Modular inverse, that is 1 / a . |
int |
modPow(int a,
int n)
Modular power. |
int |
negate(int a)
Modular negation. |
Methods inherited from class org.apfloat.internal.IntElementaryModMath |
getModulus, modAdd, modMultiply, modSubtract, setModulus |
Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Constructor Detail |
public IntModMath()
Method Detail |
public final int[] createWTable(int w, int n)
w
- The n:th root of unity modulo the current modulus.n
- The table length (= transform length).
table[i]=wi mod m
, i = 0, ..., n-1.public int getForwardNthRoot(int primitiveRoot, long n)
w
.Assumes that the modulus is prime.
primitiveRoot
- Primitive root of the modulus.n
- The transform length.
public int getInverseNthRoot(int primitiveRoot, long n)
w-1
.Assumes that the modulus is prime.
primitiveRoot
- Primitive root of the modulus.n
- The transform length.
public final int modInverse(int a)
1 / a
. Assumes that the modulus is prime.
a
- The operand.
a-1 mod m
.public final int modDivide(int a, int b)
a
- The dividend.b
- The divisor.
a*b-1 mod m
.public final int negate(int a)
a
- The argument.
-a mod m
.public final int modPow(int a, int n)
a
- The base.n
- The exponent.
an mod m
.
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