org.apfloat.internal
Class Int3NTTConvolutionStrategy

java.lang.Object
  extended byorg.apfloat.internal.IntElementaryModMath
      extended byorg.apfloat.internal.IntModMath
          extended byorg.apfloat.internal.Int3NTTConvolutionStrategy
All Implemented Interfaces:
ConvolutionStrategy, IntModConstants

public class Int3NTTConvolutionStrategy
extends IntModMath
implements ConvolutionStrategy, IntModConstants

Convolution methods in the transform domain for the int type. Multiplication can be done in linear time in the transform domain, where the multiplication is simply an element-by-element multiplication.

This implementation uses three Number Theoretic Transforms to do the convolution and the Chinese Remainder Theorem to get the final result.

Version:
1.0
Author:
Mikko Tommila

Field Summary
 
Fields inherited from interface org.apfloat.internal.IntModConstants
MAX_POWER_OF_TWO_BASE, MAX_POWER_OF_TWO_BITS, MAX_TRANSFORM_LENGTH, MODULUS, PRIMITIVE_ROOT
 
Constructor Summary
Int3NTTConvolutionStrategy(int radix, NTTStrategy transform)
          Creates a new convoluter that uses the specified transform for transforming the data.
 
Method Summary
 DataStorage convolute(DataStorage x, DataStorage y, long resultSize)
          Convolutes the two sets of data.
 
Methods inherited from class org.apfloat.internal.IntModMath
createWTable, getForwardNthRoot, getInverseNthRoot, modDivide, modInverse, modPow, negate
 
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

Int3NTTConvolutionStrategy

public Int3NTTConvolutionStrategy(int radix,
                                  NTTStrategy transform)
Creates a new convoluter that uses the specified transform for transforming the data.

Parameters:
radix - The radix that will be used.
transform - The transform that will be used.
Method Detail

convolute

public DataStorage convolute(DataStorage x,
                             DataStorage y,
                             long resultSize)
                      throws ApfloatRuntimeException
Description copied from interface: ConvolutionStrategy
Convolutes the two sets of data.

Specified by:
convolute in interface ConvolutionStrategy
Parameters:
x - First data set.
y - Second data set.
resultSize - Number of elements needed in the result data.
Returns:
The convolved data.
Throws:
ApfloatRuntimeException