Class LinearCombinations.Dot2s
- java.lang.Object
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- org.apache.commons.numbers.examples.jmh.core.LinearCombinations.BaseLinearCombination
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- org.apache.commons.numbers.examples.jmh.core.LinearCombinations.Dot2s
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- All Implemented Interfaces:
LinearCombination.FourD
,LinearCombination.ND
,LinearCombination.ThreeD
,LinearCombination.TwoD
- Enclosing class:
- LinearCombinations
public static final class LinearCombinations.Dot2s extends LinearCombinations.BaseLinearCombination implements LinearCombination.TwoD, LinearCombination.ThreeD, LinearCombination.FourD
Computes linear combinations accurately using the Dot2s algorithm of Ogita et al for 2-fold precision of the sum.It is based on the 2005 paper Accurate Sum and Dot Product by Takeshi Ogita, Siegfried M. Rump, and Shin'ichi Oishi published in SIAM J. Sci. Comput.
This is faster than using
LinearCombinations.DotK
with ak
of 2. The results will not be identical due to a different summation order of the round-off parts.
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Field Summary
Fields Modifier and Type Field Description static LinearCombinations.Dot2s
INSTANCE
An instance computing 2-fold precision.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description protected double
computeValue(double[] a, double[] b)
Compute the sum of the products of two sequences of factors with high accuracy.double
value(double a1, double b1, double a2, double b2)
Compute the sum of the products of two sequences of factors.double
value(double a1, double b1, double a2, double b2, double a3, double b3)
Compute the sum of the products of two sequences of factors.double
value(double a1, double b1, double a2, double b2, double a3, double b3, double a4, double b4)
Compute the sum of the products of two sequences of factors.-
Methods inherited from class org.apache.commons.numbers.examples.jmh.core.LinearCombinations.BaseLinearCombination
value
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Field Detail
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INSTANCE
public static final LinearCombinations.Dot2s INSTANCE
An instance computing 2-fold precision.
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Method Detail
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computeValue
protected double computeValue(double[] a, double[] b)
Compute the sum of the products of two sequences of factors with high accuracy. The input arrays will have a length of at least 2; the lengths will be the same.- Specified by:
computeValue
in classLinearCombinations.BaseLinearCombination
- Parameters:
a
- Factors.b
- Factors.- Returns:
- \( \sum_i a_i b_i \).
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value
public double value(double a1, double b1, double a2, double b2)
Compute the sum of the products of two sequences of factors.- Specified by:
value
in interfaceLinearCombination.TwoD
- Parameters:
a1
- First factor of the first term.b1
- Second factor of the first term.a2
- First factor of the second term.b2
- Second factor of the second term.- Returns:
- \( a_1 b_1 + a_2 b_2 \)
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value
public double value(double a1, double b1, double a2, double b2, double a3, double b3)
Compute the sum of the products of two sequences of factors.- Specified by:
value
in interfaceLinearCombination.ThreeD
- Parameters:
a1
- First factor of the first term.b1
- Second factor of the first term.a2
- First factor of the second term.b2
- Second factor of the second term.a3
- First factor of the third term.b3
- Second factor of the third term.- Returns:
- \( a_1 b_1 + a_2 b_2 + a_3 b_3 \)
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value
public double value(double a1, double b1, double a2, double b2, double a3, double b3, double a4, double b4)
Compute the sum of the products of two sequences of factors.- Specified by:
value
in interfaceLinearCombination.FourD
- Parameters:
a1
- First factor of the first term.b1
- Second factor of the first term.a2
- First factor of the second term.b2
- Second factor of the second term.a3
- First factor of the third term.b3
- Second factor of the third term.a4
- First factor of the fourth term.b4
- Second factor of the fourth term.- Returns:
- \( a_1 b_1 + a_2 b_2 + a_3 b_3 + a_4 b_4 \)
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