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/*
 * Copyright (C) 2015 - present by OpenGamma Inc. and the OpenGamma group of companies
 *
 * Please see distribution for license.
 */
package com.opengamma.strata.market.surface;

import static com.opengamma.strata.collect.Guavate.toImmutableList;

import java.util.List;
import java.util.OptionalInt;
import java.util.stream.IntStream;

import com.opengamma.strata.basics.currency.Currency;
import com.opengamma.strata.basics.value.ValueDerivatives;
import com.opengamma.strata.collect.array.DoubleArray;
import com.opengamma.strata.collect.tuple.DoublesPair;
import com.opengamma.strata.market.param.CurrencyParameterSensitivity;
import com.opengamma.strata.market.param.ParameterMetadata;
import com.opengamma.strata.market.param.ParameterPerturbation;
import com.opengamma.strata.market.param.ParameterizedData;
import com.opengamma.strata.market.param.UnitParameterSensitivity;

/**
 * A surface that maps a {@code double} x-value and y-value to a {@code double} z-value.
 * 

* Implementations of this interface provide the ability to find a z-value on the surface * from the x-value and y-value. *

* Each implementation will be backed by a number of parameters. * The meaning of the parameters is implementation dependent. * The sensitivity of the result to each of the parameters can also be obtained. * * @see InterpolatedNodalSurface */ public interface Surface extends ParameterizedData { /** * Gets the surface metadata. *

* This method returns metadata about the surface and the surface parameters. *

* The metadata includes an optional list of parameter metadata. * If parameter metadata is present, the size of the list will match the number of parameters of this surface. * * @return the metadata */ public abstract SurfaceMetadata getMetadata(); /** * Returns a new surface with the specified metadata. *

* This allows the metadata of the surface to be changed while retaining all other information. * If parameter metadata is present, the size of the list must match the number of parameters of this surface. * * @param metadata the new metadata for the surface * @return the new surface */ public abstract Surface withMetadata(SurfaceMetadata metadata); /** * Gets the surface name. * * @return the surface name */ public default SurfaceName getName() { return getMetadata().getSurfaceName(); } @Override public default ParameterMetadata getParameterMetadata(int parameterIndex) { return getMetadata().getParameterMetadata(parameterIndex); } @Override public default OptionalInt findParameterIndex(ParameterMetadata metadata) { return getMetadata().findParameterIndex(metadata); } @Override public abstract Surface withParameter(int parameterIndex, double newValue); @Override public default Surface withPerturbation(ParameterPerturbation perturbation) { return (Surface) ParameterizedData.super.withPerturbation(perturbation); } //------------------------------------------------------------------------- /** * Computes the z-value for the specified x-value and y-value. * * @param x the x-value to find the z-value for * @param y the y-value to find the z-value for * @return the value at the x/y point */ public abstract double zValue(double x, double y); /** * Computes the z-value for the specified pair of x-value and y-value. * * @param xyPair the pair of x-value and y-value to find the z-value for * @return the value at the x/y point */ public default double zValue(DoublesPair xyPair) { return zValue(xyPair.getFirst(), xyPair.getSecond()); } /** * Computes the sensitivity of the z-value with respect to the surface parameters. *

* This returns an array with one element for each x-y parameter of the surface. * The array contains one a sensitivity value for each parameter used to create the surface. * * @param x the x-value at which the parameter sensitivity is computed * @param y the y-value at which the parameter sensitivity is computed * @return the sensitivity at the x/y/ point * @throws RuntimeException if the sensitivity cannot be calculated */ public abstract UnitParameterSensitivity zValueParameterSensitivity(double x, double y); /** * Computes the sensitivity of the z-value with respect to the surface parameters. *

* This returns an array with one element for each x-y parameter of the surface. * The array contains one sensitivity value for each parameter used to create the surface. * * @param xyPair the pair of x-value and y-value at which the parameter sensitivity is computed * @return the sensitivity at the x/y/ point * @throws RuntimeException if the sensitivity cannot be calculated */ public default UnitParameterSensitivity zValueParameterSensitivity(DoublesPair xyPair) { return zValueParameterSensitivity(xyPair.getFirst(), xyPair.getSecond()); } /** * Computes the partial derivatives of the surface. *

* The first derivatives are {@code dz/dx and dz/dy}. * The derivatives are in the following order: *

    *
  • [0] derivative with respect to x *
  • [1] derivative with respect to y *
* * @param x the x-value at which the partial derivative is taken * @param y the y-value at which the partial derivative is taken * @return the z-value and it's partial first derivatives * @throws RuntimeException if the derivative cannot be calculated */ public abstract ValueDerivatives firstPartialDerivatives(double x, double y); //------------------------------------------------------------------------- /** * Creates a parameter sensitivity instance for this surface when the sensitivity values are known. *

* In most cases, {@link #zValueParameterSensitivity(double, double)} should be used and manipulated. * However, it can be useful to create a {@link UnitParameterSensitivity} from pre-computed sensitivity values. * * @param sensitivities the sensitivity values, which must match the parameter count of the surface * @return the sensitivity */ public default UnitParameterSensitivity createParameterSensitivity(DoubleArray sensitivities) { List paramMeta = IntStream.range(0, getParameterCount()) .mapToObj(i -> getParameterMetadata(i)) .collect(toImmutableList()); return UnitParameterSensitivity.of(getName(), paramMeta, sensitivities); } /** * Creates a parameter sensitivity instance for this surface when the sensitivity values are known. *

* In most cases, {@link #zValueParameterSensitivity(double, double)} should be used and manipulated. * However, it can be useful to create a {@link CurrencyParameterSensitivity} from pre-computed sensitivity values. * * @param currency the currency * @param sensitivities the sensitivity values, which must match the parameter count of the surface * @return the sensitivity */ public default CurrencyParameterSensitivity createParameterSensitivity(Currency currency, DoubleArray sensitivities) { List paramMeta = IntStream.range(0, getParameterCount()) .mapToObj(i -> getParameterMetadata(i)) .collect(toImmutableList()); return CurrencyParameterSensitivity.of(getName(), paramMeta, currency, sensitivities); } }





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