org.hipparchus.analysis.differentiation.SparseGradient

All Implemented Interfaces:: Serializable, Derivative<SparseGradient>, Derivative1<SparseGradient>, DifferentialAlgebra, CalculusFieldElement<SparseGradient>, FieldElement<SparseGradient>

public class SparseGradient extends Object implements Derivative1<SparseGradient>, Serializable

First derivative computation with large number of variables.

This class plays a similar role to DerivativeStructure, with a focus on efficiency when dealing with large number of independent variables and most computation depend only on a few of them, and when only first derivative is desired. When these conditions are met, this class should be much faster than DerivativeStructure and use less memory.

See Also:

Serialized Form

Method Summary

Modifier and Type

Method

Description

SparseGradient

abs()

absolute value.

SparseGradient

add(SparseGradient a)

Compute this + a.

void

addInPlace(SparseGradient a)

Add in place.

SparseGradient

atan2(SparseGradient x)

Two arguments arc tangent operation.

static SparseGradient

atan2(SparseGradient y, SparseGradient x)

Two arguments arc tangent operation.

SparseGradient

compose(double... f)

Compute composition of the instance by a univariate function.

SparseGradient

compose(double f0, double f1)

Compute composition of the instance by a univariate function differentiable at order 1.

SparseGradient

copySign(double sign)

Returns the instance with the sign of the argument.

SparseGradient

copySign(SparseGradient sign)

Returns the instance with the sign of the argument.

static SparseGradient

createConstant(double value)

Factory method creating a constant.

static SparseGradient

createVariable(int idx, double value)

Factory method creating an independent variable.

SparseGradient

divide(double c)

'÷' operator.

SparseGradient

divide(SparseGradient a)

Compute this ÷ a.

boolean

equals(Object other)

Test for the equality of two sparse gradients.

double

getDerivative(int index)

Get the derivative with respect to a particular index variable.

Field<SparseGradient>

getField()

Get the Field to which the instance belongs.

int

getFreeParameters()

Get the number of free parameters.

double

getPartialDerivative(int... orders)

Get a partial derivative.

SparseGradient

getPi()

Get the Archimedes constant π.

double

getValue()

Get the value of the function.

int

hashCode()

Get a hashCode for the derivative structure.

SparseGradient

hypot(SparseGradient y)

Returns the hypotenuse of a triangle with sides this and y - sqrt(this² +y²) avoiding intermediate overflow or underflow.

static SparseGradient

hypot(SparseGradient x, SparseGradient y)

Returns the hypotenuse of a triangle with sides x and y - sqrt(x² +y²) avoiding intermediate overflow or underflow.

SparseGradient

linearCombination(double[] a, SparseGradient[] b)

Compute a linear combination.

SparseGradient

linearCombination(double a1, SparseGradient b1, double a2, SparseGradient b2)

Compute a linear combination.

SparseGradient

linearCombination(double a1, SparseGradient b1, double a2, SparseGradient b2, double a3, SparseGradient b3)

Compute a linear combination.

SparseGradient

linearCombination(double a1, SparseGradient b1, double a2, SparseGradient b2, double a3, SparseGradient b3, double a4, SparseGradient b4)

Compute a linear combination.

SparseGradient

linearCombination(SparseGradient[] a, SparseGradient[] b)

Compute a linear combination.

SparseGradient

linearCombination(SparseGradient a1, SparseGradient b1, SparseGradient a2, SparseGradient b2)

Compute a linear combination.

SparseGradient

linearCombination(SparseGradient a1, SparseGradient b1, SparseGradient a2, SparseGradient b2, SparseGradient a3, SparseGradient b3)

Compute a linear combination.

SparseGradient

linearCombination(SparseGradient a1, SparseGradient b1, SparseGradient a2, SparseGradient b2, SparseGradient a3, SparseGradient b3, SparseGradient a4, SparseGradient b4)

Compute a linear combination.

SparseGradient

multiply(double c)

'×' operator.

SparseGradient

multiply(int n)

Compute n × this.

SparseGradient

multiply(SparseGradient a)

Compute this × a.

void

multiplyInPlace(SparseGradient a)

Multiply in place.

SparseGradient

negate()

Returns the additive inverse of this element.

SparseGradient

newInstance(double v)

Create an instance corresponding to a constant real value.

int

numVars()

Deprecated.

SparseGradient

pow(double p)

Power operation.

static SparseGradient

pow(double a, SparseGradient x)

Compute a^x where a is a double and x a SparseGradient

SparseGradient

pow(int n)

Integer power operation.

SparseGradient

remainder(double a)

IEEE remainder operator.

SparseGradient

remainder(SparseGradient a)

IEEE remainder operator.

SparseGradient

scalb(int n)

Multiply the instance by a power of 2.

SparseGradient

sqrt()

Square root.

SparseGradient

subtract(SparseGradient a)

Compute this - a.

double

taylor(double... delta)

Evaluate Taylor expansion of a sparse gradient.

SparseGradient

toDegrees()

Convert radians to degrees, with error of less than 0.5 ULP

SparseGradient

toRadians()

Convert degrees to radians, with error of less than 0.5 ULP

SparseGradient

withValue(double v)

Create a new object with new value (zeroth-order derivative, as passed as input) and same derivatives of order one and above.

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.hipparchus.CalculusFieldElement
ceil, floor, isFinite, isInfinite, isNaN, norm, rint, round, sign, ulp

Methods inherited from interface org.hipparchus.analysis.differentiation.Derivative
add, getExponent, getReal, pow, subtract

Methods inherited from interface org.hipparchus.analysis.differentiation.Derivative1
acos, acosh, asin, asinh, atan, atanh, cbrt, cos, cosh, exp, expm1, getOrder, log, log10, log1p, reciprocal, rootN, sin, sinCos, sinh, sinhCosh, square, tan, tanh

Methods inherited from interface org.hipparchus.FieldElement
isZero

Method Details
- getFreeParameters
  
  public int getFreeParameters()
  
  Get the number of free parameters.
  
  Specified by:
  
  getFreeParameters in interface DifferentialAlgebra
  
  Returns:
  
  number of free parameters
- getPartialDerivative
  
  public double getPartialDerivative(int... orders) throws MathIllegalArgumentException
  
  Get a partial derivative.
  Specified by:
  
  getPartialDerivative in interface Derivative<SparseGradient>
  
  Parameters:
  
  orders - derivation orders with respect to each variable (if all orders are 0, the value is returned)
  
  Returns:
  
  partial derivative
  
  Throws:
  
  MathIllegalArgumentException - if the numbers of variables does not match the instance
  
  See Also:
  
  Derivative.getValue()
- newInstance
  
  public SparseGradient newInstance(double v)
  
  Create an instance corresponding to a constant real value.
  
  Specified by:
  
  newInstance in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  v - constant real value
  
  Returns:
  
  instance corresponding to a constant real value
- withValue
  
  public SparseGradient withValue(double v)
  
  Create a new object with new value (zeroth-order derivative, as passed as input) and same derivatives of order one and above.
  This default implementation is there so that no API gets broken by the next release, which is not a major one. Custom inheritors should probably overwrite it.
  
  Specified by:
  
  withValue in interface Derivative<SparseGradient>
  
  Parameters:
  
  v - zeroth-order derivative of new represented function
  
  Returns:
  
  new object with changed value
- createConstant
  
  public static SparseGradient createConstant(double value)
  
  Factory method creating a constant.
  
  Parameters:
  
  value - value of the constant
  
  Returns:
  
  a new instance
- createVariable
  
  public static SparseGradient createVariable(int idx, double value)
  
  Factory method creating an independent variable.
  
  Parameters:
  
  idx - index of the variable
  
  value - value of the variable
  
  Returns:
  
  a new instance
- numVars
  
  @Deprecated public int numVars()
  
  Deprecated.
  
  Find the number of variables.
  
  Returns:
  
  number of variables
- getDerivative
  
  public double getDerivative(int index)
  
  Get the derivative with respect to a particular index variable.
  
  Parameters:
  
  index - index to differentiate with.
  
  Returns:
  
  derivative with respect to a particular index variable
- getValue
  
  public double getValue()
  
  Get the value of the function.
  
  Specified by:
  
  getValue in interface Derivative<SparseGradient>
  
  Returns:
  
  value of the function.
- add
  
  public SparseGradient add(SparseGradient a)
  
  Compute this + a.
  
  Specified by:
  
  add in interface FieldElement<SparseGradient>
  
  Parameters:
  
  a - element to add
  
  Returns:
  
  a new element representing this + a
- addInPlace
  
  public void addInPlace(SparseGradient a)
  
  Add in place.
  This method is designed to be faster when used multiple times in a loop.
  
  The instance is changed here, in order to not change the instance the add(SparseGradient) method should be used.
  
  Parameters:
  
  a - instance to add
- subtract
  
  public SparseGradient subtract(SparseGradient a)
  
  Compute this - a.
  
  Specified by:
  
  subtract in interface CalculusFieldElement<SparseGradient>
  
  Specified by:
  
  subtract in interface FieldElement<SparseGradient>
  
  Parameters:
  
  a - element to subtract
  
  Returns:
  
  a new element representing this - a
- multiply
  
  public SparseGradient multiply(SparseGradient a)
  
  Compute this × a.
  
  Specified by:
  
  multiply in interface FieldElement<SparseGradient>
  
  Parameters:
  
  a - element to multiply
  
  Returns:
  
  a new element representing this × a
- multiplyInPlace
  
  public void multiplyInPlace(SparseGradient a)
  
  Multiply in place.
  This method is designed to be faster when used multiple times in a loop.
  
  The instance is changed here, in order to not change the instance the add(SparseGradient) method should be used.
  
  Parameters:
  
  a - instance to multiply
- multiply
  
  public SparseGradient multiply(double c)
  
  '×' operator.
  
  Specified by:
  
  multiply in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  c - right hand side parameter of the operator
  
  Returns:
  
  this×a
- multiply
  
  public SparseGradient multiply(int n)
  
  Compute n × this. Multiplication by an integer number is defined as the following sum \[ n \times \mathrm{this} = \sum_{i=1}^n \mathrm{this} \]
  
  Specified by:
  
  multiply in interface CalculusFieldElement<SparseGradient>
  
  Specified by:
  
  multiply in interface FieldElement<SparseGradient>
  
  Parameters:
  
  n - Number of times this must be added to itself.
  
  Returns:
  
  A new element representing n × this.
- divide
  
  public SparseGradient divide(SparseGradient a)
  
  Compute this ÷ a.
  
  Specified by:
  
  divide in interface CalculusFieldElement<SparseGradient>
  
  Specified by:
  
  divide in interface FieldElement<SparseGradient>
  
  Parameters:
  
  a - element to divide by
  
  Returns:
  
  a new element representing this ÷ a
- divide
  
  public SparseGradient divide(double c)
  
  '÷' operator.
  
  Specified by:
  
  divide in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  c - right hand side parameter of the operator
  
  Returns:
  
  this÷a
- negate
  
  public SparseGradient negate()
  
  Returns the additive inverse of this element.
  
  Specified by:
  
  negate in interface FieldElement<SparseGradient>
  
  Returns:
  
  the opposite of this.
- getField
  
  public Field<SparseGradient> getField()
  
  Get the Field to which the instance belongs.
  
  Specified by:
  
  getField in interface FieldElement<SparseGradient>
  
  Returns:
  
  Field to which the instance belongs
- remainder
  
  public SparseGradient remainder(double a)
  
  IEEE remainder operator.
  
  Specified by:
  
  remainder in interface CalculusFieldElement<SparseGradient>
  
  Specified by:
  
  remainder in interface Derivative<SparseGradient>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this - n × a where n is the closest integer to this/a
- remainder
  
  public SparseGradient remainder(SparseGradient a)
  
  IEEE remainder operator.
  
  Specified by:
  
  remainder in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  a - right hand side parameter of the operator
  
  Returns:
  
  this - n × a where n is the closest integer to this/a
- abs
  
  public SparseGradient abs()
  
  absolute value.
  
  Specified by:
  
  abs in interface CalculusFieldElement<SparseGradient>
  
  Returns:
  
  abs(this)
- copySign
  
  public SparseGradient copySign(SparseGradient sign)
  
  Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.
  
  Specified by:
  
  copySign in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  sign - the sign for the returned value
  
  Returns:
  
  the instance with the same sign as the sign argument
- copySign
  
  public SparseGradient copySign(double sign)
  
  Returns the instance with the sign of the argument. A NaN sign argument is treated as positive.
  
  Specified by:
  
  copySign in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  sign - the sign for the returned value
  
  Returns:
  
  the instance with the same sign as the sign argument
- scalb
  
  public SparseGradient scalb(int n)
  
  Multiply the instance by a power of 2.
  
  Specified by:
  
  scalb in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  n - power of 2
  
  Returns:
  
  this × 2ⁿ
- hypot
  
  public SparseGradient hypot(SparseGradient y)
  Returns the hypotenuse of a triangle with sides this and y - sqrt(this² +y²) avoiding intermediate overflow or underflow.
  
  If either argument is infinite, then the result is positive infinity.
  
  else, if either argument is NaN then the result is NaN.
  Specified by:
  
  hypot in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  y - a value
  
  Returns:
  
  sqrt(this² +y²)
- hypot
  
  public static SparseGradient hypot(SparseGradient x, SparseGradient y)
  Returns the hypotenuse of a triangle with sides x and y - sqrt(x² +y²) avoiding intermediate overflow or underflow.
  
  If either argument is infinite, then the result is positive infinity.
  
  else, if either argument is NaN then the result is NaN.
  Parameters:
  
  x - a value
  
  y - a value
  
  Returns:
  
  sqrt(x² +y²)
- sqrt
  
  public SparseGradient sqrt()
  
  Square root.
  
  Specified by:
  
  sqrt in interface CalculusFieldElement<SparseGradient>
  
  Specified by:
  
  sqrt in interface Derivative1<SparseGradient>
  
  Returns:
  
  square root of the instance
- pow
  
  public SparseGradient pow(double p)
  
  Power operation.
  
  Specified by:
  
  pow in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  p - power to apply
  
  Returns:
  
  this^p
- pow
  
  public SparseGradient pow(int n)
  
  Integer power operation.
  
  Specified by:
  
  pow in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  n - power to apply
  
  Returns:
  
  thisⁿ
- pow
  
  public static SparseGradient pow(double a, SparseGradient x)
  
  Compute a^x where a is a double and x a SparseGradient
  
  Parameters:
  
  a - number to exponentiate
  
  x - power to apply
  
  Returns:
  
  a^x
- atan2
  
  public SparseGradient atan2(SparseGradient x)
  
  Two arguments arc tangent operation.
  Beware of the order or arguments! As this is based on a two-arguments functions, in order to be consistent with arguments order, the instance is the first argument and the single provided argument is the second argument. In order to be consistent with programming languages atan2, this method computes atan2(this, x), i.e. the instance represents the y argument and the x argument is the one passed as a single argument. This may seem confusing especially for users of Wolfram alpha, as this site is not consistent with programming languages atan2 two-arguments arc tangent and puts x as its first argument.
  
  Specified by:
  
  atan2 in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  x - second argument of the arc tangent
  
  Returns:
  
  atan2(this, x)
- atan2
  
  public static SparseGradient atan2(SparseGradient y, SparseGradient x)
  
  Two arguments arc tangent operation.
  
  Parameters:
  
  y - first argument of the arc tangent
  
  x - second argument of the arc tangent
  
  Returns:
  
  atan2(y, x)
- toDegrees
  
  public SparseGradient toDegrees()
  
  Convert radians to degrees, with error of less than 0.5 ULP
  
  Specified by:
  
  toDegrees in interface CalculusFieldElement<SparseGradient>
  
  Returns:
  
  instance converted into degrees
- toRadians
  
  public SparseGradient toRadians()
  
  Convert degrees to radians, with error of less than 0.5 ULP
  
  Specified by:
  
  toRadians in interface CalculusFieldElement<SparseGradient>
  
  Returns:
  
  instance converted into radians
- taylor
  
  public double taylor(double... delta)
  
  Evaluate Taylor expansion of a sparse gradient.
  
  Parameters:
  
  delta - parameters offsets (Δx, Δy, ...)
  
  Returns:
  
  value of the Taylor expansion at x + Δx, y + Δy, ...
- compose
  
  public SparseGradient compose(double... f)
  
  Compute composition of the instance by a univariate function.
  
  Specified by:
  
  compose in interface Derivative<SparseGradient>
  
  Parameters:
  
  f - array of value and derivatives of the function at the current point (i.e. [f(getValue()), f'(getValue()), f''(getValue())...]).
  
  Returns:
  
  f(this)
  
  Throws:
  
  MathIllegalArgumentException - if the number of elements in the array is not equal to 2 (i.e. value and first derivative)
- compose
  
  public SparseGradient compose(double f0, double f1)
  
  Compute composition of the instance by a univariate function differentiable at order 1.
  
  Specified by:
  
  compose in interface Derivative1<SparseGradient>
  
  Parameters:
  
  f0 - value of function
  
  f1 - first-order derivative
  
  Returns:
  
  f(this)
- linearCombination
  
  public SparseGradient linearCombination(SparseGradient[] a, SparseGradient[] b) throws MathIllegalArgumentException
  
  Compute a linear combination.
  
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  a - Factors.
  
  b - Factors.
  
  Returns:
  
  Σ_i a_i b_i.
  
  Throws:
  
  MathIllegalArgumentException - if arrays dimensions don't match
- linearCombination
  
  public SparseGradient linearCombination(double[] a, SparseGradient[] b)
  
  Compute a linear combination.
  
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  Parameters:
  
  a - Factors.
  
  b - Factors.
  
  Returns:
  
  Σ_i a_i b_i.
- linearCombination
  
  public SparseGradient linearCombination(SparseGradient a1, SparseGradient b1, SparseGradient a2, SparseGradient b2)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  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:
  
  a₁×b₁ + a₂×b₂
  
  See Also:
  
  CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)
  
  CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)
- linearCombination
  
  public SparseGradient linearCombination(double a1, SparseGradient b1, double a2, SparseGradient b2)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  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:
  
  a₁×b₁ + a₂×b₂
  
  See Also:
  
  CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement)
  
  CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement, double, FieldElement)
- linearCombination
  
  public SparseGradient linearCombination(SparseGradient a1, SparseGradient b1, SparseGradient a2, SparseGradient b2, SparseGradient a3, SparseGradient b3)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  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:
  
  a₁×b₁ + a₂×b₂ + a₃×b₃
  
  See Also:
  
  CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement)
  
  CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)
- linearCombination
  
  public SparseGradient linearCombination(double a1, SparseGradient b1, double a2, SparseGradient b2, double a3, SparseGradient b3)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  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:
  
  a₁×b₁ + a₂×b₂ + a₃×b₃
  
  See Also:
  
  CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement)
  
  CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement, double, FieldElement)
- linearCombination
  
  public SparseGradient linearCombination(SparseGradient a1, SparseGradient b1, SparseGradient a2, SparseGradient b2, SparseGradient a3, SparseGradient b3, SparseGradient a4, SparseGradient b4)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  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:
  
  a₁×b₁ + a₂×b₂ + a₃×b₃ + a₄×b₄
  
  See Also:
  
  CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement)
  
  CalculusFieldElement.linearCombination(FieldElement, FieldElement, FieldElement, FieldElement, FieldElement, FieldElement)
- linearCombination
  
  public SparseGradient linearCombination(double a1, SparseGradient b1, double a2, SparseGradient b2, double a3, SparseGradient b3, double a4, SparseGradient b4)
  
  Compute a linear combination.
  Specified by:
  
  linearCombination in interface CalculusFieldElement<SparseGradient>
  
  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:
  
  a₁×b₁ + a₂×b₂ + a₃×b₃ + a₄×b₄
  
  See Also:
  
  CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement)
  
  CalculusFieldElement.linearCombination(double, FieldElement, double, FieldElement, double, FieldElement)
- getPi
  
  public SparseGradient getPi()
  
  Get the Archimedes constant π.
  Archimedes constant is the ratio of a circle's circumference to its diameter.
  
  Specified by:
  
  getPi in interface CalculusFieldElement<SparseGradient>
  
  Returns:
  
  Archimedes constant π
- equals
  
  public boolean equals(Object other)
  
  Test for the equality of two sparse gradients.
  Sparse gradients are considered equal if they have the same value and the same derivatives.
  
  Overrides:
  
  equals in class Object
  
  Parameters:
  
  other - Object to test for equality to this
  
  Returns:
  
  true if two sparse gradients are equal
- hashCode
  
  public int hashCode()
  
  Get a hashCode for the derivative structure.
  
  Overrides:
  
  hashCode in class Object
  
  Returns:
  
  a hash code value for this object

Class SparseGradient

Method Summary

Methods inherited from class java.lang.Object

Methods inherited from interface org.hipparchus.CalculusFieldElement

Methods inherited from interface org.hipparchus.analysis.differentiation.Derivative

Methods inherited from interface org.hipparchus.analysis.differentiation.Derivative1

Methods inherited from interface org.hipparchus.FieldElement

Method Details

getFreeParameters

getPartialDerivative

newInstance

withValue

createConstant

createVariable

numVars

getDerivative

getValue

add

addInPlace

subtract

multiply

multiplyInPlace

multiply

multiply

divide

divide

negate

getField

remainder

remainder

abs

copySign

copySign

scalb

hypot

hypot

sqrt

pow

pow

pow

atan2

atan2

toDegrees

toRadians

taylor

compose

compose

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

linearCombination

getPi

equals

hashCode