Structure

This class defines the Polynomials in one argument.

ConstructorMethods

Polynomial1D function

We can create an instance by calling Polynomial1D function.

Interface

MODULE PURE FUNCTION Polynomial1D(coeff, degree, varname) &
  & RESULT(ans)
  REAL(DFP), INTENT(IN) :: coeff(:)
  INTEGER(I4B), INTENT(IN) :: degree(:)
  CHARACTER(LEN=*), INTENT(IN) :: varname
  TYPE(Polynomial1D_) :: ans
END FUNCTION Polynomial1D

• coeff coefficient of polynomial
• degree degress of monomials
• varname variable name

!!! example "Example"

• [[Polynomial1D_test_1]]

Polynomial1D_Pointer

Same as Polynomial1D function, but returns the pointer to a newly created instance of Polynomial.

Deallocate

Deallocate the Polynomial.

CALL obj%Deallocate()

GetMethods

Eval

Evaluate the function at a given point.

Interface:

MODULE PURE FUNCTION Polynomial1D(coeff, degree, &
  & varname) RESULT(ans)
  REAL(DFP), INTENT(IN) :: coeff(:)
  INTEGER(I4B), INTENT(IN) :: degree(:)
  CHARACTER(LEN=*), INTENT(IN) :: varname
  TYPE(Polynomial1D_) :: ans
END FUNCTION Polynomial1D

!!! example "Example"

• [[Polynomial1D_test_2]]

EvalGradient

Evaluate first derivative of the polynomial at a given point.

Interface:

MODULE ELEMENTAL FUNCTION EvalGradient(obj, x) RESULT(ans)
  CLASS(Polynomial1D_), INTENT(IN) :: obj
  REAL(DFP), INTENT(IN) :: x
  REAL(DFP) :: ans
END FUNCTION EvalGradient

!!! example "Example"

• [[Polynomial1D_test_2]]

Grad

Returns the gradient of the polynomial as an instance of a polynomial.

Interface:

MODULE ELEMENTAL FUNCTION Grad(obj) RESULT(ans)
  CLASS(Polynomial1D_), INTENT(IN) :: obj
  TYPE(Polynomial1D_) :: ans
END FUNCTION Grad

!!! example "Example"

• [[Polynomial1D_test_2]]

GetStringForUID

Returns the string for creating the UID. This routine is for internal use only.

GetDegree

Returns the degrees of monomials.

!!! example "Example"

• [[Polynomial1D_test_2]]

GetDisplayString

REturns the string for displaying the contents of the Polynomial.

GetCoeff

Returns the coefficient of the polynomials. See, [[Polynomial1D_test_2]]

GetOrder

Returns the order of the Polynomial.

IOMethods

Display

Display the content of the polynomial.

OperatorMethods

OPERATOR(+)

• We can add two instances of [[Monomial1D_]] to obtain an instance of [[Polynomial1D_]].
• We can add a [[Monomial1D_]] and a scalar to get an instance of [[Polynomial1D_]]
• We can add an instance of [[Polynomial1D_]] and an instance of [[Monomial1D_]] to get an instance of [[Polynomial1D_]].
• We can add two instances of [[Polynomial1D_]] to get an instance of [[Polynomial1D_]].Grad.
• We can add an instance of [[Polynomial1D_]] and a scalar to get an instance of [[Polynomial1D_]].

!!! example "Examples"

• [[Polynomial1D_test_5.md]]

OPERATOR(*)

• We can multiply two instances of [[Monomial1D_]] to obtain an instance of [[Polynomial1D_]].
• We can multiply a [[Monomial1D_]] and a scalar to get an instance of [[Polynomial1D_]]
• We can multiply an instance of [[Polynomial1D_]] and an instance of [[Monomial1D_]] to get an instance of [[Polynomial1D_]].
• We can multiply two instances of [[Polynomial1D_]] to get an instance of [[Polynomial1D_]].Grad.
• We can multiply an instance of [[Polynomial1D_]] and a scalar to get an instance of [[Polynomial1D_]].

!!! example "Examples"

• [[Polynomial1D_test_4.md]]

OPERATOR(-)

• We can subtract two instances of [[Monomial1D_]] to obtain an instance of [[Polynomial1D_]].
• We can subtract a [[Monomial1D_]] and a scalar to get an instance of [[Polynomial1D_]]
• We can subtract an instance of [[Polynomial1D_]] and an instance of [[Monomial1D_]] to get an instance of [[Polynomial1D_]].
• We can subtract two instances of [[Polynomial1D_]] to get an instance of [[Polynomial1D_]].Grad.
• We can subtract an instance of [[Polynomial1D_]] and a scalar to get an instance of [[Polynomial1D_]].

!!! example "Examples"

• [[Polynomial1D_test_6.md]]

ASSIGNMENT(=)

• Poly=Poly
• Poly=Mono
• Poly=Scalar