TPSAInterface

InitGTPSA{D,DD}

Struct used to define a TPSA using the GTPSA.jl backend.

Defined by TPSAInterface.jl.

Constructors

InitGTPSA{D,DD}(; dynamic_descriptor=nothing)

Fields

• For static Descriptor resolution:

  • D is the Descriptor
  • DD is Nothing and dynamic_descriptor is nothing

• For dynamic Descriptor resolution:

  • D == GTPSA.Dynamic
  • DD == Descriptor and dynamic_descriptor is said Descriptor

Sets the entire TPS t equal to t1, where t1 may be another TPS or a Number. Promotion is supported; e.g. if t has numtype ComplexF64, and t1 has numtype Float64), calling copy!(t, t1) is allowed

Sets the TPS t equal to a + b

Sets all monomial coefficients in t equal to 0.

Sets m equal to m2 ∘ m1 where m1 and/or m2 may be TPS types or arrays of TPS types.

Sets t equal to t1 with monomials at order ord and above removed. Or, if ord is negative, will remove monomials with orders at and below abs(ord).

Cycles through the nonzero monomial coefficients in the TPS t starting at i. Set i equal to -1 to start at the first nonzero monomial coefficient. Returns the next nonzero monomial coefficient index and will, if provided, set m_ and v_ to the monomial orders and coefficient of the next nonzero monomial coefficient, respectively.

Sets t equal to the derivative of t1 with respect to the i-th differential.

Sets the TPS t equal to a / b

geti(t, i::Integer)

Gets the i-th monomial coefficient in the TPS t, where i=0 specifies the scalar part, and the monomials are sorted by order.

getm(t, mono)

Gets the coefficient of the monomial with orders mono.

Sets t equal to the homogenous polynomial of order ord in t1.

Sets the TPS t equal to imag(t1)

Sets the map m equal to the inverse of the map m1, ignoring any scalar part.

Returns TPSAInterface.IsTPS() iftis a TPS, elseTPSAInterface.IsNotTPS().

Returns TPSAInterface.IsTPSType() iftis a TPS type, elseTPSAInterface.IsNotTPSType().

Returns the maximum truncation order of the TPSA. t may be a TPS, TPS Type, or a AbstractTPSAInit.

Sets the TPS t equal to a * b

Returns the number of variables + parameters in the TPSA. t may be a TPS, TPS Type, or a AbstractTPSAInit.

Returns the number of monomial coefficients in the TPSA. t may be a TPS, TPS Type, or a AbstractTPSAInit.

Returns a norm of the passed TPS t including all monomial coefficients.

Returns the number type of the monomial coefficients of the TPS. t may be a TPS or TPS Type.

Sets the TPS t equal to a ^ b

Sets the TPS t equal to real(t1)

Returns the zeroth order (scalar) part of the TPS t.

seti!(t, v, i::Integer)

Sets the i-th monomial coefficient in the TPS t to v, where i=0 specifies the scalar part, and the monomials are sorted by order.

setm!(t, v, mono)

Sets the coefficient of the monomial with orders mono to v.

Sets the TPS t equal to a - b