Check type of obj against type_or_str Input arguments --------------- obj : type type_or_str : type or str Admissible s

Dimension of polynomial space Polynomial spaces P : {x1**i1 + x2**i2 + ... | i1+ i2+ ... <= PORDER} Q : {x1**i1 + x2**i2 + .

Return the entries of the vector tensor product of the arrays in vlst. Input arguments --------------- v0 : iterable of str or n

Return string that represents the sum of a, b. Input may be str or number. Option to simpilfy the resulting expression using sympy.

Get the linear index into a d-dimensional array with dimensions dims from an index into each dimension. Fortran ordering, negative indices

Get the index into each dimension of a d-dimensional array with dimensions dims from the linear index. Fortran ordering, negative indices

e2vcg should be in np.array

Return string that represents the quotient of a, b. Input may be str or number. Option to simpilfy the resulting expression using sympy.

Return string that represents the product of a, b. Input may be str or number. Option to simpilfy the resulting expression using sympy.

Utility to check if target is permissible Input arguments --------------- wtarg : str Target name to check

Get the (cumulative) number of partial derivatives of a function in NDIM variables when taking up to and including NDERIV derivatives

Compute one-dimensional nodal distribution over interval [-1, 1] (wrapper) Input arguments --------------- nv : int Number

Simplify expression str or iterable of str using Sympy

Surround string in parentheses, only if contents contain operation (+, -, *, /, ^)

Wrapper

Return the entries of the scalar tensor product of the arrays in vlst. If len(vlst) = ndim, then the shape of the scalar tensor product i

Return string that represents Heavidside(a). Input may be str or number.

Evaluate Lagrangian polynomial basis functions in multiple variables and derivatives from 1D nodal coordinates (XK0) and evaluation points

Evaluate Lagrangian polynomial basis functions and derivatives from nodal coordinates (XK) and evaluation points (X) Input arguments

Return index and target of entry in database Input arguments --------------- mu : iterable of number Param

Get the coefficients and exponents of the monomials basis up to degree PORDER and their derivatives. Monomial basis 0th deriv: {

Quadrature rule for hypercube [-1, 1]^ndim Input arguments --------------- ndim : int Number of spatial dimensions nq0

Quadrature rule for simplex [0, 1]^ndim Input arguments --------------- ndim : int Number of spatial dimensions nq0 :

Add parameter and corresponding targets to database. Robust to case that mu has already been seen. Input arguments -

Evaluate monomials and derivatives given coefficients, exponents, and evaluation points. Input arguments --------------- coeffs

Surround string or list of strings in parentheses

Compute Gauss-Legrendre quadruatre rule, i.e., Gaussian quadrature corresponding to Legendre orthogonal polynomials. Legrendre polynomia

Compute Gauss-Legrendre-Lobatto quadruatre rule, i.e., Gaussian quadrature corresponding to Legendre orthogonal polynomials, including [-1, 1

Return string that represents the unary operation to a, i.e., op(a). Input may be str or number. Option to simplify the resulting expression

Return the entries of the scalar tensor product of the array v0 with itself N times. Input arguments --------------- v0 : iterab

Return the entries of the vector tensor product of the arrays in vlst. If len(vlst) = ndim, then the shape of the vector tensor product i

Check if entry in database exists Input arguments --------------- mu : iterable of number Parameter to che

Check if specific target corresponding to parameter mu exists in database Input arguments --------------- mu

Compute derivatives of multidimensional monomials Input arguments --------------- coeffs0 : ndarray (nb,) Coefficients of mono

Count number of parameters with specific target Input arguments --------------- wtarg : str Target to extr

Create global residual(loss) and jacobian of conservation law in CG

Create geometry and nodes of a high-order hypercube [-1, 1]^ndim; same number of nodes and nodal distribution in all dimensions. Reference: https:

Create Numpy ndarray (type: estr, shape: dims) from iterable of strings (strlst).

Evaluate monomials and derivatives given coefficients, exponents, and evaluation points. Input arguments --------------- coeffs

Evaluate (generalized) nodal polynomial basis functions and derivatives from nodal coordinates (XK) and evaluation points (X) Input

First-order directional derivative of f about x in the direction dx Df(x; dx) = (alpha/eps)*(sum_k beta[k]*f(x+gamma[k]*eps*dx)) + O(eps^

Find target in database Input arguments --------------- mu : iterable of number Parameter to find in datab

Get the coefficients and exponents of the monomials basis of a polynomial space and their derivatives. Input arguments -------------

Get strides into a d-dimensional array with dimensions dims such that the (i0, i1, i2, ...) entry is the kth linear entry (Fortran order)

Invert an array of indices (x2y -> y2x), in general, y2x will be a list of iterable because of potential for unstructured. Input arguments -----

Check if mltidx is a valid index into an array with dimensions dims (0-based) Input arguments --------------- dims : int or iter

Compute nodal distribution over hypercube [-1, 1]^d; same number of nodes and nodal distribution in all dimensions. Input arguments

Compute nodal distribution over simplex [0, 1]^d; same number of nodes and nodal distribution in all dimensions (restricted to simplex).

Wrapper for quadrature rules implemented Input arguments --------------- n : int Number of quadrature nodes qrule : str

Return string that represents the a^b. Input may be str or number. Option to simplify the resulting expression using sympy.

Return string that represents the difference of a, b. Input may be str or number. Option to simpilfy the resulting expression using sympy.

Assembly global jacobian of conservation law (currently no use)

Assembly global residual of conservation law (!!very useful!!)

Get index of current (last) entry in database Example ------- >> idx = self.current()