numerical

Note

For many functions, multiple implementations are available using various backends. If no backend is specified, the function is assumed to be implemented in pure Python. The suffix _numpy indicates that the function uses Numpy and/or Scipy. Some of the other possibilities are _alglib, _cpp, _matlab, _sympy.

On most platforms, all variants are directly available. In Rhino, only the pure Python and the _alglib variants can be used directly. All others have to be accessed through an XFunc or an RPC service.

Solvers

descent_numpy

A gradient descent optimisation solver.

devo_numpy

Call the Differential Evolution solver.

dr

Implementation of dynamic relaxation with RK integration scheme in pure Python.

dr_numpy

Implementation of the dynamic relaxation method for form findong and analysis of articulated networks of axial-force members.

drx_numpy

Run dynamic relaxation analysis.

fd_numpy

Implementation of the force density method to compute equilibrium of axial force networks.

ga

Genetic Algorithm optimisation.

moga

Multi-objective Genetic Algorithm optimisation.

pca_numpy

Compute the principle components of a set of data points.

topop_numpy

Topology optimisation in 2D using NumPy and SciPy.

Linalg

nullspace

Calculates the nullspace of the input matrix A.

rank

Calculates the rank of the input matrix A.

dof

Returns the degrees-of-freedom of the input matrix A.

pivots

Identify the pivots of input matrix U.

nonpivots

Identify the non-pivots of input matrix U.

rref

Reduced row-echelon form of matrix A.

rref_sympy

Reduced row-echelon form of matrix A.

rref_matlab

Reduced row-echelon form of matrix A.

chofactor

Returns the Cholesky factorisation/decomposition matrix.

lufactorized

Return a function for solving a sparse linear system (LU decomposition).

uvw_lengths

Calculates the lengths and co-ordinate differences.

normrow

Calculates the 2-norm of each row of matrix A.

normalizerow

Normalise the rows of matrix A.

rot90

Rotate an array of vectors through 90 degrees around an array of axes.

solve_with_known

Solve a system of linear equations with part of solution known.

spsolve_with_known

Solve (sparse) a system of linear equations with part of solution known.

Matrices

adjacency_matrix

Creates a vertex adjacency matrix.

degree_matrix

Creates a matrix representing vertex degrees.

connectivity_matrix

Creates a connectivity matrix from a list of vertex index pairs.

laplacian_matrix

Creates a laplacian matrix from a list of edge topologies.

face_matrix

Creates a face-vertex adjacency matrix.

mass_matrix

Creates a network’s nodal mass matrix.

equilibrium_matrix

Construct the equilibrium matrix of a structural system.

Operators

grad

Construct the gradient operator of a trianglular mesh.

Utilities

float_formatter

Formats float to truncated string.

set_array_print_precision

Changes float precision of float_formatter.

unset_array_print_precision

Unchanges float precision of float_formatter back to default.