Numeric¶
This module provides simple numeric routines in Lua.
- halmd.numeric.sum(t)¶
Compute the sum of the indexed elements of a table.
Parameters: t (table) – input table Returns: sum over all indexed elements in t
- halmd.numeric.prod(t)¶
Compute the product of the indexed elements of a table.
Parameters: t (table) – input table Returns: product over all indexed elements in t
- halmd.numeric.find_comp(t, comp)¶
Find the last value of a table that satisfies comp(a,b)
Parameters: - t (table) – input table
- comp – callable that takes two elements of t and returns true or false
Returns: last element in t that satisfied comp(a,b)
- halmd.numeric.max(t)¶
Find the maximum value in a table
Parameters: t (table) – input table Returns: maximum value in t
- halmd.numeric.min(t)¶
Find the minimum value in a table
Parameters: t (table) – input table Returns: minmum value in t
- halmd.numeric.scalar_matrix(rows, columns, value)¶
Create matrix of given size with scalar value
Parameters: - rows (number) – number of rows
- columns (number) – number of columns
- value – value for each element of the matrix
Returns: matrix of dimension
with each element set to value
- halmd.numeric.trans(m)¶
Calculate transpose of matrix
Parameters: m (matrix) – input matrix Returns: transpose of m
- halmd.numeric.diag(m)¶
Return diagonal elements of n×n matrix
Parameters: m (matrix) – input square matrix Returns: table of diagonal elements of m
- halmd.numeric.offset_to_multi_index(offset, dims)¶
Convert one-dimensional offset to multi-dimensional index
Assumes contiguous storage of the array data in row-major order.
Parameters: - offset (number) – 1-based one-dimensional offset
- dims (table) – dimensions (shape) of multi-dimensional array
Returns: 1-based multi-dimensional index of array element at offset
- halmd.numeric.multi_index_to_offset(index, dims)¶
Convert multi-dimensional index to one-dimensional offset
Assumes contiguous storage of the array data in row-major order.
Parameters: - index (table) – 1-based multi-dimensional index
- dims (table) – dimensions (shape) of multi-dimensional array
Returns: 1-based offset of array element at index