% Lightspeed Toolbox. % Efficient operations for Matlab programming. % Version 2.1 10-Oct-2006 % By Tom Minka % (c) Microsoft Corporation. All rights reserved. % % Matrix algebra % repmat - Fast replacement for matlab's repmat. % xrepmat - Matlab's original repmat. % row_sum - Sum for each row. Faster than 'sum'. % scale_rows - Scale each row of a matrix. % scale_cols - Scale each column of a matrix. % solve_triu - Left division by upper triangular matrix. % solve_tril - Left division by lower triangular matrix. % sqdist - Squared Euclidean and Mahalanobis distance. % isposdef - Check for positive-definiteness. % logdet - log(determinant) for positive definite matrix. % % Statistics % normpdf - Multivariate normal density. % normpdfln - Log of multivariate normal density. % normcdf - Normal cumulative distribution. % normcdfln - Log of normal cumulative distribution. % normcdflogit - Logit of normal cumulative distribution. % wishpdf - Wishart probability density function. % wishpdfln - Log of Wishart probability density function. % sample - Sample from categorical distribution. % sample_vector - Sample from multiple categorical distributions. % sample_hist - Sample from multinomial distribution. % randbinom - Sample from binomial distribution. % randnorm - Sample from multivariate normal. % randgamma - Sample from Gamma distribution. % randbeta - Sample from Beta distribution. % randwishart - Sample from Wishart distribution. % int_hist - Histogram of integer values. % % Utility % logsumexp - Sum in the log domain. % logmulexp - Matrix multiply in the log domain. % ndgridmat - Matrix of grid points. % ind2subv - Subscript vector from linear index. % subv2ind - Linear index from subscript vector. % gammaln - Fast replacement for matlab's gammaln. % digamma - Derivative of gammaln. % trigamma - Derivative of digamma. % ndsum - Sum over multiple dimensions. % ndmax - Maximum over multiple dimensions. % ndlogsumexp - Sum over multiple dimensions in the log domain. % maxdiff - Maximum difference between structs or arrays. % makestruct - Cell-friendly alternative to STRUCT. % setfields - Set multiple fields of a structure. % struct2arglist - Convert structure to cell array of fields/values. % sameobject - Test if two variables correspond to the same object. % find_sameobject - Find an object in a cell array. % toJava - Convert to Java representation. % fromJava - Convert from Java to Matlab. % glob - Filename expansion via wildcards. % globstrings - String matching via wildcards. % % Mutation % mutable - Convert to a mutable object. % immutable - Convert to an ordinary (immutable) object. % % Set operations % ismember_sorted - True for member of sorted set. % match - Location of matches in a set. % match_sorted - Location of matches in a sorted set. % setdiff_sorted - Set difference between sorted sets. % intersect_sorted - Set intersection between sorted sets. % union_sorted - Set union of sorted sets. % union_sorted_rows - Set union of sorted sets of row vectors. % duplicated - Find duplicated rows in a matrix. % % Readability % rows - Number of rows. % cols - Number of columns. % col_sum - Sum for each column. % setdiag - Modify the diagonals of a matrix. % finddiag - Index of elements on diagonals. % argmax - Index of maximum element. % argmin - Index of minimum element. % % Flop counting % flops - Read/write flop counter. % addflops - Add to flop counter. % flops_chol - Flops for Cholesky decomposition. % flops_col_sum - Flops for column sums. % flops_det - Flops for matrix determinant. % flops_digamma - Flops for gammaln, digamma, and trigamma. % flops_div - Flops for division. % flops_exp - Flops for exponential. % flops_inv - Flops for matrix inversion. % flops_mul - Flops for real matrix multiplication. % flops_normpdfln - Flops for normpdfln. % flops_pow - Flops for raising to real power. % flops_randnorm - Flops for randnorm. % flops_row_sum - Flops for row sums. % flops_sample - Flops for sample(p,n). % flops_solve - Flops for matrix left division. % flops_solve_tri - Flops for triangular left division. % flops_spadd - Flops for sparse matrix addition. % flops_spmul - Flops for sparse matrix multiplication. % flops_sqrt - Flops for square root. % % Stand alone programs % matfile - Read/write MAT files. % test_flops - Compare time versus flops for various math operations. % % Graphics utilities % see graphics/Contents.m % % Demos % test_repmat, % test_solve_tri, ...