COMPLEX - Converts argument to complex type.
CONJ - Returns the complex conjugate of X.
DCOMPLEX - Converts argument to double-precision complex type.
IMAGINARY - Returns the imaginary part of a complex value.
REAL_PART - Returns the real part of a complex-valued argument.
A_CORRELATE - Computes autocorrelation.
C_CORRELATE - Computes cross correlation.
CORRELATE - Computes the linear Pearson correlation.
M_CORRELATE - Computes multiple correlation coefficient.
P_CORRELATE - Computes partial correlation coefficient.
R_CORRELATE - Computes rank correlation.
COMFIT - Fits paired data using one of six common filtering functions.
CRVLENGTH - Computes the length of a curve.
CURVEFIT - Fits multivariate data with a user-supplied function.
GAUSS2DFIT - Fits a 2D elliptical Gaussian equation to rectilinearly gridded data.
GAUSSFIT - Fits the sum of a Gaussian and a quadratic.
GRID_TPS - Uses thin plate splines to interpolate a set of values over a regular 2D grid, from irregularly sampled data values.
KRIG2D - Interpolates set of points using kriging.
LADFIT - Fits paired data using least absolute deviation method.
LINFIT - Fits by minimizing the Chi-square error statistic.
LMFIT - Does a non-linear least squares fit.
MIN_CURVE_SURF - Interpolates points with a minimum curvature surface or a thin-plate-spline surface. Useful with CONTOUR.
POLY_FIT - Performs a least-square polynomial fit.
REGRESS - Computes fit using multiple linear regression.
SFIT - Performs polynomial fit to a surface.
SVDFIT - Multivariate least squares fit using SVD method.
TRIGRID - Interpolates irregularly-gridded data to a regular grid from a triangulation.
CRVLENGTH - Computes the length of a curve.
DERIV - Performs differentiation using 3-point Langrangian interpolation.
DERIVSIG - Computes standard deviation of derivative found by DERIV.
INT_2D - Computes the double integral of a bivariate function.
INT_3D - Computes the triple integral of a trivariate function.
INT_TABULATED - Integrates a tabulated set of data.
LSODE - Advances a solution to a system of ordinary differential equations one time-step H.
QROMB - Evaluates integral over a closed interval.
QROMO - Evaluates integral over an open interval.
QSIMP - Evaluates integral using Simpson’s rule.
RK4 - Solves differential equations using fourth-order Runge-Kutta method.
EIGENQL - Computes eigenvalues and eigenvectors of a real, symmetric array.
EIGENVEC - Computes eigenvectors of a real, non-symmetric array.
ELMHES - Reduces nonsymmetric array to upper Hessenberg form.
HQR - Returns all eigenvalues of an upper Hessenberg array.
TRIQL - Determines eigenvalues and eigenvectors of tridiagonal array.
TRIRED - Reduces a real, symmetric array to tridiagonal form.
BILINEAR - Computes array using bilinear interpolation.
CONGRID - Shrinks or expands the size of an array by an arbitrary amount.
GRID_INPUT - Preprocesses and sorts two-dimensional scattered data points, and removes duplicate values.
GRID_TPS - Uses thin plate splines to interpolate a set of values over a regular 2D grid, from irregularly sampled data values.
GRID3 - Creates a regularly-gridded 3D dataset from a set of scattered 3D nodes.
GRIDDATA - Interpolates scattered data values and locations sampled on a plane or a sphere to a regular grid.
INTERPOL - Performs linear interpolation on vectors.
INTERPOLATE - Returns an array of interpolates.
KRIG2D - Interpolates set of points using kriging.
MIN_CURVE_SURF - Interpolates points with a minimum curvature surface or a thin-plate-spline surface. Useful with CONTOUR.
POLY - Interpolates a surface from polar coordinates to rectangular coordinates.
SPH_SCAT - Performs spherical gridding.
SPL_INIT - Establishes the type of interpolating spline.
SPL_INTERP - Performs cubic spline interpolation (Numerical Recipes).
REBIN - Resizes a vector or an array to a set of given dimensions.
SPLINE - Performs cubic spline interpolation.
SPLINE_P - Performs parametric cubic spline interpolation.
TRI_SURF - Interpolates gridded set of points with a smooth quintic surface.
TRIANGULATE - Constructs Delaunay triangulation of a planar set of points.
TRIGRID - Interpolates irregularly-gridded data to a regular grid from a triangulation.
VALUE_LOCATE - Finds the intervals within a given monotonic vector that brackets a given set of one or more search values.
VORONOI - Computes Voronoi polygon given Delaunay triangulation.
CTI_TEST - Performs chi-square goodness-of-fit test.
FV_TEST - Performs the F-variance test.
KW_TEST - Performs Kruskal-Wallis H-test.
LNP_TEST - Computes the Lomb Normalized Periodogram.
MD_TEST - Performs the Median Delta test.
R_TEST - Runs test for randomness.
RS_TEST - Performs the Wilcoxon Rank-Sum test.
S_TEST - Performs the Sign test.
TM_TEST - Performs t-means test.
XSQ_TEST - Computes Chi-square goodness-of-fit test.
LA_CHOLDC - Computes the Cholesky factorization of an n-by-n symmetric positive-definite array.
LA_CHOLMPROVE - Uses Cholesky factorization to improve the solution to a system of linear equations.
LA_CHOLSOL - Used in conjunction with LA_CHOLDC to solve a set of linear equations.
LA_DETERM - Uses LU decomposition to compute the determinant of a square array.
LA_EIGENPROBLEM - Uses the QR algorithm to compute eigenvalues and eigenvectors of an array.
LA_EIGENQL - Computes selected eigenvalues and eigenvectors.
LA_EIGENVEC - Uses the QR algorithm to compute all of some eigenvectors of an array.
LA_ELMHES - Reduces a real nonsymmetric or complex array to upper Hessenberg from.
LA_GM_LINEAR_MODEL - Used to solve a general Gauss-Markov linear model problem.
LA_HQR - Uses the multishift QR algorithm to compute all eigenvalues of an array.
LA_INVERT - Uses LU decomposition to compute the inverse of a square array.
LA_LEAST_SQUARE_EQUALITY - Used to solve linear least-squares problems.
LA_LEAST_SQUARES - Used to solve linear least-squares problems.
LA_LINEAR_EQUATION - Uses LU decomposition to sole a system of linear equations.
LA_LUDC - Computes the LU decomposition of an array.
LA_LUMPROVE - Uses LU decomposition to improve the solution to a system of linear equations.
LA_LUSOL - Used in conjunction with LA_LUDC to solve a set of linear equations.
LA_SVD - Computes the singular value decomposition of an array.
LA_TRIDC - Computes the LU decomposition of a tridiagonal array.
LA_TRIMPROVE - Improves the solution to a system of linear equations with a tridiagonal array.
LA_TRIQL - Uses the QL and QR variants of the implicitly-shifted QR algorithm to compute the eigenvalues and eigenvectors of an array.
LA_TRIRED - Reduces a real symmetric or complex Hermitian array to real tridiagonal from.
LA_TRISOL - Used in conjunction with LA_TRIDC to solve a set of linear equations.
CHOLDC - Constructs Cholesky decomposition of a matrix.
CHOLSOL - Solves set of linear equations (use with CHOLDC).
COND - Computes the condition number of a square matrix.
CRAMER - Solves system of linear equations using Cramer’s rule.
CROSSP - Computes vector cross product.
DETERM - Computes the determinant of a square matrix.
GS_ITER - Solves linear system using Gauss-Seidel iteration.
IDENTITY - Returns an identity array.
INVERT - Computes the inverse of a square array.
LINBCG - Solves a set of sparse linear equations using the iterative biconjugate gradient method.
LU_COMPLEX - Solves complex linear system using LU decomposition.
LUDC - Replaces array with the LU decomposition.
LUMPROVE - Uses LU decomposition to iteratively improve an approximate solution.
LUSOL - Solves a set of linear equations. Use with LUDC.
NORM - Computes Euclidean norm of vector or Infinity norm of array.
SVDC - Computes Singular Value Decomposition of an array.
SVSOL - Solves set of linear equations using back-substitution.
TRACE - Computes the trace of an array.
TRISOL - Solves tridiagonal systems of linear equations.
CHECK_MATH - Returns and clears accumulated math error status.
FINITE - Returns True if its argument is finite.
MACHAR - Determines and returns machine-specific parameters affecting floating-point arithmetic.
ABS - Returns the absolute value of X.
CEIL - Returns the closest integer greater than or equal to X.
CIR_3PNT - Returns radius and center of circle, given 3 points.
COMPLEXROUND - Rounds a complex array.
DIAG_MATRIX - Constructs a diagonal matrix from an input vector, or if given a matrix, then extracts a diagonal vector.
DIST - Creates array with each element proportional to its frequency.
EXP - Returns the natural exponential function of given expression.
FLOOR - Returns closest integer less than or equal to argument.
IMAGINARY - Returns the imaginary part of a complex value.
ISHFT - Performs integer bit shift.
LEEFILT - Performs the Lee filter algorithm on an image array.
MATRIX_MULTIPLY - Calculates the IDL matrix-multiply operator (#) of two (possibly transposed) arrays.
MATRIX_POWER - Computes the product of a matrix with itself.
PNT_LINE - Returns the perpendicular distance between a point and a line.
POLY_AREA - Returns the area of a polygon given the coordinates of its vertices.
PRIMES - Computes the first K prime numbers.
PRODUCT - Returns the product of elements within an array.
ROUND - Returns the integer closest to its argument.
SPH_4PNT - Returns center and radius of a sphere given 4 points.
SQRT - Returns the square root of X.
TOTAL - Sums of the elements of an array.
VOIGT - Calculates intensity of atomic absorption line (Voight) profile.
CLUST_WTS - Computes cluster weights of array for cluster analysis.
CLUSTER - Performs cluster analysis.
CLUSTER_TREE - Computes the hierarchical clustering for a set of m items in an n-dimensional space.
CTI_TEST - Performs chi-square goodness-of-fit test.
DENDRO_PLOT - Draws a two-dimensional dendrite plot on the current direct graphics device if given a hierarchical tree cluster, as created by CLUSTER_TREE. (Direct Graphics)
DENDROGRAM - Constructs a dendrogram and returns a set of vertices and connectivity that can be used to visualize the dendrite plot if given a hierarchical tree cluster, as created by CLUSTER_TREE.
DISTANCE_MEASURE - Computes the pairwise distance between a set of items or observations.
KW_TEST - Performs Kruskal-Wallis H-test.
M_CORRELATE - Computes multiple correlation coefficient.
P_CORRELATE - Computes partial correlation coefficient.
PCOMP - Computes principal components/derived variables.
STANDARDIZE - Computes standardized variables.
BROYDEN - Solves nonlinear equations using Broyden’s method.
FX_ROOT - Computes real and complex roots of a univariate nonlinear function using an optimal Müller’s method.
FZ_ROOTS - Finds the roots of a complex polynomial using Laguerre’s method.
NEWTON - Solves nonlinear equations using Newton’s method.
AMOEBA - Minimizes a function using downhill simplex method.
CONSTRAINED_MIN - Minimizes a function using Generalized Reduced Gradient Method.
DFPMIN - Minimizes a function using Davidon-Fletcher-Powell method.
POWELL - Minimizes a function using the Powell method.
SIMPLEX - Use the simplex method to solve linear programming problems.
BINOMIAL - Computes binomial distribution function.
CHISQR_CVF - Computes cutoff value in a Chi-square distribution.
CHISQR_PDF - Computes Chi-square distribution function.
F_CVF - Computes the cutoff value in an F distribution.
F_PDF - Computes the F distribution function.
GAUSS_CVF - Computes cutoff value in Gaussian distribution.
GAUSS_PDF - Computes Gaussian distribution function.
GAUSSINT - Returns integral of Gaussian probability function.
T_CVF - Computes the cutoff value in a Student’s t distribution.
T_PDF - Computes Student’s t distribution.
Note: SPRSIN must be used to convert to sparse storage format before the other routines can be used.
FULSTR - Restores a sparse matrix to full storage mode.
LINBCG - Solves a set of sparse linear equations using the iterative biconjugate gradient method.
READ_SPR - Reads a row-indexed sparse matrix from a file.
SPRSAB - Performs matrix multiplication on sparse matrices.
SPRSAX - Multiplies sparse matrix by a vector.
SPRSIN - Converts matrix to row-index sparse matrix.
SPRSTP - Constructs the transpose of a sparse matrix.
WRITE_SPR - Writes row-indexed sparse array structure to a file.
BESELI - Returns the I Bessel function of order N for X.
BESELJ - Returns the J Bessel function of order N for X.
BESELK - Returns the K Bessel function of order N for X.
BESELY - Returns the Y Bessel function of order N for X.
BETA - Returns the value of the beta function.
ERF - Returns the value of an error function.
ERFC - Returns the value of a complementary error function.
ERFCX - Returns the value of a scaled complementary error function.
EXPINT - Returns the value of the exponential integral.
GAMMA - Returns the gamma function of X.
IBETA - Computes the incomplete beta function.
IGAMMA - Computes the incomplete gamma function.
LAGUERRE - Returns value of the associated Laguerre polynomial.
LEGENDRE - Returns value of the associated Legendre polynomial.
LNGAMMA - Returns logarithm of the gamma function of X.
POLY - Evaluates polynomial function of a variable.
SPHER_HARM - Returns value of the spherical harmonic function.
COMFIT - Fits paired data using one of six common filtering functions.
CURVEFIT - Fits multivariate data with a user-supplied function.
FUNCT - Evaluates the sum of a Gaussian and a 2nd-order polynomial and optionally returns the value of its partial derivatives.
LADFIT - Fits paired data using least absolute deviation method.
LINFIT - Fits by minimizing the Chi-square error statistic.
REGRESS - Multiple linear regression.
SVDFIT - Multivariate least squares fit using SVD method.
FACTORIAL - Computes the factorial N!.
HIST_2D - Returns histogram of two variables.
HISTOGRAM - Computes the density function of an array.
KURTOSIS - Computes statistical kurtosis of n-element vector.
MAX - Returns the value of the largest element of an array.
MEAN - Computes the mean of a numeric vector.
MEANABSDEV - Computes the mean absolute deviation of a vector.
MEDIAN - Returns the median value of Array or applies a median filter.
MIN - Returns the value of the smallest element of an array.
MOMENT - Computes mean, variance, skewness, and kurtosis.
RANDOMN - Returns normally-distributed pseudo-random numbers.
RANDOMU - Returns uniformly-distributed pseudo-random numbers.
RANKS - Computes magnitude-based ranks.
SKEWNESS - Computes statistical skewness of an n-element vector.
SORT - Returns the indices of an array sorted in ascending order.
STDDEV - Computes the standard deviation of an n-element vector.
TOTAL - Sums of the elements of an array.
VARIANCE - Computes the statistical variance of an n-element vector.
A_CORRELATE - Computes autocorrelation.
C_CORRELATE - Computes cross correlation.
SMOOTH - Smooths with a boxcar average.
TS_COEF - Computes the coefficients for autoregressive time-series.
TS_DIFF - Computes the forward differences of a time-series.
TS_FCAST - Computes future or past values of stationary time-series.
TS_SMOOTH - Computes moving averages of a time-series.
ACOS - Returns the arc-cosine of X.
ALOG - Returns the natural logarithm of X.
ALOG10 - Returns the logarithm to the base 10 of X.
ASIN - Returns the arc-sine of X.
ATAN - Returns the arc-tangent of X.
COS - Returns the cosine of X.
COSH - Returns the hyperbolic cosine of X.
EXP - Returns the natural exponential function of a given expression.
SIN - Returns the trigonometric sine of X.
SINH - Returns the hyperbolic sine of X.
TAN - Returns the tangent of X.
TANH - Returns the hyperbolic tangent of X.
BLK_CON - Convolves input signal with impulse-response sequence.
CHEBYSHEV - Returns the forward or reverse Chebyshev polynomial expansion.
CONVOL - Convolves two vectors or arrays.
FFT - Returns the Fast Fourier Transform of an array.
HILBERT - Constructs a Hilbert transform.
HOUGH - Returns the Hough transform of a two-dimensional image.
RADON - Returns the Radon transform of a two-dimensional image.
WTN - Returns wavelet transform of the input array.