COMPLEX - Convert to complex type.
CONJ - Compute the complex conjugate.
DCOMPLEX - Convert to double-precision complex type.
IMAGINARY - Compute the imaginary part of a complex value.
REAL_PART - Compute the real part of a complex value.
A_CORRELATE - Compute the autocorrelation.
C_CORRELATE - Compute the cross correlation.
CORRELATE - Compute the linear Pearson correlation.
M_CORRELATE - Compute the multiple correlation coefficient.
P_CORRELATE - Compute the partial correlation coefficient.
R_CORRELATE - Compute the rank correlation.
COMFIT - Fit paired data using a filtering function.
CRVLENGTH - Compute the length of a curve.
CURVEFIT - Fit multivariate data with a user-supplied function.
FUNCT - Evaluate the sum of a Gaussian and a 2nd-order polynomial.
GAUSS2DFIT - Fit a 2D elliptical Gaussian equation to rectilinearly-gridded data.
GAUSSFIT - Fit the sum of a Gaussian and a quadratic.
GRID_TPS - Use thin plate splines to interpolate a set of values over a regular 2D grid.
KRIG2D - Interpolate points to a grid using kriging.
LADFIT - Fit paired data using the least absolute deviation method.
LINFIT - Fit data to a linear model.
LMFIT - Do a non-linear least squares fit.
MIN_CURVE_SURF - Interpolate points with a minimum-curvature or thin-plate-spline surface.
POLY_FIT - Perform a least-squares polynomial fit.
REGRESS - Compute fit using multiple linear regression.
SFIT - Perform a polynomial fit to a surface.
SVDFIT - Multivariate least-squares fit using singular-value decomposition.
TRIGRID - Interpolates data to a regular grid from a triangulation.
CRVLENGTH - Compute the length of a curve.
DERIV - Perform differentiation using three-point Langrangian interpolation.
DERIVSIG - Compute the standard deviation of a derivative.
INT_2D - Compute the double integral of a bivariate function.
INT_3D - Compute the triple integral of a trivariate function.
INT_TABULATED - Integrate a tabulated set of data.
LSODE - Advance a solution to a system of ordinary differential equations one time-step.
QROMB - Evaluate an integral over a closed interval.
QROMO - Evaluate an integral over an open interval.
QSIMP - Evaluate an integral using Simpson’s rule.
RK4 - Solve differential equations using the fourth-order Runge-Kutta method.
EIGENQL - Compute eigenvalues and eigenvectors of a real, symmetric array.
EIGENVEC - Compute eigenvectors of a real, non-symmetric array.
ELMHES - Reduce a nonsymmetric array to upper Hessenberg form.
HQR - Return all eigenvalues of an upper Hessenberg array.
TRIQL - Determine eigenvalues and eigenvectors of a tridiagonal array.
TRIRED - Reduce a real, symmetric array to tridiagonal form.
BILINEAR - Construct an array using bilinear interpolation.
CONGRID - Shrink or expand an array by an arbitrary amount.
GRID_INPUT - Preprocess and sorts two-dimensional scattered data points, and removes duplicate values.
GRID_TPS - Use thin plate splines to interpolate a set of values over a regular 2D grid.
GRID3 - Create a 3D dataset from a set of scattered 3D nodes.
GRIDDATA - Interpolate scattered data values and locations sampled on a plane or a sphere to a regular grid.
INTERPOL - Perform linear interpolation on vectors.
INTERPOLATE - Perform linear, bilinear, or trilinear interpolation.
KRIG2D - Interpolate points to a grid using kriging.
MIN_CURVE_SURF - Interpolate points with a minimum-curvature or thin-plate-spline surface.
POLY - Interpolate a surface from polar coordinates to rectangular coordinates.
SPH_SCAT - Perform spherical gridding.
SPL_INIT - Establishe the type of interpolating spline.
SPL_INTERP - Perform cubic spline interpolation.
REBIN - Shrink or expand an array by integral multiples or factors of the original dimensions.
SPLINE - Perform cubic spline interpolation.
SPLINE_P - Perform parametric cubic spline interpolation.
TRI_SURF - Interpolate gridded set of points with a smooth quintic surface.
TRIANGULATE - Construct the Delaunay triangulation of a planar set of points.
TRIGRID - Interpolate data to a regular grid from a triangulation.
VALUE_LOCATE - Find the intervals within a vector that bracket a set of search values.
VORONOI - Compute the Voronoi polygon given the Delaunay triangulation.
CTI_TEST - Perform the chi-square goodness-of-fit test.
FV_TEST - Perform the F-variance test.
KW_TEST - Perform the Kruskal-Wallis H-test.
LNP_TEST - Compute the Lomb Normalized Periodogram.
MD_TEST - Perform the Median Delta test.
R_TEST - Run tests for randomness.
RS_TEST - Perform the Wilcoxon Rank-Sum test.
S_TEST - Perform the Sign test.
TM_TEST - Perform t-means test.
XSQ_TEST - Compute the Chi-square goodness-of-fit test.
LA_CHOLDC - Compute the Cholesky factorization of an n-by-n symmetric positive-definite array.
LA_CHOLMPROVE - Use 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 - Use LU decomposition to compute the determinant of a square array.
LA_EIGENPROBLEM - Use the QR algorithm to compute eigenvalues and eigenvectors.
LA_EIGENQL - Compute selected eigenvalues and eigenvectors.
LA_EIGENVEC - Use the QR algorithm to compute all or some eigenvectors.
LA_ELMHES - Reduce 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 - Use the multishift QR algorithm to compute eigenvalues.
LA_INVERT - Use 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 - Use LU decomposition to sole a system of linear equations.
LA_LUDC - Compute the LU decomposition of an array.
LA_LUMPROVE - Use 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 - Compute the singular value decomposition of an array.
LA_TRIDC - Compute the LU decomposition of a tridiagonal array.
LA_TRIMPROVE - Improve the solution to a system of linear equations with a tridiagonal array.
LA_TRIQL - Use the QL and QR variants of the implicitly-shifted QR algorithm to compute eigenvalues and eigenvectors.
LA_TRIRED - Reduce 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 - Construct the Cholesky decomposition of a matrix.
CHOLSOL - Solve a set of linear equations (use with CHOLDC).
COND - Compute the condition number of a square matrix.
CRAMER - Solve a system of linear equations using Cramer’s rule.
CROSSP - Compute vector cross product.
DETERM - Compute the determinant of a square matrix.
GS_ITER - Solve a linear system using Gauss-Seidel iteration.
IDENTITY - Return an identity array.
INVERT - Compute the inverse of a square array.
LINBCG - Solve a set of sparse linear equations using the iterative biconjugate gradient method.
LU_COMPLEX - Solve complex linear system using LU decomposition.
LUDC - Replace an array with the LU decomposition.
LUMPROVE - Use LU decomposition to iteratively improve an approximate solution.
LUSOL - Solve a set of linear equations. Use with LUDC.
NORM - Compute Euclidean norm of vector or Infinity norm of array.
SVDC - Compute Singular Value Decomposition of an array.
SVSOL - Solve a set of linear equations using back-substitution.
TRACE - Compute the trace of an array.
TRISOL - Solve a tridiagonal systems of linear equations.
CHECK_MATH - Return and clear accumulated math errors.
FINITE - Determine if a value is finite.
MACHAR - Return machine-specific parameters for floating-point arithmetic.
ABS - Compute the absolute value.
CEIL - Compute the closest integer greater than or equal to X.
CIR_3PNT - Compute the radius and center of a circle, given 3 points.
COMPLEXROUND - Round a complex array.
DIAG_MATRIX - Construct a diagonal matrix from an input vector, or if given a matrix, then extracts a diagonal vector.
DIST - Create an array with each element proportional to its frequency.
EXP - Compute the natural exponential function of given expression.
FLOOR - Compute the closest integer less than or equal to argument.
IDLUNIT - Perform unit conversions and dimensional analysis.
IMAGINARY - Compute the imaginary part of a complex value.
ISHFT - Perform integer bit shift.
LEEFILT - Perform the Lee filter algorithm on an image array.
MATRIX_MULTIPLY - Calculate the matrix-multiply operator (#) of two (possibly transposed) arrays.
MATRIX_POWER - Compute the product of a matrix with itself.
PNT_LINE - Compute the perpendicular distance between a point and a line.
POLY_AREA - Compute the area of a polygon given the coordinates of its vertices.
PRIMES - Compute prime numbers.
PRODUCT - Compute the product of elements within an array.
ROUND - Compute the integer closest to its argument.
SIGNUM - Compute the sign (-1, 0, +1).
SPH_4PNT - Return center and radius of a sphere given 4 points.
SQRT - Compute the square root.
TOTAL - Sum of the elements of an array.
VOIGT - Calculate the intensity of atomic absorption line profiles.
CLUST_WTS - Compute cluster weights of an array for cluster analysis.
CLUSTER - Perform cluster analysis.
CLUSTER_TREE - Compute the hierarchical clustering for a set of m items in an n-dimensional space.
CTI_TEST - Perform the chi-square goodness-of-fit test.
DENDRO_PLOT - Draw a two-dimensional dendrite plot on the Direct Graphics device.
DENDROGRAM - Construct a dendrogram and returns a set of vertices and connectivity.
DISTANCE_MEASURE - Compute the pairwise distance between a set of items or observations.
KW_TEST - Perform the Kruskal-Wallis H-test.
M_CORRELATE - Compute the multiple correlation coefficient.
P_CORRELATE - Compute the partial correlation coefficient.
PCOMP - Compute the principal components and derived variables.
STANDARDIZE - Compute standardized variables.
BROYDEN - Solve nonlinear equations using Broyden’s method.
FX_ROOT - Compute real and complex roots of a univariate nonlinear function using an optimal Müller’s method.
FZ_ROOTS - Find the roots of a complex polynomial using Laguerre’s method.
NEWTON - Solve nonlinear equations using Newton’s method.
AMOEBA - Minimize a function using downhill simplex method.
CONSTRAINED_MIN - Minimize a function using Generalized Reduced Gradient Method.
DFPMIN - Minimize a function using Davidon-Fletcher-Powell method.
POWELL - Minimize a function using the Powell method.
SIMPLEX - Use the simplex method to solve linear programming problems.
BINOMIAL - Compute the binomial distribution function.
CHISQR_CVF - Compute the cutoff value in a Chi-square distribution.
CHISQR_PDF - Compute the Chi-square distribution function.
F_CVF - Compute the cutoff value in an F distribution.
F_PDF - Compute the F distribution function.
GAUSS_CVF - Compute the cutoff value in Gaussian distribution.
GAUSS_PDF - Compute the Gaussian distribution function.
GAUSSINT - Compute the integral of the Gaussian probability function.
T_CVF - Compute the cutoff value in a Student’s t distribution.
T_PDF - Compute Student's t distribution.
Note: SPRSIN must be used to convert to sparse storage format before the other routines can be used.
FULSTR - Restore a sparse matrix to full storage mode.
LINBCG - Solve a set of sparse linear equations using the iterative biconjugate gradient method.
READ_SPR - Read a row-indexed sparse matrix from a file.
SPRSAB - Perform matrix multiplication on sparse matrices.
SPRSAX - Multiply a sparse matrix by a vector.
SPRSIN - Convert a matrix to row-index sparse matrix.
SPRSTP - Construct the transpose of a sparse matrix.
WRITE_SPR - Write a row-indexed sparse array structure to a file.
BESELI - Compute the I Bessel function of order N.
BESELJ - Compute the J Bessel function of order N.
BESELK - Compute the K Bessel function of order N.
BESELY - Compute the Y Bessel function of order N.
BETA - Compute the beta function.
ERF - Compute the error function.
ERFC - Compute the complementary error function.
ERFCX - Compute the scaled complementary error function.
EXPINT - Compute the exponential integral.
GAMMA - Compute the gamma function.
IBETA - Compute the incomplete beta function.
IGAMMA - Compute the incomplete gamma function.
LAGUERRE - Compute the associated Laguerre polynomial.
LAMBERTW - Compute the Lambert W function.
LEGENDRE - Compute the associated Legendre polynomial.
LNGAMMA - Compute the logarithm of the gamma function.
POLY - Evaluate the polynomial function of a variable.
SPHER_HARM - Compute the spherical harmonic function.
FACTORIAL - Compute the factorial function.
HIST_2D - Compute the histogram of two variables.
HISTOGRAM - Compute the density function of an array.
KURTOSIS - Compute the statistical kurtosis.
MAX - Returns the largest value (and optionally its position) of an array.
MEAN - Compute the mean.
MEANABSDEV - Compute the mean absolute deviation.
MEDIAN - Returns the median value of an array or applies a median filter.
MIN - Returns the smallest value (and optionally its position) of an array.
MOMENT - Compute mean, variance, skewness, and kurtosis.
RANDOMN - Return normally-distributed pseudo-random numbers.
RANDOMU - Return pseudo-random numbers in one of several different distributions.
RANKS - Compute magnitude-based ranks.
SKEWNESS - Compute the statistical skewness of an n-element vector.
STDDEV - Compute the standard deviation.
TOTAL - Sums of the elements of an array.
VARIANCE - Compute the statistical variance.
A_CORRELATE - Compute autocorrelation.
C_CORRELATE - Compute cross correlation.
SMOOTH - Smooth with a boxcar average.
TS_COEF - Compute the coefficients for autoregressive time-series.
TS_DIFF - Compute the forward differences of a time-series.
TS_FCAST - Compute future or past values of stationary time-series.
TS_SMOOTH - Compute moving averages of a time-series.
ACOS - Compute the arc-cosine.
ALOG - Compute the natural logarithm.
ALOG2 - Compute the logarithm to the base 2.
ALOG10 - Compute the logarithm to the base 10.
ASIN - Compute the arc-sine.
ATAN - Compute the arc-tangent.
COS - Compute the cosine.
COSH - Compute the hyperbolic cosine.
EXP - Compute the natural exponential function of a given expression.
SIN - Compute the trigonometric sine.
SINH - Compute the hyperbolic sine.
TAN - Compute the tangent.
TANH - Compute the hyperbolic tangent.
BLK_CON - Convolve input signal with impulse-response sequence.
CHEBYSHEV - Compute the forward or reverse Chebyshev polynomial expansion.
CONVOL - Convolve two vectors or arrays.
FFT - Compute the Fast Fourier Transform of an array.
HILBERT - Construct the Hilbert transform.
HOUGH - Compute the Hough transform of a two-dimensional image.
RADON - Compute the Radon transform of a two-dimensional image.
WTN - Compute the wavelet transform.
WV_CWT - Compute the continuous wavelet transform.
WV_DWT - Compute the discrete wavelet transform.
WV_PWT - Compute the partial wavelet transform.