General applied math
abs | Returns the absolute value of numeric data. |
acos | Computes the inverse cosine of numeric types. |
asin | Computes the inverse sine of numeric types. |
atan | Computes the inverse tangent of numeric types. |
atan2 | Computes the inverse tangent of (y/x) for numeric types. |
avg | Computes the average of a variable regardless of dimensionality. |
betainc | Evaluates the incomplete beta function. |
bw_bandpass_filter | Applies a Butterworth bandpass filter optimized for narrow bandwidths to time series. |
calculate_daily_values | Calculate daily values [avg, sum, min, max] from high frequency temporal values. |
calculate_monthly_values | Calculate monthly values [avg, sum, min, max] from high frequency temporal values. |
calculate_segment_values | Calculate segment (eg, pentad [5-day], weekly [7-day]) values from high frequency temporal values. |
cancor | Performs canonical correlation analysis between two sets of variables. |
cdft_p | Calculates the one-sided probability given a t-value and the degrees of freedom. |
cdft_t | Calculates the t-value given the one-sided probability and the degrees of freedom. |
ceemdan | Complete Ensemble Empirical Mode Decomposition with Adaptive Noise. |
ceil | Returns the smallest integral value greater than or equal to each input value. |
center_finite_diff | Performs a centered finite difference operation on the rightmost dimension. |
center_finite_diff_n | Performs a centered finite difference operation on the given dimension. |
cfftb | Performs a backward complex discrete fourier transform [Fourier Synthesis]. |
cfftf | Performs a forward complex discrete fourier transform of a real periodic sequence. |
cfftf_frq_reorder | Reorders the data returned by cfftf. |
chiinv | Evaluates the inverse chi-squared distribution function. |
cohsq_c2p | Given coherence-squared and the effective degrees-of-freedom, calculate the associated probability. |
cohsq_p2c | Calculate the value(s) of coherence-squared required for a specified significance level and effectiove degrees-of-freedom. |
cos | Computes the cosine of numeric types. |
cosh | Computes the hyperbolic cosine of numeric types. |
covcorm | Calculates a covariance or correlation matrix. |
covcorm_xy | Calculates a covariance or correlation matrix given two separate 'n x m' arrays. |
cumsum | Calculates the cumulative sum. |
decimalPlaces | Truncates or rounds to the number of decimal places specified. |
demod_cmplx | Perform a complex demodulation on one or more time series. |
determinant | Calculates the determinant of a square real matrix. |
dim_acumrun_n | Calculates individual accumulated sums of sequences ('runs') of a specified length. |
dim_avg | Computes the average of a variable's rightmost dimension at all other dimensions. |
dim_avg_n | Computes the average of a variable's given dimension(s) at all other dimensions. |
dim_avg_n_Wrap | Computes the average of a variable's given dimensions at all other dimensions and retains metadata. |
dim_avg_wgt | Computes the weighted average of a variable's rightmost dimension at all other dimensions. |
dim_avg_wgt_n | Computes the weighted average of a variable's given dimension at all other dimensions. |
dim_avg_wgt_n_Wrap | Computes the weighted average of a variable's given dimension at all other dimensions and retains metadata. |
dim_avg_wgt_Wrap | Computes the weighted average of a variable's rightmost dimension at all other dimensions and retains metadata. |
dim_avg_Wrap | Computes the average of a variable's rightmost dimension at all other dimensions and retains metadata. |
dim_cumsum | Calculates the cumulative sum along the rightmost dimension. |
dim_cumsum_n | Calculates the cumulative sum along the given dimension(s). |
dim_cumsum_n_Wrap | Calculates the cumulative sum along the given dimension(s) and retains metadata. |
dim_cumsum_Wrap | Calculates the cumulative sum along the rightmost dimension and retains metadata. |
dim_max | Finds the maximum of a variable's rightmost dimension at all other dimensions. |
dim_max_n | Finds the maximum of a variable's given dimensions at all other dimensions. |
dim_max_n_Wrap | Computes the maximum of a variable's given dimensions at all other dimensions and retains metadata. |
dim_median | Computes the median of a variable's rightmost dimension at all other dimensions. |
dim_median_n | Computes the median of a variable's given dimensions at all other dimensions. |
dim_min | Finds the minimum of a variable's rightmost dimension at all other dimensions. |
dim_min_n | Finds the minimum of a variable's given dimensions at all other dimensions. |
dim_min_n_Wrap | Computes the minimum of a variable's given dimensions at all other dimensions and retains metadata. |
dim_num | Calculates the number of True values of a variable's rightmost dimension at all other dimensions. |
dim_num_n | Calculates the number of True values of a variable's given dimensions at all other dimensions. |
dim_numrun_n | Counts the number of "runs" (sequences) within a series containing zeros and ones. |
dim_pqsort | Computes the permutation vector generated by sorting the n - 1th (rightmost) dimension. |
dim_pqsort_n | Computes the permutation vector generated by sorting the given dimension. |
dim_product | Computes the product of a variable's rightmost dimension at all other dimensions. |
dim_product_n | Computes the product of a variable's given dimension(s) at all other dimensions. |
dim_rmsd | Computes the root-mean-square-difference between two variables' rightmost dimension at all other dimensions. |
dim_rmsd_n | Computes the root-mean-square-difference between two variables' given dimensions at all other dimensions. |
dim_rmsd_n_Wrap | Computes the root-mean-square-difference between two variables' given dimensions at all other dimensions. |
dim_rmsd_Wrap | Computes the root-mean-square-difference between two variables' rightmost dimension at all other dimensions. |
dim_rmvmean | Calculates and removes the mean of the (rightmost) dimension at all other dimensions. |
dim_rmvmean_n | Calculates and removes the mean of the given dimension(s) at all other dimensions. |
dim_rmvmean_n_Wrap | Calculates and removes the mean of the given dimensions at all other dimensions and retains metadata. |
dim_rmvmean_Wrap | Calculates and removes the mean of the (rightmost) dimension at all other dimensions and retains metadata. |
dim_rmvmed | Calculates and removes the median of the (rightmost) dimension at all other dimensions. |
dim_rmvmed_n | Calculates and removes the median of the given dimension(s) at all other dimensions. |
dim_rmvmed_n_Wrap | Calculates and removes the median of the given dimensions at all other dimensions and retains metadata. |
dim_rmvmed_Wrap | Calculates and removes the median of the (rightmost) dimension at all other dimensions and retains metadata. |
dim_standardize | Calculates standardized anomalies of the rightmost dimension at all other dimensions. |
dim_standardize_n | Calculates standardized anomalies of the given dimension(s) at all other dimensions. |
dim_standardize_n_Wrap | Calculates standardized anomalies of the given dimensions at all other dimensions and retains metadata. |
dim_standardize_Wrap | Calculates standardized anomalies of the rightmost dimension at all other dimensions and retains metadata. |
dim_stat4 | Computes the first four moments (average, sample variance, skewness, and kurtosis) of the rightmost dimension for all other dimensions. |
dim_stat4_n | Computes the first four moments (average, sample variance, skewness, and kurtosis) of the given dimension(s) for all other dimensions. |
dim_stddev | Computes the sample standard deviation of a variable's rightmost dimension at all other dimensions. |
dim_stddev_n | Computes the sample standard deviation of a variable's given dimension(s) at all other dimensions. |
dim_stddev_n_Wrap | Computes the sample standard deviation of a variable's given dimension(s) at all other dimensions and retains metadata. |
dim_stddev_Wrap | Computes the sample standard deviation of a variable's rightmost dimension at all other dimensions and retains metadata. |
dim_sum | Computes the arithmetic sum of a variable's rightmost dimension at all other dimensions. |
dim_sum_n | Computes the arithmetic sum of a variable's given dimension(s) at all other dimensions. |
dim_sum_n_Wrap | Computes the arithmetic sum of a variable's given dimensions at all other dimensions and retains metadata. |
dim_sum_wgt | Computes the weighted sum of a variable's rightmost dimension at all other dimensions. |
dim_sum_wgt_n | Computes the weighted sum of a variable's given dimension at all other dimensions. |
dim_sum_wgt_n_Wrap | Computes the weighted sum of a variable's given dimension at all other dimensions and retains metadata. |
dim_sum_wgt_Wrap | Computes the weighted sum of a variable's rightmost dimension at all other dimensions and retains metadata. |
dim_sum_Wrap | Computes the arithmetic sum of a variable's rightmost dimension at all other dimensions and retains metadata. |
dim_variance | Computes the unbiased estimates of the variance of a variable's rightmost dimension. |
dim_variance_n | Computes the unbiased estimates of the variance of a variable's given dimension(s) at all other dimensions. |
dim_variance_n_Wrap | Computes unbiased estimates of the variance of a variable's given dimension(s) at all other dimensions and retains metadata. |
dim_variance_Wrap | Computes unbiased estimates of the variance of a variable's rightmost dimension at all other dimensions and retains metadata. |
dtrend | Estimates and removes the least squares linear trend of the rightmost dimension from all grid points. |
dtrend_leftdim | Estimates and removes the least squares linear trend of the leftmost dimension from all grid points and retains metadata. |
dtrend_msg | Estimates and removes the least squares linear trend of the rightmost dimension from all grid points (missing values allowed). |
dtrend_msg_n | Estimates and removes the least squares linear trend of the dim-th dimension from all grid points (missing values allowed). |
dtrend_n | Estimates and removes the least squares linear trend of the given dimension from all grid points. |
dtrend_quadratic | Estimates and removes the least squares quadratic trend of the rightmost dimension from all grid points. |
dtrend_quadratic_msg_n | Estimates and removes the least squares quadratic trend of the dim-th dimension from all grid points (missing values allowed). |
eemd | Perform ensemble empirical mode decomposition (EEMD). |
equiv_sample_size | Estimates the number of independent values of a series of correlated observations. |
erf | Evaluates the real error function. |
erfc | Evaluates the real complementary error function. |
esacr | Computes sample auto-correlations. |
esacv | Computes sample auto-covariances |
esccr | Computes sample cross-correlations. |
esccv | Computes sample cross-covariances. |
escorc | Computes the (Pearson) sample linear cross-correlations at lag 0 only. |
escorc_n | Computes the (Pearson) sample linear cross-correlations at lag 0 only, across the specified dimensions. |
escovc | Computes sample cross-covariances at lag 0 only. |
exp | Computes the value of e (the base of natural logarithms) raised to the power of the input. |
exponential_curve_fit | Calculates the coefficients for a simple exponential curve fit of the form ' y = A*exp(B*x)' using least squares. |
ezfftb | Perform a Fourier synthesis from real and imaginary coefficients. |
ezfftb_n | Perform a Fourier synthesis from real and imaginary coefficients on the given dimension. |
ezfftf | Perform a Fourier analysis on a real periodic sequence. |
ezfftf_n | Performs a Fourier analysis on a real periodic sequence on the given dimension. |
fabs | Computes the absolute value of numeric types. |
fft2db | Performs a two-dimensional discrete backward Fourier transform (Fourier synthesis). |
fft2df | Performs a two-dimensional forward real discrete Fourier transform (i.e., Fourier analysis) of a real periodic array. |
fftshift | Rearranges an array in a manner similar to Matlab's fftshift function. |
filwgts_lancos | Calculates one-dimensional filter weights (deprecated). |
filwgts_lanczos | Calculates one-dimensional filter weights. |
filwgts_normal | Calculates one-dimensional filter weights based upon the normal (gaussian) distribution. |
floor | Returns the largest integral value less than or equal to each input value. |
fourier_info | Performs Fourier analysis on one or more periodic series. |
ftest | Applies F-test for variances and returns an estimate of the statistical significance. |
gamma | Evaluates the complete gamma function. |
gammainc | Evaluates the incomplete gamma function. |
genNormalDist | Generates a normal distribution. |
get_d2r | Return a constant that converts degrees to radians. |
get_pi | Return pi as a type float or double. |
get_r2d | Return a constant that converts radians to degrees. |
inverse_matrix | Computes the inverse of a general matrix using LU factorization. |
kde | Uses gaussian kernel density estimation (KDE) to estimate the probability density function of a random variable. This function is under construction and is available for testing only. It may not be released with NCL V6.5.0. |
kf_filter | Extract equatorial waves by filtering in the Wheeler-Kiladis wavenumber-frequency domain. |
kmeans_as136 | Performs k-means clustering via the Hartigan and Wong AS-136 algorithm. |
kolsm2_n | Uses the Kolmogorov-Smirnov two-sample test to determine if two samples are from the same distribution. |
kron_product | Computes the Kronecker product for two-dimensional matrices. |
linrood_latwgt | Computes the latitudes and weights used by the Lin-Rood Model. |
linrood_wgt | Computes the weights used by the Lin-Rood Model. |
local_max | Determines the relative maxima for a 2-dimensional array. |
local_min | Determines the relative minima for a 2-dimensional array. |
log | Computes the natural log of a numeric type. |
log10 | Computes the log base 10 of a numeric type. |
lspoly | Calculates a set of coefficients for a weighted least squares polynomial fit to the given data. |
lspoly_n | Calculates a set of coefficients for a weighted least squares polynomial fit to the given data on the given dimension. |
max | Computes the maximum value of a multi-dimensional array. |
min | Computes the minimum value of a multi-dimensional array. |
mod | Remainder function which emulates the Fortran "mod" intrinsic function. |
NewCosWeight | Performs cosine of the latitude weighting on the given array. |
pattern_cor | Compute centered or uncentered pattern correlation. |
pdfx | Generates a univariate probability density distribution (PDF). |
pdfxy | Generates a joint probability density distribution. (Please use pdfxy_conform.) |
pdfxy_bin | Performs looping necessary to calculate the bivariate (joint) probability distribution (see pdfxy). |
pdfxy_conform | An interface to pdfxy that allows the input arrays to be different sizes. |
product | Computes the product of the input. |
qsort | Sorts a singly dimensioned array. |
quadroots | Determine roots of a quadratic equation [ a*x^2 + b*x + c]. |
reg_multlin | Performs basic multiple linear regression analysis. |
reg_multlin_stats | Performs multiple linear regression analysis including confidence estimates and creates an ANOVA table. |
regcoef | Calculates the linear regression coefficient between two variables. |
regCoef | Calculates the linear regression coefficient between two variables. |
regCoef_n | Calculates the linear regression coefficient between two variables on the given dimensions. |
regline | Calculates the linear regression coefficient between two series. |
regline_stats | Performs simple linear regression including confidence estimates, an ANOVA table and 95% mean response estimates. |
regline_weight | Calculates the linear regression coefficient between two series where the dependent (y) variable's values are weighted by some measure of uncertainty (typically, standard deviations) such that the Chi-square goodness-of-fit is minimized. |
rmInsufData | Sets all instances (i.e., time) of a grid point to missing if a user-prescribed percentage of points is missing. |
round | Rounds a float or double variable to the nearest whole number. |
run_cor | Calculates a running correlation. |
runave | Calculates an unweighted running average on the rightmost dimension. |
runave_n | Calculates an unweighted running average on the given dimension. |
runave_n_Wrap | Calculates an unweighted running average on the given dimension and retains metadata. |
runave_Wrap | Calculates an unweighted running average on the rightmost dimension and retains metadata. |
sign_f90 | Mimic the behavior of Fortran-90's sign transfer function. |
sign_matlab | Mimic the behavior of Matlab's sign function. |
simpeq | Integrate a sequence of equally spaced points using Simpson's Rule. |
simpne | Integrates a sequence of unequally or equally spaced points using Simpson's three-point formula. |
sin | Computes the sine of numeric types. |
sindex_yrmo | Calculates the Southern Oscillation Index given two series of year-month values. |
sinh | Computes the hyperbolic sine of numeric types. |
smth9 | Performs nine point local smoothing on one or more 2D grids. |
smth9_Wrap | Performs nine point local smoothing on one or more 2D grids and retains metadata. |
snindex_yrmo | Calculates the Southern Oscillation Index and the noise index given two series of year-month values. |
solve_linsys | Computes the solution to a real system of linear equations. |
sparse_matrix_mult | Multiplies a sparse matrix with a dense matrix. |
spcorr | Computes Spearman rank order correlation (Rho) correlation coefficient. |
spcorr_n | Computes Spearman rank order correlation (Rho) correlation coefficient across the given dimension. |
specx_anal | Calculates spectra of a series. |
specx_ci | Calculates the theoretical Markov spectrum and the lower and upper confidence curves. |
specxy_anal | Calculates cross spectra quantities of a series. |
sqrt | Computes the square root of its input. |
SqrtCosWeight | Performs square-root of the cosine of the latitude weighting on the given array. |
sqsort | Sorts a singly dimensioned arrays of strings. |
stat2 | Calculates the first two moments of the given input. |
stat4 | Calculates estimates of the first four moments (mean, variance, skewness, and kurtosis) of the given input. |
stat_dispersion | Computes a number of robust statistics. |
stat_medrng | Calculates median, range, and mid-range of the given input. |
stat_trim | Calculates trimmed estimates of the first two moments of the given input. |
stddev | Calculates the sample standard deviation. |
student_t | Calculates the two-tailed probability of the Student-t distribution. |
sum | Sums the input. |
tan | Computes the tangent of numeric types. |
tanh | Computes the hyperbolic tangent of numeric types. |
taper | Applies split-cosine-bell tapering to one or more series across the rightmost dimension. |
taper_n | Applies split-cosine-bell tapering to one or more series across the given dimension. |
taylor_stats | Calculates statistics needed for the Taylor Diagram: pattern_correlation, ratio and bias. |
trend_manken | Calculates Mann-Kendall non-parametric test for monotonic trend and the Theil-Sen robust estimate of linear trend. |
ttest | Returns an estimate of the statistical significance and, optionally, the t-values. |
variance | Computes an unbiased estimate the variance of all input points. |
wave_number_spc | Computes the total power spectrum as a function of latitudinal wave number. |
wavelet | Calculates the wavelet transform of a time series and significance levels. |
wavelet_default | Calculates the wavelet transform of a time series and significance levels. |
weibull | Derives the shape and scale parameters for the Weibull distribution via maximum likelihood estimates. |
wgt_area_smooth | Smooths an array of data using a 5-point 2D area-weighted smoothing algorithm. |
wgt_areaave | Calculates the area average of a quantity using weights. |
wgt_areaave2 | Calculates the area average of a quantity using two-dimensional weights. |
wgt_areaave_Wrap | Calculates the area average of a quantity using weights and retains metadata. |
wgt_arearmse | Calculates a weighted area root-mean-square-difference between two variables. |
wgt_arearmse2 | Calculates a weighted area root-mean-square-difference (rmse) between two variables using two-dimensional weights. |
wgt_areasum2 | Calculates the area sum (total) of a quantity using two-dimensional weights. |
wgt_runave | Calculates a weighted running average across the rightmost dimension. |
wgt_runave_leftdim | Calculate a weighted running average over the leftmost dimension (usually, "time") and return in the original order with metadata. |
wgt_runave_n | Calculates a weighted running average across the given dimension. |
wgt_runave_n_Wrap | Calculates a weighted running average on the given dimension and retains metadata. |
wgt_runave_Wrap | Calculates a weighted running average on the rightmost dimension and retains metadata. |
wgt_volave | Calculates the volume average of a quantity using weights. |
wgt_volave_ccm | Calculates the volume average of a quantity from the CCM using weights. |
wgt_volrmse | Calculates a weighted volume root-mean-square-difference between two variables. |
wgt_volrmse_ccm | Calculates a weighted volume root-mean-square-difference between two variables from the CCM. |
wk_smooth121 | Performs a specialized 1-2-1 filter for Wheeler-Kiladis plots. |
zonalAve | Computes a zonal average of the input array. |