extrema Visualize and analyze data with this tool.
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extrema Description

Extrema is a handy and powerful visualization and data analysis application designed to enables researchers to distill their large, complex data sets into meaningful information fast and easy. The program's flexibility, sophistication, and power allow you to easily develop your own commands and create highly customized graphs. Main features: Ease of Use A rich graphical user interface lets you quickly tackle one-off problems. For more elaborate tasks, the intuitive command language makes script writing easy. For example, to graph two data vectors x and y against each other, just type "graph x y". Automatic script-writing mode will create a script based on your GUI point-and-click actions. Write scripts without typing a single command! Data manipulation is easy with Extrema's automatic expression evaluation. For instance, if you have 10,000 (x,y) data coordinates stored in vectors x and y, you can instantly compute each of their distances from the origin with "d = sqrt(x^2 + y^2)". Simple, easy-to-understand programming constructs allow you to write code with little or no programming experience. The GUI gives you ALL the power of the low-level language, and vice versa. 3-D Graphing Contour plots: colour, legend, area/volume tabulations, control over contour label size, colour, separation, etc. Density plots: derivatives, random point type, box type, colour filled regions, dithering patterns with automatic or user defined patterns, diffusion type, profiles, legend, area/volume tabulations, etc. 2-D Graphing Customized 2-D line graphs, scatter plots, horizontal or vertical bar charts, each with a large variety of type styles and fonts of any size and color Customized or automatic legends Multiple axes with arbitrary axis positioning Fill the area between data curves or fill individual histogram bars Logarithmic axes, to any base, including e Axis scaling can be automatic or user set (including commensurate axes) Labels can optionally follow the curves on rescaling a graph Many plotting symbols, with control over size, colour and angle Complete control over axis appearance (short/long tic mark length and angle, separation between tic marks and axis labels, axis angle, length and location, axis labels size, colour, font, number of digits, etc.) Data Reduction & Analysis Differentiate/Integrate an arbitrary expression Interpolate 1-D or 2-D data using various methods (linear, Lagrange, weighted splines under tension, Fritsch-Carlson, etc.) Smooth data using various methods (weighted splines under tension, Savitzky-Golay filters, etc.) Convolution and deconvolution of data Integral transforms of arbitrary expressions Fast Fourier Transforms and Inverse FFT's Reorganize data (sort, step, roll, wrap, etc.) Weighted (re-)binning of 1-D or 2-D data into automatic or user defined bins (specified by centres or edges) Find multiple real roots of an expression Recursive and non-recursive digital filters Manual or automatic determination of data extrema using graphics cursor Fit data with an arbitrary, non-linear, expression involving up to 25 variable parameters Ellipse fitting Calculation of parameters for least-squares fit using adjustable parameters User defined and named variables (scalars, vectors, matrices, strings, arrays of strings) Full indexing on variables and expressions Literal vectors may be specified as a list or a range Boolean operators (, &, etc.) Array operators (inner/outer product, matrix transpose, etc.) Over 200 built-in functions including: scalar type (Bessel, Clebsch-Gordan, etc.); array type (sum, product, loop, where, etc.); string type (case, date/time, etc.) Mathematical/character expressions may appear in any suitable command parameter Use character variables to substitute for complicated expression substrings Data Input/Output Display the history of variables Read data from binary or ASCII files by formats or space/tab/comma separated columns Output data to binary or ASCII files by formats or in columns Dynamic allocation of arrays Digitize data from a displayed plot Extrema's Built-In Language Scripting capability with up to 20 nesting levels and with parameter passing Script library of `super' commands Nested looping, branching and conditional statements in scripts Display messages, prompt for user input from within a script Return to interactive mode from within a script, and later resume script execution Create a script interactively General Graphics Utilities Unlimited text capabilities for titles, labels, and annotations Multiple windows within the graphing area Any number of charts of any mixed type on a single picture High quality graphics display Interactive entry of lines, arcs, geometric figures, and text Other Features Comprehensive on-line documentation: instant help for any command, or interactive browsing through help library Keyword searching Save/Restore an entire Extrema session, including graphics Keep a journal file of all command input and message output Dynamic input line recall buffers allow recall/edit of commands using the arrow keys

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