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While one can view data display as separate from data processing, there is great programming power in having a set of simple display, and display-interaction, methods operating on basic data objects. These ancillary methods are very important in allowing flexible prototyping of higher level display, editing, etc., methods.
Mathematical data processing is inseparable from interaction with, and display of, original, intermediate, and resulting data objects. Methods for displaying basic data objects like mvector, mmatrix, marray, and grid, and some capability to identify and locate the names or locations of data points in displays allows the programmer to provide powerful means for intervening in the data processing process. In Table 7 we list some of the useful, generic or special, methods. There is a wide range of parameters controlling the displays and interactions that we will mostly not discuss in detail in this document. Some deal with parameters of each method, and some deal with general parameters of displays that control size, windowing, labeling, tic marks, axis label values, etc.
Table 7
Methods for Displaying and Interacting With Basic Data Objects
Input
Name Object(s) Role
plot V Make x-y plot of vector elements vs its indices
plot V1,V2 Make x-y plot of V2 vs V1
plot M Make x-y plot of matrix values in an x-y grid
determined by matrix indices
plot M,V1,V2 Make x-y plot of matrix values in an x-y grid
determined by supplied ``coordinate'' vectors
hist V[,V] Plot a histogram for a vector as a function of
is index or an a ``coordinate'' vector
picture M Make monochrome or color display of matrix
in an x-y grid determined by matrix indices
picture M,V2,V2 Make monochrome or color display of matrix
in an x-y grid determined by supplied
``coordinate'' vectors
legend Add ``legend'' to picture display indicated
mapping of gray scale or color into pixel values
contour M Make contour display of matrix in an x-y grid
determined by matrix indices
contour M,V2,V2 Make contour display of matrix in an x-y grid
determined by supplied ``coordinate'' vectors
perspec M Make perspective or ruled surface display of
matrix in an x-y grid determined by matrix indices,
with or without hidden line removal, with
specified or default view angle parameters
perspec M,V2,V2 Make perspective or ruled surface display of
matrix in an x-y grid determined by supplied
``coordinate'' vectors
locate For a specified plot or picture in a display
window, starts a mouse and mouse-button driven
procedure for clicking cursor (on/near) a data
point allowing return of ``matrix'' value and
x-y coordinates which are highlighted and added
row by row to a matrix of identified value-x-y
vectors; using one button for locating, and
another button for removing a previously
located data vector; requires display boxes
in border area that one can click on to change
size of locator box, exit from the locate method,
or change other obvious parameters of the process
identify Similar to locate, however one gets either or
both row and column names from the matrix displayed
next to the select data point
specdisp M[,V] monochrome or color displays of rows and/or columns
of vector/matrix data values as a function of row/column
indices; with locate and identify methods invocable
once the bands are displayed
(allows TVFLAG-like display and interaction with
basic data objects)
specdisp M[,V],V1 Same as above but supplied coordinate vector is
used for the independent variable in a band-like
display with monochrome or color coded data values
as a function of an independent variable which is
an index or a ``coordinate'' vector
rotate A Initiate an interactive 3-d display of 3-D array values
as points in a 3-D space with respect to displayed
and labeled (from array axis names) axes in
array index form, with pressing a mouse button
on boxes labeled right, left, circle, up, down,
causing the displayed data points and axes to
change their 3-D viewing angle
rotate V1,V2,V3 same as above but x,y,z vectors are supplied
rotfind A adds to a rotate method capabilities to locate and
identify data values as discussed above for the
locate and identify methods
rotfind V1,V2,V3 same as above but x,y,z vectors are supplied
reshow C redisplay previously saved display object on disk
movie C display movie sequence of previously saved
display objects stored on disk
panel C display sequence of objects on disk in paneled
sub-windows
The reshow, movie, and panel methods require
saving display objects.
Each display windows should have buttons bringing up menus that
The identify and locator methods, or others allowing display and return of data coordinates can be used to build graphical editing capabilities for both basic data objects and higher level displays of spectal, u-v, etc., data; however, the latter are beyond the level of things useful for basic data objects.