NAME

       SET3 - Defines the transformation from three dimensions to two dimensions.

SYNOPSIS

       CALL SET3 (XMIN,XMAX,YMIN,YMAX,UMIN,UMAX,VMIN,VMAX,WMIN,WMAX,PEYE)

C-BINDING SYNOPSIS

       #include <ncarg/ncargC.h>

       void c_set3 (float xmin, float xmax, float ymin, float ymax,
       float umin, float umax, float vmin, float vmax, float wmin,
       float wmax, float peye[3])

DESCRIPTION

       XMIN,XMAX,YMIN,YMAX
                   (input expressions of type REAL) are the fractional coordinates (in NDCs)
                   defining the portion of the plotter frame (the "viewport") into which 3-D
                   objects are to be projected.  Each has a value between 0. and 1., inclusive.
                   Examples:  To use the whole plotter frame, set XMIN=0., XMAX=1., YMIN=0., and
                   YMAX=1.; to use the upper left quarter of the plotter frame, set XMIN=0.,
                   XMAX=.5, YMIN=.5, and YMAX=1.

       UMIN,UMAX,VMIN,VMAX,WMIN,WMAX
                   (input expressions of type REAL) are the limiting coordinates, in a 3-D
                   coordinate space of the user's choosing, of the rectangular box that is to be
                   projected.  This box normally contains all of the objects whose projections
                   are to be drawn.

       PEYE        (an input array, dimensioned 3, of type REAL) is an array specifying the
                   coordinates, in the user's 3-D coordinate system, of the eye position.  The
                   point

                         (PEYE(1),PEYE(2),PEYE(3))

                   must be outside the box defined by UMIN, UMAX, VMIN, VMAX, WMIN, and WMAX.
                   Objects will be drawn as they appear from this point.

       The call to SET3 says what portion of the 3-D coordinate system is to be projected, from
       what point it is to be projected, and where the resulting picture is to be placed on the
       plotter frame.

       The array PEYE specifies the position of the eye, which may be referred to as the
       "viewpoint" or "center" of the projection.

       The "line of sight" runs from the point

             (PEYE(1),PEYE(2),PEYE(3))

       (the eye position) to the point

             (.5*(UMIN+UMAX),.5*(VMIN+VMAX),.5*(WMIN+WMAX))

       (the point at the center of the projected box).

       The "image plane" is perpendicular to the line of sight and may be thought of as passing
       through the center of the box.  The projection of an arbitrary point P in 3-space is the
       point where the straight line from the eye position to P passes through the image plane.
       The projection of a more complicated object is just the union of the projections of its
       constituent points.

       The projection in the image plane of the box specified by the arguments UMIN, UMAX, VMIN,
       VMAX, WMIN, and WMAX will be scaled to fit in the viewport specified by the arguments
       XMIN, XMAX, YMIN, and YMAX.  The projected box will retain its natural aspect ratio;
       typically, it will just touch the left and right edges of the viewport, or the top and
       bottom of the viewport, but not both.

       The image of the box will be rotated so that the projection of a unit vector based at the
       center of the box and pointing in the direction of the positive W axis will be made to
       point upward in the viewport.  However, if the line of sight is very nearly parallel to
       the W axis, so that the projection of this unit vector shrinks almost to a point, then a
       unit vector based at the center of the box and pointing in the direction of the positive V
       axis will be made to point upward in the viewport instead.  One implication of this is
       that, if you are making a movie by letting the eye "fly around" the objects being
       projected and it gets too close to being directly above or below the center of the box,
       there may be a sudden disconcerting rotation of the projected image.

C-BINDING DESCRIPTION

       The C-binding argument descriptions are the same as the FORTRAN argument descriptions.

USAGE

       SET3 should be called before calling other THREED routines.

EXAMPLES

       Use the ncargex command to see the following relevant examples: tpwrzt, tthree.

ACCESS

       To use SET3 or c_set3, load the NCAR Graphics libraries ncarg, ncarg_gks, and ncarg_c,
       preferably in that order.

SEE ALSO

       Online: threed, curve3, fence3, frst3, line3, perim3, point3, psym3, pwrz, pwrzt, threed,
       tick3, tick43, vect3, ncarg_cbind.

       Hardcopy: NCAR Graphics Fundamentals, UNIX Version

COPYRIGHT

       Copyright (C) 1987-2009
       University Corporation for Atmospheric Research
       The use of this Software is governed by a License Agreement.