Design: 06.02.01/P02

This is an abstract, language-independent design. Grim details may be found in the corresponding source code. You may return to the documentation for the module containing this program design, or to the entire hierarchical table of topics covered by the PVT. 

PROGRAM 2: Behavior of 3D mapping

CHARACTERISTICS: nnnn

OPERATOR SCRIPT: passive test.

DESIGN:

*** *** *** *** *** *** *** *** *** ***

Set 3D mapping parameters for PARALLEL projection:
  UMIN, UMAX, VMIN, VMAX = -462.27, -80.95, -4891.85, -94.78
  XMIN, XMAX, YMIN, YMAX, ZMIN, ZMAX =
    0.2640, 0.4082, 0.01339, 0.7457, 0.1395, 0.30036
  PRP = -15.044, 1.318, 34.873
  VPD = -1.213
  BPD = -3.311
  FPD = 15.332

TEST: #SR 1 2 7 8 9
      "<Evaluate view mapping matrix 3> should map the corners of the
       view volume to the corresponding corners of the projection
       viewport for a PARALLEL projection."

pass/fail depending on results of TSTCOR subroutine (see below)

TEST: #SR 1 2 10
      "<Evaluate view mapping matrix 3> should map any two points
       on a given projector to the same x and y values in NPC
       space for a PARALLEL projection."

pass/fail depending on results of TSTPRJ subroutine (see below)

*** *** *** *** *** *** *** *** *** ***

Set 3D mapping parameters for PERSPECTIVE projection:
  UMIN, UMAX, VMIN, VMAX =  -462.2236, -11.39577, -4860.530, 2.2558320E-02
  XMIN, XMAX, YMIN, YMAX, ZMIN, ZMAX =
    0.10639, 0.22243, 0.10012, 0.15392, 0.24695, 0.88262
  PRP = -3.6054E-02, 2.1181E-03, 3.0569
  VPD =  0.16487
  BPD = -5.2858E-03
  FPD =  3.0531

TEST: #SR 1 2 7 8 9
      "<Evaluate view mapping matrix 3> should map the corners of the
       view volume to the corresponding corners of the projection
       viewport for a PERSPECTIVE projection."

pass/fail depending on results of TSTCOR subroutine (see below)

TEST: #SR 1 2 10
      "<Evaluate view mapping matrix 3> should map any two points
       on a given projector to the same x and y values in NPC
       space for a PERSPECTIVE projection."

pass/fail depending on results of TSTPRJ subroutine (see below)

*** *** *** *** *** *** *** *** *** ***

Set 3D mapping parameters for PARALLEL projection, with flat
viewport (ZMIN = ZMAX):
  UMIN, UMAX, VMIN, VMAX = -2.6073, 231.673, 830.654, 4.74075E+4
  XMIN, XMAX, YMIN, YMAX, ZMIN, ZMAX =
    0.30322, 0.54641, 0.28099, 0.68383, 6.0076E-03, 6.0076E-03
  PRP = 3.8497, 72.490, -111.363
  VPD = -0.38069
  BPD = -0.46296
  FPD = -4.25281E-02

TEST: #SR 1 2 7 8 9
      "<Evaluate view mapping matrix 3> should map the corners of the
       view volume to the corresponding corners of a flat projection
       viewport for a PARALLEL projection."

pass/fail depending on results of TSTCOR subroutine (see below)

TEST: #SR 1 2 10
      "<Evaluate view mapping matrix 3> should map any two points
       on a given projector to the same x and y values in NPC
       space for a flat projection viewport and a PARALLEL
       projection."

pass/fail depending on results of TSTPRJ subroutine (see below)

*** *** *** *** *** *** *** *** *** ***

Set 3D mapping parameters for PERSPECTIVE projection, with a flat
viewport (ZMIN = ZMAX) and view volume (BPD = FPD):
  UMIN, UMAX, VMIN, VMAX = -1.7800E-03, 7.5534E-02, -1.5509, 8779.861
  XMIN, XMAX, YMIN, YMAX, ZMIN, ZMAX =
    0.15580, 0.537, 1.7186E-03, 0.3148, 0.73940, 0.73940
  PRP = -1.8005, -4.19006E-02, 6.3462,
  VPD = 0.831
  BPD = -2.1753
  FPD = -2.1753

TEST: #SR 1 2 7 8 9
      "<Evaluate view mapping matrix 3> should map the corners of a
       flat view volume to the corresponding corners of a flat
       projection viewport for a PERSPECTIVE projection."

pass/fail depending on results of TSTCOR subroutine (see below)

TEST: #SR 1 2 10
      "<Evaluate view mapping matrix 3> should map any two points
       on a given projector to the same x and y values in NPC
       space for a flat view volume, a flat projection viewport,
       and a PERSPECTIVE projection."

pass/fail depending on results of TSTPRJ subroutine (see below)

---------------------------------------------------------------

TSTCOR subroutine:
   compute actvv = actual values for view volume corners,
   compute exppr = expected values for projection viewport corners,
   use <Evaluate view mapping matrix 3> to determine
      trnf = transformation matrix
   apply trnf to actvv to determine
      actpr = actual values for projection viewport corners
   pass/fail corners test depending on (actpr approx= exppr)

TSTPRJ subroutine:
   compute VRC projector passing thru view window center
   pick two points on projector
   apply trnf to projector points to determine
      centx1, centy1, centz1 = 1st transformed center point
      centx2, centy2, centz2 = 2nd transformed center point
   pass/fail projector test depending on
     (centx1 approx= centx2 and centy1 approx= centy2)

END PROGRAM 2