void rot_omega (gleDouble axis[3]) /* input */
{
gleDouble m[4][4];
urot_omega (m, axis);
MULTMATRIX(m);
}
void rot_about_axis (gleDouble angle, /* input */
gleDouble axis[3]) /* input */
{
gleDouble m[4][4];
urot_about_axis (m, angle, axis);
MULTMATRIX (m);
}
void rot_axis (gleDouble omega, /* input */
gleDouble axis[3]) /* input */
{
gleDouble m[4][4];
urot_axis (m, omega, axis);
MULTMATRIX (m);
}
static
void rotz_cs (gleDouble cosine, /* input */
gleDouble sine) /* input */
{
/* create and load matrix that represents rotation about the z-azis */
gleDouble m[4][4];
urotz_cs (m, cosine, sine);
MULTMATRIX (m);
}
void rot_prince (gleDouble theta, /* input */
char axis) /* input */
{
gleDouble m[4][4];
/*
* generate rotation matrix for rotation around principal axis;
* note that angle is measured in radians (divide by 180, multiply by
* PI to convert from degrees).
*/
urot_prince (m, theta, axis);
MULTMATRIX (m);
}
void
extrusion_round_or_cut_join (int ncp, /* number of contour points */
gleDouble contour[][2], /* 2D contour */
gleDouble cont_normal[][2],/* 2D normal vecs */
gleDouble up[3], /* up vector for contour */
int npoints, /* numpoints in poly-line */
gleDouble point_array[][3], /* polyline */
float color_array[][3], /* color of polyline */
gleDouble xform_array[][2][3]) /* 2D contour xforms */
{
int i, j;
int inext, inextnext;
gleDouble m[4][4];
gleDouble tube_len, seg_len;
gleDouble diff[3];
gleDouble bi_0[3], bi_1[3]; /* bisecting plane */
gleDouble bisector_0[3], bisector_1[3]; /* bisecting plane */
gleDouble cut_0[3], cut_1[3]; /* cutting planes */
gleDouble lcut_0[3], lcut_1[3]; /* cutting planes */
int valid_cut_0, valid_cut_1; /* flag -- cut vector is valid */
gleDouble end_point_0[3], end_point_1[3];
gleDouble torsion_point_0[3], torsion_point_1[3];
gleDouble isect_point[3];
gleDouble origin[3], neg_z[3];
gleDouble yup[3]; /* alternate up vector */
gleDouble *front_cap, *back_cap; /* arrays containing the end caps */
gleDouble *front_loop, *back_loop; /* arrays containing the tube ends */
double *front_norm, *back_norm; /* arrays containing normal vecs */
double *norm_loop=0x0, *tmp; /* normal vectors, cast into 3d from 2d */
int *front_is_trimmed, *back_is_trimmed; /* T or F */
float *front_color, *back_color; /* pointers to segment colors */
gleCapCallback cap_callback = 0x0 ; /* function callback to draw cap */
gleCapCallback tmp_cap_callback = 0x0; /* function callback to draw cap */
int join_style_is_cut; /* TRUE if join style is cut */
double dot; /* partial dot product */
char *mem_anchor;
int first_time = TRUE;
gleDouble *cut_vec;
/* create a local, block scope copy of of the join style.
* this will alleviate wasted cycles and register write-backs */
/* choose the right callback, depending on the choosen join style */
if (__TUBE_CUT_JOIN) {
join_style_is_cut = TRUE;
cap_callback = draw_cut_style_cap_callback;
} else {
join_style_is_cut = FALSE;
cap_callback = draw_round_style_cap_callback;
}
/* By definition, the contour passed in has its up vector pointing in
* the y direction */
if (up == NULL) {
yup[0] = 0.0;
yup[1] = 1.0;
yup[2] = 0.0;
} else {
VEC_COPY (yup, up);
}
/* ========== "up" vector sanity check ========== */
(void) up_sanity_check (yup, npoints, point_array);
/* the origin is at the origin */
origin [0] = 0.0;
origin [1] = 0.0;
origin [2] = 0.0;
/* and neg_z is at neg z */
neg_z[0] = 0.0;
neg_z[1] = 0.0;
neg_z[2] = 1.0;
/* malloc the data areas that we'll need to store the end-caps */
mem_anchor = malloc (4 * 3*ncp*sizeof(gleDouble)
+ 2 * 3*ncp*sizeof(double)
+ 2 * 1*ncp*sizeof(int));
front_norm = (double *) mem_anchor;
back_norm = front_norm + 3*ncp;
front_loop = (gleDouble *) (back_norm + 3*ncp);
back_loop = front_loop + 3*ncp;
front_cap = back_loop + 3*ncp;
back_cap = front_cap + 3*ncp;
front_is_trimmed = (int *) (back_cap + 3*ncp);
back_is_trimmed = front_is_trimmed + ncp;
/* ======================================= */
/* |-|-|-|-|-|-|-|-| SET UP FOR FIRST SEGMENT |-|-|-|-|-|-|-| */
/* ignore all segments of zero length */
i = 1;
inext = i;
FIND_NON_DEGENERATE_POINT (inext, npoints, seg_len, diff, point_array);
tube_len = seg_len; /* store for later use */
/* may as well get the normals set up now */
if (cont_normal != NULL) {
if (xform_array == NULL) {
norm_loop = front_norm;
back_norm = norm_loop;
for (j=0; j<ncp; j++) {
norm_loop[3*j] = cont_normal[j][0];
norm_loop[3*j+1] = cont_normal[j][1];
norm_loop[3*j+2] = 0.0;
}
} else {
for (j=0; j<ncp; j++) {
NORM_XFORM_2X2 ( (&front_norm[3*j]),
xform_array[inext-1],
cont_normal [j]);
front_norm[3*j+2] = 0.0;
back_norm[3*j+2] = 0.0;
}
}
} else {
front_norm = back_norm = norm_loop = NULL;
}
/* get the bisecting plane */
bisecting_plane (bi_0, point_array[i-1],
point_array[i],
point_array[inext]);
/* compute cutting plane */
CUTTING_PLANE (valid_cut_0, cut_0, point_array[i-1],
point_array[i],
point_array[inext]);
/* reflect the up vector in the bisecting plane */
VEC_REFLECT (yup, yup, bi_0);
/* |-|-|-|-|-|-|-|-| START LOOP OVER SEGMENTS |-|-|-|-|-|-|-| */
/* draw tubing, not doing the first segment */
while (inext<npoints-1) {
inextnext = inext;
/* ignore all segments of zero length */
FIND_NON_DEGENERATE_POINT (inextnext, npoints,
seg_len, diff, point_array);
/* get the far bisecting plane */
bisecting_plane (bi_1, point_array[i],
point_array[inext],
point_array[inextnext]);
/* compute cutting plane */
CUTTING_PLANE (valid_cut_1, cut_1, point_array[i],
point_array[inext],
point_array[inextnext]);
/* rotate so that z-axis points down v2-v1 axis,
* and so that origen is at v1 */
uviewpoint (m, point_array[i], point_array[inext], yup);
PUSHMATRIX ();
MULTMATRIX (m);
/* rotate the cutting planes into the local coordinate system */
MAT_DOT_VEC_3X3 (lcut_0, m, cut_0);
MAT_DOT_VEC_3X3 (lcut_1, m, cut_1);
/* rotate the bisecting planes into the local coordinate system */
MAT_DOT_VEC_3X3 (bisector_0, m, bi_0);
MAT_DOT_VEC_3X3 (bisector_1, m, bi_1);
neg_z[2] = -tube_len;
/* draw the tube */
/* --------- START OF TMESH GENERATION -------------- */
for (j=0; j<ncp; j++) {
/* set up the endpoints for segment clipping */
if (xform_array == NULL) {
VEC_COPY_2 (end_point_0, contour[j]);
VEC_COPY_2 (end_point_1, contour[j]);
VEC_COPY_2 (torsion_point_0, contour[j]);
VEC_COPY_2 (torsion_point_1, contour[j]);
} else {
/* transform the contour points with the local xform */
MAT_DOT_VEC_2X3 (end_point_0,
xform_array[inext-1], contour[j]);
MAT_DOT_VEC_2X3 (torsion_point_0,
xform_array[inext], contour[j]);
MAT_DOT_VEC_2X3 (end_point_1,
xform_array[inext], contour[j]);
MAT_DOT_VEC_2X3 (torsion_point_1,
xform_array[inext-1], contour[j]);
/* if there are normals and there are affine xforms,
* then compute local coordinate system normals.
* Set up the back normals. (The front normals we inherit
* from previous pass through the loop). */
if (cont_normal != NULL) {
/* do up the normal vectors with the inverse transpose */
NORM_XFORM_2X2 ( (&back_norm[3*j]),
xform_array[inext],
cont_normal [j]);
}
}
end_point_0 [2] = 0.0;
torsion_point_0 [2] = 0.0;
end_point_1 [2] = - tube_len;
torsion_point_1 [2] = - tube_len;
/* The two end-points define a line. Intersect this line
* against the clipping plane defined by the PREVIOUS
* tube segment. */
/* if this and the last tube are co-linear, don't cut the angle
* if you do, a divide by zero will result. This and last tube
* are co-linear when the cut vector is of zero length */
if (valid_cut_0 && join_style_is_cut) {
INNERSECT (isect_point, /* isect point (returned) */
origin, /* point on intersecting plane */
lcut_0, /* normal vector to plane */
end_point_0, /* point on line */
end_point_1); /* another point on the line */
/* determine whether the raw end of the extrusion would have
* been cut, by checking to see if the raw and is on the
* far end of the half-plane defined by the cut vector.
* If the raw end is not "cut", then it is "trimmed".
*/
if (lcut_0[2] < 0.0) { VEC_SCALE (lcut_0, -1.0, lcut_0); }
dot = lcut_0[0] * end_point_0[0];
dot += lcut_0[1] * end_point_0[1];
VEC_COPY ((&front_loop[3*j]), isect_point);
} else {
/* actual value of dot not interseting; need
* only be positive so that if test below failes */
dot = 1.0;
VEC_COPY ((&front_loop[3*j]), end_point_0);
}
INNERSECT (isect_point, /* intersection point (returned) */
origin, /* point on intersecting plane */
bisector_0, /* normal vector to plane */
end_point_0, /* point on line */
torsion_point_1); /* another point on the line */
/* trim out interior of intersecting tube */
/* ... but save the untrimmed version for drawing the endcaps */
/* ... note that cap contains valid data ONLY when is_trimmed
* is TRUE. */
if ((dot <= 0.0) || (isect_point[2] < front_loop[3*j+2])) {
/*
if ((dot <= 0.0) || (front_loop[3*j+2] > 0.0)) {
*/
VEC_COPY ((&front_cap[3*j]), (&front_loop [3*j]));
VEC_COPY ((&front_loop[3*j]), isect_point);
front_is_trimmed[j] = TRUE;
} else {
front_is_trimmed[j] = FALSE;
}
/* if intersection is behind the end of the segment,
* truncate to the end of the segment
* Note that coding front_loop [3*j+2] = -tube_len;
* doesn't work when twists are involved, */
if (front_loop[3*j+2] < -tube_len) {
VEC_COPY( (&front_loop[3*j]), end_point_1);
}
/* --------------------------------------------------- */
/* The two end-points define a line. We did one endpoint
* above. Now do the other.Intersect this line
* against the clipping plane defined by the NEXT
* tube segment. */
/* if this and the last tube are co-linear, don't cut the angle
* if you do, a divide by zero will result. This and last tube
* are co-linear when the cut vector is of zero length */
if (valid_cut_1 && join_style_is_cut) {
INNERSECT (isect_point, /* isect point (returned) */
neg_z, /* point on intersecting plane */
lcut_1, /* normal vector to plane */
end_point_1, /* point on line */
end_point_0); /* another point on the line */
if (lcut_1[2] > 0.0) { VEC_SCALE (lcut_1, -1.0, lcut_1); }
dot = lcut_1[0] * end_point_1[0];
dot += lcut_1[1] * end_point_1[1];
VEC_COPY ((&back_loop[3*j]), isect_point);
} else {
/* actual value of dot not interseting; need
* only be positive so that if test below failes */
dot = 1.0;
VEC_COPY ((&back_loop[3*j]), end_point_1);
}
INNERSECT (isect_point, /* intersection point (returned) */
neg_z, /* point on intersecting plane */
bisector_1, /* normal vector to plane */
torsion_point_0, /* point on line */
end_point_1); /* another point on the line */
/* cut out interior of intersecting tube */
/* ... but save the uncut version for drawing the endcaps */
/* ... note that cap contains valid data ONLY when is
*_trimmed is TRUE. */
/*
if ((dot <= 0.0) || (back_loop[3*j+2] < -tube_len)) {
*/
if ((dot <= 0.0) || (isect_point[2] > back_loop[3*j+2])) {
VEC_COPY ((&back_cap[3*j]), (&back_loop [3*j]));
VEC_COPY ((&back_loop[3*j]), isect_point);
back_is_trimmed[j] = TRUE;
} else {
back_is_trimmed[j] = FALSE;
}
/* if intersection is behind the end of the segment,
* truncate to the end of the segment
* Note that coding back_loop [3*j+2] = 0.0;
* doesn't work when twists are involved, */
if (back_loop[3*j+2] > 0.0) {
VEC_COPY( (&back_loop[3*j]), end_point_0);
}
}
/* --------- END OF TMESH GENERATION -------------- */
/* |||||||||||||||||| START SEGMENT DRAW |||||||||||||||||||| */
/* There are six different cases we can have for presence and/or
* absecnce of colors and normals, and for interpretation of
* normals. The blechy set of nested if statements below
* branch to each of the six cases */
if (xform_array == NULL) {
if (color_array == NULL) {
if (cont_normal == NULL) {
draw_segment_plain (ncp, (gleVector *) front_loop, (gleVector *) back_loop, inext, seg_len);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_segment_facet_n (ncp, (gleVector *) front_loop, (gleVector *) back_loop, (gleVector *) norm_loop,
inext, seg_len);
} else {
draw_segment_edge_n (ncp, (gleVector *) front_loop, (gleVector *) back_loop, (gleVector *) norm_loop,
inext, seg_len);
}
} else {
if (cont_normal == NULL) {
draw_segment_color (ncp, (gleVector *) front_loop, (gleVector *) back_loop,
color_array[inext-1],
color_array[inext], inext, seg_len);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_segment_c_and_facet_n (ncp,
(gleVector *) front_loop, (gleVector *) back_loop, (gleVector *) norm_loop,
color_array[inext-1],
color_array[inext], inext, seg_len);
} else {
draw_segment_c_and_edge_n (ncp,
(gleVector *) front_loop, (gleVector *) back_loop, (gleVector *) norm_loop,
color_array[inext-1],
color_array[inext], inext, seg_len);
}
}
} else {
if (color_array == NULL) {
if (cont_normal == NULL) {
draw_segment_plain (ncp, (gleVector *) front_loop, (gleVector *) back_loop, inext, seg_len);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_binorm_segment_facet_n (ncp, (gleVector *) front_loop, (gleVector *) back_loop,
(gleVector *) front_norm, (gleVector *) back_norm,
inext, seg_len);
} else {
draw_binorm_segment_edge_n (ncp, (gleVector *) front_loop, (gleVector *) back_loop,
(gleVector *) front_norm, (gleVector *) back_norm,
inext, seg_len);
}
} else {
if (cont_normal == NULL) {
draw_segment_color (ncp, (gleVector *) front_loop, (gleVector *) back_loop,
color_array[inext-1],
color_array[inext], inext, seg_len);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_binorm_segment_c_and_facet_n (ncp,
(gleVector *) front_loop, (gleVector *) back_loop,
(gleVector *) front_norm, (gleVector *) back_norm,
color_array[inext-1],
color_array[inext], inext, seg_len);
} else {
draw_binorm_segment_c_and_edge_n (ncp,
(gleVector *) front_loop, (gleVector *) back_loop,
(gleVector *) front_norm, (gleVector *) back_norm,
color_array[inext-1],
color_array[inext], inext, seg_len);
}
}
}
/* |||||||||||||||||| END SEGMENT DRAW |||||||||||||||||||| */
/* v^v^v^v^v^v^v^v^v BEGIN END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
/* if end caps are required, draw them. But don't draw any
* but the very first and last caps */
if (first_time) {
first_time = FALSE;
tmp_cap_callback = cap_callback;
cap_callback = null_cap_callback;
if (__TUBE_DRAW_CAP) {
if (color_array != NULL) C3F (color_array[inext-1]);
draw_angle_style_front_cap (ncp, bisector_0,
(gleDouble (*)[3]) front_loop);
}
}
/* v^v^v^v^v^v^v^v^v END END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
/* $$$$$$$$$$$$$$$$ BEGIN -1, FILLET & JOIN DRAW $$$$$$$$$$$$$$$$$ */
/*
* Now, draw the fillet triangles, and the join-caps.
*/
if (color_array != NULL) {
front_color = color_array[inext-1];
back_color = color_array[inext];
} else {
front_color = NULL;
back_color = NULL;
}
if (cont_normal == NULL) {
/* the flag valid-cut is true if the cut vector has a valid
* value (i.e. if a degenerate case has not occured).
*/
if (valid_cut_0) {
cut_vec = lcut_0;
} else {
cut_vec = NULL;
}
draw_fillets_and_join_plain (ncp,
(gleVector *) front_loop,
(gleVector *) front_cap,
front_is_trimmed,
origin,
bisector_0,
front_color,
back_color,
cut_vec,
TRUE,
cap_callback);
/* v^v^v^v^v^v^v^v^v BEGIN END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
if (inext == npoints-2) {
if (__TUBE_DRAW_CAP) {
if (color_array != NULL) C3F (color_array[inext]);
draw_angle_style_back_cap (ncp, bisector_1,
(gleDouble (*)[3]) back_loop);
cap_callback = null_cap_callback;
}
} else {
/* restore ability to draw cap */
cap_callback = tmp_cap_callback;
}
/* v^v^v^v^v^v^v^v^v END END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
/* the flag valid-cut is true if the cut vector has a valid
* value (i.e. if a degenerate case has not occured).
*/
if (valid_cut_1) {
cut_vec = lcut_1;
} else {
cut_vec = NULL;
}
draw_fillets_and_join_plain (ncp,
(gleVector *) back_loop,
(gleVector *) back_cap,
back_is_trimmed,
neg_z,
bisector_1,
back_color,
front_color,
cut_vec,
FALSE,
cap_callback);
} else {
/* the flag valid-cut is true if the cut vector has a valid
* value (i.e. if a degenerate case has not occured).
*/
if (valid_cut_0) {
cut_vec = lcut_0;
} else {
cut_vec = NULL;
}
draw_fillets_and_join_n_norms (ncp,
(gleVector *) front_loop,
(gleVector *) front_cap,
front_is_trimmed,
origin,
bisector_0,
(gleVector *) front_norm,
front_color,
back_color,
cut_vec,
TRUE,
cap_callback);
/* v^v^v^v^v^v^v^v^v BEGIN END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
if (inext == npoints-2) {
if (__TUBE_DRAW_CAP) {
if (color_array != NULL) C3F (color_array[inext]);
draw_angle_style_back_cap (ncp, bisector_1,
(gleDouble (*)[3]) back_loop);
cap_callback = null_cap_callback;
}
} else {
/* restore ability to draw cap */
cap_callback = tmp_cap_callback;
}
/* v^v^v^v^v^v^v^v^v END END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
/* the flag valid-cut is true if the cut vector has a valid
* value (i.e. if a degenerate case has not occured).
*/
if (valid_cut_1) {
cut_vec = lcut_1;
} else {
cut_vec = NULL;
}
draw_fillets_and_join_n_norms (ncp,
(gleVector *) back_loop,
(gleVector *) back_cap,
back_is_trimmed,
neg_z,
bisector_1,
(gleVector *) back_norm,
back_color,
front_color,
cut_vec,
FALSE,
cap_callback);
}
/* $$$$$$$$$$$$$$$$ END FILLET & JOIN DRAW $$$$$$$$$$$$$$$$$ */
/* pop this matrix, do the next set */
POPMATRIX ();
/* slosh stuff over to next vertex */
tmp = front_norm;
front_norm = back_norm;
back_norm = tmp;
tube_len = seg_len;
i = inext;
inext = inextnext;
VEC_COPY (bi_0, bi_1);
VEC_COPY (cut_0, cut_1);
valid_cut_0 = valid_cut_1;
/* reflect the up vector in the bisecting plane */
VEC_REFLECT (yup, yup, bi_0);
}
/* |-|-|-|-|-|-|-|-| END LOOP OVER SEGMENTS |-|-|-|-|-|-|-| */
free (mem_anchor);
}
void extrusion_angle_join (int ncp, /* number of contour points */
gleDouble contour[][2], /* 2D contour */
gleDouble cont_normal[][2], /* 2D normal vecs */
gleDouble up[3], /* up vector for contour */
int npoints, /* numpoints in poly-line */
gleDouble point_array[][3], /* polyline */
float color_array[][3], /* color of polyline */
gleDouble xform_array[][2][3]) /* 2D contour xforms */
{
int i, j;
int inext, inextnext;
gleDouble m[4][4];
gleDouble len;
gleDouble len_seg;
gleDouble diff[3];
gleDouble bi_0[3], bi_1[3]; /* bisecting plane */
gleDouble bisector_0[3], bisector_1[3]; /* bisecting plane */
gleDouble end_point_0[3], end_point_1[3];
gleDouble origin[3], neg_z[3];
gleDouble yup[3]; /* alternate up vector */
gleDouble *front_loop, *back_loop; /* contours in 3D */
char * mem_anchor;
double *norm_loop;
double *front_norm, *back_norm, *tmp; /* contour normals in 3D */
int first_time;
/* By definition, the contour passed in has its up vector pointing in
* the y direction */
if (up == NULL) {
yup[0] = 0.0;
yup[1] = 1.0;
yup[2] = 0.0;
} else {
VEC_COPY(yup, up);
}
/* ========== "up" vector sanity check ========== */
(void) up_sanity_check (yup, npoints, point_array);
/* the origin is at the origin */
origin [0] = 0.0;
origin [1] = 0.0;
origin [2] = 0.0;
/* and neg_z is at neg z */
neg_z[0] = 0.0;
neg_z[1] = 0.0;
neg_z[2] = 1.0;
/* ignore all segments of zero length */
i = 1;
inext = i;
FIND_NON_DEGENERATE_POINT (inext, npoints, len, diff, point_array);
len_seg = len; /* store for later use */
/* get the bisecting plane */
bisecting_plane (bi_0, point_array[0],
point_array[1],
point_array[inext]);
/* reflect the up vector in the bisecting plane */
VEC_REFLECT (yup, yup, bi_0);
/* malloc the storage we'll need for relaying changed contours to the
* drawing routines. */
mem_anchor = malloc (2 * 3 * ncp * sizeof(double)
+ 2 * 3 * ncp * sizeof(gleDouble));
front_loop = (gleDouble *) mem_anchor;
back_loop = front_loop + 3 * ncp;
front_norm = (double *) (back_loop + 3 * ncp);
back_norm = front_norm + 3 * ncp;
norm_loop = front_norm;
/* may as well get the normals set up now */
if (cont_normal != NULL) {
if (xform_array == NULL) {
for (j=0; j<ncp; j++) {
norm_loop[3*j] = cont_normal[j][0];
norm_loop[3*j+1] = cont_normal[j][1];
norm_loop[3*j+2] = 0.0;
}
} else {
for (j=0; j<ncp; j++) {
NORM_XFORM_2X2 ( (&front_norm[3*j]),
xform_array[inext-1],
cont_normal [j]);
front_norm[3*j+2] = 0.0;
back_norm[3*j+2] = 0.0;
}
}
}
first_time = TRUE;
/* draw tubing, not doing the first segment */
while (inext<npoints-1) {
inextnext = inext;
/* ignore all segments of zero length */
FIND_NON_DEGENERATE_POINT (inextnext, npoints, len, diff, point_array);
/* get the next bisecting plane */
bisecting_plane (bi_1, point_array[i],
point_array[inext],
point_array[inextnext]);
/* rotate so that z-axis points down v2-v1 axis,
* and so that origen is at v1 */
uviewpoint (m, point_array[i], point_array[inext], yup);
PUSHMATRIX ();
MULTMATRIX (m);
/* rotate the bisecting planes into the local coordinate system */
MAT_DOT_VEC_3X3 (bisector_0, m, bi_0);
MAT_DOT_VEC_3X3 (bisector_1, m, bi_1);
neg_z[2] = -len_seg;
/* draw the tube */
/* --------- START OF TMESH GENERATION -------------- */
for (j=0; j<ncp; j++) {
/* if there are normals, and there are either affine xforms, OR
* path-edge normals need to be drawn, then compute local
* coordinate system normals.
*/
if (cont_normal != NULL) {
/* set up the back normals. (The front normals we inherit
* from previous pass through the loop) */
if (xform_array != NULL) {
/* do up the normal vectors with the inverse transpose */
NORM_XFORM_2X2 ( (&back_norm[3*j]),
xform_array[inext],
cont_normal [j]);
}
/* Note that if the xform array is NULL, then normals are
* constant, and are set up outside of the loop.
*/
/*
* if there are normal vectors, and the style calls for it,
* then we want to project the normal vectors into the
* bisecting plane. (This style is needed to make toroids, etc.
* look good: Without this, segmentation artifacts show up
* under lighting.
*/
if (__TUBE_DRAW_PATH_EDGE_NORMALS) {
/* Hmm, if no affine xforms, then we haven't yet set
* back vector. So do it. */
if (xform_array == NULL) {
back_norm[3*j] = cont_normal[j][0];
back_norm[3*j+1] = cont_normal[j][1];
}
/* now, start with a fresh normal (z component equal to
* zero), project onto bisecting plane (by computing
* perpendicular componenet to bisect vector, and renormalize
* (since projected vector is not of unit length */
front_norm[3*j+2] = 0.0;
VEC_PERP ((&front_norm[3*j]), (&front_norm[3*j]), bisector_0);
VEC_NORMALIZE ((&front_norm[3*j]));
back_norm[3*j+2] = 0.0;
VEC_PERP ((&back_norm[3*j]), (&back_norm[3*j]), bisector_1);
VEC_NORMALIZE ((&back_norm[3*j]));
}
}
/* Next, we want to define segements. We find the endpoints of
* the segments by intersecting the contour with the bisecting
* plane. If there is no local affine transform, this is easy.
*
* If there is an affine tranform, then we want to remove the
* torsional component, so that the intersection points won't
* get twisted out of shape. We do this by applying the
* local affine transform to the entire coordinate system.
*/
if (xform_array == NULL) {
end_point_0 [0] = contour[j][0];
end_point_0 [1] = contour[j][1];
end_point_1 [0] = contour[j][0];
end_point_1 [1] = contour[j][1];
} else {
/* transform the contour points with the local xform */
MAT_DOT_VEC_2X3 (end_point_0,
xform_array[inext-1], contour[j]);
MAT_DOT_VEC_2X3 (end_point_1,
xform_array[inext-1], contour[j]);
}
end_point_0 [2] = 0.0;
end_point_1 [2] = - len_seg;
/* The two end-points define a line. Intersect this line
* against the clipping plane defined by the PREVIOUS
* tube segment. */
INNERSECT ((&front_loop[3*j]), /* intersection point (returned) */
origin, /* point on intersecting plane */
bisector_0, /* normal vector to plane */
end_point_0, /* point on line */
end_point_1); /* another point on the line */
/* The two end-points define a line. Intersect this line
* against the clipping plane defined by the NEXT
* tube segment. */
/* if there's an affine coordinate change, be sure to use it */
if (xform_array != NULL) {
/* transform the contour points with the local xform */
MAT_DOT_VEC_2X3 (end_point_0,
xform_array[inext], contour[j]);
MAT_DOT_VEC_2X3 (end_point_1,
xform_array[inext], contour[j]);
}
INNERSECT ((&back_loop[3*j]), /* intersection point (returned) */
neg_z, /* point on intersecting plane */
bisector_1, /* normal vector to plane */
end_point_0, /* point on line */
end_point_1); /* another point on the line */
}
/* --------- END OF TMESH GENERATION -------------- */
/* v^v^v^v^v^v^v^v^v BEGIN END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
/* if end caps are required, draw them. But don't draw any
* but the very first and last caps */
if (__TUBE_DRAW_CAP) {
if (first_time) {
if (color_array != NULL) C3F (color_array[inext-1]);
first_time = FALSE;
draw_angle_style_front_cap (ncp, bisector_0, (gleVector *) front_loop);
}
if (inext == npoints-2) {
if (color_array != NULL) C3F (color_array[inext]);
draw_angle_style_back_cap (ncp, bisector_1, (gleVector *) back_loop);
}
}
/* v^v^v^v^v^v^v^v^v END END CAPS v^v^v^v^v^v^v^v^v^v^v^v */
/* |||||||||||||||||| START SEGMENT DRAW |||||||||||||||||||| */
/* There are six different cases we can have for presence and/or
* absecnce of colors and normals, and for interpretation of
* normals. The blechy set of nested if statements below
* branch to each of the six cases */
if ((xform_array == NULL) && (!__TUBE_DRAW_PATH_EDGE_NORMALS)) {
if (color_array == NULL) {
if (cont_normal == NULL) {
draw_segment_plain (ncp, (gleVector *) front_loop,
(gleVector *) back_loop, inext, len_seg);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_segment_facet_n (ncp, (gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) norm_loop, inext, len_seg);
} else {
draw_segment_edge_n (ncp, (gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) norm_loop, inext, len_seg);
}
} else {
if (cont_normal == NULL) {
draw_segment_color (ncp, (gleVector *) front_loop,
(gleVector *) back_loop,
color_array[inext-1],
color_array[inext], inext, len_seg);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_segment_c_and_facet_n (ncp,
(gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) norm_loop,
color_array[inext-1],
color_array[inext], inext, len_seg);
} else {
draw_segment_c_and_edge_n (ncp,
(gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) norm_loop,
color_array[inext-1],
color_array[inext], inext, len_seg);
}
}
} else {
if (color_array == NULL) {
if (cont_normal == NULL) {
draw_segment_plain (ncp, (gleVector *) front_loop,
(gleVector *) back_loop, inext, len_seg);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_binorm_segment_facet_n (ncp, (gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) front_norm,
(gleVector *) back_norm,
inext, len_seg);
} else {
draw_binorm_segment_edge_n (ncp, (gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) front_norm,
(gleVector *) back_norm,
inext, len_seg);
}
} else {
if (cont_normal == NULL) {
draw_segment_color (ncp, (gleVector *) front_loop,
(gleVector *) back_loop,
color_array[inext-1],
color_array[inext], inext, len_seg);
} else
if (__TUBE_DRAW_FACET_NORMALS) {
draw_binorm_segment_c_and_facet_n (ncp,
(gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) front_norm,
(gleVector *) back_norm,
color_array[inext-1],
color_array[inext], inext, len_seg);
} else {
draw_binorm_segment_c_and_edge_n (ncp,
(gleVector *) front_loop,
(gleVector *) back_loop,
(gleVector *) front_norm,
(gleVector *) back_norm,
color_array[inext-1],
color_array[inext], inext, len_seg);
}
}
}
/* |||||||||||||||||| END SEGMENT DRAW |||||||||||||||||||| */
/* pop this matrix, do the next set */
POPMATRIX ();
/* bump everything to the next vertex */
len_seg = len;
i = inext;
inext = inextnext;
VEC_COPY (bi_0, bi_1);
/* trade norm loops */
tmp = front_norm;
front_norm = back_norm;
back_norm = tmp;
/* reflect the up vector in the bisecting plane */
VEC_REFLECT (yup, yup, bi_0);
}
/* be sure to free it all up */
free (mem_anchor);
}