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+
+/*
+ * Mesa 3-D graphics library
+ * Version: 3.3
+ * Copyright (C) 1995-2000 Brian Paul
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Library General Public
+ * License as published by the Free Software Foundation; either
+ * version 2 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Library General Public License for more details.
+ *
+ * You should have received a copy of the GNU Library General Public
+ * License along with this library; if not, write to the Free
+ * Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
+ */
+
+
+/*
+ * NURBS implementation written by Bogdan Sikorski ([email protected])
+ * See README2 for more info.
+ */
+
+
+#ifdef PC_HEADER
+#include "all.h"
+#else
+#include <math.h>
+#include <stdlib.h>
+#include "gluP.h"
+#include "nurbs.h"
+#endif
+
+
+static int
+get_curve_dim(GLenum type)
+{
+ switch (type) {
+ case GL_MAP1_VERTEX_3:
+ return 3;
+ case GL_MAP1_VERTEX_4:
+ return 4;
+ case GL_MAP1_INDEX:
+ return 1;
+ case GL_MAP1_COLOR_4:
+ return 4;
+ case GL_MAP1_NORMAL:
+ return 3;
+ case GL_MAP1_TEXTURE_COORD_1:
+ return 1;
+ case GL_MAP1_TEXTURE_COORD_2:
+ return 2;
+ case GL_MAP1_TEXTURE_COORD_3:
+ return 3;
+ case GL_MAP1_TEXTURE_COORD_4:
+ return 4;
+ default:
+ abort(); /* TODO: is this OK? */
+ }
+ return 0; /*never get here */
+}
+
+static GLenum
+test_nurbs_curve(GLUnurbsObj * nobj, curve_attribs * attribs)
+{
+ GLenum err;
+ GLint tmp_int;
+
+ if (attribs->order < 0) {
+ call_user_error(nobj, GLU_INVALID_VALUE);
+ return GLU_ERROR;
+ }
+ glGetIntegerv(GL_MAX_EVAL_ORDER, &tmp_int);
+ if (attribs->order > tmp_int || attribs->order < 2) {
+ call_user_error(nobj, GLU_NURBS_ERROR1);
+ return GLU_ERROR;
+ }
+ if (attribs->knot_count < attribs->order + 2) {
+ call_user_error(nobj, GLU_NURBS_ERROR2);
+ return GLU_ERROR;
+ }
+ if (attribs->stride < 0) {
+ call_user_error(nobj, GLU_NURBS_ERROR34);
+ return GLU_ERROR;
+ }
+ if (attribs->knot == NULL || attribs->ctrlarray == NULL) {
+ call_user_error(nobj, GLU_NURBS_ERROR36);
+ return GLU_ERROR;
+ }
+ if ((err = test_knot(attribs->knot_count, attribs->knot, attribs->order))
+ != GLU_NO_ERROR) {
+ call_user_error(nobj, err);
+ return GLU_ERROR;
+ }
+ return GLU_NO_ERROR;
+}
+
+static GLenum
+test_nurbs_curves(GLUnurbsObj * nobj)
+{
+ /* test the geometric data */
+ if (test_nurbs_curve(nobj, &(nobj->curve.geom)) != GLU_NO_ERROR)
+ return GLU_ERROR;
+ /* now test the attributive data */
+ /* color */
+ if (nobj->curve.color.type != GLU_INVALID_ENUM)
+ if (test_nurbs_curve(nobj, &(nobj->curve.color)) != GLU_NO_ERROR)
+ return GLU_ERROR;
+ /* normal */
+ if (nobj->curve.normal.type != GLU_INVALID_ENUM)
+ if (test_nurbs_curve(nobj, &(nobj->curve.normal)) != GLU_NO_ERROR)
+ return GLU_ERROR;
+ /* texture */
+ if (nobj->curve.texture.type != GLU_INVALID_ENUM)
+ if (test_nurbs_curve(nobj, &(nobj->curve.texture)) != GLU_NO_ERROR)
+ return GLU_ERROR;
+ return GLU_NO_ERROR;
+}
+
+/* prepare the knot information structures */
+static GLenum
+fill_knot_structures(GLUnurbsObj * nobj, knot_str_type * geom_knot,
+ knot_str_type * color_knot, knot_str_type * normal_knot,
+ knot_str_type * texture_knot)
+{
+ GLint order;
+ GLfloat *knot;
+ GLint nknots;
+ GLint t_min, t_max;
+
+ geom_knot->unified_knot = NULL;
+ knot = geom_knot->knot = nobj->curve.geom.knot;
+ nknots = geom_knot->nknots = nobj->curve.geom.knot_count;
+ order = geom_knot->order = nobj->curve.geom.order;
+ geom_knot->delta_nknots = 0;
+ t_min = geom_knot->t_min = order - 1;
+ t_max = geom_knot->t_max = nknots - order;
+ if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
+ call_user_error(nobj, GLU_NURBS_ERROR3);
+ return GLU_ERROR;
+ }
+ if (fabs(knot[0] - knot[t_min]) < EPSILON) {
+ /* knot open at beggining */
+ geom_knot->open_at_begin = GL_TRUE;
+ }
+ else
+ geom_knot->open_at_begin = GL_FALSE;
+ if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
+ /* knot open at end */
+ geom_knot->open_at_end = GL_TRUE;
+ }
+ else
+ geom_knot->open_at_end = GL_FALSE;
+ if (nobj->curve.color.type != GLU_INVALID_ENUM) {
+ color_knot->unified_knot = (GLfloat *) 1;
+ knot = color_knot->knot = nobj->curve.color.knot;
+ nknots = color_knot->nknots = nobj->curve.color.knot_count;
+ order = color_knot->order = nobj->curve.color.order;
+ color_knot->delta_nknots = 0;
+ t_min = color_knot->t_min = order - 1;
+ t_max = color_knot->t_max = nknots - order;
+ if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
+ call_user_error(nobj, GLU_NURBS_ERROR3);
+ return GLU_ERROR;
+ }
+ if (fabs(knot[0] - knot[t_min]) < EPSILON) {
+ /* knot open at beggining */
+ color_knot->open_at_begin = GL_TRUE;
+ }
+ else
+ color_knot->open_at_begin = GL_FALSE;
+ if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
+ /* knot open at end */
+ color_knot->open_at_end = GL_TRUE;
+ }
+ else
+ color_knot->open_at_end = GL_FALSE;
+ }
+ else
+ color_knot->unified_knot = NULL;
+ if (nobj->curve.normal.type != GLU_INVALID_ENUM) {
+ normal_knot->unified_knot = (GLfloat *) 1;
+ knot = normal_knot->knot = nobj->curve.normal.knot;
+ nknots = normal_knot->nknots = nobj->curve.normal.knot_count;
+ order = normal_knot->order = nobj->curve.normal.order;
+ normal_knot->delta_nknots = 0;
+ t_min = normal_knot->t_min = order - 1;
+ t_max = normal_knot->t_max = nknots - order;
+ if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
+ call_user_error(nobj, GLU_NURBS_ERROR3);
+ return GLU_ERROR;
+ }
+ if (fabs(knot[0] - knot[t_min]) < EPSILON) {
+ /* knot open at beggining */
+ normal_knot->open_at_begin = GL_TRUE;
+ }
+ else
+ normal_knot->open_at_begin = GL_FALSE;
+ if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
+ /* knot open at end */
+ normal_knot->open_at_end = GL_TRUE;
+ }
+ else
+ normal_knot->open_at_end = GL_FALSE;
+ }
+ else
+ normal_knot->unified_knot = NULL;
+ if (nobj->curve.texture.type != GLU_INVALID_ENUM) {
+ texture_knot->unified_knot = (GLfloat *) 1;
+ knot = texture_knot->knot = nobj->curve.texture.knot;
+ nknots = texture_knot->nknots = nobj->curve.texture.knot_count;
+ order = texture_knot->order = nobj->curve.texture.order;
+ texture_knot->delta_nknots = 0;
+ t_min = texture_knot->t_min = order - 1;
+ t_max = texture_knot->t_max = nknots - order;
+ if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
+ call_user_error(nobj, GLU_NURBS_ERROR3);
+ return GLU_ERROR;
+ }
+ if (fabs(knot[0] - knot[t_min]) < EPSILON) {
+ /* knot open at beggining */
+ texture_knot->open_at_begin = GL_TRUE;
+ }
+ else
+ texture_knot->open_at_begin = GL_FALSE;
+ if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
+ /* knot open at end */
+ texture_knot->open_at_end = GL_TRUE;
+ }
+ else
+ texture_knot->open_at_end = GL_FALSE;
+ }
+ else
+ texture_knot->unified_knot = NULL;
+ return GLU_NO_ERROR;
+}
+
+/* covert the NURBS curve into a series of adjacent Bezier curves */
+static GLenum
+convert_curve(knot_str_type * the_knot, curve_attribs * attrib,
+ GLfloat ** new_ctrl, GLint * ncontrol)
+{
+ GLenum err;
+
+ if ((err = explode_knot(the_knot)) != GLU_NO_ERROR) {
+ if (the_knot->unified_knot) {
+ free(the_knot->unified_knot);
+ the_knot->unified_knot = NULL;
+ }
+ return err;
+ }
+ if (the_knot->unified_knot) {
+ free(the_knot->unified_knot);
+ the_knot->unified_knot = NULL;
+ }
+ if ((err = calc_alphas(the_knot)) != GLU_NO_ERROR) {
+ free(the_knot->new_knot);
+ return err;
+ }
+ free(the_knot->new_knot);
+ if ((err = calc_new_ctrl_pts(attrib->ctrlarray, attrib->stride, the_knot,
+ attrib->dim, new_ctrl, ncontrol))
+ != GLU_NO_ERROR) {
+ free(the_knot->alpha);
+ return err;
+ }
+ free(the_knot->alpha);
+ return GLU_NO_ERROR;
+}
+
+/* covert curves - geometry and possible attribute ones into equivalent */
+/* sequence of adjacent Bezier curves */
+static GLenum
+convert_curves(GLUnurbsObj * nobj, GLfloat ** new_geom_ctrl,
+ GLint * ncontrol, GLfloat ** new_color_ctrl,
+ GLfloat ** new_normal_ctrl, GLfloat ** new_texture_ctrl)
+{
+ knot_str_type geom_knot, color_knot, normal_knot, texture_knot;
+ GLint junk;
+ GLenum err;
+
+ *new_color_ctrl = *new_normal_ctrl = *new_texture_ctrl = NULL;
+
+ if (fill_knot_structures(nobj, &geom_knot, &color_knot, &normal_knot,
+ &texture_knot) != GLU_NO_ERROR)
+ return GLU_ERROR;
+
+ /* unify knots - all knots should have the same number of working */
+ /* ranges */
+ if (
+ (err =
+ select_knot_working_range(nobj, &geom_knot, &color_knot, &normal_knot,
+ &texture_knot)) != GLU_NO_ERROR) {
+ return err;
+ }
+ /* convert the geometry curve */
+ nobj->curve.geom.dim = get_curve_dim(nobj->curve.geom.type);
+ if ((err = convert_curve(&geom_knot, &(nobj->curve.geom), new_geom_ctrl,
+ ncontrol)) != GLU_NO_ERROR) {
+ free_unified_knots(&geom_knot, &color_knot, &normal_knot,
+ &texture_knot);
+ call_user_error(nobj, err);
+ return err;
+ }
+ /* if additional attributive curves are given convert them as well */
+ if (color_knot.unified_knot) {
+ nobj->curve.color.dim = get_curve_dim(nobj->curve.color.type);
+ if ((err = convert_curve(&color_knot, &(nobj->curve.color),
+ new_color_ctrl, &junk)) != GLU_NO_ERROR) {
+ free_unified_knots(&geom_knot, &color_knot, &normal_knot,
+ &texture_knot);
+ free(*new_geom_ctrl);
+ call_user_error(nobj, err);
+ return err;
+ }
+ }
+ if (normal_knot.unified_knot) {
+ nobj->curve.normal.dim = get_curve_dim(nobj->curve.normal.type);
+ if ((err = convert_curve(&normal_knot, &(nobj->curve.normal),
+ new_normal_ctrl, &junk)) != GLU_NO_ERROR) {
+ free_unified_knots(&geom_knot, &color_knot, &normal_knot,
+ &texture_knot);
+ free(*new_geom_ctrl);
+ if (*new_color_ctrl)
+ free(*new_color_ctrl);
+ call_user_error(nobj, err);
+ return err;
+ }
+ }
+ if (texture_knot.unified_knot) {
+ nobj->curve.texture.dim = get_curve_dim(nobj->curve.texture.type);
+ if ((err = convert_curve(&texture_knot, &(nobj->curve.texture),
+ new_texture_ctrl, &junk)) != GLU_NO_ERROR) {
+ free_unified_knots(&geom_knot, &color_knot, &normal_knot,
+ &texture_knot);
+ free(*new_geom_ctrl);
+ if (*new_color_ctrl)
+ free(*new_color_ctrl);
+ if (*new_normal_ctrl)
+ free(*new_normal_ctrl);
+ call_user_error(nobj, err);
+ return err;
+ }
+ }
+ return GLU_NO_ERROR;
+}
+
+/* main NURBS curve procedure */
+void
+do_nurbs_curve(GLUnurbsObj * nobj)
+{
+ GLint geom_order, color_order = 0, normal_order = 0, texture_order = 0;
+ GLenum geom_type;
+ GLint n_ctrl;
+ GLfloat *new_geom_ctrl, *new_color_ctrl, *new_normal_ctrl,
+ *new_texture_ctrl;
+ GLfloat *geom_ctrl = 0, *color_ctrl = 0, *normal_ctrl = 0, *texture_ctrl = 0;
+ GLint *factors;
+ GLint i, j;
+ GLint geom_dim, color_dim = 0, normal_dim = 0, texture_dim = 0;
+
+ /* test the user supplied data */
+ if (test_nurbs_curves(nobj) != GLU_NO_ERROR)
+ return;
+
+ if (convert_curves(nobj, &new_geom_ctrl, &n_ctrl, &new_color_ctrl,
+ &new_normal_ctrl, &new_texture_ctrl) != GLU_NO_ERROR)
+ return;
+
+ geom_order = nobj->curve.geom.order;
+ geom_type = nobj->curve.geom.type;
+ geom_dim = nobj->curve.geom.dim;
+
+ if (glu_do_sampling_crv(nobj, new_geom_ctrl, n_ctrl, geom_order, geom_dim,
+ &factors) != GLU_NO_ERROR) {
+ free(new_geom_ctrl);
+ if (new_color_ctrl)
+ free(new_color_ctrl);
+ if (new_normal_ctrl)
+ free(new_normal_ctrl);
+ if (new_texture_ctrl)
+ free(new_texture_ctrl);
+ return;
+ }
+ glEnable(geom_type);
+ if (new_color_ctrl) {
+ glEnable(nobj->curve.color.type);
+ color_dim = nobj->curve.color.dim;
+ color_ctrl = new_color_ctrl;
+ color_order = nobj->curve.color.order;
+ }
+ if (new_normal_ctrl) {
+ glEnable(nobj->curve.normal.type);
+ normal_dim = nobj->curve.normal.dim;
+ normal_ctrl = new_normal_ctrl;
+ normal_order = nobj->curve.normal.order;
+ }
+ if (new_texture_ctrl) {
+ glEnable(nobj->curve.texture.type);
+ texture_dim = nobj->curve.texture.dim;
+ texture_ctrl = new_texture_ctrl;
+ texture_order = nobj->curve.texture.order;
+ }
+ for (i = 0, j = 0, geom_ctrl = new_geom_ctrl;
+ i < n_ctrl; i += geom_order, j++, geom_ctrl += geom_order * geom_dim) {
+ if (fine_culling_test_2D
+ (nobj, geom_ctrl, geom_order, geom_dim, geom_dim)) {
+ color_ctrl += color_order * color_dim;
+ normal_ctrl += normal_order * normal_dim;
+ texture_ctrl += texture_order * texture_dim;
+ continue;
+ }
+ glMap1f(geom_type, 0.0, 1.0, geom_dim, geom_order, geom_ctrl);
+ if (new_color_ctrl) {
+ glMap1f(nobj->curve.color.type, 0.0, 1.0, color_dim,
+ color_order, color_ctrl);
+ color_ctrl += color_order * color_dim;
+ }
+ if (new_normal_ctrl) {
+ glMap1f(nobj->curve.normal.type, 0.0, 1.0, normal_dim,
+ normal_order, normal_ctrl);
+ normal_ctrl += normal_order * normal_dim;
+ }
+ if (new_texture_ctrl) {
+ glMap1f(nobj->curve.texture.type, 0.0, 1.0, texture_dim,
+ texture_order, texture_ctrl);
+ texture_ctrl += texture_order * texture_dim;
+ }
+ glMapGrid1f(factors[j], 0.0, 1.0);
+ glEvalMesh1(GL_LINE, 0, factors[j]);
+ }
+ free(new_geom_ctrl);
+ free(factors);
+ if (new_color_ctrl)
+ free(new_color_ctrl);
+ if (new_normal_ctrl)
+ free(new_normal_ctrl);
+ if (new_texture_ctrl)
+ free(new_texture_ctrl);
+}