diff options
Diffstat (limited to 'mesalib/src/glu/sgi/libnurbs/interface/bezierEval.cc')
-rw-r--r-- | mesalib/src/glu/sgi/libnurbs/interface/bezierEval.cc | 260 |
1 files changed, 0 insertions, 260 deletions
diff --git a/mesalib/src/glu/sgi/libnurbs/interface/bezierEval.cc b/mesalib/src/glu/sgi/libnurbs/interface/bezierEval.cc deleted file mode 100644 index b414f535f..000000000 --- a/mesalib/src/glu/sgi/libnurbs/interface/bezierEval.cc +++ /dev/null @@ -1,260 +0,0 @@ -/* -** License Applicability. Except to the extent portions of this file are -** made subject to an alternative license as permitted in the SGI Free -** Software License B, Version 1.1 (the "License"), the contents of this -** file are subject only to the provisions of the License. You may not use -** this file except in compliance with the License. You may obtain a copy -** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600 -** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at: -** -** http://oss.sgi.com/projects/FreeB -** -** Note that, as provided in the License, the Software is distributed on an -** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS -** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND -** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A -** PARTICULAR PURPOSE, AND NON-INFRINGEMENT. -** -** Original Code. The Original Code is: OpenGL Sample Implementation, -** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics, -** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc. -** Copyright in any portions created by third parties is as indicated -** elsewhere herein. All Rights Reserved. -** -** Additional Notice Provisions: The application programming interfaces -** established by SGI in conjunction with the Original Code are The -** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released -** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version -** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X -** Window System(R) (Version 1.3), released October 19, 1998. This software -** was created using the OpenGL(R) version 1.2.1 Sample Implementation -** published by SGI, but has not been independently verified as being -** compliant with the OpenGL(R) version 1.2.1 Specification. -** -*/ -/* -*/ - -#include <stdlib.h> -#include <stdio.h> -#include <assert.h> -#include <math.h> -#include "bezierEval.h" - -#ifdef __WATCOMC__ -#pragma warning 14 10 -#endif - -#define TOLERANCE 0.0001 - -#ifndef MAX_ORDER -#define MAX_ORDER 16 -#endif - -#ifndef MAX_DIMENSION -#define MAX_DIMENSION 4 -#endif - -static void normalize(float vec[3]); -static void crossProduct(float x[3], float y[3], float ret[3]); -#if 0 // UNUSED -static void bezierCurveEvalfast(float u0, float u1, int order, float *ctlpoints, int stride, int dimension, float u, float retpoint[]); -#endif - -static float binomialCoefficients[8][8] = { - {1,0,0,0,0,0,0,0}, - {1,1,0,0,0,0,0,0}, - {1,2,1,0,0,0,0,0}, - {1,3,3,1,0,0,0,0}, - {1,4,6,4,1,0,0,0}, - {1,5,10,10,5,1,0,0}, - {1,6,15,20,15,6,1,0}, - {1,7,21,35,35,21,7,1} -}; - -void bezierCurveEval(float u0, float u1, int order, float *ctlpoints, int stride, int dimension, float u, float retpoint[]) -{ - float uprime = (u-u0)/(u1-u0); - float *ctlptr = ctlpoints; - float oneMinusX = 1.0f-uprime; - float XPower = 1.0f; - - int i,k; - for(k=0; k<dimension; k++) - retpoint[k] = (*(ctlptr + k)); - - for(i=1; i<order; i++){ - ctlptr += stride; - XPower *= uprime; - for(k=0; k<dimension; k++) { - retpoint[k] = retpoint[k]*oneMinusX + ctlptr[k]* binomialCoefficients[order-1][i] * XPower; - } - } -} - - -#if 0 // UNUSED -/*order = degree +1 >=1. - */ -void bezierCurveEvalfast(float u0, float u1, int order, float *ctlpoints, int stride, int dimension, float u, float retpoint[]) -{ - float uprime = (u-u0)/(u1-u0); - float buf[MAX_ORDER][MAX_ORDER][MAX_DIMENSION]; - float* ctlptr = ctlpoints; - int r, i,j; - for(i=0; i<order; i++) { - for(j=0; j<dimension; j++) - buf[0][i][j] = ctlptr[j]; - ctlptr += stride; - } - for(r=1; r<order; r++){ - for(i=0; i<order-r; i++) { - for(j=0; j<dimension; j++) - buf[r][i][j] = (1-uprime)*buf[r-1][i][j] + uprime*buf[r-1][i+1][j]; - } - } - - for(j=0; j<dimension; j++) - retpoint[j] = buf[order-1][0][j]; -} -#endif - - -/*order = degree +1 >=1. - */ -void bezierCurveEvalDer(float u0, float u1, int order, float *ctlpoints, int stride, int dimension, float u, float retDer[]) -{ - int i,k; - float width = u1-u0; - float *ctlptr = ctlpoints; - - float buf[MAX_ORDER][MAX_DIMENSION]; - if(order == 1){ - for(k=0; k<dimension; k++) - retDer[k]=0; - } - for(i=0; i<order-1; i++){ - for(k=0; k<dimension; k++) { - buf[i][k] = (ctlptr[stride+k] - ctlptr[k])*(order-1)/width; - } - ctlptr += stride; - } - - bezierCurveEval(u0, u1, order-1, (float*) buf, MAX_DIMENSION, dimension, u, retDer); -} - -void bezierCurveEvalDerGen(int der, float u0, float u1, int order, float *ctlpoints, int stride, int dimension, float u, float retDer[]) -{ - int i,k,r; - float *ctlptr = ctlpoints; - float width=u1-u0; - float buf[MAX_ORDER][MAX_ORDER][MAX_DIMENSION]; - if(der<0) der=0; - for(i=0; i<order; i++){ - for(k=0; k<dimension; k++){ - buf[0][i][k] = ctlptr[k]; - } - ctlptr += stride; - } - - - for(r=1; r<=der; r++){ - for(i=0; i<order-r; i++){ - for(k=0; k<dimension; k++){ - buf[r][i][k] = (buf[r-1][i+1][k] - buf[r-1][i][k])*(order-r)/width; - } - } - } - - bezierCurveEval(u0, u1, order-der, (float *) (buf[der]), MAX_DIMENSION, dimension, u, retDer); -} - -/*the Bezier bivarite polynomial is: - * sum[i:0,uorder-1][j:0,vorder-1] { ctlpoints[i*ustride+j*vstride] * B(i)*B(j) - * where B(i) and B(j) are basis functions - */ -void bezierSurfEvalDerGen(int uder, int vder, float u0, float u1, int uorder, float v0, float v1, int vorder, int dimension, float *ctlpoints, int ustride, int vstride, float u, float v, float ret[]) -{ - int i; - float newPoints[MAX_ORDER][MAX_DIMENSION]; - - for(i=0; i<uorder; i++){ - - bezierCurveEvalDerGen(vder, v0, v1, vorder, ctlpoints+ustride*i, vstride, dimension, v, newPoints[i]); - - } - - bezierCurveEvalDerGen(uder, u0, u1, uorder, (float *) newPoints, MAX_DIMENSION, dimension, u, ret); -} - - -/*division by w is performed*/ -void bezierSurfEval(float u0, float u1, int uorder, float v0, float v1, int vorder, int dimension, float *ctlpoints, int ustride, int vstride, float u, float v, float ret[]) -{ - bezierSurfEvalDerGen(0, 0, u0, u1, uorder, v0, v1, vorder, dimension, ctlpoints, ustride, vstride, u, v, ret); - if(dimension == 4) /*homogeneous*/{ - ret[0] /= ret[3]; - ret[1] /= ret[3]; - ret[2] /= ret[3]; - } -} - -void bezierSurfEvalNormal(float u0, float u1, int uorder, float v0, float v1, int vorder, int dimension, float *ctlpoints, int ustride, int vstride, float u, float v, float retNormal[]) -{ - float partialU[4]; - float partialV[4]; - assert(dimension>=3 && dimension <=4); - bezierSurfEvalDerGen(1,0, u0, u1, uorder, v0, v1, vorder, dimension, ctlpoints, ustride, vstride, u, v, partialU); - bezierSurfEvalDerGen(0,1, u0, u1, uorder, v0, v1, vorder, dimension, ctlpoints, ustride, vstride, u, v, partialV); - - if(dimension == 3){/*inhomogeneous*/ - crossProduct(partialU, partialV, retNormal); - - normalize(retNormal); - - return; - } - else { /*homogeneous*/ - float val[4]; /*the point coordinates (without derivative)*/ - float newPartialU[MAX_DIMENSION]; - float newPartialV[MAX_DIMENSION]; - int i; - bezierSurfEvalDerGen(0,0, u0, u1, uorder, v0, v1, vorder, dimension, ctlpoints, ustride, vstride, u, v, val); - - for(i=0; i<=2; i++){ - newPartialU[i] = partialU[i] * val[3] - val[i] * partialU[3]; - newPartialV[i] = partialV[i] * val[3] - val[i] * partialV[3]; - } - crossProduct(newPartialU, newPartialV, retNormal); - normalize(retNormal); - } -} - -/*if size is 0, then nothing is done*/ -static void normalize(float vec[3]) -{ - float size = (float)sqrt(vec[0]*vec[0] + vec[1]*vec[1] + vec[2]*vec[2]); - - if(size < TOLERANCE) - { -#ifdef DEBUG - fprintf(stderr, "Warning: in oglBSpline.c normal is 0\n"); -#endif - return; - } - else { - vec[0] = vec[0]/size; - vec[1] = vec[1]/size; - vec[2] = vec[2]/size; - } -} - - -static void crossProduct(float x[3], float y[3], float ret[3]) -{ - ret[0] = x[1]*y[2] - y[1]*x[2]; - ret[1] = x[2]*y[0] - y[2]*x[0]; - ret[2] = x[0]*y[1] - y[0]*x[1]; - -} - |