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      1 /*
      2 **
      3 ** Copyright 2007, The Android Open Source Project
      4 **
      5 ** Licensed under the Apache License, Version 2.0 (the "License");
      6 ** you may not use this file except in compliance with the License.
      7 ** You may obtain a copy of the License at
      8 **
      9 **     http://www.apache.org/licenses/LICENSE-2.0
     10 **
     11 ** Unless required by applicable law or agreed to in writing, software
     12 ** distributed under the License is distributed on an "AS IS" BASIS,
     13 ** WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     14 ** See the License for the specific language governing permissions and
     15 ** limitations under the License.
     16 */
     17 
     18 /*
     19  * Generic Convex Polygon Scan Conversion and Clipping
     20  * by Paul Heckbert
     21  * from "Graphics Gems", Academic Press, 1990
     22  */
     23 
     24 /* Based on the public domain code:
     25  * poly_clip.c: homogeneous 3-D convex polygon clipper
     26  *
     27  * Paul Heckbert	1985, Dec 1989
     28  */
     29 
     30 #include "poly.h"
     31 #include "string.h"
     32 
     33 #define LOG_TAG "StreetView"
     34 #include <utils/Log.h>
     35 
     36 namespace android {
     37 
     38 #define SWAP(a, b, temp)	{temp = a; a = b; b = temp;}
     39 #define COORD(vert, i) ((float *)(vert))[i]
     40 
     41 #define CLIP_AND_SWAP(elem, sign, k, p, q, r) { \
     42     poly_clip_to_halfspace(p, q, &v->elem-(float *)v, sign, sign*k); \
     43     if (q->n==0) {p1->n = 0; return POLY_CLIP_OUT;} \
     44     SWAP(p, q, r); \
     45 }
     46 
     47 /*
     48  * poly_clip_to_halfspace: clip convex polygon p against a plane,
     49  * copying the portion satisfying sign*s[index] < k*sw into q,
     50  * where s is a Poly_vert* cast as a float*.
     51  * index is an index into the array of floats at each vertex, such that
     52  * s[index] is sx, sy, or sz (screen space x, y, or z).
     53  * Thus, to clip against xmin, use
     54  *	poly_clip_to_halfspace(p, q, XINDEX, -1., -xmin);
     55  * and to clip against xmax, use
     56  *	poly_clip_to_halfspace(p, q, XINDEX,  1.,  xmax);
     57  */
     58 
     59 void poly_clip_to_halfspace(Poly* p, Poly* q, int index, float sign, float k)
     60 {
     61     unsigned long m;
     62     float *up, *vp, *wp;
     63     Poly_vert *v;
     64     int i;
     65     Poly_vert *u;
     66     float t, tu, tv;
     67 
     68     q->n = 0;
     69 
     70     /* start with u=vert[n-1], v=vert[0] */
     71     u = &p->vert[p->n-1];
     72     tu = sign*COORD(u, index) - u->sw*k;
     73     for (v= &p->vert[0], i=p->n; i>0; i--, u=v, tu=tv, v++) {
     74 	/* on old polygon (p), u is previous vertex, v is current vertex */
     75 	/* tv is negative if vertex v is in */
     76 	tv = sign*COORD(v, index) - v->sw*k;
     77 	if ((tu <= 0.0f) ^ (tv <= 0.0f)) {
     78 	    /* edge crosses plane; add intersection point to q */
     79 	    t = tu/(tu-tv);
     80 	    up = (float *)u;
     81 	    vp = (float *)v;
     82 	    wp = (float *)&q->vert[q->n].sx;
     83 		for(int i = 0; i < 4; i++, wp++, up++, vp++) {
     84 			*wp = *up+t*(*vp-*up);
     85 		}
     86 	    q->n++;
     87 	}
     88 	if (tv<=0.0f)		/* vertex v is in, copy it to q */
     89 	    q->vert[q->n++] = *v;
     90     }
     91 }
     92 
     93 /*
     94  * poly_clip_to_frustum: Clip the convex polygon p1 to the screen space frustum
     95  * using the homogeneous screen coordinates (sx, sy, sz, sw) of each vertex,
     96  * testing if v->sx/v->sw > box->x0 and v->sx/v->sw < box->x1,
     97  * and similar tests for y and z, for each vertex v of the polygon.
     98  * If polygon is entirely inside box, then POLY_CLIP_IN is returned.
     99  * If polygon is entirely outside box, then POLY_CLIP_OUT is returned.
    100  * Otherwise, if the polygon is cut by the box, p1 is modified and
    101  * POLY_CLIP_PARTIAL is returned.
    102  *
    103  * Given an n-gon as input, clipping against 6 planes could generate an
    104  * (n+6)gon, so POLY_NMAX in poly.h must be big enough to allow that.
    105  */
    106 
    107 int poly_clip_to_frustum(Poly *p1)
    108 {
    109     int x0out = 0, x1out = 0, y0out = 0, y1out = 0, z0out = 0, z1out = 0;
    110     int i;
    111     Poly_vert *v;
    112     Poly p2, *p, *q, *r;
    113 
    114     /* count vertices "outside" with respect to each of the six planes */
    115     for (v=p1->vert, i=p1->n; i>0; i--, v++) {
    116 		float sw = v->sw;
    117 		if (v->sx < -sw) x0out++;	/* out on left */
    118 		if (v->sx > sw) x1out++;	/* out on right */
    119 		if (v->sy < -sw) y0out++;	/* out on top */
    120 		if (v->sy > sw) y1out++;	/* out on bottom */
    121 		if (v->sz < -sw) z0out++;	/* out on near */
    122 		if (v->sz > sw) z1out++;	/* out on far */
    123     }
    124 
    125     /* check if all vertices inside */
    126     if (x0out+x1out+y0out+y1out+z0out+z1out == 0)
    127     	return POLY_CLIP_IN;
    128 
    129     /* check if all vertices are "outside" any of the six planes */
    130     if (x0out==p1->n || x1out==p1->n || y0out==p1->n ||
    131 	y1out==p1->n || z0out==p1->n || z1out==p1->n) {
    132 	    p1->n = 0;
    133 	    return POLY_CLIP_OUT;
    134 	}
    135 
    136     /*
    137      * now clip against each of the planes that might cut the polygon,
    138      * at each step toggling between polygons p1 and p2
    139      */
    140     p = p1;
    141     q = &p2;
    142     if (x0out) CLIP_AND_SWAP(sx, -1.0f, -1.0f, p, q, r);
    143     if (x1out) CLIP_AND_SWAP(sx,  1.0f, 1.0f, p, q, r);
    144     if (y0out) CLIP_AND_SWAP(sy, -1.0f, -1.0f, p, q, r);
    145     if (y1out) CLIP_AND_SWAP(sy,  1.0f, 1.0f, p, q, r);
    146     if (z0out) CLIP_AND_SWAP(sz, -1.0f, -1.0f, p, q, r);
    147     if (z1out) CLIP_AND_SWAP(sz,  1.0f, 1.0f, p, q, r);
    148 
    149     /* if result ended up in p2 then copy it to p1 */
    150     if (p==&p2)
    151 	memcpy(p1, &p2, sizeof(Poly)-(POLY_NMAX-p2.n)*sizeof(Poly_vert));
    152     return POLY_CLIP_PARTIAL;
    153 }
    154 
    155 } // namespace android
    156