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00020
00021 #include "btBoxBoxDetector.h"
00022 #include "BulletCollision/CollisionShapes/btBoxShape.h"
00023
00024 #include <float.h>
00025 #include <string.h>
00026
00027 btBoxBoxDetector::btBoxBoxDetector(btBoxShape* box1,btBoxShape* box2)
00028 : m_box1(box1),
00029 m_box2(box2)
00030 {
00031
00032 }
00033
00034
00035
00036
00037
00038
00039
00040
00041
00042
00043
00044
00045
00046
00047
00048
00049
00050 struct dContactGeom;
00051 #define dDOTpq(a,b,p,q) ((a)[0]*(b)[0] + (a)[p]*(b)[q] + (a)[2*(p)]*(b)[2*(q)])
00052 #define dInfinity FLT_MAX
00053
00054
00055
00056
00057
00058
00059
00060 static btScalar dDOT (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,1,1); }
00061 static btScalar dDOT44 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,4,4); }
00062 static btScalar dDOT41 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,4,1); }
00063 static btScalar dDOT14 (const btScalar *a, const btScalar *b) { return dDOTpq(a,b,1,4); }
00064 #define dMULTIPLYOP1_331(A,op,B,C) \
00065 {\
00066 (A)[0] op dDOT41((B),(C)); \
00067 (A)[1] op dDOT41((B+1),(C)); \
00068 (A)[2] op dDOT41((B+2),(C)); \
00069 }
00070
00071 #define dMULTIPLYOP0_331(A,op,B,C) \
00072 { \
00073 (A)[0] op dDOT((B),(C)); \
00074 (A)[1] op dDOT((B+4),(C)); \
00075 (A)[2] op dDOT((B+8),(C)); \
00076 }
00077
00078 #define dMULTIPLY1_331(A,B,C) dMULTIPLYOP1_331(A,=,B,C)
00079 #define dMULTIPLY0_331(A,B,C) dMULTIPLYOP0_331(A,=,B,C)
00080
00081 typedef btScalar dMatrix3[4*3];
00082
00083 void dLineClosestApproach (const btVector3& pa, const btVector3& ua,
00084 const btVector3& pb, const btVector3& ub,
00085 btScalar *alpha, btScalar *beta);
00086 void dLineClosestApproach (const btVector3& pa, const btVector3& ua,
00087 const btVector3& pb, const btVector3& ub,
00088 btScalar *alpha, btScalar *beta)
00089 {
00090 btVector3 p;
00091 p[0] = pb[0] - pa[0];
00092 p[1] = pb[1] - pa[1];
00093 p[2] = pb[2] - pa[2];
00094 btScalar uaub = dDOT(ua,ub);
00095 btScalar q1 = dDOT(ua,p);
00096 btScalar q2 = -dDOT(ub,p);
00097 btScalar d = 1-uaub*uaub;
00098 if (d <= btScalar(0.0001f)) {
00099
00100 *alpha = 0;
00101 *beta = 0;
00102 }
00103 else {
00104 d = 1.f/d;
00105 *alpha = (q1 + uaub*q2)*d;
00106 *beta = (uaub*q1 + q2)*d;
00107 }
00108 }
00109
00110
00111
00112
00113
00114
00115
00116
00117
00118
00119
00120 static int intersectRectQuad2 (btScalar h[2], btScalar p[8], btScalar ret[16])
00121 {
00122
00123
00124 int nq=4,nr=0;
00125 btScalar buffer[16];
00126 btScalar *q = p;
00127 btScalar *r = ret;
00128 for (int dir=0; dir <= 1; dir++) {
00129
00130 for (int sign=-1; sign <= 1; sign += 2) {
00131
00132 btScalar *pq = q;
00133 btScalar *pr = r;
00134 nr = 0;
00135 for (int i=nq; i > 0; i--) {
00136
00137 if (sign*pq[dir] < h[dir]) {
00138
00139 pr[0] = pq[0];
00140 pr[1] = pq[1];
00141 pr += 2;
00142 nr++;
00143 if (nr & 8) {
00144 q = r;
00145 goto done;
00146 }
00147 }
00148 btScalar *nextq = (i > 1) ? pq+2 : q;
00149 if ((sign*pq[dir] < h[dir]) ^ (sign*nextq[dir] < h[dir])) {
00150
00151 pr[1-dir] = pq[1-dir] + (nextq[1-dir]-pq[1-dir]) /
00152 (nextq[dir]-pq[dir]) * (sign*h[dir]-pq[dir]);
00153 pr[dir] = sign*h[dir];
00154 pr += 2;
00155 nr++;
00156 if (nr & 8) {
00157 q = r;
00158 goto done;
00159 }
00160 }
00161 pq += 2;
00162 }
00163 q = r;
00164 r = (q==ret) ? buffer : ret;
00165 nq = nr;
00166 }
00167 }
00168 done:
00169 if (q != ret) memcpy (ret,q,nr*2*sizeof(btScalar));
00170 return nr;
00171 }
00172
00173
00174 #define M__PI 3.14159265f
00175
00176
00177
00178
00179
00180
00181
00182
00183
00184 void cullPoints2 (int n, btScalar p[], int m, int i0, int iret[]);
00185 void cullPoints2 (int n, btScalar p[], int m, int i0, int iret[])
00186 {
00187
00188 int i,j;
00189 btScalar a,cx,cy,q;
00190 if (n==1) {
00191 cx = p[0];
00192 cy = p[1];
00193 }
00194 else if (n==2) {
00195 cx = btScalar(0.5)*(p[0] + p[2]);
00196 cy = btScalar(0.5)*(p[1] + p[3]);
00197 }
00198 else {
00199 a = 0;
00200 cx = 0;
00201 cy = 0;
00202 for (i=0; i<(n-1); i++) {
00203 q = p[i*2]*p[i*2+3] - p[i*2+2]*p[i*2+1];
00204 a += q;
00205 cx += q*(p[i*2]+p[i*2+2]);
00206 cy += q*(p[i*2+1]+p[i*2+3]);
00207 }
00208 q = p[n*2-2]*p[1] - p[0]*p[n*2-1];
00209 if (btFabs(a+q) > SIMD_EPSILON)
00210 {
00211 a = 1.f/(btScalar(3.0)*(a+q));
00212 } else
00213 {
00214 a=BT_LARGE_FLOAT;
00215 }
00216 cx = a*(cx + q*(p[n*2-2]+p[0]));
00217 cy = a*(cy + q*(p[n*2-1]+p[1]));
00218 }
00219
00220
00221 btScalar A[8];
00222 for (i=0; i<n; i++) A[i] = btAtan2(p[i*2+1]-cy,p[i*2]-cx);
00223
00224
00225 int avail[8];
00226 for (i=0; i<n; i++) avail[i] = 1;
00227 avail[i0] = 0;
00228 iret[0] = i0;
00229 iret++;
00230 for (j=1; j<m; j++) {
00231 a = btScalar(j)*(2*M__PI/m) + A[i0];
00232 if (a > M__PI) a -= 2*M__PI;
00233 btScalar maxdiff=1e9,diff;
00234
00235 *iret = i0;
00236
00237 for (i=0; i<n; i++) {
00238 if (avail[i]) {
00239 diff = btFabs (A[i]-a);
00240 if (diff > M__PI) diff = 2*M__PI - diff;
00241 if (diff < maxdiff) {
00242 maxdiff = diff;
00243 *iret = i;
00244 }
00245 }
00246 }
00247 #if defined(DEBUG) || defined (_DEBUG)
00248 btAssert (*iret != i0);
00249 #endif
00250 avail[*iret] = 0;
00251 iret++;
00252 }
00253 }
00254
00255
00256
00257 int dBoxBox2 (const btVector3& p1, const dMatrix3 R1,
00258 const btVector3& side1, const btVector3& p2,
00259 const dMatrix3 R2, const btVector3& side2,
00260 btVector3& normal, btScalar *depth, int *return_code,
00261 int maxc, dContactGeom * , int ,btDiscreteCollisionDetectorInterface::Result& output);
00262 int dBoxBox2 (const btVector3& p1, const dMatrix3 R1,
00263 const btVector3& side1, const btVector3& p2,
00264 const dMatrix3 R2, const btVector3& side2,
00265 btVector3& normal, btScalar *depth, int *return_code,
00266 int maxc, dContactGeom * , int ,btDiscreteCollisionDetectorInterface::Result& output)
00267 {
00268 const btScalar fudge_factor = btScalar(1.05);
00269 btVector3 p,pp,normalC(0.f,0.f,0.f);
00270 const btScalar *normalR = 0;
00271 btScalar A[3],B[3],R11,R12,R13,R21,R22,R23,R31,R32,R33,
00272 Q11,Q12,Q13,Q21,Q22,Q23,Q31,Q32,Q33,s,s2,l;
00273 int i,j,invert_normal,code;
00274
00275
00276 p = p2 - p1;
00277 dMULTIPLY1_331 (pp,R1,p);
00278
00279
00280 A[0] = side1[0]*btScalar(0.5);
00281 A[1] = side1[1]*btScalar(0.5);
00282 A[2] = side1[2]*btScalar(0.5);
00283 B[0] = side2[0]*btScalar(0.5);
00284 B[1] = side2[1]*btScalar(0.5);
00285 B[2] = side2[2]*btScalar(0.5);
00286
00287
00288 R11 = dDOT44(R1+0,R2+0); R12 = dDOT44(R1+0,R2+1); R13 = dDOT44(R1+0,R2+2);
00289 R21 = dDOT44(R1+1,R2+0); R22 = dDOT44(R1+1,R2+1); R23 = dDOT44(R1+1,R2+2);
00290 R31 = dDOT44(R1+2,R2+0); R32 = dDOT44(R1+2,R2+1); R33 = dDOT44(R1+2,R2+2);
00291
00292 Q11 = btFabs(R11); Q12 = btFabs(R12); Q13 = btFabs(R13);
00293 Q21 = btFabs(R21); Q22 = btFabs(R22); Q23 = btFabs(R23);
00294 Q31 = btFabs(R31); Q32 = btFabs(R32); Q33 = btFabs(R33);
00295
00296
00297
00298
00299
00300
00301
00302
00303
00304
00305
00306 #define TST(expr1,expr2,norm,cc) \
00307 s2 = btFabs(expr1) - (expr2); \
00308 if (s2 > 0) return 0; \
00309 if (s2 > s) { \
00310 s = s2; \
00311 normalR = norm; \
00312 invert_normal = ((expr1) < 0); \
00313 code = (cc); \
00314 }
00315
00316 s = -dInfinity;
00317 invert_normal = 0;
00318 code = 0;
00319
00320
00321 TST (pp[0],(A[0] + B[0]*Q11 + B[1]*Q12 + B[2]*Q13),R1+0,1);
00322 TST (pp[1],(A[1] + B[0]*Q21 + B[1]*Q22 + B[2]*Q23),R1+1,2);
00323 TST (pp[2],(A[2] + B[0]*Q31 + B[1]*Q32 + B[2]*Q33),R1+2,3);
00324
00325
00326 TST (dDOT41(R2+0,p),(A[0]*Q11 + A[1]*Q21 + A[2]*Q31 + B[0]),R2+0,4);
00327 TST (dDOT41(R2+1,p),(A[0]*Q12 + A[1]*Q22 + A[2]*Q32 + B[1]),R2+1,5);
00328 TST (dDOT41(R2+2,p),(A[0]*Q13 + A[1]*Q23 + A[2]*Q33 + B[2]),R2+2,6);
00329
00330
00331
00332 #undef TST
00333 #define TST(expr1,expr2,n1,n2,n3,cc) \
00334 s2 = btFabs(expr1) - (expr2); \
00335 if (s2 > SIMD_EPSILON) return 0; \
00336 l = btSqrt((n1)*(n1) + (n2)*(n2) + (n3)*(n3)); \
00337 if (l > SIMD_EPSILON) { \
00338 s2 /= l; \
00339 if (s2*fudge_factor > s) { \
00340 s = s2; \
00341 normalR = 0; \
00342 normalC[0] = (n1)/l; normalC[1] = (n2)/l; normalC[2] = (n3)/l; \
00343 invert_normal = ((expr1) < 0); \
00344 code = (cc); \
00345 } \
00346 }
00347
00348
00349 TST(pp[2]*R21-pp[1]*R31,(A[1]*Q31+A[2]*Q21+B[1]*Q13+B[2]*Q12),0,-R31,R21,7);
00350 TST(pp[2]*R22-pp[1]*R32,(A[1]*Q32+A[2]*Q22+B[0]*Q13+B[2]*Q11),0,-R32,R22,8);
00351 TST(pp[2]*R23-pp[1]*R33,(A[1]*Q33+A[2]*Q23+B[0]*Q12+B[1]*Q11),0,-R33,R23,9);
00352
00353
00354 TST(pp[0]*R31-pp[2]*R11,(A[0]*Q31+A[2]*Q11+B[1]*Q23+B[2]*Q22),R31,0,-R11,10);
00355 TST(pp[0]*R32-pp[2]*R12,(A[0]*Q32+A[2]*Q12+B[0]*Q23+B[2]*Q21),R32,0,-R12,11);
00356 TST(pp[0]*R33-pp[2]*R13,(A[0]*Q33+A[2]*Q13+B[0]*Q22+B[1]*Q21),R33,0,-R13,12);
00357
00358
00359 TST(pp[1]*R11-pp[0]*R21,(A[0]*Q21+A[1]*Q11+B[1]*Q33+B[2]*Q32),-R21,R11,0,13);
00360 TST(pp[1]*R12-pp[0]*R22,(A[0]*Q22+A[1]*Q12+B[0]*Q33+B[2]*Q31),-R22,R12,0,14);
00361 TST(pp[1]*R13-pp[0]*R23,(A[0]*Q23+A[1]*Q13+B[0]*Q32+B[1]*Q31),-R23,R13,0,15);
00362
00363 #undef TST
00364
00365 if (!code) return 0;
00366
00367
00368
00369 if (normalR) {
00370 normal[0] = normalR[0];
00371 normal[1] = normalR[4];
00372 normal[2] = normalR[8];
00373 }
00374 else {
00375 dMULTIPLY0_331 (normal,R1,normalC);
00376 }
00377 if (invert_normal) {
00378 normal[0] = -normal[0];
00379 normal[1] = -normal[1];
00380 normal[2] = -normal[2];
00381 }
00382 *depth = -s;
00383
00384
00385
00386 if (code > 6) {
00387
00388
00389 btVector3 pa;
00390 btScalar sign;
00391 for (i=0; i<3; i++) pa[i] = p1[i];
00392 for (j=0; j<3; j++) {
00393 sign = (dDOT14(normal,R1+j) > 0) ? btScalar(1.0) : btScalar(-1.0);
00394 for (i=0; i<3; i++) pa[i] += sign * A[j] * R1[i*4+j];
00395 }
00396
00397
00398 btVector3 pb;
00399 for (i=0; i<3; i++) pb[i] = p2[i];
00400 for (j=0; j<3; j++) {
00401 sign = (dDOT14(normal,R2+j) > 0) ? btScalar(-1.0) : btScalar(1.0);
00402 for (i=0; i<3; i++) pb[i] += sign * B[j] * R2[i*4+j];
00403 }
00404
00405 btScalar alpha,beta;
00406 btVector3 ua,ub;
00407 for (i=0; i<3; i++) ua[i] = R1[((code)-7)/3 + i*4];
00408 for (i=0; i<3; i++) ub[i] = R2[((code)-7)%3 + i*4];
00409
00410 dLineClosestApproach (pa,ua,pb,ub,&alpha,&beta);
00411 for (i=0; i<3; i++) pa[i] += ua[i]*alpha;
00412 for (i=0; i<3; i++) pb[i] += ub[i]*beta;
00413
00414 {
00415
00416
00417
00418 btVector3 pointInWorld;
00419
00420 #ifdef USE_CENTER_POINT
00421 for (i=0; i<3; i++)
00422 pointInWorld[i] = (pa[i]+pb[i])*btScalar(0.5);
00423 output.addContactPoint(-normal,pointInWorld,-*depth);
00424 #else
00425 output.addContactPoint(-normal,pb,-*depth);
00426
00427 #endif //
00428 *return_code = code;
00429 }
00430 return 1;
00431 }
00432
00433
00434
00435
00436
00437
00438 const btScalar *Ra,*Rb,*pa,*pb,*Sa,*Sb;
00439 if (code <= 3) {
00440 Ra = R1;
00441 Rb = R2;
00442 pa = p1;
00443 pb = p2;
00444 Sa = A;
00445 Sb = B;
00446 }
00447 else {
00448 Ra = R2;
00449 Rb = R1;
00450 pa = p2;
00451 pb = p1;
00452 Sa = B;
00453 Sb = A;
00454 }
00455
00456
00457
00458 btVector3 normal2,nr,anr;
00459 if (code <= 3) {
00460 normal2[0] = normal[0];
00461 normal2[1] = normal[1];
00462 normal2[2] = normal[2];
00463 }
00464 else {
00465 normal2[0] = -normal[0];
00466 normal2[1] = -normal[1];
00467 normal2[2] = -normal[2];
00468 }
00469 dMULTIPLY1_331 (nr,Rb,normal2);
00470 anr[0] = btFabs (nr[0]);
00471 anr[1] = btFabs (nr[1]);
00472 anr[2] = btFabs (nr[2]);
00473
00474
00475
00476
00477 int lanr,a1,a2;
00478 if (anr[1] > anr[0]) {
00479 if (anr[1] > anr[2]) {
00480 a1 = 0;
00481 lanr = 1;
00482 a2 = 2;
00483 }
00484 else {
00485 a1 = 0;
00486 a2 = 1;
00487 lanr = 2;
00488 }
00489 }
00490 else {
00491 if (anr[0] > anr[2]) {
00492 lanr = 0;
00493 a1 = 1;
00494 a2 = 2;
00495 }
00496 else {
00497 a1 = 0;
00498 a2 = 1;
00499 lanr = 2;
00500 }
00501 }
00502
00503
00504 btVector3 center;
00505 if (nr[lanr] < 0) {
00506 for (i=0; i<3; i++) center[i] = pb[i] - pa[i] + Sb[lanr] * Rb[i*4+lanr];
00507 }
00508 else {
00509 for (i=0; i<3; i++) center[i] = pb[i] - pa[i] - Sb[lanr] * Rb[i*4+lanr];
00510 }
00511
00512
00513 int codeN,code1,code2;
00514 if (code <= 3) codeN = code-1; else codeN = code-4;
00515 if (codeN==0) {
00516 code1 = 1;
00517 code2 = 2;
00518 }
00519 else if (codeN==1) {
00520 code1 = 0;
00521 code2 = 2;
00522 }
00523 else {
00524 code1 = 0;
00525 code2 = 1;
00526 }
00527
00528
00529 btScalar quad[8];
00530 btScalar c1,c2,m11,m12,m21,m22;
00531 c1 = dDOT14 (center,Ra+code1);
00532 c2 = dDOT14 (center,Ra+code2);
00533
00534
00535
00536 m11 = dDOT44 (Ra+code1,Rb+a1);
00537 m12 = dDOT44 (Ra+code1,Rb+a2);
00538 m21 = dDOT44 (Ra+code2,Rb+a1);
00539 m22 = dDOT44 (Ra+code2,Rb+a2);
00540 {
00541 btScalar k1 = m11*Sb[a1];
00542 btScalar k2 = m21*Sb[a1];
00543 btScalar k3 = m12*Sb[a2];
00544 btScalar k4 = m22*Sb[a2];
00545 quad[0] = c1 - k1 - k3;
00546 quad[1] = c2 - k2 - k4;
00547 quad[2] = c1 - k1 + k3;
00548 quad[3] = c2 - k2 + k4;
00549 quad[4] = c1 + k1 + k3;
00550 quad[5] = c2 + k2 + k4;
00551 quad[6] = c1 + k1 - k3;
00552 quad[7] = c2 + k2 - k4;
00553 }
00554
00555
00556 btScalar rect[2];
00557 rect[0] = Sa[code1];
00558 rect[1] = Sa[code2];
00559
00560
00561 btScalar ret[16];
00562 int n = intersectRectQuad2 (rect,quad,ret);
00563 if (n < 1) return 0;
00564
00565
00566
00567
00568
00569 btScalar point[3*8];
00570 btScalar dep[8];
00571 btScalar det1 = 1.f/(m11*m22 - m12*m21);
00572 m11 *= det1;
00573 m12 *= det1;
00574 m21 *= det1;
00575 m22 *= det1;
00576 int cnum = 0;
00577 for (j=0; j < n; j++) {
00578 btScalar k1 = m22*(ret[j*2]-c1) - m12*(ret[j*2+1]-c2);
00579 btScalar k2 = -m21*(ret[j*2]-c1) + m11*(ret[j*2+1]-c2);
00580 for (i=0; i<3; i++) point[cnum*3+i] =
00581 center[i] + k1*Rb[i*4+a1] + k2*Rb[i*4+a2];
00582 dep[cnum] = Sa[codeN] - dDOT(normal2,point+cnum*3);
00583 if (dep[cnum] >= 0) {
00584 ret[cnum*2] = ret[j*2];
00585 ret[cnum*2+1] = ret[j*2+1];
00586 cnum++;
00587 }
00588 }
00589 if (cnum < 1) return 0;
00590
00591
00592 if (maxc > cnum) maxc = cnum;
00593 if (maxc < 1) maxc = 1;
00594
00595 if (cnum <= maxc) {
00596
00597 if (code<4)
00598 {
00599
00600 for (j=0; j < cnum; j++)
00601 {
00602 btVector3 pointInWorld;
00603 for (i=0; i<3; i++)
00604 pointInWorld[i] = point[j*3+i] + pa[i];
00605 output.addContactPoint(-normal,pointInWorld,-dep[j]);
00606
00607 }
00608 } else
00609 {
00610
00611 for (j=0; j < cnum; j++)
00612 {
00613 btVector3 pointInWorld;
00614 for (i=0; i<3; i++)
00615 pointInWorld[i] = point[j*3+i] + pa[i]-normal[i]*dep[j];
00616
00617 output.addContactPoint(-normal,pointInWorld,-dep[j]);
00618 }
00619 }
00620 }
00621 else {
00622
00623
00624 int i1 = 0;
00625 btScalar maxdepth = dep[0];
00626 for (i=1; i<cnum; i++) {
00627 if (dep[i] > maxdepth) {
00628 maxdepth = dep[i];
00629 i1 = i;
00630 }
00631 }
00632
00633 int iret[8];
00634 cullPoints2 (cnum,ret,maxc,i1,iret);
00635
00636 for (j=0; j < maxc; j++) {
00637
00638
00639
00640
00641 btVector3 posInWorld;
00642 for (i=0; i<3; i++)
00643 posInWorld[i] = point[iret[j]*3+i] + pa[i];
00644 if (code<4)
00645 {
00646 output.addContactPoint(-normal,posInWorld,-dep[iret[j]]);
00647 } else
00648 {
00649 output.addContactPoint(-normal,posInWorld-normal*dep[iret[j]],-dep[iret[j]]);
00650 }
00651 }
00652 cnum = maxc;
00653 }
00654
00655 *return_code = code;
00656 return cnum;
00657 }
00658
00659 void btBoxBoxDetector::getClosestPoints(const ClosestPointInput& input,Result& output,class btIDebugDraw* ,bool )
00660 {
00661
00662 const btTransform& transformA = input.m_transformA;
00663 const btTransform& transformB = input.m_transformB;
00664
00665 int skip = 0;
00666 dContactGeom *contact = 0;
00667
00668 dMatrix3 R1;
00669 dMatrix3 R2;
00670
00671 for (int j=0;j<3;j++)
00672 {
00673 R1[0+4*j] = transformA.getBasis()[j].x();
00674 R2[0+4*j] = transformB.getBasis()[j].x();
00675
00676 R1[1+4*j] = transformA.getBasis()[j].y();
00677 R2[1+4*j] = transformB.getBasis()[j].y();
00678
00679
00680 R1[2+4*j] = transformA.getBasis()[j].z();
00681 R2[2+4*j] = transformB.getBasis()[j].z();
00682
00683 }
00684
00685
00686
00687 btVector3 normal;
00688 btScalar depth;
00689 int return_code;
00690 int maxc = 4;
00691
00692
00693 dBoxBox2 (transformA.getOrigin(),
00694 R1,
00695 2.f*m_box1->getHalfExtentsWithMargin(),
00696 transformB.getOrigin(),
00697 R2,
00698 2.f*m_box2->getHalfExtentsWithMargin(),
00699 normal, &depth, &return_code,
00700 maxc, contact, skip,
00701 output
00702 );
00703
00704 }