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#ifndef lint |
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static const char RCSid[] = "$Id: cone.c,v 2.9 2003/07/27 22:12:01 schorsch Exp $"; |
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#endif |
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/* |
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* cone.c - routines for making cones |
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*/ |
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|
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#include "copyright.h" |
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|
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#include "standard.h" |
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|
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#include "object.h" |
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|
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#include "otypes.h" |
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|
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#include "cone.h" |
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|
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/* |
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* In general, a cone may be any one of a cone, a cylinder, a ring, |
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* a cup (inverted cone), or a tube (inverted cylinder). |
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* Most cones are specified with a starting point and radius and |
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* an ending point and radius. In the cases of a cylinder or tube, |
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* only one radius is needed. In the case of a ring, a normal direction |
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* is specified instead of a second endpoint. |
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* |
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* mtype (cone|cup) name |
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* 0 |
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* 0 |
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* 8 P0x P0y P0z P1x P1y P1z R0 R1 |
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* |
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* mtype (cylinder|tube) name |
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* 0 |
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* 0 |
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* 7 P0x P0y P0z P1x P1y P1z R |
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* |
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* mtype ring name |
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* 0 |
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* 0 |
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* 8 Px Py Pz Nx Ny Nz R0 R1 |
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*/ |
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|
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|
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CONE * |
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getcone( /* get cone structure */ |
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OBJREC *o, |
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int getxf |
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) |
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{ |
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int sgn0, sgn1; |
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CONE *co; |
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|
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if ((co = (CONE *)o->os) == NULL) { |
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|
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co = (CONE *)malloc(sizeof(CONE)); |
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if (co == NULL) |
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error(SYSTEM, "out of memory in makecone"); |
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|
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co->ca = o->oargs.farg; |
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/* get radii */ |
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if ((o->otype == OBJ_CYLINDER) | (o->otype == OBJ_TUBE)) { |
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if (o->oargs.nfargs != 7) |
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goto argcerr; |
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if (co->ca[6] < -FTINY) { |
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objerror(o, WARNING, "negative radius"); |
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o->otype = o->otype == OBJ_CYLINDER ? |
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OBJ_TUBE : OBJ_CYLINDER; |
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co->ca[6] = -co->ca[6]; |
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} else if (co->ca[6] <= FTINY) |
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goto raderr; |
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co->p0 = 0; co->p1 = 3; |
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co->r0 = co->r1 = 6; |
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} else { |
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if (o->oargs.nfargs != 8) |
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goto argcerr; |
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if (co->ca[6] < -FTINY) sgn0 = -1; |
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else if (co->ca[6] > FTINY) sgn0 = 1; |
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else sgn0 = 0; |
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if (co->ca[7] < -FTINY) sgn1 = -1; |
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else if (co->ca[7] > FTINY) sgn1 = 1; |
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else sgn1 = 0; |
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if (sgn0+sgn1 == 0) |
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goto raderr; |
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if ((sgn0 < 0) | (sgn1 < 0)) { |
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objerror(o, o->otype==OBJ_RING?USER:WARNING, |
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"negative radii"); |
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o->otype = o->otype == OBJ_CONE ? |
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OBJ_CUP : OBJ_CONE; |
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} |
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co->ca[6] = co->ca[6]*sgn0; |
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co->ca[7] = co->ca[7]*sgn1; |
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if (co->ca[7] - co->ca[6] > FTINY) { |
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if (o->otype == OBJ_RING) |
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co->p0 = co->p1 = 0; |
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else { |
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co->p0 = 0; co->p1 = 3; |
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} |
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co->r0 = 6; co->r1 = 7; |
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} else if (co->ca[6] - co->ca[7] > FTINY) { |
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if (o->otype == OBJ_RING) |
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co->p0 = co->p1 = 0; |
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else { |
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co->p0 = 3; co->p1 = 0; |
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} |
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co->r0 = 7; co->r1 = 6; |
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} else { |
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if (o->otype == OBJ_RING) |
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goto raderr; |
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o->otype = o->otype == OBJ_CONE ? |
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OBJ_CYLINDER : OBJ_TUBE; |
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o->oargs.nfargs = 7; |
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co->p0 = 0; co->p1 = 3; |
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co->r0 = co->r1 = 6; |
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} |
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} |
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/* get axis orientation */ |
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if (o->otype == OBJ_RING) |
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VCOPY(co->ad, o->oargs.farg+3); |
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else { |
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co->ad[0] = CO_P1(co)[0] - CO_P0(co)[0]; |
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co->ad[1] = CO_P1(co)[1] - CO_P0(co)[1]; |
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co->ad[2] = CO_P1(co)[2] - CO_P0(co)[2]; |
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} |
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co->al = normalize(co->ad); |
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if (co->al == 0.0) { |
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objerror(o, WARNING, "unknown orientation"); |
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free(co); |
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return(NULL); |
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} |
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/* compute axis and side lengths */ |
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if (o->otype == OBJ_RING) { |
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co->al = 0.0; |
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co->sl = CO_R1(co) - CO_R0(co); |
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} else if ((o->otype == OBJ_CONE) | (o->otype == OBJ_CUP)) { |
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co->sl = co->ca[7] - co->ca[6]; |
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co->sl = sqrt(co->sl*co->sl + co->al*co->al); |
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} else { /* OBJ_CYLINDER or OBJ_TUBE */ |
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co->sl = co->al; |
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} |
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co->tm = NULL; |
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o->os = (char *)co; |
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} |
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if (getxf && co->tm == NULL) |
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conexform(co); |
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return(co); |
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|
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argcerr: |
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objerror(o, USER, "bad # arguments"); |
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raderr: |
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objerror(o, WARNING, "illegal radii"); |
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free(co); |
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return(NULL); |
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} |
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|
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|
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void |
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freecone(OBJREC *o) /* free memory associated with cone */ |
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{ |
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CONE *co = (CONE *)o->os; |
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|
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if (co == NULL) |
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return; |
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if (co->tm != NULL) |
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free((void *)co->tm); |
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free((void *)co); |
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o->os = NULL; |
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} |
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|
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|
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void |
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conexform(CONE *co) /* get cone transformation matrix */ |
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{ |
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MAT4 m4; |
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double d; |
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int i; |
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|
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co->tm = (RREAL (*)[4])malloc(sizeof(MAT4)); |
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if (co->tm == NULL) |
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error(SYSTEM, "out of memory in conexform"); |
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|
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/* translate to origin */ |
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setident4(co->tm); |
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if (co->r0 == co->r1) |
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d = 0.0; |
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else |
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d = CO_R0(co) / (CO_R1(co) - CO_R0(co)); |
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for (i = 0; i < 3; i++) |
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co->tm[3][i] = d*(CO_P1(co)[i] - CO_P0(co)[i]) |
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- CO_P0(co)[i]; |
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|
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/* rotate to positive z-axis */ |
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setident4(m4); |
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d = co->ad[1]*co->ad[1] + co->ad[2]*co->ad[2]; |
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if (d <= FTINY*FTINY) { |
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m4[0][0] = 0.0; |
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m4[0][2] = co->ad[0]; |
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m4[2][0] = -co->ad[0]; |
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m4[2][2] = 0.0; |
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} else { |
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d = sqrt(d); |
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m4[0][0] = d; |
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m4[1][0] = -co->ad[0]*co->ad[1]/d; |
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m4[2][0] = -co->ad[0]*co->ad[2]/d; |
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m4[1][1] = co->ad[2]/d; |
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m4[2][1] = -co->ad[1]/d; |
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m4[0][2] = co->ad[0]; |
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m4[1][2] = co->ad[1]; |
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m4[2][2] = co->ad[2]; |
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} |
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multmat4(co->tm, co->tm, m4); |
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|
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/* scale z-axis */ |
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if ((co->p0 != co->p1) & (co->r0 != co->r1)) { |
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setident4(m4); |
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m4[2][2] = (CO_R1(co) - CO_R0(co)) / co->al; |
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multmat4(co->tm, co->tm, m4); |
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} |
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} |