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- #pragma lib "libgeometry.a"
- #pragma src "/sys/src/libgeometry"
- typedef double Matrix[4][4];
- typedef struct Point3 Point3;
- typedef struct Quaternion Quaternion;
- typedef struct Space Space;
- struct Point3{
- double x, y, z, w;
- };
- struct Quaternion{
- double r, i, j, k;
- };
- struct Space{
- Matrix t;
- Matrix tinv;
- Space *next;
- };
- /*
- * 3-d point arithmetic
- */
- Point3 add3(Point3 a, Point3 b);
- Point3 sub3(Point3 a, Point3 b);
- Point3 neg3(Point3 a);
- Point3 div3(Point3 a, double b);
- Point3 mul3(Point3 a, double b);
- int eqpt3(Point3 p, Point3 q);
- int closept3(Point3 p, Point3 q, double eps);
- double dot3(Point3 p, Point3 q);
- Point3 cross3(Point3 p, Point3 q);
- double len3(Point3 p);
- double dist3(Point3 p, Point3 q);
- Point3 unit3(Point3 p);
- Point3 midpt3(Point3 p, Point3 q);
- Point3 lerp3(Point3 p, Point3 q, double alpha);
- Point3 reflect3(Point3 p, Point3 p0, Point3 p1);
- Point3 nearseg3(Point3 p0, Point3 p1, Point3 testp);
- double pldist3(Point3 p, Point3 p0, Point3 p1);
- double vdiv3(Point3 a, Point3 b);
- Point3 vrem3(Point3 a, Point3 b);
- Point3 pn2f3(Point3 p, Point3 n);
- Point3 ppp2f3(Point3 p0, Point3 p1, Point3 p2);
- Point3 fff2p3(Point3 f0, Point3 f1, Point3 f2);
- Point3 pdiv4(Point3 a);
- Point3 add4(Point3 a, Point3 b);
- Point3 sub4(Point3 a, Point3 b);
- /*
- * Quaternion arithmetic
- */
- void qtom(Matrix, Quaternion);
- Quaternion mtoq(Matrix);
- Quaternion qadd(Quaternion, Quaternion);
- Quaternion qsub(Quaternion, Quaternion);
- Quaternion qneg(Quaternion);
- Quaternion qmul(Quaternion, Quaternion);
- Quaternion qdiv(Quaternion, Quaternion);
- Quaternion qunit(Quaternion);
- Quaternion qinv(Quaternion);
- double qlen(Quaternion);
- Quaternion slerp(Quaternion, Quaternion, double);
- Quaternion qmid(Quaternion, Quaternion);
- Quaternion qsqrt(Quaternion);
- void qball(Rectangle, Mouse *, Quaternion *, void (*)(void), Quaternion *);
- /*
- * Matrix arithmetic
- */
- void ident(Matrix);
- void matmul(Matrix, Matrix);
- void matmulr(Matrix, Matrix);
- double determinant(Matrix);
- void adjoint(Matrix, Matrix);
- double invertmat(Matrix, Matrix);
- /*
- * Space stack routines
- */
- Space *pushmat(Space *);
- Space *popmat(Space *);
- void rot(Space *, double, int);
- void qrot(Space *, Quaternion);
- void scale(Space *, double, double, double);
- void move(Space *, double, double, double);
- void xform(Space *, Matrix);
- void ixform(Space *, Matrix, Matrix);
- void look(Space *, Point3, Point3, Point3);
- int persp(Space *, double, double, double);
- void viewport(Space *, Rectangle, double);
- Point3 xformpoint(Point3, Space *, Space *);
- Point3 xformpointd(Point3, Space *, Space *);
- Point3 xformplane(Point3, Space *, Space *);
- #define radians(d) ((d)*.01745329251994329572)
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