ref: b904edadd8869787b4419ce93c1c29b5beee3556
dir: /sys/include/geometry.h/
#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)