string ScoreString(float vflags, float value);
+float dotproduct(vector a, vector b);
vector cross(vector a, vector b);
void compressShortVector_init();
// z = 1 if a real solution exists, 0 if not
// if no real solution exists, x contains the real part and y the imaginary part of the complex solutions x+iy and x-iy
+vector solve_shotdirection(vector myorg, vector myvel, vector eorg, vector evel, float spd, float newton_style);
+vector get_shotvelocity(vector myvel, vector mydir, float spd, float newton_style, float mi, float ma);
+
void check_unacceptable_compiler_bugs();
float compressShotOrigin(vector v);
// execute-stuff-next-frame subsystem
void execute_next_frame();
void queue_to_execute_next_frame(string s);
+
+// for marking written-to values as unused where it's a good idea to do this
+noref float unused_float;
+
+
+
+// a function f with:
+// f(0) = 0
+// f(1) = 1
+// f'(0) = startspeedfactor
+// f'(1) = endspeedfactor
+float cubic_speedfunc(float startspeedfactor, float endspeedfactor, float x);
+
+// checks whether f'(x) = 0 anywhere from 0 to 1
+// because if this is the case, the function is not usable for platforms
+// as it may exceed 0..1 bounds, or go in reverse
+float cubic_speedfunc_is_sane(float startspeedfactor, float endspeedfactor);
+
+typedef entity(entity cur, entity near, entity pass) findNextEntityNearFunction_t;
+typedef float(entity a, entity b, entity pass) isConnectedFunction_t;
+void FindConnectedComponent(entity e, .entity fld, findNextEntityNearFunction_t nxt, isConnectedFunction_t iscon, entity pass);