kzc_solve.h File Reference

Equation solving utilities. More...

#include <system/wrappers/kzs_math.h>
#include <system/kzs_types.h>
#include <system/kzs_header.h>

Functions
KZ_HEADER_BEGIN kzBool	kzcSolveFirstOrderFunctionPair (kzFloat a, kzFloat b, kzFloat c, kzFloat d, kzFloat e, kzFloat f, kzFloat *out_x, kzFloat *out_y)
	Solves a first-order equation pair. More...
KZ_INLINE void	kzcSolveNormalizedQuadratic (kzFloat P, kzFloat Q, kzBool *out_solutions, kzFloat *out_solution1, kzFloat *out_solution2)
	Solves a quadratic of form x^2 + P x + Q = 0. More...
KZ_INLINE void	kzcSolveQuadratic (kzFloat A, kzFloat B, kzFloat C, kzBool *out_solutions, kzFloat *out_solution1, kzFloat *out_solution2)
	Solves a quadratic of form Ax^2 + Bx + C = 0. More...

Detailed Description

Equation solving utilities.

Copyright 2008-2020 by Rightware. All rights reserved.

Function Documentation

KZ_HEADER_BEGIN kzBool kzcSolveFirstOrderFunctionPair	(	kzFloat	a,
		kzFloat	b,
		kzFloat	c,
		kzFloat	d,
		kzFloat	e,
		kzFloat	f,
		kzFloat *	out_x,
		kzFloat *	out_y
	)

Solves a first-order equation pair.

The equations would be in the form: a + xb + yc = 0 d + xe + yf = 0 abcdef are known, solve x and y.

KZ_INLINE void kzcSolveNormalizedQuadratic	(	kzFloat	P,
		kzFloat	Q,
		kzBool *	out_solutions,
		kzFloat *	out_solution1,
		kzFloat *	out_solution2
	)

Solves a quadratic of form x^2 + P x + Q = 0.

Avoids losing precision unnecessarily.

If there are no solutions, out_solutions will be KZ_FALSE. Otherwise, out_solution1 will be the smaller solution and out_solution2 will be the greater solution.

KZ_INLINE void kzcSolveQuadratic	(	kzFloat	A,
		kzFloat	B,
		kzFloat	C,
		kzBool *	out_solutions,
		kzFloat *	out_solution1,
		kzFloat *	out_solution2
	)

Solves a quadratic of form Ax^2 + Bx + C = 0.

Avoids losing precision unnecessarily.

If there are no solutions, out_solutions will be KZ_FALSE. Otherwise, out_solution1 will be the smaller solution and out_solution2 will be the greater solution.