Lines Matching +full:- +full:f

1 -- bisection method for solving non-linear equations
3 delta=1e-6	-- tolerance
5 function bisect(f,a,b,fa,fb)
8  if c==a or c==b or math.abs(a-b)<delta then return c,b-a end
10  local fc=f(c)
11  if fa*fc<0 then return bisect(f,a,c,fa,fc) else return bisect(f,c,b,fc,fb) end
14 -- find root of f in the inverval [a,b]. needs f(a)*f(b)<0
15 function solve(f,a,b)
17  local z,e=bisect(f,a,b,f(a),f(b))
18  io.write(string.format("after %d steps, root is %.17g with error %.1e, f=%.1e\n",n,z,e,f(z)))
21 -- our function
22 function f(x)  function
23  return x*x*x-x-1
26 -- find zero in [1,2]
27 solve(f,1,2)