PATH:
usr
/
share
/
doc
/
lua50
/
examples
-- bisection method for solving non-linear equations delta=1e-6 -- tolerance function bisect(f,a,b,fa,fb) local c=(a+b)/2 io.write(n," c=",c," a=",a," b=",b,"\n") if c==a or c==b or math.abs(a-b)<delta then return c,b-a end n=n+1 local fc=f(c) if fa*fc<0 then return bisect(f,a,c,fa,fc) else return bisect(f,c,b,fc,fb) end end -- find root of f in the inverval [a,b]. needs f(a)*f(b)<0 function solve(f,a,b) n=0 local z,e=bisect(f,a,b,f(a),f(b)) io.write(string.format("after %d steps, root is %.17g with error %.1e, f=%.1e\n",n,z,e,f(z))) end -- our function function f(x) return x*x*x-x-1 end -- find zero in [1,2] solve(f,1,2)
[-] fib.lua
[edit]
[-] hello.lua
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[-] trace-calls.lua
[edit]
[-] factorial.lua
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[-] cf.lua
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[-] bisect.lua
[edit]
[-] globals.lua
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[-] undefined.lua
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[-] README
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[-] trace-globals.lua
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[-] readonly.lua
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[-] printf.lua
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[-] sieve.lua
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[-] table.lua
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[+]
..
[-] sort.lua
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[-] luac.lua
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[-] env.lua
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[-] xd.lua
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[-] life.lua
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[-] echo.lua
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[-] fibfor.lua
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