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41 lines
983 B
Matlab
41 lines
983 B
Matlab
function [xList, errorList] = FalsePosition(f, p0, p1, errorAllowed)
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%
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%FalsePosition(f, p0, p1, errorAllowed)
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%This function finds the root of a function using the method of False Position
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%
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%Make sure the number of arguments is correct
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if(nargin ~= 4)
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error('That is an incorrect number of arguments')
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end
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%A few necesary before we begin
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pkg load symbolic;
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warning('off','OctSymPy:sym:rationalapprox');
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%Constant variables
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maxIt = 50;
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%Variables
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cnt = 2;
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q0 = double(subs(f,p0));
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q1 = double(subs(f,p1));
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p = 0;
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q = 0;
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currentError = errorAllowed + 1;
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%Loop until you find a value within the error or you reach the maximum number of itterations
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while((cnt <= maxIt) && (currentError >= errorAllowed))
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p = p1 - (q1 * (p1 - p0))/(q1 - q0);
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currentError = abs(p - p1);
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%Add Values to lists
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xList(end+1) = p;
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errorList(end+1) = currentError;
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++cnt;
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q = double(subs(f,p));
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if((q * q1) < 0)
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p0 = p1;
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q0 = q1;
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end
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p1 = p;
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q1 = q;
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end
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end
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