Cody

# Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Solution 2156956

Submitted on 11 Mar 2020 by Søren Holm-Petersen
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### Test Suite

Test Status Code Input and Output
1   Pass
x=2; y=2; A=2; B=2; C=-4; y_correct = 1.4142; assert(abs(normalLen(x,y,A,B,C)-y_correct)<=1e-4)

l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = -0.5000 e = 1 1 d = 1.4142

2   Pass
x=3; y=4; A=3; B=4; C=5; y_correct = 6; assert(normalLen(x,y,A,B,C)-y_correct==0)

l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0.1500 e = 3.6000 4.8000 d = 6

3   Pass
x=4; y=5; A=3; B=4; C=5; y_correct = 7.4; display(normalLen(x,y,A,B,C)) assert(abs(normalLen(x,y,A,B,C)-y_correct)<1e-1)

l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0.1900 e = 4.7600 5.6800 d = 7.4108 7.4108 l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0.1900 e = 4.7600 5.6800 d = 7.4108

4   Pass
x=0;y=12345;A=0;B=1;C=0; y_correct = 12345; display(normalLen(x,y,A,B,C)) assert(abs(normalLen(x,y,A,B,C)-y_correct)==0)

l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0 e = 0 12345 d = 12345 12345 l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0 e = 0 12345 d = 12345

5   Pass
x=0;y=-12345;A=0;B=1;C=0; y_correct = 12345; display(normalLen(x,y,A,B,C)) assert(abs(normalLen(x,y,A,B,C)-y_correct)==0)

l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0 e = 0 -12345 d = 12345 12345 l = function_handle with value: @(t)[0;-C/B]+t*[-B;A] th = 0 e = 0 -12345 d = 12345