Cody

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

Solution 943365

Submitted on 26 Aug 2016 by Martin C.
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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)

K = 0 xi = 1 yi = 1 d = 2 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)

K = 0 xi = -0.6000 yi = -0.8000 d = 36 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)

K = -0.3333 xi = -0.4400 yi = -0.9200 d = 54.7600 d = 7.4000 ans = 7.4000 K = -0.3333 xi = -0.4400 yi = -0.9200 d = 54.7600 d = 7.4000

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)

d = 12345 ans = 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)

d = 12345 ans = 12345 d = 12345