Cody

# Problem 45315. Find the point of intersection of tangents.

Solution 2137312

Submitted on 22 Feb 2020 by Tim
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### Test Suite

Test Status Code Input and Output
1   Pass
eps = 4.9999*10^(-8); [x,y]=intersection_of_tangents(0,1,[1,1],[0,0]) indicator = (x^2+(y-1)^2)<eps; assert(indicator)

x = 0 y = 1 x = 0 y = 1

2   Pass
eps = 4.9999*10^(-8); [x,y]=intersection_of_tangents(0,1,[1,1],[1,-1]) assert(x==inf)

[Warning: Matrix is singular to working precision.] [> In intersection_of_tangents (line 5) In ScoringEngineTestPoint2 (line 2) In solutionTest (line 5) In matlab.unittest.internal.executeCodeBlock (line 11) In matlab.unittest.internal/ScriptTestCaseProvider/evaluateTestSection (line 134) In matlab.unittest.internal/ScriptTestCaseProvider/runTestSection (line 128) In matlab.unittest.internal.ScriptTestCaseProvider>@(testCase)provider.runTestSection(testCase) (line 94) In matlab.unittest/FunctionTestCase/test (line 96) In matlab.unittest/TestRunner/evaluateMethodCore (line 870) In matlab.unittest/TestRunner/evaluateMethod (line 1186) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest.plugins/TestRunnerPlugin/evaluateMethod (line 729) In scoringengine/OutputPlugin/evaluateMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/evaluateMethod (line 729) In scoringengine/FiguresPlugin/evaluateMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/evaluateMethodsOnTestContent (line 812) In matlab.unittest/TestRunner/runTestMethod (line 1182) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest.plugins/TestRunnerPlugin/runTestMethod (line 648) In scoringengine/OutputPlugin/runTestMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/runTestMethod (line 648) In scoringengine/FiguresPlugin/runTestMethod In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/runTest (line 1129) In matlab.unittest/TestRunner/repeatTest (line 516) In matlab.unittest/TestRunner/runSharedTestCase (line 472) In matlab.unittest/TestRunner/runTestClass (line 1039) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/runTestSuite (line 976) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest.plugins/TestRunnerPlugin/runTestSuite (line 265) In scoringengine/OutputPlugin/runTestSuite In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/runTestSuite (line 265) In scoringengine/FiguresPlugin/runTestSuite In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest.plugins/TestRunnerPlugin/runTestSuite (line 265) In matlab.unittest.plugins/DiagnosticsRecordingPlugin/runTestSuite (line 199) In matlab.unittest.plugins/TestRunnerPlugin/invokeTestContentOperatorMethod_ (line 760) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/evaluateMethodOnPluginsFromMethodName (line 426) In matlab.unittest.internal/SerialTestRunStrategy/runSession (line 21) In matlab.unittest/TestRunner/runSession (line 937) In matlab.unittest/TestRunner/invokeTestContentOperatorMethod_ (line 925) In matlab.unittest/TestRunner/evaluateMethodOnPlugins (line 438) In matlab.unittest/TestRunner/evaluateMethodOnPluginsFromMethodName (line 426) In matlab.unittest/TestRunner/doRunWithFcn (line 409) In matlab.unittest/TestRunner/run (line 297) In scoringengine.verifyCode In scoringengine.verifyCode In connector.internal.fevalMatlab In connector.internal.fevalJSON ] x = -Inf y = NaN x = Inf y = NaN

3   Pass
eps = 4.9999*10^(-8); [x,y]=intersection_of_tangents(1,1/2,[1/2,1],[1/2,-1]) indicator = ((x+1/2)^2+y^2)<eps; assert(indicator)

x = -0.5000 y = 0 x = -0.5000 y = 0

4   Pass
eps = 4.9999*10^(-8); [x,y]=intersection_of_tangents(sqrt(2),1/(1+sqrt(2)),[1,sqrt(3)],[1,-sqrt(3)]) indicator = ((x+1/2)^2+y^2)<eps; assert(indicator)

x = -0.5000 y = 0 x = -0.5000 y = 0

5   Pass
eps = 4.9999*10^(-8); [x,y]=intersection_of_tangents(sqrt(2),1/(1+sqrt(2)),[-3,sqrt(3)],[-3,-sqrt(3)]) indicator = ((x+1.5)^2+y^2)<eps; assert(indicator)

x = -1.5000 y = 0 x = -1.5000 y = 0

6   Pass
eps = 4.9999*10^(-8); [x,y]=intersection_of_tangents(sqrt(2),0, [1,1],[-1,1]) indicator = (x^2+y^2)<eps; assert(indicator)

x = 0 y = -4.4409e-16 x = 0 y = -4.4409e-16

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