Cody

# Problem 1465. Generalized Laguerre polynomials

Solution 1961668

Submitted on 6 Oct 2019
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
user_solution = fileread('genLaguerrePoly.m'); assert(isempty(strfind(user_solution,'regexp'))); assert(isempty(strfind(user_solution,'2str'))); assert(isempty(strfind(user_solution,'str2'))); assert(isempty(strfind(user_solution,'interp'))); assert(isempty(strfind(user_solution,'printf'))); assert(isempty(strfind(user_solution,'assert')));

2   Pass
n = 0; a = 0; P_correct = [1]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = 1

3   Pass
n = 1; a = 0; P_correct = [-1 1]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = -1 1

4   Pass
n = 2; a = 0; P_correct = [1 -4 2]/2; assert(isequal(round(genLaguerrePoly(n,a)*2),round(P_correct*2)));

P = 0.5000 -2.0000 1.0000

5   Pass
n = 3; a = 0; P_correct = [-1 9 -18 6]/6; assert(isequal(round(genLaguerrePoly(n,a)*6),round(P_correct*6)));

P = -0.1667 1.5000 -3.0000 1.0000

6   Pass
n = 4; a = 0; P_correct = [1 -16 72 -96 24]/24; assert(isequal(round(genLaguerrePoly(n,a)*24),round(P_correct*24)));

P = 0.0417 -0.6667 3.0000 -4.0000 1.0000

7   Pass
n = 5; a = 0; P_correct = [-1 25 -200 600 -600 120]/120; assert(isequal(round(genLaguerrePoly(n,a)*120),round(P_correct*120)));

P = -0.0083 0.2083 -1.6667 5.0000 -5.0000 1.0000

8   Pass
n = 6; a = 0; P_correct = [1 -36 450 -2400 5400 -4320 720]/720; assert(isequal(round(genLaguerrePoly(n,a)*720),round(P_correct*720)));

P = 0.0014 -0.0500 0.6250 -3.3333 7.5000 -6.0000 1.0000

9   Pass
n = 0; a = 1; P_correct = [1]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = 1

10   Fail
n = 1; a = 1; P_correct = [-1 2]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = -1 1

Assertion failed.

11   Fail
n = 2; a = 1; P_correct = [1 -6 6]/2; assert(isequal(round(genLaguerrePoly(n,a)*2),round(P_correct*2)));

P = 0.5000 -2.0000 1.0000

Assertion failed.

12   Fail
n = 3; a = 1; P_correct = [-1 12 -36 24]/6; assert(isequal(round(genLaguerrePoly(n,a)*6),round(P_correct*6)));

P = -0.1667 1.5000 -3.0000 1.0000

Assertion failed.

13   Fail
n = 4; a = 1; P_correct = [1 -20 120 -240 120]/24; assert(isequal(round(genLaguerrePoly(n,a)*24),round(P_correct*24)));

P = 0.0417 -0.6667 3.0000 -4.0000 1.0000

Assertion failed.

14   Fail
n = 5; a = 1; P_correct = [-1 30 -300 1200 -1800 720]/120; assert(isequal(round(genLaguerrePoly(n,a)*120),round(P_correct*120)));

P = -0.0083 0.2083 -1.6667 5.0000 -5.0000 1.0000

Assertion failed.

15   Fail
n = 6; a = 1; P_correct = [1 -42 630 -4200 12600 -15120 5040]/720; assert(isequal(round(genLaguerrePoly(n,a)*720),round(P_correct*720)));

P = 0.0014 -0.0500 0.6250 -3.3333 7.5000 -6.0000 1.0000

Assertion failed.

16   Pass
n = 0; a = 2; P_correct = [1]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = 1

17   Fail
n = 1; a = 2; P_correct = [-1 3]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = -1 1

Assertion failed.

18   Fail
n = 2; a = 2; P_correct = [1 -8 12]/2; assert(isequal(round(genLaguerrePoly(n,a)*2),round(P_correct*2)));

P = 0.5000 -2.0000 1.0000

Assertion failed.

19   Fail
n = 3; a = 2; P_correct = [-1 15 -60 60]/6; assert(isequal(round(genLaguerrePoly(n,a)*6),round(P_correct*6)));

P = -0.1667 1.5000 -3.0000 1.0000

Assertion failed.

20   Fail
n = 4; a = 2; P_correct = [1 -24 180 -480 360]/24; assert(isequal(round(genLaguerrePoly(n,a)*24),round(P_correct*24)));

P = 0.0417 -0.6667 3.0000 -4.0000 1.0000

Assertion failed.

21   Fail
n = 5; a = 2; P_correct = [-1 35 -420 2100 -4200 2520]/120; assert(isequal(round(genLaguerrePoly(n,a)*120),round(P_correct*120)));

P = -0.0083 0.2083 -1.6667 5.0000 -5.0000 1.0000

Assertion failed.

22   Fail
n = 6; a = 2; P_correct = [1 -48 840 -6720 25200 -40320 20160]/720; assert(isequal(round(genLaguerrePoly(n,a)*720),round(P_correct*720)));

P = 0.0014 -0.0500 0.6250 -3.3333 7.5000 -6.0000 1.0000

Assertion failed.

23   Pass
n = 0; a = 3; P_correct = [1]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = 1

24   Fail
n = 1; a = 3; P_correct = [-1 4]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = -1 1

Assertion failed.

25   Fail
n = 2; a = 3; P_correct = [1 -10 20]/2; assert(isequal(round(genLaguerrePoly(n,a)*2),round(P_correct*2)));

P = 0.5000 -2.0000 1.0000

Assertion failed.

26   Fail
n = 3; a = 3; P_correct = [-1 18 -90 120]/6; assert(isequal(round(genLaguerrePoly(n,a)*6),round(P_correct*6)));

P = -0.1667 1.5000 -3.0000 1.0000

Assertion failed.

27   Fail
n = 4; a = 3; P_correct = [1 -28 252 -840 840]/24; assert(isequal(round(genLaguerrePoly(n,a)*24),round(P_correct*24)));

P = 0.0417 -0.6667 3.0000 -4.0000 1.0000

Assertion failed.

28   Fail
n = 5; a = 3; P_correct = [-1 40 -560 3360 -8400 6720]/120; assert(isequal(round(genLaguerrePoly(n,a)*120),round(P_correct*120)));

P = -0.0083 0.2083 -1.6667 5.0000 -5.0000 1.0000

Assertion failed.

29   Fail
n = 6; a = 3; P_correct = [1 -54 1080 -10080 45360 -90720 60480]/720; assert(isequal(round(genLaguerrePoly(n,a)*720),round(P_correct*720)));

P = 0.0014 -0.0500 0.6250 -3.3333 7.5000 -6.0000 1.0000

Assertion failed.

30   Pass
n = 0; a = 4; P_correct = [1]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = 1

31   Fail
n = 1; a = 4; P_correct = [-1 5]/1; assert(isequal(round(genLaguerrePoly(n,a)*1),round(P_correct*1)));

P = -1 1

Assertion failed.

32   Fail
n = 2; a = 4; P_correct = [1 -12 30]/2; assert(isequal(round(genLaguerrePoly(n,a)*2),round(P_correct*2)));

P = 0.5000 -2.0000 1.0000

Assertion failed.

33   Fail
n = 3; a = 4; P_correct = [-1 21 -126 210]/6; assert(isequal(round(genLaguerrePoly(n,a)*6),round(P_correct*6)));

P = -0.1667 1.5000 -3.0000 1.0000

Assertion failed.

34   Fail
n = 4; a = 4; P_correct = [1 -32 336 -1344 1680]/24; assert(isequal(round(genLaguerrePoly(n,a)*24),round(P_correct*24)));

P = 0.0417 -0.6667 3.0000 -4.0000 1.0000

Assertion failed.

35   Fail
n = 5; a = 4; P_correct = [-1 45 -720 5040 -15120 15120]/120; assert(isequal(round(genLaguerrePoly(n,a)*120),round(P_correct*120)));

P = -0.0083 0.2083 -1.6667 5.0000 -5.0000 1.0000

Assertion failed.

36   Fail
n = 6; a = 4; P_correct = [1 -60 1350 -14400 75600 -181440 151200]/720; assert(isequal(round(genLaguerrePoly(n,a)*720),round(P_correct*720)));

P = 0.0014 -0.0500 0.6250 -3.3333 7.5000 -6.0000 1.0000

Assertion failed.