Cody

# Problem 1473. Legendre polynomials

Solution 1961675

Submitted on 6 Oct 2019
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### Test Suite

Test Status Code Input and Output
1   Fail
user_solution = fileread('legendrePoly.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')));

Assertion failed.

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

Coef is 1.0000000000000000, err 0.0000000000000002 P = 1

3   Fail
n = 1; P_correct = [1 0]/1; assert(isequal(round(legendrePoly(n)*1),round(P_correct*1)));

Coef is 1.0000000000000000, err 0.0000000000000002 P = 0

Assertion failed.

4   Fail
n = 2; P_correct = [3 0 -1]/2; assert(isequal(round(legendrePoly(n)*2),round(P_correct*2)));

Coef is 1.5000000000000000, err 0.0000000000000003 P = -0.5000

Assertion failed.

5   Fail
n = 3; P_correct = [5 0 -3 0]/2; assert(isequal(round(legendrePoly(n)*2),round(P_correct*2)));

Coef is 2.5000000000000000, err 0.0000000000000006 P = 0

Assertion failed.

6   Fail
n = 4; P_correct = [35 0 -30 0 3]/8; assert(isequal(round(legendrePoly(n)*8),round(P_correct*8)));

Coef is 4.3750000000000000, err 0.0000000000000010 P = 0.3750

Assertion failed.

7   Fail
n = 5; P_correct = [63 0 -70 0 15 0]/8; assert(isequal(round(legendrePoly(n)*8),round(P_correct*8)));

Coef is 8.7500000000000000, err 0.0000000000000019 P = 0

Assertion failed.

8   Fail
n = 6; P_correct = [231 0 -315 0 105 0 -5]/16; assert(isequal(round(legendrePoly(n)*16),round(P_correct*16)));

Coef is 19.6875000000000000, err 0.0000000000000044 P = -0.3125

Assertion failed.

9   Fail
n = 7; P_correct = [429 0 -693 0 315 0 -35 0]/16; assert(isequal(round(legendrePoly(n)*16),round(P_correct*16)));

Coef is 43.3125000000000000, err 0.0000000000000096 P = 0

Assertion failed.

10   Fail
n = 8; P_correct = [6435 0 -12012 0 6930 0 -1260 0 35]/128; assert(isequal(round(legendrePoly(n)*128),round(P_correct*128)));

Coef is 93.8437500000000000, err 0.0000000000000208 P = 0.2734

Assertion failed.

11   Fail
n = 9; P_correct = [12155 0 -25740 0 18018 0 -4620 0 315 0]/128; assert(isequal(round(legendrePoly(n)*128),round(P_correct*128)));

Coef is 201.0937500000000000, err 0.0000000000000447 P = 0

Assertion failed.

12   Fail
n = 10; P_correct = [46189 0 -109395 0 90090 0 -30030 0 3465 0 -63]/256; assert(isequal(round(legendrePoly(n)*256),round(P_correct*256)));

Coef is 427.3242187499999432, err 0.0000000000000949 P = -0.2461

Assertion failed.

13   Fail
n = 11; P_correct = [88179 0 -230945 0 218790 0 -90090 0 15015 0 -693 0]/256; assert(isequal(round(legendrePoly(n)*256),round(P_correct*256)));

Coef is 902.1289062500000000, err 0.0000000000002003 P = 0

Assertion failed.

14   Fail
n = 12; P_correct = [676039 0 -1939938 0 2078505 0 -1021020 0 225225 0 -18018 0 231]/1024; assert(isequal(round(legendrePoly(n)*1024),round(P_correct*1024)));

Coef is 2029.7900390625000000, err 0.0000000000004507 P = 0.2256

Assertion failed.

15   Fail
n = 13; P_correct = [1300075 0 -4056234 0 4849845 0 -2771340 0 765765 0 -90090 0 3003 0]/1024; assert(isequal(round(legendrePoly(n)*1024),round(P_correct*1024)));

Coef is 4736.1767578125000000, err 0.0000000000010516 P = 0

Assertion failed.

16   Fail
n = 14; P_correct = [5014575 0 -16900975 0 22309287 0 -14549535 0 4849845 0 -765765 0 45045 0 -429]/2048; assert(isequal(round(legendrePoly(n)*2048),round(P_correct*2048)));

Coef is 10893.2065429687500000, err 0.0000000000024188 P = -0.2095

Assertion failed.

17   Fail
n = 15; P_correct = [9694845 0 -35102025 0 50702925 0 -37182145 0 14549535 0 -2909907 0 255255 0 -6435 0]/2048; assert(isequal(round(legendrePoly(n)*2048),round(P_correct*2048)));

Coef is 24757.2875976562427240, err 0.0000000000054972 P = 0

Assertion failed.