[Pkg-octave-devel] [OctDev] Status of the Octave-Forge packages in Debian

Rafael Laboissiere rafael at laboissiere.net
Mon Mar 19 10:47:24 UTC 2012


* c. <carlo.defalco at gmail.com> [2012-03-19 09:09]:

> On 19 Mar 2012, at 00:54, Rafael Laboissiere wrote:
> 
> > * c. <carlo.defalco at gmail.com> [2012-03-18 23:20]:
> >> 
> >> Does the attached pach improve the situation for you?
> > 
> > Yes, it does.  However, the first test block in nrbbasisfun still
> > fails randomly, like this:
> > 
> >    ==========================================================
> >    assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
> >       [...]
> >    but got
> >       [...]
> >    maximum absolute error 0.00516136 exceeds tolerance 1e-06
> >    ==========================================================
> > 
> > Rafael
> 
> I don't see the error so I will have to ask for your help again,
> could you please change line 90 of nrbbasisfun from
> 
> %! w = rand(1,4);
> 
> to 
> 
> %! w = rand(1,4)
> 
> and send the output of
> 
> for ii=1:100, test ("nrbbasisfun"), end;

Attached below.  Note that I used "format long".

Rafael
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For information about changes from previous versions, type `news'.

w =

 Columns 1 through 3:

   0.3144888713449011   0.0828373404776338   0.0729392438398343

 Column 4:

   0.1742738478113458

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 1),w (1) * aux (2, :).',1e-6) expected
   1.000000000000000
   0.971690300004185
   0.941108251018408
   0.908023795223407
   0.872208034729661
   0.833446654733399
   0.791558957968767
   0.746423386189236
   0.690669950648706
   0.646417337785020
   0.591915479439973
   0.534981766816783
   0.476328691555864
   0.416908620256782
   0.357886522146020
   0.300573868025853
   0.246325130194809
   0.196409096961134
   0.151877084335056
   0.113454509531053
   0.081478246132639
   0.055890550621837
   0.036285695829872
   0.021993546497519
   0.012179011293808
   0.005937944392156
   0.002376195916388
   0.000665827357143
   0.000078534152894
   0.000000000000000
but got
   1.000000000000000
   0.971690300004185
   0.941108251018408
   0.908023795223407
   0.872208034729661
   0.833446654733399
   0.791558957968767
   0.746423386189236
   0.698009772543844
   0.646417337785020
   0.591915479439973
   0.534981766816783
   0.476328691555864
   0.416908620256781
   0.357886522146020
   0.300573868025853
   0.246325130194809
   0.196409096961134
   0.151877084335056
   0.113454509531053
   0.081478246132639
   0.055890550621837
   0.036285695829872
   0.021993546497519
   0.012179011293808
   0.005937944392156
   0.002376195916388
   0.000665827357143
   0.000078534152894
   0.000000000000000
maximum absolute error 0.00733982 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.5665659569682475   0.0997500541856565   0.4681769977264424

 Column 4:

   0.9393382067936681

PASSES 2 out of 2 tests
w =

   0.119319208059194   0.957013551528890   0.427785339276440   0.670954515141363

PASSES 2 out of 2 tests
w =

   0.537837417944955   0.850863996520726   0.893521989975576   0.441677139165599

PASSES 2 out of 2 tests
w =

   0.516850631277215   0.802615887146500   0.390245576292249   0.383776260157031

PASSES 2 out of 2 tests
w =

   0.877074366978883   0.488616813472830   0.958892906377018   0.792157764192582

PASSES 2 out of 2 tests
w =

   0.855804543505983   0.498408895633975   0.296928294733146   0.318079332606796

PASSES 2 out of 2 tests
w =

   0.717761448223423   0.136184329611596   0.356013057098496   0.294241585159630

PASSES 2 out of 2 tests
w =

   0.915264141448505   0.246379225000385   0.933856414297777   0.411903647311566

PASSES 2 out of 2 tests
w =

   0.620658818111379   0.410857891358681   0.607676889271190   0.617102923351376

PASSES 2 out of 2 tests
w =

   0.812480308642067   0.937678042954124   0.990364539738251   0.475336957667049

PASSES 2 out of 2 tests
w =

   0.559509248504741   0.522150169460771   0.354176830697144   0.257316608690787

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   1.43524438891780e-01   8.01615670221192e-01   9.59959924966491e-04

 Column 4:

   2.20054283370015e-01

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.00000000000000000
   0.00001601092974641
   0.00004910955515552
   0.00009098985715003
   0.00013929416344247
   0.00019329617690946
   0.00025288995148477
   0.00031826596414329
   0.00038978360849048
   0.00046791010918155
   0.00055318150602990
   0.00064616569446671
   0.00074741415266037
   0.00085738891915476
   0.00097634763610561
   0.00110416288509796
   0.00124004325742447
   0.00138211468209869
   0.00152681763375484
   0.00166809390364543
   0.00179640586633241
   0.00189779971429523
   0.00195353627992859
   0.00194122158350029
   0.00183855802735427
   0.00164198076273093
   0.00131536785742621
   0.00091351179795156
   0.00046074609565927
   0.00000000000000000
but got
   0.00000000000000000
   0.00001601092974641
   0.00004910955515552
   0.00009098985715003
   0.00013929416344247
   0.00019329617690946
   0.00025288995148477
   0.00031826596414329
   0.00038978360849048
   0.00046791010918155
   0.00055318150602990
   0.00064616569446671
   0.00074741415266037
   0.00085738891915476
   0.00097634763610561
   0.00110416288509796
   0.00124004325742447
   0.00138211468209869
   0.00152681763375484
   0.00166809390364543
   0.00179640586633241
   0.00189779971429523
   0.00195353627992859
   0.00194122158350029
   0.00183855802735427
   0.00163011856826564
   0.00131536785742621
   0.00091351179795156
   0.00046074609565927
   0.00000000000000000
maximum absolute error 1.18622e-05 exceeds tolerance 1e-06
w =

   0.743372810562549   0.755553927335782   0.826861977814533   0.827202787361066

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.5006464991695031   0.7725049222464643   0.6957296131656866

 Column 4:

   0.0683466718317012

PASSES 2 out of 2 tests
w =

   0.526646649054145   0.900187505228491   0.334278486097793   0.442090265462027

PASSES 2 out of 2 tests
w =

   0.621682857931599   0.941934987224530   0.219255085006494   0.127938085449687

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.8596870613410924   0.2330215749892520   0.0783134344782776

 Column 4:

   0.8336200127104821

PASSES 2 out of 2 tests
w =

   0.636396833593877   0.567196037011049   0.853630265858766   0.939312099069135

PASSES 2 out of 2 tests
w =

   0.504104727349220   0.226929155022978   0.579128179466528   0.156587819841256

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000013442574953
   0.000112817751660
   0.000396925156505
   0.000974526382671
   0.001959029408089
   0.003463112447417
   0.005594271425387
   0.008452115597948
   0.012127901936479
   0.016706415369277
   0.022269997722014
   0.028904387020910
   0.036706072641365
   0.045791077176713
   0.056305407748550
   0.013587651352765
   0.082436488425035
   0.098630782904201
   0.117463192766011
   0.139535610086834
   0.165680810199814
   0.197076564646339
   0.235435890222715
   0.283340334443366
   0.344859755181386
   0.426793772656098
   0.541408002914782
   0.713291261365954
   1.000000000000000
but got
   0.000000000000000
   0.000013442574953
   0.000112817751660
   0.000396925156505
   0.000974526382671
   0.001959029408089
   0.003463112447417
   0.005594271425387
   0.008452115597948
   0.012127901936479
   0.016706415369277
   0.022269997722014
   0.028904387020910
   0.036706072641365
   0.045791077176713
   0.056305407748550
   0.068437864561777
   0.082436488425035
   0.098630782904201
   0.117463192766011
   0.139535610086834
   0.165680810199814
   0.197076564646339
   0.235435890222715
   0.283340334443366
   0.344859755181385
   0.426793772656098
   0.541408002914782
   0.713291261365954
   1.000000000000000
maximum absolute error 0.0548502 exceeds tolerance 1e-06
w =

   0.419200319187372   0.697832005982252   0.325431613191504   0.411340955938203

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 2),w (2) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.150975114552239
   0.177716236204052
   0.358187612429071
   0.428974382737056
   0.483832139654953
   0.525593435447294
   0.556297642547433
   0.577434196750134
   0.590102582622510
   0.595121752520923
   0.593108284965032
   0.584535201146047
   0.569779134424869
   0.549161040294337
   0.522984059408606
   0.491571043416859
   0.455303320609293
   0.414661293024198
   0.370266245171570
   0.322921190916008
   0.273646675249459
   0.223705345928083
   0.174607247048518
   0.128086908558957
   0.086044395617601
   0.050446460925374
   0.023191128234646
   0.005948512869063
   0.000000000000000
but got
   0.000000000000000
   0.150975114552239
   0.267461650456440
   0.358187612429071
   0.428974382737056
   0.483832139654953
   0.525593435447294
   0.556297642547433
   0.577434196750134
   0.590102582622510
   0.595121752520923
   0.593108284965032
   0.584535201146047
   0.569779134424869
   0.549161040294337
   0.522984059408606
   0.491571043416859
   0.455303320609293
   0.414661293024198
   0.370266245171570
   0.322921190916008
   0.273646675249459
   0.223705345928083
   0.174607247048518
   0.128086908558957
   0.086044395617601
   0.050446460925374
   0.023191128234646
   0.005948512869063
   0.000000000000000
maximum absolute error 0.0897454 exceeds tolerance 1e-06
w =

   0.146703329726793   0.591162834262970   0.770088367032246   0.584919380075539

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.0193597030015657   0.4555600868753063   0.1755032207944375

 Column 4:

   0.9091729664902255

PASSES 2 out of 2 tests
w =

   0.647248064448997   0.860704955187939   0.978431278353856   0.844625673757197

PASSES 2 out of 2 tests
w =

   0.442196747873111   0.285923488162173   0.491618495137113   0.398185930193987

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.3995702232187413   0.0715959987997454   0.6950828861174865

 Column 4:

   0.9605402566974961

PASSES 2 out of 2 tests
w =

   0.133623231079355   0.834323746923459   0.845646028991121   0.117866684253412

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.0866472731587470   0.4503949708828618   0.3597817747859173

 Column 4:

   0.3920948442066571

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.010100745300319
   0.132454313583311
   0.055800221923096
   0.083208050980381
   0.111929607897409
   0.141379071729777
   0.171146803513739
   0.200897049486572
   0.248358337880095
   0.259099318675241
   0.286907096522585
   0.313381192679808
   0.338122559383019
   0.360687561531070
   0.380582879134214
   0.397261829470754
   0.410122331475915
   0.418506917175636
   0.421705338523239
   0.418960425996421
   0.409477917423846
   0.392440971490534
   0.367029982967118
   0.332448095633503
   0.287952437041174
   0.128098990446914
   0.166740896511020
   0.089155171618916
   0.000000000000000
but got
   0.000000000000000
   0.010100745300319
   0.030714831492292
   0.055800221923096
   0.083208050980381
   0.111929607897409
   0.141379071729777
   0.171146803513739
   0.200897049486572
   0.230318859595070
   0.259099318675241
   0.286907096522585
   0.313381192679808
   0.338122559383019
   0.360687561531070
   0.380582879134214
   0.397261829470754
   0.410122331475915
   0.418506917175636
   0.421705338523239
   0.418960425996421
   0.409477917423846
   0.392440971490534
   0.367029982967118
   0.332448095633503
   0.287952437041174
   0.232890561862101
   0.166740896511020
   0.089155171618916
   0.000000000000000
maximum absolute error 0.104792 exceeds tolerance 1e-06
w =

   0.314515020466677   0.335352961196518   0.544191124263596   0.396298882616926

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.8797498556297185   0.0371502069647829   0.4985125926362792

 Column 4:

   0.2500920356796375

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000012863644585
   0.000113406729197
   0.000420841075228
   0.001093377753069
   0.002330995630584
   0.004374084313886
   0.007496329661566
   0.011990990314893
   0.018151282204994
   0.026247688092616
   0.036506923485444
   0.049098061071928
   0.064130283798689
   0.081664077384214
   0.101734461908661
   0.124382508598328
   0.149690831532180
   0.177820027673294
   0.064901568492351
   0.243797194063693
   0.282707279984757
   0.326675467613537
   0.376965386579866
   0.435355625115809
   0.504385937653333
   0.587775068991347
   0.691164208141732
   0.823520881962602
   1.000000000000000
but got
   0.000000000000000
   0.000012863644585
   0.000113406729197
   0.000420841075228
   0.001093377753069
   0.002330995630584
   0.004374084313886
   0.007496329661566
   0.011990990314893
   0.018151282204994
   0.026247688092616
   0.036506923485444
   0.049098061071928
   0.064130283798689
   0.081664077384214
   0.101734461908661
   0.124382508598328
   0.149690831532180
   0.177820027673294
   0.209045520029585
   0.243797194063693
   0.282707279984757
   0.326675467613537
   0.376965386579866
   0.435355625115809
   0.504385937653333
   0.587775068991347
   0.691164208141732
   0.823520881962602
   1.000000000000000
maximum absolute error 0.144144 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.00269601684465819   0.96004708820225704   0.89704321911713714

 Column 4:

   0.79611099622291404

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000332632998114
   0.001399964037227
   0.003286932480933
   0.006087434382348
   0.009905556179927
   0.014856684556174
   0.021068726793309
   0.028683449166864
   0.055668286960812
   0.082053179802344
   0.061600835320630
   0.076574953077761
   0.093924049763720
   0.113908086302679
   0.136813583682458
   0.162955737433608
   0.192680475451499
   0.226366363510916
   0.264426228716138
   0.307308328586437
   0.355496841404810
   0.409511391138849
   0.469905247716269
   0.537261762063632
   0.171639180670317
   0.695308522060760
   0.787247943305462
   0.888619342551694
   1.000000000000000
but got
   0.000000000000000
   0.000332632998114
   0.001399964037227
   0.003286932480933
   0.006087434382348
   0.009905556179927
   0.014856684556174
   0.021068726793309
   0.028683449166864
   0.037857938929032
   0.048766193254355
   0.061600835320630
   0.076574953077761
   0.093924049763720
   0.113908086302679
   0.136813583682458
   0.162955737433608
   0.192680475451499
   0.226366363510916
   0.264426228716138
   0.307308328586437
   0.355496841404810
   0.409511391138849
   0.469905247716269
   0.537261762063632
   0.612188508563025
   0.695308522060760
   0.787247943305462
   0.888619342551694
   1.000000000000000
maximum absolute error 0.440549 exceeds tolerance 1e-06
w =

   0.809933324574512   0.262298293300300   0.475178903829157   0.965591093322112

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.3092327545019185   0.2623212763933639   0.4589353049730786

 Column 4:

   0.0468583776359957

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.005178844596508
   0.020139942638111
   0.043806331654324
   0.065902991125397
   0.112038213704043
   0.153837737561206
   0.198974981905516
   0.246243230018458
   0.294581064122317
   0.343083905368720
   0.391001550537030
   0.437725908855392
   0.482772554831956
   0.525758809333878
   0.566380060129979
   0.604385033493127
   0.639549715406645
   0.671648460897222
   0.700419222063145
   0.725517150441953
   0.746445751873284
   0.762444176112139
   0.772285173900957
   0.773878414194007
   0.763407201066004
   0.733188931852894
   0.665321497539747
   0.506673999254188
   0.000000000000000
but got
   0.000000000000000
   0.005178844596508
   0.020139942638111
   0.043806331654324
   0.074898735928873
   0.112038213704043
   0.153837737561206
   0.198974981905516
   0.246243230018458
   0.294581064122317
   0.343083905368720
   0.391001550537030
   0.437725908855392
   0.482772554831956
   0.525758809333878
   0.566380060129979
   0.604385033493127
   0.639549715406645
   0.671648460897222
   0.700419222063145
   0.725517150441953
   0.746445751873284
   0.762444176112139
   0.772285173900957
   0.773878414194007
   0.763407201066004
   0.733188931852894
   0.665321497539747
   0.506673999254188
   0.000000000000000
maximum absolute error 0.00899574 exceeds tolerance 1e-06
w =

   0.398987925027399   0.605984320872541   0.582652307997756   0.694671660834738

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.012308199445769
   0.000519468482392
   0.001685611607862
   0.003858379183283
   0.007304999532288
   0.012276939706857
   0.019015820757273
   0.027757176615670
   0.038732664434421
   0.052171099573299
   0.068298547160731
   0.087337616340358
   0.109506051962566
   0.135014689682168
   0.164064827259922
   0.196845063186838
   0.233527660911346
   0.274264511055565
   0.319182783441757
   0.368380383870548
   0.421921355539437
   0.479831389591639
   0.542093631049455
   0.608644982585275
   0.679373116427934
   0.754114401601399
   0.832652937573397
   0.914720855043949
   1.000000000000000
but got
   0.000000000000000
   0.000067882148342
   0.000519468482392
   0.001685611607862
   0.003858379183283
   0.007304999532288
   0.012276939706857
   0.019015820757273
   0.027757176615670
   0.038732664434421
   0.052171099573299
   0.068298547160731
   0.087337616340358
   0.109506051962566
   0.135014689682168
   0.164064827259922
   0.196845063186838
   0.233527660911346
   0.274264511055565
   0.319182783441757
   0.368380383870548
   0.421921355539437
   0.479831389591639
   0.542093631049455
   0.608644982585275
   0.679373116427934
   0.754114401601399
   0.832652937573397
   0.914720855043949
   1.000000000000000
maximum absolute error 0.0122403 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.2648673379208760   0.2386838432383383   0.1066074273930563

 Column 4:

   0.0628582189589495

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.001402560121033
   0.005489262987477
   0.012101949767293
   0.021108177431206
   0.032395239818632
   0.045864738551165
   0.061427371664727
   0.078997624880818
   0.098488041832022
   0.119802716121674
   0.142829588388909
   0.167431042158909
   0.193432168055211
   0.220605900485704
   0.248654017290550
   0.277182725643237
   0.021108274408159
   0.333431371049050
   0.359555874954954
   0.382852866674328
   0.401763852090939
   0.414263431123769
   0.417740791431405
   0.408867428785808
   0.383463862375217
   0.336392582573085
   0.261527231713123
   0.151879486321704
   0.000000000000000
but got
   0.000000000000000
   0.001402560121033
   0.005489262987477
   0.012101949767293
   0.021108177431206
   0.032395239818632
   0.045864738551165
   0.061427371664727
   0.078997624880818
   0.098488041832022
   0.119802716121674
   0.142829588388909
   0.167431042158909
   0.193432168055211
   0.220605900485704
   0.248654017290550
   0.277182725643237
   0.305671236767116
   0.333431371049050
   0.359555874954954
   0.382852866674328
   0.401763852090939
   0.414263431123769
   0.417740791431405
   0.408867428785808
   0.383463862375217
   0.336392582573085
   0.261527231713123
   0.151879486321704
   0.000000000000000
maximum absolute error 0.284563 exceeds tolerance 1e-06
w =

   0.222984017787955   0.937631138650784   0.608802938900493   0.780391527735310

PASSES 2 out of 2 tests
w =

   0.734192790141773   0.169791304219528   0.993338776477579   0.191745930557031

PASSES 2 out of 2 tests
w =

   0.553427009209976   0.575776880009958   0.844583615887792   0.634789383637390

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000046762900234
   0.000370943239420
   0.001238381044211
   0.002897806249463
   0.005578158638497
   0.009488135417755
   0.014817595482834
   0.021740404606641
   0.030418328545371
   0.041005647720756
   0.053654256520575
   0.068519106765358
   0.085763949240892
   0.105567415806368
   0.128129568405518
   0.153679124744818
   0.182481660692895
   0.214849196637613
   0.251151712706546
   0.291831324793525
   0.337420117029371
   0.388563007696946
   0.218794413706481
   0.510843721722811
   0.584156981067200
   0.667502041395593
   0.762805384593817
   0.872552023374120
   1.000000000000000
but got
   0.000000000000000
   0.000046762900234
   0.000370943239420
   0.001238381044211
   0.002897806249463
   0.005578158638497
   0.009488135417755
   0.014817595482834
   0.021740404606641
   0.030418328545371
   0.041005647720756
   0.053654256520575
   0.068519106765358
   0.085763949240892
   0.105567415806368
   0.128129568405518
   0.153679124744818
   0.182481660692895
   0.214849196637613
   0.251151712706546
   0.291831324793525
   0.337420117029371
   0.388563007696946
   0.446047588330114
   0.510843721722811
   0.584156981067200
   0.667502041395592
   0.762805384593817
   0.872552023374120
   1.000000000000000
maximum absolute error 0.227253 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.8639096828716994   0.4412435883632032   0.0630466225345750

 Column 4:

   0.8383014261235944

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.0000000000000000
   0.0002646835293286
   0.0010772956238294
   0.0024676613564595
   0.0044668448471814
   0.0071045992106484
   0.0104055639085236
   0.0143838278095372
   0.0190355023475879
   0.0243291115332844
   0.0301940024287298
   0.0365077165485133
   0.0430843893095511
   0.0496676334767864
   0.0559325511234181
   0.0615016330770724
   0.0659772876388167
   0.0218198802405367
   0.0702473153155878
   0.0695898514289326
   0.0670078477230549
   0.0626429068379198
   0.0567569926279461
   0.0496855056855568
   0.0417872296579326
   0.0334025569872323
   0.0248258744994332
   0.0162925153451585
   0.0079772334059907
   0.0000000000000000
but got
   0.0000000000000000
   0.0002646835293286
   0.0010772956238294
   0.0024676613564595
   0.0044668448471814
   0.0071045992106484
   0.0104055639085236
   0.0143838278095372
   0.0190355023475879
   0.0243291115332844
   0.0301940024287298
   0.0365077165485133
   0.0430843893095511
   0.0496676334767864
   0.0559325511234181
   0.0615016330770724
   0.0659772876388167
   0.0689890663712657
   0.0702473153155878
   0.0695898514289326
   0.0670078477230549
   0.0626429068379198
   0.0567569926279461
   0.0496855056855568
   0.0417872296579326
   0.0334025569872323
   0.0248258744994332
   0.0162925153451585
   0.0079772334059907
   0.0000000000000000
maximum absolute error 0.0471692 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.00432777052440774   0.11214661777383476   0.88919447058612122

 Column 4:

   0.46462866337094738

PASSES 2 out of 2 tests
w =

   0.855899019015302   0.167441787107117   0.532312332531381   0.201733299791403

PASSES 2 out of 2 tests
w =

   0.168415249734155   0.532293515996741   0.184648416962787   0.102385681007767

PASSES 2 out of 2 tests
w =

   0.386691214847482   0.708588242892716   0.305021045983661   0.228418932354866

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.002516602305736
   0.009141098968196
   0.018902545047102
   0.031185306788689
   0.045580664386545
   0.061805087545428
   0.079651890555061
   0.198149766229340
   0.119594842616607
   0.141427511311912
   0.164325108865468
   0.188134868453364
   0.212670041319167
   0.237693249429541
   0.262896613188244
   0.287877499842479
   0.312108720268309
   0.334902071824078
   0.355364417764589
   0.372346224902609
   0.384383984233952
   0.389640693692989
   0.409769629954669
   0.486398233610573
   0.339830682492358
   0.290946722647663
   0.220056787299164
   0.123871333560346
   0.000000000000000
but got
   0.000000000000000
   0.002516602305736
   0.009141098968196
   0.018902545047102
   0.031185306788689
   0.045580664386545
   0.061805087545428
   0.079651890555061
   0.098960445640618
   0.119594842616607
   0.141427511311912
   0.164325108865468
   0.188134868453364
   0.212670041319167
   0.237693249429541
   0.262896613188244
   0.287877499842479
   0.312108720268309
   0.334902071824078
   0.355364417764589
   0.372346224902609
   0.384383984233952
   0.389640693692989
   0.385853195832037
   0.370302225454233
   0.339830682492358
   0.290946722647663
   0.220056787299164
   0.123871333560346
   0.000000000000000
maximum absolute error 0.116096 exceeds tolerance 1e-06
w =

   0.256474513491551   0.948078190273148   0.435510273233538   0.835258903402953

PASSES 2 out of 2 tests
w =

   0.828353244239814   0.163321970901158   0.370612170183035   0.282012381700277

PASSES 2 out of 2 tests
w =

   0.750356866835985   0.553948902356092   0.653908987696271   0.557871934041145

PASSES 2 out of 2 tests
w =

   0.255723499879667   0.832943857189335   0.228371147985550   0.487948957331783

PASSES 2 out of 2 tests
w =

   0.635909179454025   0.499919153589875   0.627439367671278   0.993775737176366

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.7032309206686247   0.0367996503695206   0.6004451610934284

 Column 4:

   0.5838751803490383

PASSES 2 out of 2 tests
w =

   0.973982061349899   0.719434358085339   0.815180502982352   0.753316387792322

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.002958888309457
   0.011692950064694
   0.025907633611883
   0.045202723634186
   0.069077466053891
   0.096938822080369
   0.128112411137771
   0.161855527545016
   0.197371491368080
   0.233824530088164
   0.270354387121060
   0.306089910595856
   0.340160979612721
   0.371708259736468
   0.399890427396426
   0.487549572136651
   0.442908216390656
   0.456177380671458
   0.511433038417062
   0.462466033441552
   0.454008319968323
   0.436825081886194
   0.410148742496339
   0.373172537696438
   0.335997201712019
   0.264775428369066
   0.191348971352979
   0.103551255085635
   0.000000000000000
but got
   0.000000000000000
   0.002958888309457
   0.011692950064694
   0.025907633611883
   0.045202723634186
   0.069077466053891
   0.096938822080369
   0.128112411137771
   0.161855527545016
   0.197371491368080
   0.233824530088164
   0.270354387121060
   0.306089910595857
   0.340160979612721
   0.371708259736468
   0.399890427396426
   0.423888647549420
   0.442908216390656
   0.456177380671458
   0.462943410808956
   0.462466033441552
   0.454008319968323
   0.436825081886194
   0.410148742496339
   0.373172537696438
   0.325030743522074
   0.264775428369066
   0.191348971352979
   0.103551255085635
   0.000000000000000
maximum absolute error 0.0636609 exceeds tolerance 1e-06
w =

   0.298808681921168   0.545770569380605   0.424992751846717   0.952718215986360

PASSES 2 out of 2 tests
w =

   0.416751988485649   0.851590335436802   0.280417857657910   0.912575594202743

PASSES 2 out of 2 tests
w =

   0.229574563809687   0.166971657365990   0.927808836766072   0.375573591631617

PASSES 2 out of 2 tests
w =

   0.496744787821827   0.919202146446691   0.887591900859881   0.361789870109895

PASSES 2 out of 2 tests
w =

   0.447933075159182   0.680591339031660   0.937594679735308   0.325910324080922

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.050827500266448
   0.025105921528255
   0.051905468068559
   0.084918329051925
   0.122286582355156
   0.162525426811698
   0.204447626944024
   0.247100978208464
   0.289716857482720
   0.331667881940272
   0.372432812781275
   0.411567001996355
   0.448676827202598
   0.483396650746747
   0.515366841030928
   0.544211266868458
   0.569512359575471
   0.590781229992739
   0.607419245231556
   0.618665573472249
   0.623521846747613
   0.620638985196082
   0.608139699276094
   0.583327378302277
   0.542184288067558
   0.478454701051137
   0.381846255350769
   0.234169087491071
   0.000000000000000
but got
   0.000000000000000
   0.006840866859736
   0.025105921528255
   0.051905468068559
   0.084918329051925
   0.122286582355156
   0.162525426811698
   0.204447626944024
   0.247100978208464
   0.289716857482720
   0.331667881940272
   0.372432812781275
   0.411567001996355
   0.448676827202598
   0.483396650746747
   0.515366841030928
   0.544211266868458
   0.569512359575471
   0.590781229992739
   0.607419245231556
   0.618665573472249
   0.623521846747613
   0.620638985196082
   0.608139699276094
   0.583327378302277
   0.542184288067558
   0.478454701051137
   0.381846255350769
   0.234169087491071
   0.000000000000000
maximum absolute error 0.0439866 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.7787045127981572   0.4857377722891011   0.6570988144403586

 Column 4:

   0.0248537878261376

PASSES 2 out of 2 tests
w =

   0.687290973579764   0.636386476070137   0.362601273825776   0.528065547998367

PASSES 2 out of 2 tests
w =

   0.252976292252759   0.605504509578934   0.652868857613024   0.251004704028464

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000035691725138
   0.000256083263023
   0.000788469682641
   0.001728543898728
   0.003158009196755
   0.005153944037088
   0.007794533590284
   0.011163173002886
   0.021203790533478
   0.020464894633353
   0.026621889740920
   0.033962723898905
   0.042652489164413
   0.052888246444557
   0.064907706670314
   0.079000715545372
   0.095524720635495
   0.114925977841854
   0.137769182322028
   0.164779734251945
   0.196905429533301
   0.235408874712177
   0.282010111190596
   0.339114457869125
   0.410191560664853
   0.500437293902727
   0.617999747395050
   0.776423007091010
   1.000000000000000
but got
   0.000000000000000
   0.000035691725138
   0.000256083263023
   0.000788469682641
   0.001728543898728
   0.003158009196755
   0.005153944037088
   0.007794533590284
   0.011163173002886
   0.015351925720277
   0.020464894633353
   0.026621889740920
   0.033962723898905
   0.042652489164413
   0.052888246444557
   0.064907706670314
   0.079000715545372
   0.095524720635495
   0.114925977841854
   0.137769182322028
   0.164779734251945
   0.196905429533301
   0.235408874712177
   0.282010111190596
   0.339114457869125
   0.410191560664853
   0.500437293902727
   0.617999747395050
   0.776423007091010
   1.000000000000000
maximum absolute error 0.00585186 exceeds tolerance 1e-06
w =

   0.318175746088040   0.233792159163810   0.495797981098962   0.537059782495654

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.4380425321714604   0.2649682429518188   0.0620953888185089

 Column 4:

   0.7356963489807666

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000071809815570
   0.000600141812711
   0.002118905587829
   0.005258920799907
   0.010757607229619
   0.019460372203347
   0.032307975510526
   0.046976341477943
   0.074446825717234
   0.105646123698268
   0.144583314613219
   0.191569564637091
   0.246401962178517
   0.308263852575012
   0.375708257673248
   0.446750825111200
   0.519069146927144
   0.590270230086886
   0.658164079632668
   0.720981154459580
   0.777494222165452
   0.827038062800799
   0.869447985790745
   0.904951257391189
   0.934044513330360
   0.957380887809884
   0.975679336014620
   0.989659518674860
   1.000000000000000
but got
   0.000000000000000
   0.000071809815570
   0.000600141812711
   0.002118905587829
   0.005258920799907
   0.010757607229619
   0.019460372203347
   0.032307975510526
   0.050302808531593
   0.074446825717234
   0.105646123698268
   0.144583314613219
   0.191569564637091
   0.246401962178517
   0.308263852575012
   0.375708257673248
   0.446750825111200
   0.519069146927144
   0.590270230086887
   0.658164079632668
   0.720981154459580
   0.777494222165452
   0.827038062800799
   0.869447985790745
   0.904951257391189
   0.934044513330360
   0.957380887809884
   0.975679336014620
   0.989659518674860
   1.000000000000000
maximum absolute error 0.00332647 exceeds tolerance 1e-06
w =

   0.382470196174010   0.518381174340920   0.926276169689879   0.152212612336786

PASSES 2 out of 2 tests
w =

   0.158840343431438   0.655172833655029   0.499743764736012   0.429975249978619

PASSES 2 out of 2 tests
w =

   0.320142136499932   0.724267330765560   0.716525776985402   0.303055064056579

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.3671397487798099   0.8143014955150957   0.6523932175516842

 Column 4:

   0.0107672397832899

PASSES 2 out of 2 tests
w =

   0.162727962797078   0.335909723522649   0.705470946139924   0.820774861347175

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.4697551361253806   0.8564536821290563   0.3808571137878010

 Column 4:

   0.0231741954882564

PASSES 2 out of 2 tests
w =

   0.532298841767076   0.854646525985132   0.328543453034008   0.166944333911461

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000012165367543
   0.000093243857210
   0.000304756252215
   0.002340681073420
   0.001359048472186
   0.002331476112089
   0.003700448123521
   0.005555638140211
   0.008003054179236
   0.011169458769664
   0.015207759674653
   0.020303712513217
   0.026684356766409
   0.034628719383576
   0.044481469427786
   0.056670396739996
   0.071728817243421
   0.090324265187315
   0.113295078560465
   0.141696618937849
   0.176858671169247
   0.220454585303870
   0.274580053670762
   0.341833375550390
   0.425376696393381
   0.528934363173232
   0.656644339625888
   0.812618457402549
   1.000000000000000
but got
   0.000000000000000
   0.000012165367543
   0.000093243857210
   0.000304756252215
   0.000706084403556
   0.001359048472186
   0.002331476112089
   0.003700448123521
   0.005555638140211
   0.008003054179236
   0.011169458769664
   0.015207759674653
   0.020303712513217
   0.026684356766409
   0.034628719383576
   0.044481469427786
   0.056670396739996
   0.071728817243421
   0.090324265187315
   0.113295078560465
   0.141696618937849
   0.176858671169247
   0.220454585303870
   0.274580053670762
   0.341833375550390
   0.425376696393381
   0.528934363173232
   0.656644339625888
   0.812618457402549
   1.000000000000000
maximum absolute error 0.0016346 exceeds tolerance 1e-06
w =

   0.996865061117209   0.752881013519564   0.489376700847435   0.402583969672910

PASSES 2 out of 2 tests
w =

   0.804210582320268   0.300536410530777   0.652307836348574   0.243325645280865

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.1214127481694201   0.7499852861962919   0.0692938034741138

 Column 4:

   0.6305787953693857

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.0000000000000000
   0.0013122437898669
   0.0039403966327567
   0.0071932019726922
   0.0108760516639481
   0.0149164462913765
   0.0192816576118512
   0.0239520359527568
   0.0289091739183148
   0.0341286417983399
   0.0395739875921686
   0.0451907633487233
   0.0575433107303890
   0.0565922672383153
   0.0621196934616881
   0.0672924291986386
   0.0718760982362725
   0.0755959389717460
   0.0781493472726262
   0.0792291144669885
   0.0785574605170853
   0.0759274096519077
   0.0712438103506999
   0.0645532770700147
   0.0560528183398868
   0.0460719866811067
   0.0350315223362462
   0.0135715019071203
   0.0115846233581864
   0.0000000000000000
but got
   0.0000000000000000
   0.0013122437898669
   0.0039403966327567
   0.0071932019726922
   0.0108760516639480
   0.0149164462913765
   0.0192816576118512
   0.0239520359527568
   0.0289091739183148
   0.0341286417983399
   0.0395739875921686
   0.0451907633487233
   0.0509001519572650
   0.0565922672383153
   0.0621196934616881
   0.0672924291986386
   0.0718760982362725
   0.0755959389717460
   0.0781493472726263
   0.0792291144669885
   0.0785574605170853
   0.0759274096519076
   0.0712438103506999
   0.0645532770700147
   0.0560528183398868
   0.0460719866811067
   0.0350315223362462
   0.0233889324875656
   0.0115846233581864
   0.0000000000000000
maximum absolute error 0.00981743 exceeds tolerance 1e-06
w =

   0.265016729488844   0.896459623959370   0.696778716486442   0.212611303861351

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000026626796524
   0.000181624062174
   0.000541206150438
   0.029400617170635
   0.002094316204787
   0.003392415417919
   0.005114066518359
   0.007325150254120
   0.010101756939939
   0.013532934847808
   0.017723976453382
   0.022800524210128
   0.028913838566641
   0.036247689081597
   0.045027520473370
   0.055532844825451
   0.068114283250219
   0.083217438668687
   0.101417030085874
   0.049493954517170
   0.150374703621111
   0.183518648217272
   0.224832923871716
   0.277118773134625
   0.344589551712098
   0.433886105825947
   0.556115124765960
   0.731355475782002
   1.000000000000000
but got
   0.000000000000000
   0.000026626796524
   0.000181624062174
   0.000541206150438
   0.001161604587634
   0.002094316204787
   0.003392415417919
   0.005114066518359
   0.007325150254120
   0.010101756939939
   0.013532934847808
   0.017723976453382
   0.022800524210128
   0.028913838566641
   0.036247689081597
   0.045027520473370
   0.055532844825451
   0.068114283250220
   0.083217438668687
   0.101417030085874
   0.123466835734924
   0.150374703621111
   0.183518648217272
   0.224832923871716
   0.277118773134625
   0.344589551712098
   0.433886105825947
   0.556115124765960
   0.731355475782002
   1.000000000000000
maximum absolute error 0.0739729 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.0928186856022545   0.2520000712267268   0.7306431709635961

 Column 4:

   0.8688394384765497

PASSES 2 out of 2 tests
w =

   0.246426134715816   0.141214011341364   0.811667102290633   0.105219959818367

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.00210481299562830   0.17330319517492560   0.08250680438626172

 Column 4:

   0.85025886353795765

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.001842002689087
   0.039253977992612
   0.019583737549952
   0.036617364433489
   0.059667920202958
   0.088963117972165
   0.124507904918308
   0.166047582963596
   0.213051695898473
   0.264724909992487
   0.320046915577760
   0.377837952674482
   0.436841400749725
   0.495811554062847
   0.553594233322446
   0.609190256740481
   0.661796054279706
   0.710820437482652
   0.755880454130816
   0.796781635727643
   0.833488694794927
   0.866092211600907
   0.894775611470637
   0.919785277476208
   0.941405315395308
   0.959937461022815
   0.975685932365045
   0.988946639596348
   1.000000000000000
but got
   0.000000000000000
   0.001842002689087
   0.008165834858317
   0.019583737549952
   0.036617364433489
   0.059667920202958
   0.088963117972165
   0.124507904918308
   0.166047582963596
   0.213051695898473
   0.264724909992487
   0.320046915577760
   0.377837952674482
   0.436841400749725
   0.495811554062847
   0.553594233322446
   0.609190256740481
   0.661796054279706
   0.710820437482652
   0.755880454130816
   0.796781635727643
   0.833488694794927
   0.866092211600907
   0.894775611470637
   0.919785277476208
   0.941405315395308
   0.959937461022815
   0.975685932365045
   0.988946639596349
   1.000000000000000
maximum absolute error 0.0310881 exceeds tolerance 1e-06
w =

   0.233526632042364   0.118711771433379   0.774604235321471   0.716890186414297

PASSES 2 out of 2 tests
w =

   0.607071681079727   0.986964801224560   0.968709354345046   0.978937565006194

PASSES 2 out of 2 tests
w =

   0.371610424810491   0.433794597244773   0.967715669527673   0.101074956340854

PASSES 2 out of 2 tests
w =

   0.184780138076220   0.808128270717252   0.357009324612866   0.748101877186938

PASSES 2 out of 2 tests
w =

   0.341196197160176   0.300501339016643   0.142070208720675   0.380654478427456

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.001453751992820
   0.005697415122157
   0.054026693640485
   0.021913715192919
   0.033576036591546
   0.047383240545637
   0.063134746815111
   0.080588540800503
   0.099447925361298
   0.119348919723468
   0.139849516688324
   0.160422523589624
   0.180454172248765
   0.199250936357077
   0.216056837685164
   0.230082743499168
   0.167633661721183
   0.246729493646804
   0.248021231693208
   0.243984126550887
   0.234390974488730
   0.219251136187254
   0.198812624896252
   0.173540342952859
   0.144073971180413
   0.111172474491534
   0.075653816605036
   0.038338058225143
   0.000000000000000
but got
   0.000000000000000
   0.001453751992820
   0.005697415122157
   0.012568583440551
   0.021913715192919
   0.033576036591546
   0.047383240545637
   0.063134746815111
   0.080588540800503
   0.099447925361298
   0.119348919723468
   0.139849516688324
   0.160422523589624
   0.180454172248765
   0.199250936357077
   0.216056837685164
   0.230082743499168
   0.240547622358858
   0.246729493646804
   0.248021231693208
   0.243984126550887
   0.234390974488730
   0.219251136187254
   0.198812624896252
   0.173540342952859
   0.144073971180413
   0.111172474491534
   0.075653816605036
   0.038338058225143
   0.000000000000000
maximum absolute error 0.072914 exceeds tolerance 1e-06
w =

   0.699788460750452   0.236170717501105   0.777014254410179   0.414302225678904

PASSES 2 out of 2 tests
w =

   0.763382879235352   0.904982564318020   0.883091657725472   0.619070199965627

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.004647907766521
   0.014844084034597
   0.031694142266909
   0.053481386358538
   0.079323556214762
   0.108418843380517
   0.140030300347043
   0.173472306193559
   0.208098572791832
   0.243291259976062
   0.278450825281170
   0.312986268804854
   0.346305449136649
   0.377805143068533
   0.406860499250926
   0.432813491599682
   0.540630845653324
   0.472534300869485
   0.484692191222657
   0.490488575456341
   0.488851521293124
   0.478549182035958
   0.458147960043047
   0.425958654721646
   0.379966116401947
   0.317735956222400
   0.236288849982259
   0.131928273614047
   0.000000000000000
but got
   0.000000000000000
   0.003912204684025
   0.014844084034597
   0.031694142266909
   0.053481386358538
   0.079323556214762
   0.108418843380517
   0.140030300347043
   0.173472306193559
   0.208098572791832
   0.243291259976062
   0.278450825281170
   0.312986268804854
   0.346305449136649
   0.377805143068533
   0.406860499250926
   0.432813491599683
   0.454959907462821
   0.472534300869485
   0.484692191222657
   0.490488575456341
   0.488851521293124
   0.478549182035958
   0.458147960043047
   0.425958654721646
   0.379966116401947
   0.317735956222400
   0.236288849982259
   0.131928273614047
   0.000000000000000
maximum absolute error 0.0856709 exceeds tolerance 1e-06
w =

   0.723830042824076   0.678563121173550   0.838238363452731   0.805154224608744

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.4323939875179458   0.0159412488751324   0.2275365813268574

 Column 4:

   0.4767445728539698

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.8298365594276927   0.9554494626708947   0.0691620775049633

 Column 4:

   0.6622035611071919

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.0000000000000000
   0.0002838075430547
   0.0010909421215990
   0.0023724770874160
   0.0040969876654187
   0.0062451926326708
   0.0088060093420111
   0.0861309569499065
   0.0151427573456323
   0.0189086262706012
   0.0230596976511841
   0.0275744011060064
   0.0324145571047938
   0.0375176003981259
   0.0427872923750125
   0.0480834435790563
   0.0532120241380798
   0.0579182968860492
   0.0618870946867000
   0.0647554873862334
   0.0661426990219897
   0.0656988165354363
   0.0631669113176878
   0.0584443716629877
   0.0516232958683059
   0.0429923658052722
   0.0329952623135423
   0.0221576037895799
   0.0110057009910194
   0.0000000000000000
but got
   0.0000000000000000
   0.0002838075430547
   0.0010909421215990
   0.0023724770874160
   0.0040969876654187
   0.0062451926326708
   0.0088060093420111
   0.0117732946584028
   0.0151427573456323
   0.0189086262706012
   0.0230596976511841
   0.0275744011060064
   0.0324145571047938
   0.0375176003981259
   0.0427872923750124
   0.0480834435790563
   0.0532120241380798
   0.0579182968860492
   0.0618870946867000
   0.0647554873862334
   0.0661426990219897
   0.0656988165354363
   0.0631669113176878
   0.0584443716629877
   0.0516232958683059
   0.0429923658052722
   0.0329952623135423
   0.0221576037895799
   0.0110057009910194
   0.0000000000000000
maximum absolute error 0.0743577 exceeds tolerance 1e-06
w =

   0.397792733151603   0.227975033420159   0.371660803728723   0.117118512517466

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 2),w (2) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.057656365415189
   0.111436350239694
   0.160482765084271
   0.204063845387290
   0.241609757354467
   0.272737375212644
   0.297261159604622
   0.315189848468285
   0.326710474225581
   0.332162600400231
   0.332006423263086
   0.326788479598397
   0.317108257578974
   0.295849351783483
   0.288566451346212
   0.267489675409840
   0.246075641123260
   0.223129848509355
   0.199130681519313
   0.174513714197361
   0.149677858617740
   0.124996133850718
   0.100832447776352
   0.077567815407891
   0.055643685342732
   0.035639834451242
   0.018429421612744
   0.005527178732600
   0.000000000000000
but got
   0.000000000000000
   0.057656365415189
   0.111436350239694
   0.160482765084271
   0.204063845387290
   0.241609757354467
   0.272737375212644
   0.297261159604622
   0.315189848468285
   0.326710474225581
   0.332162600400231
   0.332006423263086
   0.326788479598397
   0.317108257578974
   0.303588226021049
   0.286848894823903
   0.267489675409840
   0.246075641123260
   0.223129848509355
   0.199130681519313
   0.174513714197361
   0.149677858617740
   0.124996133850718
   0.100832447776352
   0.077567815407891
   0.055643685342732
   0.035639834451242
   0.018429421612744
   0.005527178732600
   0.000000000000000
maximum absolute error 0.00773887 exceeds tolerance 1e-06
w =

   0.241063917347678   0.226266277883894   0.655150193154830   0.617912137531347

PASSES 2 out of 2 tests
w =

   0.441917190222542   0.504899500117061   0.278986463743575   0.303982347703180

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.1564508847464449   0.0214549838999318   0.3841178743901574

 Column 4:

   0.4706095585621403

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.009172681343214
   0.037696417271737
   0.085260473318410
   0.148857995337388
   0.223152335174984
   0.301599104445849
   0.377853755305372
   0.446884980559128
   0.505471881857387
   0.552125145207228
   0.586678606263835
   0.609801084459018
   0.622579874610712
   0.626227789166493
   0.621906125886712
   0.610633666370957
   0.593250762079287
   0.570414548245484
   0.542609299246256
   0.613256269956642
   0.473259720902879
   0.431960197876444
   0.386204054837259
   0.335818325498738
   0.280516774227524
   0.219894693698082
   0.153417864118779
   0.080404695119379
   0.000000000000000
but got
   0.000000000000000
   0.009172681343214
   0.037696417271737
   0.085260473318410
   0.148857995337388
   0.223152335174984
   0.301599104445849
   0.377853755305372
   0.446884980559128
   0.505471881857387
   0.552125145207228
   0.586678606263835
   0.609801084459018
   0.622579874610712
   0.626227789166493
   0.621906125886712
   0.610633666370957
   0.593250762079287
   0.570414548245484
   0.542609299246256
   0.510162278381751
   0.473259720902879
   0.431960197876443
   0.386204054837259
   0.335818325498738
   0.280516774227524
   0.219894693698082
   0.153417864118779
   0.080404695119379
   0.000000000000000
maximum absolute error 0.103094 exceeds tolerance 1e-06
w =

   0.376536993115434   0.325601933112773   0.773251634871305   0.737269362447754

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.007139868012126
   0.027555405334899
   0.059249084262487
   0.099769124065045
   0.146472911807991
   0.196764315501706
   0.248272997613469
   0.298964076051470
   0.347183066054229
   0.391650631389570
   0.431424530066096
   0.465844416817182
   0.494471297347235
   0.517029230974390
   0.533353334431870
   0.543345581389784
   0.546938267868539
   0.646621530239749
   0.534631526481671
   0.518503499821750
   0.495478442649312
   0.465271466705115
   0.427494468360848
   0.381633303032331
   0.327020052592428
   0.464381471771269
   0.187875276404551
   0.100864771107054
   0.000000000000000
but got
   0.000000000000000
   0.007139868012126
   0.027555405334899
   0.059249084262487
   0.099769124065045
   0.146472911807991
   0.196764315501706
   0.248272997613469
   0.298964076051470
   0.347183066054229
   0.391650631389570
   0.431424530066096
   0.465844416817182
   0.494471297347234
   0.517029230974390
   0.533353334431870
   0.543345581389784
   0.546938267868539
   0.544064110703216
   0.534631526481671
   0.518503499821750
   0.495478442649312
   0.465271466705115
   0.427494468360848
   0.381633303032331
   0.327020052592428
   0.262797895639680
   0.187875276404551
   0.100864771107054
   0.000000000000000
maximum absolute error 0.201584 exceeds tolerance 1e-06
w =

   0.860898946627609   0.390966535848115   0.992943519245866   0.117797118199190

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000005918997496
   0.000049656760430
   0.000669943354527
   0.000428770567706
   0.000862045813036
   0.001524584225770
   0.002464852991933
   0.003728808915753
   0.005360025893061
   0.007400874448680
   0.009894695854769
   0.012888884635730
   0.016438849982476
   0.027415204557607
   0.025498825657013
   0.031211477155743
   0.037904713066649
   0.045787380575508
   0.055147963139143
   0.066393283352587
   0.080112199133988
   0.097185716595615
   0.118988659754159
   0.147786116662342
   0.187586236517724
   0.246207573032032
   0.341206723648008
   0.521874635386314
   1.000000000000000
but got
   0.000000000000000
   0.000005918997496
   0.000049656760430
   0.000174657740099
   0.000428770567706
   0.000862045813036
   0.001524584225770
   0.002464852991933
   0.003728808915753
   0.005360025893061
   0.007400874448680
   0.009894695854769
   0.012888884635730
   0.016438849982476
   0.020612964382545
   0.025498825657013
   0.031211477155743
   0.037904713066649
   0.045787380575508
   0.055147963139143
   0.066393283352587
   0.080112199133988
   0.097185716595615
   0.118988659754159
   0.147786116662342
   0.187586236517724
   0.246207573032032
   0.341206723648008
   0.521874635386314
   1.000000000000000
maximum absolute error 0.00680224 exceeds tolerance 1e-06
w =

   0.344331860669923   0.462570952109756   0.447855658881556   0.237267587232599

PASSES 2 out of 2 tests
w =

   0.807070685070998   0.801534503655629   0.810971563056440   0.489547631737138

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000262981699193
   0.000199224239408
   0.000672861866964
   0.001596365736531
   0.023138930642462
   0.005402722908633
   0.008597313542270
   0.012868143754223
   0.018385140900202
   0.025327889527868
   0.033888650296669
   0.044276016299200
   0.056719352097008
   0.071474212979689
   0.088829012472812
   0.109113302794100
   0.132708167518068
   0.160059415944839
   0.191694541975324
   0.228244809607414
   0.270474421084915
   0.319319624205675
   0.375942009349379
   0.441802454994241
   0.518765768261607
   0.609252063812073
   0.716461272719146
   0.844715689243079
   1.000000000000000
but got
   0.000000000000000
   0.000024887229471
   0.000199224239408
   0.000672861866964
   0.001596365736531
   0.003121614022358
   0.005402722908633
   0.008597313542270
   0.012868143754223
   0.018385140900202
   0.025327889527868
   0.033888650296669
   0.044276016299200
   0.056719352097008
   0.071474212979689
   0.088829012472812
   0.109113302794100
   0.132708167518068
   0.160059415944839
   0.191694541975324
   0.228244809607414
   0.270474421084915
   0.319319624205675
   0.375942009349379
   0.441802454994241
   0.518765768261606
   0.609252063812073
   0.716461272719146
   0.844715689243079
   1.000000000000000
maximum absolute error 0.0200173 exceeds tolerance 1e-06
w =

 Columns 1 through 3:

   0.9512693144071073   0.5394070850213528   0.1744216842700039

 Column 4:

   0.0348124091923401

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 3),w (3) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000660997125690
   0.018086373797045
   0.006084282006759
   0.010946583934442
   0.017317926925545
   0.025261539315806
   0.034846258846553
   0.046146567008259
   0.059242443794854
   0.074218940506932
   0.091165317077887
   0.110173512308377
   0.131335594762551
   0.154739653116746
   0.180463284010799
   0.208563348067100
   0.000000000000000
   0.271910500336631
   0.306969904124058
   0.343923528010388
   0.382178072106730
   0.420674946780466
   0.457561923879460
   0.489590171437773
   0.510945889129125
   0.510823803993362
   0.467902625695547
   0.336068404715463
   0.000000000000000
but got
   0.000000000000000
   0.000660997125690
   0.002673256768105
   0.006084282006759
   0.010946583934442
   0.017317926925545
   0.025261539315806
   0.034846258846553
   0.046146567008259
   0.059242443794854
   0.074218940506932
   0.091165317077887
   0.110173512308377
   0.131335594762551
   0.154739653116746
   0.180463284010799
   0.208563348067100
   0.239059858417584
   0.271910500336631
   0.306969904124058
   0.343923528010388
   0.382178072106730
   0.420674946780466
   0.457561923879460
   0.489590171437773
   0.510945889129125
   0.510823803993362
   0.467902625695547
   0.336068404715463
   0.000000000000000
maximum absolute error 0.23906 exceeds tolerance 1e-06
w =

   0.525326683232430   0.561241200419038   0.494924498888818   0.570458945173994

PASSES 2 out of 2 tests
w =

   0.724101895515810   0.583491700955536   0.924162201566522   0.491817628001865

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000028353408911
   0.000332859641472
   0.000783943418334
   0.001870167794806
   0.074734615210297
   0.006335434260565
   0.010042304330877
   0.014935726826289
   0.021159390126747
   0.028853440232461
   0.038159088370041
   0.049224297553012
   0.062210485837035
   0.077300322180302
   0.094706860313701
   0.114684463264563
   0.137542235937041
   0.163661042971066
   0.193515707888272
   0.227704774370094
   0.285878175015706
   0.312361308773127
   0.365105853010405
   0.426946522514201
   0.500224618664399
   0.588201906821106
   0.695555490000378
   0.829231180749668
   1.000000000000000
but got
   0.000000000000000
   0.000028353408911
   0.000229981806297
   0.000783943418334
   0.001870167794806
   0.003664522131710
   0.006335434260565
   0.010042304330877
   0.014935726826289
   0.021159390126747
   0.028853440232461
   0.038159088370041
   0.049224297553012
   0.062210485837035
   0.077300322180302
   0.094706860313701
   0.114684463264563
   0.137542235937041
   0.163661042971066
   0.193515707888272
   0.227704774370094
   0.266991444066197
   0.312361308773127
   0.365105853010405
   0.426946522514201
   0.500224618664399
   0.588201906821106
   0.695555490000378
   0.829231180749668
   1.000000000000000
maximum absolute error 0.0710701 exceeds tolerance 1e-06
w =

   0.695862468693127   0.178335190225215   0.480371498735518   0.656522217143150

PASSES 2 out of 2 tests
w =

   0.145617237282955   0.642544625850709   0.344287884703859   0.632223003712454

PASSES 2 out of 2 tests
w =

   0.724902746484935   0.400899911282862   0.218173126215285   0.363083612474368

PASSES 2 out of 2 tests
w =

   0.235383505824929   0.400019839494519   0.485147600993155   0.456042279191449

PASSES 2 out of 2 tests
w =

 Columns 1 through 3:

   0.6860126355787336   0.0178536920770131   0.8508440734267076

 Column 4:

   0.6559906793595138

  ***** test
 U = [0 0 0 0 1 1 1 1];
 x = [0 1/3 2/3 1] ;
 y = [0 0 0 0];
 format long
 w = rand(1,4)
 nrb = nrbmak ([x;y;y;w], U);
 u = linspace(0, 1, 30);
 B = nrbbasisfun (u, nrb);
 xplot = sum(bsxfun(@(x,y) x.*y, B, x),2);

 yy = y; yy(1) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U); 
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,1), aux(1,:).', w(1)*aux(2,:).')
 assert(B(:,1), w(1)*aux(2,:).', 1e-6)
 
 yy = y; yy(2) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2, u);
 %figure, plot(xplot, B(:,2), aux(1,:).', w(2)*aux(2,:).')
 assert(B(:,2), w(2)*aux(2,:).', 1e-6)

 yy = y; yy(3) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,3), aux(1,:).', w(3)*aux(2,:).')
 assert(B(:,3), w(3)*aux(2,:).', 1e-6)

 yy = y; yy(4) = 1;
 nrb2 = nrbmak ([x.*w;yy;y;w], U);
 aux = nrbeval(nrb2,u);
 %figure, plot(xplot, B(:,4), aux(1,:).', w(4)*aux(2,:).')
 assert(B(:,4), w(4)*aux(2,:).', 1e-6)
!!!!! test failed
assert (B (:, 4),w (4) * aux (2, :).',1e-6) expected
   0.000000000000000
   0.000043232744996
   0.000378589026975
   0.001385789076901
   0.003523325328606
   0.007287999685763
   0.013154027140926
   0.021505296869295
   0.032581274343616
   0.046454831874433
   0.063048636772436
   0.082182091905494
   0.103631633631720
   0.127187220998048
   0.152694529793574
   0.180080407265703
   0.209364753049950
   0.240664258865637
   0.274193330386772
   0.310266410615547
   0.349304820344121
   0.391850617517110
   0.175640226781075
   0.490389786276306
   0.548351468838982
   0.613891874071664
   0.688862826353427
   0.775732928666324
   0.877870625267394
   1.000000000000000
but got
   0.000000000000000
   0.000043232744996
   0.000378589026975
   0.001385789076901
   0.003523325328606
   0.007287999685763
   0.013154027140926
   0.021505296869295
   0.032581274343616
   0.046454831874433
   0.063048636772436
   0.082182091905494
   0.103631633631720
   0.127187220998048
   0.152694529793574
   0.180080407265703
   0.209364753049950
   0.240664258865637
   0.274193330386772
   0.310266410615547
   0.349304820344121
   0.391850617517110
   0.438590026805282
   0.490389786276306
   0.548351468838981
   0.613891874071664
   0.688862826353427
   0.775732928666324
   0.877870625267393
   1.000000000000000
maximum absolute error 0.26295 exceeds tolerance 1e-06


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