for i=1:15
err(:,i) = GPSGuassCalc([0;0;6370;0],7,randi([-1,1],1,7))
end

err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019347686334611  -0.019701205615910
   0.011316502941855   0.011297909609509   0.011224143139151
   6.370003332023699   6.370446325839931   6.370323425434559
   0.000000100009326   0.000000098702922   0.000000097636270

  Columns 4 through 6

  -0.019279567526394  -0.019769325436549  -0.018327421311966
   0.011309591319306   0.011212461252942   0.011381541442250
   6.370689963031470   6.370079786130165   6.369594640088852
   0.000000098749142   0.000000097600034   0.000000102656490

  Columns 7 through 9

  -0.019093518006907  -0.018513457817839  -0.019121117791570
   0.011304480852009   0.011386652399706   0.011306318455685
   6.370425817673680   6.369858767911017   6.369756367275342
   0.000000099544149   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019701205615910
   0.011316502941855   0.011314718954252   0.011224143139151
   6.370003332023699   6.370004026053674   6.370323425434559
   0.000000100009326   0.000000100009281   0.000000097636270

  Columns 4 through 6

  -0.019279567526394  -0.019769325436549  -0.018327421311966
   0.011309591319306   0.011212461252942   0.011381541442250
   6.370689963031470   6.370079786130165   6.369594640088852
   0.000000098749142   0.000000097600034   0.000000102656490

  Columns 7 through 9

  -0.019093518006907  -0.018513457817839  -0.019121117791570
   0.011304480852009   0.011386652399706   0.011306318455685
   6.370425817673680   6.369858767911017   6.369756367275342
   0.000000099544149   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019279567526394  -0.019769325436549  -0.018327421311966
   0.011309591319306   0.011212461252942   0.011381541442250
   6.370689963031470   6.370079786130165   6.369594640088852
   0.000000098749142   0.000000097600034   0.000000102656490

  Columns 7 through 9

  -0.019093518006907  -0.018513457817839  -0.019121117791570
   0.011304480852009   0.011386652399706   0.011306318455685
   6.370425817673680   6.369858767911017   6.369756367275342
   0.000000099544149   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019769325436549  -0.018327421311966
   0.011315096295090   0.011212461252942   0.011381541442250
   6.369999047897492   6.370079786130165   6.369594640088852
   0.000000099997182   0.000000097600034   0.000000102656490

  Columns 7 through 9

  -0.019093518006907  -0.018513457817839  -0.019121117791570
   0.011304480852009   0.011386652399706   0.011306318455685
   6.370425817673680   6.369858767911017   6.369756367275342
   0.000000099544149   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.018327421311966
   0.011315096295090   0.011319344680492   0.011381541442250
   6.369999047897492   6.370011787094948   6.369594640088852
   0.000000099997182   0.000000100033273   0.000000102656490

  Columns 7 through 9

  -0.019093518006907  -0.018513457817839  -0.019121117791570
   0.011304480852009   0.011386652399706   0.011306318455685
   6.370425817673680   6.369858767911017   6.369756367275342
   0.000000099544149   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019093518006907  -0.018513457817839  -0.019121117791570
   0.011304480852009   0.011386652399706   0.011306318455685
   6.370425817673680   6.369858767911017   6.369756367275342
   0.000000099544149   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.018513457817839  -0.019121117791570
   0.011318769837714   0.011386652399706   0.011306318455685
   6.369999114101071   6.369858767911017   6.369756367275342
   0.000000100003719   0.000000101861556   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019121117791570
   0.011318769837714   0.011322313328802   0.011306318455685
   6.369999114101071   6.370006529750164   6.369756367275342
   0.000000100003719   0.000000100014041   0.000000099963761

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.018916764604831  -0.019592564286100  -0.018935072111741
   0.011341363060264   0.011249344787439   0.011301208093429
   6.370487266519589   6.370141237880559   6.369492235310088
   0.000000100082454   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.019054521460660  -0.019592564286100  -0.018935072111741
   0.011317183296093   0.011249344787439   0.011301208093429
   6.369998271354387   6.370141237880559   6.369492235310088
   0.000000099996706   0.000000098128368   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.019054521460660  -0.019058960260439  -0.018935072111741
   0.011317183296093   0.011322286641067   0.011301208093429
   6.369998271354387   6.370006599800821   6.369492235310088
   0.000000099996706   0.000000100010259   0.000000100758722

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.019054521460660  -0.019058960260439  -0.019054591204564
   0.011317183296093   0.011322286641067   0.011319495514910
   6.369998271354387   6.370006599800821   6.369999407914587
   0.000000099996706   0.000000100010259   0.000000100000418

  Columns 13 through 15

  -0.019415805206561  -0.019012482418020  -0.018944365036967
   0.011286227890151   0.011331519011981   0.011343200482471
   6.370202689006283   6.369574188070827   6.369817819202056
   0.000000098666694   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.019054521460660  -0.019058960260439  -0.019054591204564
   0.011317183296093   0.011322286641067   0.011319495514910
   6.369998271354387   6.370006599800821   6.369999407914587
   0.000000099996706   0.000000100010259   0.000000100000418

  Columns 13 through 15

  -0.019054080767751  -0.019012482418020  -0.018944365036967
   0.011316660185709   0.011331519011981   0.011343200482471
   6.370002085148786   6.369574188070827   6.369817819202056
   0.000000100002971   0.000000100455825   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.019054521460660  -0.019058960260439  -0.019054591204564
   0.011317183296093   0.011322286641067   0.011319495514910
   6.369998271354387   6.370006599800821   6.369999407914587
   0.000000099996706   0.000000100010259   0.000000100000418

  Columns 13 through 15

  -0.019054080767751  -0.019053422015253  -0.018944365036967
   0.011316660185709   0.011317424990364   0.011343200482471
   6.370002085148786   6.370005295931216   6.369817819202056
   0.000000100002971   0.000000100008099   0.000000100492069


err =

  1.0e+003 *

  Columns 1 through 3

  -0.019055693407985  -0.019052020735423  -0.019052570987529
   0.011316502941855   0.011314718954252   0.011312378676085
   6.370003332023699   6.370004026053674   6.369994685756920
   0.000000100009326   0.000000100009281   0.000000099983016

  Columns 4 through 6

  -0.019054895391347  -0.019048915970661  -0.019055094901316
   0.011315096295090   0.011319344680492   0.011320677927501
   6.369999047897492   6.370011787094948   6.369990316902707
   0.000000099997182   0.000000100033273   0.000000099994428

  Columns 7 through 9

  -0.019053834408521  -0.019054599169804  -0.019056008985707
   0.011318769837714   0.011322313328802   0.011319041047146
   6.369999114101071   6.370006529750164   6.369999448524951
   0.000000100003719   0.000000100014041   0.000000100001702

  Columns 10 through 12

  -0.019054521460660  -0.019058960260439  -0.019054591204564
   0.011317183296093   0.011322286641067   0.011319495514910
   6.369998271354387   6.370006599800821   6.369999407914587
   0.000000099996706   0.000000100010259   0.000000100000418

  Columns 13 through 15

  -0.019054080767751  -0.019053422015253  -0.019051171508619
   0.011316660185709   0.011317424990364   0.011320504551674
   6.370002085148786   6.370005295931216   6.369999676033825
   0.000000100002971   0.000000100008099   0.000000099997125

extraTruePos = GPSGuassCalc([0;0;6370;0],7,zeros(1,7));
for j=1:15
extraInfNorm = norm(extraTruePos - err(:,j),inf);
end
max(extraInfNorm)

extraInfNorm =

   0.002504551675006

extraErrMagFact = ans/.003

extraErrMagFact =

   0.834850558335395