Merge a3c0ba2 into 56cdb82

benchmark_problems/simple_tests/cubic.dat

@@ -0,0 +1,215 @@
+NIST/ITL StRD
+Dataset Name:  cubic             (cubic.dat)
+
+File Format:   ASCII
+               Starting Values   (lines 41 to  44)
+               Certified Values  (lines 41 to  49)
+               Data              (lines 62 to 215)
+
+Procedure:     Nonlinear Least Squares Regression
+
+Description:   This is a simple test problem where we interpolate 
+               points that lie exactly on a cubic polynomial.
+
+
+
+Reference:     Rees, T and Wathen, M.
+
+
+
+
+
+
+
+
+Data:          1 Response Variable  (y)
+               1 Predictor Variable (x)
+               154 Observations
+
+
+
+Model:         Miscellaneous Class
+               4 Parameters (b1 to b4)
+
+               y = b1 + b2*x + b3*x**2 + b4*x**3 + e
+
+
+
+          Starting values                  Certified Values
+
+        Start 1     Start 2         Parameter     Standard Deviation
+  b1 =   0           4.01            4.0  2.9715175411E+02
+  b2 =   0           2.98            3.0   1.2448871856E+00
+  b3 =   0           2.01            2.0    2.0272299378E-02
+  b4 =   0          1.02            1.0    1.0
+
+Residual Sum of Squares:                    0.0
+Residual Standard Deviation:                0.0
+Degrees of Freedom:                               150
+Number of Observations:                           154
+
+
+
+
+
+
+
+
+
+
+
+Data:   y               x
+	 10.000000000000 	  1.000000000000 
+	 10.264873266720 	  1.026143790850 
+	 10.536688726782 	  1.052287581699 
+	 10.815553595525 	  1.078431372549 
+	 11.101575088292 	  1.104575163399 
+	 11.394860420424 	  1.130718954248 
+	 11.695516807261 	  1.156862745098 
+	 12.003651464146 	  1.183006535948 
+	 12.319371606418 	  1.209150326797 
+	 12.642784449420 	  1.235294117647 
+	 12.973997208492 	  1.261437908497 
+	 13.313117098976 	  1.287581699346 
+	 13.660251336213 	  1.313725490196 
+	 14.015507135544 	  1.339869281046 
+	 14.378991712310 	  1.366013071895 
+	 14.750812281852 	  1.392156862745 
+	 15.131076059512 	  1.418300653595 
+	 15.519890260631 	  1.444444444444 
+	 15.917362100550 	  1.470588235294 
+	 16.323598794609 	  1.496732026144 
+	 16.738707558151 	  1.522875816993 
+	 17.162795606516 	  1.549019607843 
+	 17.595970155046 	  1.575163398693 
+	 18.038338419082 	  1.601307189542 
+	 18.490007613964 	  1.627450980392 
+	 18.951084955035 	  1.653594771242 
+	 19.421677657635 	  1.679738562092 
+	 19.901892937106 	  1.705882352941 
+	 20.391838008788 	  1.732026143791 
+	 20.891620088023 	  1.758169934641 
+	 21.401346390152 	  1.784313725490 
+	 21.921124130516 	  1.810457516340 
+	 22.451060524456 	  1.836601307190 
+	 22.991262787314 	  1.862745098039 
+	 23.541838134431 	  1.888888888889 
+	 24.102893781147 	  1.915032679739 
+	 24.674536942805 	  1.941176470588 
+	 25.256874834745 	  1.967320261438 
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+	 28.981495581416 	  2.124183006536 
+	 29.641698614884 	  2.150326797386 
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+	 30.996869256196 	  2.202614379085 
+	 31.692051294723 	  2.228758169935 
+	 32.399107432285 	  2.254901960784 
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+	 33.849270865878 	  2.307189542484 
+	 34.592592592593 	  2.333333333333 
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+	 36.116252142562 	  2.385620915033 
+	 36.896804396499 	  2.411764705882 
+	 37.689981256860 	  2.437908496732 
+	 38.495889938985 	  2.464052287582 
+	 39.314637658216 	  2.490196078431 
+	 40.146331629894 	  2.516339869281 
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+	 42.720163213020 	  2.594771241830 
+	 43.604714347898 	  2.620915032680 
+	 44.502747811928 	  2.647058823529 
+	 45.414370820451 	  2.673202614379 
+	 46.339690588810 	  2.699346405229 
+	 47.278814332346 	  2.725490196078 
+	 48.231849266399 	  2.751633986928 
+	 49.198902606310 	  2.777777777778 
+	 50.180081567421 	  2.803921568627 
+	 51.175493365074 	  2.830065359477 
+	 52.185245214608 	  2.856209150327 
+	 53.209444331366 	  2.882352941176 
+	 54.248197930688 	  2.908496732026 
+	 55.301613227916 	  2.934640522876 
+	 56.369797438391 	  2.960784313725 
+	 57.452857777454 	  2.986928104575 
+	 58.550901460446 	  3.013071895425 
+	 59.664035702709 	  3.039215686275 
+	 60.792367719583 	  3.065359477124 
+	 61.936004726410 	  3.091503267974 
+	 63.095053938530 	  3.117647058824 
+	 64.269622571286 	  3.143790849673 
+	 65.459817840019 	  3.169934640523 
+	 66.665746960068 	  3.196078431373 
+	 67.887517146776 	  3.222222222222 
+	 69.125235615484 	  3.248366013072 
+	 70.379009581533 	  3.274509803922 
+	 71.648946260265 	  3.300653594771 
+	 72.935152867019 	  3.326797385621 
+	 74.237736617138 	  3.352941176471 
+	 75.556804725963 	  3.379084967320 
+	 76.892464408834 	  3.405228758170 
+	 78.244822881094 	  3.431372549020 
+	 79.613987358083 	  3.457516339869 
+	 81.000065055142 	  3.483660130719 
+	 82.403163187613 	  3.509803921569 
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+	 89.677712918080 	  3.640522875817 
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+	 92.710428395090 	  3.692810457516 
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+	 97.393855835013 	  3.771241830065 
+	 98.991254969529 	  3.797385620915 
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+	 110.691649516400 	  3.980392156863 
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+	 115.989822918787 	  4.058823529412 
+	 117.794496111629 	  4.084967320261 
+	 119.618655692730 	  4.111111111111 
+	 121.462408877430 	  4.137254901961 
+	 123.325862881072 	  4.163398692810 
+	 125.209124918995 	  4.189542483660 
+	 127.112302206542 	  4.215686274510 
+	 129.035501959053 	  4.241830065359 
+	 130.978831391870 	  4.267973856209 
+	 132.942397720334 	  4.294117647059 
+	 134.926308159786 	  4.320261437908 
+	 136.930669925566 	  4.346405228758 
+	 138.955590233017 	  4.372549019608 
+	 141.001176297480 	  4.398692810458 
+	 143.067535334295 	  4.424836601307 
+	 145.154774558805 	  4.450980392157 
+	 147.263001186349 	  4.477124183007 
+	 149.392322432269 	  4.503267973856 
+	 151.542845511907 	  4.529411764706 
+	 153.714677640604 	  4.555555555556 
+	 155.907926033700 	  4.581699346405 
+	 158.122697906537 	  4.607843137255 
+	 160.359100474456 	  4.633986928105 
+	 162.617240952798 	  4.660130718954 
+	 164.897226556905 	  4.686274509804 
+	 167.199164502117 	  4.712418300654 
+	 169.523162003777 	  4.738562091503 
+	 171.869326277224 	  4.764705882353 
+	 174.237764537800 	  4.790849673203 
+	 176.628584000847 	  4.816993464052 
+	 179.041891881705 	  4.843137254902 
+	 181.477795395715 	  4.869281045752 
+	 183.936401758220 	  4.895424836601 
+	 186.417818184560 	  4.921568627451 
+	 188.922151890075 	  4.947712418301 
+	 191.449510090108 	  4.973856209150 
+	 194.000000000000 	  5.000000000000 

benchmark_problems/simple_tests/exponential.dat

@@ -0,0 +1,161 @@
+NIST/ITL StRD
+Dataset Name:  exponential        (exponential.dat)
+
+File Format:   ASCII
+               Starting Values   (lines 41 to  43)
+               Certified Values  (lines 41 to  49)
+               Data              (lines 61 to  161)
+
+Procedure:     Nonlinear Least Squares Regression
+
+Description:   This is a simple test problem where we 
+	       fit an exact exponential
+
+
+
+Reference:     Rees, T
+
+
+
+
+
+
+
+
+Data:          1 Response Variable  (y)
+               1 Predictor Variable (x)
+               101 Observations
+
+
+
+Model:         Miscellaneous Class
+               3 Parameters (b1 to b3)
+
+               y = b1 * exp(-((b2-x)/b3)^2) + e
+
+
+
+          Starting values                  Certified Values
+
+        Start 1     Start 2         Parameter     Standard Deviation
+  b1 =   1.0           10.01            10.0     2.9715175411E+02
+  b2 =   1.0           2.55            2.5      1.2448871856E+00
+  b3 =   1.0           2.4             2.0      2.0272299378E-02
+
+Residual Sum of Squares:                    0.0
+Residual Standard Deviation:                0.0
+Degrees of Freedom:                               98
+Number of Observations:                           101
+
+
+
+
+
+
+
+
+
+
+
+Data:   y               x
+	  2.096113871511 	  0.000000000000 
+	  2.229907473694 	  0.050000000000 
+	  2.369277586821 	  0.100000000000 
+	  2.514213655903 	  0.150000000000 
+	  2.664682978135 	  0.200000000000 
+	  2.820629516938 	  0.250000000000 
+	  2.981972794299 	  0.300000000000 
+	  3.148606874647 	  0.350000000000 
+	  3.320399453447 	  0.400000000000 
+	  3.497191063509 	  0.450000000000 
+	  3.678794411714 	  0.500000000000 
+	  3.864993858345 	  0.550000000000 
+	  4.055545050633 	  0.600000000000 
+	  4.250174721337 	  0.650000000000 
+	  4.448580662229 	  0.700000000000 
+	  4.650431881341 	  0.750000000000 
+	  4.855368951541 	  0.800000000000 
+	  5.063004556734 	  0.850000000000 
+	  5.272924240430 	  0.900000000000 
+	  5.484687359889 	  0.950000000000 
+	  5.697828247309 	  1.000000000000 
+	  5.911857577782 	  1.050000000000 
+	  6.126263941844 	  1.100000000000 
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