31-Mar-2019 16:32:07 test_triangulation_test MATLAB version Test test_triangulation. TEST01 P00_TEST_NUM reports the number of problems. P00_TITLE returns a title for each problem. P00_HEADER prints some information about each problem. The number of tests available = 15 Test number: 1 Title: "#1: The unit circle." P01: Strang and Persson example #1 The unit circle. Radius = 1.000000 Center = (0.000000, 0.000000) A uniform mesh density is requested. Element sizes tried were 0.4, 0.2, 0.1. Number of boundary segments = 1 Number of fixed points = 0 Number of holes = 0 Test number: 2 Title: "#2: The circle with concentric circular hole." P02: Strang and Persson example #2 The unit circle, with a concentric hole. Radius1 = 1.000000 Center = (0.000000, 0.000000) A uniform mesh density is requested. Element sizes tried were 0.4, 0.2, 0.1. Number of boundary segments = 2 Number of fixed points = 0 Number of holes = 1 Test number: 3 Title: "#3: The unit square with circular hole." P03: Strang and Persson example #3 The unit square, with a hole. The hole is a concentric circle of radius 0.4. A uniform mesh density is requested. Element sizes tried were 0.4, 0.2, 0.1. Number of boundary segments = 2 Number of fixed points = 4 Number of holes = 1 Test number: 4 Title: "#4: The unit hexagon with hexagonal hole." P04: Strang and Persson example #4 The hexagon with hexagonal hole. Radius of outer hexagon R1 = 1.000000 Radius of outer hexagon R2 = 0.500000 A uniform mesh density is requested. Element sizes tried were ? Number of boundary segments = 2 Number of fixed points = 12 Number of holes = 1 Test number: 5 Title: "#5: The horn." P05: Strang and Persson example #5 The horn. Circle C1 has center = (0,0) Radius R1 = 1.000000 Circle C2 has center = (-0.4,0) Radius R2 = 0.550000 Points in the region are: in C1 and not in C2 and have 0 <= Y. A uniform mesh density is requested. Element sizes tried were 0.4, 0.2, 0.1. Number of boundary segments = 1 Number of fixed points = 4 Number of holes = 0 Test number: 6 Title: "#6: The superellipse with superelliptical hole." P06: Strang and Persson example #6 Superellipse with superelliptical hole. Radius R1 = 1.000000 Radius R2 = 0.500000 A uniform mesh density is requested. Element sizes tried were 0.4, 0.2, 0.1. Number of boundary segments = 2 Number of fixed points = 0 Number of holes = 1 Test number: 7 Title: "#7: Bicycle seat (implicit)." P07: Strang and Persson example #7 Bicycle seat (implicit). A uniform mesh density is requested. The boundary is formed by two algebraic expressions. Number of boundary segments = 1 Number of fixed points = 2 Number of holes = 0 Test number: 8 Title: "#8: Pie slice with notch and hole." P08: Strang and Persson example #7 Pie slice with notch and hole. A uniform mesh density is requested. Number of boundary segments = 2 Number of fixed points = 6 Number of holes = 1 Test number: 9 Title: "#9: Jeff Borggaard's Box with 2 hexagonal holes." P09: Jeff Borggaard's example A square with 2 hexagonal holes. The square has "center" at (0.500000, 0.500000) and "radius" R1 = 0.500000 Hexagon 1 has "center" at (0.250000, 0.750000) and "radius" R2 = 0.100000 Hexagon 2 has "center" at (0.600000, 0.400000) and "radius" R3 = 0.100000 A uniform mesh density is requested. Number of boundary segments = 3 Number of fixed points = 16 Number of holes = 2 Test number: 10 Title: "#10: The unit square." P10: The unit square. Number of boundary segments = 1 Number of fixed points = 4 Number of holes = 0 Test number: 11 Title: "#11: The L-shaped region." P11: The L-shaped region. The lower left corner of the indentation is P = (0.500000, 0.500000) Number of boundary segments = 1 Number of fixed points = 6 Number of holes = 0 Test number: 12 Title: "#12: John Shadid's H-shaped region." P12: John Shadid's H-shaped region. Number of boundary segments = 1 Number of fixed points = 12 Number of holes = 0 Test number: 13 Title: "#13: The Sandia Fork region." P13: The Sandia Fork region. Number of boundary segments = 1 Number of fixed points = 8 Number of holes = 0 Test number: 14 Title: "#14: Marcus Garvie's Lake Alpha with Beta Island." P14: Marcus Garvie's Lake Alpha and Beta island. Number of boundary segments = 2 Number of fixed points = 101 Number of holes = 1 Test number: 15 Title: "#15: Sangbum Kim's forward step." P15: Sangbum Kim's forward step. Number of boundary segments = 1 Number of fixed points = 8 Number of holes = 0 TEST02 P00_TEST_NUM reports the number of problems. P00_SAMPLE returns sample points from the region. Test number = 1 Title: = "#1: The unit circle." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.182719 0.908686 2 0.882655 -0.248530 3 0.168080 -0.307982 4 -0.080243 -0.032763 5 -0.439650 0.258865 6 0.873988 0.385525 7 -0.016046 0.336759 8 0.457004 0.377857 9 0.872951 0.246665 10 -0.344310 -0.385464 11 0.770117 0.314621 12 -0.712087 0.233654 13 -0.755233 0.539294 14 0.019778 -0.673352 15 0.279579 -0.913133 16 0.773199 0.008931 17 0.347621 -0.260987 18 -0.516254 0.703544 19 0.522130 0.352660 20 0.428907 0.036786 Test number = 2 Title: = "#2: The circle with concentric circular hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.185100 0.920532 2 0.895921 -0.252265 3 0.245863 -0.450509 4 -0.377553 -0.154156 5 -0.530260 0.312216 6 0.880668 0.388471 7 -0.024057 0.504875 8 0.520067 0.429999 9 0.887855 0.250877 10 -0.413022 -0.462389 11 0.797059 0.325628 12 -0.755239 0.247813 13 -0.764908 0.546203 14 0.021599 -0.735337 15 0.281730 -0.920157 16 0.813733 0.009400 17 0.451474 -0.338959 18 -0.529031 0.720957 19 0.582130 0.393186 20 0.559785 0.048011 Test number = 3 Title: = "#3: The unit square with circular hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 -0.563163 0.912635 2 0.659018 0.123391 3 -0.169386 -0.867763 4 -0.484844 -0.780086 5 -0.912342 0.267931 6 -0.876546 -0.100922 7 -0.197387 0.509347 8 0.594574 -0.996323 9 0.795008 -0.298495 10 -0.810910 -0.972766 11 0.718194 0.681695 12 -0.753792 -0.984975 13 -0.479394 0.824967 14 -0.772672 -0.296743 15 0.645775 -0.465735 16 0.384133 0.123325 17 0.722432 -0.092412 18 0.823954 0.195834 19 -0.622091 0.522984 20 -0.206023 -0.629372 Test number = 4 Title: = "#4: The unit hexagon with hexagonal hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.659018 0.123391 2 -0.484844 -0.780086 3 -0.876546 -0.100922 4 -0.197387 0.509347 5 0.795008 -0.298495 6 -0.479394 0.824967 7 -0.772672 -0.296743 8 0.645775 -0.465735 9 0.722432 -0.092412 10 0.823954 0.195834 11 -0.622091 0.522984 12 -0.206023 -0.629372 13 -0.574140 0.428942 14 -0.764586 -0.401342 15 0.490606 -0.382650 16 0.523461 -0.186061 17 0.877499 0.124177 18 -0.964360 0.002206 19 -0.456553 0.717145 20 -0.292185 -0.761384 Test number = 5 Title: = "#5: The horn." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.659018 0.561695 2 -0.876546 0.449539 3 -0.197387 0.754673 4 0.594574 0.001838 5 0.795008 0.350752 6 0.645775 0.267132 7 0.384133 0.561662 8 0.722432 0.453794 9 -0.622091 0.761492 10 0.148732 0.367027 11 0.234410 0.361529 12 -0.574140 0.714471 13 0.490606 0.308675 14 0.523461 0.406970 15 -0.916181 0.368851 16 -0.456553 0.858573 17 0.225895 0.809519 18 0.174179 0.215492 19 0.536113 0.723297 20 -0.103962 0.855176 Test number = 6 Title: = "#6: The superellipse with superelliptical hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 -0.563163 0.912635 2 0.659018 0.123391 3 -0.169386 -0.867763 4 -0.484844 -0.780086 5 -0.912342 0.267931 6 -0.876546 -0.100922 7 -0.197387 0.509347 8 0.795008 -0.298495 9 0.718194 0.681695 10 -0.479394 0.824967 11 -0.772672 -0.296743 12 0.645775 -0.465735 13 0.722432 -0.092412 14 0.823954 0.195834 15 -0.622091 0.522984 16 -0.206023 -0.629372 17 -0.574140 0.428942 18 -0.764586 -0.401342 19 0.650006 0.649320 20 -0.876276 0.421561 Test number = 7 Title: = "#7: Bicycle seat (implicit)." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 5.175919 -1.629827 2 -1.330353 -4.603288 3 -3.807959 -4.340259 4 -7.165517 -1.196206 5 -1.550277 -0.471959 6 6.243979 -2.895486 7 5.640680 0.045085 8 -6.068551 -2.890228 9 5.071902 -3.397206 10 3.016974 -1.630025 11 5.673964 -2.277237 12 6.471320 -1.412499 13 -4.885888 -0.431048 14 -1.618101 -3.888115 15 1.168136 -2.797840 16 1.841049 -2.830828 17 -4.509285 -0.713173 18 -6.005046 -3.204025 19 5.105134 -0.052040 20 -6.882259 -0.735317 Test number = 8 Title: = "#8: Pie slice with notch and hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.125634 -0.007670 2 0.780340 -0.122542 3 0.659893 0.122315 4 0.398724 -0.065292 5 0.283876 0.046300 6 0.927307 0.097007 7 0.881428 0.073204 8 0.946194 0.122047 9 0.940488 0.153434 10 0.899288 0.037144 11 0.743388 -0.081184 12 0.453975 0.001577 13 0.977926 0.153148 14 0.756663 -0.160376 15 0.875457 0.144153 16 0.751858 -0.093672 17 0.713048 -0.041735 18 0.782910 0.065240 19 0.853619 0.047433 20 0.688783 -0.165017 Test number = 9 Title: = "#9: Jeff Borggaard's Box with 2 hexagonal holes." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.218418 0.956318 2 0.829509 0.561695 3 0.415307 0.066119 4 0.257578 0.109957 5 0.043829 0.633966 6 0.061727 0.449539 7 0.401306 0.754673 8 0.797287 0.001838 9 0.897504 0.350752 10 0.094545 0.013617 11 0.859097 0.840847 12 0.123104 0.007512 13 0.260303 0.912484 14 0.113664 0.351629 15 0.822887 0.267132 16 0.692066 0.561662 17 0.861216 0.453794 18 0.911977 0.597917 19 0.396988 0.185314 20 0.117707 0.299329 Test number = 10 Title: = "#10: The unit square." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.218418 0.956318 2 0.829509 0.561695 3 0.415307 0.066119 4 0.257578 0.109957 5 0.043829 0.633966 6 0.061727 0.449539 7 0.401306 0.754673 8 0.797287 0.001838 9 0.897504 0.350752 10 0.094545 0.013617 11 0.859097 0.840847 12 0.123104 0.007512 13 0.260303 0.912484 14 0.113664 0.351629 15 0.822887 0.267132 16 0.692066 0.561662 17 0.861216 0.453794 18 0.911977 0.597917 19 0.188955 0.761492 20 0.396988 0.185314 Test number = 11 Title: = "#11: The L-shaped region." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.109209 0.956318 2 0.414755 0.561695 3 0.207654 0.066119 4 0.128789 0.109957 5 0.021914 0.633966 6 0.530864 0.224769 7 0.200653 0.754673 8 0.398643 0.001838 9 0.948752 0.175376 10 0.547272 0.006808 11 0.429548 0.840847 12 0.561552 0.003756 13 0.130151 0.912484 14 0.556832 0.175814 15 0.911444 0.133566 16 0.346033 0.561662 17 0.930608 0.226897 18 0.955989 0.298958 19 0.594477 0.380746 20 0.198494 0.185314 Test number = 12 Title: = "#12: John Shadid's H-shaped region." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.527302 0.369540 2 0.414755 0.561695 3 0.780740 0.066119 4 0.128789 0.109957 5 0.021914 0.633966 6 0.648148 0.449539 7 0.200653 0.754673 8 0.398643 0.001838 9 0.961564 0.350752 10 0.660454 0.013617 11 0.429548 0.840847 12 0.671164 0.007512 13 0.130151 0.912484 14 0.667624 0.351629 15 0.933583 0.267132 16 0.346033 0.561662 17 0.947956 0.453794 18 0.966991 0.597917 19 0.695858 0.761492 20 0.198494 0.185314 Test number = 13 Title: = "#13: The Sandia Fork region." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 12.310392 0.751236 2 57.436586 36.702667 3 61.720483 36.152870 4 74.530307 30.867492 5 15.238379 11.431867 6 20.665276 21.292396 7 54.053860 83.228094 8 53.111085 37.997675 9 49.032273 85.415890 10 84.857995 8.314297 11 56.502614 39.439151 12 53.803625 77.524304 13 50.980575 30.532421 14 52.950225 34.429286 15 53.010092 40.624102 16 46.664356 87.835927 17 68.473125 27.811120 18 67.937532 26.101204 19 68.818572 33.742109 20 42.442830 36.648057 Test number = 14 Title: = "#14: Marcus Garvie's Lake Alpha with Beta Island." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 321.773982 188.241653 2 237.546541 216.911743 3 314.297554 638.556460 4 239.001801 741.764344 5 160.696601 374.965144 6 539.421827 319.704505 7 469.563511 512.327259 8 559.889232 441.781129 9 311.991846 266.195433 10 406.711370 385.035441 11 429.587378 381.439772 12 162.855467 340.761263 13 497.991839 346.873397 14 506.764165 411.158145 15 245.100403 706.506455 16 288.986476 223.027319 17 210.352573 284.252268 18 356.889754 336.172626 19 320.156471 247.644313 20 495.581815 443.288655 Test number = 15 Title: = "#15: Sangbum Kim's forward step." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 The sample points: Row: 1 2 Col 1 0.184183 0.956318 2 0.295092 -0.438305 3 2.153071 0.066119 4 -5.424222 -0.890043 5 -7.561710 -0.366034 6 -1.382728 0.449539 7 -3.986937 -0.245327 8 -0.027130 -0.998162 9 6.975041 0.350752 10 -1.054552 0.013617 11 0.590969 -0.159153 12 -0.768961 0.007512 13 -5.396970 -0.087516 14 -0.863360 0.351629 15 6.228873 0.267132 16 -1.079335 -0.438338 17 6.612158 0.453794 18 7.119770 0.597917 19 -0.110453 0.761492 20 -4.030115 -0.814686 TEST03 P00_BOUNDARY_NEAREST returns the nearest boundary point for a set of points. Test number = 1 Title: = "#1: The unit circle." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.182719 0.908686 0.197134 0.980377 0.882655 -0.248530 0.962570 -0.271032 0.168080 -0.307982 0.479049 -0.877788 -0.080243 -0.032763 -0.925802 -0.378008 -0.439650 0.258865 -0.861723 0.507380 0.873988 0.385525 0.914940 0.403589 -0.016046 0.336759 -0.047595 0.998867 0.457004 0.377857 0.770686 0.637215 0.872951 0.246665 0.962320 0.271918 -0.344310 -0.385464 -0.666173 -0.745798 0.770117 0.314621 0.925727 0.378193 -0.712087 0.233654 -0.950157 0.311771 -0.755233 0.539294 -0.813814 0.581125 0.019778 -0.673352 0.029360 -0.999569 0.279579 -0.913133 0.292761 -0.956186 0.773199 0.008931 0.999933 0.011551 0.347621 -0.260987 0.799700 -0.600400 -0.516254 0.703544 -0.591603 0.806229 0.522130 0.352660 0.828685 0.559715 0.428907 0.036786 0.996342 0.085453 Test number = 2 Title: = "#2: The circle with concentric circular hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.185100 0.920532 0.197134 0.980377 0.895921 -0.252265 0.962570 -0.271032 0.245863 -0.450509 0.191620 -0.351115 -0.377553 -0.154156 -0.370321 -0.151203 -0.530260 0.312216 -0.344689 0.202952 0.880668 0.388471 0.914940 0.403589 -0.024057 0.504875 -0.019038 0.399547 0.520067 0.429999 0.308275 0.254886 0.887855 0.250877 0.962320 0.271918 -0.413022 -0.462389 -0.266469 -0.298319 0.797059 0.325628 0.925727 0.378193 -0.755239 0.247813 -0.950157 0.311771 -0.764908 0.546203 -0.813814 0.581125 0.021599 -0.735337 0.029360 -0.999569 0.281730 -0.920157 0.292761 -0.956186 0.813733 0.009400 0.999933 0.011551 0.451474 -0.338959 0.319880 -0.240160 -0.529031 0.720957 -0.591603 0.806229 0.582130 0.393186 0.828685 0.559715 0.559785 0.048011 0.398537 0.034181 Test number = 3 Title: = "#3: The unit square with circular hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) -0.563163 0.912635 -0.563163 1.000000 0.659018 0.123391 0.393168 0.073615 -0.169386 -0.867763 -0.169386 -1.000000 -0.484844 -0.780086 -0.484844 -1.000000 -0.912342 0.267931 -1.000000 0.267931 -0.876546 -0.100922 -1.000000 -0.100922 -0.197387 0.509347 -0.144538 0.372973 0.594574 -0.996323 0.594574 -1.000000 0.795008 -0.298495 1.000000 -0.298495 -0.810910 -0.972766 -0.810910 -1.000000 0.718194 0.681695 1.000000 0.681695 -0.753792 -0.984975 -0.753792 -1.000000 -0.479394 0.824967 -0.479394 1.000000 -0.772672 -0.296743 -1.000000 -0.296743 0.645775 -0.465735 1.000000 -0.465735 0.384133 0.123325 0.380854 0.122272 0.722432 -0.092412 1.000000 -0.092412 0.823954 0.195834 1.000000 0.195834 -0.622091 0.522984 -1.000000 0.522984 -0.206023 -0.629372 -0.124441 -0.380150 Test number = 4 Title: = "#4: The unit hexagon with hexagonal hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.659018 0.123391 0.433013 0.123391 -0.484844 -0.780086 -0.533424 -0.808134 -0.876546 -0.100922 -0.925436 -0.129149 -0.197387 0.509347 -0.143993 0.416865 0.795008 -0.298495 0.819500 -0.312636 -0.479394 0.824967 -0.512627 0.844155 -0.772672 -0.296743 -0.814675 -0.320993 0.645775 -0.465735 0.709774 -0.502686 0.722432 -0.092412 0.890592 -0.189500 0.823954 0.195834 0.871190 0.223105 -0.622091 0.522984 -0.679064 0.555878 -0.206023 -0.629372 -0.098498 -0.443132 -0.574140 0.428942 -0.707797 0.506110 -0.764586 -0.401342 -0.767361 -0.402943 0.490606 -0.382650 0.418769 -0.258224 0.523461 -0.186061 0.433013 -0.186061 0.877499 0.124177 0.915605 0.146177 -0.964360 0.002206 -0.990135 0.017087 -0.456553 0.717145 -0.553605 0.773178 -0.292185 -0.761384 -0.292185 -0.866025 Test number = 5 Title: = "#5: The horn." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.659018 0.561695 0.761067 0.648673 -0.876546 0.449539 -0.889806 0.456339 -0.197387 0.754673 -0.140705 0.965798 0.594574 0.001838 0.594574 0.000000 0.795008 0.350752 0.914912 0.403653 0.645775 0.267132 0.568890 0.247493 0.384133 0.561662 0.412964 0.582314 0.722432 0.453794 0.846798 0.531914 -0.622091 0.761492 -0.632660 0.774430 0.148732 0.367027 0.431207 0.555964 0.234410 0.361529 0.468827 0.495115 -0.574140 0.714471 -0.626399 0.779503 0.490606 0.308675 0.544859 0.327478 0.523461 0.406970 0.515079 0.403275 -0.916181 0.368851 -0.927644 0.373465 -0.456553 0.858573 -0.469505 0.882930 0.225895 0.809519 0.211666 0.791116 0.174179 0.215492 0.174179 0.000000 0.536113 0.723297 0.595469 0.803378 -0.103962 0.855176 -0.072874 0.944981 Test number = 6 Title: = "#6: The superellipse with superelliptical hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) -0.563163 0.912635 -0.575375 0.971397 0.659018 0.123391 0.499569 0.121119 -0.169386 -0.867763 -0.170035 -0.999791 -0.484844 -0.780086 -0.513765 -0.982107 -0.912342 0.267931 -0.998676 0.269630 -0.876546 -0.100922 -0.999974 -0.101050 -0.197387 0.509347 -0.196622 0.496984 0.795008 -0.298495 0.997851 -0.304245 0.718194 0.681695 0.874616 0.802549 -0.479394 0.824967 -0.500292 0.983956 -0.772672 -0.296743 -0.997885 -0.303051 0.645775 -0.465735 0.458239 -0.368338 0.722432 -0.092412 0.499862 -0.091066 0.823954 0.195834 0.999622 0.197182 -0.622091 0.522984 -0.442106 0.394807 -0.206023 -0.629372 -0.197684 -0.496917 -0.574140 0.428942 -0.458130 0.368547 -0.764586 -0.401342 -0.992248 -0.418412 0.650006 0.649320 0.841973 0.839815 -0.876276 0.421561 -0.991258 0.431013 Test number = 7 Title: = "#7: Bicycle seat (implicit)." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 5.175919 -1.629827 0.000000 1.000000 -1.330353 -4.603288 0.000000 -5.000000 -3.807959 -4.340259 0.000000 -5.000000 -7.165517 -1.196206 0.000000 -5.000000 -1.550277 -0.471959 0.000000 1.000000 6.243979 -2.895486 0.000000 -5.000000 5.640680 0.045085 0.000000 1.000000 -6.068551 -2.890228 0.000000 -5.000000 5.071902 -3.397206 0.000000 -5.000000 3.016974 -1.630025 0.000000 1.000000 5.673964 -2.277237 0.000000 -5.000000 6.471320 -1.412499 0.000000 -5.000000 -4.885888 -0.431048 0.000000 1.000000 -1.618101 -3.888115 0.000000 -5.000000 1.168136 -2.797840 0.000000 -5.000000 1.841049 -2.830828 0.000000 1.000000 -4.509285 -0.713173 0.000000 1.000000 -6.005046 -3.204025 0.000000 -5.000000 5.105134 -0.052040 0.000000 1.000000 -6.882259 -0.735317 0.000000 -5.000000 Test number = 8 Title: = "#8: Pie slice with notch and hole." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.814356 0.051285 0.900000 0.000000 0.232511 0.020343 0.211850 -0.056765 0.951362 0.127713 0.991109 0.133049 0.843799 -0.091281 0.917540 -0.017540 0.217905 0.033202 0.195008 -0.052252 0.745252 -0.016465 0.699364 -0.011263 0.677141 0.118857 0.654441 0.083882 0.880222 -0.234533 0.879892 -0.235766 0.779356 0.192046 0.668255 0.073084 0.436786 0.047675 0.504011 0.028039 0.724566 -0.152858 0.714244 -0.191381 0.849475 0.171180 0.980295 0.197542 0.948164 0.134686 0.990061 0.140637 0.621388 -0.102224 0.620479 -0.097881 0.786457 -0.077299 0.692376 -0.038296 0.685542 0.137161 0.652918 0.084851 0.910746 -0.089091 0.949918 -0.049918 0.492756 0.014875 0.500948 0.013738 0.884112 -0.001599 0.900000 0.000000 0.634749 0.151706 0.622327 0.097476 Test number = 9 Title: = "#9: Jeff Borggaard's Box with 2 hexagonal holes." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.218418 0.956318 0.218418 1.000000 0.829509 0.561695 1.000000 0.561695 0.415307 0.066119 0.415307 0.000000 0.257578 0.109957 0.257578 0.000000 0.043829 0.633966 0.000000 0.633966 0.061727 0.449539 0.000000 0.449539 0.401306 0.754673 0.350000 0.750000 0.797287 0.001838 0.797287 0.000000 0.897504 0.350752 1.000000 0.350752 0.094545 0.013617 0.094545 0.000000 0.859097 0.840847 1.000000 0.840847 0.123104 0.007512 0.123104 0.000000 0.260303 0.912484 0.260303 0.836603 0.113664 0.351629 0.000000 0.351629 0.822887 0.267132 0.673188 0.353561 0.692066 0.561662 0.650000 0.486603 0.861216 0.453794 1.000000 0.453794 0.911977 0.597917 1.000000 0.597917 0.396988 0.185314 0.396988 0.000000 0.117707 0.299329 0.000000 0.299329 Test number = 10 Title: = "#10: The unit square." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.218418 0.956318 0.000000 0.000000 0.829509 0.561695 1.000000 0.561695 0.415307 0.066119 0.415307 0.000000 0.257578 0.109957 0.257578 0.000000 0.043829 0.633966 0.000000 0.633966 0.061727 0.449539 0.000000 0.449539 0.401306 0.754673 0.000000 0.000000 0.797287 0.001838 0.797287 0.000000 0.897504 0.350752 1.000000 0.350752 0.094545 0.013617 0.094545 0.000000 0.859097 0.840847 1.000000 0.840847 0.123104 0.007512 0.123104 0.000000 0.260303 0.912484 0.000000 0.000000 0.113664 0.351629 0.000000 0.351629 0.822887 0.267132 1.000000 0.267132 0.692066 0.561662 1.000000 0.561662 0.861216 0.453794 1.000000 0.453794 0.911977 0.597917 1.000000 0.597917 0.188955 0.761492 0.000000 0.761492 0.396988 0.185314 0.396988 0.000000 Test number = 11 Title: = "#11: The L-shaped region." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.109209 0.956318 0.109209 1.000000 0.414755 0.561695 0.500000 0.561695 0.207654 0.066119 0.207654 0.000000 0.128789 0.109957 0.128789 0.000000 0.021914 0.633966 0.000000 0.633966 0.530864 0.224769 0.530864 0.000000 0.200653 0.754673 0.000000 0.754673 0.398643 0.001838 0.398643 0.000000 0.948752 0.175376 1.000000 0.175376 0.547272 0.006808 0.547272 0.000000 0.429548 0.840847 0.500000 0.840847 0.561552 0.003756 0.561552 0.000000 0.130151 0.912484 0.130151 1.000000 0.556832 0.175814 0.556832 0.000000 0.911444 0.133566 1.000000 0.133566 0.346033 0.561662 0.500000 0.561662 0.930608 0.226897 1.000000 0.226897 0.955989 0.298958 1.000000 0.298958 0.594477 0.380746 0.594477 0.500000 0.198494 0.185314 0.198494 0.000000 Test number = 12 Title: = "#12: John Shadid's H-shaped region." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.527302 0.369540 0.527302 0.375000 0.414755 0.561695 0.500000 0.561695 0.780740 0.066119 0.780740 0.000000 0.128789 0.109957 0.128789 0.000000 0.021914 0.633966 0.000000 0.633966 0.648148 0.449539 0.625000 0.449539 0.200653 0.754673 0.000000 0.754673 0.398643 0.001838 0.398643 0.000000 0.961564 0.350752 1.000000 0.350752 0.660454 0.013617 0.660454 0.000000 0.429548 0.840847 0.500000 0.840847 0.671164 0.007512 0.671164 0.000000 0.130151 0.912484 0.130151 1.000000 0.667624 0.351629 0.625000 0.375000 0.933583 0.267132 1.000000 0.267132 0.346033 0.561662 0.500000 0.561662 0.947956 0.453794 1.000000 0.453794 0.966991 0.597917 1.000000 0.597917 0.695858 0.761492 0.625000 0.761492 0.198494 0.185314 0.198494 0.000000 Test number = 13 Title: = "#13: The Sandia Fork region." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 12.310392 0.751236 10.007943 0.797129 57.436586 36.702667 57.943272 39.203373 61.720483 36.152870 62.335643 38.050387 74.530307 30.867492 74.886413 31.315595 15.238379 11.431867 12.002035 12.496186 20.665276 21.292396 17.628551 23.496580 54.053860 83.228094 55.000000 83.228094 53.111085 37.997675 55.000000 39.686270 49.032273 85.415890 45.000000 85.415890 84.857995 8.314297 88.908529 9.280427 56.502614 39.439151 56.507231 39.467150 53.803625 77.524304 55.000000 77.524304 50.980575 30.532421 50.962980 29.984541 52.950225 34.429286 52.561296 29.890463 53.010092 40.624102 55.000000 40.624102 46.664356 87.835927 45.000000 87.835927 68.473125 27.811120 66.598917 24.989517 67.937532 26.101204 66.991332 24.724373 68.818572 33.742109 69.483410 34.934177 42.442830 36.648057 41.921596 39.175750 Test number = 14 Title: = "#14: Marcus Garvie's Lake Alpha with Beta Island." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 321.773982 188.241653 326.370147 184.246287 237.546541 216.911743 221.119821 207.902770 314.297554 638.556460 315.682189 640.567469 239.001801 741.764344 238.696128 742.068130 160.696601 374.965144 141.043408 388.607823 539.421827 319.704505 575.415864 328.264876 469.563511 512.327259 490.385857 556.714302 559.889232 441.781129 565.636695 441.319769 311.991846 266.195433 283.303920 277.169665 406.711370 385.035441 400.994186 328.423548 429.587378 381.439772 412.591160 327.252380 162.855467 340.761263 125.722907 366.537615 497.991839 346.873397 475.440669 290.687647 506.764165 411.158145 558.006680 406.865520 245.100403 706.506455 266.257370 712.110050 288.986476 223.027319 270.684780 255.554400 210.352573 284.252268 235.140260 287.951830 356.889754 336.172626 375.549742 319.158428 320.156471 247.644313 357.245951 251.293600 495.581815 443.288655 562.901131 426.550209 Test number = 15 Title: = "#15: Sangbum Kim's forward step." Spatial dimension M = 2 Number of samples N = 20 Initial SEED: = 123456789 Pairs of Point and Nearest Boundary Point: (This data can be passed to the PLOT_POINTS routine and plotted with the DASH option.) 0.184183 0.956318 -8.000000 0.956318 0.295092 -0.438305 -8.000000 -0.438305 2.153071 0.066119 -8.000000 0.066119 -5.424222 -0.890043 -8.000000 -0.890043 -7.561710 -0.366034 -8.000000 -0.366034 -1.382728 0.449539 -8.000000 0.449539 -3.986937 -0.245327 -8.000000 -0.245327 -0.027130 -0.998162 -8.000000 -0.998162 6.975041 0.350752 -8.000000 0.350752 -1.054552 0.013617 -8.000000 0.013617 0.590969 -0.159153 -8.000000 -0.159153 -0.768961 0.007512 -8.000000 0.007512 -5.396970 -0.087516 -8.000000 -0.087516 -0.863360 0.351629 -8.000000 0.351629 6.228873 0.267132 -8.000000 0.267132 -1.079335 -0.438338 -8.000000 -0.438338 6.612158 0.453794 -8.000000 0.453794 7.119770 0.597917 -8.000000 0.597917 -0.110453 0.761492 -8.000000 0.761492 -4.030115 -0.814686 -8.000000 -0.814686 TEST05 P00_POINTS_EPS makes an EPS file containing an image of a set of points, and the boundary. Test number = 1 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.050000 Title: = "#1: The unit circle." Boundary image file is "p01_points.eps". Test number = 2 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.050000 Title: = "#2: The circle with concentric circular hole." Boundary image file is "p02_points.eps". Test number = 3 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.050000 Title: = "#3: The unit square with circular hole." Boundary image file is "p03_points.eps". Test number = 4 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.043301 Title: = "#4: The unit hexagon with hexagonal hole." Boundary image file is "p04_points.eps". Test number = 5 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.025000 Title: = "#5: The horn." Boundary image file is "p05_points.eps". Test number = 6 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.050000 Title: = "#6: The superellipse with superelliptical hole." Boundary image file is "p06_points.eps". Test number = 7 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.150000 Title: = "#7: Bicycle seat (implicit)." Boundary image file is "p07_points.eps". Test number = 8 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.012941 Title: = "#8: Pie slice with notch and hole." Boundary image file is "p08_points.eps". Test number = 9 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.025000 Title: = "#9: Jeff Borggaard's Box with 2 hexagonal holes." Boundary image file is "p09_points.eps". Test number = 10 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.025000 Title: = "#10: The unit square." Boundary image file is "p10_points.eps". Test number = 11 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.025000 Title: = "#11: The L-shaped region." Boundary image file is "p11_points.eps". Test number = 12 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.025000 Title: = "#12: John Shadid's H-shaped region." Boundary image file is "p12_points.eps". Test number = 13 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 2.500000 Title: = "#13: The Sandia Fork region." Boundary image file is "p13_points.eps". Test number = 14 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 13.350000 Title: = "#14: Marcus Garvie's Lake Alpha with Beta Island." Boundary image file is "p14_points.eps". Test number = 15 Spatial dimension = 2 Relative spacing = 0.025000 Actual spacing H = 0.050000 Title: = "#15: Sangbum Kim's forward step." Boundary image file is "p15_points.eps". TEST06 P00_POLY_WRITE creates a POLY file out of the boundary data for each problem. The number of tests available = 15 TEST07 P00_HEX_GRID returns points inside a region that lie on a hexagonal grid. P00_HEX_GRID_COUNT counts the number of hex grid points inside a region. DTABLE_WRITE writes sets of points to a file. We use a hex grid spacing of H = 0.025000 P00_HEX_GRID_COUNT reports that the number of hex grid points will be 409 A few of the points: Row: 1 2 Col 1 0.487500 0.021651 2 0.475000 0.000000 3 0.487500 -0.021651 4 0.500000 0.043301 5 0.475000 0.043301 The hex grid points were written to the file "p08_hex_grid_points.txt" test_triangulation_test Normal end of execution. 31-Mar-2019 16:32:20