09 May 2025 9:46:23.055 PM test_interp_nd_test(): Fortran90 version Test test_interp_nd(). TEST01 P00_TITLE returns the problem title. There are a total of 6 problems. 1 "Oscillatory" 2 "Product Peak" 3 "Corner Peak" 4 "Gaussian" 5 "Continuous" 6 "Discontinuous" TEST02 P00_F evaluates the function. Here, we use spatial dimension M = 2 The number of points is N = 10 Problem 1 C parameters: 1: 1.1253375 2: 0.37466248 W parameters: 1: 0.46037137 2: 0.27608734E-01 F(X) X(1) X(2) ... -0.844357 0.4782 0.7375 -0.653947 0.9589 0.0745 -0.918954 0.4537 0.3839 -0.920307 0.5743 0.0124 -0.999338 0.0730 0.5423 -0.999756 0.1623 0.2360 -0.896753 0.3100 0.9570 -0.790476 0.6958 0.3342 -0.990215 0.0524 0.8808 -0.928570 0.3669 0.5774 Problem 2 C parameters: 1: 1.6901327 2: 0.30986733 W parameters: 1: 0.72548708 2: 0.60771012 F(X) X(1) X(2) ... 0.233109 0.4782 0.7375 0.231040 0.9589 0.0745 0.225401 0.4537 0.3839 0.248996 0.5743 0.0124 0.123719 0.0730 0.5423 0.142023 0.1623 0.2360 0.181571 0.3100 0.9570 0.271639 0.6958 0.3342 0.118714 0.0524 0.8808 0.200589 0.3669 0.5774 Problem 3 C parameters: 1: 0.36293801 2: 1.4870620 W parameters: 1: 0.91590503 2: 0.46932025 F(X) X(1) X(2) ... 0.854614E-01 0.4782 0.7375 0.322068 0.9589 0.0745 0.191312 0.4537 0.3839 0.541528 0.5743 0.0124 0.162374 0.0730 0.5423 0.356870 0.1623 0.2360 0.613411E-01 0.3100 0.9570 0.186747 0.6958 0.3342 0.791782E-01 0.0524 0.8808 0.126550 0.3669 0.5774 Problem 4 C parameters: 1: 2.4889978 2: 4.5410022 W parameters: 1: 0.48534220 2: 0.22269682 F(X) X(1) X(2) ... 0.423071E-02 0.4782 0.7375 0.158532 0.9589 0.0745 0.581722 0.4537 0.3839 0.382473 0.5743 0.0124 0.424256E-01 0.0730 0.5423 0.522043 0.1623 0.2360 0.122656E-04 0.3100 0.9570 0.588168 0.6958 0.3342 0.414472E-04 0.0524 0.8808 0.684774E-01 0.3669 0.5774 Problem 5 C parameters: 1: 0.47196204 2: 19.928038 W parameters: 1: 0.24602905 2: 0.35232107 F(X) X(1) X(2) ... 0.415703E-03 0.4782 0.7375 0.281744E-02 0.9589 0.0745 0.483642 0.4537 0.3839 0.978803E-03 0.5743 0.0124 0.208940E-01 0.0730 0.5423 0.945961E-01 0.1623 0.2360 0.567198E-05 0.3100 0.9570 0.563647 0.6958 0.3342 0.243646E-04 0.0524 0.8808 0.106473E-01 0.3669 0.5774 Problem 6 C parameters: 1: 0.34029513 2: 3.9597049 W parameters: 1: 0.70859092E-02 2: 0.88423430 F(X) X(1) X(2) ... 0.00000 0.4782 0.7375 0.00000 0.9589 0.0745 0.00000 0.4537 0.3839 0.00000 0.5743 0.0124 0.00000 0.0730 0.5423 0.00000 0.1623 0.2360 0.00000 0.3100 0.9570 0.00000 0.6958 0.3342 0.00000 0.0524 0.8808 0.00000 0.3669 0.5774 TEST02 P00_F evaluates the function. Here, we use spatial dimension M = 3 The number of points is N = 10 Problem 1 C parameters: 1: 0.66661325 2: 0.36616247 3: 0.46722428 W parameters: 1: 0.63121787 2: 0.77653887 3: 0.14067843 F(X) X(1) X(2) ... -0.417735E-01 0.6762 0.5644 0.1009 0.261277 0.4815 0.6546 0.9632 -0.399533 0.1274 0.3453 0.2654 0.280207 0.8380 0.8094 0.3752 -0.210624 0.2222 0.1090 0.7408 0.165504 0.8317 0.2434 0.5759 0.206989 0.4953 0.5126 0.9352 0.233271 0.8846 0.4085 0.5191 -0.227499 0.1629 0.2756 0.6577 0.441751 0.7949 0.6954 0.8975 Problem 2 C parameters: 1: 1.3902772 2: 0.71709553 3: 0.89262731 W parameters: 1: 0.25429149 2: 0.62872438 3: 0.89535657 F(X) X(1) X(2) ... 0.391230 0.6762 0.5644 0.1009 0.717227 0.4815 0.6546 0.9632 0.560368 0.1274 0.3453 0.2654 0.386319 0.8380 0.8094 0.3752 0.681016 0.2222 0.1090 0.7408 0.413783 0.8317 0.2434 0.5759 0.706216 0.4953 0.5126 0.9352 0.392775 0.8846 0.4085 0.5191 0.700873 0.1629 0.2756 0.6577 0.504915 0.7949 0.6954 0.8975 Problem 3 C parameters: 1: 0.64807827 2: 0.55702181 3: 0.64489992 W parameters: 1: 0.98741224 2: 0.55976350 3: 0.19930819 F(X) X(1) X(2) ... 0.916113E-01 0.6762 0.5644 0.1009 0.358705E-01 0.4815 0.6546 0.9632 0.228721 0.1274 0.3453 0.2654 0.400074E-01 0.8380 0.8094 0.3752 0.124813 0.2222 0.1090 0.7408 0.570713E-01 0.8317 0.2434 0.5759 0.419477E-01 0.4953 0.5126 0.9352 0.480778E-01 0.8846 0.4085 0.5191 0.124563 0.1629 0.2756 0.6577 0.263786E-01 0.7949 0.6954 0.8975 Problem 4 C parameters: 1: 2.0502573 2: 2.5268105 3: 2.4529322 W parameters: 1: 0.51536554 2: 0.92261005 3: 0.65059471 F(X) X(1) X(2) ... 0.641782E-01 0.6762 0.5644 0.1009 0.349353 0.4815 0.6546 0.9632 0.258943E-01 0.1274 0.3453 0.2654 0.376952 0.8380 0.8094 0.3752 0.969030E-02 0.2222 0.1090 0.7408 0.333738E-01 0.8317 0.2434 0.5759 0.209629 0.4953 0.5126 0.9352 0.939813E-01 0.8846 0.4085 0.5191 0.409546E-01 0.1629 0.2756 0.6577 0.358827 0.7949 0.6954 0.8975 Problem 5 C parameters: 1: 4.7882678 2: 5.3583902 3: 10.253342 W parameters: 1: 0.70297925 2: 0.22163043 3: 0.95876877 F(X) X(1) X(2) ... 0.211998E-04 0.6762 0.5644 0.1009 0.325169E-01 0.4815 0.6546 0.9632 0.267708E-04 0.1274 0.3453 0.2654 0.566031E-04 0.8380 0.8094 0.3752 0.585210E-02 0.2222 0.1090 0.7408 0.947947E-02 0.8317 0.2434 0.5759 0.611102E-01 0.4953 0.5126 0.9352 0.169725E-02 0.8846 0.4085 0.5191 0.257520E-02 0.1629 0.2756 0.6577 0.271406E-01 0.7949 0.6954 0.8975 Problem 6 C parameters: 1: 0.94337841E-01 2: 1.2744820 3: 2.9311801 W parameters: 1: 0.53265102 2: 0.41088227 3: 0.87835974E-01 F(X) X(1) X(2) ... 0.00000 0.6762 0.5644 0.1009 0.00000 0.4815 0.6546 0.9632 3.42122 0.1274 0.3453 0.2654 0.00000 0.8380 0.8094 0.3752 10.2905 0.2222 0.1090 0.7408 0.00000 0.8317 0.2434 0.5759 0.00000 0.4953 0.5126 0.9352 0.00000 0.8846 0.4085 0.5191 9.91986 0.1629 0.2756 0.6577 0.00000 0.7949 0.6954 0.8975 TEST02 P00_F evaluates the function. Here, we use spatial dimension M = 4 The number of points is N = 10 Problem 1 C parameters: 1: 0.41814054 2: 0.47490776 3: 0.20644362 4: 0.40050808 W parameters: 1: 0.44229690 2: 0.45517710 3: 0.72676699 4: 0.18378165 F(X) X(1) X(2) ... -0.985061 0.2004 0.2261 0.0197 0.8499 -0.930340 0.7758 0.0900 0.6902 0.5703 -0.975280 0.3707 0.2338 0.1068 0.7423 -0.805857 0.6284 0.8199 0.9161 0.3869 -0.959076 0.0802 0.9454 0.0182 0.4079 -0.937945 0.5566 0.6910 0.3098 0.2293 -0.726205 0.7019 0.8630 0.7399 0.6604 -0.857241 0.9257 0.5646 0.2769 0.4771 -0.992527 0.2905 0.2239 0.5809 0.3424 -0.983672 0.6095 0.3987 0.1976 0.1461 Problem 2 C parameters: 1: 1.6838677 2: 0.33643305 3: 1.6062549 4: 0.37344435 W parameters: 1: 0.22322567 2: 0.45901462 3: 0.35459553 4: 0.43489368 F(X) X(1) X(2) ... 0.867959E-01 0.2004 0.2261 0.0197 0.8499 0.471089E-01 0.7758 0.0900 0.6902 0.5703 0.921471E-01 0.3707 0.2338 0.1068 0.7423 0.428060E-01 0.6284 0.8199 0.9161 0.3869 0.822764E-01 0.0802 0.9454 0.0182 0.4079 0.863181E-01 0.5566 0.6910 0.3098 0.2293 0.493516E-01 0.7019 0.8630 0.7399 0.6604 0.473230E-01 0.9257 0.5646 0.2769 0.4771 0.999641E-01 0.2905 0.2239 0.5809 0.3424 0.753842E-01 0.6095 0.3987 0.1976 0.1461 Problem 3 C parameters: 1: 0.17945271 2: 0.65913831 3: 0.74769877 4: 0.26371022 W parameters: 1: 0.75495356 2: 0.20055971 3: 0.50514027 4: 0.83130998 F(X) X(1) X(2) ... 0.170883 0.2004 0.2261 0.0197 0.8499 0.443270E-01 0.7758 0.0900 0.6902 0.5703 0.133350 0.3707 0.2338 0.1068 0.7423 0.115580E-01 0.6284 0.8199 0.9161 0.3869 0.594316E-01 0.0802 0.9454 0.0182 0.4079 0.464653E-01 0.5566 0.6910 0.3098 0.2293 0.119950E-01 0.7019 0.8630 0.7399 0.6604 0.435971E-01 0.9257 0.5646 0.2769 0.4771 0.655959E-01 0.2905 0.2239 0.5809 0.3424 0.108776 0.6095 0.3987 0.1976 0.1461 Problem 4 C parameters: 1: 2.1406919 2: 2.2265626 3: 0.38373983 4: 2.2790057 W parameters: 1: 0.79396641 2: 0.18641688 3: 0.45762414 4: 0.50571387 F(X) X(1) X(2) ... 0.103721 0.2004 0.2261 0.0197 0.8499 0.925661 0.7758 0.0900 0.6902 0.5703 0.319490 0.3707 0.2338 0.1068 0.7423 0.108686 0.6284 0.8199 0.9161 0.3869 0.515377E-02 0.0802 0.9454 0.0182 0.4079 0.146535 0.5566 0.6910 0.3098 0.2293 0.867734E-01 0.7019 0.8630 0.7399 0.6604 0.450329 0.9257 0.5646 0.2769 0.4771 0.270056 0.2905 0.2239 0.5809 0.3424 0.346062 0.6095 0.3987 0.1976 0.1461 Problem 5 C parameters: 1: 8.7210617 2: 6.8009869 3: 2.1134373 4: 2.7645142 W parameters: 1: 0.81561475 2: 0.54868017 3: 0.37043490 4: 0.79171886 F(X) X(1) X(2) ... 0.211426E-03 0.2004 0.2261 0.0197 0.8499 0.861266E-02 0.7758 0.0900 0.6902 0.5703 0.121183E-02 0.3707 0.2338 0.1068 0.7423 0.318509E-02 0.6284 0.8199 0.9161 0.3869 0.181562E-04 0.0802 0.9454 0.0182 0.4079 0.737302E-02 0.5566 0.6910 0.3098 0.2293 0.139312E-01 0.7019 0.8630 0.7399 0.6604 0.118134 0.9257 0.5646 0.2769 0.4771 0.208656E-03 0.2905 0.2239 0.5809 0.3424 0.696088E-02 0.6095 0.3987 0.1976 0.1461 Problem 6 C parameters: 1: 1.2532478 2: 1.5247571 3: 0.31781062 4: 1.2041846 W parameters: 1: 0.58674753E-01 2: 0.67909678 3: 0.75244464E-01 4: 0.75192076 F(X) X(1) X(2) ... 0.00000 0.2004 0.2261 0.0197 0.8499 0.00000 0.7758 0.0900 0.6902 0.5703 0.00000 0.3707 0.2338 0.1068 0.7423 0.00000 0.6284 0.8199 0.9161 0.3869 0.00000 0.0802 0.9454 0.0182 0.4079 0.00000 0.5566 0.6910 0.3098 0.2293 0.00000 0.7019 0.8630 0.7399 0.6604 0.00000 0.9257 0.5646 0.2769 0.4771 0.00000 0.2905 0.2239 0.5809 0.3424 0.00000 0.6095 0.3987 0.1976 0.1461 TEST03 P00_D evaluates derivative components. Here, we use spatial dimension M = 2 The number of points is N = 2 Problem 1 C parameters: 1: 1.2342159 2: 0.26578410 W parameters: 1: 0.54322350 2: 0.12908531 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.6046 0.4602 -0.417532 1.1215 0.2415 0.2244 0.5061 -0.775628 0.7790 0.1678 Problem 2 C parameters: 1: 1.7314145 2: 0.26858550 W parameters: 1: 0.87571050E-01 2: 0.35135671 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.6046 0.4602 0.119955 -0.2064 -0.0019 0.2244 0.5061 0.204406 -0.1588 -0.0046 Problem 3 C parameters: 1: 1.0943126 2: 0.75568739 W parameters: 1: 0.33342306 2: 0.33526707 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.6046 0.4602 0.123258 -0.2014 -0.1391 0.2244 0.5061 0.231735 -0.4673 -0.3227 Problem 4 C parameters: 1: 3.8223731 2: 3.2076269 W parameters: 1: 0.36374729E-01 2: 0.38133653 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.6046 0.4602 0.838829E-02 -0.1393 -0.0136 0.2244 0.5061 0.508209 -2.7926 -1.3049 Problem 5 C parameters: 1: 11.221501 2: 9.1784993 W parameters: 1: 0.85505612 2: 0.60254664 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.6046 0.4602 0.162923E-01 0.1828 0.1495 0.2244 0.5061 0.348549E-03 0.0039 0.0032 Problem 6 C parameters: 1: 3.4901151 2: 0.80988494 W parameters: 1: 0.21687922 2: 0.27672292E-01 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.6046 0.4602 0.00000 0.0000 0.0000 0.2244 0.5061 0.00000 0.0000 0.0000 TEST03 P00_D evaluates derivative components. Here, we use spatial dimension M = 3 The number of points is N = 2 Problem 1 C parameters: 1: 0.18519582E-01 2: 0.55726729 3: 0.92421313 W parameters: 1: 0.69291393 2: 0.18856216 3: 0.75688801 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.2619 0.5726 0.9582 0.751844 0.0122 0.3674 0.6094 0.5544 0.5836 0.7261 0.603481 0.0148 0.4444 0.7369 Problem 2 C parameters: 1: 0.90698758 2: 1.2293348 3: 0.86367757 W parameters: 1: 0.11544942 2: 0.86554459 3: 0.44480195E-01 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.2619 0.5726 0.9582 0.497065 -0.1177 0.3896 -0.4175 0.5544 0.5836 0.7261 0.530682 -0.3308 0.4038 -0.4008 Problem 3 C parameters: 1: 0.87909210 2: 0.91914651 3: 0.51761395E-01 W parameters: 1: 0.88646022 2: 0.41026811 3: 0.75355025 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.2619 0.5726 0.9582 0.939683E-01 -0.1829 -0.1913 -0.0108 0.5544 0.5836 0.7261 0.553824E-01 -0.0945 -0.0988 -0.0056 Problem 4 C parameters: 1: 4.3604761 2: 2.0089822 3: 0.66054176 W parameters: 1: 0.54381588 2: 0.33518754 3: 0.66464871 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.2619 0.5726 0.9582 0.169350 1.8153 -0.3245 -0.0434 0.5544 0.5836 0.7261 0.776624 -0.3137 -1.5571 -0.0416 Problem 5 C parameters: 1: 3.7517310 2: 7.6493035 3: 8.9989655 W parameters: 1: 0.12993525 2: 0.63753384 3: 0.60951035 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.2619 0.5726 0.9582 0.160801E-01 -0.0603 0.1230 -0.1447 0.5544 0.5836 0.7261 0.471460E-01 -0.1769 0.3606 -0.4243 Problem 6 C parameters: 1: 3.1359045 2: 1.1318926 3: 0.32202925E-01 W parameters: 1: 0.83782638 2: 0.52310154 3: 0.53075694 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.2619 0.5726 0.9582 0.00000 0.0000 0.0000 0.0000 0.5544 0.5836 0.7261 0.00000 0.0000 0.0000 0.0000 TEST03 P00_D evaluates derivative components. Here, we use spatial dimension M = 4 The number of points is N = 2 Problem 1 C parameters: 1: 0.38153410 2: 0.38235357 3: 0.39379415 4: 0.34231818 W parameters: 1: 0.22092738 2: 0.20775747 3: 0.89125556 4: 0.29123030 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.7996 0.3074 0.2285 0.7887 -0.564585 -0.3149 -0.3156 -0.3250 -0.2825 0.5207 0.9004 0.6145 0.2145 -0.625434 -0.2977 -0.2983 -0.3073 -0.2671 Problem 2 C parameters: 1: 0.90022892 2: 1.1307195 3: 1.1021536 4: 0.86689798 W parameters: 1: 0.85032925 2: 0.53984294 3: 0.25496392 4: 0.11567624 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.7996 0.3074 0.2285 0.7887 0.658119 0.0540 0.3659 0.0423 -0.4967 0.5207 0.9004 0.6145 0.2145 0.639550 0.3141 -0.5056 -0.4829 -0.0943 Problem 3 C parameters: 1: 0.73861942 2: 0.30677089 3: 0.85234691E-01 4: 0.71937500 W parameters: 1: 0.14818862 2: 0.20610644E-02 3: 0.75697393 4: 0.27871438 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.7996 0.3074 0.2285 0.7887 0.165259E-01 -0.0269 -0.0112 -0.0031 -0.0262 0.5207 0.9004 0.6145 0.2145 0.440270E-01 -0.0871 -0.0362 -0.0100 -0.0848 Problem 4 C parameters: 1: 2.9140823 2: 1.5499711 3: 0.42464165 4: 2.1413050 W parameters: 1: 0.21740440 2: 0.49814509 3: 0.97022999 4: 0.33922477 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.7996 0.3074 0.2285 0.7887 0.184691E-01 -0.1826 0.0169 0.0049 -0.0761 0.5207 0.9004 0.6145 0.2145 0.282531 -1.4553 -0.5461 0.0362 0.3232 Problem 5 C parameters: 1: 4.2110005 2: 6.6150879 3: 4.8643767 4: 4.7095350 W parameters: 1: 0.30011116 2: 0.11894123 3: 0.10238043 4: 0.35611321E-01 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.7996 0.3074 0.2285 0.7887 0.547341E-03 -0.0023 -0.0036 -0.0027 -0.0026 0.5207 0.9004 0.6145 0.2145 0.801182E-04 -0.0003 -0.0005 -0.0004 -0.0004 Problem 6 C parameters: 1: 1.7800705 2: 0.87796963 3: 1.2717191 4: 0.37024070 W parameters: 1: 0.14614014 2: 0.24612640 3: 0.74793660E-01 4: 0.72717176 X(1) X(2) ... F(X) dFdX(1) dFdX(2) ... 0.7996 0.3074 0.2285 0.7887 0.00000 0.0000 0.0000 0.0000 0.0000 0.5207 0.9004 0.6145 0.2145 0.00000 0.0000 0.0000 0.0000 0.0000 TEST04 P00_Q returns the integral of F over [0,1]^m. Here, we use spatial dimension M = 4 The number of sample points is N = 10000 Problem 1 C parameters: 1: 0.12522453E-01 2: 0.63909623 3: 0.18874934 4: 0.65963197 W parameters: 1: 0.88115956 2: 0.62348243 3: 0.29656991 4: 0.83648131E-02 Exact Integral Q 0.963898 0.964609 Problem 2 C parameters: 1: 0.97484074 2: 1.0999648 3: 0.88169829 4: 1.0434962 W parameters: 1: 0.73943331 2: 0.47558929E-01 3: 0.92389964 4: 0.44602787 Exact Integral Q 0.534339 0.532253 Problem 3 C parameters: 1: 0.72285472 2: 0.10970324 3: 0.47056404 4: 0.54687799 W parameters: 1: 0.91799304 2: 0.95223085 3: 0.27476958 4: 0.77290710 Exact Integral Q 0.564344E-01 0.577182E-01 Problem 4 C parameters: 1: 1.5918009 2: 3.2771949 3: 0.53747261 4: 1.6235316 W parameters: 1: 0.76317069 2: 0.26165129 3: 0.96756528 4: 0.58933563 Exact Integral Q 0.261630 0.259946 Problem 5 C parameters: 1: 7.5277494 2: 3.2536245 3: 1.8173234 4: 7.8013027 W parameters: 1: 0.22615570 2: 0.36674086E-02 3: 0.80132331 4: 0.36246816 Exact Integral Q 0.105200E-01 0.106445E-01 Problem 6 C parameters: 1: 2.1991727 2: 0.33145008 3: 0.80324476 4: 0.96613246 W parameters: 1: 0.31528542 2: 0.95540592 3: 0.60123164 4: 0.37490492 Exact Integral Q 1.32217 1.32198 TEST_INTERP_ND_TEST Normal end of execution. 09 May 2025 9:46:23.058 PM