commit ef341d4a0aa3b84278a98e8c370223d7bd3d167a parent cd991d1c6f10be675167def1c625ffd460399030 Author: Ivan Gankevich <igankevich@ya.ru> Date: Sun, 4 Jun 2017 13:42:44 +0300 Merge branch 'master' of bitbucket.org:igankevich/phd-diss Diffstat:
| R/velocity-potentials.R | | | 29 | +++++++++++++++++++++++++++++ |
| arma-thesis-ru.org | | | 42 | ++++++++++++++++++++++++++++++++---------- |
| arma-thesis.org | | | 70 | +++++++++++++++++++++++++++++++++++++++++++++------------------------- |
| data/verification/propagating-acf-00 | | | 10 | ---------- |
| data/verification/propagating-acf-01 | | | 10 | ---------- |
| data/verification/propagating-acf-02 | | | 10 | ---------- |
| data/verification/propagating-acf-03 | | | 10 | ---------- |
| data/verification/propagating-acf-04 | | | 10 | ---------- |
| data/verification/propagating-acf-05 | | | 10 | ---------- |
| data/verification/propagating-acf-06 | | | 10 | ---------- |
| data/verification/propagating-acf-07 | | | 10 | ---------- |
| data/verification/propagating-acf-08 | | | 10 | ---------- |
| data/verification/propagating-acf-09 | | | 10 | ---------- |
| data/verification/propagating-acf-10 | | | 10 | ---------- |
| data/verification/propagating-acf-11 | | | 10 | ---------- |
| data/verification/propagating-acf-12 | | | 10 | ---------- |
| data/verification/propagating-acf-13 | | | 10 | ---------- |
| data/verification/propagating-acf-14 | | | 10 | ---------- |
| data/verification/propagating-acf-15 | | | 10 | ---------- |
| data/verification/propagating-acf-16 | | | 10 | ---------- |
| data/verification/propagating-acf-17 | | | 10 | ---------- |
| data/verification/propagating-acf-18 | | | 10 | ---------- |
| data/verification/propagating-acf-19 | | | 10 | ---------- |
| data/verification/propagating-elevation | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/propagating-wave-height-x | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/propagating-wave-height-y | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/propagating-wave-length-x | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/propagating-wave-length-y | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/propagating-wave-period | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/propagating-white-noise | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-acf-0 | | | 10 | ---------- |
| data/verification/standing-acf-1 | | | 10 | ---------- |
| data/verification/standing-acf-2 | | | 10 | ---------- |
| data/verification/standing-acf-3 | | | 10 | ---------- |
| data/verification/standing-acf-4 | | | 10 | ---------- |
| data/verification/standing-acf-5 | | | 10 | ---------- |
| data/verification/standing-acf-6 | | | 10 | ---------- |
| data/verification/standing-acf-7 | | | 10 | ---------- |
| data/verification/standing-acf-8 | | | 10 | ---------- |
| data/verification/standing-acf-9 | | | 10 | ---------- |
| data/verification/standing-elevation | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-wave-height-x | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-wave-height-y | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-wave-length-x | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-wave-length-y | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-wave-period | | | 100 | ------------------------------------------------------------------------------- |
| data/verification/standing-white-noise | | | 100 | ------------------------------------------------------------------------------- |
47 files changed, 106 insertions(+), 1735 deletions(-)
diff --git a/R/velocity-potentials.R b/R/velocity-potentials.R @@ -74,3 +74,32 @@ arma.plot_velocity_potential_field_legend <- function (...) { axis(4) box() } + +arma.plot_velocity <- function(file1, file2, ...) { + args <- list(...) + data1 <- read.table(file1) + data2 <- read.table(file2) + ylim <- range(c(data1, data2)) + if ("ylim" %in% names(args)) { + ylim <- args$ylim + } + plot.new() + plot.window( + xlim = c(0, nrow(data1)-1), + ylim = ylim + ) + lines(data1, lty=args$linetypes[[1]]) + lines(data2, lty=args$linetypes[[2]]) + axis(1) + axis(2) + box() + title(xlab="x",ylab="u(x)") + legend( + "topleft", + c( + as.expression(bquote(u[1](x))), + as.expression(bquote(u[2](x))) + ), + lty = paste(args$linetypes) + ) +} diff --git a/arma-thesis-ru.org b/arma-thesis-ru.org @@ -594,8 +594,8 @@ Motion Programme (LAMP), программе для моделирования к z+\alpha\dot{\alpha}}{\sqrt{1+\alpha^{2}}}e^{I(x)}dx,\label{eq-old-sol-2d}\\ I(x)= & \int\limits_{0}^x\frac{\partial\alpha/\partial z}{1+\alpha^{2}}dx,\nonumber \end{align} -где \(\alpha\)\nbsp{}--- уклоны волн. В трехмерном случае решение записывается в виде -эллиптического дифференциального уравнения в частных производных +где \(\alpha\)\nbsp{}--- уклоны волн. В трехмерном случае решение записывается в +виде эллиптического дифференциального уравнения в частных производных \begin{align*} & \frac{\partial^2 \phi}{\partial x^2} \left( 1 + \alpha_x^2 \right) + \frac{\partial^2 \phi}{\partial y^2} \left( 1 + \alpha_y^2 \right) + @@ -1894,11 +1894,32 @@ eqref:eq-solution-2d-full показывает удовлетворительн ограничения на амплитуду волн. #+name: fig-velocity-field-2d +#+name: fig-velocity-field-2d +#+header: :width 8 :height 11 +#+begin_src R :file build/large-and-small-amplitude-velocity-field-comparison-ru.pdf +source(file.path("R", "velocity-potentials.R")) +linetypes = c("solid", "dashed") +par(mfrow=c(2, 1)) +arma.plot_velocity( + file.path("data", "velocity", "low-amp"), + file.path("data", "velocity", "low-amp-0"), + linetypes=linetypes, + ylim=c(-2,2) +) +arma.plot_velocity( + file.path("data", "velocity", "high-amp"), + file.path("data", "velocity", "high-amp-0"), + linetypes=linetypes, + ylim=c(-2,2) +) +#+end_src + +#+label: fig-velocity-field-2d #+caption: Сравнение полей скоростей на поверхности моря, полученных по общей формуле (\(u_1\)) и формуле для волн малой амплитуды (\(u_2\)). Поле скоростей для поверхности волн малой амплитуды (сверху) и большой амплитуды (снизу). -#+begin_figure -[[file:build/low-amp-nocolor.eps]] -[[file:build/high-amp-nocolor.eps]] -#+end_figure +#+attr_latex: :width \textwidth +#+RESULTS: fig-velocity-field-2d +[[file:build/large-and-small-amplitude-velocity-field-comparison-ru.pdf]] + *** Нефизическая природа модели Благодаря своей нефизической природе модель АРСС не включает в себя понятие @@ -2440,15 +2461,16 @@ GotoBLAS и основанная на ней LAPACK, для непрерывно #+name: tab-arma-libs #+caption: Список библиотек, используемых в реализации модели АРСС. -#+attr_latex: :booktabs t :align lp{0.6\linewidth} -| Library | What it is used for | -|--------------------------------------------------------+----------------------------------| +#+attr_latex: :booktabs t +| Библиотека | Назначение | +|--------------------------------------------------------------+----------------------------------| | DCMT\nbsp{}cite:matsumoto1998dynamic | параллельный ГПСЧ | | Blitz\nbsp{}cite:veldhuizen1997will,veldhuizen2000techniques | многомерные массивы | | GSL\nbsp{}cite:gsl2008scientific | вычисление ФПР, ФР, БПФ | -| | проверка стационарности процесса | +| | проверка стационарности процесса | | LAPACK, GotoBLAS\nbsp{}cite:goto2008high,goto2008anatomy | определение коэффициентов АР | | GL, GLUT\nbsp{}cite:kilgard1996opengl | трехмерная визуализация | +| CGAL\nbsp{}cite:fabri2009cgal | триангуляция волновых чисел | **** Производительность алгоритма распределения нагрузки. Программная реализация генерации взволнованной поверхности сбалансирована с diff --git a/arma-thesis.org b/arma-thesis.org @@ -825,18 +825,18 @@ process to ocean wave modelling. ** Pressure field determination formulae **** Small amplitude waves theory. -In\nbsp{}cite:stab2012,детярев1998моделирование,degtyarev1997analysis the authors -propose a solution for inverse problem of hydrodynamics of potential flow in the -framework of small-amplitude wave theory (under assumption that wave length is -much larger than height: \(\lambda \gg h\)). In that case inverse problem is -linear and reduces to Laplace equation with mixed boundary conditions, and -equation of motion is solely used to determine pressures for calculated velocity -potential derivatives. The assumption of small amplitudes means the slow decay -of wind wave coherence function, i.e. small change of local wave number in time -and space compared to the wavy surface elevation (\(z\) coordinate). This -assumption allows to calculate elevation \(z\) derivative as \(\zeta_z=k\zeta\), -where \(k\) is wave number. In two-dimensional case the solution is written -explicitly as +In\nbsp{}cite:stab2012,детярев1998моделирование,degtyarev1997analysis the +authors propose a solution for inverse problem of hydrodynamics of potential +flow in the framework of small-amplitude wave theory (under assumption that wave +length is much larger than height: \(\lambda \gg h\)). In that case inverse +problem is linear and reduces to Laplace equation with mixed boundary +conditions, and equation of motion is solely used to determine pressures for +calculated velocity potential derivatives. The assumption of small amplitudes +means the slow decay of wind wave coherence function, i.e. small change of local +wave number in time and space compared to the wavy surface elevation (\(z\) +coordinate). This assumption allows to calculate elevation \(z\) derivative as +\(\zeta_z=k\zeta\), where \(k\) is wave number. In two-dimensional case the +solution is written explicitly as \begin{align} \left.\frac{\partial\phi}{\partial x}\right|_{x,t}= & -\frac{1}{\sqrt{1+\alpha^{2}}}e^{-I(x)} @@ -844,7 +844,6 @@ explicitly as z+\alpha\dot{\alpha}}{\sqrt{1+\alpha^{2}}}e^{I(x)}dx,\label{eq-old-sol-2d}\\ I(x)= & \int\limits_{0}^x\frac{\partial\alpha/\partial z}{1+\alpha^{2}}dx,\nonumber \end{align} - where \(\alpha\) is wave slope. In three-dimensional case solution is written in the form of elliptic partial differential equation (PDE): \begin{align*} @@ -2107,11 +2106,31 @@ formula eqref:eq-solution-2d-full gives satisfactory results without restriction on wave amplitudes. #+name: fig-velocity-field-2d +#+header: :width 8 :height 11 +#+begin_src R :file build/large-and-small-amplitude-velocity-field-comparison.pdf +source(file.path("R", "velocity-potentials.R")) +linetypes = c("solid", "dashed") +par(mfrow=c(2, 1)) +arma.plot_velocity( + file.path("data", "velocity", "low-amp"), + file.path("data", "velocity", "low-amp-0"), + linetypes=linetypes, + ylim=c(-2,2) +) +arma.plot_velocity( + file.path("data", "velocity", "high-amp"), + file.path("data", "velocity", "high-amp-0"), + linetypes=linetypes, + ylim=c(-2,2) +) +#+end_src + +#+label: fig-velocity-field-2d #+caption: Comparison of velocity field on the ocean wavy surface obtained by generic formula (\(u_1\)) and formula for small-amplitude waves (\(u_2\)). Velocity field for realisations containing small-amplitude (top) and large-amplitude (bottom) waves. -#+begin_figure -[[file:build/low-amp-nocolor.eps]] -[[file:build/high-amp-nocolor.eps]] -#+end_figure +#+attr_latex: :width \textwidth +#+RESULTS: fig-velocity-field-2d +[[file:build/large-and-small-amplitude-velocity-field-comparison.pdf]] + *** Non-physical nature of ARMA model ARMA model, owing to its non-physical nature, does not have the notion of ocean wave; it simulates wavy surface as a whole instead. Motions of individual waves @@ -2568,21 +2587,22 @@ convergence rate and non-existence of periodicity allows to use far fewer coefficients compared to LH model. ARMA implementation uses several libraries of reusable mathematical functions -and numerical algorithms (listed in table\nbsp{}[[tab-arma-libs]]), and was implemented using -several parallel programming technologies (MPI, OpenMP, OpenCL) to find the most -efficient one. +and numerical algorithms (listed in table\nbsp{}[[tab-arma-libs]]), and was +implemented using several parallel programming technologies (MPI, OpenMP, +OpenCL) to find the most efficient one. #+name: tab-arma-libs #+caption: A list of mathematical libraries used in ARMA model implementation. -#+attr_latex: :booktabs t :align lp{0.6\linewidth} -| Library | What it is used for | -|--------------------------------------------------------+---------------------------------| +#+attr_latex: :booktabs t +| Library | What it is used for | +|--------------------------------------------------------------+---------------------------------| | DCMT\nbsp{}cite:matsumoto1998dynamic | parallel PRNG | | Blitz\nbsp{}cite:veldhuizen1997will,veldhuizen2000techniques | multidimensional arrays | | GSL\nbsp{}cite:gsl2008scientific | PDF, CDF, FFT computation | -| | checking process stationarity | +| | checking process stationarity | | LAPACK, GotoBLAS\nbsp{}cite:goto2008high,goto2008anatomy | finding AR coefficients | | GL, GLUT\nbsp{}cite:kilgard1996opengl | three-dimensional visualisation | +| CGAL\nbsp{}cite:fabri2009cgal | wave numbers triangulation | **** Performance of load balancing algorithm. Software implementation of wavy surface generation is balanced in terms of the @@ -3239,7 +3259,7 @@ margin, and in case of backup node failure within 50% margin for the number of node less than 6[fn::Measuring this margin for higher number of nodes does not make sense since time before failure is greater than total execution time with these numbers of nodes, and programme's execution finishes before a failure -occurs.]]. Increase in execution time of 50% is more than \(1/3\) of execution +occurs.]. Increase in execution time of 50% is more than \(1/3\) of execution time after which a failure occurs, but backup node failure needs some time to be discovered: it is detected only when subordinate kernel carrying the copy of the main kernel finishes its execution and tries to reach its parent. Instant diff --git a/data/verification/propagating-acf-00 b/data/verification/propagating-acf-00 @@ -1,10 +0,0 @@ -5 3.95945 3.13545 2.48293 1.9662 1.55702 1.23298 0.976388 0.773191 0.612282 -2.1393 1.69409 1.34153 1.06234 0.841259 0.666185 0.527545 0.417757 0.330817 0.261971 --1.30481 -1.03326 -0.818229 -0.647947 -0.513103 -0.406321 -0.321761 -0.254799 -0.201773 -0.159782 --2.45808 -1.94653 -1.54143 -1.22065 -0.966617 -0.765454 -0.606155 -0.480008 -0.380113 -0.301008 --1.2852 -1.01773 -0.805933 -0.63821 -0.505392 -0.400214 -0.316926 -0.25097 -0.198741 -0.157381 -0.441667 0.349751 0.276964 0.219325 0.173681 0.137536 0.108914 0.0862476 0.0682986 0.0540849 -1.18388 0.937499 0.742395 0.587895 0.465548 0.368663 0.29194 0.231184 0.183072 0.144973 -0.736101 0.582911 0.461601 0.365537 0.289465 0.229224 0.18152 0.143744 0.113829 0.0901403 --0.112499 -0.0890871 -0.0705471 -0.0558655 -0.0442393 -0.0350327 -0.027742 -0.0219686 -0.0173967 -0.0137763 --0.557869 -0.44177 -0.349833 -0.277029 -0.219377 -0.173722 -0.137569 -0.108939 -0.0862679 -0.0683146 diff --git a/data/verification/propagating-acf-01 b/data/verification/propagating-acf-01 @@ -1,10 +0,0 @@ -2.34017 1.85316 1.4675 1.1621 0.920252 0.728738 0.57708 0.456984 0.361881 0.286569 -3.16979 2.51013 1.98774 1.57407 1.24649 0.987084 0.781661 0.61899 0.490171 0.388162 -1.24496 0.985867 0.780698 0.618227 0.489567 0.387683 0.307002 0.243112 0.192518 0.152453 --0.92241 -0.730447 -0.578433 -0.458055 -0.362729 -0.287241 -0.227463 -0.180126 -0.14264 -0.112955 --1.57002 -1.24328 -0.984544 -0.77965 -0.617397 -0.48891 -0.387163 -0.30659 -0.242786 -0.192259 --0.765066 -0.605848 -0.479764 -0.37992 -0.300855 -0.238244 -0.188663 -0.1494 -0.118308 -0.0936872 -0.329862 0.261214 0.206853 0.163805 0.129715 0.10272 0.081343 0.0644147 0.0510093 0.0403937 -0.762034 0.603447 0.477863 0.378415 0.299663 0.2373 0.187915 0.148808 0.11784 0.0933159 -0.445234 0.352576 0.279202 0.221097 0.175084 0.138647 0.109793 0.0869443 0.0688502 0.0545218 --0.0968674 -0.0767083 -0.0607445 -0.0481029 -0.0380922 -0.0301648 -0.0238872 -0.018916 -0.0149794 -0.011862 diff --git a/data/verification/propagating-acf-02 b/data/verification/propagating-acf-02 @@ -1,10 +0,0 @@ --1.02284 -0.809979 -0.641414 -0.507929 -0.402224 -0.318517 -0.25223 -0.199738 -0.158171 -0.125254 -1.59226 1.26089 0.998488 0.790692 0.626141 0.495834 0.392646 0.310932 0.246224 0.194982 -2.00394 1.5869 1.25665 0.995127 0.788031 0.624033 0.494166 0.391325 0.309886 0.245395 -0.716323 0.567249 0.449198 0.355715 0.281687 0.223065 0.176643 0.139882 0.110771 0.0877184 --0.643678 -0.509722 -0.403643 -0.319641 -0.25312 -0.200443 -0.158729 -0.125696 -0.0995372 -0.0788225 --1.00001 -0.791894 -0.627093 -0.496588 -0.393243 -0.311405 -0.246598 -0.195279 -0.154639 -0.122457 --0.452081 -0.357998 -0.283495 -0.224497 -0.177777 -0.14078 -0.111482 -0.0882813 -0.069909 -0.0553603 -0.240238 0.190242 0.150651 0.119299 0.0944714 0.0748109 0.059242 0.0469131 0.03715 0.0294187 -0.489072 0.387291 0.306691 0.242866 0.192323 0.152299 0.120604 0.0955047 0.0756292 0.05989 -0.267857 0.212114 0.167971 0.133014 0.105332 0.0834117 0.0660528 0.0523066 0.041421 0.0328009 diff --git a/data/verification/propagating-acf-03 b/data/verification/propagating-acf-03 @@ -1,10 +0,0 @@ --2.46144 -1.94919 -1.54354 -1.22232 -0.967939 -0.7665 -0.606984 -0.480664 -0.380633 -0.301419 --0.546703 -0.432929 -0.342832 -0.271485 -0.214986 -0.170245 -0.134815 -0.106759 -0.0845412 -0.0669473 -1.07572 0.85185 0.674571 0.534186 0.423016 0.334982 0.265269 0.210064 0.166347 0.131729 -1.26334 1.00043 0.792229 0.627358 0.496799 0.39341 0.311537 0.246703 0.195361 0.154705 -0.406498 0.321901 0.25491 0.201861 0.159851 0.126585 0.100241 0.0793799 0.0628601 0.0497782 --0.444382 -0.351901 -0.278667 -0.220673 -0.174749 -0.138382 -0.109583 -0.0867778 -0.0687184 -0.0544174 --0.635176 -0.502989 -0.398312 -0.315419 -0.249777 -0.197796 -0.156632 -0.124036 -0.0982225 -0.0777814 --0.264866 -0.209744 -0.166094 -0.131528 -0.104156 -0.08248 -0.0653151 -0.0517223 -0.0409584 -0.0324345 -0.171661 0.135937 0.107647 0.0852445 0.0675042 0.0534559 0.0423312 0.0335216 0.0265454 0.021021 -0.312988 0.247852 0.196272 0.155425 0.12308 0.0974656 0.077182 0.0611196 0.0484 0.0383274 diff --git a/data/verification/propagating-acf-04 b/data/verification/propagating-acf-04 @@ -1,10 +0,0 @@ --1.64672 -1.30402 -1.03264 -0.817736 -0.647556 -0.512793 -0.406076 -0.321567 -0.254645 -0.201651 --1.53507 -1.2156 -0.962625 -0.762293 -0.603651 -0.478025 -0.378543 -0.299764 -0.23738 -0.187979 --0.28095 -0.222481 -0.176181 -0.139515 -0.110481 -0.0874887 -0.0692813 -0.0548632 -0.0434456 -0.0344041 -0.722211 0.571911 0.45289 0.358639 0.284003 0.224899 0.178095 0.141032 0.111681 0.0884394 -0.79419 0.628911 0.498028 0.394383 0.312308 0.247313 0.195845 0.155088 0.122812 0.0972537 -0.226714 0.179532 0.14217 0.112583 0.089153 0.0705994 0.0559069 0.0442721 0.0350586 0.0277625 --0.304025 -0.240754 -0.190651 -0.150974 -0.119555 -0.0946743 -0.0749715 -0.0593692 -0.0470138 -0.0372298 --0.40233 -0.318601 -0.252296 -0.199791 -0.158212 -0.125287 -0.0992132 -0.0785659 -0.0622155 -0.0492678 --0.153631 -0.121658 -0.0963401 -0.0762907 -0.0604138 -0.0478411 -0.0378848 -0.0300006 -0.0237572 -0.0188131 -0.120832 0.0956854 0.0757723 0.0600033 0.047516 0.0376274 0.0297967 0.0235957 0.0186852 0.0147966 diff --git a/data/verification/propagating-acf-05 b/data/verification/propagating-acf-05 @@ -1,10 +0,0 @@ -0.0404811 0.0320566 0.0253853 0.0201023 0.0159188 0.0126059 0.00998252 0.00790505 0.00625993 0.00495717 --1.08557 -0.859655 -0.680752 -0.539081 -0.426892 -0.338052 -0.267699 -0.211988 -0.167871 -0.132936 --0.954333 -0.755726 -0.598452 -0.473908 -0.375283 -0.297182 -0.235336 -0.18636 -0.147576 -0.116864 --0.135889 -0.107609 -0.0852146 -0.0674805 -0.0534371 -0.0423163 -0.0335098 -0.0265361 -0.0210137 -0.0166405 -0.482169 0.381824 0.302363 0.239438 0.189608 0.150149 0.118901 0.0941567 0.0745617 0.0590447 -0.497816 0.394215 0.312175 0.247208 0.195761 0.155021 0.12276 0.0972122 0.0769814 0.0609608 -0.123628 0.0978997 0.0775257 0.0613918 0.0486155 0.0384981 0.0304863 0.0241418 0.0191176 0.015139 --0.206384 -0.163433 -0.129421 -0.102487 -0.0811586 -0.0642687 -0.0508937 -0.0403022 -0.0319149 -0.0252731 --0.254133 -0.201245 -0.159364 -0.126199 -0.0999352 -0.0791377 -0.0626683 -0.0496264 -0.0392986 -0.0311202 --0.088045 -0.0697219 -0.0552121 -0.0437219 -0.0346229 -0.0274175 -0.0217116 -0.0171932 -0.0136151 -0.0107817 diff --git a/data/verification/propagating-acf-06 b/data/verification/propagating-acf-06 @@ -1,10 +0,0 @@ -1.09621 0.868076 0.68742 0.544361 0.431074 0.341363 0.270322 0.214065 0.169516 0.134238 --0.0296133 -0.0234504 -0.0185702 -0.0147055 -0.0116451 -0.00922166 -0.00730254 -0.0057828 -0.00457934 -0.00362633 --0.712761 -0.564428 -0.446965 -0.353947 -0.280287 -0.221956 -0.175765 -0.139186 -0.11022 -0.0872822 --0.591353 -0.468287 -0.370831 -0.293657 -0.232544 -0.184149 -0.145826 -0.115478 -0.0914458 -0.072415 --0.059068 -0.0467753 -0.0370409 -0.0293323 -0.0232279 -0.018394 -0.014566 -0.0115346 -0.00913416 -0.00723325 -0.320286 0.253631 0.200848 0.159049 0.125949 0.099738 0.0789814 0.0625446 0.0495284 0.039221 -0.311116 0.246369 0.195097 0.154495 0.122343 0.0968824 0.0767201 0.0607539 0.0481104 0.0380981 -0.06538 0.0517737 0.0409991 0.0324668 0.0257101 0.0203595 0.0161225 0.0127673 0.0101103 0.0080062 --0.13915 -0.110192 -0.0872596 -0.0690999 -0.0547195 -0.0433318 -0.034314 -0.0271729 -0.0215179 -0.0170398 --0.160073 -0.12676 -0.10038 -0.0794897 -0.0629471 -0.0498471 -0.0394734 -0.0312586 -0.0247534 -0.0196019 diff --git a/data/verification/propagating-acf-07 b/data/verification/propagating-acf-07 @@ -1,10 +0,0 @@ -1.00011 0.791978 0.627159 0.496641 0.393284 0.311438 0.246624 0.195299 0.154656 0.12247 -0.66996 0.530534 0.420124 0.332692 0.263455 0.208628 0.16521 0.130828 0.103601 0.0820409 --0.0538615 -0.0426523 -0.0337759 -0.0267468 -0.0211805 -0.0167726 -0.0132821 -0.0105179 -0.00832905 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0.0145521 0.0115236 0.00912544 diff --git a/data/verification/propagating-acf-10 b/data/verification/propagating-acf-10 @@ -1,10 +0,0 @@ --0.547559 -0.433606 -0.343368 -0.27191 -0.215323 -0.170512 -0.135026 -0.106926 -0.0846736 -0.0670521 --0.252137 -0.199665 -0.158112 -0.125208 -0.0991506 -0.0785163 -0.0621763 -0.0492367 -0.03899 -0.0308758 -0.12761 0.101053 0.0800227 0.0633691 0.0501814 0.0397381 0.0314682 0.0249193 0.0197333 0.0156266 -0.267311 0.21168 0.167628 0.132742 0.105117 0.0832414 0.065918 0.0521997 0.0413364 0.0327339 -0.14872 0.11777 0.0932608 0.0738523 0.0584828 0.0463119 0.0366739 0.0290417 0.0229978 0.0182117 --0.0403648 -0.0319644 -0.0253123 -0.0200446 -0.0158731 -0.0125697 -0.00995383 -0.00788233 -0.00624194 -0.00494293 --0.127802 -0.101205 -0.0801431 -0.0634645 -0.0502569 -0.0397979 -0.0315155 -0.0249568 -0.019763 -0.0156501 --0.0840501 -0.0665584 -0.0527069 -0.041738 -0.0330519 -0.0261735 -0.0207265 -0.0164131 -0.0129974 -0.0102925 -0.00821973 0.00650912 0.0051545 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0.00666023 0.00527416 0.00417655 0.00330737 0.00261907 0.00207402 0.00164239 0.00130059 diff --git a/data/verification/propagating-acf-16 b/data/verification/propagating-acf-16 @@ -1,10 +0,0 @@ --0.124059 -0.0982409 -0.077796 -0.0616058 -0.048785 -0.0386323 -0.0305925 -0.0242259 -0.0191842 -0.0151918 --0.00238854 -0.00189146 -0.00149783 -0.00118612 -0.000939272 -0.0007438 -0.000589007 -0.000466429 -0.00036936 -0.000292492 -0.075752 0.0599873 0.0475033 0.0376173 0.0297888 0.0235894 0.0186802 0.0147927 0.0117142 0.00927632 -0.0663203 0.0525184 0.0415887 0.0329337 0.0260798 0.0206524 0.0163544 0.0129509 0.0102557 0.00812135 -0.00924832 0.00732365 0.00579952 0.00459258 0.00363682 0.00287996 0.00228061 0.00180599 0.00143014 0.00113252 --0.0336748 -0.0266667 -0.0211171 -0.0167224 -0.0132423 -0.0104864 -0.0083041 -0.00657593 -0.00520741 -0.0041237 --0.0346157 -0.0274118 -0.0217071 -0.0171896 -0.0136123 -0.0107794 -0.00853612 -0.00675966 -0.00535291 -0.00423891 --0.00850423 -0.00673441 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a/data/verification/propagating-wave-length-x b/data/verification/propagating-wave-length-x @@ -1,100 +0,0 @@ - 0 1.0439 - 0.56459 1.34838 - 0.764859 1.47698 - 0.91436 1.54006 - 1.03853 1.59316 - 1.14696 1.64076 - 1.24444 1.68359 - 1.3338 1.72247 - 1.41685 1.77495 - 1.49483 1.80854 - 1.56864 1.8505 - 1.63895 1.90372 - 1.70629 1.93267 - 1.77106 1.97413 - 1.8336 2.00806 - 1.89417 2.03634 - 1.95301 2.06118 - 2.0103 2.09883 - 2.06621 2.13991 - 2.12088 2.16953 - 2.17443 2.23153 - 2.22697 2.27344 - 2.2786 2.30265 - 2.32939 2.32759 - 2.37943 2.36328 - 2.42878 2.40892 - 2.47751 2.44748 - 2.52567 2.47916 - 2.57331 2.51814 - 2.62049 2.56065 - 2.66724 2.59557 - 2.71361 2.64061 - 2.75964 2.67325 - 2.80536 2.70232 - 2.8508 2.73841 - 2.89601 2.77175 - 2.94101 2.80553 - 2.98583 2.83541 - 3.03051 2.86579 - 3.07506 2.90729 - 3.11951 2.94014 - 3.16389 2.97756 - 3.20823 3.00883 - 3.25256 3.03889 - 3.29688 3.08675 - 3.34124 3.13123 - 3.38566 3.16178 - 3.43015 3.1903 - 3.47475 3.22853 - 3.51948 3.25619 - 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4.31678 4.10921 - 4.35647 4.14595 - 4.39654 4.17496 - 4.43702 4.2132 - 4.47796 4.27087 - 4.51938 4.35013 - 4.56134 4.4034 - 4.60388 4.44897 - 4.64705 4.48324 - 4.6909 4.62189 - 4.7355 4.70321 - 4.78092 4.81668 - 4.82722 4.87768 - 4.87448 5.06085 - 4.9228 5.08479 - 4.97227 5.10578 - 5.02302 5.19546 - 5.07516 5.24059 - 5.12884 5.32002 - 5.18424 5.35031 - 5.24155 5.5887 - 5.30099 5.81148 - 5.36283 6.03107 - 5.42741 6.18388 - 5.4951 6.24785 - 5.56639 6.33981 - 5.64187 6.44279 - 5.7223 6.55857 - 5.80865 6.73578 - 5.90224 6.89856 - 6.00487 7.1909 - 6.11915 7.34054 - 6.24903 7.64383 - 6.40099 8.0385 - 6.58683 8.36553 - 6.83219 8.56218 - 7.2149 9.54042 - inf 12.7159 diff --git a/data/verification/propagating-white-noise b/data/verification/propagating-white-noise @@ -1,100 +0,0 @@ - -inf -2.91867 - -1.38187 -1.38012 - -1.21945 -1.21837 - -1.11638 -1.11473 - -1.03883 -1.03751 - -0.975742 -0.975956 - -0.922034 -0.921673 - -0.874935 -0.874852 - -0.832759 -0.833102 - -0.794395 -0.794601 - -0.759077 -0.758173 - -0.726249 -0.726374 - -0.695494 -0.69499 - -0.666493 -0.666464 - -0.638994 -0.638701 - -0.612797 -0.612079 - -0.587737 -0.587434 - -0.563679 -0.563602 - -0.540508 -0.540944 - -0.51813 -0.518448 - -0.496462 -0.497018 - -0.475433 -0.475586 - -0.454982 -0.454764 - -0.435055 -0.435307 - -0.415604 -0.415722 - -0.396588 -0.397142 - -0.377969 -0.379189 - -0.359712 -0.361378 - -0.341789 -0.343738 - -0.32417 -0.325871 - -0.306831 -0.308648 - -0.289749 -0.291508 - -0.272902 -0.274521 - -0.256271 -0.257975 - -0.239839 -0.241981 - -0.223587 -0.225845 - -0.2075 -0.20958 - -0.191564 -0.193588 - -0.175764 -0.177555 - -0.160087 -0.162116 - -0.144521 -0.146746 - -0.129052 -0.131505 - -0.113671 -0.115857 - -0.098365 -0.100522 - -0.0831239 -0.0851791 - -0.0679372 -0.0697088 - -0.0527947 -0.0544895 - -0.0376862 -0.0388474 - -0.022602 -0.0233323 - -0.00753242 -0.00807243 - 0.00753237 0.00726735 - 0.022602 0.0220783 - 0.0376862 0.0373524 - 0.0527947 0.0523103 - 0.0679372 0.0673969 - 0.083124 0.0823485 - 0.098365 0.0977786 - 0.113671 0.112876 - 0.129052 0.128017 - 0.144521 0.143632 - 0.160087 0.159369 - 0.175764 0.175144 - 0.191564 0.191065 - 0.2075 0.207108 - 0.223587 0.222844 - 0.239839 0.239517 - 0.256271 0.256145 - 0.272902 0.272199 - 0.289748 0.28913 - 0.306831 0.306091 - 0.32417 0.323272 - 0.341789 0.341168 - 0.359712 0.358928 - 0.377969 0.37723 - 0.396588 0.396398 - 0.415604 0.415513 - 0.435055 0.434985 - 0.454982 0.454999 - 0.475433 0.474977 - 0.496462 0.496183 - 0.51813 0.51775 - 0.540508 0.540735 - 0.563679 0.563837 - 0.587737 0.587238 - 0.612797 0.613232 - 0.638994 0.639317 - 0.666492 0.666223 - 0.695494 0.695345 - 0.726249 0.725907 - 0.759077 0.758684 - 0.794395 0.793976 - 0.832759 0.831541 - 0.874935 0.872118 - 0.922034 0.920354 - 0.975742 0.973172 - 1.03883 1.03645 - 1.11638 1.11431 - 1.21945 1.21718 - 1.38187 1.38084 - inf 2.64534 diff --git a/data/verification/standing-acf-0 b/data/verification/standing-acf-0 @@ -1,10 +0,0 @@ -5 4.83608 4.67754 4.52419 4.37587 4.23241 4.09365 3.95945 3.82964 3.70409 -4.36625 4.22311 4.08466 3.95075 3.82123 3.69595 3.57479 3.45759 3.34424 3.2346 -2.94813 2.85148 2.758 2.66758 2.58013 2.49554 2.41373 2.3346 2.25806 2.18403 -1.06426 1.02937 0.995621 0.962981 0.93141 0.900875 0.871341 0.842775 0.815145 0.788422 --0.899271 -0.869789 -0.841274 -0.813694 -0.787018 -0.761216 -0.73626 -0.712123 -0.688777 -0.666196 --2.5662 -2.48207 -2.4007 -2.32199 -2.24587 -2.17224 -2.10103 -2.03215 -1.96552 -1.90109 --3.6406 -3.52124 -3.4058 -3.29415 -3.18615 -3.0817 -2.98067 -2.88295 -2.78844 -2.69702 --3.95761 -3.82786 -3.70237 -3.58099 -3.46359 -3.35004 -3.24022 -3.13399 -3.03124 -2.93187 --3.50617 -3.39122 -3.28004 -3.17251 -3.0685 -2.96791 -2.87061 -2.7765 -2.68547 -2.59743 --2.42115 -2.34178 -2.26501 -2.19075 -2.11893 -2.04946 -1.98227 -1.91729 -1.85443 -1.79364 diff --git a/data/verification/standing-acf-1 b/data/verification/standing-acf-1 @@ -1,10 +0,0 @@ -4.36625 4.22311 4.08466 3.95075 3.82123 3.69595 3.57479 3.45759 3.34424 3.2346 -3.81283 3.68783 3.56693 3.45 3.33689 3.22749 3.12168 3.01934 2.92036 2.82462 -2.57446 2.49006 2.40843 2.32947 2.2531 2.17923 2.10779 2.03869 1.97185 1.90721 -0.929364 0.898896 0.869427 0.840923 0.813355 0.78669 0.760899 0.735954 0.711826 0.68849 --0.785289 -0.759544 -0.734643 -0.710559 -0.687264 -0.664732 -0.64294 -0.621862 -0.601475 -0.581756 --2.24093 -2.16747 -2.09641 -2.02768 -1.96121 -1.89691 -1.83472 -1.77457 -1.7164 -1.66013 --3.17915 -3.07493 -2.97412 -2.87662 -2.78231 -2.69109 -2.60287 -2.51754 -2.435 -2.35517 --3.45598 -3.34268 -3.2331 -3.1271 -3.02459 -2.92543 -2.82952 -2.73676 -2.64704 -2.56026 --3.06176 -2.96139 -2.8643 -2.7704 -2.67957 -2.59173 -2.50676 -2.42458 -2.34509 -2.26821 --2.11427 -2.04496 -1.97792 -1.91307 -1.85036 -1.78969 -1.73102 -1.67427 -1.61938 -1.56629 diff --git a/data/verification/standing-acf-2 b/data/verification/standing-acf-2 @@ -1,10 +0,0 @@ -2.94813 2.85148 2.758 2.66758 2.58013 2.49554 2.41373 2.3346 2.25806 2.18403 -2.57446 2.49006 2.40842 2.32947 2.2531 2.17923 2.10779 2.03869 1.97185 1.90721 -1.7383 1.68131 1.62619 1.57288 1.52131 1.47144 1.4232 1.37654 1.33141 1.28776 -0.627515 0.606943 0.587045 0.567799 0.549184 0.53118 0.513766 0.496923 0.480632 0.464875 --0.530234 -0.512851 -0.496037 -0.479775 -0.464047 -0.448833 -0.434119 -0.419887 -0.406121 -0.392807 --1.5131 -1.46349 -1.41551 -1.36911 -1.32422 -1.28081 -1.23882 -1.19821 -1.15893 -1.12093 --2.14659 -2.07622 -2.00815 -1.94232 -1.87864 -1.81705 -1.75748 -1.69986 -1.64414 -1.59023 --2.33351 -2.25701 -2.18302 -2.11145 -2.04223 -1.97527 -1.91052 -1.84788 -1.7873 -1.72871 --2.06733 -1.99955 -1.934 -1.8706 -1.80927 -1.74996 -1.69259 -1.6371 -1.58343 -1.53152 --1.42758 -1.38078 -1.33551 -1.29173 -1.24938 -1.20842 -1.1688 -1.13048 -1.09342 -1.05758 diff --git a/data/verification/standing-acf-3 b/data/verification/standing-acf-3 @@ -1,10 +0,0 @@ -1.06426 1.02937 0.995621 0.962981 0.93141 0.900875 0.871341 0.842775 0.815145 0.788422 -0.929364 0.898896 0.869427 0.840923 0.813355 0.78669 0.760899 0.735954 0.711826 0.68849 -0.627515 0.606943 0.587045 0.567799 0.549184 0.53118 0.513766 0.496923 0.480632 0.464875 -0.226529 0.219103 0.21192 0.204972 0.198252 0.191753 0.185466 0.179386 0.173505 0.167817 --0.191411 -0.185136 -0.179067 -0.173196 -0.167518 -0.162026 -0.156714 -0.151577 -0.146607 -0.141801 --0.546219 -0.528312 -0.510992 -0.49424 -0.478037 -0.462365 -0.447207 -0.432545 -0.418365 -0.404649 --0.774907 -0.749502 -0.724931 -0.701164 -0.678178 -0.655944 -0.63444 -0.61364 -0.593523 -0.574065 --0.842383 -0.814767 -0.788056 -0.76222 -0.737231 -0.713062 -0.689685 -0.667075 -0.645205 -0.624053 --0.746293 -0.721827 -0.698163 -0.675274 -0.653136 -0.631724 -0.611013 -0.590982 -0.571607 -0.552868 --0.515347 -0.498452 -0.48211 -0.466305 -0.451018 -0.436231 -0.42193 -0.408098 -0.394719 -0.381778 diff --git a/data/verification/standing-acf-4 b/data/verification/standing-acf-4 @@ -1,10 +0,0 @@ --0.899271 -0.869789 -0.841274 -0.813694 -0.787018 -0.761216 -0.73626 -0.712123 -0.688777 -0.666196 --0.785289 -0.759544 -0.734643 -0.710559 -0.687264 -0.664732 -0.64294 -0.621862 -0.601475 -0.581756 --0.530234 -0.512851 -0.496038 -0.479775 -0.464047 -0.448833 -0.434119 -0.419887 -0.406121 -0.392807 --0.191411 -0.185136 -0.179067 -0.173196 -0.167518 -0.162026 -0.156714 -0.151577 -0.146607 -0.141801 -0.161738 0.156435 0.151307 0.146346 0.141548 0.136908 0.132419 0.128078 0.123879 0.119818 -0.461541 0.44641 0.431775 0.41762 0.403929 0.390686 0.377878 0.36549 0.353508 0.341918 -0.654776 0.63331 0.612548 0.592466 0.573043 0.554256 0.536085 0.51851 0.501512 0.48507 -0.711792 0.688457 0.665887 0.644056 0.622941 0.602519 0.582766 0.563661 0.545182 0.527309 -0.630598 0.609925 0.589929 0.570589 0.551883 0.53379 0.51629 0.499364 0.482993 0.467159 -0.435455 0.421179 0.407371 0.394015 0.381098 0.368604 0.35652 0.344832 0.333527 0.322593 diff --git a/data/verification/standing-acf-5 b/data/verification/standing-acf-5 @@ -1,10 +0,0 @@ --2.5662 -2.48207 -2.4007 -2.32199 -2.24587 -2.17224 -2.10103 -2.03215 -1.96552 -1.90109 --2.24093 -2.16747 -2.09641 -2.02768 -1.96121 -1.89691 -1.83472 -1.77457 -1.7164 -1.66013 --1.5131 -1.46349 -1.41551 -1.36911 -1.32422 -1.28081 -1.23882 -1.19821 -1.15893 -1.12093 --0.546219 -0.528312 -0.510992 -0.49424 -0.478037 -0.462365 -0.447207 -0.432545 -0.418365 -0.404649 -0.461541 0.44641 0.431775 0.41762 0.403929 0.390686 0.377878 0.36549 0.353508 0.341918 -1.31707 1.2739 1.23213 1.19174 1.15267 1.11488 1.07833 1.04298 1.00878 0.975713 -1.8685 1.80724 1.74799 1.69069 1.63526 1.58165 1.5298 1.47964 1.43114 1.38422 -2.0312 1.96461 1.9002 1.83791 1.77765 1.71938 1.66301 1.60849 1.55575 1.50475 -1.7995 1.74051 1.68345 1.62826 1.57488 1.52325 1.47331 1.42501 1.37829 1.3331 -1.24263 1.20189 1.16249 1.12438 1.08752 1.05187 1.01738 0.984028 0.951767 0.920565 diff --git a/data/verification/standing-acf-6 b/data/verification/standing-acf-6 @@ -1,10 +0,0 @@ --3.6406 -3.52124 -3.4058 -3.29415 -3.18615 -3.0817 -2.98067 -2.88295 -2.78844 -2.69702 --3.17915 -3.07493 -2.97412 -2.87662 -2.78231 -2.69109 -2.60287 -2.51754 -2.435 -2.35517 --2.14659 -2.07622 -2.00815 -1.94232 -1.87864 -1.81705 -1.75748 -1.69986 -1.64414 -1.59023 --0.774907 -0.749502 -0.724931 -0.701165 -0.678178 -0.655944 -0.63444 -0.61364 -0.593523 -0.574065 -0.654776 0.63331 0.612548 0.592466 0.573043 0.554256 0.536085 0.51851 0.501512 0.48507 -1.8685 1.80724 1.74799 1.69069 1.63526 1.58165 1.5298 1.47964 1.43114 1.38422 -2.65079 2.56388 2.47983 2.39853 2.3199 2.24384 2.17028 2.09913 2.03031 1.96375 -2.88161 2.78714 2.69577 2.60739 2.52191 2.43923 2.35926 2.28192 2.20711 2.13475 -2.55291 2.46921 2.38826 2.30997 2.23424 2.16099 2.09014 2.02162 1.95534 1.89124 -1.76289 1.70509 1.64919 1.59513 1.54283 1.49225 1.44333 1.39601 1.35025 1.30598 diff --git a/data/verification/standing-acf-7 b/data/verification/standing-acf-7 @@ -1,10 +0,0 @@ --3.95761 -3.82786 -3.70237 -3.58099 -3.46359 -3.35004 -3.24022 -3.13399 -3.03124 -2.93187 --3.45598 -3.34268 -3.2331 -3.1271 -3.02459 -2.92543 -2.82952 -2.73676 -2.64704 -2.56026 --2.33351 -2.25701 -2.18302 -2.11145 -2.04223 -1.97527 -1.91052 -1.84788 -1.7873 -1.72871 --0.842383 -0.814767 -0.788056 -0.76222 -0.737231 -0.713062 -0.689685 -0.667075 -0.645205 -0.624053 -0.711792 0.688457 0.665887 0.644056 0.622942 0.602519 0.582766 0.563661 0.545182 0.527309 -2.0312 1.96461 1.9002 1.83791 1.77765 1.71938 1.66301 1.60849 1.55576 1.50475 -2.88161 2.78714 2.69577 2.60739 2.52191 2.43923 2.35926 2.28192 2.20711 2.13475 -3.13253 3.02984 2.93051 2.83443 2.74151 2.65163 2.5647 2.48062 2.3993 2.32064 -2.77521 2.68422 2.59623 2.51111 2.42879 2.34916 2.27215 2.19766 2.12561 2.05592 -1.9164 1.85357 1.7928 1.73403 1.67718 1.62219 1.56901 1.51757 1.46782 1.4197 diff --git a/data/verification/standing-acf-8 b/data/verification/standing-acf-8 @@ -1,10 +0,0 @@ --3.50617 -3.39122 -3.28004 -3.17251 -3.0685 -2.96791 -2.87061 -2.7765 -2.68547 -2.59743 --3.06176 -2.96139 -2.8643 -2.7704 -2.67957 -2.59173 -2.50676 -2.42458 -2.34509 -2.26821 --2.06733 -1.99955 -1.934 -1.8706 -1.80927 -1.74996 -1.69259 -1.6371 -1.58343 -1.53152 --0.746293 -0.721827 -0.698162 -0.675274 -0.653136 -0.631724 -0.611013 -0.590982 -0.571607 -0.552868 -0.630598 0.609925 0.589929 0.570589 0.551883 0.53379 0.51629 0.499364 0.482993 0.467159 -1.7995 1.74051 1.68345 1.62826 1.57488 1.52325 1.47331 1.42501 1.37829 1.33311 -2.55291 2.46921 2.38826 2.30997 2.23424 2.16099 2.09014 2.02162 1.95534 1.89124 -2.77521 2.68422 2.59623 2.51111 2.42879 2.34916 2.27215 2.19766 2.12561 2.05592 -2.45864 2.37804 2.30008 2.22467 2.15174 2.08119 2.01296 1.94697 1.88314 1.82141 -1.69779 1.64213 1.5883 1.53623 1.48586 1.43715 1.39004 1.34447 1.30039 1.25776 diff --git a/data/verification/standing-acf-9 b/data/verification/standing-acf-9 @@ -1,10 +0,0 @@ --2.42115 -2.34178 -2.26501 -2.19075 -2.11893 -2.04946 -1.98227 -1.91729 -1.85443 -1.79364 --2.11427 -2.04496 -1.97792 -1.91307 -1.85036 -1.78969 -1.73102 -1.67427 -1.61938 -1.56629 --1.42758 -1.38078 -1.33551 -1.29173 -1.24938 -1.20842 -1.1688 -1.13048 -1.09342 -1.05758 --0.515347 -0.498451 -0.48211 -0.466305 -0.451018 -0.436231 -0.42193 -0.408098 -0.394719 -0.381778 -0.435454 0.421179 0.407371 0.394015 0.381098 0.368604 0.35652 0.344832 0.333527 0.322593 -1.24263 1.20189 1.16249 1.12438 1.08752 1.05187 1.01738 0.984028 0.951767 0.920565 -1.76289 1.70509 1.64919 1.59513 1.54283 1.49225 1.44333 1.39601 1.35025 1.30598 -1.9164 1.85357 1.7928 1.73403 1.67718 1.62219 1.56901 1.51757 1.46782 1.4197 -1.69779 1.64213 1.5883 1.53623 1.48586 1.43715 1.39004 1.34447 1.30039 1.25776 -1.1724 1.13396 1.09679 1.06083 1.02605 0.992413 0.959878 0.928409 0.897972 0.868533 diff --git a/data/verification/standing-elevation b/data/verification/standing-elevation @@ -1,100 +0,0 @@ - -inf -6.68929 - -3.89236 -3.98173 - -3.43487 -3.5135 - -3.14455 -3.20828 - -2.92611 -2.96946 - -2.7484 -2.77244 - -2.59712 -2.61511 - -2.46446 -2.47271 - -2.34566 -2.34598 - 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