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ls calculation

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This commit is contained in:
hrocho 2018-01-22 19:36:50 +01:00
parent 1295926535
commit 407d482e9f
8 changed files with 490 additions and 496 deletions
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4
calculations.cpp
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@ -167,7 +167,7 @@ double bethek_lindhard(const Projectile &p){
double dk[3];
double dmk = 0;
double dkm1 = 0;
while(n<100){
while(n<5000){
double k0 = n;
int max = (n==1)?3:2;
for(int i=0;i<max;i++){
@ -284,7 +284,7 @@ double bethek_lindhard_X(const Projectile &p){
double dkm1 = 0;
double dkm2 = 0;
while(n<200){
while(n<1000){
double k0 = n;
//int max = (n==1)?4:2;
int max = 4;

6
catima.pyx
View File

@ -442,6 +442,12 @@ def energy_out(Projectile projectile, Material material, energy = None, Config c
energy = projectile.T()
return catimac.energy_out(projectile.cbase, energy, material.cbase, config.cbase)
def lindhard(Projectile projectile):
return catimac.bethek_lindhard(projectile.cbase);
def lindhard_X(Projectile projectile):
return catimac.bethek_lindhard_X(projectile.cbase);
def z_effective(Projectile p, Target t, Config c = default_config):
return catimac.z_effective(p.cbase, t.cbase, c.cbase)

2
catimac.pxd
View File

@ -84,6 +84,8 @@ cdef extern from "catima/catima.h" namespace "catima":
cdef MultiResult calculate(Projectile &p, const Layers &layers, const Config &c);
cdef extern from "catima/calculations.h" namespace "catima":
cdef double bethek_lindhard(const Projectile &p);
cdef double bethek_lindhard_X(const Projectile &p);
cdef double z_effective(const Projectile &p, const Target &t, const Config &c);
cdef double z_eff_Pierce_Blann(double z, double beta);
cdef double z_eff_Anthony_Landford(double pz, double beta, double tz);

22
examples/ls_coefficients.cpp
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@ -1,22 +1,28 @@
/**
* this example program print out Lindhard - Soerrensen coefficients for 238U
* this example program print out Lindhard - Soerrensen coefficients
*/
#include "catima/catima.h"
#include "catima/storage.h"
#include <iostream>
#include <stdlib.h>
using std::cout;
using std::endl;
int main(){
catima::Projectile p(238,92); // define projectile, ie 12C
cout<<"projectile 238U\n";
auto energies = catima::EnergyTable<50>(2,5); // get energy table, energies log distributed between 10^2 and 10000^5;
int main(int argc, char** argv){
catima::Projectile p(238.0,92); // define projectile
if(argc>2){
double a = atof(argv[1]);
int z = atoi(argv[2]);
if(a>0 && z>0 && z<120){
p.A = a;
p.Z = z;
}
}
cout<<"projectile: A = "<<p.A<<", Z = "<<p.Z<<"\n";
auto energies = catima::EnergyTable<100>(1,5); // get energy table, energies log distributed between 10^1 and 10000^5;
for(double T:energies){
auto ls = catima::bethek_lindhard(p(T));
auto lsX = catima::bethek_lindhard_X(p(T));

865
generated_LS_coeff.h
View File

@ -13,7 +13,6 @@ constexpr double a_rel_increase=0.05;
constexpr double logEmin = 0;
constexpr double logEmax = 5;
// energy points array in MeV/u
//constexpr EnergyTable<200> ls_energy_table(0,5);
EnergyTable<200> ls_energy_table(0,5);
//arrays dimensions are [z][energy], z=1 starts from index=0
@ -21,227 +20,227 @@ EnergyTable<200> ls_energy_table(0,5);
//LS coefficient for A=atomic weight
double ls_coefficients_a[][200]=
{
{-0.0286045,-0.0269804,-0.0254428,-0.0239872,-0.0226093,-0.0213049,-0.0200702,-0.0189013,-0.0177949,-0.0167474,-0.0157558,-0.014817,-0.0139281,-0.0130863,-0.0122891,-0.011534,-0.0108187,-0.0101409,-0.00949862,-0.00888978,-0.00831252,-0.00776505,-0.00724566,-0.00675277,-0.00628483,-0.00584042,-0.00541816,-0.00501676,-0.004635,-0.00427171,-0.0039258,-0.00359621,-0.00328197,-0.00298213,-0.00269582,-0.00242219,-0.00216044,-0.00190982,-0.00166962,-0.00143916,-0.00121779,-0.00100491,-0.000799939,-0.000602328,-0.000411558,-0.000227135,-4.85926e-05,0.000124515,0.000292608,0.000456088,0.000615334,0.000770707,0.00092255,0.00107119,0.00121693,0.00136007,0.00150088,0.00163964,0.00177658,0.00191195,0.00204598,0.00217887,0.00231082,0.00244204,0.00257269,0.00270294,0.00283296,0.00296289,0.00309287,0.00322302,0.00335347,0.00348433,0.0036157,0.00374765,0.00388029,0.00401366,0.00414784,0.00428288,0.00441881,0.00455567,0.00469348,0.00483224,0.00497195,0.00511261,0.00525419,0.00539665,0.00553995,0.00568404,0.00582885,0.00597429,0.00612028,0.00626672,0.0064135,0.00656049,0.00670756,0.00685458,0.00700139,0.00714783,0.00729373,0.00743893,0.00758323,0.00772646,0.00786843,0.00800894,0.0081478,0.00828483,0.00841982,0.00855259,0.00868295,0.00881072,0.00893574,0.00905783,0.00917685,0.00929265,0.00940509,0.00951406,0.00961946,0.00972119,0.00981919,0.00991338,0.0100037,0.0100902,0.0101728,0.0102515,0.0103263,0.0103973,0.0104645,0.010528,0.0105877,0.0106439,0.0106966,0.0107458,0.0107917,0.0108344,0.010874,0.0109106,0.0109442,0.010975,0.0110032,0.0110287,0.0110517,0.0110723,0.0110906,0.0111066,0.0111204,0.0111321,0.0111416,0.0111491,0.0111546,0.0111579,0.0111592,0.0111584,0.0111555,0.0111503,0.0111428,0.0111328,0.0111203,0.0111049,0.0110867,0.0110652,0.0110402,0.0110114,0.0109784,0.0109408,0.0108982,0.0108498,0.0107952,0.0107337,0.0106644,0.0105865,0.0104989,0.0104006,0.0102902,0.0101663,0.0100274,0.00987164,0.00969698,0.00950117,0.00928167,0.00903562,0.00875984,0.00845074,0.00810429,0.007716,0.00728082,0.00679309,0.00624647,0.00563388,0.00494736,0.00417801,0.00331658,0.00235092,0.00126908,5.71883e-05,-0.00130022,-0.0028204,-0.00452262,-0.00642768,-0.00856025,-0.0109464},
{-0.108688,-0.102928,-0.0974436,-0.0922234,-0.0872567,-0.0825327,-0.078041,-0.0737715,-0.0697143,-0.0658599,-0.062199,-0.0587226,-0.0554221,-0.052289,-0.0493155,-0.0464936,-0.0438161,-0.0412756,-0.0388655,-0.036579,-0.03441,-0.0323523,-0.0304003,-0.0285484,-0.0267913,-0.0251241,-0.023542,-0.0220403,-0.0206149,-0.0192614,-0.017976,-0.0167548,-0.0155945,-0.0144914,-0.0134425,-0.0124446,-0.0114949,-0.0105905,-0.00972878,-0.0089073,-0.00812365,-0.00737559,-0.00666096,-0.00597774,-0.00532399,-0.00469789,-0.00409769,-0.00352176,-0.00296851,-0.00243647,-0.00192422,-0.00143044,-0.00095385,-0.00049325,-4.74986e-05,0.000384484,0.000803725,0.00121119,0.00160781,0.00199446,0.00237195,0.00274106,0.00310255,0.00345711,0.00380539,0.00414801,0.00448558,0.00481862,0.00514766,0.00547319,0.00579565,0.00611547,0.00643304,0.00674871,0.00706282,0.00737566,0.00768752,0.00799864,0.00830923,0.00861949,0.00892957,0.00923961,0.00954971,0.00985995,0.0101704,0.010481,0.0107919,0.011103,0.0114141,0.0117254,0.0120365,0.0123474,0.012658,0.012968,0.0132773,0.0135855,0.0138925,0.014198,0.0145017,0.0148033,0.0151024,0.0153987,0.015692,0.0159818,0.0162677,0.0165495,0.0168267,0.0170991,0.0173662,0.0176278,0.0178835,0.018133,0.018376,0.0186122,0.0188415,0.0190635,0.0192781,0.0194851,0.0196844,0.0198759,0.0200595,0.0202351,0.0204027,0.0205624,0.0207141,0.020858,0.0209941,0.0211225,0.0212435,0.021357,0.0214634,0.0215627,0.0216552,0.0217411,0.0218205,0.0218937,0.0219609,0.0220223,0.0220781,0.0221284,0.0221734,0.0222134,0.0222484,0.0222785,0.022304,0.0223247,0.0223408,0.0223524,0.0223593,0.0223616,0.0223591,0.0223517,0.0223393,0.0223217,0.0222984,0.0222693,0.0222338,0.0221915,0.022142,0.0220844,0.022018,0.0219421,0.0218556,0.0217574,0.0216463,0.0215209,0.0213795,0.0212203,0.0210414,0.0208404,0.0206147,0.0203615,0.0200775,0.0197591,0.0194022,0.0190021,0.0185539,0.0180516,0.0174889,0.0168585,0.0161524,0.0153617,0.014476,0.0134842,0.0123736,0.01113,0.00973795,0.00817973,0.00643584,0.00448485,0.00230213,-0.000138951,-0.00286818,-0.00591852,-0.00932638,-0.0131339,-0.0173829,-0.0221232,-0.0274083,-0.0332967},
{-0.223888,-0.213014,-0.202575,-0.192561,-0.182961,-0.173765,-0.16496,-0.156537,-0.148481,-0.140783,-0.13343,-0.12641,-0.119711,-0.113321,-0.107229,-0.101423,-0.0958918,-0.0906241,-0.085609,-0.0808357,-0.0762937,-0.0719729,-0.0678634,-0.0639555,-0.06024,-0.0567078,-0.0533503,-0.050159,-0.0471258,-0.044243,-0.041503,-0.0388988,-0.0364233,-0.0340699,-0.0318323,-0.0297045,-0.0276805,-0.025755,-0.0239225,-0.0221779,-0.0205165,-0.0189336,-0.0174249,-0.0159861,-0.0146132,-0.0133025,-0.0120503,-0.0108531,-0.00970773,-0.008611,-0.00755998,-0.00655182,-0.00558387,-0.00465356,-0.00375848,-0.00289633,-0.00206494,-0.00126224,-0.000486252,0.000264869,0.000992892,0.00169949,0.00238624,0.00305464,0.0037061,0.00434197,0.00496351,0.0055719,0.00616826,0.00675365,0.00732905,0.00789539,0.00845353,0.00900427,0.00954836,0.0100865,0.0106193,0.0111473,0.0116711,0.0121912,0.0127079,0.0132217,0.0137328,0.0142415,0.0147481,0.0152526,0.0157553,0.0162562,0.0167554,0.0172527,0.0177482,0.0182417,0.0187331,0.0192222,0.0197088,0.0201926,0.0206732,0.0211504,0.0216238,0.0220929,0.0225574,0.0230168,0.0234707,0.0239185,0.0243598,0.0247941,0.0252209,0.0256397,0.02605,0.0264514,0.0268435,0.0272257,0.0275976,0.027959,0.0283095,0.0286487,0.0289764,0.0292923,0.0295963,0.0298882,0.030168,0.0304356,0.0306909,0.030934,0.031165,0.031384,0.0315912,0.0317866,0.0319706,0.0321434,0.0323051,0.0324563,0.032597,0.0327277,0.0328486,0.03296,0.0330624,0.0331559,0.0332409,0.0333177,0.0333865,0.0334476,0.0335012,0.0335474,0.0335866,0.0336187,0.0336438,0.0336621,0.0336734,0.0336777,0.033675,0.0336649,0.0336472,0.0336217,0.0335879,0.0335453,0.0334933,0.0334311,0.0333581,0.0332732,0.0331753,0.0330631,0.0329353,0.0327902,0.0326259,0.0324404,0.0322313,0.0319959,0.0317313,0.031434,0.0311003,0.0307259,0.0303061,0.0298355,0.0293081,0.0287171,0.0280551,0.0273136,0.0264833,0.0255536,0.0245126,0.0233472,0.0220429,0.0205831,0.0189497,0.0171223,0.0150786,0.0127931,0.0102381,0.00738272,0.00419276,0.000630489,-0.00334723,-0.00778419,-0.0127317,-0.0182448,-0.0243837,-0.0312165,-0.038811,-0.0472452},
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};
//LS coefficient for A=atomic weight * 1.05
double ls_coefficients_ahi[][200]=
{
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};
//arrays dimensions are [z][energy], z=1 starts from index=0
@ -249,227 +248,227 @@ double ls_coefficients_ahi[][200]=
//LS X coefficient (dE straggling) for A=atomic weight
double ls_X_coefficients_a[][200]=
{
{0.999178,0.999119,0.999056,0.99899,0.998919,0.998845,0.998765,0.998681,0.998592,0.998497,0.998396,0.998289,0.998176,0.998056,0.997928,0.997793,0.997649,0.997497,0.997336,0.997165,0.996983,0.996791,0.996587,0.99637,0.996141,0.995898,0.995641,0.995367,0.995078,0.994772,0.994447,0.994102,0.993738,0.993351,0.992942,0.992509,0.99205,0.991564,0.99105,0.990505,0.989929,0.989319,0.988673,0.98799,0.987267,0.986503,0.985695,0.98484,0.983936,0.982981,0.981971,0.980904,0.979777,0.978587,0.97733,0.976003,0.974602,0.973125,0.971566,0.969922,0.968189,0.966363,0.964439,0.962413,0.96028,0.958035,0.955675,0.953193,0.950584,0.947845,0.944968,0.941951,0.938786,0.935469,0.931996,0.92836,0.924557,0.920583,0.916432,0.912101,0.907584,0.90288,0.897983,0.892892,0.887604,0.882117,0.87643,0.870542,0.864454,0.858167,0.851682,0.845003,0.838132,0.831076,0.823841,0.816432,0.808859,0.80113,0.793257,0.785251,0.777124,0.768891,0.760567,0.752167,0.743708,0.735208,0.726685,0.718157,0.709645,0.701167,0.692742,0.68439,0.676131,0.667983,0.659964,0.652091,0.644382,0.636851,0.629512,0.62238,0.615464,0.608777,0.602325,0.596117,0.590157,0.584451,0.579,0.573805,0.568866,0.564182,0.55975,0.555564,0.551621,0.547915,0.544438,0.541183,0.538142,0.535306,0.532667,0.530216,0.527943,0.525839,0.523894,0.5221,0.520446,0.518926,0.517528,0.516247,0.515072,0.513997,0.513014,0.512115,0.511296,0.510548,0.509866,0.509245,0.508679,0.508164,0.507694,0.507265,0.506874,0.506516,0.506189,0.505888,0.505611,0.505355,0.505117,0.504895,0.504685,0.504487,0.504296,0.504112,0.503933,0.503755,0.503576,0.503396,0.503211,0.503019,0.502817,0.502604,0.502376,0.50213,0.501864,0.501574,0.501256,0.500906,0.500519,0.500092,0.499617,0.49909,0.498503,0.497849,0.497119,0.496305,0.495397,0.494382,0.493249,0.491983,0.49057,0.488991},
{0.999592,0.999538,0.99948,0.999419,0.999353,0.999284,0.99921,0.999131,0.999048,0.998959,0.998864,0.998763,0.998656,0.998543,0.998422,0.998294,0.998158,0.998013,0.997859,0.997696,0.997523,0.997339,0.997144,0.996936,0.996716,0.996483,0.996235,0.995972,0.995693,0.995397,0.995083,0.994751,0.994398,0.994023,0.993627,0.993206,0.992761,0.992288,0.991788,0.991258,0.990696,0.990101,0.989471,0.988804,0.988098,0.987351,0.98656,0.985723,0.984838,0.983901,0.982911,0.981864,0.980758,0.979589,0.978354,0.977049,0.975671,0.974217,0.972682,0.971063,0.969356,0.967555,0.965658,0.963659,0.961554,0.959338,0.957007,0.954554,0.951977,0.949268,0.946424,0.943439,0.940307,0.937025,0.933586,0.929985,0.926219,0.922281,0.918167,0.913874,0.909396,0.904731,0.899874,0.894824,0.889576,0.884131,0.878486,0.87264,0.866595,0.860351,0.853909,0.847274,0.840448,0.833436,0.826244,0.81888,0.811352,0.803668,0.795839,0.787877,0.779795,0.771605,0.763325,0.754968,0.746552,0.738094,0.729612,0.721126,0.712654,0.704215,0.695829,0.687515,0.679292,0.67118,0.663195,0.655356,0.647679,0.64018,0.632872,0.625768,0.61888,0.612219,0.605793,0.599609,0.593672,0.587987,0.582556,0.577381,0.57246,0.567793,0.563376,0.559205,0.555275,0.551581,0.548115,0.54487,0.541837,0.53901,0.536378,0.533932,0.531664,0.529563,0.527621,0.525829,0.524176,0.522655,0.521256,0.519971,0.518792,0.517712,0.516722,0.515816,0.514986,0.514227,0.513532,0.512895,0.512312,0.511776,0.511283,0.510829,0.510408,0.510018,0.509653,0.509311,0.508987,0.508679,0.508382,0.508094,0.50781,0.507529,0.507246,0.506958,0.506662,0.506354,0.50603,0.505687,0.505319,0.504922,0.504492,0.504023,0.503509,0.502943,0.502319,0.501628,0.500862,0.500011,0.499065,0.498012,0.496839,0.495533,0.494077,0.492453,0.490644,0.488628,0.486382,0.48388,0.481096,0.478001,0.474561,0.470743},
{1.00016,1.00011,1.00006,1.00001,0.999947,0.999884,0.999816,0.999744,0.999667,0.999584,0.999496,0.999402,0.999302,0.999195,0.999082,0.998961,0.998832,0.998695,0.998549,0.998394,0.998229,0.998053,0.997866,0.997668,0.997457,0.997233,0.996994,0.996741,0.996473,0.996187,0.995884,0.995562,0.995221,0.994859,0.994474,0.994066,0.993633,0.993174,0.992687,0.992171,0.991624,0.991044,0.990429,0.989778,0.989088,0.988357,0.987583,0.986764,0.985897,0.984979,0.984008,0.982981,0.981895,0.980746,0.979532,0.978249,0.976894,0.975463,0.973952,0.972357,0.970674,0.9689,0.967028,0.965056,0.962979,0.960791,0.958488,0.956065,0.953518,0.95084,0.948027,0.945074,0.941976,0.938726,0.935322,0.931756,0.928025,0.924123,0.920047,0.91579,0.911351,0.906724,0.901907,0.896896,0.891689,0.886284,0.88068,0.874876,0.868873,0.862671,0.856273,0.84968,0.842897,0.835929,0.828781,0.821461,0.813976,0.806336,0.798551,0.790632,0.782593,0.774447,0.766209,0.757895,0.749521,0.741104,0.732663,0.724217,0.715784,0.707384,0.699036,0.690759,0.682572,0.674495,0.666544,0.658738,0.651093,0.643624,0.636346,0.62927,0.62241,0.615775,0.609374,0.603213,0.597299,0.591635,0.586224,0.581068,0.576165,0.571514,0.567112,0.562955,0.559039,0.555357,0.551902,0.548667,0.545644,0.542824,0.540199,0.53776,0.535497,0.533401,0.531462,0.529672,0.528021,0.5265,0.525101,0.523815,0.522634,0.52155,0.520555,0.519643,0.518806,0.518038,0.517333,0.516685,0.516087,0.515536,0.515026,0.514551,0.514108,0.513692,0.513298,0.512923,0.512563,0.512213,0.51187,0.51153,0.511189,0.510842,0.510487,0.510117,0.50973,0.50932,0.508882,0.508411,0.507901,0.507345,0.506736,0.506068,0.505331,0.504516,0.503614,0.502614,0.501502,0.500266,0.49889,0.49736,0.495655,0.493757,0.491644,0.489292,0.486674,0.483764,0.48053,0.47694,0.472957,0.468544,0.463661,0.458267},
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{1.00162,1.0016,1.00157,1.00154,1.0015,1.00146,1.00141,1.00136,1.00131,1.00124,1.00118,1.0011,1.00102,1.00094,1.00084,1.00074,1.00064,1.00052,1.00039,1.00026,1.00011,0.999957,0.99979,0.999612,0.999422,0.999219,0.999002,0.998771,0.998524,0.998261,0.99798,0.997682,0.997364,0.997025,0.996666,0.996283,0.995876,0.995443,0.994983,0.994495,0.993976,0.993425,0.99284,0.99222,0.991562,0.990863,0.990123,0.989338,0.988506,0.987624,0.986691,0.985702,0.984654,0.983546,0.982374,0.981133,0.979822,0.978435,0.97697,0.975422,0.973788,0.972063,0.970242,0.968322,0.966298,0.964165,0.961918,0.959553,0.957064,0.954446,0.951694,0.948804,0.945769,0.942585,0.939247,0.93575,0.932087,0.928256,0.924251,0.920068,0.915702,0.911151,0.90641,0.901476,0.896348,0.891022,0.885499,0.879776,0.873855,0.867736,0.861421,0.854912,0.848214,0.84133,0.834267,0.827032,0.819632,0.812077,0.804377,0.796543,0.788588,0.780526,0.772371,0.764138,0.755845,0.747509,0.739147,0.730778,0.722422,0.714096,0.705821,0.697616,0.689499,0.681489,0.673605,0.665863,0.658279,0.650869,0.643648,0.636628,0.62982,0.623236,0.616882,0.610767,0.604897,0.599274,0.593902,0.588782,0.583914,0.579295,0.574924,0.570796,0.566905,0.563247,0.559815,0.5566,0.553596,0.550793,0.548183,0.545758,0.543506,0.541421,0.539491,0.537708,0.536062,0.534546,0.533149,0.531864,0.530682,0.529596,0.528597,0.52768,0.526835,0.526058,0.525341,0.524679,0.524065,0.523495,0.522962,0.522463,0.521991,0.521542,0.521112,0.520695,0.520288,0.519886,0.519484,0.519078,0.518663,0.518233,0.517785,0.517311,0.516808,0.516268,0.515684,0.515051,0.514359,0.5136,0.512765,0.511845,0.510826,0.509698,0.508446,0.507057,0.505512,0.503795,0.501885,0.499761,0.497398,0.494772,0.491854,0.488614,0.485018,0.481032,0.476617,0.471734,0.466342,0.460397,0.453855,0.446669},
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{1.01107,1.01176,1.0125,1.01327,1.01409,1.01494,1.01585,1.0168,1.0178,1.01886,1.01997,1.02115,1.02238,1.02369,1.02507,1.02653,1.02806,1.02968,1.03139,1.03319,1.0351,1.03711,1.03922,1.04146,1.04382,1.04631,1.04894,1.05171,1.05464,1.05772,1.06098,1.06441,1.06803,1.07184,1.07586,1.0801,1.08457,1.08928,1.09423,1.09945,1.10495,1.11073,1.11681,1.12321,1.12993,1.137,1.14442,1.15221,1.16039,1.16896,1.17795,1.18736,1.19722,1.20753,1.21831,1.22957,1.24132,1.25358,1.26635,1.27965,1.29348,1.30785,1.32277,1.33824,1.35426,1.37084,1.38797,1.40565,1.42387,1.44263,1.46191,1.48171,1.502,1.52277,1.54399,1.56564,1.5877,1.61012,1.63289,1.65596,1.6793,1.70285,1.72658,1.75045,1.7744,1.79837,1.82233,1.84621,1.86996,1.89352,1.91684,1.93986,1.96253,1.98479,2.00659,2.02787,2.04859,2.0687,2.08816,2.10692,2.12495,2.14222,2.15869,2.17435,2.18918,2.20315,2.21627,2.22852,2.23991,2.25043,2.26011,2.26894,2.27695,2.28415,2.29056,2.29622,2.30113,2.30534,2.30886,2.31173,2.31397,2.31561,2.31668,2.3172,2.3172,2.3167,2.31571,2.31426,2.31235,2.31001,2.30724,2.30405,2.30044,2.29642,2.29198,2.28711,2.28182,2.27608,2.2699,2.26325,2.25611,2.24847,2.24031,2.23159,2.2223,2.2124,2.20186,2.19065,2.17874,2.16609,2.15265,2.13838,2.12325,2.10721,2.09022,2.07222,2.05316,2.033,2.01169,1.98918,1.96541,1.94034,1.91391,1.88608,1.8568,1.82603,1.79374,1.75988,1.72442,1.68736,1.64867,1.60835,1.56642,1.5229,1.47783,1.43126,1.38328,1.33398,1.28348,1.23192,1.17948,1.12635,1.07273,1.01888,0.965058,0.911526,0.858573,0.806486,0.755544,0.706013,0.658139,0.612127,0.568149,0.526327,0.486735,0.449399,0.414298,0.38138,0.350562,0.321751}
};
//LS X coefficient for A=atomic weight * 1.05
double ls_X_coefficients_ahi[][200]=
{
{0.999178,0.999119,0.999056,0.99899,0.998919,0.998845,0.998765,0.998681,0.998592,0.998497,0.998396,0.998289,0.998176,0.998056,0.997928,0.997793,0.997649,0.997497,0.997336,0.997165,0.996983,0.996791,0.996587,0.99637,0.996141,0.995898,0.995641,0.995367,0.995078,0.994772,0.994447,0.994102,0.993738,0.993351,0.992942,0.992509,0.99205,0.991564,0.99105,0.990505,0.989929,0.989319,0.988673,0.98799,0.987267,0.986503,0.985695,0.98484,0.983936,0.982981,0.981971,0.980904,0.979777,0.978587,0.97733,0.976003,0.974602,0.973125,0.971566,0.969922,0.968189,0.966363,0.964439,0.962413,0.96028,0.958035,0.955675,0.953193,0.950584,0.947845,0.944968,0.941951,0.938786,0.935469,0.931996,0.92836,0.924557,0.920583,0.916432,0.912101,0.907584,0.90288,0.897983,0.892892,0.887604,0.882117,0.87643,0.870542,0.864454,0.858167,0.851682,0.845002,0.838132,0.831076,0.82384,0.816432,0.808859,0.80113,0.793257,0.78525,0.777124,0.768891,0.760567,0.752167,0.743708,0.735208,0.726685,0.718157,0.709645,0.701166,0.692742,0.68439,0.676131,0.667983,0.659964,0.652091,0.644382,0.63685,0.629512,0.622379,0.615464,0.608776,0.602325,0.596117,0.590157,0.584451,0.578999,0.573805,0.568866,0.564182,0.559749,0.555564,0.551621,0.547914,0.544437,0.541182,0.538141,0.535306,0.532667,0.530215,0.527942,0.525838,0.523893,0.522098,0.520445,0.518924,0.517527,0.516245,0.51507,0.513995,0.513011,0.512113,0.511293,0.510545,0.509863,0.509241,0.508675,0.508159,0.507688,0.507259,0.506867,0.506509,0.506181,0.505879,0.505601,0.505344,0.505105,0.504881,0.50467,0.50447,0.504278,0.504091,0.503909,0.503728,0.503547,0.503363,0.503174,0.502978,0.502771,0.502553,0.502319,0.502066,0.501792,0.501494,0.501166,0.500805,0.500407,0.499966,0.499477,0.498933,0.498327,0.497652,0.496899,0.496059,0.495122,0.494074,0.492905,0.491599,0.490141,0.488513},
{0.999592,0.999538,0.99948,0.999419,0.999353,0.999284,0.99921,0.999131,0.999048,0.998959,0.998864,0.998763,0.998656,0.998543,0.998422,0.998294,0.998158,0.998013,0.997859,0.997696,0.997523,0.997339,0.997144,0.996936,0.996716,0.996483,0.996235,0.995972,0.995693,0.995397,0.995083,0.994751,0.994398,0.994023,0.993627,0.993206,0.992761,0.992288,0.991788,0.991258,0.990696,0.990101,0.989471,0.988804,0.988098,0.987351,0.98656,0.985723,0.984838,0.983901,0.982911,0.981864,0.980758,0.979589,0.978354,0.977049,0.975671,0.974217,0.972682,0.971063,0.969355,0.967555,0.965658,0.963659,0.961554,0.959338,0.957007,0.954554,0.951977,0.949268,0.946424,0.943439,0.940307,0.937025,0.933586,0.929985,0.926219,0.922281,0.918167,0.913874,0.909396,0.904731,0.899874,0.894824,0.889576,0.884131,0.878486,0.87264,0.866595,0.860351,0.853909,0.847274,0.840447,0.833436,0.826244,0.81888,0.811351,0.803667,0.795839,0.787877,0.779794,0.771605,0.763324,0.754968,0.746552,0.738094,0.729612,0.721126,0.712653,0.704214,0.695828,0.687514,0.679292,0.671179,0.663195,0.655356,0.647679,0.640179,0.632871,0.625767,0.61888,0.612219,0.605792,0.599608,0.593671,0.587986,0.582556,0.57738,0.572459,0.567792,0.563375,0.559204,0.555274,0.551579,0.548113,0.544868,0.541836,0.539008,0.536376,0.53393,0.531661,0.529561,0.527618,0.525825,0.524173,0.522651,0.521252,0.519967,0.518788,0.517706,0.516716,0.515809,0.514979,0.514219,0.513523,0.512885,0.512301,0.511764,0.51127,0.510814,0.510392,0.509999,0.509633,0.509288,0.508962,0.508651,0.508351,0.508059,0.507771,0.507485,0.507198,0.506904,0.506602,0.506287,0.505955,0.505603,0.505225,0.504818,0.504375,0.503892,0.503363,0.50278,0.502136,0.501424,0.500634,0.499756,0.498781,0.497694,0.496485,0.495137,0.493635,0.491961,0.490095,0.488015,0.4857,0.48312,0.480251,0.477062,0.473519,0.469587},
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{1.01181,1.01255,1.01333,1.01414,1.015,1.01591,1.01687,1.01787,1.01893,1.02005,1.02123,1.02248,1.02379,1.02517,1.02663,1.02817,1.0298,1.03151,1.03332,1.03523,1.03724,1.03937,1.04161,1.04397,1.04646,1.04909,1.05186,1.05478,1.05786,1.06111,1.06453,1.06814,1.07193,1.07593,1.08014,1.08458,1.08924,1.09415,1.09932,1.10475,1.11046,1.11645,1.12275,1.12936,1.1363,1.14357,1.1512,1.15919,1.16755,1.17631,1.18546,1.19503,1.20502,1.21544,1.22631,1.23763,1.24941,1.26167,1.2744,1.28762,1.30132,1.31552,1.33021,1.34539,1.36106,1.37721,1.39385,1.41096,1.42854,1.44656,1.46502,1.4839,1.50317,1.52283,1.54283,1.56316,1.58378,1.60467,1.62578,1.64708,1.66853,1.69009,1.71171,1.73335,1.75496,1.7765,1.79791,1.81914,1.84015,1.86088,1.88128,1.90131,1.92091,1.94004,1.95866,1.97671,1.99416,2.01097,2.02712,2.04256,2.05726,2.07122,2.08441,2.09681,2.10842,2.11923,2.12923,2.13844,2.14686,2.1545,2.16138,2.16751,2.17291,2.17762,2.18164,2.18502,2.18778,2.18994,2.19155,2.19262,2.19318,2.19327,2.1929,2.19211,2.19092,2.18934,2.18739,2.18509,2.18246,2.1795,2.17622,2.17263,2.16872,2.16449,2.15995,2.15509,2.14988,2.14434,2.13843,2.13215,2.12547,2.11837,2.11083,2.10282,2.09432,2.08529,2.07571,2.06553,2.05472,2.04325,2.03107,2.01815,2.00443,1.98988,1.97445,1.95809,1.94075,1.92238,1.90293,1.88236,1.8606,1.83761,1.81334,1.78774,1.76076,1.73237,1.70251,1.67115,1.63827,1.60383,1.56783,1.53025,1.49111,1.45041,1.4082,1.36453,1.31945,1.27306,1.22547,1.17682,1.12724,1.07694,1.0261,0.974969,0.923777,0.872791,0.822286,0.772538,0.723823,0.676404,0.630523,0.586392,0.544186,0.504034,0.466016,0.430168,0.396476,0.364894,0.335341,0.30773},
{1.01163,1.01236,1.01313,1.01393,1.01478,1.01568,1.01662,1.01761,1.01866,1.01976,1.02093,1.02216,1.02345,1.02482,1.02626,1.02778,1.02938,1.03108,1.03286,1.03474,1.03673,1.03883,1.04104,1.04337,1.04584,1.04843,1.05117,1.05406,1.0571,1.06031,1.06369,1.06726,1.07102,1.07498,1.07915,1.08354,1.08816,1.09302,1.09814,1.10353,1.10919,1.11514,1.12139,1.12796,1.13485,1.14208,1.14967,1.15762,1.16595,1.17467,1.1838,1.19334,1.20331,1.21372,1.22458,1.23591,1.2477,1.25998,1.27274,1.28599,1.29975,1.31401,1.32878,1.34405,1.35983,1.37612,1.3929,1.41018,1.42794,1.44617,1.46486,1.48399,1.50354,1.5235,1.54383,1.56451,1.58551,1.6068,1.62835,1.65011,1.67204,1.69412,1.71628,1.73849,1.76069,1.78285,1.8049,1.8268,1.8485,1.86994,1.89107,1.91184,1.9322,1.95211,1.9715,1.99035,2.00861,2.02623,2.04318,2.05943,2.07494,2.0897,2.10369,2.11687,2.12926,2.14083,2.15158,2.16151,2.17064,2.17897,2.18651,2.19328,2.1993,2.2046,2.20918,2.2131,2.21636,2.219,2.22105,2.22254,2.22349,2.22393,2.22389,2.2234,2.22247,2.22113,2.2194,2.21728,2.2148,2.21197,2.20879,2.20527,2.20141,2.19721,2.19267,2.18778,2.18253,2.17691,2.17091,2.1645,2.15768,2.15042,2.14269,2.13448,2.12575,2.11647,2.10661,2.09614,2.08502,2.07321,2.06067,2.04737,2.03325,2.01828,2.00241,1.98558,1.96776,1.94889,1.92891,1.90779,1.88546,1.86189,1.83701,1.81078,1.78315,1.75409,1.72354,1.69148,1.65787,1.6227,1.58595,1.54761,1.50769,1.46621,1.42322,1.37875,1.33288,1.28571,1.23734,1.18791,1.13759,1.08655,1.03501,0.983198,0.931361,0.879765,0.828689,0.778411,0.729207,0.68134,0.635053,0.590552,0.548011,0.507555,0.469259,0.433155,0.399225,0.367419,0.337656,0.309845},
{1.01145,1.01217,1.01292,1.01372,1.01456,1.01544,1.01637,1.01735,1.01838,1.01947,1.02062,1.02183,1.02311,1.02445,1.02588,1.02737,1.02896,1.03063,1.03239,1.03425,1.03621,1.03827,1.04046,1.04276,1.04519,1.04775,1.05046,1.05331,1.05631,1.05948,1.06283,1.06635,1.07007,1.07398,1.0781,1.08245,1.08702,1.09184,1.09691,1.10224,1.10785,1.11375,1.11995,1.12647,1.13331,1.1405,1.14804,1.15594,1.16423,1.17291,1.182,1.19151,1.20145,1.21184,1.22268,1.234,1.24579,1.25807,1.27085,1.28413,1.29793,1.31224,1.32707,1.34243,1.3583,1.3747,1.39161,1.40904,1.42697,1.44539,1.46429,1.48366,1.50347,1.52371,1.54436,1.56537,1.58674,1.60842,1.63038,1.65259,1.675,1.69758,1.72027,1.74304,1.76583,1.78859,1.81128,1.83384,1.85622,1.87836,1.90022,1.92173,1.94286,1.96353,1.98372,2.00337,2.02243,2.04086,2.05863,2.07569,2.09202,2.1076,2.12238,2.13637,2.14954,2.16188,2.17339,2.18407,2.19392,2.20295,2.21117,2.21859,2.22524,2.23113,2.2363,2.24075,2.24453,2.24766,2.25016,2.25207,2.25341,2.25422,2.25451,2.25432,2.25366,2.25256,2.25103,2.2491,2.24677,2.24406,2.24097,2.23752,2.2337,2.22951,2.22495,2.22001,2.2147,2.20898,2.20286,2.19631,2.18932,2.18187,2.17392,2.16547,2.15647,2.1469,2.13673,2.12592,2.11444,2.10225,2.08931,2.07557,2.061,2.04555,2.02917,2.01182,1.99344,1.97399,1.95342,1.93167,1.9087,1.88445,1.85887,1.83192,1.80356,1.77373,1.7424,1.70953,1.6751,1.63909,1.60148,1.56228,1.52149,1.47913,1.43525,1.3899,1.34316,1.29512,1.2459,1.19565,1.14452,1.09272,1.04045,0.987958,0.93549,0.883316,0.831719,0.78098,0.731374,0.683162,0.636585,0.591845,0.549107,0.50849,0.470063,0.433848,0.399821,0.367928,0.338085,0.310199},
{1.01126,1.01197,1.01271,1.0135,1.01432,1.01519,1.01611,1.01708,1.01809,1.01917,1.0203,1.02149,1.02275,1.02408,1.02548,1.02696,1.02852,1.03016,1.0319,1.03373,1.03566,1.0377,1.03985,1.04212,1.04452,1.04705,1.04971,1.05253,1.05549,1.05862,1.06192,1.0654,1.06907,1.07294,1.07701,1.0813,1.08583,1.09059,1.0956,1.10088,1.10644,1.11228,1.11843,1.12489,1.13167,1.1388,1.14629,1.15414,1.16238,1.17101,1.18005,1.18952,1.19942,1.20978,1.22059,1.23189,1.24367,1.25594,1.26872,1.28202,1.29584,1.31019,1.32507,1.34049,1.35645,1.37295,1.38998,1.40754,1.42562,1.44422,1.46332,1.48291,1.50297,1.52348,1.54442,1.56576,1.58748,1.60954,1.63191,1.65455,1.67743,1.7005,1.72372,1.74704,1.77041,1.79378,1.8171,1.84033,1.86339,1.88624,1.90883,1.93109,1.95298,1.97445,1.99543,2.01589,2.03577,2.05503,2.07364,2.09154,2.10871,2.12512,2.14074,2.15555,2.16953,2.18267,2.19497,2.20642,2.21702,2.22679,2.23571,2.24383,2.25114,2.25766,2.26343,2.26847,2.2728,2.27645,2.27944,2.28181,2.28358,2.28479,2.28545,2.28559,2.28524,2.28442,2.28314,2.28142,2.27929,2.27674,2.27379,2.27044,2.2667,2.26257,2.25804,2.25312,2.24778,2.24203,2.23584,2.22921,2.22211,2.21453,2.20644,2.19782,2.18863,2.17886,2.16846,2.1574,2.14565,2.13318,2.11993,2.10588,2.09096,2.07516,2.0584,2.04065,2.02187,2.00199,1.98096,1.95875,1.93529,1.91054,1.88445,1.85697,1.82805,1.79765,1.76573,1.73227,1.69722,1.66058,1.62232,1.58246,1.54099,1.49795,1.45338,1.40733,1.35989,1.31114,1.26121,1.21025,1.15842,1.10592,1.05296,0.999789,0.946659,0.893843,0.841623,0.790283,0.7401,0.691337,0.644234,0.598992,0.555777,0.514707,0.475849,0.439226,0.404811,0.372549,0.342355,0.314138},
{1.01107,1.01177,1.0125,1.01328,1.01409,1.01495,1.01585,1.0168,1.0178,1.01886,1.01997,1.02115,1.02239,1.0237,1.02508,1.02653,1.02807,1.02969,1.0314,1.0332,1.0351,1.03711,1.03923,1.04147,1.04383,1.04632,1.04895,1.05172,1.05465,1.05773,1.06099,1.06442,1.06804,1.07185,1.07588,1.08012,1.08458,1.08929,1.09425,1.09947,1.10496,1.11074,1.11683,1.12322,1.12995,1.13702,1.14444,1.15223,1.16041,1.16898,1.17797,1.18738,1.19724,1.20755,1.21833,1.22959,1.24134,1.2536,1.26637,1.27967,1.2935,1.30787,1.32279,1.33825,1.35427,1.37085,1.38798,1.40565,1.42387,1.44263,1.4619,1.48169,1.50198,1.52274,1.54396,1.5656,1.58765,1.61007,1.63283,1.6559,1.67922,1.70277,1.72649,1.75034,1.77428,1.79824,1.82219,1.84605,1.86979,1.89334,1.91664,1.93965,1.9623,1.98454,2.00632,2.02758,2.04828,2.06837,2.0878,2.10654,2.12455,2.14179,2.15824,2.17388,2.18868,2.20263,2.21572,2.22794,2.2393,2.24979,2.25944,2.26824,2.27621,2.28338,2.28975,2.29537,2.30025,2.30441,2.30789,2.31071,2.31291,2.3145,2.31552,2.31599,2.31593,2.31537,2.31432,2.3128,2.31083,2.30842,2.30558,2.3023,2.29861,2.2945,2.28996,2.285,2.27959,2.27375,2.26745,2.26067,2.2534,2.24562,2.23731,2.22844,2.21898,2.20891,2.19819,2.18678,2.17467,2.16179,2.14813,2.13362,2.11824,2.10194,2.08466,2.06637,2.04701,2.02654,2.00489,1.98203,1.9579,1.93246,1.90564,1.87741,1.84773,1.81654,1.78381,1.74951,1.71361,1.6761,1.63696,1.5962,1.55383,1.50987,1.46439,1.41743,1.36908,1.31944,1.26864,1.21684,1.1642,1.11092,1.05724,1.00339,0.94964,0.896264,0.843547,0.791776,0.741226,0.692157,0.644807,0.599371,0.556007,0.514825,0.475882,0.439192,0.404725,0.372418,0.342184,0.31393}
};
}

12
tests/test.py
View File

@ -75,7 +75,7 @@ class TestStructures(unittest.TestCase):
self.assertAlmostEqual(m2.molar_mass(),18,1)
self.assertAlmostEqual(m2.density(),1.0,1)
m3 = catima.get_material(3001)
m3 = catima.get_material(301)
self.assertEqual(m3.ncomponents(),0)
self.assertAlmostEqual(m3.molar_mass(),0,1)
self.assertAlmostEqual(m3.density(),0.0,1)
@ -254,15 +254,5 @@ class TestStructures(unittest.TestCase):
#self.assertAlmostEqual(catima.da2de(p,water,et[100]),data[2][100],6)
#self.assertAlmostEqual(catima.da2de(p,water,et[400]),data[2][400],6)
def test_config(self):
c1 = catima.Config()
self.assertEqual(c1.z_effective(),catima.z_eff_type.pierce_blann);
d = {}
d["z_effective"] = catima.z_eff_type.atima14;
c1.set(d);
self.assertEqual(c1.z_effective(),catima.z_eff_type.atima14);
if __name__ == "__main__":
unittest.main()

71
tests/test_calculations.cpp
View File

@ -1,21 +1,11 @@
#include "lest.hpp"
#include "testutils.h"
#include <math.h>
using namespace std;
using catima::approx;
#include "catima/catima.h"
#include "catima/calculations.h"
bool rcompare(double a, double b,double eps){
if(fabs((a-b)/fabs(b))<eps){
return true;
}
else{
std::cout<<"\033[1;31m"<<a<<" == "<<b<<"\033[0m"<<std::endl;
return false;
}
}
using namespace std;
using catima::approx;
const lest::test specification[] =
{
@ -93,53 +83,57 @@ const lest::test specification[] =
// He projectile case
p.T = 1;
EXPECT( rcompare( catima::dedx(p,carbon), 922.06, 0.0001) );
EXPECT( catima::dedx(p,carbon) == approx(922.06).R(0.0001) );
p.T = 3;
EXPECT( rcompare( catima::dedx(p,carbon), 433.09, 0.0001) );
EXPECT( catima::dedx(p,carbon) == approx(433.09).R(0.0001) );
// C projectile case
p.A = 12;
p.Z = 6;
p.T = 1;
EXPECT( rcompare( catima::dedx(p,carbon), 5792.52, 0.0001) );
EXPECT( catima::dedx(p,carbon) == approx( 5792.52).R(0.0001) );
p.T = 9.9;
EXPECT( rcompare( catima::dedx(p,carbon), 1485.36, 0.0001) );
EXPECT( catima::dedx(p,carbon) == approx(1485.36).R(0.0001) );
},
CASE("LS check: deltaL values"){
catima::Projectile p{238,92,92,1};
catima::Target carbon{12.0107,6};
p.T = 93.1494;
EXPECT( rcompare( catima::bethek_lindhard(p), -0.5688, 0.01) );
EXPECT(catima::bethek_lindhard(p)== approx(-0.5688,0.0001));
p.T = 380.9932;
EXPECT( rcompare( catima::bethek_lindhard(p), 0.549199, 0.02) );
EXPECT(catima::bethek_lindhard(p)== approx(0.549199,0.0001));
p.T = 996.9855;
EXPECT( rcompare( catima::bethek_lindhard(p), 1.0732, 0.03) );
p.T = 995.368987;
EXPECT(catima::bethek_lindhard(p)== approx(1.106649).R(0.001) );
p.T = 2794.4822;
EXPECT( rcompare( catima::bethek_lindhard(p), 1.358964, 0.02) );
p.T = 2640.032566;
EXPECT(catima::bethek_lindhard(p)== approx(1.35314).R(0.001) );
p.T = 6091.392448;
EXPECT(catima::bethek_lindhard(p)== approx(1.365643).R(0.001) );
p.T = 37277.695445;
EXPECT(catima::bethek_lindhard(p)== approx(0.689662).R(0.001) );
},
CASE("LS check: straggling values"){
catima::Projectile p{238,92,92,1};
catima::Target carbon{12.0107,6};
auto f = [&](){return catima::bethek_lindhard_X(p);};
p.T = 93.1494;
EXPECT( rcompare( f(), 1.56898, 0.01) );
EXPECT( f() == approx(1.56898).R(0.01) );
p.T = 380.9932;
EXPECT( rcompare( f(), 1.836008, 0.01) );
EXPECT( f() == approx(1.836008).R(0.01) );
p.T = 996.9855;
EXPECT( rcompare( f(), 1.836528, 0.03) );
EXPECT( f() == approx(1.836528).R(0.01) );
p.T = 2794.4822;
EXPECT( rcompare( f(), 1.768018, 0.02) );
EXPECT( f()== approx(1.768018).R(0.01) );
},
CASE("dEdx for compounds"){
catima::Projectile p{1,1,1,1000};
@ -310,17 +304,17 @@ const lest::test specification[] =
mat.add(graphite);
auto res = catima::calculate(p(1000),mat);
EXPECT(rcompare(res.total_result.Eout,926.3,0.01));
EXPECT(rcompare(res.total_result.sigma_a,0.00269,0.1));
EXPECT(rcompare(res.total_result.tof,0.402,0.01));
EXPECT(rcompare(res.total_result.Eloss,884.218,0.01));
EXPECT(res.total_result.Eout == approx(926.3,0.1));
EXPECT(res.total_result.sigma_a == approx(0.00269).R(0.05));
EXPECT(res.total_result.tof == approx(0.402).R(0.001));
EXPECT(res.total_result.Eloss == approx(884.2,1.0));
//EXPECT(rcompare(res.total_result.sigma_E,0.7067,0.2));
EXPECT(rcompare(res.results[0].Eout,932.24,0.01));
EXPECT(rcompare(res.results[0].sigma_a,0.00258,0.1));
EXPECT(rcompare(res.results[0].range,107.163,0.01));
EXPECT(rcompare(res.results[1].Eout,926.3,0.01));
EXPECT(rcompare(res.results[1].sigma_a,0.000774,0.1));
EXPECT(rcompare(res.results[1].range,110.715,0.01));
EXPECT(res.results[0].Eout == approx(932.24,0.1));
EXPECT(res.results[0].sigma_a == approx(0.00258).R(0.05));
EXPECT(res.results[0].range == approx(107.163,0.1));
EXPECT(res.results[1].Eout == approx(926.3,0.1));
EXPECT(res.results[1].sigma_a == approx(0.000774).R(0.05));
EXPECT(res.results[1].range == approx(110.8,0.1));
auto res0 = catima::calculate(p(1000),water);
EXPECT(res0.Eout == res.results[0].Eout);
@ -350,7 +344,6 @@ const lest::test specification[] =
t.Z = 13;
Config c;
c.z_effective = z_eff_type::pierce_blann;
EXPECT(z_eff_Pierce_Blann(92,beta_from_T(5000.)) == approx(91.8).epsilon(0.2));
EXPECT(z_eff_Pierce_Blann(92,beta_from_T(5000.)) == z_effective(p_u(5000.),t,c));

4
utils/generator.cpp
View File

@ -63,8 +63,8 @@ int main(){
sv2<<"{";
sx1<<"{";
sx2<<"{";
double beta2;
for(int z=1;z<ATOMIC_WEIGHT_MAXZ-1;z++){
cout<<z<<"/"<<ATOMIC_WEIGHT_MAXZ-2<<endl;
p.Z = z;
if(z!=1)sv1<<",";
if(z!=1)sv2<<",";
@ -77,8 +77,6 @@ int main(){
for(int i=0;i<num_LS_datapoints;i++){
p.T = ls_energy_table(i);
p.A = element_atomic_weight((int)p.Z);
beta2 = catima::beta_from_T(p.T);
beta2 = beta2*beta2;
r = bethek_lindhard(p);
x1 = bethek_lindhard_X(p);