diff --git a/.ci-environments/environment.yml b/.ci-environments/environment.yml index 2db0b6dc..b06b60fb 100644 --- a/.ci-environments/environment.yml +++ b/.ci-environments/environment.yml @@ -6,7 +6,6 @@ dependencies: - python - lapack=3.6.1 - wget - - gsl - hdf5 - numpy=1.* - scipy diff --git a/.ci-environments/macos-arm-environment.yml b/.ci-environments/macos-arm-environment.yml index 76c9175b..99797a59 100644 --- a/.ci-environments/macos-arm-environment.yml +++ b/.ci-environments/macos-arm-environment.yml @@ -8,7 +8,6 @@ dependencies: - lapack - liblapacke - wget - - gsl - hdf5 - numpy - scipy diff --git a/README.md b/README.md index 3061727d..d012e347 100644 --- a/README.md +++ b/README.md @@ -22,7 +22,7 @@ See [examples notebook](https://github.com/BlackHolePerturbationToolkit/FastEMRI ### Prerequisites -To install this software for CPU usage, you need [gsl >2.0](https://www.gnu.org/software/gsl/) , [lapack (3.6.1)](https://www.netlib.org/lapack/lug/node14.html), Python >3.4, wget, and NumPy. If you install lapack with conda, the new version (3.9) seems to not install the correct header files. Therefore, the lapack version must be 3.6.1. To run the examples, you will also need jupyter and matplotlib. We generally recommend installing everything, including gcc and g++ compilers, in the conda environment as is shown in the examples here. This generally helps avoid compilation and linking issues. If you use your own chosen compiler, you will need to make sure all necessary information is passed to the setup command (see below). You also may need to add information to the `setup.py` file. +To install this software for CPU usage, you need [lapack (3.6.1)](https://www.netlib.org/lapack/lug/node14.html), Python >3.4, wget, and NumPy. If you install lapack with conda, the new version (3.9) seems to not install the correct header files. Therefore, the lapack version must be 3.6.1. To run the examples, you will also need jupyter and matplotlib. We generally recommend installing everything, including gcc and g++ compilers, in the conda environment as is shown in the examples here. This generally helps avoid compilation and linking issues. If you use your own chosen compiler, you will need to make sure all necessary information is passed to the setup command (see below). You also may need to add information to the `setup.py` file. To install this software for use with NVIDIA GPUs (compute capability >2.0), you need the [CUDA toolkit](https://docs.nvidia.com/cuda/cuda-installation-guide-linux/index.html) and [CuPy](https://cupy.chainer.org/). The CUDA toolkit must have cuda version >8.0. Be sure to properly install CuPy within the correct CUDA toolkit version. Make sure the nvcc binary is on `$PATH` or set it as the `CUDA_HOME` environment variable. @@ -80,7 +80,7 @@ Please contact the developers if the installation does not work. 1) Create a virtual environment. ``` -conda create -n few_env -c conda-forge gcc_linux-64 gxx_linux-64 wget gsl lapack=3.6.1 hdf5 numpy Cython scipy tqdm jupyter ipython h5py requests rich matplotlib numba python=3.7 +conda create -n few_env -c conda-forge gcc_linux-64 gxx_linux-64 wget lapack=3.6.1 hdf5 numpy Cython scipy tqdm jupyter ipython h5py requests rich matplotlib numba python=3.7 conda activate few_env ``` @@ -114,13 +114,12 @@ python setup.py install ``` -When installing lapack and gsl, the setup file will default to assuming lib and include for both are in installed within the conda environment. To provide other lib and include directories you can provide command line options when installing. You can also remove usage of OpenMP. +When installing lapack, the setup file will default to assuming lib and include for both are in installed within the conda environment. To provide other lib and include directories you can provide command line options when installing. You can also remove usage of OpenMP. ``` python setup.py --help usage: setup.py [-h] [--lapack_lib LAPACK_LIB] [--lapack_include LAPACK_INCLUDE] [--lapack LAPACK] - [--gsl_lib GSL_LIB] [--gsl_include GSL_INCLUDE] [--gsl GSL] [--ccbin CCBIN] optional arguments: @@ -133,13 +132,6 @@ optional arguments: includ, must also add lapack lib. --lapack LAPACK Directory of both lapack lib and include. '/include' and '/lib' will be added to the end of this string. - --gsl_lib GSL_LIB Directory of the gsl lib. If you add gsl lib, must - also add gsl include. - --gsl_include GSL_INCLUDE - Directory of the gsl include. If you add gsl include, - must also add gsl lib. - --gsl GSL Directory of both gsl lib and include. '/include' and - '/lib' will be added to the end of this string. --ccbin CCBIN path/to/compiler to link with nvcc when installing with CUDA. ``` diff --git a/include/Inspiral.hh b/include/Inspiral.hh deleted file mode 100644 index 6965c5e3..00000000 --- a/include/Inspiral.hh +++ /dev/null @@ -1,136 +0,0 @@ -#ifndef __INSPIRAL_H__ -#define __INSPIRAL_H__ - -#include -#include -#include -#include -#include -#include "ode.hh" - -#include "Interpolant.h" - -#include -#include -#include -#include -#include - -using namespace std; -using namespace chrono; - -// Used to pass the interpolants to the ODE solver -class ParamsHolder -{ -public: - double epsilon; - double a = 0.0; - double q; - bool integrate_backwards; - string func_name; - std::vector odes; - double *additional_args; - int num_add_args; - int nparams; - int num_odes = 0; - int currently_running_ode_index = 0; - - ParamsHolder(int nparams_, int num_add_args_) - { - num_add_args = num_add_args_; - nparams = nparams_; - additional_args = new double[num_add_args_]; - }; - void add_ode(string func_name, string few_dir) - { - ODECarrier carrier(func_name, few_dir); - odes.push_back(carrier); - num_odes += 1; - } - ~ParamsHolder() - { - delete[] additional_args; - }; -}; - -class InspiralHolder -{ -public: - int length; - vector> output_arrs; - vector t_arr; - int nparams; - - vector y0; - // vector amp_norm_out_arr; - - double t0, M, mu, a; // , init_flux; - - InspiralHolder(double t0_, vector y0_, int nparams_) - { - t0 = t0_; - y0 = y0_; - nparams = nparams_; - length = 0; - - t_arr.push_back(t0); - - for (int i = 0; i < nparams; i += 1) - { - vector tmp = {y0[i]}; - output_arrs.push_back(tmp); - } - // amp_norm_out_arr.push_back(init_flux); - }; - - void add_point(double t, vector y0) - { - t_arr.push_back(t); - for (int i = 0; i < nparams; i += 1) - { - output_arrs[i].push_back(y0[i]); - } - length += 1; - } - - // ~InspiralHolder(); -}; - -class InspiralCarrier -{ -public: - ParamsHolder *params_holder; - gsl_odeiv2_system sys; - gsl_odeiv2_step *step; - gsl_odeiv2_evolve *evolve; - gsl_odeiv2_control *control; - int nparams; - double err = 1e-11;//1e-10; - bool USE_DENSE_STEPPING = false; - bool USE_RK8 = true; - int num_add_args; - string func_name; - - InspiralCarrier(int nparams_, int num_add_args_); - void dealloc(); - void add_parameters_to_holder(double M, double mu, double a, bool integrate_backwards, double *additional_args); - void set_integrator_kwargs(double err_set, bool DENSE_STEP_SET, bool RK8_SET); - void initialize_integrator(); - void destroy_integrator_information(); - void reset_solver(); - int take_step(double *t, double *h, double *y, const double tmax); - void get_derivatives(double *ydot_, double *y, int nparams_); - int get_currently_running_ode_index(); - void update_currently_running_ode_index(int currently_running_ode_index); - int get_number_of_odes(); - void add_ode(string func_name, string few_dir); - void get_convert_Y(bool *convert_Y, int num_odes); - void get_backgrounds(int *backgrounds, int num_odes); - void get_equatorial(bool *equatorial, int num_odes); - void get_circular(bool *circular, int num_odes); - void get_integrate_constants_of_motion(bool *integrate_constants_of_motion, int num_odes); - void get_integrate_phases(bool *integrate_phases, int num_odes); - ~InspiralCarrier(); -}; - -#endif //__INSPIRAL_H__ diff --git a/include/KerrEquatorial.h b/include/KerrEquatorial.h deleted file mode 100644 index 84e6a6a4..00000000 --- a/include/KerrEquatorial.h +++ /dev/null @@ -1,26 +0,0 @@ -#ifndef DEDT_CHEB -#define DEDT_CHEB - -/* - Header of the Interpolated fluxes -*/ - -//! \file KerrEquatorial.h - -// Define macro - -// Define type - -// Declare prototype -double edot_Cheby_full(const double a, const double e, const double r); -double pdot_Cheby_full(const double a, const double e, const double r); -double Ldot_SC(const double a, const double e, const double r, const double p); -double Edot_SC(const double a, const double e, const double r, const double p); -double Edot_GR(const double a, const double e, const double r, const double p); -double Ldot_GR(const double a, const double e, const double r, const double p); -void Jac(const double a, const double p, const double ecc, const double xi, - const double E, const double Lz, const double Q, - const double Edot, const double Lzdot, const double Qdot, - double & pdot, double & eccdot, double & xidot); -void pdot_edot_from_fluxes(double & pdot, double & eccdot, const double Edot, const double Ldot, const double a, const double e, const double p); -#endif // DEDT_CHEB \ No newline at end of file diff --git a/include/Utility.hh b/include/Utility.hh deleted file mode 100644 index a7fb8114..00000000 --- a/include/Utility.hh +++ /dev/null @@ -1,49 +0,0 @@ -#ifndef __FUND_FREQS__ -#define __FUND_FREQS__ - -int sanity_check(double a, double p, double e, double Y); - -void KerrGeoMinoFrequencies(double* CapitalGamma_, double* CapitalUpsilonPhi_, double* CapitalUpsilonTheta_, double* CapitalUpsilonr_, - double a, double p, double e, double x); - -void KerrGeoCoordinateFrequencies(double* OmegaPhi_, double* OmegaTheta_, double* OmegaR_, - double a, double p, double e, double x); - -void KerrGeoEquatorialMinoFrequencies(double* CapitalGamma_, double* CapitalUpsilonPhi_, double* CapitalUpsilonTheta_, double* CapitalUpsilonr_, - double a, double p, double e, double x); - -void KerrGeoEquatorialCoordinateFrequencies(double* OmegaPhi_, double* OmegaTheta_, double* OmegaR_, - double a, double p, double e, double x); - -void KerrGeoCoordinateFrequenciesVectorized(double* OmegaPhi_, double* OmegaTheta_, double* OmegaR_, - double* a, double* p, double* e, double* x, int length); - -void KerrEqSpinFrequenciesCorrVectorized(double* OmegaPhi_, double* OmegaTheta_, double* OmegaR_, - double* a, double* p, double* e, double* x, int length); - -void KerrEqSpinFrequenciesCorrection(double* deltaOmegaR_, double* deltaOmegaPhi_, - double a, double p, double e, double x); -void KerrScott(double* OmegaPhi_, double* OmegaTheta_, double* OmegaR_,double a, double p, double e, double xI); -void SchwarzschildGeoCoordinateFrequencies(double* OmegaPhi, double* OmegaR, double p, double e); - -double get_separatrix(double a, double e, double x); -void get_separatrix_vector(double* separatrix, double* a, double* e, double* x, int length); - -void KerrGeoConstantsOfMotionVectorized(double* E_out, double* L_out, double* Q_out, double* a, double* p, double* e, double* x, int n); -void KerrGeoConstantsOfMotion(double* E_out, double* L_out, double* Q_out, double a, double p, double e, double x); - -void ELQ_to_pexVectorised(double* p, double* e, double* x, double* a, double* E, double* Lz, double* Q, int length); -void ELQ_to_pex(double* p, double* e, double* x, double a, double E, double Lz, double Q); - -double Y_to_xI(double a, double p, double e, double Y); -void Y_to_xI_vector(double* x, double* a, double* p, double* e, double* Y, int length); - -void set_threads(int num_threads); -int get_threads(); - -double KerrGeoEnergy(double a, double p, double e, double x); -double KerrGeoAngularMomentum(double a, double p, double e, double x, double En); - -double separatrix_KerrEquatorial(const double a, const double e); - -#endif // __FUND_FREQS__ \ No newline at end of file diff --git a/include/dIdt8H_5PNe10.h b/include/dIdt8H_5PNe10.h deleted file mode 100644 index 092b1198..00000000 --- a/include/dIdt8H_5PNe10.h +++ /dev/null @@ -1,26 +0,0 @@ -#ifndef DIDT8H_5PNE10_H_ -#define DIDT8H_5PNE10_H_ - -/* - Header of the PostNewtonian fluxes (5PN, e^10; arbitrary inclinations) - - 11th Feb. 2020; Sis - -*/ - -//! \file dIdt8H_5PNe10.h - -// Define macro - -// Define type - -// Declare prototype -double dEdt8H_5PNe10 (const double q, const double p, const double e, const double Y, const int Nv, const int ne); -double dLdt8H_5PNe10 (const double q, const double p, const double e, const double Y, const int Nv, const int ne); -double dCdt8H_5PNe10 (const double q, const double p, const double e, const double Y, const int Nv, const int ne); - -double dpdt8H_5PNe10 (const double q, const double p, const double e, const double Y, const int Nv, const int ne); -double dedt8H_5PNe10 (const double q, const double p, const double e, const double Y, const int Nv, const int ne); -double dYdt8H_5PNe10 (const double q, const double p, const double e, const double Y, const int Nv, const int ne); - -#endif // DIDT8H_5PNE10_H_ diff --git a/include/elliptic.hh b/include/elliptic.hh deleted file mode 100644 index 49586b1a..00000000 --- a/include/elliptic.hh +++ /dev/null @@ -1,42 +0,0 @@ -#ifndef __ELLIPTIC_H__ -#define __ELLIPTIC_H__ - -#define MACHEP 1.38777878078144567553E-17 -#define MAXNUM 1.701411834604692317316873e38 - - -/* -* Complete Elliptic Integral of the first kind -* -*/ -template -__device__ _Tp -EllipticK(const _Tp m); - -/* -* Incomplete Elliptic Integral of the first kind -* -*/ -template -__device__ _Tp -EllipticF(const _Tp phi, const _Tp m); - -/* -* Incomplete/Complete Elliptic Integral of the second kind -* -*/ -template -__device__ _Tp -EllipticE(const _Tp phi, const _Tp m); - -/* -* Incomplete/Complete Elliptic Integral of the third kind -* -*/ -template -__device__ _Tp -EllipticPi(const _Tp n, const _Tp phi, const _Tp m); - -void ellpe_test(fod *input_mat, int num_p_e); - -#endif // __ELLIPTIC_H__ diff --git a/include/ode_base_example.hh b/include/ode_base_example.hh deleted file mode 100644 index d542316f..00000000 --- a/include/ode_base_example.hh +++ /dev/null @@ -1,70 +0,0 @@ -#include "Interpolant.h" -#include "spline.hpp" - -#define KERR 1 -#define SCHWARZSCHILD 2 - -// Used to pass the interpolants to the ODE solver -struct interp_params -{ - double epsilon; - Interpolant *Edot; - Interpolant *Ldot; -}; - -class SchwarzEccFlux -{ -public: - interp_params *interps; - Interpolant *amp_vec_norm_interp; - double test; - bool convert_Y = false; - bool equatorial = true; - int background = SCHWARZSCHILD; - bool circular = false; - bool integrate_constants_of_motion = false; - - SchwarzEccFlux(std::string few_dir); - - void deriv_func(double ydot[], const double y[], double epsilon, double a, bool integrate_backwards, double *additional_args); - ~SchwarzEccFlux(); -}; - -class KerrEccentricEquatorial -{ -public: - TensorInterpolant *pdot_interp; - TensorInterpolant *edot_interp; - TensorInterpolant *Edot_interp; - TensorInterpolant *Ldot_interp; - TricubicSpline *tric_p_interp; - TricubicSpline *tric_e_interp; - BicubicSpline *bic_psep_interp; - KerrEccentricEquatorial(std::string few_dir); - bool convert_Y = false; - bool equatorial = true; - int background = KERR; - bool circular = false; - bool integrate_constants_of_motion = false; - - void deriv_func(double ydot[], const double y[], double epsilon, double a, bool integrate_backwards, double *additional_args); - ~KerrEccentricEquatorial(); -}; - -class KerrEccentricEquatorial_ELQ -{ -public: - TricubicSpline *Edot_interp; - TricubicSpline *Ldot_interp; - BicubicSpline *bic_psep_interp; - - KerrEccentricEquatorial_ELQ(std::string few_dir); - bool convert_Y = false; - bool equatorial = true; - int background = KERR; - bool circular = false; - bool integrate_constants_of_motion = true; - - void deriv_func(double ydot[], const double y[], double epsilon, double a, bool integrate_backwards, double *additional_args); - ~KerrEccentricEquatorial_ELQ(); -}; diff --git a/install.sh b/install.sh index 4d8091a5..f9f72955 100644 --- a/install.sh +++ b/install.sh @@ -92,14 +92,14 @@ if [[ "$OSTYPE" == "darwin"* ]]; then machine=$(uname -m) if [[ "$machine" == "arm64" ]]; then echo "This is an M1 Mac." - conda create -n "$env_name" -c conda-forge -y wget gsl hdf5 numpy Cython scipy tqdm jupyter ipython h5py requests matplotlib python=3.12 openblas lapack liblapacke rich numba + conda create -n "$env_name" -c conda-forge -y wget hdf5 numpy Cython scipy tqdm jupyter ipython h5py requests matplotlib python=3.12 openblas lapack liblapacke rich numba else echo "This is not an M1 Mac." - conda create -n "$env_name" -c conda-forge -y clangxx_osx-64 clang_osx-64 wget gsl lapack=3.6.1 hdf5 numpy Cython scipy tqdm jupyter ipython h5py requests matplotlib rich numba python=3.12 + conda create -n "$env_name" -c conda-forge -y clangxx_osx-64 clang_osx-64 wget lapack=3.6.1 hdf5 numpy Cython scipy tqdm jupyter ipython h5py requests matplotlib rich numba python=3.12 fi elif [[ "$OSTYPE" == "linux-gnu"* ]]; then echo "This system is Unix/Linux." - conda create -n "$env_name" -c conda-forge -y gcc_linux-64 gxx_linux-64 wget gsl lapack=3.6.1 hdf5 rich numba numpy Cython scipy tqdm jupyter ipython h5py requests matplotlib python=3.12 + conda create -n "$env_name" -c conda-forge -y gcc_linux-64 gxx_linux-64 wget lapack=3.6.1 hdf5 rich numba numpy Cython scipy tqdm jupyter ipython h5py requests matplotlib python=3.12 else echo "Unsupported operating system." fi diff --git a/setup.py b/setup.py index e62b552b..6a53c0e2 100644 --- a/setup.py +++ b/setup.py @@ -136,21 +136,6 @@ def build_extensions(self): help="Directory of both lapack lib and include. '/include' and '/lib' will be added to the end of this string.", ) -parser.add_argument( - "--gsl_lib", - help="Directory of the gsl lib. If you add gsl lib, must also add gsl include.", -) - -parser.add_argument( - "--gsl_include", - help="Directory of the gsl include. If you add gsl include, must also add gsl lib.", -) - -parser.add_argument( - "--gsl", - help="Directory of both gsl lib and include. '/include' and '/lib' will be added to the end of this string.", -) - parser.add_argument( "--ccbin", help="path/to/compiler to link with nvcc when installing with CUDA." ) @@ -158,9 +143,6 @@ def build_extensions(self): args, unknown = parser.parse_known_args() for key1, key2 in [ - ["--gsl_include", args.gsl_include], - ["--gsl_lib", args.gsl_lib], - ["--gsl", args.gsl], ["--lapack_include", args.lapack_include], ["--lapack_lib", args.lapack_lib], ["--lapack", args.lapack], @@ -198,27 +180,11 @@ def build_extensions(self): else: add_lapack = False -if args.gsl is not None: - add_gsl = True - gsl_include = [args.gsl + "/include"] - gsl_lib = [args.gsl + "/lib"] - -elif args.gsl_lib is not None or args.gsl_include is not None: - if None in [args.gsl_lib, args.gsl_include]: - raise ValueError("If you add the gsl lib or include, you must add both.") - - add_gsl = True - gsl_include = [args.gsl_include] - gsl_lib = [args.gsl_lib] - -else: - add_gsl = False - # if installing for CUDA, build Cython extensions for gpu modules if run_cuda_install: gpu_extension = dict( - libraries=["gsl", "gslcblas", "cudart", "cublas", "cusparse"], + libraries=["cudart", "cublas", "cusparse"], library_dirs=[CUDA["lib64"]], runtime_library_dirs=[CUDA["lib64"]], language="c++", @@ -293,7 +259,7 @@ def build_extensions(self): # build all cpu modules cpu_extension = dict( - libraries=["gsl", "gslcblas", "lapack", "lapacke", "hdf5", "hdf5_hl"], + libraries=["lapack", "lapacke", "hdf5", "hdf5_hl"], language="c++", runtime_library_dirs=[], extra_compile_args={"gcc": ["-std=c++11"]}, # '-g' @@ -309,14 +275,6 @@ def build_extensions(self): ) cpu_extension["include_dirs"] += lapack_include -if add_gsl: - cpu_extension["library_dirs"] = ( - gsl_lib - if cpu_extension["library_dirs"] is None - else cpu_extension["library_dirs"] + gsl_lib - ) - cpu_extension["include_dirs"] += gsl_include - matmul_cpu_ext = Extension( "few.cutils.pymatmul_cpu", sources=["src/matmul.cpp", "src/pymatmul_cpu.pyx"], diff --git a/src/AmpInterp2D.cu b/src/AmpInterp2D.cu index dc07b6fe..fd4a77e6 100644 --- a/src/AmpInterp2D.cu +++ b/src/AmpInterp2D.cu @@ -116,6 +116,17 @@ CUDA_KERNEL void interp2D(double* z, const double* tx, int nx, const double* ty, int ny, double* c, int kx, int ky, const double* x, int mx, const double* y, int my, int num_indiv_c, int len_indiv_c) + + // x, y input coordinates + // mx, my number of input coordinates + // kx, ky = 3 + // c coefficients + // tx, ty positions of xknots, yknots + // nx, ny number of xknots, yknots + // z output array + // num_indiv_c is number of modes + // len_indiv_c is number of coefficients per xy grid + { #ifdef __CUDACC__ extern __shared__ unsigned char shared_mem[]; diff --git a/src/KerrEquatorial.cc b/src/KerrEquatorial.cc deleted file mode 100644 index 6d85dded..00000000 --- a/src/KerrEquatorial.cc +++ /dev/null @@ -1,1613 +0,0 @@ -// C headers -#include -#include -#include -#include - -// GSL headers - -// BHPC headers -#include "KerrEquatorial.h" - -/*-*-*-*-*-*-*-*-*-*-*-* External functions (can be refered by other source files) *-*-*-*-*-*-*-*-*-*-*-*/ -double edot_Cheby_full(const double a, const double e, const double r){ - double result; -double Compile_$3 = (a * a); -double Compile_$8 = pow(a,3); -double Compile_$14 = pow(a,4); -double Compile_$20 = pow(a,5); -double Compile_$26 = pow(a,6); -double Compile_$33 = pow(a,7); -double Compile_$40 = pow(a,8); -double Compile_$48 = pow(a,9); -double Compile_$56 = pow(a,10); -double Compile_$1 = 0.e-24 + a; -double Compile_$78 = -0.25 + e; -double Compile_$79 = pow(Compile_$78,2); -double Compile_$80 = 32.*Compile_$79; -double Compile_$81 = -1. + Compile_$80; -double Compile_$4 = 2.04060810121416182022243*Compile_$3; -double Compile_$5 = -1. + Compile_$4; -double Compile_$7 = -3.0303030303030303030303*a; -double Compile_$9 = 4.12244060851345822267157*Compile_$8; -double Compile_$10 = Compile_$7 + Compile_$9; -double Compile_$12 = -8.16243240485664728088971*Compile_$3; -double Compile_$15 = 8.32816284548173378317489*Compile_$14; -double Compile_$16 = 1. + Compile_$12 + Compile_$15; -double Compile_$18 = 5.05050505050505050505051*a; -double Compile_$19 = -20.6122030425672911133578*Compile_$8; -double Compile_$21 = 16.8245714050136036023735*Compile_$20; -double Compile_$22 = Compile_$18 + Compile_$19 + Compile_$21; -double Compile_$24 = 18.3654729109274563820018*Compile_$3; -double Compile_$25 = -49.9689770728904026990493*Compile_$14; -double Compile_$27 = 33.9890331414416234391384*Compile_$26; -double Compile_$28 = -1. + Compile_$24 + Compile_$25 + Compile_$27; -double Compile_$30 = -7.07070707070707070707071*a; -double Compile_$31 = 57.714168519188415117402*Compile_$8; -double Compile_$32 = -117.771999835095225216615*Compile_$20; -double Compile_$34 = 68.6647134170537847255321*Compile_$33; -double Compile_$35 = Compile_$30 + Compile_$31 + Compile_$32 + Compile_$34; -double Compile_$37 = -32.6497296194265891235588*Compile_$3; -double Compile_$38 = 166.563256909634675663498*Compile_$14; -double Compile_$39 = -271.912265131532987513107*Compile_$26; -double Compile_$41 = 138.716592761724817627338*Compile_$40; -double Compile_$42 = 1. + Compile_$37 + Compile_$38 + Compile_$39 + Compile_$41; -double Compile_$44 = 9.09090909090909090909091*a; -double Compile_$45 = -123.673218255403746680147*Compile_$8; -double Compile_$46 = 454.263427935367297264085*Compile_$20; -double Compile_$47 = -617.982420753484062529789*Compile_$33; -double Compile_$49 = 280.235540932777409348157*Compile_$48; -double Compile_$50 = Compile_$44 + Compile_$45 + Compile_$46 + Compile_$47 + Compile_$49; -double Compile_$52 = 51.0152025303540455055607*Compile_$3; -double Compile_$53 = -416.408142274086689158744*Compile_$14; -double Compile_$54 = 1189.61615995045682036984*Compile_$26; -double Compile_$55 = -1387.16592761724817627338*Compile_$40; -double Compile_$57 = 566.132405924802847167993*Compile_$56; -double Compile_$58 = -1. + Compile_$52 + Compile_$53 + Compile_$54 + Compile_$55 + Compile_$57; -double Compile_$60 = -11.1111111111111111111111*a; -double Compile_$61 = 226.734233468240202246936*Compile_$8; -double Compile_$62 = -1295.49199818604747738276*Compile_$20; -double Compile_$63 = 3021.24739035036652792341*Compile_$33; -double Compile_$64 = -3082.59095026055150282972*Compile_$48; -double Compile_$65 = pow(a,11); -double Compile_$66 = 1143.70183015111686296564*Compile_$65; -double Compile_$67 = Compile_$60 + Compile_$61 + Compile_$62 + Compile_$63 + Compile_$64 + Compile_$66; -double Compile_$69 = -73.4618916437098255280073*Compile_$3; -double Compile_$70 = 874.457098775582047233363*Compile_$14; -double Compile_$71 = -3806.7717118414618251835*Compile_$26; -double Compile_$72 = 7490.69600913314015187623*Compile_$40; -double Compile_$73 = -6793.58887109763416601592*Compile_$56; -double Compile_$74 = pow(a,12); -double Compile_$75 = 2310.50874778003406659726*Compile_$74; -double Compile_$76 = 1. + Compile_$69 + Compile_$70 + Compile_$71 + Compile_$72 + Compile_$73 + Compile_$75; -double Compile_$95 = -12.*Compile_$78; -double Compile_$96 = pow(Compile_$78,3); -double Compile_$97 = 256.*Compile_$96; -double Compile_$98 = Compile_$95 + Compile_$97; -double Compile_$112 = -128.*Compile_$79; -double Compile_$113 = pow(Compile_$78,4); -double Compile_$114 = 2048.*Compile_$113; -double Compile_$115 = 1. + Compile_$112 + Compile_$114; -double Compile_$129 = 20.*Compile_$78; -double Compile_$130 = -1280.*Compile_$96; -double Compile_$131 = pow(Compile_$78,5); -double Compile_$132 = 16384.*Compile_$131; -double Compile_$133 = Compile_$129 + Compile_$130 + Compile_$132; -double Compile_$147 = 288.*Compile_$79; -double Compile_$148 = -12288.*Compile_$113; -double Compile_$149 = pow(Compile_$78,6); -double Compile_$150 = 131072.*Compile_$149; -double Compile_$151 = -1. + Compile_$147 + Compile_$148 + Compile_$150; -double Compile_$165 = -28.*Compile_$78; -double Compile_$166 = 3584.*Compile_$96; -double Compile_$167 = -114688.*Compile_$131; -double Compile_$168 = pow(Compile_$78,7); -double Compile_$169 = 1.048576e6*Compile_$168; -double Compile_$170 = Compile_$165 + Compile_$166 + Compile_$167 + Compile_$169; -double Compile_$184 = -512.*Compile_$79; -double Compile_$185 = 40960.*Compile_$113; -double Compile_$186 = -1.048576e6*Compile_$149; -double Compile_$187 = pow(Compile_$78,8); -double Compile_$188 = 8.388608e6*Compile_$187; -double Compile_$189 = 1. + Compile_$184 + Compile_$185 + Compile_$186 + Compile_$188; -double Compile_$203 = 36.*Compile_$78; -double Compile_$204 = -7680.*Compile_$96; -double Compile_$205 = 442368.*Compile_$131; -double Compile_$206 = -9.437184e6*Compile_$168; -double Compile_$207 = pow(Compile_$78,9); -double Compile_$208 = 6.7108864e7*Compile_$207; -double Compile_$209 = Compile_$203 + Compile_$204 + Compile_$205 + Compile_$206 + Compile_$208; -double Compile_$223 = 800.*Compile_$79; -double Compile_$224 = -102400.*Compile_$113; -double Compile_$225 = 4.58752e6*Compile_$149; -double Compile_$226 = -8.388608e7*Compile_$187; -double Compile_$227 = pow(Compile_$78,10); -double Compile_$228 = 5.36870912e8*Compile_$227; -double Compile_$229 = -1. + Compile_$223 + Compile_$224 + Compile_$225 + Compile_$226 + Compile_$228; -double Compile_$243 = -44.*Compile_$78; -double Compile_$244 = 14080.*Compile_$96; -double Compile_$245 = -1.261568e6*Compile_$131; -double Compile_$246 = 4.6137344e7*Compile_$168; -double Compile_$247 = -7.38197504e8*Compile_$207; -double Compile_$248 = pow(Compile_$78,11); -double Compile_$249 = 4.294967296e9*Compile_$248; -double Compile_$250 = Compile_$243 + Compile_$244 + Compile_$245 + Compile_$246 + Compile_$247 + Compile_$249; -double Compile_$264 = -1152.*Compile_$79; -double Compile_$265 = 215040.*Compile_$113; -double Compile_$266 = -1.4680064e7*Compile_$149; -double Compile_$267 = 4.52984832e8*Compile_$187; -double Compile_$268 = -6.442450944e9*Compile_$227; -double Compile_$269 = pow(Compile_$78,12); -double Compile_$270 = 3.4359738368e10*Compile_$269; -double Compile_$271 = 1. + Compile_$264 + Compile_$265 + Compile_$266 + Compile_$267 + Compile_$268 + Compile_$270; -double Compile_$298 = -0.525 + r; -double Compile_$299 = pow(Compile_$298,2); -double Compile_$300 = 10.0997348819593485671001*Compile_$299; -double Compile_$301 = -1. + Compile_$300; -double Compile_$471 = -6.74157303370786516853933*Compile_$298; -double Compile_$472 = pow(Compile_$298,3); -double Compile_$473 = 45.3920668852105553577533*Compile_$472; -double Compile_$474 = Compile_$471 + Compile_$473; -double Compile_$644 = -40.3989395278373942684005*Compile_$299; -double Compile_$645 = pow(Compile_$298,4); -double Compile_$646 = 204.009289371732833068554*Compile_$645; -double Compile_$647 = 1. + Compile_$644 + Compile_$646; -double Compile_$817 = 11.2359550561797752808989*Compile_$298; -double Compile_$818 = -226.960334426052776788767*Compile_$472; -double Compile_$819 = pow(Compile_$298,5); -double Compile_$820 = 916.89568256958576660024*Compile_$819; -double Compile_$821 = Compile_$817 + Compile_$818 + Compile_$820; -double Compile_$991 = 90.897613937634137103901*Compile_$299; -double Compile_$992 = -1224.05573623039699841133*Compile_$645; -double Compile_$993 = pow(Compile_$298,6); -double Compile_$994 = 4120.87947222285737797862*Compile_$993; -double Compile_$995 = -1. + Compile_$991 + Compile_$992 + Compile_$994; -double Compile_$1165 = -15.7303370786516853932584*Compile_$298; -double Compile_$1166 = 635.488936392947775008546*Compile_$472; -double Compile_$1167 = -6418.26977798710036620171*Compile_$819; -double Compile_$1168 = pow(Compile_$298,7); -double Compile_$1169 = 18520.806616731943271814*Compile_$1168; -double Compile_$1170 = Compile_$1165 + Compile_$1166 + Compile_$1167 + Compile_$1169; -double Compile_$1340 = -161.595758111349577073602*Compile_$299; -double Compile_$1341 = 4080.18578743465666137108*Compile_$645; -double Compile_$1342 = -32967.035777782859023829*Compile_$993; -double Compile_$1343 = pow(Compile_$298,8); -double Compile_$1344 = 83239.5802999188461654564*Compile_$1343; -double Compile_$1345 = 1. + Compile_$1340 + Compile_$1341 + Compile_$1342 + Compile_$1344; -double Compile_$1515 = 20.224719101123595505618*Compile_$298; -double Compile_$1516 = -1361.7620065563166607326*Compile_$472; -double Compile_$1517 = 24756.1834293788156982066*Compile_$819; -double Compile_$1518 = -166687.259550587489446326*Compile_$1168; -double Compile_$1519 = pow(Compile_$298,9); -double Compile_$1520 = 374110.473258062229957107*Compile_$1519; -double Compile_$1521 = Compile_$1515 + Compile_$1516 + Compile_$1517 + Compile_$1518 + Compile_$1520; -double Compile_$1691 = 252.493372048983714177503*Compile_$299; -double Compile_$1692 = -10200.4644685866416534277*Compile_$645; -double Compile_$1693 = 144230.781527800008229252*Compile_$993; -double Compile_$1694 = -832395.802999188461654564*Compile_$1343; -double Compile_$1695 = pow(Compile_$298,10); -double Compile_$1696 = 1.68139538542949316834655e6*Compile_$1695; -double Compile_$1697 = -1. + Compile_$1691 + Compile_$1692 + Compile_$1693 + Compile_$1694 + Compile_$1696; -double Compile_$1867 = -24.7191011235955056179775*Compile_$298; -double Compile_$1868 = 2496.56367868658054467643*Compile_$472; -double Compile_$1869 = -70600.9675578581040282188*Compile_$819; -double Compile_$1870 = 814915.491136205503959818*Compile_$1168; -double Compile_$1871 = -4.11521520583868452952818e6*Compile_$1519; -double Compile_$1872 = pow(Compile_$298,11); -double Compile_$1873 = 7.55683319294154232964741e6*Compile_$1872; -double Compile_$1874 = Compile_$1867 + Compile_$1868 + Compile_$1869 + Compile_$1870 + Compile_$1871 + Compile_$1873; -double Compile_$2044 = -363.590455750536548415604*Compile_$299; -double Compile_$2045 = 21420.9753840319474721982*Compile_$645; -double Compile_$2046 = -461538.500888960026333606*Compile_$993; -double Compile_$2047 = 4.49493733619561769293464e6*Compile_$1343; -double Compile_$2048 = -2.01767446251539180201586e7*Compile_$1695; -double Compile_$2049 = pow(Compile_$298,12); -double Compile_$2050 = 3.39632952491754711444828e7*Compile_$2049; -double Compile_$2051 = 1. + Compile_$2044 + Compile_$2045 + Compile_$2046 + Compile_$2047 + Compile_$2048 + Compile_$2050; -double Compile_$2221 = 29.2134831460674157303371*Compile_$298; -double Compile_$2222 = -4130.67808655416053755555*Compile_$472; -double Compile_$2223 = 166875.014227664609521244*Compile_$819; -double Compile_$2224 = -2.88924583221018315040299e6*Compile_$1168; -double Compile_$2225 = 2.4317180761774044947212e7*Compile_$1519; -double Compile_$2226 = -9.8238831508240050285416e7*Compile_$1872; -double Compile_$2227 = pow(Compile_$298,13); -double Compile_$2228 = 1.52644023591799870312282e8*Compile_$2227; -double Compile_$2229 = Compile_$2221 + Compile_$2222 + Compile_$2223 + Compile_$2224 + Compile_$2225 + Compile_$2226 + Compile_$2228; -double Compile_$2399 = 494.887009216008079787906*Compile_$299; -double Compile_$2400 = -39985.8207168596352814366*Compile_$645; -double Compile_$2401 = 1.21153856483352006912572e6*Compile_$993; -double Compile_$2402 = -1.74803118629829576947458e7*Compile_$1343; -double Compile_$2403 = 1.29467444678070973962684e8*Compile_$1695; -double Compile_$2404 = -4.75486133488456596022759e8*Compile_$2049; -double Compile_$2405 = pow(Compile_$298,14); -double Compile_$2406 = 6.86040555468763462077672e8*Compile_$2405; -double Compile_$2407 = -1. + Compile_$2399 + Compile_$2400 + Compile_$2401 + Compile_$2402 + Compile_$2403 + Compile_$2404 + Compile_$2406; -double Compile_$2577 = -33.7078651685393258426966*Compile_$298; -double Compile_$2578 = 6354.88936392947775008546*Compile_$472; -double Compile_$2579 = -346586.568011303419774892*Compile_$819; -double Compile_$2580 = 8.33436297752937447231632e6*Compile_$1168; -double Compile_$2581 = -1.02880380145967113238204e8*Compile_$1519; -double Compile_$2582 = 6.80114987364738809668267e8*Compile_$1872; -double Compile_$2583 = -2.28966035387699805468423e9*Compile_$2227; -double Compile_$2584 = pow(Compile_$298,15); -double Compile_$2585 = 3.08332833918545376214684e9*Compile_$2584; -double Compile_$2586 = Compile_$2577 + Compile_$2578 + Compile_$2579 + Compile_$2580 + Compile_$2581 + Compile_$2582 + Compile_$2583 + Compile_$2585; -double Compile_$2756 = -646.383032445398308294407*Compile_$299; -double Compile_$2757 = 68547.1212289022319110342*Compile_$645; -double Compile_$2758 = -2.76923100533376015800164e6*Compile_$993; -double Compile_$2759 = 5.49381229979464384692012e7*Compile_$1343; -double Compile_$2760 = -5.91851175671181595257985e8*Compile_$1695; -double Compile_$2761 = 3.53218270591424899902621e9*Compile_$2049; -double Compile_$2762 = -1.09766488875002153932428e10*Compile_$2405; -double Compile_$2763 = pow(Compile_$298,16); -double Compile_$2764 = 1.38576554570132753354914e10*Compile_$2763; -double Compile_$2765 = 1. + Compile_$2756 + Compile_$2757 + Compile_$2758 + Compile_$2759 + Compile_$2760 + Compile_$2761 + Compile_$2762 + Compile_$2764; -result = -0.08656597731179448 - 0.00026594440430338347*Compile_$1 - 0.00018065332931273078*Compile_$10 + 0.00010118721520549414*Compile_$115 + 0.0000370118398109539*Compile_$1*Compile_$115 + 2.2972839151100603e-6*Compile_$10*Compile_$115 + 9.320324616060847e-6*Compile_$1170 + 8.55461774210015e-6*Compile_$1*Compile_$1170 + 1.6491432503991679e-6*Compile_$10*Compile_$1170 + 1.843359949732229e-6*Compile_$115*Compile_$1170 - 2.0095246934332587e-6*Compile_$1*Compile_$115*Compile_$1170 + 2.7909834804152997e-7*Compile_$10*Compile_$115*Compile_$1170 + 0.000012518691981923327*Compile_$133 - 7.866448213376631e-8*Compile_$1*Compile_$133 - 1.992102012715706e-6*Compile_$10*Compile_$133 + 1.0615458688030153e-6*Compile_$1170*Compile_$133 - 1.0116325312740788e-6*Compile_$1*Compile_$1170*Compile_$133 + 7.758047566983167e-8*Compile_$10*Compile_$1170*Compile_$133 - 6.755260561059328e-6*Compile_$1345 - 4.021263844197314e-6*Compile_$1*Compile_$1345 + 2.643043221064923e-7*Compile_$10*Compile_$1345 + 3.190276386802142e-7*Compile_$115*Compile_$1345 - 2.6018818253279555e-7*Compile_$1*Compile_$115*Compile_$1345 + 4.198226881449254e-8*Compile_$10*Compile_$115*Compile_$1345 + 3.346983836668803e-7*Compile_$133*Compile_$1345 - 2.471694525668441e-7*Compile_$1*Compile_$133*Compile_$1345 + 8.423498383023654e-9*Compile_$10*Compile_$133*Compile_$1345 + 1.0523453701186114e-6*Compile_$151 + 1.6228077624373228e-6*Compile_$1*Compile_$151 - 1.0182329518590875e-7*Compile_$10*Compile_$151 + 2.7461552310820623e-8*Compile_$1170*Compile_$151 + 1.5591375740805157e-8*Compile_$1*Compile_$1170*Compile_$151 + 1.3343951950834947e-8*Compile_$10*Compile_$1170*Compile_$151 - 1.423514927948354e-7*Compile_$1345*Compile_$151 + 1.655831718961856e-7*Compile_$1*Compile_$1345*Compile_$151 - 1.6884961653661625e-8*Compile_$10*Compile_$1345*Compile_$151 + 3.3974772482028662e-6*Compile_$1521 - 6.169648565051519e-7*Compile_$1*Compile_$1521 + 5.686380530203594e-7*Compile_$10*Compile_$1521 - 1.621861057656173e-7*Compile_$115*Compile_$1521 + 3.494460317505244e-7*Compile_$1*Compile_$115*Compile_$1521 - 1.7406918282739537e-8*Compile_$10*Compile_$115*Compile_$1521 + 6.81253632219173e-8*Compile_$133*Compile_$1521 + 1.6100121768602157e-8*Compile_$1*Compile_$133*Compile_$1521 - 2.5837652050995683e-9*Compile_$10*Compile_$133*Compile_$1521 - 1.470599570077336e-7*Compile_$151*Compile_$1521 + 1.6639576466903424e-7*Compile_$1*Compile_$151*Compile_$1521 - 1.3365515306872226e-8*Compile_$10*Compile_$151*Compile_$1521 - 0.00015278455670918946*Compile_$16 + 1.735812067713719e-6*Compile_$115*Compile_$16 + 3.5953314037351074e-8*Compile_$1170*Compile_$16 + 1.321441223659009e-7*Compile_$115*Compile_$1170*Compile_$16 - 1.1895686130043512e-6*Compile_$133*Compile_$16 + 5.8044217060076e-8*Compile_$1170*Compile_$133*Compile_$16 - 1.268594888935145e-7*Compile_$1345*Compile_$16 + 4.3999587755680796e-8*Compile_$115*Compile_$1345*Compile_$16 + 2.674268252064707e-8*Compile_$133*Compile_$1345*Compile_$16 - 6.557145849541733e-8*Compile_$151*Compile_$16 + 1.628831962399691e-8*Compile_$1170*Compile_$151*Compile_$16 - 1.410502772993823e-9*Compile_$1345*Compile_$151*Compile_$16 + 2.332801808712099e-7*Compile_$1521*Compile_$16 + 2.0283253327626863e-8*Compile_$115*Compile_$1521*Compile_$16 + 1.3782326038941475e-8*Compile_$133*Compile_$1521*Compile_$16 - 1.5009815111466593e-9*Compile_$151*Compile_$1521*Compile_$16 - 6.350239323872674e-7*Compile_$1697 - 9.961556041913216e-7*Compile_$1*Compile_$1697 + 2.0714458868377645e-8*Compile_$10*Compile_$1697 - 2.326568043243525e-7*Compile_$115*Compile_$1697 + 3.56534079705049e-7*Compile_$1*Compile_$115*Compile_$1697 - 1.3071418924954503e-8*Compile_$10*Compile_$115*Compile_$1697 + 1.1693490924272242e-9*Compile_$133*Compile_$1697 + 5.2527419218324875e-8*Compile_$1*Compile_$133*Compile_$1697 + 5.273866340159471e-9*Compile_$10*Compile_$133*Compile_$1697 - 9.550179951292316e-8*Compile_$151*Compile_$1697 + 1.256449624548665e-7*Compile_$1*Compile_$151*Compile_$1697 + 5.854100464782115e-10*Compile_$10*Compile_$151*Compile_$1697 - 5.5900178395641296e-9*Compile_$16*Compile_$1697 + 1.3247495531004324e-8*Compile_$115*Compile_$16*Compile_$1697 + 9.817926179197908e-9*Compile_$133*Compile_$16*Compile_$1697 + 5.170747960320086e-9*Compile_$151*Compile_$16*Compile_$1697 - 1.6173580277268813e-7*Compile_$170 + 4.6033651525067857e-7*Compile_$1*Compile_$170 + 1.3427142722480932e-8*Compile_$10*Compile_$170 + 4.7453389229151724e-8*Compile_$1170*Compile_$170 - 1.2585465292622854e-8*Compile_$1*Compile_$1170*Compile_$170 + 1.3270027622447167e-8*Compile_$10*Compile_$1170*Compile_$170 - 7.214719183737886e-11*Compile_$1345*Compile_$170 - 3.0182046718324827e-9*Compile_$1*Compile_$1345*Compile_$170 - 7.068857956722156e-9*Compile_$10*Compile_$1345*Compile_$170 + 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3.757331600964257e-8*Compile_$76*Compile_$821*Compile_$98 - 0.00009730584380339314*Compile_$995 + 0.00002095694440097244*Compile_$1*Compile_$995 - 4.635708457633109e-6*Compile_$10*Compile_$995 + 2.8142176658354685e-6*Compile_$115*Compile_$995 - 4.325153379187714e-6*Compile_$1*Compile_$115*Compile_$995 + 6.436356516709371e-7*Compile_$10*Compile_$115*Compile_$995 + 1.9241732232227698e-6*Compile_$133*Compile_$995 - 2.294792678202981e-6*Compile_$1*Compile_$133*Compile_$995 + 1.9060980906864925e-7*Compile_$10*Compile_$133*Compile_$995 + 3.560498839006703e-7*Compile_$151*Compile_$995 - 3.7066603332978834e-7*Compile_$1*Compile_$151*Compile_$995 + 7.888285419205395e-8*Compile_$10*Compile_$151*Compile_$995 - 4.7935896008849196e-6*Compile_$16*Compile_$995 + 1.9486440027032626e-7*Compile_$115*Compile_$16*Compile_$995 + 7.114597133959922e-8*Compile_$133*Compile_$16*Compile_$995 + 4.450203942761613e-8*Compile_$151*Compile_$16*Compile_$995 + 1.4206726562133724e-7*Compile_$170*Compile_$995 - 8.924686442437993e-8*Compile_$1*Compile_$170*Compile_$995 + 4.539838362768044e-8*Compile_$10*Compile_$170*Compile_$995 + 3.423882279405601e-8*Compile_$16*Compile_$170*Compile_$995 + 6.872923527476078e-8*Compile_$189*Compile_$995 - 1.1466821609870186e-8*Compile_$1*Compile_$189*Compile_$995 + 2.5305926344957e-8*Compile_$10*Compile_$189*Compile_$995 + 2.3094910138869252e-8*Compile_$16*Compile_$189*Compile_$995 - 1.954989038281511e-8*Compile_$209*Compile_$995 + 4.5384042655014064e-8*Compile_$1*Compile_$209*Compile_$995 + 1.3549662503592838e-8*Compile_$10*Compile_$209*Compile_$995 + 1.2237950544288192e-8*Compile_$16*Compile_$209*Compile_$995 - 3.5635615497252027e-6*Compile_$22*Compile_$995 + 5.021721558287715e-8*Compile_$115*Compile_$22*Compile_$995 + 7.615121402298991e-9*Compile_$133*Compile_$22*Compile_$995 + 2.1898503235322746e-8*Compile_$151*Compile_$22*Compile_$995 + 1.990120662096169e-8*Compile_$170*Compile_$22*Compile_$995 + 1.7990294575965833e-8*Compile_$189*Compile_$22*Compile_$995 + 1.0249107376098574e-8*Compile_$209*Compile_$22*Compile_$995 + 1.8543443453328948e-8*Compile_$229*Compile_$995 - 3.08325328981124e-8*Compile_$1*Compile_$229*Compile_$995 - 3.6329848193613987e-9*Compile_$10*Compile_$229*Compile_$995 - 2.7889197950034187e-9*Compile_$16*Compile_$229*Compile_$995 - 3.061172456979294e-9*Compile_$22*Compile_$229*Compile_$995 - 3.465960346272487e-8*Compile_$250*Compile_$995 - 8.995774533923626e-9*Compile_$1*Compile_$250*Compile_$995 - 3.2897655258958764e-8*Compile_$10*Compile_$250*Compile_$995 - 2.7506078804922522e-8*Compile_$16*Compile_$250*Compile_$995 - 2.1170821074768843e-8*Compile_$22*Compile_$250*Compile_$995 - 3.4044171896252324e-9*Compile_$271*Compile_$995 - 3.1349255609719565e-8*Compile_$1*Compile_$271*Compile_$995 - 1.6877607562842165e-8*Compile_$10*Compile_$271*Compile_$995 - 1.678166772682685e-8*Compile_$16*Compile_$271*Compile_$995 - 1.684276448551853e-8*Compile_$22*Compile_$271*Compile_$995 - 2.474083649143357e-6*Compile_$28*Compile_$995 + 3.227791800148887e-8*Compile_$115*Compile_$28*Compile_$995 - 7.176090960126205e-9*Compile_$133*Compile_$28*Compile_$995 + 1.054197249216907e-8*Compile_$151*Compile_$28*Compile_$995 + 1.207016698956893e-8*Compile_$170*Compile_$28*Compile_$995 + 1.1798028384621644e-8*Compile_$189*Compile_$28*Compile_$995 + 8.495093067011562e-9*Compile_$209*Compile_$28*Compile_$995 - 1.2952145871917635e-9*Compile_$229*Compile_$28*Compile_$995 - 1.7993241029249462e-8*Compile_$250*Compile_$28*Compile_$995 - 1.497718106273268e-8*Compile_$271*Compile_$28*Compile_$995 - 1.7488390480831611e-6*Compile_$35*Compile_$995 + 4.18608878726691e-8*Compile_$115*Compile_$35*Compile_$995 - 4.6097878581126365e-9*Compile_$133*Compile_$35*Compile_$995 + 3.954528905048281e-9*Compile_$151*Compile_$35*Compile_$995 + 7.66278200412163e-9*Compile_$170*Compile_$35*Compile_$995 + 5.5736855506892026e-9*Compile_$189*Compile_$35*Compile_$995 + 6.809182281123514e-9*Compile_$209*Compile_$35*Compile_$995 + 1.3746642294010068e-9*Compile_$229*Compile_$35*Compile_$995 - 1.64332912186228e-8*Compile_$250*Compile_$35*Compile_$995 - 1.2180955090973167e-8*Compile_$271*Compile_$35*Compile_$995 - 1.304654992580027e-6*Compile_$42*Compile_$995 + 5.022763904635869e-8*Compile_$115*Compile_$42*Compile_$995 - 1.3484096408540633e-9*Compile_$133*Compile_$42*Compile_$995 + 1.4091100335112723e-9*Compile_$151*Compile_$42*Compile_$995 + 2.2616635294751858e-9*Compile_$170*Compile_$42*Compile_$995 + 1.1055885098453727e-9*Compile_$189*Compile_$42*Compile_$995 + 5.2152722006985075e-9*Compile_$209*Compile_$42*Compile_$995 + 2.923019113226651e-9*Compile_$229*Compile_$42*Compile_$995 - 1.3224780127982144e-8*Compile_$250*Compile_$42*Compile_$995 - 1.0559578959768967e-8*Compile_$271*Compile_$42*Compile_$995 + 1.973667663578705e-6*Compile_$5*Compile_$995 + 1.083866810791851e-6*Compile_$115*Compile_$5*Compile_$995 + 6.333154352596386e-8*Compile_$133*Compile_$5*Compile_$995 + 3.141685026710359e-8*Compile_$151*Compile_$5*Compile_$995 + 1.0726766378004525e-8*Compile_$170*Compile_$5*Compile_$995 + 1.287995204864121e-8*Compile_$189*Compile_$5*Compile_$995 + 1.4449710072616365e-8*Compile_$209*Compile_$5*Compile_$995 - 1.1033555884939281e-8*Compile_$229*Compile_$5*Compile_$995 - 3.0115013944000216e-8*Compile_$250*Compile_$5*Compile_$995 - 2.060512381514526e-8*Compile_$271*Compile_$5*Compile_$995 - 1.0379064114206786e-6*Compile_$50*Compile_$995 + 5.349496543783588e-8*Compile_$115*Compile_$50*Compile_$995 - 8.189359129806761e-10*Compile_$133*Compile_$50*Compile_$995 + 1.1182817953255899e-9*Compile_$151*Compile_$50*Compile_$995 - 4.048117939348984e-9*Compile_$170*Compile_$50*Compile_$995 - 1.5831906156183005e-9*Compile_$189*Compile_$50*Compile_$995 + 4.047783784026086e-9*Compile_$209*Compile_$50*Compile_$995 + 3.3510358349454414e-9*Compile_$229*Compile_$50*Compile_$995 - 8.836439596981694e-9*Compile_$250*Compile_$50*Compile_$995 - 1.0157882887210216e-8*Compile_$271*Compile_$50*Compile_$995 - 8.798015589956228e-7*Compile_$58*Compile_$995 + 5.2845652690165354e-8*Compile_$115*Compile_$58*Compile_$995 - 1.22533816416165e-10*Compile_$133*Compile_$58*Compile_$995 - 3.9237127091865746e-10*Compile_$151*Compile_$58*Compile_$995 - 7.94551706696348e-9*Compile_$170*Compile_$58*Compile_$995 - 4.174476704393129e-9*Compile_$189*Compile_$58*Compile_$995 + 3.1883423260765843e-9*Compile_$209*Compile_$58*Compile_$995 + 4.103861799438006e-9*Compile_$229*Compile_$58*Compile_$995 - 6.41706168485754e-9*Compile_$250*Compile_$58*Compile_$995 - 9.323712497839155e-9*Compile_$271*Compile_$58*Compile_$995 - 7.9450338926417e-7*Compile_$67*Compile_$995 + 5.04747503255232e-8*Compile_$115*Compile_$67*Compile_$995 + 2.0213645415593514e-9*Compile_$133*Compile_$67*Compile_$995 - 3.735872996296285e-9*Compile_$151*Compile_$67*Compile_$995 - 8.318000749467039e-9*Compile_$170*Compile_$67*Compile_$995 - 6.95868364668986e-9*Compile_$189*Compile_$67*Compile_$995 + 2.6270787725720376e-9*Compile_$209*Compile_$67*Compile_$995 + 5.651548776025594e-9*Compile_$229*Compile_$67*Compile_$995 - 6.845451648755716e-9*Compile_$250*Compile_$67*Compile_$995 - 7.669018614776983e-9*Compile_$271*Compile_$67*Compile_$995 - 3.8365475409845425e-7*Compile_$76*Compile_$995 + 2.4587380151750405e-8*Compile_$115*Compile_$76*Compile_$995 + 1.6403670461165821e-9*Compile_$133*Compile_$76*Compile_$995 - 2.8107993580796426e-9*Compile_$151*Compile_$76*Compile_$995 - 3.911105823524323e-9*Compile_$170*Compile_$76*Compile_$995 - 4.1321477025014795e-9*Compile_$189*Compile_$76*Compile_$995 + 1.2246156586719871e-9*Compile_$209*Compile_$76*Compile_$995 + 3.2559772387935007e-9*Compile_$229*Compile_$76*Compile_$995 - 3.805839660793269e-9*Compile_$250*Compile_$76*Compile_$995 - 3.380029108854741e-9*Compile_$271*Compile_$76*Compile_$995 - 0.0004176986080241677*Compile_$78*Compile_$995 + 0.00006570793424414855*Compile_$1*Compile_$78*Compile_$995 - 0.00001423090242676886*Compile_$10*Compile_$78*Compile_$995 - 0.000019807441658093617*Compile_$16*Compile_$78*Compile_$995 - 0.00001506525701197338*Compile_$22*Compile_$78*Compile_$995 - 9.9756264749665e-6*Compile_$28*Compile_$78*Compile_$995 - 6.531297846325911e-6*Compile_$35*Compile_$78*Compile_$995 - 4.489494227297151e-6*Compile_$42*Compile_$78*Compile_$995 + 0.000026754740450062204*Compile_$5*Compile_$78*Compile_$995 - 3.327137120230356e-6*Compile_$50*Compile_$78*Compile_$995 - 2.6860232506039896e-6*Compile_$58*Compile_$78*Compile_$995 - 2.369743771097667e-6*Compile_$67*Compile_$78*Compile_$995 - 1.1378708053243353e-6*Compile_$76*Compile_$78*Compile_$995 - 1.1318157846312233e-6*Compile_$81*Compile_$995 - 0.000016681523753844838*Compile_$1*Compile_$81*Compile_$995 + 1.71563225741784e-6*Compile_$10*Compile_$81*Compile_$995 - 2.7975023539962353e-7*Compile_$16*Compile_$81*Compile_$995 - 5.009439449490162e-7*Compile_$22*Compile_$81*Compile_$995 - 2.878154328996983e-7*Compile_$28*Compile_$81*Compile_$995 - 9.103273230488014e-8*Compile_$35*Compile_$81*Compile_$995 + 1.6114534913399818e-8*Compile_$42*Compile_$81*Compile_$995 + 6.261274790011914e-6*Compile_$5*Compile_$81*Compile_$995 + 6.015222333916432e-8*Compile_$50*Compile_$81*Compile_$995 + 7.471042989776258e-8*Compile_$58*Compile_$81*Compile_$995 + 7.895832860277376e-8*Compile_$67*Compile_$81*Compile_$995 + 3.996835804970327e-8*Compile_$76*Compile_$81*Compile_$995 + 7.2290972342904636e-6*Compile_$98*Compile_$995 - 0.000014573379662039897*Compile_$1*Compile_$98*Compile_$995 + 1.1483030463633038e-6*Compile_$10*Compile_$98*Compile_$995 + 3.1294674679032133e-8*Compile_$16*Compile_$98*Compile_$995 - 2.445837795516645e-7*Compile_$22*Compile_$98*Compile_$995 - 2.2504286814445452e-7*Compile_$28*Compile_$98*Compile_$995 - 1.5989339254971992e-7*Compile_$35*Compile_$98*Compile_$995 - 1.1396486905878459e-7*Compile_$42*Compile_$98*Compile_$995 + 2.584389268448752e-6*Compile_$5*Compile_$98*Compile_$995 - 9.009098879377738e-8*Compile_$50*Compile_$98*Compile_$995 - 7.922959218528067e-8*Compile_$58*Compile_$98*Compile_$995 - 7.483138495715989e-8*Compile_$67*Compile_$98*Compile_$995 - 3.68463507157196e-8*Compile_$76*Compile_$98*Compile_$995; - return result; -} - -double pdot_Cheby_full(const double a, const double e, const double r){ - double result; -double Compile_$3 = (a * a); -double Compile_$8 = pow(a,3); -double Compile_$14 = pow(a,4); -double Compile_$20 = pow(a,5); -double Compile_$26 = pow(a,6); -double Compile_$33 = pow(a,7); -double Compile_$40 = pow(a,8); -double Compile_$48 = pow(a,9); -double Compile_$56 = pow(a,10); -double Compile_$1 = 0.e-24 + a; -double Compile_$78 = -0.25 + e; -double Compile_$79 = pow(Compile_$78,2); -double Compile_$80 = 32.*Compile_$79; -double Compile_$81 = -1. + Compile_$80; -double Compile_$4 = 2.04060810121416182022243*Compile_$3; -double Compile_$5 = -1. + Compile_$4; -double Compile_$7 = -3.0303030303030303030303*a; -double Compile_$9 = 4.12244060851345822267157*Compile_$8; -double Compile_$10 = Compile_$7 + Compile_$9; -double Compile_$12 = -8.16243240485664728088971*Compile_$3; -double Compile_$15 = 8.32816284548173378317489*Compile_$14; -double Compile_$16 = 1. + Compile_$12 + Compile_$15; -double Compile_$18 = 5.05050505050505050505051*a; -double Compile_$19 = -20.6122030425672911133578*Compile_$8; -double Compile_$21 = 16.8245714050136036023735*Compile_$20; -double Compile_$22 = Compile_$18 + Compile_$19 + Compile_$21; -double Compile_$24 = 18.3654729109274563820018*Compile_$3; -double Compile_$25 = -49.9689770728904026990493*Compile_$14; -double Compile_$27 = 33.9890331414416234391384*Compile_$26; -double Compile_$28 = -1. + Compile_$24 + Compile_$25 + Compile_$27; -double Compile_$30 = -7.07070707070707070707071*a; -double Compile_$31 = 57.714168519188415117402*Compile_$8; -double Compile_$32 = -117.771999835095225216615*Compile_$20; -double Compile_$34 = 68.6647134170537847255321*Compile_$33; -double Compile_$35 = Compile_$30 + Compile_$31 + Compile_$32 + Compile_$34; -double Compile_$37 = -32.6497296194265891235588*Compile_$3; -double Compile_$38 = 166.563256909634675663498*Compile_$14; -double Compile_$39 = -271.912265131532987513107*Compile_$26; -double Compile_$41 = 138.716592761724817627338*Compile_$40; -double Compile_$42 = 1. + Compile_$37 + Compile_$38 + Compile_$39 + Compile_$41; -double Compile_$44 = 9.09090909090909090909091*a; -double Compile_$45 = -123.673218255403746680147*Compile_$8; -double Compile_$46 = 454.263427935367297264085*Compile_$20; -double Compile_$47 = -617.982420753484062529789*Compile_$33; -double Compile_$49 = 280.235540932777409348157*Compile_$48; -double Compile_$50 = Compile_$44 + Compile_$45 + Compile_$46 + Compile_$47 + Compile_$49; -double Compile_$52 = 51.0152025303540455055607*Compile_$3; -double Compile_$53 = -416.408142274086689158744*Compile_$14; -double Compile_$54 = 1189.61615995045682036984*Compile_$26; -double Compile_$55 = -1387.16592761724817627338*Compile_$40; -double Compile_$57 = 566.132405924802847167993*Compile_$56; -double Compile_$58 = -1. + Compile_$52 + Compile_$53 + Compile_$54 + Compile_$55 + Compile_$57; -double Compile_$60 = -11.1111111111111111111111*a; -double Compile_$61 = 226.734233468240202246936*Compile_$8; -double Compile_$62 = -1295.49199818604747738276*Compile_$20; -double Compile_$63 = 3021.24739035036652792341*Compile_$33; -double Compile_$64 = -3082.59095026055150282972*Compile_$48; -double Compile_$65 = pow(a,11); -double Compile_$66 = 1143.70183015111686296564*Compile_$65; -double Compile_$67 = Compile_$60 + Compile_$61 + Compile_$62 + Compile_$63 + Compile_$64 + Compile_$66; -double Compile_$69 = -73.4618916437098255280073*Compile_$3; -double Compile_$70 = 874.457098775582047233363*Compile_$14; -double Compile_$71 = -3806.7717118414618251835*Compile_$26; -double Compile_$72 = 7490.69600913314015187623*Compile_$40; -double Compile_$73 = -6793.58887109763416601592*Compile_$56; -double Compile_$74 = pow(a,12); -double Compile_$75 = 2310.50874778003406659726*Compile_$74; -double Compile_$76 = 1. + Compile_$69 + Compile_$70 + Compile_$71 + Compile_$72 + Compile_$73 + Compile_$75; -double Compile_$95 = -12.*Compile_$78; -double Compile_$96 = pow(Compile_$78,3); -double Compile_$97 = 256.*Compile_$96; -double Compile_$98 = Compile_$95 + Compile_$97; -double Compile_$112 = -128.*Compile_$79; -double Compile_$113 = pow(Compile_$78,4); -double Compile_$114 = 2048.*Compile_$113; -double Compile_$115 = 1. + Compile_$112 + Compile_$114; -double Compile_$129 = 20.*Compile_$78; -double Compile_$130 = -1280.*Compile_$96; -double Compile_$131 = pow(Compile_$78,5); -double Compile_$132 = 16384.*Compile_$131; -double Compile_$133 = Compile_$129 + Compile_$130 + Compile_$132; -double Compile_$147 = 288.*Compile_$79; -double Compile_$148 = -12288.*Compile_$113; -double Compile_$149 = pow(Compile_$78,6); -double Compile_$150 = 131072.*Compile_$149; -double Compile_$151 = -1. + Compile_$147 + Compile_$148 + Compile_$150; -double Compile_$165 = -28.*Compile_$78; -double Compile_$166 = 3584.*Compile_$96; -double Compile_$167 = -114688.*Compile_$131; -double Compile_$168 = pow(Compile_$78,7); -double Compile_$169 = 1.048576e6*Compile_$168; -double Compile_$170 = Compile_$165 + Compile_$166 + Compile_$167 + Compile_$169; -double Compile_$184 = -512.*Compile_$79; -double Compile_$185 = 40960.*Compile_$113; -double Compile_$186 = -1.048576e6*Compile_$149; -double Compile_$187 = pow(Compile_$78,8); -double Compile_$188 = 8.388608e6*Compile_$187; -double Compile_$189 = 1. + Compile_$184 + Compile_$185 + Compile_$186 + Compile_$188; -double Compile_$203 = 36.*Compile_$78; -double Compile_$204 = -7680.*Compile_$96; -double Compile_$205 = 442368.*Compile_$131; -double Compile_$206 = -9.437184e6*Compile_$168; -double Compile_$207 = pow(Compile_$78,9); -double Compile_$208 = 6.7108864e7*Compile_$207; -double Compile_$209 = Compile_$203 + Compile_$204 + Compile_$205 + Compile_$206 + Compile_$208; -double Compile_$223 = 800.*Compile_$79; -double Compile_$224 = -102400.*Compile_$113; -double Compile_$225 = 4.58752e6*Compile_$149; -double Compile_$226 = -8.388608e7*Compile_$187; -double Compile_$227 = pow(Compile_$78,10); -double Compile_$228 = 5.36870912e8*Compile_$227; -double Compile_$229 = -1. + Compile_$223 + Compile_$224 + Compile_$225 + Compile_$226 + Compile_$228; -double Compile_$243 = -44.*Compile_$78; -double Compile_$244 = 14080.*Compile_$96; -double Compile_$245 = -1.261568e6*Compile_$131; -double Compile_$246 = 4.6137344e7*Compile_$168; -double Compile_$247 = -7.38197504e8*Compile_$207; -double Compile_$248 = pow(Compile_$78,11); -double Compile_$249 = 4.294967296e9*Compile_$248; -double Compile_$250 = Compile_$243 + Compile_$244 + Compile_$245 + Compile_$246 + Compile_$247 + Compile_$249; -double Compile_$264 = -1152.*Compile_$79; -double Compile_$265 = 215040.*Compile_$113; -double Compile_$266 = -1.4680064e7*Compile_$149; -double Compile_$267 = 4.52984832e8*Compile_$187; -double Compile_$268 = -6.442450944e9*Compile_$227; -double Compile_$269 = pow(Compile_$78,12); -double Compile_$270 = 3.4359738368e10*Compile_$269; -double Compile_$271 = 1. + Compile_$264 + Compile_$265 + Compile_$266 + Compile_$267 + Compile_$268 + Compile_$270; -double Compile_$298 = -0.525 + r; -double Compile_$299 = pow(Compile_$298,2); -double Compile_$300 = 10.0997348819593485671001*Compile_$299; -double Compile_$301 = -1. + Compile_$300; -double Compile_$471 = -6.74157303370786516853933*Compile_$298; -double Compile_$472 = pow(Compile_$298,3); -double Compile_$473 = 45.3920668852105553577533*Compile_$472; -double Compile_$474 = Compile_$471 + Compile_$473; -double Compile_$644 = -40.3989395278373942684005*Compile_$299; -double Compile_$645 = pow(Compile_$298,4); -double Compile_$646 = 204.009289371732833068554*Compile_$645; -double Compile_$647 = 1. + Compile_$644 + Compile_$646; -double Compile_$817 = 11.2359550561797752808989*Compile_$298; -double Compile_$818 = -226.960334426052776788767*Compile_$472; -double Compile_$819 = pow(Compile_$298,5); -double Compile_$820 = 916.89568256958576660024*Compile_$819; -double Compile_$821 = Compile_$817 + Compile_$818 + Compile_$820; -double Compile_$991 = 90.897613937634137103901*Compile_$299; -double Compile_$992 = -1224.05573623039699841133*Compile_$645; -double Compile_$993 = pow(Compile_$298,6); -double Compile_$994 = 4120.87947222285737797862*Compile_$993; -double Compile_$995 = -1. + Compile_$991 + Compile_$992 + Compile_$994; -double Compile_$1165 = -15.7303370786516853932584*Compile_$298; -double Compile_$1166 = 635.488936392947775008546*Compile_$472; -double Compile_$1167 = -6418.26977798710036620171*Compile_$819; -double Compile_$1168 = pow(Compile_$298,7); -double Compile_$1169 = 18520.806616731943271814*Compile_$1168; -double Compile_$1170 = Compile_$1165 + Compile_$1166 + Compile_$1167 + Compile_$1169; -double Compile_$1340 = -161.595758111349577073602*Compile_$299; -double Compile_$1341 = 4080.18578743465666137108*Compile_$645; -double Compile_$1342 = -32967.035777782859023829*Compile_$993; -double Compile_$1343 = pow(Compile_$298,8); -double Compile_$1344 = 83239.5802999188461654564*Compile_$1343; -double Compile_$1345 = 1. + Compile_$1340 + Compile_$1341 + Compile_$1342 + Compile_$1344; -double Compile_$1515 = 20.224719101123595505618*Compile_$298; -double Compile_$1516 = -1361.7620065563166607326*Compile_$472; -double Compile_$1517 = 24756.1834293788156982066*Compile_$819; -double Compile_$1518 = -166687.259550587489446326*Compile_$1168; -double Compile_$1519 = pow(Compile_$298,9); -double Compile_$1520 = 374110.473258062229957107*Compile_$1519; -double Compile_$1521 = Compile_$1515 + Compile_$1516 + Compile_$1517 + Compile_$1518 + Compile_$1520; -double Compile_$1691 = 252.493372048983714177503*Compile_$299; -double Compile_$1692 = -10200.4644685866416534277*Compile_$645; -double Compile_$1693 = 144230.781527800008229252*Compile_$993; -double Compile_$1694 = -832395.802999188461654564*Compile_$1343; -double Compile_$1695 = pow(Compile_$298,10); -double Compile_$1696 = 1.68139538542949316834655e6*Compile_$1695; -double Compile_$1697 = -1. + Compile_$1691 + Compile_$1692 + Compile_$1693 + Compile_$1694 + Compile_$1696; -double Compile_$1867 = -24.7191011235955056179775*Compile_$298; -double Compile_$1868 = 2496.56367868658054467643*Compile_$472; -double Compile_$1869 = -70600.9675578581040282188*Compile_$819; -double Compile_$1870 = 814915.491136205503959818*Compile_$1168; -double Compile_$1871 = -4.11521520583868452952818e6*Compile_$1519; -double Compile_$1872 = pow(Compile_$298,11); -double Compile_$1873 = 7.55683319294154232964741e6*Compile_$1872; -double Compile_$1874 = Compile_$1867 + Compile_$1868 + Compile_$1869 + Compile_$1870 + Compile_$1871 + Compile_$1873; -double Compile_$2044 = -363.590455750536548415604*Compile_$299; -double Compile_$2045 = 21420.9753840319474721982*Compile_$645; -double Compile_$2046 = -461538.500888960026333606*Compile_$993; -double Compile_$2047 = 4.49493733619561769293464e6*Compile_$1343; -double Compile_$2048 = -2.01767446251539180201586e7*Compile_$1695; -double Compile_$2049 = pow(Compile_$298,12); -double Compile_$2050 = 3.39632952491754711444828e7*Compile_$2049; -double Compile_$2051 = 1. + Compile_$2044 + Compile_$2045 + Compile_$2046 + Compile_$2047 + Compile_$2048 + Compile_$2050; -double Compile_$2221 = 29.2134831460674157303371*Compile_$298; -double Compile_$2222 = -4130.67808655416053755555*Compile_$472; -double Compile_$2223 = 166875.014227664609521244*Compile_$819; -double Compile_$2224 = -2.88924583221018315040299e6*Compile_$1168; -double Compile_$2225 = 2.4317180761774044947212e7*Compile_$1519; -double Compile_$2226 = -9.8238831508240050285416e7*Compile_$1872; -double Compile_$2227 = pow(Compile_$298,13); -double Compile_$2228 = 1.52644023591799870312282e8*Compile_$2227; -double Compile_$2229 = Compile_$2221 + Compile_$2222 + Compile_$2223 + Compile_$2224 + Compile_$2225 + Compile_$2226 + Compile_$2228; -double Compile_$2399 = 494.887009216008079787906*Compile_$299; -double Compile_$2400 = -39985.8207168596352814366*Compile_$645; -double Compile_$2401 = 1.21153856483352006912572e6*Compile_$993; -double Compile_$2402 = -1.74803118629829576947458e7*Compile_$1343; -double Compile_$2403 = 1.29467444678070973962684e8*Compile_$1695; -double Compile_$2404 = -4.75486133488456596022759e8*Compile_$2049; -double Compile_$2405 = pow(Compile_$298,14); -double Compile_$2406 = 6.86040555468763462077672e8*Compile_$2405; -double Compile_$2407 = -1. + Compile_$2399 + Compile_$2400 + Compile_$2401 + Compile_$2402 + Compile_$2403 + Compile_$2404 + Compile_$2406; -double Compile_$2577 = -33.7078651685393258426966*Compile_$298; -double Compile_$2578 = 6354.88936392947775008546*Compile_$472; -double Compile_$2579 = -346586.568011303419774892*Compile_$819; -double Compile_$2580 = 8.33436297752937447231632e6*Compile_$1168; -double Compile_$2581 = -1.02880380145967113238204e8*Compile_$1519; -double Compile_$2582 = 6.80114987364738809668267e8*Compile_$1872; -double Compile_$2583 = -2.28966035387699805468423e9*Compile_$2227; -double Compile_$2584 = pow(Compile_$298,15); -double Compile_$2585 = 3.08332833918545376214684e9*Compile_$2584; -double Compile_$2586 = Compile_$2577 + Compile_$2578 + Compile_$2579 + Compile_$2580 + Compile_$2581 + Compile_$2582 + Compile_$2583 + Compile_$2585; -double Compile_$2756 = -646.383032445398308294407*Compile_$299; -double Compile_$2757 = 68547.1212289022319110342*Compile_$645; -double Compile_$2758 = -2.76923100533376015800164e6*Compile_$993; -double Compile_$2759 = 5.49381229979464384692012e7*Compile_$1343; -double Compile_$2760 = -5.91851175671181595257985e8*Compile_$1695; -double Compile_$2761 = 3.53218270591424899902621e9*Compile_$2049; -double Compile_$2762 = -1.09766488875002153932428e10*Compile_$2405; -double Compile_$2763 = pow(Compile_$298,16); -double Compile_$2764 = 1.38576554570132753354914e10*Compile_$2763; -double Compile_$2765 = 1. + Compile_$2756 + Compile_$2757 + Compile_$2758 + Compile_$2759 + Compile_$2760 + Compile_$2761 + Compile_$2762 + Compile_$2764; -result = -0.35766508994227225 + 0.020863645038898704*Compile_$1 + 0.002233108648378374*Compile_$10 + 0.000035752478592260954*Compile_$115 + 3.501465177047039e-6*Compile_$1*Compile_$115 - 9.41420822825265e-6*Compile_$10*Compile_$115 + 0.00003488603647727561*Compile_$1170 - 2.287254075642457e-6*Compile_$1*Compile_$1170 + 1.6967818039716738e-6*Compile_$10*Compile_$1170 + 1.1477396728153914e-6*Compile_$115*Compile_$1170 - 5.117866799027866e-8*Compile_$1*Compile_$115*Compile_$1170 + 2.8336241194821826e-7*Compile_$10*Compile_$115*Compile_$1170 + 0.000012932494524087722*Compile_$133 + 3.892485968716944e-6*Compile_$1*Compile_$133 - 4.798242358895228e-8*Compile_$10*Compile_$133 + 6.501531616750044e-7*Compile_$1170*Compile_$133 - 4.911329294904554e-7*Compile_$1*Compile_$1170*Compile_$133 - 3.4483798647239775e-7*Compile_$10*Compile_$1170*Compile_$133 - 0.000013837194948026909*Compile_$1345 - 4.713298027244905e-6*Compile_$1*Compile_$1345 - 3.0715106687766164e-8*Compile_$10*Compile_$1345 + 3.937521378561128e-7*Compile_$115*Compile_$1345 + 2.1564520363287008e-7*Compile_$1*Compile_$115*Compile_$1345 - 1.8236062743332996e-7*Compile_$10*Compile_$115*Compile_$1345 - 3.1939262506704737e-7*Compile_$133*Compile_$1345 + 6.044593411465508e-7*Compile_$1*Compile_$133*Compile_$1345 + 3.619690816036651e-8*Compile_$10*Compile_$133*Compile_$1345 - 2.6290542947781314e-6*Compile_$151 + 2.618460222824475e-6*Compile_$1*Compile_$151 + 2.525441619371322e-7*Compile_$10*Compile_$151 - 1.2532326019399771e-6*Compile_$1170*Compile_$151 + 1.3865788361467843e-6*Compile_$1*Compile_$1170*Compile_$151 + 3.5778404571458196e-7*Compile_$10*Compile_$1170*Compile_$151 - 5.45193352267576e-7*Compile_$1345*Compile_$151 + 4.099549535248366e-7*Compile_$1*Compile_$1345*Compile_$151 - 9.48314030090642e-8*Compile_$10*Compile_$1345*Compile_$151 + 5.4786718562145485e-6*Compile_$1521 - 2.7528142942635717e-7*Compile_$1*Compile_$1521 + 8.683744481672631e-7*Compile_$10*Compile_$1521 + 2.4060528900349506e-7*Compile_$115*Compile_$1521 + 2.416797119718086e-7*Compile_$1*Compile_$115*Compile_$1521 + 1.1179252677796624e-7*Compile_$10*Compile_$115*Compile_$1521 - 1.8698129088577866e-7*Compile_$133*Compile_$1521 + 1.7264721371283355e-7*Compile_$1*Compile_$133*Compile_$1521 - 2.2819751481701116e-7*Compile_$10*Compile_$133*Compile_$1521 - 4.0760009442265567e-7*Compile_$151*Compile_$1521 + 4.540320370785994e-7*Compile_$1*Compile_$151*Compile_$1521 + 1.7357628126300522e-7*Compile_$10*Compile_$151*Compile_$1521 + 0.0009079149371429683*Compile_$16 - 6.9135371674072465e-6*Compile_$115*Compile_$16 - 4.3173451690171643e-7*Compile_$1170*Compile_$16 - 4.576936667249944e-8*Compile_$115*Compile_$1170*Compile_$16 - 4.131359581248379e-7*Compile_$133*Compile_$16 + 1.9694809550881978e-7*Compile_$1170*Compile_$133*Compile_$16 - 2.802898134490704e-7*Compile_$1345*Compile_$16 + 2.3860182885516377e-7*Compile_$115*Compile_$1345*Compile_$16 - 1.4806597553900366e-7*Compile_$133*Compile_$1345*Compile_$16 + 4.6049187797364764e-7*Compile_$151*Compile_$16 - 1.473625899161401e-7*Compile_$1170*Compile_$151*Compile_$16 + 1.242144127264436e-7*Compile_$1345*Compile_$151*Compile_$16 + 5.242415172438633e-7*Compile_$1521*Compile_$16 + 3.1204329084655193e-9*Compile_$115*Compile_$1521*Compile_$16 + 4.154641965219601e-8*Compile_$133*Compile_$1521*Compile_$16 - 8.84612841554035e-8*Compile_$151*Compile_$1521*Compile_$16 - 2.7337812047237126e-6*Compile_$1697 + 2.5178203215699566e-7*Compile_$1*Compile_$1697 + 9.4857787363335e-9*Compile_$10*Compile_$1697 + 4.542959028494096e-7*Compile_$115*Compile_$1697 - 3.60307070492173e-7*Compile_$1*Compile_$115*Compile_$1697 + 1.849258705100599e-8*Compile_$10*Compile_$115*Compile_$1697 - 1.9882014869276526e-7*Compile_$133*Compile_$1697 + 2.0540252367362216e-7*Compile_$1*Compile_$133*Compile_$1697 - 7.600308373440366e-8*Compile_$10*Compile_$133*Compile_$1697 - 1.1258509670840324e-7*Compile_$151*Compile_$1697 + 7.334571391014579e-8*Compile_$1*Compile_$151*Compile_$1697 + 4.535324732220478e-8*Compile_$10*Compile_$151*Compile_$1697 + 7.856626692139306e-8*Compile_$16*Compile_$1697 + 6.40503139554406e-8*Compile_$115*Compile_$16*Compile_$1697 - 3.769935531736733e-8*Compile_$133*Compile_$16*Compile_$1697 - 4.2211236804595884e-9*Compile_$151*Compile_$16*Compile_$1697 + 1.3427898527690874e-6*Compile_$170 - 3.8325835870340245e-7*Compile_$1*Compile_$170 + 9.563085209300183e-8*Compile_$10*Compile_$170 + 8.440204915936205e-7*Compile_$1170*Compile_$170 - 8.503511342594869e-7*Compile_$1*Compile_$1170*Compile_$170 - 3.235750688403927e-7*Compile_$10*Compile_$1170*Compile_$170 + 3.2237453619645795e-7*Compile_$1345*Compile_$170 - 1.4748101821086624e-7*Compile_$1*Compile_$1345*Compile_$170 + 1.2665762743555736e-7*Compile_$10*Compile_$1345*Compile_$170 + 3.6508731422805626e-7*Compile_$1521*Compile_$170 - 4.2972881450979515e-7*Compile_$1*Compile_$1521*Compile_$170 - 1.341509253539297e-7*Compile_$10*Compile_$1521*Compile_$170 - 3.273011848754334e-7*Compile_$16*Compile_$170 + 2.0566672382203024e-7*Compile_$1170*Compile_$16*Compile_$170 - 8.006182060592932e-8*Compile_$1345*Compile_$16*Compile_$170 + 1.2335127459593862e-7*Compile_$1521*Compile_$16*Compile_$170 + 1.597517403302355e-7*Compile_$1697*Compile_$170 - 1.5129209271930037e-7*Compile_$1*Compile_$1697*Compile_$170 - 2.50726930067073e-9*Compile_$10*Compile_$1697*Compile_$170 + 3.191507157332195e-8*Compile_$16*Compile_$1697*Compile_$170 + 2.2661557105971617e-7*Compile_$1874 + 6.667241138419063e-7*Compile_$1*Compile_$1874 + 4.794566192833733e-8*Compile_$10*Compile_$1874 + 5.019874053773095e-7*Compile_$115*Compile_$1874 - 5.360181562833124e-7*Compile_$1*Compile_$115*Compile_$1874 + 1.4978884786648998e-8*Compile_$10*Compile_$115*Compile_$1874 - 1.3340676861943575e-7*Compile_$133*Compile_$1874 + 1.3560450177496407e-7*Compile_$1*Compile_$133*Compile_$1874 - 3.778909731304526e-8*Compile_$10*Compile_$133*Compile_$1874 - 5.576222403508064e-9*Compile_$151*Compile_$1874 - 4.2789514412067684e-8*Compile_$1*Compile_$151*Compile_$1874 + 3.0327324469600944e-8*Compile_$10*Compile_$151*Compile_$1874 + 1.2447843430357557e-7*Compile_$16*Compile_$1874 + 4.558646417979117e-8*Compile_$115*Compile_$16*Compile_$1874 - 2.7024750095590754e-8*Compile_$133*Compile_$16*Compile_$1874 + 2.7119792320865317e-9*Compile_$151*Compile_$16*Compile_$1874 + 6.447090264821769e-8*Compile_$170*Compile_$1874 - 3.646520983337759e-8*Compile_$1*Compile_$170*Compile_$1874 + 3.1864794605681784e-9*Compile_$10*Compile_$170*Compile_$1874 + 1.272233589292366e-8*Compile_$16*Compile_$170*Compile_$1874 - 6.238339628196019e-7*Compile_$189 + 3.602046691969858e-8*Compile_$1*Compile_$189 - 1.2991898023163092e-7*Compile_$10*Compile_$189 - 6.911089706006673e-7*Compile_$1170*Compile_$189 + 8.485512934776274e-7*Compile_$1*Compile_$1170*Compile_$189 + 2.4893148686692084e-7*Compile_$10*Compile_$1170*Compile_$189 - 2.1730384650464603e-7*Compile_$1345*Compile_$189 + 1.4247632511562508e-7*Compile_$1*Compile_$1345*Compile_$189 - 2.0042062797423105e-7*Compile_$10*Compile_$1345*Compile_$189 - 2.740547551903676e-7*Compile_$1521*Compile_$189 + 4.0953161818697186e-7*Compile_$1*Compile_$1521*Compile_$189 + 7.007515915975573e-8*Compile_$10*Compile_$1521*Compile_$189 + 2.9919557831705357e-7*Compile_$16*Compile_$189 - 2.3359766945307262e-7*Compile_$1170*Compile_$16*Compile_$189 + 5.0233274590396654e-8*Compile_$1345*Compile_$16*Compile_$189 - 1.4699982371624767e-7*Compile_$1521*Compile_$16*Compile_$189 - 8.315685614609713e-8*Compile_$1697*Compile_$189 + 1.2549061842685496e-7*Compile_$1*Compile_$1697*Compile_$189 - 5.0957882642624965e-8*Compile_$10*Compile_$1697*Compile_$189 - 4.761159426232903e-8*Compile_$16*Compile_$1697*Compile_$189 - 5.324957669160113e-9*Compile_$1874*Compile_$189 + 6.632710450460346e-9*Compile_$1*Compile_$1874*Compile_$189 - 4.6610682217296394e-8*Compile_$10*Compile_$1874*Compile_$189 - 2.0402288531696175e-8*Compile_$16*Compile_$1874*Compile_$189 - 9.027822546767133e-7*Compile_$2051 + 5.336704953982433e-7*Compile_$1*Compile_$2051 - 4.60068202356316e-9*Compile_$10*Compile_$2051 + 2.9567587439125164e-7*Compile_$115*Compile_$2051 - 2.603369931933948e-7*Compile_$1*Compile_$115*Compile_$2051 + 1.3713746342388915e-7*Compile_$10*Compile_$115*Compile_$2051 + 2.1591373701403996e-9*Compile_$133*Compile_$2051 - 8.636557544195147e-8*Compile_$1*Compile_$133*Compile_$2051 - 1.5370608951828751e-7*Compile_$10*Compile_$133*Compile_$2051 - 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1.4227571039982483e-7*Compile_$189*Compile_$22*Compile_$995 + 1.3994290549743823e-7*Compile_$209*Compile_$22*Compile_$995 - 1.5933065424084085e-7*Compile_$229*Compile_$995 + 5.7299218045838464e-8*Compile_$1*Compile_$229*Compile_$995 - 4.5928249008042117e-7*Compile_$10*Compile_$229*Compile_$995 + 1.1595151778102711e-7*Compile_$16*Compile_$229*Compile_$995 - 1.1498899706009794e-7*Compile_$22*Compile_$229*Compile_$995 + 1.0471781483806048e-7*Compile_$250*Compile_$995 - 9.206205334333488e-8*Compile_$1*Compile_$250*Compile_$995 + 5.017407926638626e-7*Compile_$10*Compile_$250*Compile_$995 - 1.0296961569394602e-7*Compile_$16*Compile_$250*Compile_$995 + 8.588004301947375e-8*Compile_$22*Compile_$250*Compile_$995 - 5.496478211546145e-8*Compile_$271*Compile_$995 + 3.4122925088994026e-8*Compile_$1*Compile_$271*Compile_$995 - 2.8076255633002393e-7*Compile_$10*Compile_$271*Compile_$995 + 2.556525891252464e-8*Compile_$16*Compile_$271*Compile_$995 - 6.294705134719214e-8*Compile_$22*Compile_$271*Compile_$995 - 4.591944638942628e-6*Compile_$28*Compile_$995 - 1.9737424496032116e-7*Compile_$115*Compile_$28*Compile_$995 + 1.1654095306328083e-7*Compile_$133*Compile_$28*Compile_$995 - 4.555522868011891e-8*Compile_$151*Compile_$28*Compile_$995 + 4.2969246741800523e-8*Compile_$170*Compile_$28*Compile_$995 + 9.084611745751995e-9*Compile_$189*Compile_$28*Compile_$995 - 3.335441439787231e-8*Compile_$209*Compile_$28*Compile_$995 + 7.484709762701172e-8*Compile_$229*Compile_$28*Compile_$995 - 1.1667717646484294e-7*Compile_$250*Compile_$28*Compile_$995 + 3.8803408254311324e-8*Compile_$271*Compile_$28*Compile_$995 - 3.507978914660097e-6*Compile_$35*Compile_$995 - 3.506972913598257e-8*Compile_$115*Compile_$35*Compile_$995 - 5.071920904193911e-8*Compile_$133*Compile_$35*Compile_$995 + 1.0821264917824322e-7*Compile_$151*Compile_$35*Compile_$995 - 1.0720610321012877e-7*Compile_$170*Compile_$35*Compile_$995 + 1.4230757066071768e-7*Compile_$189*Compile_$35*Compile_$995 - 1.4910982791403997e-7*Compile_$209*Compile_$35*Compile_$995 + 1.7258134447545283e-7*Compile_$229*Compile_$35*Compile_$995 - 2.0338793850817465e-7*Compile_$250*Compile_$35*Compile_$995 + 7.823431897870755e-8*Compile_$271*Compile_$35*Compile_$995 - 2.9436393843115715e-6*Compile_$42*Compile_$995 - 3.221702037897211e-7*Compile_$115*Compile_$42*Compile_$995 + 2.689690204246312e-7*Compile_$133*Compile_$42*Compile_$995 - 2.3436081013705945e-7*Compile_$151*Compile_$42*Compile_$995 + 2.5323783052335193e-7*Compile_$170*Compile_$42*Compile_$995 - 2.374896340906535e-7*Compile_$189*Compile_$42*Compile_$995 + 2.4607724075041993e-7*Compile_$209*Compile_$42*Compile_$995 - 2.3525648660304105e-7*Compile_$229*Compile_$42*Compile_$995 + 2.106231999096422e-7*Compile_$250*Compile_$42*Compile_$995 - 1.3149890676251638e-7*Compile_$271*Compile_$42*Compile_$995 + 2.7507634351483536e-6*Compile_$5*Compile_$995 - 1.1844373846423607e-7*Compile_$115*Compile_$5*Compile_$995 - 7.94014029415831e-7*Compile_$133*Compile_$5*Compile_$995 + 5.722028765588858e-7*Compile_$151*Compile_$5*Compile_$995 - 6.610031883476196e-7*Compile_$170*Compile_$5*Compile_$995 + 5.660156308022892e-7*Compile_$189*Compile_$5*Compile_$995 - 5.050131054134661e-7*Compile_$209*Compile_$5*Compile_$995 + 4.6399392114702877e-7*Compile_$229*Compile_$5*Compile_$995 - 4.4769364182163936e-7*Compile_$250*Compile_$5*Compile_$995 + 1.9993506062796995e-7*Compile_$271*Compile_$5*Compile_$995 - 2.166145309771442e-6*Compile_$50*Compile_$995 + 2.6467295447759595e-7*Compile_$115*Compile_$50*Compile_$995 - 2.8200432215931834e-7*Compile_$133*Compile_$50*Compile_$995 + 2.971814926910411e-7*Compile_$151*Compile_$50*Compile_$995 - 2.6768463701241164e-7*Compile_$170*Compile_$50*Compile_$995 + 2.780264979898958e-7*Compile_$189*Compile_$50*Compile_$995 - 2.704133108568037e-7*Compile_$209*Compile_$50*Compile_$995 + 2.844277550513601e-7*Compile_$229*Compile_$50*Compile_$995 - 3.1389550458935967e-7*Compile_$250*Compile_$50*Compile_$995 + 1.3048445304875066e-7*Compile_$271*Compile_$50*Compile_$995 - 2.249435467862846e-6*Compile_$58*Compile_$995 - 4.4575688766917543e-7*Compile_$115*Compile_$58*Compile_$995 + 4.298112583070159e-7*Compile_$133*Compile_$58*Compile_$995 - 4.111676466694576e-7*Compile_$151*Compile_$58*Compile_$995 + 4.3863775025658434e-7*Compile_$170*Compile_$58*Compile_$995 - 4.300891442226778e-7*Compile_$189*Compile_$58*Compile_$995 + 4.4093770668214133e-7*Compile_$209*Compile_$58*Compile_$995 - 4.3089611848162476e-7*Compile_$229*Compile_$58*Compile_$995 + 4.0302631052833483e-7*Compile_$250*Compile_$58*Compile_$995 - 2.2937949422624284e-7*Compile_$271*Compile_$58*Compile_$995 - 1.725855341564919e-6*Compile_$67*Compile_$995 + 4.008342249225891e-7*Compile_$115*Compile_$67*Compile_$995 - 4.465008260735448e-7*Compile_$133*Compile_$67*Compile_$995 + 4.861637201410338e-7*Compile_$151*Compile_$67*Compile_$995 - 4.6571377063936876e-7*Compile_$170*Compile_$67*Compile_$995 + 4.6680864272381097e-7*Compile_$189*Compile_$67*Compile_$995 - 4.3912116832593185e-7*Compile_$209*Compile_$67*Compile_$995 + 4.29485656070946e-7*Compile_$229*Compile_$67*Compile_$995 - 4.4305912139619906e-7*Compile_$250*Compile_$67*Compile_$995 + 1.9026858616111393e-7*Compile_$271*Compile_$67*Compile_$995 - 1.0788251224545387e-6*Compile_$76*Compile_$995 - 2.484553525431351e-7*Compile_$115*Compile_$76*Compile_$995 + 2.16376322471921e-7*Compile_$133*Compile_$76*Compile_$995 - 1.9052080954480247e-7*Compile_$151*Compile_$76*Compile_$995 + 1.9900773632248424e-7*Compile_$170*Compile_$76*Compile_$995 - 2.0106787103086423e-7*Compile_$189*Compile_$76*Compile_$995 + 2.2022652941020754e-7*Compile_$209*Compile_$76*Compile_$995 - 2.3114283997321554e-7*Compile_$229*Compile_$76*Compile_$995 + 2.2892160827775965e-7*Compile_$250*Compile_$76*Compile_$995 - 1.3104891040131798e-7*Compile_$271*Compile_$76*Compile_$995 - 0.0000829537081366622*Compile_$78*Compile_$995 - 0.00010710294655720061*Compile_$1*Compile_$78*Compile_$995 + 0.000015979203927742887*Compile_$10*Compile_$78*Compile_$995 - 2.4438918576666162e-6*Compile_$16*Compile_$78*Compile_$995 - 3.2382205823341385e-6*Compile_$22*Compile_$78*Compile_$995 - 1.7794347950125689e-6*Compile_$28*Compile_$78*Compile_$995 - 3.4401860981971043e-7*Compile_$35*Compile_$78*Compile_$995 + 1.966342961103554e-6*Compile_$42*Compile_$78*Compile_$995 + 0.000046679776642685647*Compile_$5*Compile_$78*Compile_$995 + 9.715658270894569e-8*Compile_$50*Compile_$78*Compile_$995 + 3.384043686311708e-6*Compile_$58*Compile_$78*Compile_$995 + 5.722876669107333e-7*Compile_$67*Compile_$78*Compile_$995 + 2.2260270953592886e-6*Compile_$76*Compile_$78*Compile_$995 + 0.00004703301912127947*Compile_$81*Compile_$995 - 0.00007116024885390266*Compile_$1*Compile_$81*Compile_$995 + 1.0652755782811568e-6*Compile_$10*Compile_$81*Compile_$995 - 2.8843561110569893e-7*Compile_$16*Compile_$81*Compile_$995 - 1.3570673377543613e-6*Compile_$22*Compile_$81*Compile_$995 - 1.2947532354998061e-6*Compile_$28*Compile_$81*Compile_$995 - 1.0080798210129076e-6*Compile_$35*Compile_$81*Compile_$995 - 1.1306058981182928e-6*Compile_$42*Compile_$81*Compile_$995 + 1.112549831593947e-7*Compile_$5*Compile_$81*Compile_$995 - 3.9913901438528404e-7*Compile_$50*Compile_$81*Compile_$995 - 1.0612922890392117e-6*Compile_$58*Compile_$81*Compile_$995 - 2.5605550215582343e-7*Compile_$67*Compile_$81*Compile_$995 - 5.937478017462456e-7*Compile_$76*Compile_$81*Compile_$995 + 6.24685373870102e-6*Compile_$98*Compile_$995 - 0.000010866679500267696*Compile_$1*Compile_$98*Compile_$995 + 2.596406470911527e-6*Compile_$10*Compile_$98*Compile_$995 + 6.889361469984928e-7*Compile_$16*Compile_$98*Compile_$995 + 5.489178105517164e-7*Compile_$22*Compile_$98*Compile_$995 + 3.378261773988058e-7*Compile_$28*Compile_$98*Compile_$995 + 1.9404342866634632e-7*Compile_$35*Compile_$98*Compile_$995 + 4.921226908511361e-7*Compile_$42*Compile_$98*Compile_$995 + 3.234590674440092e-6*Compile_$5*Compile_$98*Compile_$995 - 1.0483122333571183e-7*Compile_$50*Compile_$98*Compile_$995 + 6.170650486222597e-7*Compile_$58*Compile_$98*Compile_$995 - 1.9066915342350414e-7*Compile_$67*Compile_$98*Compile_$995 + 3.647869231515349e-7*Compile_$76*Compile_$98*Compile_$995; - return result; -} - -double Edot_SC(const double a, const double e, const double r, const double p){ - double result; -double Compile_$4 = pow(a,2); -double Compile_$9 = pow(a,3); -double Compile_$14 = pow(a,4); -double Compile_$20 = pow(a,5); -double Compile_$26 = pow(a,6); -double Compile_$33 = pow(a,7); -double Compile_$40 = pow(a,8); -double Compile_$48 = pow(a,9); -double Compile_$56 = pow(a,10); -double Compile_$2 = 0.e-24 + a; -double Compile_$78 = -0.25 + e; -double Compile_$79 = pow(Compile_$78,2); -double Compile_$80 = 32.*Compile_$79; -double Compile_$81 = -1. + Compile_$80; -double Compile_$5 = 2.04060810121416182022243*Compile_$4; -double Compile_$6 = -1. + Compile_$5; -double Compile_$8 = -3.0303030303030303030303*a; -double Compile_$10 = 4.12244060851345822267157*Compile_$9; -double Compile_$11 = Compile_$10 + Compile_$8; -double Compile_$13 = -8.16243240485664728088971*Compile_$4; -double Compile_$15 = 8.32816284548173378317489*Compile_$14; -double Compile_$16 = 1. + Compile_$13 + Compile_$15; -double Compile_$18 = 5.05050505050505050505051*a; -double Compile_$19 = -20.6122030425672911133578*Compile_$9; -double Compile_$21 = 16.8245714050136036023735*Compile_$20; -double Compile_$22 = Compile_$18 + Compile_$19 + Compile_$21; -double Compile_$24 = 18.3654729109274563820018*Compile_$4; -double Compile_$25 = -49.9689770728904026990493*Compile_$14; -double Compile_$27 = 33.9890331414416234391384*Compile_$26; -double Compile_$28 = -1. + Compile_$24 + Compile_$25 + Compile_$27; -double Compile_$30 = -7.07070707070707070707071*a; -double Compile_$31 = 57.714168519188415117402*Compile_$9; -double Compile_$32 = -117.771999835095225216615*Compile_$20; -double Compile_$34 = 68.6647134170537847255321*Compile_$33; -double Compile_$35 = Compile_$30 + Compile_$31 + Compile_$32 + Compile_$34; -double Compile_$37 = -32.6497296194265891235588*Compile_$4; -double Compile_$38 = 166.563256909634675663498*Compile_$14; -double Compile_$39 = -271.912265131532987513107*Compile_$26; -double Compile_$41 = 138.716592761724817627338*Compile_$40; -double Compile_$42 = 1. + Compile_$37 + Compile_$38 + Compile_$39 + Compile_$41; -double Compile_$44 = 9.09090909090909090909091*a; -double Compile_$45 = -123.673218255403746680147*Compile_$9; -double Compile_$46 = 454.263427935367297264085*Compile_$20; -double Compile_$47 = -617.982420753484062529789*Compile_$33; -double Compile_$49 = 280.235540932777409348157*Compile_$48; -double Compile_$50 = Compile_$44 + Compile_$45 + Compile_$46 + Compile_$47 + Compile_$49; -double Compile_$52 = 51.0152025303540455055607*Compile_$4; -double Compile_$53 = -416.408142274086689158744*Compile_$14; -double Compile_$54 = 1189.61615995045682036984*Compile_$26; -double Compile_$55 = -1387.16592761724817627338*Compile_$40; -double Compile_$57 = 566.132405924802847167993*Compile_$56; -double Compile_$58 = -1. + Compile_$52 + Compile_$53 + Compile_$54 + Compile_$55 + Compile_$57; -double Compile_$60 = -11.1111111111111111111111*a; -double Compile_$61 = 226.734233468240202246936*Compile_$9; -double Compile_$62 = -1295.49199818604747738276*Compile_$20; -double Compile_$63 = 3021.24739035036652792341*Compile_$33; -double Compile_$64 = -3082.59095026055150282972*Compile_$48; -double Compile_$65 = pow(a,11); -double Compile_$66 = 1143.70183015111686296564*Compile_$65; -double Compile_$67 = Compile_$60 + Compile_$61 + Compile_$62 + Compile_$63 + Compile_$64 + Compile_$66; -double Compile_$69 = -73.4618916437098255280073*Compile_$4; -double Compile_$70 = 874.457098775582047233363*Compile_$14; -double Compile_$71 = -3806.7717118414618251835*Compile_$26; -double Compile_$72 = 7490.69600913314015187623*Compile_$40; -double Compile_$73 = -6793.58887109763416601592*Compile_$56; -double Compile_$74 = pow(a,12); -double Compile_$75 = 2310.50874778003406659726*Compile_$74; -double Compile_$76 = 1. + Compile_$69 + Compile_$70 + Compile_$71 + Compile_$72 + Compile_$73 + Compile_$75; -double Compile_$95 = -12.*Compile_$78; -double Compile_$96 = pow(Compile_$78,3); -double Compile_$97 = 256.*Compile_$96; -double Compile_$98 = Compile_$95 + Compile_$97; -double Compile_$112 = -128.*Compile_$79; -double Compile_$113 = pow(Compile_$78,4); -double Compile_$114 = 2048.*Compile_$113; -double Compile_$115 = 1. + Compile_$112 + Compile_$114; -double Compile_$129 = 20.*Compile_$78; -double Compile_$130 = -1280.*Compile_$96; -double Compile_$131 = pow(Compile_$78,5); -double Compile_$132 = 16384.*Compile_$131; -double Compile_$133 = Compile_$129 + Compile_$130 + Compile_$132; -double Compile_$147 = 288.*Compile_$79; -double Compile_$148 = -12288.*Compile_$113; -double Compile_$149 = pow(Compile_$78,6); -double Compile_$150 = 131072.*Compile_$149; -double Compile_$151 = -1. + Compile_$147 + Compile_$148 + Compile_$150; -double Compile_$165 = -28.*Compile_$78; -double Compile_$166 = 3584.*Compile_$96; -double Compile_$167 = -114688.*Compile_$131; -double Compile_$168 = pow(Compile_$78,7); -double Compile_$169 = 1.048576e6*Compile_$168; -double Compile_$170 = Compile_$165 + Compile_$166 + Compile_$167 + Compile_$169; -double Compile_$184 = -512.*Compile_$79; -double Compile_$185 = 40960.*Compile_$113; -double Compile_$186 = -1.048576e6*Compile_$149; -double Compile_$187 = pow(Compile_$78,8); -double Compile_$188 = 8.388608e6*Compile_$187; -double Compile_$189 = 1. + Compile_$184 + Compile_$185 + Compile_$186 + Compile_$188; -double Compile_$203 = 36.*Compile_$78; -double Compile_$204 = -7680.*Compile_$96; -double Compile_$205 = 442368.*Compile_$131; -double Compile_$206 = -9.437184e6*Compile_$168; -double Compile_$207 = pow(Compile_$78,9); -double Compile_$208 = 6.7108864e7*Compile_$207; -double Compile_$209 = Compile_$203 + Compile_$204 + Compile_$205 + Compile_$206 + Compile_$208; -double Compile_$223 = 800.*Compile_$79; -double Compile_$224 = -102400.*Compile_$113; -double Compile_$225 = 4.58752e6*Compile_$149; -double Compile_$226 = -8.388608e7*Compile_$187; -double Compile_$227 = pow(Compile_$78,10); -double Compile_$228 = 5.36870912e8*Compile_$227; -double Compile_$229 = -1. + Compile_$223 + Compile_$224 + Compile_$225 + Compile_$226 + Compile_$228; -double Compile_$243 = -44.*Compile_$78; -double Compile_$244 = 14080.*Compile_$96; -double Compile_$245 = -1.261568e6*Compile_$131; -double Compile_$246 = 4.6137344e7*Compile_$168; -double Compile_$247 = -7.38197504e8*Compile_$207; -double Compile_$248 = pow(Compile_$78,11); -double Compile_$249 = 4.294967296e9*Compile_$248; -double Compile_$250 = Compile_$243 + Compile_$244 + Compile_$245 + Compile_$246 + Compile_$247 + Compile_$249; -double Compile_$264 = -1152.*Compile_$79; -double Compile_$265 = 215040.*Compile_$113; -double Compile_$266 = -1.4680064e7*Compile_$149; -double Compile_$267 = 4.52984832e8*Compile_$187; -double Compile_$268 = -6.442450944e9*Compile_$227; -double Compile_$269 = pow(Compile_$78,12); -double Compile_$270 = 3.4359738368e10*Compile_$269; -double Compile_$271 = 1. + Compile_$264 + Compile_$265 + Compile_$266 + Compile_$267 + Compile_$268 + Compile_$270; -double Compile_$298 = -0.525 + r; -double Compile_$299 = pow(Compile_$298,2); -double Compile_$300 = 10.0997348819593485671001*Compile_$299; -double Compile_$301 = -1. + Compile_$300; -double Compile_$471 = -6.74157303370786516853933*Compile_$298; -double Compile_$472 = pow(Compile_$298,3); -double Compile_$473 = 45.3920668852105553577533*Compile_$472; -double Compile_$474 = Compile_$471 + Compile_$473; -double Compile_$644 = -40.3989395278373942684005*Compile_$299; -double Compile_$645 = pow(Compile_$298,4); -double Compile_$646 = 204.009289371732833068554*Compile_$645; -double Compile_$647 = 1. + Compile_$644 + Compile_$646; -double Compile_$817 = 11.2359550561797752808989*Compile_$298; -double Compile_$818 = -226.960334426052776788767*Compile_$472; -double Compile_$819 = pow(Compile_$298,5); -double Compile_$820 = 916.89568256958576660024*Compile_$819; -double Compile_$821 = Compile_$817 + Compile_$818 + Compile_$820; -double Compile_$991 = 90.897613937634137103901*Compile_$299; -double Compile_$992 = -1224.05573623039699841133*Compile_$645; -double Compile_$993 = pow(Compile_$298,6); -double Compile_$994 = 4120.87947222285737797862*Compile_$993; -double Compile_$995 = -1. + Compile_$991 + Compile_$992 + Compile_$994; -double Compile_$1165 = -15.7303370786516853932584*Compile_$298; -double Compile_$1166 = 635.488936392947775008546*Compile_$472; -double Compile_$1167 = -6418.26977798710036620171*Compile_$819; -double Compile_$1168 = pow(Compile_$298,7); -double Compile_$1169 = 18520.806616731943271814*Compile_$1168; -double Compile_$1170 = Compile_$1165 + Compile_$1166 + Compile_$1167 + Compile_$1169; -double Compile_$1340 = -161.595758111349577073602*Compile_$299; -double Compile_$1341 = 4080.18578743465666137108*Compile_$645; -double Compile_$1342 = -32967.035777782859023829*Compile_$993; -double Compile_$1343 = pow(Compile_$298,8); -double Compile_$1344 = 83239.5802999188461654564*Compile_$1343; -double Compile_$1345 = 1. + Compile_$1340 + Compile_$1341 + Compile_$1342 + Compile_$1344; -double Compile_$1515 = 20.224719101123595505618*Compile_$298; -double Compile_$1516 = -1361.7620065563166607326*Compile_$472; -double Compile_$1517 = 24756.1834293788156982066*Compile_$819; -double Compile_$1518 = -166687.259550587489446326*Compile_$1168; -double Compile_$1519 = pow(Compile_$298,9); -double Compile_$1520 = 374110.473258062229957107*Compile_$1519; -double Compile_$1521 = Compile_$1515 + Compile_$1516 + Compile_$1517 + Compile_$1518 + Compile_$1520; -double Compile_$1691 = 252.493372048983714177503*Compile_$299; -double Compile_$1692 = -10200.4644685866416534277*Compile_$645; -double Compile_$1693 = 144230.781527800008229252*Compile_$993; -double Compile_$1694 = -832395.802999188461654564*Compile_$1343; -double Compile_$1695 = pow(Compile_$298,10); -double Compile_$1696 = 1.68139538542949316834655e6*Compile_$1695; -double Compile_$1697 = -1. + Compile_$1691 + Compile_$1692 + Compile_$1693 + Compile_$1694 + Compile_$1696; -double Compile_$1867 = -24.7191011235955056179775*Compile_$298; -double Compile_$1868 = 2496.56367868658054467643*Compile_$472; -double Compile_$1869 = -70600.9675578581040282188*Compile_$819; -double Compile_$1870 = 814915.491136205503959818*Compile_$1168; -double Compile_$1871 = -4.11521520583868452952818e6*Compile_$1519; -double Compile_$1872 = pow(Compile_$298,11); -double Compile_$1873 = 7.55683319294154232964741e6*Compile_$1872; -double Compile_$1874 = Compile_$1867 + Compile_$1868 + Compile_$1869 + Compile_$1870 + Compile_$1871 + Compile_$1873; -double Compile_$2044 = -363.590455750536548415604*Compile_$299; -double Compile_$2045 = 21420.9753840319474721982*Compile_$645; -double Compile_$2046 = -461538.500888960026333606*Compile_$993; -double Compile_$2047 = 4.49493733619561769293464e6*Compile_$1343; -double Compile_$2048 = -2.01767446251539180201586e7*Compile_$1695; -double Compile_$2049 = pow(Compile_$298,12); -double Compile_$2050 = 3.39632952491754711444828e7*Compile_$2049; -double Compile_$2051 = 1. + Compile_$2044 + Compile_$2045 + Compile_$2046 + Compile_$2047 + Compile_$2048 + Compile_$2050; -double Compile_$2221 = 29.2134831460674157303371*Compile_$298; -double Compile_$2222 = -4130.67808655416053755555*Compile_$472; -double Compile_$2223 = 166875.014227664609521244*Compile_$819; -double Compile_$2224 = -2.88924583221018315040299e6*Compile_$1168; -double Compile_$2225 = 2.4317180761774044947212e7*Compile_$1519; -double Compile_$2226 = -9.8238831508240050285416e7*Compile_$1872; -double Compile_$2227 = pow(Compile_$298,13); -double Compile_$2228 = 1.52644023591799870312282e8*Compile_$2227; -double Compile_$2229 = Compile_$2221 + Compile_$2222 + Compile_$2223 + Compile_$2224 + Compile_$2225 + Compile_$2226 + Compile_$2228; -double Compile_$2399 = 494.887009216008079787906*Compile_$299; -double Compile_$2400 = -39985.8207168596352814366*Compile_$645; -double Compile_$2401 = 1.21153856483352006912572e6*Compile_$993; -double Compile_$2402 = -1.74803118629829576947458e7*Compile_$1343; -double Compile_$2403 = 1.29467444678070973962684e8*Compile_$1695; -double Compile_$2404 = -4.75486133488456596022759e8*Compile_$2049; -double Compile_$2405 = pow(Compile_$298,14); -double Compile_$2406 = 6.86040555468763462077672e8*Compile_$2405; -double Compile_$2407 = -1. + Compile_$2399 + Compile_$2400 + Compile_$2401 + Compile_$2402 + Compile_$2403 + Compile_$2404 + Compile_$2406; -double Compile_$2577 = -33.7078651685393258426966*Compile_$298; -double Compile_$2578 = 6354.88936392947775008546*Compile_$472; -double Compile_$2579 = -346586.568011303419774892*Compile_$819; -double Compile_$2580 = 8.33436297752937447231632e6*Compile_$1168; -double Compile_$2581 = -1.02880380145967113238204e8*Compile_$1519; -double Compile_$2582 = 6.80114987364738809668267e8*Compile_$1872; -double Compile_$2583 = -2.28966035387699805468423e9*Compile_$2227; -double Compile_$2584 = pow(Compile_$298,15); -double Compile_$2585 = 3.08332833918545376214684e9*Compile_$2584; -double Compile_$2586 = Compile_$2577 + Compile_$2578 + Compile_$2579 + Compile_$2580 + Compile_$2581 + Compile_$2582 + Compile_$2583 + Compile_$2585; -double Compile_$2756 = -646.383032445398308294407*Compile_$299; -double Compile_$2757 = 68547.1212289022319110342*Compile_$645; -double Compile_$2758 = -2.76923100533376015800164e6*Compile_$993; -double Compile_$2759 = 5.49381229979464384692012e7*Compile_$1343; -double Compile_$2760 = -5.91851175671181595257985e8*Compile_$1695; -double Compile_$2761 = 3.53218270591424899902621e9*Compile_$2049; -double Compile_$2762 = -1.09766488875002153932428e10*Compile_$2405; -double Compile_$2763 = pow(Compile_$298,16); -double Compile_$2764 = 1.38576554570132753354914e10*Compile_$2763; -double Compile_$2765 = 1. + Compile_$2756 + Compile_$2757 + Compile_$2758 + Compile_$2759 + Compile_$2760 + Compile_$2761 + Compile_$2762 + Compile_$2764; -result = (0.31511929367485425 - 0.010534511420764576*Compile_$11 + 0.0003866566644757277*Compile_$115 - 7.387279027891336e-7*Compile_$11*Compile_$115 + 0.00005284505423017738*Compile_$1170 - 9.756798246815044e-6*Compile_$11*Compile_$1170 - 9.962730106952603e-6*Compile_$115*Compile_$1170 + 2.3609690648783137e-7*Compile_$11*Compile_$115*Compile_$1170 + 0.000022579134819473184*Compile_$133 + 1.3646307889969406e-7*Compile_$11*Compile_$133 - 3.211627329078484e-6*Compile_$1170*Compile_$133 + 4.644123213918226e-8*Compile_$11*Compile_$1170*Compile_$133 + 4.963039116160961e-6*Compile_$1345 - 5.243750214955207e-6*Compile_$11*Compile_$1345 - 2.9861989169817834e-6*Compile_$115*Compile_$1345 + 7.414971648744537e-7*Compile_$11*Compile_$115*Compile_$1345 + 8.769343793724939e-7*Compile_$133*Compile_$1345 + 3.0121663173553827e-8*Compile_$11*Compile_$133*Compile_$1345 + 0.00002627148438449573*Compile_$151 - 7.823169918268862e-7*Compile_$11*Compile_$151 + 4.861775439994969e-6*Compile_$1170*Compile_$151 - 5.5774910513671424e-8*Compile_$11*Compile_$1170*Compile_$151 + 3.149160714832315e-6*Compile_$1345*Compile_$151 - 3.097232157489015e-8*Compile_$11*Compile_$1345*Compile_$151 - 3.790105173860721e-7*Compile_$1521 - 1.7331831276439895e-6*Compile_$11*Compile_$1521 - 1.2853520691699047e-6*Compile_$115*Compile_$1521 + 5.213079697701501e-7*Compile_$11*Compile_$115*Compile_$1521 + 1.6936358889122006e-6*Compile_$133*Compile_$1521 - 5.6923135076379554e-8*Compile_$11*Compile_$133*Compile_$1521 + 1.6158625120833216e-6*Compile_$151*Compile_$1521 - 3.168548610832115e-8*Compile_$11*Compile_$151*Compile_$1521 - 0.005100809549280976*Compile_$16 + 5.222329723432263e-6*Compile_$115*Compile_$16 - 2.004554529853869e-6*Compile_$1170*Compile_$16 - 7.280981944729346e-8*Compile_$115*Compile_$1170*Compile_$16 + 7.481580568437265e-8*Compile_$133*Compile_$16 - 1.796252454552361e-7*Compile_$1170*Compile_$133*Compile_$16 - 1.583209234172254e-6*Compile_$1345*Compile_$16 + 1.034265208353398e-7*Compile_$115*Compile_$1345*Compile_$16 - 1.4333132413593406e-7*Compile_$133*Compile_$1345*Compile_$16 + 1.190003045700776e-7*Compile_$151*Compile_$16 - 4.7833230438668705e-8*Compile_$1170*Compile_$151*Compile_$16 - 5.1408409905304566e-8*Compile_$1345*Compile_$151*Compile_$16 - 5.496203168676525e-7*Compile_$1521*Compile_$16 + 3.2774254929525997e-8*Compile_$115*Compile_$1521*Compile_$16 - 1.1641709138931964e-7*Compile_$133*Compile_$1521*Compile_$16 - 4.469516042621517e-8*Compile_$151*Compile_$1521*Compile_$16 + 2.189194635767458e-6*Compile_$1697 - 9.249165985880245e-7*Compile_$11*Compile_$1697 - 1.6129230733030286e-6*Compile_$115*Compile_$1697 + 3.6297501822489664e-7*Compile_$11*Compile_$115*Compile_$1697 + 1.371702595373941e-6*Compile_$133*Compile_$1697 - 5.088913319335634e-8*Compile_$11*Compile_$133*Compile_$1697 + 5.920677953560245e-7*Compile_$151*Compile_$1697 - 7.03063413240645e-9*Compile_$11*Compile_$151*Compile_$1697 - 5.000481756349871e-7*Compile_$16*Compile_$1697 + 7.860003860441016e-8*Compile_$115*Compile_$16*Compile_$1697 - 4.329180601668212e-8*Compile_$133*Compile_$16*Compile_$1697 - 1.553376778758362e-8*Compile_$151*Compile_$16*Compile_$1697 - 6.0578880027803405e-6*Compile_$170 - 6.935240130483798e-8*Compile_$11*Compile_$170 - 2.5366791023192615e-6*Compile_$1170*Compile_$170 + 1.8288464068757704e-7*Compile_$11*Compile_$1170*Compile_$170 - 1.7081447832847377e-6*Compile_$1345*Compile_$170 + 6.826435422827262e-8*Compile_$11*Compile_$1345*Compile_$170 - 1.1972225562375536e-6*Compile_$1521*Compile_$170 - 1.4773963609582908e-8*Compile_$11*Compile_$1521*Compile_$170 - 1.4117622352628307e-7*Compile_$16*Compile_$170 + 5.242754940734283e-8*Compile_$1170*Compile_$16*Compile_$170 - 9.750089543812807e-9*Compile_$1345*Compile_$16*Compile_$170 - 5.316475130991139e-8*Compile_$1521*Compile_$16*Compile_$170 - 8.119006882312843e-7*Compile_$1697*Compile_$170 - 4.175080705438592e-8*Compile_$11*Compile_$1697*Compile_$170 - 5.535300044879832e-8*Compile_$16*Compile_$1697*Compile_$170 + 2.401887547095612e-6*Compile_$1874 - 3.5072292335992147e-7*Compile_$11*Compile_$1874 - 1.9753360244512337e-6*Compile_$115*Compile_$1874 + 2.335231470135175e-7*Compile_$11*Compile_$115*Compile_$1874 + 9.496089048430781e-7*Compile_$133*Compile_$1874 - 2.0592739980214876e-8*Compile_$11*Compile_$133*Compile_$1874 + 6.217993405999119e-8*Compile_$151*Compile_$1874 + 1.8028508691935002e-8*Compile_$11*Compile_$151*Compile_$1874 - 2.1128290279232895e-7*Compile_$16*Compile_$1874 + 8.484567306102157e-8*Compile_$115*Compile_$16*Compile_$1874 + 1.5428173169558145e-8*Compile_$133*Compile_$16*Compile_$1874 + 9.718307891495932e-9*Compile_$151*Compile_$16*Compile_$1874 - 4.908977226959964e-7*Compile_$170*Compile_$1874 - 1.4650421105034574e-8*Compile_$11*Compile_$170*Compile_$1874 - 1.23065110510914e-8*Compile_$16*Compile_$170*Compile_$1874 + 2.8731700547772415e-6*Compile_$189 + 3.703887411266573e-8*Compile_$11*Compile_$189 + 1.8721691377934179e-6*Compile_$1170*Compile_$189 - 3.761767238995841e-8*Compile_$11*Compile_$1170*Compile_$189 + 1.3277596931658525e-6*Compile_$1345*Compile_$189 - 4.506252540172483e-8*Compile_$11*Compile_$1345*Compile_$189 + 8.901514838239083e-7*Compile_$1521*Compile_$189 - 5.4734037627600765e-8*Compile_$11*Compile_$1521*Compile_$189 + 1.7999241009590278e-7*Compile_$16*Compile_$189 + 1.0464027248444164e-8*Compile_$1170*Compile_$16*Compile_$189 - 9.068237260520334e-9*Compile_$1345*Compile_$16*Compile_$189 - 2.958987771094784e-8*Compile_$1521*Compile_$16*Compile_$189 + 5.811271618825637e-7*Compile_$1697*Compile_$189 - 5.269023884027587e-8*Compile_$11*Compile_$1697*Compile_$189 - 3.710522157272634e-8*Compile_$16*Compile_$1697*Compile_$189 + 3.7688932868207104e-7*Compile_$1874*Compile_$189 - 4.446874514413149e-8*Compile_$11*Compile_$1874*Compile_$189 - 3.829036691687132e-8*Compile_$16*Compile_$1874*Compile_$189 - 0.08789569809406951*Compile_$2 - 0.0004110224229584456*Compile_$115*Compile_$2 - 0.00001151042115285804*Compile_$1170*Compile_$2 + 5.824540567351889e-6*Compile_$115*Compile_$1170*Compile_$2 - 0.00002898474749865599*Compile_$133*Compile_$2 + 2.0592656509062876e-6*Compile_$1170*Compile_$133*Compile_$2 + 0.000010743308245508452*Compile_$1345*Compile_$2 - 8.666776559984398e-7*Compile_$115*Compile_$1345*Compile_$2 - 1.2675690557124572e-6*Compile_$133*Compile_$1345*Compile_$2 - 0.00001591917798885025*Compile_$151*Compile_$2 - 4.381948706134729e-6*Compile_$1170*Compile_$151*Compile_$2 - 3.0597635998333425e-6*Compile_$1345*Compile_$151*Compile_$2 + 6.9588507571168545e-6*Compile_$1521*Compile_$2 - 1.5683950932284687e-6*Compile_$115*Compile_$1521*Compile_$2 - 1.654283628107222e-6*Compile_$133*Compile_$1521*Compile_$2 - 1.6877687374212119e-6*Compile_$151*Compile_$1521*Compile_$2 - 5.450309203592277e-8*Compile_$1697*Compile_$2 - 1.206089739736748e-7*Compile_$115*Compile_$1697*Compile_$2 - 1.063229065091135e-6*Compile_$133*Compile_$1697*Compile_$2 - 6.714827338636671e-7*Compile_$151*Compile_$1697*Compile_$2 + 3.306536973655334e-6*Compile_$170*Compile_$2 + 1.5883805682028194e-6*Compile_$1170*Compile_$170*Compile_$2 + 1.1138620701291193e-6*Compile_$1345*Compile_$170*Compile_$2 + 8.206846811506778e-7*Compile_$1521*Compile_$170*Compile_$2 + 5.960980203804295e-7*Compile_$1697*Compile_$170*Compile_$2 - 2.2582274389802315e-6*Compile_$1874*Compile_$2 + 1.1584700579683468e-6*Compile_$115*Compile_$1874*Compile_$2 - 5.211143215891612e-7*Compile_$133*Compile_$1874*Compile_$2 - 1.0358355473858727e-7*Compile_$151*Compile_$1874*Compile_$2 + 4.1647732626194337e-7*Compile_$170*Compile_$1874*Compile_$2 - 1.2386725304780084e-6*Compile_$189*Compile_$2 - 1.2591040362354628e-6*Compile_$1170*Compile_$189*Compile_$2 - 9.242462493579048e-7*Compile_$1345*Compile_$189*Compile_$2 - 6.533010566038818e-7*Compile_$1521*Compile_$189*Compile_$2 - 4.5371685063084094e-7*Compile_$1697*Compile_$189*Compile_$2 - 3.1456945192640434e-7*Compile_$1874*Compile_$189*Compile_$2 + 1.4028468834250378e-6*Compile_$2051 - 8.860172608724572e-7*Compile_$11*Compile_$2051 - 1.9057971052022285e-6*Compile_$115*Compile_$2051 + 7.988845952332209e-8*Compile_$11*Compile_$115*Compile_$2051 + 7.059335208505583e-7*Compile_$133*Compile_$2051 + 4.15527221334091e-8*Compile_$11*Compile_$133*Compile_$2051 - 1.5333427742729124e-7*Compile_$151*Compile_$2051 + 1.4829046310803152e-8*Compile_$11*Compile_$151*Compile_$2051 - 6.717874770104478e-7*Compile_$16*Compile_$2051 + 1.8662944793374815e-8*Compile_$115*Compile_$16*Compile_$2051 + 8.979211178968419e-8*Compile_$133*Compile_$16*Compile_$2051 + 8.66137717128435e-10*Compile_$151*Compile_$16*Compile_$2051 - 2.3364631421446946e-7*Compile_$170*Compile_$2051 + 5.1299991731576033e-8*Compile_$11*Compile_$170*Compile_$2051 + 6.516375630860784e-8*Compile_$16*Compile_$170*Compile_$2051 + 2.343202068842174e-7*Compile_$189*Compile_$2051 - 5.7968609815554985e-8*Compile_$11*Compile_$189*Compile_$2051 - 6.339705612303789e-8*Compile_$16*Compile_$189*Compile_$2051 - 3.099627579354819e-6*Compile_$2*Compile_$2051 + 1.5145751427915763e-6*Compile_$115*Compile_$2*Compile_$2051 - 2.5581399047733317e-7*Compile_$133*Compile_$2*Compile_$2051 + 1.1387176778238622e-7*Compile_$151*Compile_$2*Compile_$2051 + 2.9334366802924754e-7*Compile_$170*Compile_$2*Compile_$2051 - 2.3649798489397615e-7*Compile_$189*Compile_$2*Compile_$2051 - 1.753850434599898e-6*Compile_$209 - 6.543830302577364e-7*Compile_$11*Compile_$209 - 8.639872877893795e-7*Compile_$1170*Compile_$209 + 8.874687447237291e-8*Compile_$11*Compile_$1170*Compile_$209 - 6.886058082424274e-7*Compile_$1345*Compile_$209 + 6.45133100672308e-8*Compile_$11*Compile_$1345*Compile_$209 - 5.383612249522423e-7*Compile_$1521*Compile_$209 + 3.8800540310153756e-8*Compile_$11*Compile_$1521*Compile_$209 - 5.11724619408547e-7*Compile_$16*Compile_$209 + 5.199225557890615e-8*Compile_$1170*Compile_$16*Compile_$209 + 3.8603911807100844e-8*Compile_$1345*Compile_$16*Compile_$209 + 2.1419207710415762e-8*Compile_$1521*Compile_$16*Compile_$209 - 4.092102266108568e-7*Compile_$1697*Compile_$209 + 1.740027517255277e-8*Compile_$11*Compile_$1697*Compile_$209 + 5.446995712236827e-9*Compile_$16*Compile_$1697*Compile_$209 - 3.007294062231447e-7*Compile_$1874*Compile_$209 + 2.827243696977979e-9*Compile_$11*Compile_$1874*Compile_$209 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5.311618968583333e-8*Compile_$170*Compile_$58*Compile_$995 + 5.264619592505039e-8*Compile_$189*Compile_$58*Compile_$995 + 5.156676244473595e-8*Compile_$209*Compile_$58*Compile_$995 + 5.641507353137005e-9*Compile_$229*Compile_$58*Compile_$995 - 1.6682149069949435e-9*Compile_$250*Compile_$58*Compile_$995 + 2.547616304903064e-8*Compile_$271*Compile_$58*Compile_$995 - 0.00007601251866617064*Compile_$6*Compile_$995 + 5.323184053285466e-7*Compile_$115*Compile_$6*Compile_$995 + 1.973692989130809e-6*Compile_$133*Compile_$6*Compile_$995 - 7.487883826784976e-7*Compile_$151*Compile_$6*Compile_$995 + 9.614452727307342e-7*Compile_$170*Compile_$6*Compile_$995 - 3.021682343997615e-7*Compile_$189*Compile_$6*Compile_$995 + 2.5731063031683233e-7*Compile_$209*Compile_$6*Compile_$995 - 6.516891731546021e-8*Compile_$229*Compile_$6*Compile_$995 + 1.4121319323953072e-7*Compile_$250*Compile_$6*Compile_$995 - 1.8347668034501922e-8*Compile_$271*Compile_$6*Compile_$995 + 1.8267122707432554e-7*Compile_$67*Compile_$995 - 1.1144934922658746e-7*Compile_$115*Compile_$67*Compile_$995 - 7.507311222752858e-8*Compile_$133*Compile_$67*Compile_$995 - 9.93175091061007e-9*Compile_$151*Compile_$67*Compile_$995 + 5.367696765738179e-8*Compile_$170*Compile_$67*Compile_$995 + 5.227511132349733e-8*Compile_$189*Compile_$67*Compile_$995 + 5.473959407330938e-8*Compile_$209*Compile_$67*Compile_$995 + 6.311770287210103e-9*Compile_$229*Compile_$67*Compile_$995 - 5.7583350726281314e-9*Compile_$250*Compile_$67*Compile_$995 + 2.2832899059573913e-8*Compile_$271*Compile_$67*Compile_$995 + 6.848502824549448e-8*Compile_$76*Compile_$995 - 5.4512824823118894e-8*Compile_$115*Compile_$76*Compile_$995 - 3.6737764240142e-8*Compile_$133*Compile_$76*Compile_$995 - 4.809083615100725e-9*Compile_$151*Compile_$76*Compile_$995 + 2.686229541538885e-8*Compile_$170*Compile_$76*Compile_$995 + 2.586746031510302e-8*Compile_$189*Compile_$76*Compile_$995 + 2.7912684990833335e-8*Compile_$209*Compile_$76*Compile_$995 + 3.385539580303487e-9*Compile_$229*Compile_$76*Compile_$995 - 4.046481156807463e-9*Compile_$250*Compile_$76*Compile_$995 + 1.0413640914625474e-8*Compile_$271*Compile_$76*Compile_$995 + 0.00024072006317858044*Compile_$78*Compile_$995 - 0.00006743678047934192*Compile_$11*Compile_$78*Compile_$995 + 3.0410241890537148e-6*Compile_$16*Compile_$78*Compile_$995 + 0.00007637742091374891*Compile_$2*Compile_$78*Compile_$995 + 0.00001589446834423275*Compile_$22*Compile_$78*Compile_$995 + 0.00001325579338285424*Compile_$28*Compile_$78*Compile_$995 + 9.448556982592575e-6*Compile_$35*Compile_$78*Compile_$995 + 6.316782582183487e-6*Compile_$42*Compile_$78*Compile_$995 + 4.807018284030701e-6*Compile_$50*Compile_$78*Compile_$995 + 3.5758832854423894e-6*Compile_$58*Compile_$78*Compile_$995 - 0.00022613828429783755*Compile_$6*Compile_$78*Compile_$995 + 3.3045929493195494e-6*Compile_$67*Compile_$78*Compile_$995 + 1.4656654369669755e-6*Compile_$76*Compile_$78*Compile_$995 - 0.0002706005300151082*Compile_$81*Compile_$995 - 7.781757743555656e-6*Compile_$11*Compile_$81*Compile_$995 - 2.17749922013368e-6*Compile_$16*Compile_$81*Compile_$995 + 0.00027589320461755606*Compile_$2*Compile_$81*Compile_$995 + 7.439742248686149e-8*Compile_$22*Compile_$81*Compile_$995 + 4.4680115417772467e-7*Compile_$28*Compile_$81*Compile_$995 + 3.3653161962513097e-7*Compile_$35*Compile_$81*Compile_$995 + 1.6554695474968915e-7*Compile_$42*Compile_$81*Compile_$995 + 8.370641630679979e-8*Compile_$50*Compile_$81*Compile_$995 + 6.973691834678914e-9*Compile_$58*Compile_$81*Compile_$995 + 0.000010562229022837807*Compile_$6*Compile_$81*Compile_$995 + 2.818531632926679e-9*Compile_$67*Compile_$81*Compile_$995 - 1.2426570265074825e-8*Compile_$76*Compile_$81*Compile_$995 - 0.000047551430205296685*Compile_$98*Compile_$995 - 8.444565018555185e-6*Compile_$11*Compile_$98*Compile_$995 - 3.179836511265494e-6*Compile_$16*Compile_$98*Compile_$995 + 0.00007358890158869946*Compile_$2*Compile_$98*Compile_$995 - 1.0748120793586165e-6*Compile_$22*Compile_$98*Compile_$995 - 4.0551838692053017e-7*Compile_$28*Compile_$98*Compile_$995 - 2.5027389944766045e-7*Compile_$35*Compile_$98*Compile_$995 - 2.0896730782681948e-7*Compile_$42*Compile_$98*Compile_$995 - 1.976290480055206e-7*Compile_$50*Compile_$98*Compile_$995 - 1.8892186568560823e-7*Compile_$58*Compile_$98*Compile_$995 - 8.915610453351643e-6*Compile_$6*Compile_$98*Compile_$995 - 1.827649432470298e-7*Compile_$67*Compile_$98*Compile_$995 - 9.092859348189842e-8*Compile_$76*Compile_$98*Compile_$995)/pow(p,4); -return result; -} - -double Ldot_SC(const double a, const double e, const double r, const double p){ - double result; -double Compile_$4 = pow(a,2); -double Compile_$9 = pow(a,3); -double Compile_$14 = pow(a,4); -double Compile_$20 = pow(a,5); -double Compile_$26 = pow(a,6); -double Compile_$33 = pow(a,7); -double Compile_$40 = pow(a,8); -double Compile_$48 = pow(a,9); -double Compile_$56 = pow(a,10); -double Compile_$2 = 0.e-24 + a; -double Compile_$78 = -0.25 + e; -double Compile_$79 = pow(Compile_$78,2); -double Compile_$80 = 32.*Compile_$79; -double Compile_$81 = -1. + Compile_$80; -double Compile_$5 = 2.04060810121416182022243*Compile_$4; -double Compile_$6 = -1. + Compile_$5; -double Compile_$8 = -3.0303030303030303030303*a; -double Compile_$10 = 4.12244060851345822267157*Compile_$9; -double Compile_$11 = Compile_$10 + Compile_$8; -double Compile_$13 = -8.16243240485664728088971*Compile_$4; -double Compile_$15 = 8.32816284548173378317489*Compile_$14; -double Compile_$16 = 1. + Compile_$13 + Compile_$15; -double Compile_$18 = 5.05050505050505050505051*a; -double Compile_$19 = -20.6122030425672911133578*Compile_$9; -double Compile_$21 = 16.8245714050136036023735*Compile_$20; -double Compile_$22 = Compile_$18 + Compile_$19 + Compile_$21; -double Compile_$24 = 18.3654729109274563820018*Compile_$4; -double Compile_$25 = -49.9689770728904026990493*Compile_$14; -double Compile_$27 = 33.9890331414416234391384*Compile_$26; -double Compile_$28 = -1. + Compile_$24 + Compile_$25 + Compile_$27; -double Compile_$30 = -7.07070707070707070707071*a; -double Compile_$31 = 57.714168519188415117402*Compile_$9; -double Compile_$32 = -117.771999835095225216615*Compile_$20; -double Compile_$34 = 68.6647134170537847255321*Compile_$33; -double Compile_$35 = Compile_$30 + Compile_$31 + Compile_$32 + Compile_$34; -double Compile_$37 = -32.6497296194265891235588*Compile_$4; -double Compile_$38 = 166.563256909634675663498*Compile_$14; -double Compile_$39 = -271.912265131532987513107*Compile_$26; -double Compile_$41 = 138.716592761724817627338*Compile_$40; -double Compile_$42 = 1. + Compile_$37 + Compile_$38 + Compile_$39 + Compile_$41; -double Compile_$44 = 9.09090909090909090909091*a; -double Compile_$45 = -123.673218255403746680147*Compile_$9; -double Compile_$46 = 454.263427935367297264085*Compile_$20; -double Compile_$47 = -617.982420753484062529789*Compile_$33; -double Compile_$49 = 280.235540932777409348157*Compile_$48; -double Compile_$50 = Compile_$44 + Compile_$45 + Compile_$46 + Compile_$47 + Compile_$49; -double Compile_$52 = 51.0152025303540455055607*Compile_$4; -double Compile_$53 = -416.408142274086689158744*Compile_$14; -double Compile_$54 = 1189.61615995045682036984*Compile_$26; -double Compile_$55 = -1387.16592761724817627338*Compile_$40; -double Compile_$57 = 566.132405924802847167993*Compile_$56; -double Compile_$58 = -1. + Compile_$52 + Compile_$53 + Compile_$54 + Compile_$55 + Compile_$57; -double Compile_$60 = -11.1111111111111111111111*a; -double Compile_$61 = 226.734233468240202246936*Compile_$9; -double Compile_$62 = -1295.49199818604747738276*Compile_$20; -double Compile_$63 = 3021.24739035036652792341*Compile_$33; -double Compile_$64 = -3082.59095026055150282972*Compile_$48; -double Compile_$65 = pow(a,11); -double Compile_$66 = 1143.70183015111686296564*Compile_$65; -double Compile_$67 = Compile_$60 + Compile_$61 + Compile_$62 + Compile_$63 + Compile_$64 + Compile_$66; -double Compile_$69 = -73.4618916437098255280073*Compile_$4; -double Compile_$70 = 874.457098775582047233363*Compile_$14; -double Compile_$71 = -3806.7717118414618251835*Compile_$26; -double Compile_$72 = 7490.69600913314015187623*Compile_$40; -double Compile_$73 = -6793.58887109763416601592*Compile_$56; -double Compile_$74 = pow(a,12); -double Compile_$75 = 2310.50874778003406659726*Compile_$74; -double Compile_$76 = 1. + Compile_$69 + Compile_$70 + Compile_$71 + Compile_$72 + Compile_$73 + Compile_$75; -double Compile_$95 = -12.*Compile_$78; -double Compile_$96 = pow(Compile_$78,3); -double Compile_$97 = 256.*Compile_$96; -double Compile_$98 = Compile_$95 + Compile_$97; -double Compile_$112 = -128.*Compile_$79; -double Compile_$113 = pow(Compile_$78,4); -double Compile_$114 = 2048.*Compile_$113; -double Compile_$115 = 1. + Compile_$112 + Compile_$114; -double Compile_$129 = 20.*Compile_$78; -double Compile_$130 = -1280.*Compile_$96; -double Compile_$131 = pow(Compile_$78,5); -double Compile_$132 = 16384.*Compile_$131; -double Compile_$133 = Compile_$129 + Compile_$130 + Compile_$132; -double Compile_$147 = 288.*Compile_$79; -double Compile_$148 = -12288.*Compile_$113; -double Compile_$149 = pow(Compile_$78,6); -double Compile_$150 = 131072.*Compile_$149; -double Compile_$151 = -1. + Compile_$147 + Compile_$148 + Compile_$150; -double Compile_$165 = -28.*Compile_$78; -double Compile_$166 = 3584.*Compile_$96; -double Compile_$167 = -114688.*Compile_$131; -double Compile_$168 = pow(Compile_$78,7); -double Compile_$169 = 1.048576e6*Compile_$168; -double Compile_$170 = Compile_$165 + Compile_$166 + Compile_$167 + Compile_$169; -double Compile_$184 = -512.*Compile_$79; -double Compile_$185 = 40960.*Compile_$113; -double Compile_$186 = -1.048576e6*Compile_$149; -double Compile_$187 = pow(Compile_$78,8); -double Compile_$188 = 8.388608e6*Compile_$187; -double Compile_$189 = 1. + Compile_$184 + Compile_$185 + Compile_$186 + Compile_$188; -double Compile_$203 = 36.*Compile_$78; -double Compile_$204 = -7680.*Compile_$96; -double Compile_$205 = 442368.*Compile_$131; -double Compile_$206 = -9.437184e6*Compile_$168; -double Compile_$207 = pow(Compile_$78,9); -double Compile_$208 = 6.7108864e7*Compile_$207; -double Compile_$209 = Compile_$203 + Compile_$204 + Compile_$205 + Compile_$206 + Compile_$208; -double Compile_$223 = 800.*Compile_$79; -double Compile_$224 = -102400.*Compile_$113; -double Compile_$225 = 4.58752e6*Compile_$149; -double Compile_$226 = -8.388608e7*Compile_$187; -double Compile_$227 = pow(Compile_$78,10); -double Compile_$228 = 5.36870912e8*Compile_$227; -double Compile_$229 = -1. + Compile_$223 + Compile_$224 + Compile_$225 + Compile_$226 + Compile_$228; -double Compile_$243 = -44.*Compile_$78; -double Compile_$244 = 14080.*Compile_$96; -double Compile_$245 = -1.261568e6*Compile_$131; -double Compile_$246 = 4.6137344e7*Compile_$168; -double Compile_$247 = -7.38197504e8*Compile_$207; -double Compile_$248 = pow(Compile_$78,11); -double Compile_$249 = 4.294967296e9*Compile_$248; -double Compile_$250 = Compile_$243 + Compile_$244 + Compile_$245 + Compile_$246 + Compile_$247 + Compile_$249; -double Compile_$264 = -1152.*Compile_$79; -double Compile_$265 = 215040.*Compile_$113; -double Compile_$266 = -1.4680064e7*Compile_$149; -double Compile_$267 = 4.52984832e8*Compile_$187; -double Compile_$268 = -6.442450944e9*Compile_$227; -double Compile_$269 = pow(Compile_$78,12); -double Compile_$270 = 3.4359738368e10*Compile_$269; -double Compile_$271 = 1. + Compile_$264 + Compile_$265 + Compile_$266 + Compile_$267 + Compile_$268 + Compile_$270; -double Compile_$298 = -0.525 + r; -double Compile_$299 = pow(Compile_$298,2); -double Compile_$300 = 10.0997348819593485671001*Compile_$299; -double Compile_$301 = -1. + Compile_$300; -double Compile_$471 = -6.74157303370786516853933*Compile_$298; -double Compile_$472 = pow(Compile_$298,3); -double Compile_$473 = 45.3920668852105553577533*Compile_$472; -double Compile_$474 = Compile_$471 + Compile_$473; -double Compile_$644 = -40.3989395278373942684005*Compile_$299; -double Compile_$645 = pow(Compile_$298,4); -double Compile_$646 = 204.009289371732833068554*Compile_$645; -double Compile_$647 = 1. + Compile_$644 + Compile_$646; -double Compile_$817 = 11.2359550561797752808989*Compile_$298; -double Compile_$818 = -226.960334426052776788767*Compile_$472; -double Compile_$819 = pow(Compile_$298,5); -double Compile_$820 = 916.89568256958576660024*Compile_$819; -double Compile_$821 = Compile_$817 + Compile_$818 + Compile_$820; -double Compile_$991 = 90.897613937634137103901*Compile_$299; -double Compile_$992 = -1224.05573623039699841133*Compile_$645; -double Compile_$993 = pow(Compile_$298,6); -double Compile_$994 = 4120.87947222285737797862*Compile_$993; -double Compile_$995 = -1. + Compile_$991 + Compile_$992 + Compile_$994; -double Compile_$1165 = -15.7303370786516853932584*Compile_$298; -double Compile_$1166 = 635.488936392947775008546*Compile_$472; -double Compile_$1167 = -6418.26977798710036620171*Compile_$819; -double Compile_$1168 = pow(Compile_$298,7); -double Compile_$1169 = 18520.806616731943271814*Compile_$1168; -double Compile_$1170 = Compile_$1165 + Compile_$1166 + Compile_$1167 + Compile_$1169; -double Compile_$1340 = -161.595758111349577073602*Compile_$299; -double Compile_$1341 = 4080.18578743465666137108*Compile_$645; -double Compile_$1342 = -32967.035777782859023829*Compile_$993; -double Compile_$1343 = pow(Compile_$298,8); -double Compile_$1344 = 83239.5802999188461654564*Compile_$1343; -double Compile_$1345 = 1. + Compile_$1340 + Compile_$1341 + Compile_$1342 + Compile_$1344; -double Compile_$1515 = 20.224719101123595505618*Compile_$298; -double Compile_$1516 = -1361.7620065563166607326*Compile_$472; -double Compile_$1517 = 24756.1834293788156982066*Compile_$819; -double Compile_$1518 = -166687.259550587489446326*Compile_$1168; -double Compile_$1519 = pow(Compile_$298,9); -double Compile_$1520 = 374110.473258062229957107*Compile_$1519; -double Compile_$1521 = Compile_$1515 + Compile_$1516 + Compile_$1517 + Compile_$1518 + Compile_$1520; -double Compile_$1691 = 252.493372048983714177503*Compile_$299; -double Compile_$1692 = -10200.4644685866416534277*Compile_$645; -double Compile_$1693 = 144230.781527800008229252*Compile_$993; -double Compile_$1694 = -832395.802999188461654564*Compile_$1343; -double Compile_$1695 = pow(Compile_$298,10); -double Compile_$1696 = 1.68139538542949316834655e6*Compile_$1695; -double Compile_$1697 = -1. + Compile_$1691 + Compile_$1692 + Compile_$1693 + Compile_$1694 + Compile_$1696; -double Compile_$1867 = -24.7191011235955056179775*Compile_$298; -double Compile_$1868 = 2496.56367868658054467643*Compile_$472; -double Compile_$1869 = -70600.9675578581040282188*Compile_$819; -double Compile_$1870 = 814915.491136205503959818*Compile_$1168; -double Compile_$1871 = -4.11521520583868452952818e6*Compile_$1519; -double Compile_$1872 = pow(Compile_$298,11); -double Compile_$1873 = 7.55683319294154232964741e6*Compile_$1872; -double Compile_$1874 = Compile_$1867 + Compile_$1868 + Compile_$1869 + Compile_$1870 + Compile_$1871 + Compile_$1873; -double Compile_$2044 = -363.590455750536548415604*Compile_$299; -double Compile_$2045 = 21420.9753840319474721982*Compile_$645; -double Compile_$2046 = -461538.500888960026333606*Compile_$993; -double Compile_$2047 = 4.49493733619561769293464e6*Compile_$1343; -double Compile_$2048 = -2.01767446251539180201586e7*Compile_$1695; -double Compile_$2049 = pow(Compile_$298,12); -double Compile_$2050 = 3.39632952491754711444828e7*Compile_$2049; -double Compile_$2051 = 1. + Compile_$2044 + Compile_$2045 + Compile_$2046 + Compile_$2047 + Compile_$2048 + Compile_$2050; -double Compile_$2221 = 29.2134831460674157303371*Compile_$298; -double Compile_$2222 = -4130.67808655416053755555*Compile_$472; -double Compile_$2223 = 166875.014227664609521244*Compile_$819; -double Compile_$2224 = -2.88924583221018315040299e6*Compile_$1168; -double Compile_$2225 = 2.4317180761774044947212e7*Compile_$1519; -double Compile_$2226 = -9.8238831508240050285416e7*Compile_$1872; -double Compile_$2227 = pow(Compile_$298,13); -double Compile_$2228 = 1.52644023591799870312282e8*Compile_$2227; -double Compile_$2229 = Compile_$2221 + Compile_$2222 + Compile_$2223 + Compile_$2224 + Compile_$2225 + Compile_$2226 + Compile_$2228; -double Compile_$2399 = 494.887009216008079787906*Compile_$299; -double Compile_$2400 = -39985.8207168596352814366*Compile_$645; -double Compile_$2401 = 1.21153856483352006912572e6*Compile_$993; -double Compile_$2402 = -1.74803118629829576947458e7*Compile_$1343; -double Compile_$2403 = 1.29467444678070973962684e8*Compile_$1695; -double Compile_$2404 = -4.75486133488456596022759e8*Compile_$2049; -double Compile_$2405 = pow(Compile_$298,14); -double Compile_$2406 = 6.86040555468763462077672e8*Compile_$2405; -double Compile_$2407 = -1. + Compile_$2399 + Compile_$2400 + Compile_$2401 + Compile_$2402 + Compile_$2403 + Compile_$2404 + Compile_$2406; -double Compile_$2577 = -33.7078651685393258426966*Compile_$298; -double Compile_$2578 = 6354.88936392947775008546*Compile_$472; -double Compile_$2579 = -346586.568011303419774892*Compile_$819; -double Compile_$2580 = 8.33436297752937447231632e6*Compile_$1168; -double Compile_$2581 = -1.02880380145967113238204e8*Compile_$1519; -double Compile_$2582 = 6.80114987364738809668267e8*Compile_$1872; -double Compile_$2583 = -2.28966035387699805468423e9*Compile_$2227; -double Compile_$2584 = pow(Compile_$298,15); -double Compile_$2585 = 3.08332833918545376214684e9*Compile_$2584; -double Compile_$2586 = Compile_$2577 + Compile_$2578 + Compile_$2579 + Compile_$2580 + Compile_$2581 + Compile_$2582 + Compile_$2583 + Compile_$2585; -double Compile_$2756 = -646.383032445398308294407*Compile_$299; -double Compile_$2757 = 68547.1212289022319110342*Compile_$645; -double Compile_$2758 = -2.76923100533376015800164e6*Compile_$993; -double Compile_$2759 = 5.49381229979464384692012e7*Compile_$1343; -double Compile_$2760 = -5.91851175671181595257985e8*Compile_$1695; -double Compile_$2761 = 3.53218270591424899902621e9*Compile_$2049; -double Compile_$2762 = -1.09766488875002153932428e10*Compile_$2405; -double Compile_$2763 = pow(Compile_$298,16); -double Compile_$2764 = 1.38576554570132753354914e10*Compile_$2763; -double Compile_$2765 = 1. + Compile_$2756 + Compile_$2757 + Compile_$2758 + Compile_$2759 + Compile_$2760 + Compile_$2761 + Compile_$2762 + Compile_$2764; -result = (0.28375870792735186 - 0.009061332809873457*Compile_$11 + 0.0002544229745846457*Compile_$115 - 1.8480268363160226e-6*Compile_$11*Compile_$115 + 0.0000264331445205974*Compile_$1170 - 4.829929244309351e-6*Compile_$11*Compile_$1170 - 2.59190022180582e-6*Compile_$115*Compile_$1170 + 4.0016023377573416e-7*Compile_$11*Compile_$115*Compile_$1170 - 7.24538138150442e-6*Compile_$133 - 4.855214201777767e-7*Compile_$11*Compile_$133 - 1.1567097572675241e-6*Compile_$1170*Compile_$133 + 4.9722404212910436e-8*Compile_$11*Compile_$1170*Compile_$133 + 6.427162610664608e-6*Compile_$1345 - 3.1005549202876405e-6*Compile_$11*Compile_$1345 - 1.1696646115738365e-6*Compile_$115*Compile_$1345 + 4.496353593816001e-7*Compile_$11*Compile_$115*Compile_$1345 + 4.7186274897140915e-7*Compile_$133*Compile_$1345 - 1.6111270683139532e-9*Compile_$11*Compile_$133*Compile_$1345 + 0.000012927947699395512*Compile_$151 - 3.751924770926463e-7*Compile_$11*Compile_$151 + 3.09598365610472e-6*Compile_$1170*Compile_$151 - 8.996539397556199e-8*Compile_$11*Compile_$1170*Compile_$151 + 1.782592346186336e-6*Compile_$1345*Compile_$151 - 4.4272067199240426e-8*Compile_$11*Compile_$1345*Compile_$151 + 1.8324958347066465e-6*Compile_$1521 - 1.2885727302451186e-6*Compile_$11*Compile_$1521 - 1.331118989598626e-6*Compile_$115*Compile_$1521 + 4.0025282321324433e-7*Compile_$11*Compile_$115*Compile_$1521 + 7.392231467271927e-7*Compile_$133*Compile_$1521 - 2.641463819020449e-8*Compile_$11*Compile_$133*Compile_$1521 + 8.260972719776243e-7*Compile_$151*Compile_$1521 - 2.0838620221816144e-8*Compile_$11*Compile_$151*Compile_$1521 - 0.004585580732979029*Compile_$16 + 2.3956512021242763e-6*Compile_$115*Compile_$16 - 1.218233389108219e-6*Compile_$1170*Compile_$16 + 4.327616072345925e-8*Compile_$115*Compile_$1170*Compile_$16 - 4.955529479450633e-7*Compile_$133*Compile_$16 - 1.0156539145817496e-7*Compile_$1170*Compile_$133*Compile_$16 - 1.3757034758409322e-6*Compile_$1345*Compile_$16 + 9.575743981798152e-8*Compile_$115*Compile_$1345*Compile_$16 - 7.195626476846963e-8*Compile_$133*Compile_$1345*Compile_$16 + 1.671728583692076e-7*Compile_$151*Compile_$16 - 5.0588767029740146e-8*Compile_$1170*Compile_$151*Compile_$16 - 2.8822204117517553e-8*Compile_$1345*Compile_$151*Compile_$16 - 5.943627929639102e-7*Compile_$1521*Compile_$16 + 1.292800723807938e-7*Compile_$115*Compile_$1521*Compile_$16 - 4.394189280099376e-8*Compile_$133*Compile_$1521*Compile_$16 - 1.6868887703655003e-8*Compile_$151*Compile_$1521*Compile_$16 + 2.2943571084679216e-6*Compile_$1697 - 3.214328003122095e-7*Compile_$11*Compile_$1697 - 1.6920625998793428e-6*Compile_$115*Compile_$1697 + 2.63668660826142e-7*Compile_$11*Compile_$115*Compile_$1697 + 6.175161696303526e-7*Compile_$133*Compile_$1697 - 4.1392065215102305e-8*Compile_$11*Compile_$133*Compile_$1697 + 2.66597773734654e-7*Compile_$151*Compile_$1697 - 9.467725420771398e-9*Compile_$11*Compile_$151*Compile_$1697 - 1.2909381832313955e-7*Compile_$16*Compile_$1697 + 9.296140703024247e-8*Compile_$115*Compile_$16*Compile_$1697 - 2.5424819715235375e-8*Compile_$133*Compile_$16*Compile_$1697 - 1.0288554944363697e-8*Compile_$151*Compile_$16*Compile_$1697 - 4.473935387670377e-6*Compile_$170 - 3.069645922141976e-7*Compile_$11*Compile_$170 - 1.7005936473799273e-6*Compile_$1170*Compile_$170 + 1.1638157427564834e-7*Compile_$11*Compile_$1170*Compile_$170 - 1.1869538529946824e-6*Compile_$1345*Compile_$170 + 5.092457616790701e-8*Compile_$11*Compile_$1345*Compile_$170 - 8.180714245189301e-7*Compile_$1521*Compile_$170 + 1.197087667639009e-9*Compile_$11*Compile_$1521*Compile_$170 - 3.5922310158889567e-7*Compile_$16*Compile_$170 + 3.932847319198466e-8*Compile_$1170*Compile_$16*Compile_$170 + 3.791926086690722e-9*Compile_$1345*Compile_$16*Compile_$170 - 2.3300871704075597e-8*Compile_$1521*Compile_$16*Compile_$170 - 5.270073635631281e-7*Compile_$1697*Compile_$170 - 1.6498757104125793e-8*Compile_$11*Compile_$1697*Compile_$170 - 2.425155390185046e-8*Compile_$16*Compile_$1697*Compile_$170 + 1.4405940448660285e-6*Compile_$1874 - 2.687290735504041e-7*Compile_$11*Compile_$1874 - 1.6938547718516236e-6*Compile_$115*Compile_$1874 + 1.1140556071492122e-7*Compile_$11*Compile_$115*Compile_$1874 + 5.049467221362318e-7*Compile_$133*Compile_$1874 - 1.8665421954936376e-8*Compile_$11*Compile_$133*Compile_$1874 + 1.7259936331693514e-9*Compile_$151*Compile_$1874 - 1.0801218797073879e-8*Compile_$11*Compile_$151*Compile_$1874 - 2.164037641236395e-7*Compile_$16*Compile_$1874 + 2.5899010158519777e-8*Compile_$115*Compile_$16*Compile_$1874 + 1.6835820424935788e-8*Compile_$133*Compile_$16*Compile_$1874 - 1.7133424963916838e-8*Compile_$151*Compile_$16*Compile_$1874 - 2.9322667890849144e-7*Compile_$170*Compile_$1874 + 9.868526562099389e-9*Compile_$11*Compile_$170*Compile_$1874 + 1.5111824440947264e-8*Compile_$16*Compile_$170*Compile_$1874 + 1.9410386969146e-6*Compile_$189 + 3.160986038630874e-7*Compile_$11*Compile_$189 + 1.1508760148635525e-6*Compile_$1170*Compile_$189 - 3.531761431844739e-8*Compile_$11*Compile_$1170*Compile_$189 + 8.128112257428174e-7*Compile_$1345*Compile_$189 - 3.6172530821642385e-8*Compile_$11*Compile_$1345*Compile_$189 + 5.550070443192591e-7*Compile_$1521*Compile_$189 - 3.705194224864638e-8*Compile_$11*Compile_$1521*Compile_$189 + 3.672800009647427e-7*Compile_$16*Compile_$189 - 3.0343182835137e-10*Compile_$1170*Compile_$16*Compile_$189 - 1.04523487793057e-8*Compile_$1345*Compile_$16*Compile_$189 - 1.9772823951234316e-8*Compile_$1521*Compile_$16*Compile_$189 + 3.723862810782065e-7*Compile_$1697*Compile_$189 - 3.631684780851497e-8*Compile_$11*Compile_$1697*Compile_$189 - 2.680051960571491e-8*Compile_$16*Compile_$1697*Compile_$189 + 2.4167784136110437e-7*Compile_$1874*Compile_$189 - 4.567870505992312e-8*Compile_$11*Compile_$1874*Compile_$189 - 4.521180771419518e-8*Compile_$16*Compile_$1874*Compile_$189 - 0.06429000264718192*Compile_$2 - 0.00012980779654773154*Compile_$115*Compile_$2 - 1.9581456243250496e-6*Compile_$1170*Compile_$2 - 2.199376778970952e-7*Compile_$115*Compile_$1170*Compile_$2 + 1.7630271502098165e-7*Compile_$133*Compile_$2 + 5.601661072108996e-7*Compile_$1170*Compile_$133*Compile_$2 + 4.801142470789168e-6*Compile_$1345*Compile_$2 - 1.568636463748699e-6*Compile_$115*Compile_$1345*Compile_$2 - 5.987055578463552e-7*Compile_$133*Compile_$1345*Compile_$2 - 5.844820695703606e-6*Compile_$151*Compile_$2 - 2.5670388869547425e-6*Compile_$1170*Compile_$151*Compile_$2 - 1.6122517691645515e-6*Compile_$1345*Compile_$151*Compile_$2 + 1.3575503113064307e-6*Compile_$1521*Compile_$2 - 6.219301440434767e-7*Compile_$115*Compile_$1521*Compile_$2 - 5.657738819178693e-7*Compile_$133*Compile_$1521*Compile_$2 - 8.007513931995424e-7*Compile_$151*Compile_$1521*Compile_$2 - 1.031963223394023e-6*Compile_$1697*Compile_$2 + 5.679320687252788e-7*Compile_$115*Compile_$1697*Compile_$2 - 2.984241959598145e-7*Compile_$133*Compile_$1697*Compile_$2 - 2.872269001485496e-7*Compile_$151*Compile_$1697*Compile_$2 + 1.75636176764094e-6*Compile_$170*Compile_$2 + 9.996106916518586e-7*Compile_$1170*Compile_$170*Compile_$2 + 7.475923583023793e-7*Compile_$1345*Compile_$170*Compile_$2 + 5.487872155168958e-7*Compile_$1521*Compile_$170*Compile_$2 + 3.7702302207842877e-7*Compile_$1697*Compile_$170*Compile_$2 - 1.6573295096170167e-6*Compile_$1874*Compile_$2 + 1.1195561656773335e-6*Compile_$115*Compile_$1874*Compile_$2 - 1.4215803344199382e-7*Compile_$133*Compile_$1874*Compile_$2 - 4.598792401984949e-8*Compile_$151*Compile_$1874*Compile_$2 + 2.528702939533307e-7*Compile_$170*Compile_$1874*Compile_$2 - 3.193044168332701e-7*Compile_$189*Compile_$2 - 6.70016998745362e-7*Compile_$1170*Compile_$189*Compile_$2 - 4.965041200592722e-7*Compile_$1345*Compile_$189*Compile_$2 - 3.601427429212588e-7*Compile_$1521*Compile_$189*Compile_$2 - 2.627687227148963e-7*Compile_$1697*Compile_$189*Compile_$2 - 2.0251962600817772e-7*Compile_$1874*Compile_$189*Compile_$2 + 3.7063117784068297e-7*Compile_$2051 - 1.1374249571031008e-6*Compile_$11*Compile_$2051 - 1.4000275741703606e-6*Compile_$115*Compile_$2051 - 3.2751297840177e-8*Compile_$11*Compile_$115*Compile_$2051 + 4.7045889004074153e-7*Compile_$133*Compile_$2051 + 6.541217456732282e-8*Compile_$11*Compile_$133*Compile_$2051 - 1.1388161417669118e-7*Compile_$151*Compile_$2051 - 5.3154206275281413e-8*Compile_$11*Compile_$151*Compile_$2051 - 9.421197294882249e-7*Compile_$16*Compile_$2051 - 7.015737549506778e-8*Compile_$115*Compile_$16*Compile_$2051 + 1.0978771534395867e-7*Compile_$133*Compile_$16*Compile_$2051 - 7.095009173807739e-8*Compile_$151*Compile_$16*Compile_$2051 - 1.0972101552224533e-7*Compile_$170*Compile_$2051 + 8.553833405702683e-8*Compile_$11*Compile_$170*Compile_$2051 + 1.0311963791000639e-7*Compile_$16*Compile_$170*Compile_$2051 + 1.3374093130731162e-7*Compile_$189*Compile_$2051 - 9.155609116735107e-8*Compile_$11*Compile_$189*Compile_$2051 - 1.0364161115514275e-7*Compile_$16*Compile_$189*Compile_$2051 - 2.4136572790950142e-6*Compile_$2*Compile_$2051 + 1.0318770106261897e-6*Compile_$115*Compile_$2*Compile_$2051 - 7.725081972132696e-8*Compile_$133*Compile_$2*Compile_$2051 + 3.109094009587257e-9*Compile_$151*Compile_$2*Compile_$2051 + 2.025138397408454e-7*Compile_$170*Compile_$2*Compile_$2051 - 1.9094367224354222e-7*Compile_$189*Compile_$2*Compile_$2051 - 1.2283199231147557e-6*Compile_$209 - 6.527880493350571e-7*Compile_$11*Compile_$209 - 5.672662906566695e-7*Compile_$1170*Compile_$209 + 5.377263549114482e-8*Compile_$11*Compile_$1170*Compile_$209 - 4.4828246037016183e-7*Compile_$1345*Compile_$209 + 4.0918044466371136e-8*Compile_$11*Compile_$1345*Compile_$209 - 3.453463424237474e-7*Compile_$1521*Compile_$209 + 2.5341391653296786e-8*Compile_$11*Compile_$1521*Compile_$209 - 5.444932844511176e-7*Compile_$16*Compile_$209 + 3.220967763612935e-8*Compile_$1170*Compile_$16*Compile_$209 + 2.5074365958488164e-8*Compile_$1345*Compile_$16*Compile_$209 + 1.4596692090273791e-8*Compile_$1521*Compile_$16*Compile_$209 - 2.5721813675649956e-7*Compile_$1697*Compile_$209 + 1.520074481045416e-8*Compile_$11*Compile_$1697*Compile_$209 + 9.285913683660314e-9*Compile_$16*Compile_$1697*Compile_$209 - 1.8219805612302748e-7*Compile_$1874*Compile_$209 + 1.8654503830378345e-8*Compile_$11*Compile_$1874*Compile_$209 + 1.7454019106786017e-8*Compile_$16*Compile_$1874*Compile_$209 - 6.159823845321778e-7*Compile_$2*Compile_$209 + 3.182964104783738e-7*Compile_$1170*Compile_$2*Compile_$209 + 2.678090901521202e-7*Compile_$1345*Compile_$2*Compile_$209 + 2.1087327122433357e-7*Compile_$1521*Compile_$2*Compile_$209 + 1.5782396865040837e-7*Compile_$1697*Compile_$2*Compile_$209 + 1.2196658845215406e-7*Compile_$1874*Compile_$2*Compile_$209 - 1.1428292060100015e-7*Compile_$2051*Compile_$209 + 4.898097321866248e-8*Compile_$11*Compile_$2051*Compile_$209 + 5.419862278526772e-8*Compile_$16*Compile_$2051*Compile_$209 + 1.187259280425205e-7*Compile_$2*Compile_$2051*Compile_$209 - 0.0026522568706090414*Compile_$22 + 2.942441097212407e-6*Compile_$115*Compile_$22 - 9.638352773256162e-8*Compile_$1170*Compile_$22 - 7.263693948992452e-9*Compile_$115*Compile_$1170*Compile_$22 - 5.627365280930841e-7*Compile_$133*Compile_$22 - 9.46896487225194e-8*Compile_$1170*Compile_$133*Compile_$22 - 5.748716577904282e-7*Compile_$1345*Compile_$22 + 1.956738566171278e-8*Compile_$115*Compile_$1345*Compile_$22 - 6.794863645077512e-8*Compile_$133*Compile_$1345*Compile_$22 + 3.327650448528088e-7*Compile_$151*Compile_$22 - 3.619539159112222e-8*Compile_$1170*Compile_$151*Compile_$22 - 3.016548653225692e-8*Compile_$1345*Compile_$151*Compile_$22 - 1.944110727592783e-7*Compile_$1521*Compile_$22 + 4.8545728001487174e-8*Compile_$115*Compile_$1521*Compile_$22 - 4.28941531028093e-8*Compile_$133*Compile_$1521*Compile_$22 - 2.5184560317733102e-8*Compile_$151*Compile_$1521*Compile_$22 + 9.123470849156531e-9*Compile_$1697*Compile_$22 + 3.0774024798168036e-8*Compile_$115*Compile_$1697*Compile_$22 - 1.9559800163590984e-8*Compile_$133*Compile_$1697*Compile_$22 - 2.033733256074154e-8*Compile_$151*Compile_$1697*Compile_$22 - 3.456251134362082e-7*Compile_$170*Compile_$22 + 1.6792706854855372e-8*Compile_$1170*Compile_$170*Compile_$22 - 1.069494978208805e-8*Compile_$1345*Compile_$170*Compile_$22 - 2.987369778731426e-8*Compile_$1521*Compile_$170*Compile_$22 - 2.2665234648560816e-8*Compile_$1697*Compile_$170*Compile_$22 - 1.423708743361374e-7*Compile_$1874*Compile_$22 - 1.3061696290537389e-8*Compile_$115*Compile_$1874*Compile_$22 + 3.2471107881194995e-8*Compile_$133*Compile_$1874*Compile_$22 - 3.0805561069120675e-8*Compile_$151*Compile_$1874*Compile_$22 + 2.5986301624622423e-8*Compile_$170*Compile_$1874*Compile_$22 + 3.6651981049427133e-7*Compile_$189*Compile_$22 + 1.0393828239912687e-8*Compile_$1170*Compile_$189*Compile_$22 - 4.143964131138116e-9*Compile_$1345*Compile_$189*Compile_$22 - 1.714929686413847e-8*Compile_$1521*Compile_$189*Compile_$22 - 2.8112015959495254e-8*Compile_$1697*Compile_$189*Compile_$22 - 5.323989842418396e-8*Compile_$1874*Compile_$189*Compile_$22 - 7.434104521091471e-7*Compile_$2051*Compile_$22 - 9.97997523519673e-8*Compile_$115*Compile_$2051*Compile_$22 + 1.373578529526719e-7*Compile_$133*Compile_$2051*Compile_$22 - 9.533432454778925e-8*Compile_$151*Compile_$2051*Compile_$22 + 1.2654427565354348e-7*Compile_$170*Compile_$2051*Compile_$22 - 1.236032874254983e-7*Compile_$189*Compile_$2051*Compile_$22 - 4.420653770046073e-7*Compile_$209*Compile_$22 + 2.510967922687785e-8*Compile_$1170*Compile_$209*Compile_$22 + 1.9995074429424037e-8*Compile_$1345*Compile_$209*Compile_$22 + 1.1942471517394546e-8*Compile_$1521*Compile_$209*Compile_$22 + 9.427887409265117e-9*Compile_$1697*Compile_$209*Compile_$22 + 2.108165171600763e-8*Compile_$1874*Compile_$209*Compile_$22 + 6.485520553827218e-8*Compile_$2051*Compile_$209*Compile_$22 - 1.4000131093502995e-6*Compile_$2229 - 3.076992956498519e-6*Compile_$11*Compile_$2229 - 1.0649069851751982e-6*Compile_$115*Compile_$2229 - 2.187114648544411e-7*Compile_$11*Compile_$115*Compile_$2229 + 4.790283294988169e-7*Compile_$133*Compile_$2229 + 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9.80137188731511e-7*Compile_$2407*Compile_$58*Compile_$98 + 1.2839341047674656e-6*Compile_$2586*Compile_$58*Compile_$98 + 7.012697155194828e-7*Compile_$2765*Compile_$58*Compile_$98 - 8.640072759843405e-6*Compile_$298*Compile_$58*Compile_$98 + 1.0504333174805643e-6*Compile_$301*Compile_$58*Compile_$98 + 1.2064762050541848e-7*Compile_$474*Compile_$58*Compile_$98 - 0.00016226802196849506*Compile_$6*Compile_$98 - 2.0818872034343104e-6*Compile_$1170*Compile_$6*Compile_$98 - 1.3292556278341153e-6*Compile_$1345*Compile_$6*Compile_$98 - 7.523969576856809e-7*Compile_$1521*Compile_$6*Compile_$98 - 3.799912644297048e-7*Compile_$1697*Compile_$6*Compile_$98 - 2.158187542612687e-7*Compile_$1874*Compile_$6*Compile_$98 - 8.346739100104257e-8*Compile_$2051*Compile_$6*Compile_$98 + 5.197788711000002e-8*Compile_$2229*Compile_$6*Compile_$98 + 1.0986305326287977e-7*Compile_$2407*Compile_$6*Compile_$98 + 7.466832349058269e-8*Compile_$2586*Compile_$6*Compile_$98 + 2.0729955589226932e-8*Compile_$2765*Compile_$6*Compile_$98 - 0.0003488229820493159*Compile_$298*Compile_$6*Compile_$98 - 0.00003479711184748191*Compile_$301*Compile_$6*Compile_$98 - 0.000015299256408068328*Compile_$474*Compile_$6*Compile_$98 - 0.00005405045047909071*Compile_$647*Compile_$98 - 6.983717776303191e-6*Compile_$11*Compile_$647*Compile_$98 - 2.583138943322674e-6*Compile_$16*Compile_$647*Compile_$98 + 0.00008185106987170579*Compile_$2*Compile_$647*Compile_$98 - 8.620831531497979e-7*Compile_$22*Compile_$647*Compile_$98 - 3.736553614749985e-7*Compile_$28*Compile_$647*Compile_$98 - 2.4506848382509655e-7*Compile_$35*Compile_$647*Compile_$98 - 1.9997666716954775e-7*Compile_$42*Compile_$647*Compile_$98 - 1.7278194455201365e-7*Compile_$50*Compile_$647*Compile_$98 - 1.5455077921837675e-7*Compile_$58*Compile_$647*Compile_$98 - 7.243649560153598e-6*Compile_$6*Compile_$647*Compile_$98 - 5.656317248577105e-6*Compile_$67*Compile_$98 - 8.132585814113756e-8*Compile_$1170*Compile_$67*Compile_$98 - 3.487116324265521e-8*Compile_$1345*Compile_$67*Compile_$98 + 9.753529548639039e-9*Compile_$1521*Compile_$67*Compile_$98 + 4.193020709839202e-8*Compile_$1697*Compile_$67*Compile_$98 + 1.2572655995262136e-7*Compile_$1874*Compile_$67*Compile_$98 + 3.222936941608801e-7*Compile_$2051*Compile_$67*Compile_$98 + 6.41624099451295e-7*Compile_$2229*Compile_$67*Compile_$98 + 1.0230606746054887e-6*Compile_$2407*Compile_$67*Compile_$98 + 1.3414113827605938e-6*Compile_$2586*Compile_$67*Compile_$98 + 7.330591548473462e-7*Compile_$2765*Compile_$67*Compile_$98 - 8.291725968444189e-6*Compile_$298*Compile_$67*Compile_$98 + 8.150764649055441e-7*Compile_$301*Compile_$67*Compile_$98 + 6.435889237717007e-8*Compile_$474*Compile_$67*Compile_$98 - 1.448521828116528e-7*Compile_$647*Compile_$67*Compile_$98 - 2.7529970756333e-6*Compile_$76*Compile_$98 - 3.964231871606805e-8*Compile_$1170*Compile_$76*Compile_$98 - 1.6793197436901735e-8*Compile_$1345*Compile_$76*Compile_$98 + 5.182494416339874e-9*Compile_$1521*Compile_$76*Compile_$98 + 2.1698677620853747e-8*Compile_$1697*Compile_$76*Compile_$98 + 6.451685277218703e-8*Compile_$1874*Compile_$76*Compile_$98 + 1.6407679701364798e-7*Compile_$2051*Compile_$76*Compile_$98 + 3.2569259069762086e-7*Compile_$2229*Compile_$76*Compile_$98 + 5.190090979594877e-7*Compile_$2407*Compile_$76*Compile_$98 + 6.805965093379873e-7*Compile_$2586*Compile_$76*Compile_$98 + 3.7197086392961053e-7*Compile_$2765*Compile_$76*Compile_$98 - 4.101735050072512e-6*Compile_$298*Compile_$76*Compile_$98 + 3.668271662062197e-7*Compile_$301*Compile_$76*Compile_$98 + 2.2001373021655565e-8*Compile_$474*Compile_$76*Compile_$98 - 7.099632718576129e-8*Compile_$647*Compile_$76*Compile_$98 - 0.00004334997040295405*Compile_$821*Compile_$98 - 6.936175818804543e-6*Compile_$11*Compile_$821*Compile_$98 - 2.887887839740321e-6*Compile_$16*Compile_$821*Compile_$98 + 0.00006249856412363636*Compile_$2*Compile_$821*Compile_$98 - 1.0754189679926157e-6*Compile_$22*Compile_$821*Compile_$98 - 4.4900665695342496e-7*Compile_$28*Compile_$821*Compile_$98 - 2.456941089354832e-7*Compile_$35*Compile_$821*Compile_$98 - 1.7390223253898216e-7*Compile_$42*Compile_$821*Compile_$98 - 1.39736571436873e-7*Compile_$50*Compile_$821*Compile_$98 - 1.1928565919773477e-7*Compile_$58*Compile_$821*Compile_$98 - 7.221334949407475e-6*Compile_$6*Compile_$821*Compile_$98 - 1.0703358466880696e-7*Compile_$67*Compile_$821*Compile_$98 - 5.1439701412184e-8*Compile_$76*Compile_$821*Compile_$98 + 0.00013852404077653168*Compile_$995 - 0.000013729885554876792*Compile_$11*Compile_$995 - 6.986648740865743e-6*Compile_$115*Compile_$995 + 1.9528165503076433e-8*Compile_$11*Compile_$115*Compile_$995 - 5.642687238801712e-6*Compile_$133*Compile_$995 + 1.2736616741910004e-7*Compile_$11*Compile_$133*Compile_$995 + 4.5511571396177574e-6*Compile_$151*Compile_$995 - 1.655526732667561e-7*Compile_$11*Compile_$151*Compile_$995 - 4.217569608325003e-6*Compile_$16*Compile_$995 - 2.0313564819398887e-8*Compile_$115*Compile_$16*Compile_$995 - 9.840458683924985e-8*Compile_$133*Compile_$16*Compile_$995 - 7.513798071934711e-8*Compile_$151*Compile_$16*Compile_$995 - 2.4893091367359384e-6*Compile_$170*Compile_$995 + 1.7712529566119816e-7*Compile_$11*Compile_$170*Compile_$995 + 6.504565965424285e-8*Compile_$16*Compile_$170*Compile_$995 + 1.5515426468465622e-6*Compile_$189*Compile_$995 - 2.954954957135811e-8*Compile_$11*Compile_$189*Compile_$995 + 1.4008150447786241e-8*Compile_$16*Compile_$189*Compile_$995 - 0.00008064026984852055*Compile_$2*Compile_$995 + 5.25534252945751e-6*Compile_$115*Compile_$2*Compile_$995 + 4.2063331796364445e-6*Compile_$133*Compile_$2*Compile_$995 - 3.3149079797989092e-6*Compile_$151*Compile_$2*Compile_$995 + 1.391594571144348e-6*Compile_$170*Compile_$2*Compile_$995 - 8.451003927538435e-7*Compile_$189*Compile_$2*Compile_$995 - 7.069497536591109e-7*Compile_$209*Compile_$995 + 5.6686169712389126e-8*Compile_$11*Compile_$209*Compile_$995 + 2.849826038787857e-8*Compile_$16*Compile_$209*Compile_$995 + 3.586588654826179e-7*Compile_$2*Compile_$209*Compile_$995 - 1.4248185613301105e-6*Compile_$22*Compile_$995 + 3.013445024168891e-8*Compile_$115*Compile_$22*Compile_$995 - 9.148831281563411e-8*Compile_$133*Compile_$22*Compile_$995 - 3.477411121789501e-8*Compile_$151*Compile_$22*Compile_$995 + 3.4693467053537695e-8*Compile_$170*Compile_$22*Compile_$995 + 2.8322156370325647e-8*Compile_$189*Compile_$22*Compile_$995 + 1.943523375749302e-8*Compile_$209*Compile_$22*Compile_$995 + 3.6608764843042986e-7*Compile_$229*Compile_$995 + 1.5851926586994364e-9*Compile_$11*Compile_$229*Compile_$995 + 9.596197885345945e-9*Compile_$16*Compile_$229*Compile_$995 - 1.1797583354846989e-7*Compile_$2*Compile_$229*Compile_$995 + 1.110191786992366e-8*Compile_$22*Compile_$229*Compile_$995 - 1.0854719921954283e-7*Compile_$250*Compile_$995 + 1.0540928008868616e-7*Compile_$11*Compile_$250*Compile_$995 + 8.30322159930377e-8*Compile_$16*Compile_$250*Compile_$995 + 1.6962753483952357e-7*Compile_$2*Compile_$250*Compile_$995 + 6.37772707642588e-8*Compile_$22*Compile_$250*Compile_$995 + 3.6484569641277835e-8*Compile_$271*Compile_$995 - 2.452031296519973e-8*Compile_$11*Compile_$271*Compile_$995 - 8.95525149456158e-9*Compile_$16*Compile_$271*Compile_$995 - 5.6062694902231105e-8*Compile_$2*Compile_$271*Compile_$995 + 4.089574354180342e-9*Compile_$22*Compile_$271*Compile_$995 - 6.842377092922406e-7*Compile_$28*Compile_$995 + 3.5532457036896325e-8*Compile_$115*Compile_$28*Compile_$995 - 6.543746214505904e-8*Compile_$133*Compile_$28*Compile_$995 - 1.7583387442023595e-8*Compile_$151*Compile_$28*Compile_$995 + 2.7317939889618916e-8*Compile_$170*Compile_$28*Compile_$995 + 3.251392355692358e-8*Compile_$189*Compile_$28*Compile_$995 + 1.8135523887653416e-8*Compile_$209*Compile_$28*Compile_$995 + 1.0393003224283364e-8*Compile_$229*Compile_$28*Compile_$995 + 4.679644021572558e-8*Compile_$250*Compile_$28*Compile_$995 + 1.3675776015467421e-8*Compile_$271*Compile_$28*Compile_$995 - 4.75855437806733e-7*Compile_$35*Compile_$995 + 1.8248205589291695e-8*Compile_$115*Compile_$35*Compile_$995 - 5.0313012362328355e-8*Compile_$133*Compile_$35*Compile_$995 - 1.2257646748761375e-8*Compile_$151*Compile_$35*Compile_$995 + 2.6158157895993293e-8*Compile_$170*Compile_$35*Compile_$995 + 3.2353285276714083e-8*Compile_$189*Compile_$35*Compile_$995 + 2.035018640618753e-8*Compile_$209*Compile_$35*Compile_$995 + 9.019032810451333e-9*Compile_$229*Compile_$35*Compile_$995 + 3.242092748662161e-8*Compile_$250*Compile_$35*Compile_$995 + 1.9858500590548024e-8*Compile_$271*Compile_$35*Compile_$995 - 3.841598082983642e-7*Compile_$42*Compile_$995 - 3.636807610469241e-10*Compile_$115*Compile_$42*Compile_$995 - 4.335976685411704e-8*Compile_$133*Compile_$42*Compile_$995 - 1.1702005474300125e-8*Compile_$151*Compile_$42*Compile_$995 + 2.6534600834398164e-8*Compile_$170*Compile_$42*Compile_$995 + 3.024260452762594e-8*Compile_$189*Compile_$42*Compile_$995 + 2.37546056249963e-8*Compile_$209*Compile_$42*Compile_$995 + 7.412570744499985e-9*Compile_$229*Compile_$42*Compile_$995 + 2.1131617603046848e-8*Compile_$250*Compile_$42*Compile_$995 + 2.3411731634538005e-8*Compile_$271*Compile_$42*Compile_$995 - 3.2496859040259767e-7*Compile_$50*Compile_$995 - 1.2978042417795481e-8*Compile_$115*Compile_$50*Compile_$995 - 4.023543683070849e-8*Compile_$133*Compile_$50*Compile_$995 - 1.2622014874906087e-8*Compile_$151*Compile_$50*Compile_$995 + 2.763793343900172e-8*Compile_$170*Compile_$50*Compile_$995 + 2.7756793878095666e-8*Compile_$189*Compile_$50*Compile_$995 + 2.7352944383282374e-8*Compile_$209*Compile_$50*Compile_$995 + 5.758676516987156e-9*Compile_$229*Compile_$50*Compile_$995 + 1.2721373520919593e-8*Compile_$250*Compile_$50*Compile_$995 + 2.5077364770131928e-8*Compile_$271*Compile_$50*Compile_$995 - 2.844526198975242e-7*Compile_$58*Compile_$995 - 2.0155393238373822e-8*Compile_$115*Compile_$58*Compile_$995 - 3.913903174003306e-8*Compile_$133*Compile_$58*Compile_$995 - 1.3971562657192266e-8*Compile_$151*Compile_$58*Compile_$995 + 2.8585800959711974e-8*Compile_$170*Compile_$58*Compile_$995 + 2.5693362148752687e-8*Compile_$189*Compile_$58*Compile_$995 + 3.063004424940031e-8*Compile_$209*Compile_$58*Compile_$995 + 4.37865654743728e-9*Compile_$229*Compile_$58*Compile_$995 + 6.981185836168821e-9*Compile_$250*Compile_$58*Compile_$995 + 2.5557674672434176e-8*Compile_$271*Compile_$58*Compile_$995 - 0.00004025461581522989*Compile_$6*Compile_$995 + 1.0634837231418113e-6*Compile_$115*Compile_$6*Compile_$995 + 1.3790194568162205e-6*Compile_$133*Compile_$6*Compile_$995 - 5.558739183324177e-7*Compile_$151*Compile_$6*Compile_$995 + 5.487594901791919e-7*Compile_$170*Compile_$6*Compile_$995 - 1.9043642188698984e-7*Compile_$189*Compile_$6*Compile_$995 + 1.3739120030048986e-7*Compile_$209*Compile_$6*Compile_$995 - 2.7335931551173708e-8*Compile_$229*Compile_$6*Compile_$995 + 1.3227364260909772e-7*Compile_$250*Compile_$6*Compile_$995 - 4.120105292475979e-8*Compile_$271*Compile_$6*Compile_$995 - 2.613018508574867e-7*Compile_$67*Compile_$995 - 2.3104652864492204e-8*Compile_$115*Compile_$67*Compile_$995 - 3.840167606132127e-8*Compile_$133*Compile_$67*Compile_$995 - 1.4767009827736659e-8*Compile_$151*Compile_$67*Compile_$995 + 2.9270194503640648e-8*Compile_$170*Compile_$67*Compile_$995 + 2.4420851812406065e-8*Compile_$189*Compile_$67*Compile_$995 + 3.323067516496173e-8*Compile_$209*Compile_$67*Compile_$995 + 3.813405247089439e-9*Compile_$229*Compile_$67*Compile_$995 + 3.89510328064478e-9*Compile_$250*Compile_$67*Compile_$995 + 2.5592953342806848e-8*Compile_$271*Compile_$67*Compile_$995 - 1.2705032074511152e-7*Compile_$76*Compile_$995 - 1.1870159644560616e-8*Compile_$115*Compile_$76*Compile_$995 - 1.9011049351556948e-8*Compile_$133*Compile_$76*Compile_$995 - 7.528188464315018e-9*Compile_$151*Compile_$76*Compile_$995 + 1.4660104190659434e-8*Compile_$170*Compile_$76*Compile_$995 + 1.190611750096539e-8*Compile_$189*Compile_$76*Compile_$995 + 1.7007363495494956e-8*Compile_$209*Compile_$76*Compile_$995 + 1.769294137043496e-9*Compile_$229*Compile_$76*Compile_$995 + 1.4215221756909007e-9*Compile_$250*Compile_$76*Compile_$995 + 1.2749420523878185e-8*Compile_$271*Compile_$76*Compile_$995 - 0.00007042962809631991*Compile_$78*Compile_$995 - 0.000042752029711064236*Compile_$11*Compile_$78*Compile_$995 - 6.519819359071937e-6*Compile_$16*Compile_$78*Compile_$995 + 0.0001491278440188296*Compile_$2*Compile_$78*Compile_$995 + 3.646489511498476e-6*Compile_$22*Compile_$78*Compile_$995 + 4.538564544441776e-6*Compile_$28*Compile_$78*Compile_$995 + 3.4022218850784216e-6*Compile_$35*Compile_$78*Compile_$995 + 2.305402548607639e-6*Compile_$42*Compile_$78*Compile_$995 + 1.594019175762237e-6*Compile_$50*Compile_$78*Compile_$995 + 1.1977896236251274e-6*Compile_$58*Compile_$78*Compile_$995 - 0.00010009253596834882*Compile_$6*Compile_$78*Compile_$995 + 1.0068669618715215e-6*Compile_$67*Compile_$78*Compile_$995 + 4.74818321175028e-7*Compile_$76*Compile_$78*Compile_$995 - 0.0001659193573026272*Compile_$81*Compile_$995 - 1.6854053814395094e-6*Compile_$11*Compile_$81*Compile_$995 - 6.595073496270904e-7*Compile_$16*Compile_$81*Compile_$995 + 0.00015104535847127785*Compile_$2*Compile_$81*Compile_$995 + 1.7276508924038086e-7*Compile_$22*Compile_$81*Compile_$995 + 3.1296634112423675e-7*Compile_$28*Compile_$81*Compile_$995 + 2.387706704595185e-7*Compile_$35*Compile_$81*Compile_$995 + 1.4676203191110703e-7*Compile_$42*Compile_$81*Compile_$995 + 8.704390647047182e-8*Compile_$50*Compile_$81*Compile_$995 + 5.540161890963506e-8*Compile_$58*Compile_$81*Compile_$995 + 0.000012509823494443568*Compile_$6*Compile_$81*Compile_$995 + 4.164067209171504e-8*Compile_$67*Compile_$81*Compile_$995 + 1.8930721636199088e-8*Compile_$76*Compile_$81*Compile_$995 - 0.000013419459366964404*Compile_$98*Compile_$995 - 3.7606583474346914e-6*Compile_$11*Compile_$98*Compile_$995 - 1.6615470121056724e-6*Compile_$16*Compile_$98*Compile_$995 + 0.000026365282545561755*Compile_$2*Compile_$98*Compile_$995 - 6.309608945093496e-7*Compile_$22*Compile_$98*Compile_$995 - 2.528031392291243e-7*Compile_$28*Compile_$98*Compile_$995 - 1.3164214923726078e-7*Compile_$35*Compile_$98*Compile_$995 - 9.557214449469613e-8*Compile_$42*Compile_$98*Compile_$995 - 8.291296279815977e-8*Compile_$50*Compile_$98*Compile_$995 - 7.668281386256554e-8*Compile_$58*Compile_$98*Compile_$995 - 3.874226983143063e-6*Compile_$6*Compile_$98*Compile_$995 - 7.265822074910704e-8*Compile_$67*Compile_$98*Compile_$995 - 3.5613550574218775e-8*Compile_$76*Compile_$98*Compile_$995)/pow(p,2.5); -return result; -} - -double Edot_GR(const double a, const double e, const double r, const double p){ - double result; - double Compile_$6 = (a * a); -double Compile_$11 = pow(a,3); -double Compile_$18 = pow(a,4); -double Compile_$26 = pow(a,5); -double Compile_$32 = pow(a,6); -double Compile_$39 = pow(a,7); -double Compile_$46 = pow(a,8); -double Compile_$54 = pow(a,9); -double Compile_$62 = pow(a,10); -double Compile_$3 = 0.e-24 + a; -double Compile_$84 = -0.25 + e; -double Compile_$85 = pow(Compile_$84,2); -double Compile_$86 = 32.*Compile_$85; -double Compile_$87 = -1. + Compile_$86; -double Compile_$7 = 2.04060810121416182022243*Compile_$6; -double Compile_$8 = -1. + Compile_$7; -double Compile_$10 = -3.0303030303030303030303*a; -double Compile_$12 = 4.12244060851345822267157*Compile_$11; -double Compile_$14 = Compile_$10 + Compile_$12; -double Compile_$17 = -8.16243240485664728088971*Compile_$6; -double Compile_$20 = 8.32816284548173378317489*Compile_$18; -double Compile_$21 = 1. + Compile_$17 + Compile_$20; -double Compile_$24 = 5.05050505050505050505051*a; -double Compile_$25 = -20.6122030425672911133578*Compile_$11; -double Compile_$27 = 16.8245714050136036023735*Compile_$26; -double Compile_$28 = Compile_$24 + Compile_$25 + Compile_$27; -double Compile_$30 = 18.3654729109274563820018*Compile_$6; -double Compile_$31 = -49.9689770728904026990493*Compile_$18; -double Compile_$33 = 33.9890331414416234391384*Compile_$32; -double Compile_$34 = -1. + Compile_$30 + Compile_$31 + Compile_$33; -double Compile_$36 = -7.07070707070707070707071*a; -double Compile_$37 = 57.714168519188415117402*Compile_$11; -double Compile_$38 = -117.771999835095225216615*Compile_$26; -double Compile_$40 = 68.6647134170537847255321*Compile_$39; -double Compile_$41 = Compile_$36 + Compile_$37 + Compile_$38 + Compile_$40; -double Compile_$43 = -32.6497296194265891235588*Compile_$6; -double Compile_$44 = 166.563256909634675663498*Compile_$18; -double Compile_$45 = -271.912265131532987513107*Compile_$32; -double Compile_$47 = 138.716592761724817627338*Compile_$46; -double Compile_$48 = 1. + Compile_$43 + Compile_$44 + Compile_$45 + Compile_$47; -double Compile_$50 = 9.09090909090909090909091*a; -double Compile_$51 = -123.673218255403746680147*Compile_$11; -double Compile_$52 = 454.263427935367297264085*Compile_$26; -double Compile_$53 = -617.982420753484062529789*Compile_$39; -double Compile_$55 = 280.235540932777409348157*Compile_$54; -double Compile_$56 = Compile_$50 + Compile_$51 + Compile_$52 + Compile_$53 + Compile_$55; -double Compile_$58 = 51.0152025303540455055607*Compile_$6; -double Compile_$59 = -416.408142274086689158744*Compile_$18; -double Compile_$60 = 1189.61615995045682036984*Compile_$32; -double Compile_$61 = -1387.16592761724817627338*Compile_$46; -double Compile_$63 = 566.132405924802847167993*Compile_$62; -double Compile_$64 = -1. + Compile_$58 + Compile_$59 + Compile_$60 + Compile_$61 + Compile_$63; -double Compile_$66 = -11.1111111111111111111111*a; -double Compile_$67 = 226.734233468240202246936*Compile_$11; -double Compile_$68 = -1295.49199818604747738276*Compile_$26; -double Compile_$69 = 3021.24739035036652792341*Compile_$39; -double Compile_$70 = -3082.59095026055150282972*Compile_$54; -double Compile_$71 = pow(a,11); -double Compile_$72 = 1143.70183015111686296564*Compile_$71; -double Compile_$73 = Compile_$66 + Compile_$67 + Compile_$68 + Compile_$69 + Compile_$70 + Compile_$72; -double Compile_$75 = -73.4618916437098255280073*Compile_$6; -double Compile_$76 = 874.457098775582047233363*Compile_$18; -double Compile_$77 = -3806.7717118414618251835*Compile_$32; -double Compile_$78 = 7490.69600913314015187623*Compile_$46; -double Compile_$79 = -6793.58887109763416601592*Compile_$62; -double Compile_$80 = pow(a,12); -double Compile_$81 = 2310.50874778003406659726*Compile_$80; -double Compile_$82 = 1. + Compile_$75 + Compile_$76 + Compile_$77 + Compile_$78 + Compile_$79 + Compile_$81; -double Compile_$101 = -12.*Compile_$84; -double Compile_$102 = pow(Compile_$84,3); -double Compile_$103 = 256.*Compile_$102; -double Compile_$104 = Compile_$101 + Compile_$103; -double Compile_$118 = -128.*Compile_$85; -double Compile_$119 = pow(Compile_$84,4); -double Compile_$120 = 2048.*Compile_$119; -double Compile_$121 = 1. + Compile_$118 + Compile_$120; -double Compile_$135 = 20.*Compile_$84; -double Compile_$136 = -1280.*Compile_$102; -double Compile_$137 = pow(Compile_$84,5); -double Compile_$138 = 16384.*Compile_$137; -double Compile_$139 = Compile_$135 + Compile_$136 + Compile_$138; -double Compile_$153 = 288.*Compile_$85; -double Compile_$154 = -12288.*Compile_$119; -double Compile_$155 = pow(Compile_$84,6); -double Compile_$156 = 131072.*Compile_$155; -double Compile_$157 = -1. + Compile_$153 + Compile_$154 + Compile_$156; -double Compile_$171 = -28.*Compile_$84; -double Compile_$172 = 3584.*Compile_$102; -double Compile_$173 = -114688.*Compile_$137; -double Compile_$174 = pow(Compile_$84,7); -double Compile_$175 = 1.048576e6*Compile_$174; -double Compile_$176 = Compile_$171 + Compile_$172 + Compile_$173 + Compile_$175; -double Compile_$190 = -512.*Compile_$85; -double Compile_$191 = 40960.*Compile_$119; -double Compile_$192 = -1.048576e6*Compile_$155; -double Compile_$193 = pow(Compile_$84,8); -double Compile_$194 = 8.388608e6*Compile_$193; -double Compile_$195 = 1. + Compile_$190 + Compile_$191 + Compile_$192 + Compile_$194; -double Compile_$209 = 36.*Compile_$84; -double Compile_$210 = -7680.*Compile_$102; -double Compile_$211 = 442368.*Compile_$137; -double Compile_$212 = -9.437184e6*Compile_$174; -double Compile_$213 = pow(Compile_$84,9); -double Compile_$214 = 6.7108864e7*Compile_$213; -double Compile_$215 = Compile_$209 + Compile_$210 + Compile_$211 + Compile_$212 + Compile_$214; -double Compile_$229 = 800.*Compile_$85; -double Compile_$230 = -102400.*Compile_$119; -double Compile_$231 = 4.58752e6*Compile_$155; -double Compile_$232 = -8.388608e7*Compile_$193; -double Compile_$233 = pow(Compile_$84,10); -double Compile_$234 = 5.36870912e8*Compile_$233; -double Compile_$235 = -1. + Compile_$229 + Compile_$230 + Compile_$231 + Compile_$232 + Compile_$234; -double Compile_$249 = -44.*Compile_$84; -double Compile_$250 = 14080.*Compile_$102; -double Compile_$251 = -1.261568e6*Compile_$137; -double Compile_$252 = 4.6137344e7*Compile_$174; -double Compile_$253 = -7.38197504e8*Compile_$213; -double Compile_$254 = pow(Compile_$84,11); -double Compile_$255 = 4.294967296e9*Compile_$254; -double Compile_$256 = Compile_$249 + Compile_$250 + Compile_$251 + Compile_$252 + Compile_$253 + Compile_$255; -double Compile_$270 = -1152.*Compile_$85; -double Compile_$271 = 215040.*Compile_$119; -double Compile_$272 = -1.4680064e7*Compile_$155; -double Compile_$273 = 4.52984832e8*Compile_$193; -double Compile_$274 = -6.442450944e9*Compile_$233; -double Compile_$275 = pow(Compile_$84,12); -double Compile_$276 = 3.4359738368e10*Compile_$275; -double Compile_$277 = 1. + Compile_$270 + Compile_$271 + Compile_$272 + Compile_$273 + Compile_$274 + Compile_$276; -double Compile_$304 = -0.525 + r; -double Compile_$305 = pow(Compile_$304,2); -double Compile_$306 = 10.0997348819593485671001*Compile_$305; -double Compile_$307 = -1. + Compile_$306; -double Compile_$477 = -6.74157303370786516853933*Compile_$304; -double Compile_$478 = pow(Compile_$304,3); -double Compile_$479 = 45.3920668852105553577533*Compile_$478; -double Compile_$480 = Compile_$477 + Compile_$479; -double Compile_$650 = -40.3989395278373942684005*Compile_$305; -double Compile_$651 = pow(Compile_$304,4); -double Compile_$652 = 204.009289371732833068554*Compile_$651; -double Compile_$653 = 1. + Compile_$650 + Compile_$652; -double Compile_$823 = 11.2359550561797752808989*Compile_$304; -double Compile_$824 = -226.960334426052776788767*Compile_$478; -double Compile_$825 = pow(Compile_$304,5); -double Compile_$826 = 916.89568256958576660024*Compile_$825; -double Compile_$827 = Compile_$823 + Compile_$824 + Compile_$826; -double Compile_$997 = 90.897613937634137103901*Compile_$305; -double Compile_$998 = -1224.05573623039699841133*Compile_$651; -double Compile_$999 = pow(Compile_$304,6); -double Compile_$1000 = 4120.87947222285737797862*Compile_$999; -double Compile_$1001 = -1. + Compile_$1000 + Compile_$997 + Compile_$998; -double Compile_$1171 = -15.7303370786516853932584*Compile_$304; -double Compile_$1172 = 635.488936392947775008546*Compile_$478; -double Compile_$1173 = -6418.26977798710036620171*Compile_$825; -double Compile_$1174 = pow(Compile_$304,7); -double Compile_$1175 = 18520.806616731943271814*Compile_$1174; -double Compile_$1176 = Compile_$1171 + Compile_$1172 + Compile_$1173 + Compile_$1175; -double Compile_$1346 = -161.595758111349577073602*Compile_$305; -double Compile_$1347 = 4080.18578743465666137108*Compile_$651; -double Compile_$1348 = -32967.035777782859023829*Compile_$999; -double Compile_$1349 = pow(Compile_$304,8); -double Compile_$1350 = 83239.5802999188461654564*Compile_$1349; -double Compile_$1351 = 1. + Compile_$1346 + Compile_$1347 + Compile_$1348 + Compile_$1350; -double Compile_$1521 = 20.224719101123595505618*Compile_$304; -double Compile_$1522 = -1361.7620065563166607326*Compile_$478; -double Compile_$1523 = 24756.1834293788156982066*Compile_$825; -double Compile_$1524 = -166687.259550587489446326*Compile_$1174; -double Compile_$1525 = pow(Compile_$304,9); -double Compile_$1526 = 374110.473258062229957107*Compile_$1525; -double Compile_$1527 = Compile_$1521 + Compile_$1522 + Compile_$1523 + Compile_$1524 + Compile_$1526; -double Compile_$1697 = 252.493372048983714177503*Compile_$305; -double Compile_$1698 = -10200.4644685866416534277*Compile_$651; -double Compile_$1699 = 144230.781527800008229252*Compile_$999; -double Compile_$1700 = -832395.802999188461654564*Compile_$1349; -double Compile_$1701 = pow(Compile_$304,10); -double Compile_$1702 = 1.68139538542949316834655e6*Compile_$1701; -double Compile_$1703 = -1. + Compile_$1697 + Compile_$1698 + Compile_$1699 + Compile_$1700 + Compile_$1702; -double Compile_$1873 = -24.7191011235955056179775*Compile_$304; -double Compile_$1874 = 2496.56367868658054467643*Compile_$478; -double Compile_$1875 = -70600.9675578581040282188*Compile_$825; -double Compile_$1876 = 814915.491136205503959818*Compile_$1174; -double Compile_$1877 = -4.11521520583868452952818e6*Compile_$1525; -double Compile_$1878 = pow(Compile_$304,11); -double Compile_$1879 = 7.55683319294154232964741e6*Compile_$1878; -double Compile_$1880 = Compile_$1873 + Compile_$1874 + Compile_$1875 + Compile_$1876 + Compile_$1877 + Compile_$1879; -double Compile_$2050 = -363.590455750536548415604*Compile_$305; -double Compile_$2051 = 21420.9753840319474721982*Compile_$651; -double Compile_$2052 = -461538.500888960026333606*Compile_$999; -double Compile_$2053 = 4.49493733619561769293464e6*Compile_$1349; -double Compile_$2054 = -2.01767446251539180201586e7*Compile_$1701; -double Compile_$2055 = pow(Compile_$304,12); -double Compile_$2056 = 3.39632952491754711444828e7*Compile_$2055; -double Compile_$2057 = 1. + Compile_$2050 + Compile_$2051 + Compile_$2052 + Compile_$2053 + Compile_$2054 + Compile_$2056; -double Compile_$2227 = 29.2134831460674157303371*Compile_$304; -double Compile_$2228 = -4130.67808655416053755555*Compile_$478; -double Compile_$2229 = 166875.014227664609521244*Compile_$825; -double Compile_$2230 = -2.88924583221018315040299e6*Compile_$1174; -double Compile_$2231 = 2.4317180761774044947212e7*Compile_$1525; -double Compile_$2232 = -9.8238831508240050285416e7*Compile_$1878; -double Compile_$2233 = pow(Compile_$304,13); -double Compile_$2234 = 1.52644023591799870312282e8*Compile_$2233; -double Compile_$2235 = Compile_$2227 + Compile_$2228 + Compile_$2229 + Compile_$2230 + Compile_$2231 + Compile_$2232 + Compile_$2234; -double Compile_$2405 = 494.887009216008079787906*Compile_$305; -double Compile_$2406 = -39985.8207168596352814366*Compile_$651; -double Compile_$2407 = 1.21153856483352006912572e6*Compile_$999; -double Compile_$2408 = -1.74803118629829576947458e7*Compile_$1349; -double Compile_$2409 = 1.29467444678070973962684e8*Compile_$1701; -double Compile_$2410 = -4.75486133488456596022759e8*Compile_$2055; -double Compile_$2411 = pow(Compile_$304,14); -double Compile_$2412 = 6.86040555468763462077672e8*Compile_$2411; -double Compile_$2413 = -1. + Compile_$2405 + Compile_$2406 + Compile_$2407 + Compile_$2408 + Compile_$2409 + Compile_$2410 + Compile_$2412; -double Compile_$2583 = -33.7078651685393258426966*Compile_$304; -double Compile_$2584 = 6354.88936392947775008546*Compile_$478; -double Compile_$2585 = -346586.568011303419774892*Compile_$825; -double Compile_$2586 = 8.33436297752937447231632e6*Compile_$1174; -double Compile_$2587 = -1.02880380145967113238204e8*Compile_$1525; -double Compile_$2588 = 6.80114987364738809668267e8*Compile_$1878; -double Compile_$2589 = -2.28966035387699805468423e9*Compile_$2233; -double Compile_$2590 = pow(Compile_$304,15); -double Compile_$2591 = 3.08332833918545376214684e9*Compile_$2590; -double Compile_$2592 = Compile_$2583 + Compile_$2584 + Compile_$2585 + Compile_$2586 + Compile_$2587 + Compile_$2588 + Compile_$2589 + Compile_$2591; -double Compile_$2762 = -646.383032445398308294407*Compile_$305; -double Compile_$2763 = 68547.1212289022319110342*Compile_$651; -double Compile_$2764 = -2.76923100533376015800164e6*Compile_$999; -double Compile_$2765 = 5.49381229979464384692012e7*Compile_$1349; -double Compile_$2766 = -5.91851175671181595257985e8*Compile_$1701; -double Compile_$2767 = 3.53218270591424899902621e9*Compile_$2055; -double Compile_$2768 = -1.09766488875002153932428e10*Compile_$2411; -double Compile_$2769 = pow(Compile_$304,16); -double Compile_$2770 = 1.38576554570132753354914e10*Compile_$2769; -double Compile_$2771 = 1. + Compile_$2762 + Compile_$2763 + Compile_$2764 + Compile_$2765 + Compile_$2766 + Compile_$2767 + Compile_$2768 + Compile_$2770; -result = (32*(1.17592905559062198204488 + 0.00158574516272590826805355*Compile_$1001 + 0.00368289899551605170974352*Compile_$104 - 0.000302622540095413582373518*Compile_$1001*Compile_$104 + 0.0002316797196867251111365*Compile_$1176 - 0.000099911221082129734044268*Compile_$104*Compile_$1176 + 0.00263133807593470101132002*Compile_$121 - 0.000165928017499963259727892*Compile_$1001*Compile_$121 - 0.0000770357259532310892296177*Compile_$1176*Compile_$121 + 0.0000169614076414692534929687*Compile_$1351 + 0.0000252005848119951124031791*Compile_$104*Compile_$1351 - 0.0000261778362698586752856057*Compile_$121*Compile_$1351 + 0.000444629128446202534402933*Compile_$139 - 0.0000702151616573448707383481*Compile_$1001*Compile_$139 - 0.000019040048739791724364515*Compile_$1176*Compile_$139 + 3.33754406462069618894693e-6*Compile_$1351*Compile_$139 - 0.0444442986403802799294193*Compile_$14 - 0.0000953757700407954884614642*Compile_$1001*Compile_$14 + 0.000316961816564647935541157*Compile_$104*Compile_$14 - 0.000041326148417709901965366085*Compile_$1001*Compile_$104*Compile_$14 - 0.0000606087251918622032842474*Compile_$1176*Compile_$14 - 0.000018846609045439270434398496*Compile_$104*Compile_$1176*Compile_$14 - 0.0000159887786951739454172876*Compile_$121*Compile_$14 - 0.000013572698083490922373452159*Compile_$1001*Compile_$121*Compile_$14 - 7.363824777336844721629059e-6*Compile_$1176*Compile_$121*Compile_$14 - 0.000025328778421168718200892*Compile_$1351*Compile_$14 - 4.723750715566148616868576e-6*Compile_$104*Compile_$1351*Compile_$14 - 3.900482952149551117252736e-6*Compile_$121*Compile_$1351*Compile_$14 + 6.97576029993161825708471e-6*Compile_$139*Compile_$14 + 4.580518163511941027719933e-6*Compile_$1001*Compile_$139*Compile_$14 + 7.000878776252264134933741e-6*Compile_$1176*Compile_$139*Compile_$14 + 7.095356555552910226376818e-6*Compile_$1351*Compile_$139*Compile_$14 - 0.0000253829280957936156950503*Compile_$1527 + 0.0000634917851880915751696166*Compile_$104*Compile_$1527 - 6.98810105651256679289226e-6*Compile_$121*Compile_$1527 + 7.48929133508430973571753e-6*Compile_$139*Compile_$1527 - 0.0000132936517686020517581038*Compile_$14*Compile_$1527 + 2.650689502601743849420909e-6*Compile_$104*Compile_$14*Compile_$1527 - 3.580846527228196786690243e-6*Compile_$121*Compile_$14*Compile_$1527 + 7.027710988843864661992049e-6*Compile_$139*Compile_$14*Compile_$1527 + 0.000186603154316176622373735*Compile_$157 + 0.0000260154048226246788209805*Compile_$1001*Compile_$157 + 0.0000240993899739539877590887*Compile_$1176*Compile_$157 + 0.0000176496982886008217878177*Compile_$1351*Compile_$157 - 0.0000100340227160945048242773*Compile_$14*Compile_$157 - 8.916847601216330035494436e-6*Compile_$1001*Compile_$14*Compile_$157 - 7.7361518875214383349830306e-6*Compile_$1176*Compile_$14*Compile_$157 - 6.1512646683757724507666462e-6*Compile_$1351*Compile_$14*Compile_$157 + 0.0000112324547043726934316429*Compile_$1527*Compile_$157 - 5.8800578832734890980107832e-6*Compile_$14*Compile_$1527*Compile_$157 + 1.58913930822029402583665e-6*Compile_$1703 + 0.0000549082150293911450554304*Compile_$104*Compile_$1703 - 3.34658618722353034330189e-6*Compile_$121*Compile_$1703 + 5.07526078396752612563639e-6*Compile_$139*Compile_$1703 - 3.96088724775945686145887e-6*Compile_$14*Compile_$1703 + 4.009849860461870724860052e-6*Compile_$104*Compile_$14*Compile_$1703 - 3.425416494605524481034729e-6*Compile_$121*Compile_$14*Compile_$1703 + 6.02158452720671175458968e-6*Compile_$139*Compile_$14*Compile_$1703 + 6.08724498046204230798126e-6*Compile_$157*Compile_$1703 - 5.345898869627681419185114e-6*Compile_$14*Compile_$157*Compile_$1703 - 0.0000271066054675856116817699*Compile_$176 - 0.0000296647168849374013006052*Compile_$1001*Compile_$176 - 0.0000201675866107966028144019*Compile_$1176*Compile_$176 - 0.0000133589945434238223376447*Compile_$1351*Compile_$176 + 6.04163685200469043019637e-6*Compile_$14*Compile_$176 + 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3.73379542670623442062077e-7*Compile_$2413*Compile_$8*Compile_$87 - 1.338853668653582204275076e-6*Compile_$2592*Compile_$8*Compile_$87 - 3.94574299416769278041427e-7*Compile_$2771*Compile_$8*Compile_$87 - 0.0368112834288242274218763*Compile_$304*Compile_$8*Compile_$87 - 0.005881139019953284059625507665*Compile_$307*Compile_$8*Compile_$87 - 0.001544687060805211001938481292*Compile_$480*Compile_$8*Compile_$87 - 0.000550891959545917090069199769*Compile_$653*Compile_$8*Compile_$87 + 4.21631566189598975186353e-6*Compile_$82*Compile_$87 + 1.942090581814659204720075e-6*Compile_$1001*Compile_$82*Compile_$87 + 1.673357035288213267709115e-6*Compile_$1176*Compile_$82*Compile_$87 + 2.1738227422094239494929702e-6*Compile_$1351*Compile_$82*Compile_$87 + 1.884170464379712802127638e-6*Compile_$1527*Compile_$82*Compile_$87 + 1.62026736826360097800496e-6*Compile_$1703*Compile_$82*Compile_$87 + 9.61521750181803267000528e-7*Compile_$1880*Compile_$82*Compile_$87 - 4.071350094424816598654e-9*Compile_$2057*Compile_$82*Compile_$87 - 6.04265449713072350699833e-7*Compile_$2235*Compile_$82*Compile_$87 - 1.506300355913067990158371e-6*Compile_$2413*Compile_$82*Compile_$87 - 1.558277639991702820993339e-6*Compile_$2592*Compile_$82*Compile_$87 - 1.019627619513546942828029e-6*Compile_$2771*Compile_$82*Compile_$87 + 0.000045633223475659932634669*Compile_$304*Compile_$82*Compile_$87 + 0.000023481251219632151689644558*Compile_$307*Compile_$82*Compile_$87 + 4.277395928321471756312553e-6*Compile_$480*Compile_$82*Compile_$87 - 1.918843103280713287585148e-6*Compile_$653*Compile_$82*Compile_$87 - 0.000767789020349468316426278*Compile_$827*Compile_$87 - 0.000044316871086810412596263113*Compile_$14*Compile_$827*Compile_$87 + 6.322270415715350566208948e-6*Compile_$21*Compile_$827*Compile_$87 + 0.000010740535282254031357156965*Compile_$28*Compile_$827*Compile_$87 + 0.00079572637509434444898104*Compile_$3*Compile_$827*Compile_$87 + 6.764066838320053156786221e-6*Compile_$34*Compile_$827*Compile_$87 + 3.333466812033470188422852e-6*Compile_$41*Compile_$827*Compile_$87 - 8.13838543771876968437736e-7*Compile_$48*Compile_$827*Compile_$87 - 2.937876395573812041273876e-6*Compile_$56*Compile_$827*Compile_$87 - 3.807180976391674635184809e-6*Compile_$64*Compile_$827*Compile_$87 + 1.01717329800244006020294e-7*Compile_$73*Compile_$827*Compile_$87 - 0.000120817728572353157649545806*Compile_$8*Compile_$827*Compile_$87 + 2.3124121679790446358766e-7*Compile_$82*Compile_$827*Compile_$87))/(5.*pow(p,5)); - return result; -} - -double Ldot_GR(const double a, const double e, const double r, const double p){ - double result; -double Compile_$6 = (a * a); -double Compile_$11 = pow(a,3); -double Compile_$18 = pow(a,4); -double Compile_$26 = pow(a,5); -double Compile_$32 = pow(a,6); -double Compile_$39 = pow(a,7); -double Compile_$46 = pow(a,8); -double Compile_$54 = pow(a,9); -double Compile_$62 = pow(a,10); -double Compile_$3 = 0.e-24 + a; -double Compile_$84 = -0.25 + e; -double Compile_$85 = pow(Compile_$84,2); -double Compile_$86 = 32.*Compile_$85; -double Compile_$87 = -1. + Compile_$86; -double Compile_$7 = 2.04060810121416182022243*Compile_$6; -double Compile_$8 = -1. + Compile_$7; -double Compile_$10 = -3.0303030303030303030303*a; -double Compile_$12 = 4.12244060851345822267157*Compile_$11; -double Compile_$14 = Compile_$10 + Compile_$12; -double Compile_$17 = -8.16243240485664728088971*Compile_$6; -double Compile_$20 = 8.32816284548173378317489*Compile_$18; -double Compile_$21 = 1. + Compile_$17 + Compile_$20; -double Compile_$24 = 5.05050505050505050505051*a; -double Compile_$25 = -20.6122030425672911133578*Compile_$11; -double Compile_$27 = 16.8245714050136036023735*Compile_$26; -double Compile_$28 = Compile_$24 + Compile_$25 + Compile_$27; -double Compile_$30 = 18.3654729109274563820018*Compile_$6; -double Compile_$31 = -49.9689770728904026990493*Compile_$18; -double Compile_$33 = 33.9890331414416234391384*Compile_$32; -double Compile_$34 = -1. + Compile_$30 + Compile_$31 + Compile_$33; -double Compile_$36 = -7.07070707070707070707071*a; -double Compile_$37 = 57.714168519188415117402*Compile_$11; -double Compile_$38 = -117.771999835095225216615*Compile_$26; -double Compile_$40 = 68.6647134170537847255321*Compile_$39; -double Compile_$41 = Compile_$36 + Compile_$37 + Compile_$38 + Compile_$40; -double Compile_$43 = -32.6497296194265891235588*Compile_$6; -double Compile_$44 = 166.563256909634675663498*Compile_$18; -double Compile_$45 = -271.912265131532987513107*Compile_$32; -double Compile_$47 = 138.716592761724817627338*Compile_$46; -double Compile_$48 = 1. + Compile_$43 + Compile_$44 + Compile_$45 + Compile_$47; -double Compile_$50 = 9.09090909090909090909091*a; -double Compile_$51 = -123.673218255403746680147*Compile_$11; -double Compile_$52 = 454.263427935367297264085*Compile_$26; -double Compile_$53 = -617.982420753484062529789*Compile_$39; -double Compile_$55 = 280.235540932777409348157*Compile_$54; -double Compile_$56 = Compile_$50 + Compile_$51 + Compile_$52 + Compile_$53 + Compile_$55; -double Compile_$58 = 51.0152025303540455055607*Compile_$6; -double Compile_$59 = -416.408142274086689158744*Compile_$18; -double Compile_$60 = 1189.61615995045682036984*Compile_$32; -double Compile_$61 = -1387.16592761724817627338*Compile_$46; -double Compile_$63 = 566.132405924802847167993*Compile_$62; -double Compile_$64 = -1. + Compile_$58 + Compile_$59 + Compile_$60 + Compile_$61 + Compile_$63; -double Compile_$66 = -11.1111111111111111111111*a; -double Compile_$67 = 226.734233468240202246936*Compile_$11; -double Compile_$68 = -1295.49199818604747738276*Compile_$26; -double Compile_$69 = 3021.24739035036652792341*Compile_$39; -double Compile_$70 = -3082.59095026055150282972*Compile_$54; -double Compile_$71 = pow(a,11); -double Compile_$72 = 1143.70183015111686296564*Compile_$71; -double Compile_$73 = Compile_$66 + Compile_$67 + Compile_$68 + Compile_$69 + Compile_$70 + Compile_$72; -double Compile_$75 = -73.4618916437098255280073*Compile_$6; -double Compile_$76 = 874.457098775582047233363*Compile_$18; -double Compile_$77 = -3806.7717118414618251835*Compile_$32; -double Compile_$78 = 7490.69600913314015187623*Compile_$46; -double Compile_$79 = -6793.58887109763416601592*Compile_$62; -double Compile_$80 = pow(a,12); -double Compile_$81 = 2310.50874778003406659726*Compile_$80; -double Compile_$82 = 1. + Compile_$75 + Compile_$76 + Compile_$77 + Compile_$78 + Compile_$79 + Compile_$81; -double Compile_$101 = -12.*Compile_$84; -double Compile_$102 = pow(Compile_$84,3); -double Compile_$103 = 256.*Compile_$102; -double Compile_$104 = Compile_$101 + Compile_$103; -double Compile_$118 = -128.*Compile_$85; -double Compile_$119 = pow(Compile_$84,4); -double Compile_$120 = 2048.*Compile_$119; -double Compile_$121 = 1. + Compile_$118 + Compile_$120; -double Compile_$135 = 20.*Compile_$84; -double Compile_$136 = -1280.*Compile_$102; -double Compile_$137 = pow(Compile_$84,5); -double Compile_$138 = 16384.*Compile_$137; -double Compile_$139 = Compile_$135 + Compile_$136 + Compile_$138; -double Compile_$153 = 288.*Compile_$85; -double Compile_$154 = -12288.*Compile_$119; -double Compile_$155 = pow(Compile_$84,6); -double Compile_$156 = 131072.*Compile_$155; -double Compile_$157 = -1. + Compile_$153 + Compile_$154 + Compile_$156; -double Compile_$171 = -28.*Compile_$84; -double Compile_$172 = 3584.*Compile_$102; -double Compile_$173 = -114688.*Compile_$137; -double Compile_$174 = pow(Compile_$84,7); -double Compile_$175 = 1.048576e6*Compile_$174; -double Compile_$176 = Compile_$171 + Compile_$172 + Compile_$173 + Compile_$175; -double Compile_$190 = -512.*Compile_$85; -double Compile_$191 = 40960.*Compile_$119; -double Compile_$192 = -1.048576e6*Compile_$155; -double Compile_$193 = pow(Compile_$84,8); -double Compile_$194 = 8.388608e6*Compile_$193; -double Compile_$195 = 1. + Compile_$190 + Compile_$191 + Compile_$192 + Compile_$194; -double Compile_$209 = 36.*Compile_$84; -double Compile_$210 = -7680.*Compile_$102; -double Compile_$211 = 442368.*Compile_$137; -double Compile_$212 = -9.437184e6*Compile_$174; -double Compile_$213 = pow(Compile_$84,9); -double Compile_$214 = 6.7108864e7*Compile_$213; -double Compile_$215 = Compile_$209 + Compile_$210 + Compile_$211 + Compile_$212 + Compile_$214; -double Compile_$229 = 800.*Compile_$85; -double Compile_$230 = -102400.*Compile_$119; -double Compile_$231 = 4.58752e6*Compile_$155; -double Compile_$232 = -8.388608e7*Compile_$193; -double Compile_$233 = pow(Compile_$84,10); -double Compile_$234 = 5.36870912e8*Compile_$233; -double Compile_$235 = -1. + Compile_$229 + Compile_$230 + Compile_$231 + Compile_$232 + Compile_$234; -double Compile_$249 = -44.*Compile_$84; -double Compile_$250 = 14080.*Compile_$102; -double Compile_$251 = -1.261568e6*Compile_$137; -double Compile_$252 = 4.6137344e7*Compile_$174; -double Compile_$253 = -7.38197504e8*Compile_$213; -double Compile_$254 = pow(Compile_$84,11); -double Compile_$255 = 4.294967296e9*Compile_$254; -double Compile_$256 = Compile_$249 + Compile_$250 + Compile_$251 + Compile_$252 + Compile_$253 + Compile_$255; -double Compile_$270 = -1152.*Compile_$85; -double Compile_$271 = 215040.*Compile_$119; -double Compile_$272 = -1.4680064e7*Compile_$155; -double Compile_$273 = 4.52984832e8*Compile_$193; -double Compile_$274 = -6.442450944e9*Compile_$233; -double Compile_$275 = pow(Compile_$84,12); -double Compile_$276 = 3.4359738368e10*Compile_$275; -double Compile_$277 = 1. + Compile_$270 + Compile_$271 + Compile_$272 + Compile_$273 + Compile_$274 + Compile_$276; -double Compile_$304 = -0.525 + r; -double Compile_$305 = pow(Compile_$304,2); -double Compile_$306 = 10.0997348819593485671001*Compile_$305; -double Compile_$307 = -1. + Compile_$306; -double Compile_$477 = -6.74157303370786516853933*Compile_$304; -double Compile_$478 = pow(Compile_$304,3); -double Compile_$479 = 45.3920668852105553577533*Compile_$478; -double Compile_$480 = Compile_$477 + Compile_$479; -double Compile_$650 = -40.3989395278373942684005*Compile_$305; -double Compile_$651 = pow(Compile_$304,4); -double Compile_$652 = 204.009289371732833068554*Compile_$651; -double Compile_$653 = 1. + Compile_$650 + Compile_$652; -double Compile_$823 = 11.2359550561797752808989*Compile_$304; -double Compile_$824 = -226.960334426052776788767*Compile_$478; -double Compile_$825 = pow(Compile_$304,5); -double Compile_$826 = 916.89568256958576660024*Compile_$825; -double Compile_$827 = Compile_$823 + Compile_$824 + Compile_$826; -double Compile_$997 = 90.897613937634137103901*Compile_$305; -double Compile_$998 = -1224.05573623039699841133*Compile_$651; -double Compile_$999 = pow(Compile_$304,6); -double Compile_$1000 = 4120.87947222285737797862*Compile_$999; -double Compile_$1001 = -1. + Compile_$1000 + Compile_$997 + Compile_$998; -double Compile_$1171 = -15.7303370786516853932584*Compile_$304; -double Compile_$1172 = 635.488936392947775008546*Compile_$478; -double Compile_$1173 = -6418.26977798710036620171*Compile_$825; -double Compile_$1174 = pow(Compile_$304,7); -double Compile_$1175 = 18520.806616731943271814*Compile_$1174; -double Compile_$1176 = Compile_$1171 + Compile_$1172 + Compile_$1173 + Compile_$1175; -double Compile_$1346 = -161.595758111349577073602*Compile_$305; -double Compile_$1347 = 4080.18578743465666137108*Compile_$651; -double Compile_$1348 = -32967.035777782859023829*Compile_$999; -double Compile_$1349 = pow(Compile_$304,8); -double Compile_$1350 = 83239.5802999188461654564*Compile_$1349; -double Compile_$1351 = 1. + Compile_$1346 + Compile_$1347 + Compile_$1348 + Compile_$1350; -double Compile_$1521 = 20.224719101123595505618*Compile_$304; -double Compile_$1522 = -1361.7620065563166607326*Compile_$478; -double Compile_$1523 = 24756.1834293788156982066*Compile_$825; -double Compile_$1524 = -166687.259550587489446326*Compile_$1174; -double Compile_$1525 = pow(Compile_$304,9); -double Compile_$1526 = 374110.473258062229957107*Compile_$1525; -double Compile_$1527 = Compile_$1521 + Compile_$1522 + Compile_$1523 + Compile_$1524 + Compile_$1526; -double Compile_$1697 = 252.493372048983714177503*Compile_$305; -double Compile_$1698 = -10200.4644685866416534277*Compile_$651; -double Compile_$1699 = 144230.781527800008229252*Compile_$999; -double Compile_$1700 = -832395.802999188461654564*Compile_$1349; -double Compile_$1701 = pow(Compile_$304,10); -double Compile_$1702 = 1.68139538542949316834655e6*Compile_$1701; -double Compile_$1703 = -1. + Compile_$1697 + Compile_$1698 + Compile_$1699 + Compile_$1700 + Compile_$1702; -double Compile_$1873 = -24.7191011235955056179775*Compile_$304; -double Compile_$1874 = 2496.56367868658054467643*Compile_$478; -double Compile_$1875 = -70600.9675578581040282188*Compile_$825; -double Compile_$1876 = 814915.491136205503959818*Compile_$1174; -double Compile_$1877 = -4.11521520583868452952818e6*Compile_$1525; -double Compile_$1878 = pow(Compile_$304,11); -double Compile_$1879 = 7.55683319294154232964741e6*Compile_$1878; -double Compile_$1880 = Compile_$1873 + Compile_$1874 + Compile_$1875 + Compile_$1876 + Compile_$1877 + Compile_$1879; -double Compile_$2050 = -363.590455750536548415604*Compile_$305; -double Compile_$2051 = 21420.9753840319474721982*Compile_$651; -double Compile_$2052 = -461538.500888960026333606*Compile_$999; -double Compile_$2053 = 4.49493733619561769293464e6*Compile_$1349; -double Compile_$2054 = -2.01767446251539180201586e7*Compile_$1701; -double Compile_$2055 = pow(Compile_$304,12); -double Compile_$2056 = 3.39632952491754711444828e7*Compile_$2055; -double Compile_$2057 = 1. + Compile_$2050 + Compile_$2051 + Compile_$2052 + Compile_$2053 + Compile_$2054 + Compile_$2056; -double Compile_$2227 = 29.2134831460674157303371*Compile_$304; -double Compile_$2228 = -4130.67808655416053755555*Compile_$478; -double Compile_$2229 = 166875.014227664609521244*Compile_$825; -double Compile_$2230 = -2.88924583221018315040299e6*Compile_$1174; -double Compile_$2231 = 2.4317180761774044947212e7*Compile_$1525; -double Compile_$2232 = -9.8238831508240050285416e7*Compile_$1878; -double Compile_$2233 = pow(Compile_$304,13); -double Compile_$2234 = 1.52644023591799870312282e8*Compile_$2233; -double Compile_$2235 = Compile_$2227 + Compile_$2228 + Compile_$2229 + Compile_$2230 + Compile_$2231 + Compile_$2232 + Compile_$2234; -double Compile_$2405 = 494.887009216008079787906*Compile_$305; -double Compile_$2406 = -39985.8207168596352814366*Compile_$651; -double Compile_$2407 = 1.21153856483352006912572e6*Compile_$999; -double Compile_$2408 = -1.74803118629829576947458e7*Compile_$1349; -double Compile_$2409 = 1.29467444678070973962684e8*Compile_$1701; -double Compile_$2410 = -4.75486133488456596022759e8*Compile_$2055; -double Compile_$2411 = pow(Compile_$304,14); -double Compile_$2412 = 6.86040555468763462077672e8*Compile_$2411; -double Compile_$2413 = -1. + Compile_$2405 + Compile_$2406 + Compile_$2407 + Compile_$2408 + Compile_$2409 + Compile_$2410 + Compile_$2412; -double Compile_$2583 = -33.7078651685393258426966*Compile_$304; -double Compile_$2584 = 6354.88936392947775008546*Compile_$478; -double Compile_$2585 = -346586.568011303419774892*Compile_$825; -double Compile_$2586 = 8.33436297752937447231632e6*Compile_$1174; -double Compile_$2587 = -1.02880380145967113238204e8*Compile_$1525; -double Compile_$2588 = 6.80114987364738809668267e8*Compile_$1878; -double Compile_$2589 = -2.28966035387699805468423e9*Compile_$2233; -double Compile_$2590 = pow(Compile_$304,15); -double Compile_$2591 = 3.08332833918545376214684e9*Compile_$2590; -double Compile_$2592 = Compile_$2583 + Compile_$2584 + Compile_$2585 + Compile_$2586 + Compile_$2587 + Compile_$2588 + Compile_$2589 + Compile_$2591; -double Compile_$2762 = -646.383032445398308294407*Compile_$305; -double Compile_$2763 = 68547.1212289022319110342*Compile_$651; -double Compile_$2764 = -2.76923100533376015800164e6*Compile_$999; -double Compile_$2765 = 5.49381229979464384692012e7*Compile_$1349; -double Compile_$2766 = -5.91851175671181595257985e8*Compile_$1701; -double Compile_$2767 = 3.53218270591424899902621e9*Compile_$2055; -double Compile_$2768 = -1.09766488875002153932428e10*Compile_$2411; -double Compile_$2769 = pow(Compile_$304,16); -double Compile_$2770 = 1.38576554570132753354914e10*Compile_$2769; -double Compile_$2771 = 1. + Compile_$2762 + Compile_$2763 + Compile_$2764 + Compile_$2765 + Compile_$2766 + Compile_$2767 + Compile_$2768 + Compile_$2770; -result = (32*(0.97851638566196915438978 + 0.00085285309571212181038945*Compile_$1001 + 0.00184222292260093738776632*Compile_$104 - 0.000110125014716931224152067*Compile_$1001*Compile_$104 + 0.000115150985883553171864611*Compile_$1176 + 5.49783686599479637394824e-6*Compile_$104*Compile_$1176 + 0.00136274514373747405648822*Compile_$121 - 0.0000728065440279225552963656*Compile_$1001*Compile_$121 - 0.000032373450279792392753688*Compile_$1176*Compile_$121 + 0.0000224277209335652590448695*Compile_$1351 + 0.0000543131371716073956387546*Compile_$104*Compile_$1351 - 0.0000131103402351493458659843*Compile_$121*Compile_$1351 + 0.000094015753645815444009304*Compile_$139 - 0.000032049221508821112430702*Compile_$1001*Compile_$139 - 6.82250018145363777876347e-6*Compile_$1176*Compile_$139 + 2.82531871539768736631268e-6*Compile_$1351*Compile_$139 - 0.0362600887921537093481366*Compile_$14 - 0.0000729723407606807044766785*Compile_$1001*Compile_$14 - 0.0000695285196394403791988409*Compile_$104*Compile_$14 - 0.000020786959502988740998140227*Compile_$1001*Compile_$104*Compile_$14 - 0.0000417551916398150133596186*Compile_$1176*Compile_$14 - 7.454375069249290170474917e-6*Compile_$104*Compile_$1176*Compile_$14 - 0.000040824711829666941156655*Compile_$121*Compile_$14 - 6.422931532183186316723908e-6*Compile_$1001*Compile_$121*Compile_$14 - 4.579042486963702630983269e-6*Compile_$1176*Compile_$121*Compile_$14 - 0.000013825533656648639190661*Compile_$1351*Compile_$14 - 2.05929939146482350458315e-7*Compile_$104*Compile_$1351*Compile_$14 - 3.744854204008065100770907e-6*Compile_$121*Compile_$1351*Compile_$14 + 2.63476535179118799991136e-7*Compile_$139*Compile_$14 + 7.21654521214669595353823e-6*Compile_$1001*Compile_$139*Compile_$14 + 8.057249836771153430368302e-6*Compile_$1176*Compile_$139*Compile_$14 + 7.363162045567176448088727e-6*Compile_$1351*Compile_$139*Compile_$14 - 6.1928580688174062874577e-6*Compile_$1527 + 0.0000557818396252603133422752*Compile_$104*Compile_$1527 - 6.53992694390522366488213e-6*Compile_$121*Compile_$1527 + 3.48309343759454083198102e-6*Compile_$139*Compile_$1527 - 7.55211118296002359725848e-6*Compile_$14*Compile_$1527 + 3.568475961263994393376308e-6*Compile_$104*Compile_$14*Compile_$1527 - 4.370178100744330491491738e-6*Compile_$121*Compile_$14*Compile_$1527 + 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0.000042386889020883341745551075*Compile_$307*Compile_$73*Compile_$87 + 0.000020984647306841124036688482*Compile_$480*Compile_$73*Compile_$87 - 1.09101946217626320153149e-6*Compile_$653*Compile_$73*Compile_$87 - 0.00509969147928037222402777*Compile_$8*Compile_$87 + 0.000056144956546146239786615325*Compile_$1001*Compile_$8*Compile_$87 + 0.000048605280178473632183859808*Compile_$1176*Compile_$8*Compile_$87 + 0.000033143302731845479440208783*Compile_$1351*Compile_$8*Compile_$87 + 0.00002079120492476464912936197*Compile_$1527*Compile_$8*Compile_$87 + 0.00001121647174006884361184516*Compile_$1703*Compile_$8*Compile_$87 + 4.985121930428575429985765e-6*Compile_$1880*Compile_$8*Compile_$87 + 1.692051695054094417667123e-6*Compile_$2057*Compile_$8*Compile_$87 - 4.07721203159877656238795e-7*Compile_$2235*Compile_$8*Compile_$87 - 6.36607181643533420029992e-7*Compile_$2413*Compile_$8*Compile_$87 - 1.431634449364216186632478e-6*Compile_$2592*Compile_$8*Compile_$87 - 4.29750910374629864041371e-7*Compile_$2771*Compile_$8*Compile_$87 - 0.0183714051730977696449772*Compile_$304*Compile_$8*Compile_$87 - 0.003450244172714164779386214231*Compile_$307*Compile_$8*Compile_$87 - 0.000751884021286223785087908086*Compile_$480*Compile_$8*Compile_$87 - 0.000151861167925425853823354943*Compile_$653*Compile_$8*Compile_$87 + 1.67819491712749344238479e-6*Compile_$82*Compile_$87 + 1.737275516470321851382223e-6*Compile_$1001*Compile_$82*Compile_$87 + 1.815592104637038227308204e-6*Compile_$1176*Compile_$82*Compile_$87 + 2.3324350408737474939365742e-6*Compile_$1351*Compile_$82*Compile_$87 + 1.982987325480705380724287e-6*Compile_$1527*Compile_$82*Compile_$87 + 1.676709197337251755422946e-6*Compile_$1703*Compile_$82*Compile_$87 + 1.01197998157720660719365e-6*Compile_$1880*Compile_$82*Compile_$87 + 3.54185979788820423872718e-8*Compile_$2057*Compile_$82*Compile_$87 - 6.25532404302878377923247e-7*Compile_$2235*Compile_$82*Compile_$87 - 1.618585511472609989193862e-6*Compile_$2413*Compile_$82*Compile_$87 - 1.739751990491376556665814e-6*Compile_$2592*Compile_$82*Compile_$87 - 1.1217778083733899834392396e-6*Compile_$2771*Compile_$82*Compile_$87 + 0.0000280019225638301405126357*Compile_$304*Compile_$82*Compile_$87 + 0.000021276486015408650606374615*Compile_$307*Compile_$82*Compile_$87 + 9.461677054882697455240126e-6*Compile_$480*Compile_$82*Compile_$87 + 6.763973450823528500368521e-7*Compile_$653*Compile_$82*Compile_$87 - 0.000938203380685791698032311*Compile_$827*Compile_$87 - 0.000017993525259825812955672171*Compile_$14*Compile_$827*Compile_$87 - 3.466530932837178882773441e-6*Compile_$21*Compile_$827*Compile_$87 + 1.88317654756400440851865e-7*Compile_$28*Compile_$827*Compile_$87 + 0.00087191116276588010180536*Compile_$3*Compile_$827*Compile_$87 + 9.77268348644043113243107e-7*Compile_$34*Compile_$827*Compile_$87 + 6.28700043872921881247742e-7*Compile_$41*Compile_$827*Compile_$87 - 2.241761509350507518791576e-6*Compile_$48*Compile_$827*Compile_$87 - 3.974476280679293258307548e-6*Compile_$56*Compile_$827*Compile_$87 - 4.719447738776811817951133e-6*Compile_$64*Compile_$827*Compile_$87 - 7.34141119756708827559459e-7*Compile_$73*Compile_$827*Compile_$87 + 0.000024111708097689716503027922*Compile_$8*Compile_$827*Compile_$87 - 1.68345503692509251652136e-7*Compile_$82*Compile_$827*Compile_$87))/(5.*pow(p,3.5)); - return result; -} - -void Jac(const double a, const double p, const double ecc, const double xi, - const double E, const double Lz, const double Q, - const double Edot, const double Lzdot, const double Qdot, - double & pdot, double & eccdot, double & xidot) - { - const double Lz2pQ = Lz*Lz + Q; - const double LzmaE = Lz - a*E; - const double omE2 = (1. - E)*(1. + E); - // - // Algorithm based on enforcing Rdot(r) = 0, R'dot(r) = 0 and using only - // (Edot,Lzdot) present but commented out. Present algorithm based on - // using only R'dot(r) = 0 with (Edot,Lzdot,Qdot). Results are almost - // identical, with tiny differences at the level of numerical errors in - // the fluxes. - // - if (ecc == 0.) { - const double u2 = 1./p; - const double denom = u2*(-6*omE2 + u2*(6. + u2*(-a*a*omE2 - Lz2pQ))); - const double numerEdot = -4.*E + u2*u2*(-2.*a*a*E + u2*(2.*a*LzmaE)); - const double numerLzdot = u2*u2*(2.*Lz + u2*(-2*LzmaE)); - const double numerQdot = u2*u2*(1. - u2); - pdot = (numerEdot*Edot + numerLzdot*Lzdot + numerQdot*Qdot)/denom; - eccdot = 0.; - } - else { - const double ra = p/(1. - ecc), rp = p/(1. + ecc); - const double ua2 = 1./ra, up2 = 1./rp; - - const double denoma = ua2*(-4.*omE2 + - ua2*(6 + - ua2*(-2*Lz2pQ - 2*a*a*omE2 + - ua2*(2.*Lz2pQ - 4.*a*E*Lz + 2.*a*a*E*E)))); - const double denomp = up2*(-4.*omE2 + - up2*(6 + - up2*(-2*Lz2pQ - 2*a*a*omE2 + - up2*(2.*Lz2pQ - 4.*a*E*Lz + 2.*a*a*E*E)))); - - const double numeraEdot = -2.*(E + ua2*ua2*(a*a*E + ua2*(-2.*a*(LzmaE)))); - const double numeraLzdot = 2.*ua2*ua2*(Lz - 2.*ua2*(LzmaE)); - const double numeraQdot = ua2*ua2*(1 - 2.*ua2 + a*a*ua2*ua2); - - const double numerpEdot = -2.*(E + up2*up2*(a*a*E + up2*(-2.*a*(LzmaE)))); - const double numerpLzdot = 2.*up2*up2*(Lz - 2.*up2*(LzmaE)); - const double numerpQdot = up2*up2*(1 - 2.*up2 + a*a*up2*up2); - - const double radot = (numeraEdot*Edot + numeraLzdot*Lzdot + numeraQdot*Qdot)/denoma; - const double rpdot = (numerpEdot*Edot + numerpLzdot*Lzdot + numerpQdot*Qdot)/denomp; - - pdot = 0.5*(1 + ecc*(-2. + ecc))*radot + 0.5*(1. + ecc*(2. + ecc))*rpdot; - eccdot = (1. + ecc)*((1. + ecc*(-2. + ecc))*radot + (ecc*ecc - 1.)*rpdot)/(2.*p); - if (fabs(eccdot) < 3.e-14) eccdot = 0.; - } - - if (a == 0) { - xidot = 0; - } - else { - double numerx, denomx; - const double xi2 = xi*xi; - const double omxi2 = (1. - xi)*(1. + xi); - if (fabs(xi) < 0.5) { - numerx = omxi2*(2.*Lzdot*sqrt(omxi2)*sqrt(Q - a*a*omE2*omxi2) - Qdot*xi - 2.*a*a*E*Edot*xi*omxi2); - denomx = 2.*(Q - a*a*omE2*omxi2*omxi2); - } - else { - numerx = 2.*Lz*Lzdot*xi*omxi2 - xi*xi2*(Qdot + 2.*a*a*E*Edot*omxi2); - denomx = 2.*(Lz*Lz + a*a*omE2*xi2*xi2); - } - xidot = numerx/denomx; - } - } - -double dL_dp(const double a, const double e, const double p){ - return sqrt((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))/sqrt(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p) + - (p*(-((3 + (e * e) - 3*p)*(3 + (e * e) - p)*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))) + - ((-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)*(pow(a,6)*pow(-1 + (e * e),2) - 2*pow(a,4)*(1 + (e * e))*(p * p) + - pow(p,1.5)*(-3 - (e * e) + 2*p)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))) - - (a * a)*(p * p)*(4 - 4*(e * e) - 8*p + 3*(p * p) - sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p)))/sqrt(p))))/ - (pow(p,1.5)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))))/ - (2.*pow(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p,1.5)* - sqrt((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))) + (a*(1 - (e * e))* - (1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p) + ((-1 + (e * e))*p* - ((3 + (e * e) - 3*p)*(3 + (e * e) - p)*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))) + - ((4*(a * a)*pow(-1 + (e * e),2) - pow(3 + (e * e) - p,2)*p)* - (pow(a,6)*pow(-1 + (e * e),2) - 2*pow(a,4)*(1 + (e * e))*(p * p) + - pow(p,1.5)*(-3 - (e * e) + 2*p)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))) - - (a * a)*(p * p)*(4 - 4*(e * e) - 8*p + 3*(p * p) - sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p)))/sqrt(p))))/ - (pow(p,1.5)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))))/ - pow(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p,2)))/ - (2.*(p * p)*sqrt(1 - ((1 - (e * e))*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)))/p)); -} - -double dE_dp(const double a, const double e, const double p){ - return ((1 - (e * e))*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p) + ((-1 + (e * e))*p* - ((3 + (e * e) - 3*p)*(3 + (e * e) - p)*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))) + - ((4*(a * a)*pow(-1 + (e * e),2) - pow(3 + (e * e) - p,2)*p)*(pow(a,6)*pow(-1 + (e * e),2) - 2*pow(a,4)*(1 + (e * e))*(p * p) + - pow(p,1.5)*(-3 - (e * e) + 2*p)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))) - - (a * a)*(p * p)*(4 - 4*(e * e) - 8*p + 3*(p * p) - sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p)))/sqrt(p))))/ - (pow(p,1.5)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))))/ - pow(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p,2)))/ - (2.*(p * p)*sqrt(1 - ((1 - (e * e))*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)))/p)); -} - -double dE_de(const double a, const double e, const double p){ - return (2*e*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)) - ((1 - (e * e))* - ((-1 + (e * e))*(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)* - (6*(a * a)*e - 2*e*p - (4*(a * a)*e*(pow(a,4)*(-1 + (e * e)) - 2*(p * p) + (a * a)*p*(2 + p)))/ - (sqrt(p)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))) - - 4*e*(-1 + (e * e))*(-4*(a * a)*(-1 + (e * e)) + (3 + (e * e) - p)*p)* - ((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))) + 2*e*(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)* - ((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))))/pow(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p,2))/ - (2.*p*sqrt(1 - ((1 - (e * e))*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)))/p)); -} - -double dL_de(const double a, const double e, const double p){ - return ((p*((-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)*(6*(a * a)*e - 2*e*p - - (4*(a * a)*e*(pow(a,4)*(-1 + (e * e)) - 2*(p * p) + (a * a)*p*(2 + p)))/ - (sqrt(p)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))) - - 4*e*(-4*(a * a)*(-1 + (e * e)) + (3 + (e * e) - p)*p)*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))))/ - (pow(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p,1.5)* - sqrt((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))) + (a* - (2*e*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)) - - ((1 - (e * e))*((-1 + (e * e))*(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)* - (6*(a * a)*e - 2*e*p - (4*(a * a)*e*(pow(a,4)*(-1 + (e * e)) - 2*(p * p) + (a * a)*p*(2 + p)))/ - (sqrt(p)*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))) - - 4*e*(-1 + (e * e))*(-4*(a * a)*(-1 + (e * e)) + (3 + (e * e) - p)*p)* - ((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))) + - 2*e*(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)* - ((a * a)*(1 + 3*(e * e) + p) + p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + - 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5)))))/pow(-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p,2)))/ - (p*sqrt(1 - ((1 - (e * e))*(1 + ((-1 + (e * e))*((a * a)*(1 + 3*(e * e) + p) + - p*(-3 - (e * e) + p - (2*sqrt(pow(a,6)*pow(-1 + (e * e),2) + (a * a)*(-4*(e * e) + pow(-2 + p,2))*(p * p) + 2*pow(a,4)*p*(-2 + p + (e * e)*(2 + p))))/pow(p,1.5))))/ - (-4*(a * a)*pow(-1 + (e * e),2) + pow(3 + (e * e) - p,2)*p)))/p)))/2.; -} - - -void pdot_edot_from_fluxes(double & pdot, double & eccdot, const double Edot, const double Ldot, const double a, const double e, const double p){ - double H = dE_dp(a, e, p) * dL_de(a, e, p) - dE_de(a, e, p) * dL_dp(a, e, p); - // std::cout << "beginning" << " a =" << a << "\t" << "p=" << p << "\t" << "e=" << e << "\t" << "H=" << H << std::endl; - - pdot = (dL_de(a, e, p) * Edot - dE_de(a, e, p) * Ldot)/H; - eccdot = (-dL_dp(a, e, p) * Edot + dE_dp(a, e, p) * Ldot)/H; -} -/* -int main() -{ - double q = 0.5; - double p = 20.0; - double e = 0.2; - double iota = 0.3; - double Y = cos(iota); - int Nv = 10; - int ne = 10; - double dpdt = dpdt8H_5PNe10 (q, p, e, Y, Nv, ne); - - printf("%e\n", dpdt); -} -*/ \ No newline at end of file diff --git a/src/gpuAAK.cu b/src/gpuAAK.cu index ee699257..ca55a396 100644 --- a/src/gpuAAK.cu +++ b/src/gpuAAK.cu @@ -2,14 +2,122 @@ #include "global.h" -#ifdef __CUDACC__ -#else -#include -#endif - #define NUM_THREADS 32 + +#define ACC 40.0 +#define BIGNO 1.0e10 +#define BIGNI 1.0e-10 + + + +static double bessel_j0( double x ) { + // Numerical Recipes, pp. 274-280. + + double ax,z; + double xx,y,ans,ans1,ans2; + + if ((ax=fabs(x)) < 8.0) { + y=x*x; + ans1=57568490574.0+y*(-13362590354.0+y*(651619640.7 + +y*(-11214424.18+y*(77392.33017+y*(-184.9052456))))); + ans2=57568490411.0+y*(1029532985.0+y*(9494680.718 + +y*(59272.64853+y*(267.8532712+y*1.0)))); + ans=ans1/ans2; + } else { + z=8.0/ax; + y=z*z; + xx=ax-0.785398164; + ans1=1.0+y*(-0.1098628627e-2+y*(0.2734510407e-4 + +y*(-0.2073370639e-5+y*0.2093887211e-6))); + ans2 = -0.1562499995e-1+y*(0.1430488765e-3 + +y*(-0.6911147651e-5+y*(0.7621095161e-6 + -y*0.934935152e-7))); + ans=sqrt(0.636619772/ax)*(cos(xx)*ans1-z*sin(xx)*ans2); + } + return ans; +} + +static double bessel_j1( double x ) { + // Numerical Recipes, pp. 274-280. + + double ax,z; + double xx,y,ans,ans1,ans2; + + if ((ax=fabs(x)) < 8.0) { + y=x*x; + ans1=x*(72362614232.0+y*(-7895059235.0+y*(242396853.1 + +y*(-2972611.439+y*(15704.48260+y*(-30.16036606)))))); + ans2=144725228442.0+y*(2300535178.0+y*(18583304.74 + +y*(99447.43394+y*(376.9991397+y*1.0)))); + ans=ans1/ans2; + } else { + z=8.0/ax; + y=z*z; + xx=ax-2.356194491; + ans1=1.0+y*(0.183105e-2+y*(-0.3516396496e-4 + +y*(0.2457520174e-5+y*(-0.240337019e-6)))); + ans2=0.04687499995+y*(-0.2002690873e-3 + +y*(0.8449199096e-5+y*(-0.88228987e-6 + +y*0.105787412e-6))); + ans=sqrt(0.636619772/ax)*(cos(xx)*ans1-z*sin(xx)*ans2); + if (x < 0.0) ans = -ans; + } + return ans; +} + +double bessel_jn( int n, double x ) { + // Numerical Recipes, pp. 274-280. + + int j, jsum, m; + double ax, bj, bjm, bjp, sum, tox, ans; + + ax=fabs(x); + if (n == 0) + return( bessel_j0(ax) ); + if (n == 1) + return( bessel_j1(ax) ); + + if (ax == 0.0) + return 0.0; + else if (ax > (double) n) { + tox=2.0/ax; + bjm=bessel_j0(ax); + bj=bessel_j1(ax); + for (j=1;j0;j--) { + bjm=j*tox*bj-bjp; + bjp=bj; + bj=bjm; + if (fabs(bj) > BIGNO) { + bj *= BIGNI; + bjp *= BIGNI; + ans *= BIGNI; + sum *= BIGNI; + } + if (jsum) sum += bj; + jsum=!jsum; + if (j == n) ans=bjp; + } + sum=2.0*sum-bj; + ans /= sum; + } + return x < 0.0 && n%2 == 1 ? -ans : ans; +} + + CUDA_CALLABLE_MEMBER double d_dot_product(const double *u,const double *v){ return u[0]*v[0] + u[1]*v[1] + u[2]*v[2]; @@ -338,13 +446,13 @@ void make_waveform(cmplx *waveform, #else - if(n==1){ J0=-1.0*gsl_sf_bessel_J1(ne); } - else { J0 = gsl_sf_bessel_Jn(n-2, ne); } + if(n==1){ J0=-1.0*bessel_j1(ne); } + else { J0 = bessel_jn(n-2, ne); } - J1=gsl_sf_bessel_Jn(n-1, ne); - J2=gsl_sf_bessel_Jn(n, ne); - J3=gsl_sf_bessel_Jn(n+1,ne); - J4=gsl_sf_bessel_Jn(n+2,ne); + J1=bessel_jn(n-1, ne); + J2=bessel_jn(n, ne); + J3=bessel_jn(n+1,ne); + J4=bessel_jn(n+2,ne); #endif diff --git a/src/interpolate.cu b/src/interpolate.cu index fb4863d5..4b3be685 100644 --- a/src/interpolate.cu +++ b/src/interpolate.cu @@ -18,7 +18,7 @@ #include "global.h" #include "interpolate.hh" #include -#include "Utility.hh" + // adjust imports based on CUDA or not #ifdef __CUDACC__ #include "cusparse.h"