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take into account */ +/* big tables (now TABP=200001 but you can modify it ) */ +/***************************************************************************/ + +#include <stdio.h> +#include <string.h> +#include <math.h> + + +#define TABP 200001 /* MAX POINTS IN TAB e_vs_P_filename */ +#define PDIV 16003 /* divisions used in Simpson's integration */ +#define PDIV_1 (PDIV-1) +#define NDIV 100 /* number of output points */ +#define G 6.6732e-8 /* gravitational constant */ +#define KAPPA (1.0e-15*C*C/G) /* scaling factor */ +#define KSCALE (KAPPA*G/(C*C*C*C)) +#define C 2.9979e10 +/*#define MB 1.659e-24 */ +#define MB 1.66e-24 /* baryon mass in cgs */ + +static int imaxarg1, imaxarg2; +#define IMAX(a,b) (imaxarg1=(a),imaxarg2=(b),(imaxarg1)>(imaxarg2) ?\ + (imaxarg1):(imaxarg2)) + +static int iminarg1, iminarg2; +#define IMIN(a,b) (iminarg1=(a),iminarg2=(b),(iminarg1)<(iminarg2) ?\ + (iminarg1):(iminarg2)) + + +int n_tab, /* number of points in EOS file */ + n_nearest=1; + +double error, /* error in ratint (not used) */ + e_min, /* minimum energy density */ + e_max, /* maximum energy density */ + log_p_min, /* minimum pressure */ + log_e_tab[TABP], /* log of energy density points in EOS file */ + log_p_tab[TABP], /* log of pressure points in EOS file */ + x[PDIV+1], /* log of pressure points used in integration */ + energy_d[NDIV+1], /* density output */ + log_p, /* pressure at density output */ + h[NDIV+1]; /* enthalpy output */ + +/***************************************************************************/ +void hunt(double xx[], int n, double x, int *jlo) +{ + int jm,jhi,inc,ascnd; + + ascnd=(xx[n] > xx[1]); + if (*jlo <= 0 || *jlo > n) { + *jlo=0; + jhi=n+1; + } else { + inc=1; + if (x >= xx[*jlo] == ascnd) { + if (*jlo == n) return; + jhi=(*jlo)+1; + while (x >= xx[jhi] == ascnd) { + *jlo=jhi; + inc += inc; + jhi=(*jlo)+inc; + if (jhi > n) { + jhi=n+1; + break; + } + } + } else { + if (*jlo == 1) { + *jlo=0; + return; + } + jhi=(*jlo); + *jlo -= 1; + while (x < xx[*jlo] == ascnd) { + jhi=(*jlo); + inc += inc; + *jlo=jhi-inc; + if (*jlo < 1) { + *jlo=0; + break; + } + } + } + } + while (jhi-(*jlo) != 1) { + jm=(jhi+(*jlo)) >> 1; + if (x > xx[jm] == ascnd) + *jlo=jm; + else + jhi=jm; + } +} + +/*************************************************************************/ +/* Driver for the interpolation routine. First we find the tab. point */ +/* nearest to xb, then we interpolate using three points around xb. */ +/*************************************************************************/ +double interp(double xp[], double yp[], int np ,double xb) +{ + int k, /* offset */ + m=4; /* degree of interpolation */ + + double y; + + hunt(xp,np,xb,&n_nearest); + + k=IMIN(IMAX(n_nearest-(m-1)/2,1),np+1-m); + + if( xb==xp[k] || xb==xp[k+1] || xb==xp[k+2] || xb==xp[k+3]) xb += 1e-16; + + y= (xb-xp[k+1])*(xb-xp[k+2])*(xb-xp[k+3])*yp[k]/ + ((xp[k]-xp[k+1])*(xp[k]-xp[k+2])*(xp[k]-xp[k+3])) + + +(xb-xp[k])*(xb-xp[k+2])*(xb-xp[k+3])*yp[k+1]/ + ((xp[k+1]-xp[k])*(xp[k+1]-xp[k+2])*(xp[k+1]-xp[k+3])) + + +(xb-xp[k])*(xb-xp[k+1])*(xb-xp[k+3])*yp[k+2]/ + ((xp[k+2]-xp[k])*(xp[k+2]-xp[k+1])*(xp[k+2]-xp[k+3])) + + +(xb-xp[k])*(xb-xp[k+1])*(xb-xp[k+2])*yp[k+3]/ + ((xp[k+3]-xp[k])*(xp[k+3]-xp[k+1])*(xp[k+3]-xp[k+2])); + + return (y); +} + +/*************************************************************************/ +/* Load EOS file. */ +/* Format: rho p #number */ +/*************************************************************************/ +void load_eos( char *eos_file) +{ + int i; + double rho, /* mass density (input)*/ + pr; /* pressure */ + + FILE *fe; + + if((fe=fopen(eos_file,"r")) == NULL ) { + printf("cannot open file\n"); + exit(0); + } + + for (i=1;i<=n_tab;i++) { + fscanf(fe,"%lf %lf\n",&rho,&pr) ; + log_e_tab[i]=log10(rho*C*C*KSCALE); + log_p_tab[i]=log10(pr*KSCALE); + } +} + +/*************************************************************************/ +/* Returns the function to be integrated at pressure p_val. */ +/*************************************************************************/ +double f(double x_val) +{ + double log_e; /* temp. storage for log of energy density */ + + log_e=interp(log_p_tab,log_e_tab,n_tab,x_val); + return (1.0/(1.0+pow(10.0,log_e-x_val))); +} + +/**************************************************************************/ +/* Calculate the energy_d points where the enthalpy will be tabulated. */ +/**************************************************************************/ +void make_e_grid(void) +{ + int i; + + double a; /* multiplication factor */ + + a=pow(e_max/e_min, 1.0/(NDIV-1)); + + for(i=1;i<=NDIV;i++) energy_d[i]=pow(a,1.0*(i-1))*e_min; +} + +/**************************************************************************/ +/* Use Simpson's rule to integrate. */ +/**************************************************************************/ +double h_integ_tab(double x_val) +{ + register int i; + + double sum=0.0, /* final sum */ + dx; + + /* Create x-grid for integration */ + + for(i=1;i<=PDIV;i++) x[i]=log_p_min+(x_val-log_p_min)*(i-1.0)/PDIV_1; + + dx=(x_val-log_p_min)/PDIV_1; /* step in x-integration */ + + for(i=1;i<=PDIV-2;i+=2) + sum += (dx/3.0)*(f(x[i])+4*f(x[i+1])+f(x[i+2])); + + return (sum); +} + +/*******************************************************************/ +/* Returns the derivative w.r.t. x of an array f[TABP]. */ +/*******************************************************************/ +double deriv_e(double logp[TABP], double loge[TABP], int i, int n_tab) +{ +double d_temp; + switch(i) { + case 1 : d_temp=(logp[i+1]-logp[i])/(loge[i+1]-loge[i]); + break; + + default : d_temp=(logp[i]-logp[i-1])/(loge[i]-loge[i-1]); + break; + } + return d_temp; +} + +/**************************************************************************/ +main(int argc, char *argv[]) +{ + int i; /* counter */ + + double dlogp_dloge[TABP], + Gamma_ad[TABP], + newh[TABP], /* added local var 2008/10/07 */ + e_i, + p_i, + n_0; + + n_tab=atoi(argv[2]); + load_eos(argv[1]); + + e_min=pow(10.0,log_e_tab[1]); + e_max=pow(10.0,log_e_tab[n_tab]); + + log_p_min=interp(log_e_tab,log_p_tab,n_tab,log10(e_min)); + + make_e_grid(); + + + for(i=1;i<=n_tab;i++) { + + if(i==1) newh[i]=1.0/(C*C); + else { + newh[i]=log(10.0)*h_integ_tab(log_p_tab[i]); + } + + } + + for(i=1;i<=n_tab;i++) dlogp_dloge[i]=deriv_e(log_p_tab,log_e_tab,i,n_tab); + + for(i=1;i<=n_tab;i++) { + Gamma_ad[i]=(pow(10.0,log_e_tab[i])+pow(10.0,log_p_tab[i])) + /pow(10.0,log_e_tab[i])*dlogp_dloge[i]; + + } + + +printf("%d\n",n_tab); + + for(i=1;i<=n_tab;i++) { + + e_i=pow(10.0,log_e_tab[i])/(KSCALE*C*C); + p_i=pow(10.0,log_p_tab[i])/KSCALE; + + n_0= (e_i+p_i/(C*C))*exp(-newh[i])/MB; + + printf("%6.5e %6.5e %16.15e %16.15e \n",e_i, p_i, newh[i]*C*C, n_0); + + } +} diff --git a/eos/LS1800B0.rns b/eos/LS1800B0.rns new file mode 100644 index 0000000000000000000000000000000000000000..4400e84e7b9258e55f5f842b6afcf3288b287f30 --- /dev/null +++ b/eos/LS1800B0.rns @@ -0,0 +1,2001 @@ +2000 +9.901430738923683e+02 5.361925952219894e+18 1.000000000000000e+00 5.964645433722564e+26 +1.004112972549731e+03 5.428571820309542e+18 6.684070248248193e+13 6.048799924689458e+26 +1.018279972012527e+03 5.496156004067935e+18 1.336794382827418e+14 6.134141741613711e+26 +1.032646853156738e+03 5.564691922954119e+18 2.005164117544409e+14 6.220687636339656e+26 +1.047216436093805e+03 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+9.977153496152176e+16 8.224946920723237e+37 2.587587138427137e+21 6.870503325548766e+39 +1.431065036245655e+17 1.191433777972952e+38 2.750939904029862e+21 8.288849368299327e+39 +2.055931122733951e+17 1.726508299117523e+38 2.915261539422364e+21 9.999998631085517e+39 diff --git a/eos/README.md b/eos/README.md new file mode 100644 index 0000000000000000000000000000000000000000..6f8c2a28e6f016fd7e281c5972b6c909208defa1 --- /dev/null +++ b/eos/README.md @@ -0,0 +1,38 @@ +# Equation of state tables + +EOS tables in format + + L1 + C1 C2 C3 C4 + ... + +with + + L1 number of tabulated points + C1 energy density/c^2 (g/cm^3) + C2 pressure (dynes/cm^2) + C3 enthalpy (cm^2/s^2) + C4 baryon number density (cm^{-3}) + +This format matches what is used in Stergioulas' [rns code](http://www.gravity.phys.uwm.edu/rns/). +Some EOS tables are taken from there: + + eosA PANDHARIPANDE NEUTRON: A&B EOS A + eosAU WFF1 (denoted AV14+UVII in WFF) matched to Negele-Vautherin + eosB PANDHARIPANDE HYPERON: A&B EOS B + eosC BETHE-JOHNSON MODEL 1: A&B EOS C + eosF PANDHARIPANDE (HYPERON) AND ARPONEN: A&B EOS F + eosFP FRIEDMAN&PANDHARIPANDE EOS.(NEGELE-VAUTHERIN FOR N<.1FM**-3,THEN * BPS FOR N<.001FM**-3) + eosFPS Lorenz, Ravenhall and Pethick, 1993, PRL 70,379 + eosG CANUTO-CHITRE (SOLID): A&B EOS G + eosL PANDHARIPANDE AND SMITH (MEAN FIELD): A&B EOS L + eosN WALECKA-SEROT: A&B EOS N + eosNV Negele & Vautherin, 1973, Nucl. Phys. A207, 298 + eosO BOWERS, GLEESON, AND PEDIGO. A&B EOS O + eosUU WFF2 (denoted UV14+UVII in WFF) matched to Negele-Vautherin + eosWNV WFF3 (denoted UV14+TNI in WFF) matched to Negele-Vautherin + eosWS WFF3 (UV14+TNI) mathed to EOS FPS + +A&B = Arnett and Bowers (1977) APJS 33, 415 +WFF = Wiringa, Fiks and Fabrocini (1988), Phys. Rev. C 38, 1010 + diff --git a/eos/README.md~ b/eos/README.md~ new file mode 100644 index 0000000000000000000000000000000000000000..5b71d03795136f80085b6ec36ebb6e052cd9c58b --- /dev/null +++ b/eos/README.md~ @@ -0,0 +1,41 @@ +Index of equations of state files + +file name description + +eosA PANDHARIPANDE NEUTRON: A&B EOS A +eosAU WFF1 (denoted AV14+UVII in WFF) matched to Negele-Vautherin +eosB PANDHARIPANDE HYPERON: A&B EOS B +eosC BETHE-JOHNSON MODEL 1: A&B EOS C +eosF PANDHARIPANDE (HYPERON) AND ARPONEN: A&B EOS F +eosFP FRIEDMAN&PANDHARIPANDE EOS.(NEGELE-VAUTHERIN FOR + N<.1FM**-3,THEN * BPS FOR N<.001FM**-3) +eosFPS Lorenz, Ravenhall and Pethick, 1993, PRL 70,379 +eosG CANUTO-CHITRE (SOLID): A&B EOS G +eosL PANDHARIPANDE AND SMITH (MEAN FIELD): A&B EOS L +eosN WALECKA-SEROT: A&B EOS N +eosNV Negele & Vautherin, 1973, Nucl. Phys. A207, 298 +eosO BOWERS, GLEESON, AND PEDIGO. A&B EOS O +eosUU WFF2 (denoted UV14+UVII in WFF) matched to Negele-Vautherin +eosWNV WFF3 (denoted UV14+TNI in WFF) matched to Negele-Vautherin +eosWS WFF3 (UV14+TNI) mathed to EOS FPS + +A&B = Arnett and Bowers (1977) APJS 33, 415 +WFF = Wiringa, Fiks and Fabrocini (1988), Phys. Rev. C 38, 1010 + + +The equation of state files are in the format required for +Nikolaos Stergioulas' rotating star codes: +rns.c (rapidly rotating neutron stars in equilibrium) + +The format required is as follows: +line 1) number of tabulated points in file +remaining lines) four columns: + +column 1) energy density/c^2 (g/cm^3) +column 2) pressure (dynes/cm^2) +column 3) enthalpy (cm^2/s^2) +column 4) baryon number density (cm^{-3}) + +The program HnG.c can be used to convert an equation of state in the form +energy density vs pressure to Nick's format. Look at a listing of the +c code to learn how to use the program. diff --git a/eos/SFHo+BL_01-Apr-2019.rns b/eos/SFHo+BL_01-Apr-2019.rns new file mode 100644 index 0000000000000000000000000000000000000000..7d271d12bd66ffe2b0f5c8b5b489330c32670141 --- /dev/null +++ b/eos/SFHo+BL_01-Apr-2019.rns @@ -0,0 +1,201 @@ +200 +1.000025447483668e+02 1.000000000000000e+00 1.000000000000000e+00 6.031005536143591e+25 +1.166386798085743e+02 9.359937381731647e+17 1.612375953051566e+15 7.034296789133136e+25 +1.360423639501806e+02 1.149161033244086e+18 3.309613003419474e+15 8.204491111982673e+25 +1.586740024478224e+02 1.410875977550946e+18 5.096177310352159e+15 9.569353756951519e+25 +1.850705933989700e+02 1.732195024409180e+18 6.976770064456275e+15 1.116126888015512e+26 +2.158584697864201e+02 2.126692672020920e+18 8.956339853586705e+15 1.301800792186463e+26 +2.517681613495271e+02 2.611034933996586e+18 1.104009568090134e+16 1.518362581113393e+26 +2.936517289280143e+02 3.205683414553824e+18 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+1.272413574346942e+13 1.504098654034942e+31 1.590175464806479e+19 7.621704462523595e+36 +4.227613107073909e+13 1.077060498101513e+32 2.063113467843773e+19 2.525972331027108e+37 +1.408164643145906e+14 6.334423398265904e+32 2.868889064823199e+19 8.371534541240746e+37 +4.771474514430891e+14 1.995850997327082e+34 1.163151452184612e+20 2.774479740508093e+38 +1.924537098282013e+15 6.642176264783201e+35 8.823459700966468e+20 9.195133571471768e+38 +1.149163231859863e+16 5.867422138875961e+36 2.003450679185469e+21 3.047435530443760e+39 +7.516367251570653e+16 3.100205331389149e+37 2.815463735458186e+21 1.009975900842144e+40 diff --git a/tovpy/eos.py b/tovpy/eos.py index 8cd2e218768884143a2d099a300d18594cf59763..1be04a23d470c41e674321c14915ca1928972a84 100644 --- a/tovpy/eos.py +++ b/tovpy/eos.py @@ -506,11 +506,19 @@ class EOSTabular(object): Class for tabulated EOS - EOS data is expected in two-columns format: + EOS data is expected in the format: - pressure [m^-2] energy_density [m^-2] + L1 + C1 C2 C3 C4 + ... - and can be read from a file or taken as 2D ndarray + with + + L1 number of tabulated points + C1 energy density/c^2 (g/cm^3) + C2 pressure (dynes/cm^2) + C3 enthalpy (cm^2/s^2) + C4 baryon number density (cm^{-3}) EOS tables can be found e.g. @@ -519,7 +527,8 @@ class EOSTabular(object): https://github.com/lscsoft/bilby/tree/master/bilby/gw/eos/eos_tables https://bitbucket.org/bernuzzi/tov/src/master/EOS/ - #TODO prepare a script to convert Lorene/RNS format to this ones ... + #TODO adapt code for this format + # adapt LAL tables to this format """ @@ -533,7 +542,8 @@ class EOSTabular(object): if "filename" not in params: raise ValueError("Need a filename") - self.table = np.loadtxt(params['filename'], usecols = (0,1)) + self.table = np.loadtxt(params['filename'], + skiprows = 1) elif name == 'from_ndarray': @@ -565,17 +575,19 @@ class EOSTabular(object): https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.CubicSpline.html """ - pTab = self.table[:, 0] - eTab = self.table[:, 1] - hTab = self.__pseudoenthalpy_from_p_and_e(pTab,eTab) + eTab = self.table[:, 0] + pTab = self.table[:, 1] + if self.table.shape[2] == 3: + hTab = self.__pseudoenthalpy_from_p_and_e(pTab,eTab) + # ... self.min_pTab = min(pTab) self.min_eTab = min(eTab) self.min_hTab = min(hTab) - logpTab = np.log(pTab) - logeTab = np.log(eTab) - loghTab = np.log(hTab) + self.logpTab = np.log(pTab) + self.logeTab = np.log(eTab) + self.loghTab = np.log(hTab) self.interp_EnergyDensity_from_Pressure = CubicSpline(logpTab,logeTab) self.interp_EnergyDensity_from_PseudoEnthalpy = CubicSpline(loghTab,logeTab)