Changeset 74768cb in sasmodels
- Timestamp:
- Nov 6, 2017 2:09:26 PM (7 years ago)
- Branches:
- master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- ff31782
- Parents:
- 49eb251
- Location:
- sasmodels/models
- Files:
-
- 27 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/models/barbell.c
rbecded3 r74768cb 23 23 const double qab_r = radius_bell*qab; // Q*R*sin(theta) 24 24 double total = 0.0; 25 for (int i = 0; i < 76; i++){26 const double t = G auss76Z[i]*zm + zb;25 for (int i = 0; i < GAUSS_N; i++){ 26 const double t = GAUSS_Z[i]*zm + zb; 27 27 const double radical = 1.0 - t*t; 28 28 const double bj = sas_2J1x_x(qab_r*sqrt(radical)); 29 29 const double Fq = cos(m*t + b) * radical * bj; 30 total += G auss76Wt[i] * Fq;30 total += GAUSS_W[i] * Fq; 31 31 } 32 32 // translate dx in [-1,1] to dx in [lower,upper] … … 73 73 const double zb = M_PI_4; 74 74 double total = 0.0; 75 for (int i = 0; i < 76; i++){76 const double alpha= G auss76Z[i]*zm + zb;75 for (int i = 0; i < GAUSS_N; i++){ 76 const double alpha= GAUSS_Z[i]*zm + zb; 77 77 double sin_alpha, cos_alpha; // slots to hold sincos function output 78 78 SINCOS(alpha, sin_alpha, cos_alpha); 79 79 const double Aq = _fq(q*sin_alpha, q*cos_alpha, h, radius_bell, radius, half_length); 80 total += G auss76Wt[i] * Aq * Aq * sin_alpha;80 total += GAUSS_W[i] * Aq * Aq * sin_alpha; 81 81 } 82 82 // translate dx in [-1,1] to dx in [lower,upper] -
sasmodels/models/bcc_paracrystal.c
rea60e08 r74768cb 81 81 82 82 double outer_sum = 0.0; 83 for(int i=0; i< 150; i++) {83 for(int i=0; i<GAUSS_N; i++) { 84 84 double inner_sum = 0.0; 85 const double theta = G auss150Z[i]*theta_m + theta_b;85 const double theta = GAUSS_Z[i]*theta_m + theta_b; 86 86 double sin_theta, cos_theta; 87 87 SINCOS(theta, sin_theta, cos_theta); 88 88 const double qc = q*cos_theta; 89 89 const double qab = q*sin_theta; 90 for(int j=0;j< 150;j++) {91 const double phi = G auss150Z[j]*phi_m + phi_b;90 for(int j=0;j<GAUSS_N;j++) { 91 const double phi = GAUSS_Z[j]*phi_m + phi_b; 92 92 double sin_phi, cos_phi; 93 93 SINCOS(phi, sin_phi, cos_phi); … … 95 95 const double qb = qab*sin_phi; 96 96 const double form = bcc_Zq(qa, qb, qc, dnn, d_factor); 97 inner_sum += G auss150Wt[j] * form;97 inner_sum += GAUSS_W[j] * form; 98 98 } 99 99 inner_sum *= phi_m; // sum(f(x)dx) = sum(f(x)) dx 100 outer_sum += G auss150Wt[i] * inner_sum * sin_theta;100 outer_sum += GAUSS_W[i] * inner_sum * sin_theta; 101 101 } 102 102 outer_sum *= theta_m; -
sasmodels/models/capped_cylinder.c
rbecded3 r74768cb 30 30 const double qab_r = radius_cap*qab; // Q*R*sin(theta) 31 31 double total = 0.0; 32 for (int i=0; i< 76 ;i++) {33 const double t = G auss76Z[i]*zm + zb;32 for (int i=0; i<GAUSS_N; i++) { 33 const double t = GAUSS_Z[i]*zm + zb; 34 34 const double radical = 1.0 - t*t; 35 35 const double bj = sas_2J1x_x(qab_r*sqrt(radical)); 36 36 const double Fq = cos(m*t + b) * radical * bj; 37 total += G auss76Wt[i] * Fq;37 total += GAUSS_W[i] * Fq; 38 38 } 39 39 // translate dx in [-1,1] to dx in [lower,upper] … … 95 95 const double zb = M_PI_4; 96 96 double total = 0.0; 97 for (int i=0; i< 76;i++) {98 const double theta = G auss76Z[i]*zm + zb;97 for (int i=0; i<GAUSS_N ;i++) { 98 const double theta = GAUSS_Z[i]*zm + zb; 99 99 double sin_theta, cos_theta; // slots to hold sincos function output 100 100 SINCOS(theta, sin_theta, cos_theta); … … 103 103 const double Aq = _fq(qab, qc, h, radius_cap, radius, half_length); 104 104 // scale by sin_theta for spherical coord integration 105 total += G auss76Wt[i] * Aq * Aq * sin_theta;105 total += GAUSS_W[i] * Aq * Aq * sin_theta; 106 106 } 107 107 // translate dx in [-1,1] to dx in [lower,upper] -
sasmodels/models/core_shell_bicelle.c
rbecded3 r74768cb 52 52 53 53 double total = 0.0; 54 for(int i=0;i< N_POINTS_76;i++) {55 double theta = (G auss76Z[i] + 1.0)*uplim;54 for(int i=0;i<GAUSS_N;i++) { 55 double theta = (GAUSS_Z[i] + 1.0)*uplim; 56 56 double sin_theta, cos_theta; // slots to hold sincos function output 57 57 SINCOS(theta, sin_theta, cos_theta); 58 58 double fq = bicelle_kernel(q*sin_theta, q*cos_theta, radius, thick_radius, thick_face, 59 59 halflength, sld_core, sld_face, sld_rim, sld_solvent); 60 total += G auss76Wt[i]*fq*fq*sin_theta;60 total += GAUSS_W[i]*fq*fq*sin_theta; 61 61 } 62 62 -
sasmodels/models/core_shell_bicelle_elliptical.c
rbecded3 r74768cb 37 37 //initialize integral 38 38 double outer_sum = 0.0; 39 for(int i=0;i< 76;i++) {39 for(int i=0;i<GAUSS_N;i++) { 40 40 //setup inner integral over the ellipsoidal cross-section 41 41 //const double va = 0.0; 42 42 //const double vb = 1.0; 43 //const double cos_theta = ( G auss76Z[i]*(vb-va) + va + vb )/2.0;44 const double cos_theta = ( G auss76Z[i] + 1.0 )/2.0;43 //const double cos_theta = ( GAUSS_Z[i]*(vb-va) + va + vb )/2.0; 44 const double cos_theta = ( GAUSS_Z[i] + 1.0 )/2.0; 45 45 const double sin_theta = sqrt(1.0 - cos_theta*cos_theta); 46 46 const double qab = q*sin_theta; … … 49 49 const double si2 = sas_sinx_x((halfheight+thick_face)*qc); 50 50 double inner_sum=0.0; 51 for(int j=0;j< 76;j++) {51 for(int j=0;j<GAUSS_N;j++) { 52 52 //76 gauss points for the inner integral (WAS 20 points,so this may make unecessarily slow, but playing safe) 53 53 // inner integral limits 54 54 //const double vaj=0.0; 55 55 //const double vbj=M_PI; 56 //const double phi = ( G auss76Z[j]*(vbj-vaj) + vaj + vbj )/2.0;57 const double phi = ( G auss76Z[j] +1.0)*M_PI_2;56 //const double phi = ( GAUSS_Z[j]*(vbj-vaj) + vaj + vbj )/2.0; 57 const double phi = ( GAUSS_Z[j] +1.0)*M_PI_2; 58 58 const double rr = sqrt(r2A - r2B*cos(phi)); 59 59 const double be1 = sas_2J1x_x(rr*qab); … … 61 61 const double fq = dr1*si1*be1 + dr2*si2*be2 + dr3*si2*be1; 62 62 63 inner_sum += G auss76Wt[j] * fq * fq;63 inner_sum += GAUSS_W[j] * fq * fq; 64 64 } 65 65 //now calculate outer integral 66 outer_sum += G auss76Wt[i] * inner_sum;66 outer_sum += GAUSS_W[i] * inner_sum; 67 67 } 68 68 -
sasmodels/models/core_shell_bicelle_elliptical_belt_rough.c
r129bdc4 r74768cb 7 7 double length) 8 8 { 9 return M_PI*( (r_minor + thick_rim)*(r_minor*x_core + thick_rim)* length + 9 return M_PI*( (r_minor + thick_rim)*(r_minor*x_core + thick_rim)* length + 10 10 square(r_minor)*x_core*2.0*thick_face ); 11 11 } … … 47 47 //initialize integral 48 48 double outer_sum = 0.0; 49 for(int i=0;i< 76;i++) {49 for(int i=0;i<GAUSS_N;i++) { 50 50 //setup inner integral over the ellipsoidal cross-section 51 51 // since we generate these lots of times, why not store them somewhere? 52 //const double cos_alpha = ( G auss76Z[i]*(vb-va) + va + vb )/2.0;53 const double cos_alpha = ( G auss76Z[i] + 1.0 )/2.0;52 //const double cos_alpha = ( GAUSS_Z[i]*(vb-va) + va + vb )/2.0; 53 const double cos_alpha = ( GAUSS_Z[i] + 1.0 )/2.0; 54 54 const double sin_alpha = sqrt(1.0 - cos_alpha*cos_alpha); 55 55 double inner_sum=0; … … 58 58 si1 = sas_sinx_x(sinarg1); 59 59 si2 = sas_sinx_x(sinarg2); 60 for(int j=0;j< 76;j++) {60 for(int j=0;j<GAUSS_N;j++) { 61 61 //76 gauss points for the inner integral (WAS 20 points,so this may make unecessarily slow, but playing safe) 62 //const double beta = ( G auss76Z[j]*(vbj-vaj) + vaj + vbj )/2.0;63 const double beta = ( G auss76Z[j] +1.0)*M_PI_2;62 //const double beta = ( GAUSS_Z[j]*(vbj-vaj) + vaj + vbj )/2.0; 63 const double beta = ( GAUSS_Z[j] +1.0)*M_PI_2; 64 64 const double rr = sqrt(r2A - r2B*cos(beta)); 65 65 double besarg1 = q*rr*sin_alpha; … … 67 67 be1 = sas_2J1x_x(besarg1); 68 68 be2 = sas_2J1x_x(besarg2); 69 inner_sum += G auss76Wt[j] *square(dr1*si1*be1 +69 inner_sum += GAUSS_W[j] *square(dr1*si1*be1 + 70 70 dr2*si1*be2 + 71 71 dr3*si2*be1); 72 72 } 73 73 //now calculate outer integral 74 outer_sum += G auss76Wt[i] * inner_sum;74 outer_sum += GAUSS_W[i] * inner_sum; 75 75 } 76 76 -
sasmodels/models/core_shell_cylinder.c
rbecded3 r74768cb 30 30 const double shell_vd = form_volume(radius,thickness,length) * (shell_sld-solvent_sld); 31 31 double total = 0.0; 32 for (int i=0; i< 76;i++) {32 for (int i=0; i<GAUSS_N ;i++) { 33 33 // translate a point in [-1,1] to a point in [0, pi/2] 34 //const double theta = ( G auss76Z[i]*(upper-lower) + upper + lower )/2.0;34 //const double theta = ( GAUSS_Z[i]*(upper-lower) + upper + lower )/2.0; 35 35 double sin_theta, cos_theta; 36 const double theta = G auss76Z[i]*M_PI_4 + M_PI_4;36 const double theta = GAUSS_Z[i]*M_PI_4 + M_PI_4; 37 37 SINCOS(theta, sin_theta, cos_theta); 38 38 const double qab = q*sin_theta; … … 40 40 const double fq = _cyl(core_vd, core_r*qab, core_h*qc) 41 41 + _cyl(shell_vd, shell_r*qab, shell_h*qc); 42 total += G auss76Wt[i] * fq * fq * sin_theta;42 total += GAUSS_W[i] * fq * fq * sin_theta; 43 43 } 44 44 // translate dx in [-1,1] to dx in [lower,upper] -
sasmodels/models/core_shell_ellipsoid.c
rbecded3 r74768cb 59 59 const double b = 0.5; 60 60 double total = 0.0; //initialize intergral 61 for(int i=0;i< 76;i++) {62 const double cos_theta = G auss76Z[i]*m + b;61 for(int i=0;i<GAUSS_N;i++) { 62 const double cos_theta = GAUSS_Z[i]*m + b; 63 63 const double sin_theta = sqrt(1.0 - cos_theta*cos_theta); 64 64 double fq = _cs_ellipsoid_kernel(q*sin_theta, q*cos_theta, … … 66 66 equat_shell, polar_shell, 67 67 sld_core_shell, sld_shell_solvent); 68 total += G auss76Wt[i] * fq * fq;68 total += GAUSS_W[i] * fq * fq; 69 69 } 70 70 total *= m; -
sasmodels/models/core_shell_parallelepiped.c
rfc0b7aa r74768cb 80 80 // outer integral (with gauss points), integration limits = 0, 1 81 81 double outer_sum = 0; //initialize integral 82 for( int i=0; i< 76; i++) {83 double sigma = 0.5 * ( G auss76Z[i] + 1.0 );82 for( int i=0; i<GAUSS_N; i++) { 83 double sigma = 0.5 * ( GAUSS_Z[i] + 1.0 ); 84 84 double mu_proj = mu * sqrt(1.0-sigma*sigma); 85 85 … … 88 88 const double siCt = sas_sinx_x(mu * sigma * tC_over_b); 89 89 double inner_sum = 0.0; 90 for(int j=0; j< 76; j++) {91 const double uu = 0.5 * ( G auss76Z[j] + 1.0 );90 for(int j=0; j<GAUSS_N; j++) { 91 const double uu = 0.5 * ( GAUSS_Z[j] + 1.0 ); 92 92 double sin_uu, cos_uu; 93 93 SINCOS(M_PI_2*uu, sin_uu, cos_uu); … … 109 109 #endif 110 110 111 inner_sum += G auss76Wt[j] * f * f;111 inner_sum += GAUSS_W[j] * f * f; 112 112 } 113 113 inner_sum *= 0.5; 114 114 // now sum up the outer integral 115 outer_sum += G auss76Wt[i] * inner_sum;115 outer_sum += GAUSS_W[i] * inner_sum; 116 116 } 117 117 outer_sum *= 0.5; -
sasmodels/models/cylinder.c
rbecded3 r74768cb 21 21 22 22 double total = 0.0; 23 for (int i=0; i< 76;i++) {24 const double theta = G auss76Z[i]*zm + zb;23 for (int i=0; i<GAUSS_N ;i++) { 24 const double theta = GAUSS_Z[i]*zm + zb; 25 25 double sin_theta, cos_theta; // slots to hold sincos function output 26 26 // theta (theta,phi) the projection of the cylinder on the detector plane 27 27 SINCOS(theta , sin_theta, cos_theta); 28 28 const double form = fq(q*sin_theta, q*cos_theta, radius, length); 29 total += G auss76Wt[i] * form * form * sin_theta;29 total += GAUSS_W[i] * form * form * sin_theta; 30 30 } 31 31 // translate dx in [-1,1] to dx in [lower,upper] -
sasmodels/models/ellipsoid.c
rbecded3 r74768cb 22 22 23 23 // translate a point in [-1,1] to a point in [0, 1] 24 // const double u = G auss76Z[i]*(upper-lower)/2 + (upper+lower)/2;24 // const double u = GAUSS_Z[i]*(upper-lower)/2 + (upper+lower)/2; 25 25 const double zm = 0.5; 26 26 const double zb = 0.5; 27 27 double total = 0.0; 28 for (int i=0;i< 76;i++) {29 const double u = G auss76Z[i]*zm + zb;28 for (int i=0;i<GAUSS_N;i++) { 29 const double u = GAUSS_Z[i]*zm + zb; 30 30 const double r = radius_equatorial*sqrt(1.0 + u*u*v_square_minus_one); 31 31 const double f = sas_3j1x_x(q*r); 32 total += G auss76Wt[i] * f * f;32 total += GAUSS_W[i] * f * f; 33 33 } 34 34 // translate dx in [-1,1] to dx in [lower,upper] -
sasmodels/models/elliptical_cylinder.c
rbecded3 r74768cb 22 22 //initialize integral 23 23 double outer_sum = 0.0; 24 for(int i=0;i< 76;i++) {24 for(int i=0;i<GAUSS_N;i++) { 25 25 //setup inner integral over the ellipsoidal cross-section 26 const double cos_val = ( G auss76Z[i]*(vb-va) + va + vb )/2.0;26 const double cos_val = ( GAUSS_Z[i]*(vb-va) + va + vb )/2.0; 27 27 const double sin_val = sqrt(1.0 - cos_val*cos_val); 28 28 //const double arg = radius_minor*sin_val; 29 29 double inner_sum=0; 30 for(int j=0;j<20;j++) { 31 //20 gauss points for the inner integral 32 const double theta = ( Gauss20Z[j]*(vbj-vaj) + vaj + vbj )/2.0; 30 for(int j=0;j<GAUSS_N;j++) { 31 const double theta = ( GAUSS_Z[j]*(vbj-vaj) + vaj + vbj )/2.0; 33 32 const double r = sin_val*sqrt(rA - rB*cos(theta)); 34 33 const double be = sas_2J1x_x(q*r); 35 inner_sum += G auss20Wt[j] * be * be;34 inner_sum += GAUSS_W[j] * be * be; 36 35 } 37 36 //now calculate the value of the inner integral … … 40 39 //now calculate outer integral 41 40 const double si = sas_sinx_x(q*0.5*length*cos_val); 42 outer_sum += G auss76Wt[i] * inner_sum * si * si;41 outer_sum += GAUSS_W[i] * inner_sum * si * si; 43 42 } 44 43 outer_sum *= 0.5*(vb-va); -
sasmodels/models/elliptical_cylinder.py
reda8b30 r74768cb 43 43 P(q) = \text{scale} <F^2> / V 44 44 45 For 2d data the orientation of the particle is required, described using a different set 46 of angles as in the diagrams below, for further details of the calculation and angular 45 For 2d data the orientation of the particle is required, described using a different set 46 of angles as in the diagrams below, for further details of the calculation and angular 47 47 dispersions see :ref:`orientation` . 48 48 … … 121 121 # pylint: enable=bad-whitespace, line-too-long 122 122 123 source = ["lib/polevl.c", "lib/sas_J1.c", "lib/gauss76.c", "lib/gauss20.c", 124 "elliptical_cylinder.c"] 123 source = ["lib/polevl.c", "lib/sas_J1.c", "lib/gauss76.c", "elliptical_cylinder.c"] 125 124 126 125 demo = dict(scale=1, background=0, radius_minor=100, axis_ratio=1.5, length=400.0, -
sasmodels/models/fcc_paracrystal.c
rf728001 r74768cb 53 53 54 54 double outer_sum = 0.0; 55 for(int i=0; i< 150; i++) {55 for(int i=0; i<GAUSS_N; i++) { 56 56 double inner_sum = 0.0; 57 const double theta = G auss150Z[i]*theta_m + theta_b;57 const double theta = GAUSS_Z[i]*theta_m + theta_b; 58 58 double sin_theta, cos_theta; 59 59 SINCOS(theta, sin_theta, cos_theta); 60 60 const double qc = q*cos_theta; 61 61 const double qab = q*sin_theta; 62 for(int j=0;j< 150;j++) {63 const double phi = G auss150Z[j]*phi_m + phi_b;62 for(int j=0;j<GAUSS_N;j++) { 63 const double phi = GAUSS_Z[j]*phi_m + phi_b; 64 64 double sin_phi, cos_phi; 65 65 SINCOS(phi, sin_phi, cos_phi); … … 67 67 const double qb = qab*sin_phi; 68 68 const double form = fcc_Zq(qa, qb, qc, dnn, d_factor); 69 inner_sum += G auss150Wt[j] * form;69 inner_sum += GAUSS_W[j] * form; 70 70 } 71 71 inner_sum *= phi_m; // sum(f(x)dx) = sum(f(x)) dx 72 outer_sum += G auss150Wt[i] * inner_sum * sin_theta;72 outer_sum += GAUSS_W[i] * inner_sum * sin_theta; 73 73 } 74 74 outer_sum *= theta_m; -
sasmodels/models/flexible_cylinder_elliptical.c
r592343f r74768cb 17 17 double sum=0.0; 18 18 19 for(int i=0;i< N_POINTS_76;i++) {20 const double zi = ( G auss76Z[i] + 1.0 )*M_PI_4;19 for(int i=0;i<GAUSS_N;i++) { 20 const double zi = ( GAUSS_Z[i] + 1.0 )*M_PI_4; 21 21 double sn, cn; 22 22 SINCOS(zi, sn, cn); 23 23 const double arg = q*sqrt(a*a*sn*sn + b*b*cn*cn); 24 24 const double yyy = sas_2J1x_x(arg); 25 sum += G auss76Wt[i] * yyy * yyy;25 sum += GAUSS_W[i] * yyy * yyy; 26 26 } 27 27 sum *= 0.5; -
sasmodels/models/hollow_cylinder.c
rbecded3 r74768cb 38 38 39 39 double summ = 0.0; //initialize intergral 40 for (int i=0;i< 76;i++) {41 const double cos_theta = 0.5*( G auss76Z[i] * (upper-lower) + lower + upper );40 for (int i=0;i<GAUSS_N;i++) { 41 const double cos_theta = 0.5*( GAUSS_Z[i] * (upper-lower) + lower + upper ); 42 42 const double sin_theta = sqrt(1.0 - cos_theta*cos_theta); 43 43 const double form = _fq(q*sin_theta, q*cos_theta, 44 44 radius, thickness, length); 45 summ += G auss76Wt[i] * form * form;45 summ += GAUSS_W[i] * form * form; 46 46 } 47 47 -
sasmodels/models/hollow_rectangular_prism.c
r8de1477 r74768cb 39 39 40 40 double outer_sum = 0.0; 41 for(int i=0; i< 76; i++) {41 for(int i=0; i<GAUSS_N; i++) { 42 42 43 const double theta = 0.5 * ( G auss76Z[i]*(v1b-v1a) + v1a + v1b );43 const double theta = 0.5 * ( GAUSS_Z[i]*(v1b-v1a) + v1a + v1b ); 44 44 double sin_theta, cos_theta; 45 45 SINCOS(theta, sin_theta, cos_theta); … … 49 49 50 50 double inner_sum = 0.0; 51 for(int j=0; j< 76; j++) {51 for(int j=0; j<GAUSS_N; j++) { 52 52 53 const double phi = 0.5 * ( G auss76Z[j]*(v2b-v2a) + v2a + v2b );53 const double phi = 0.5 * ( GAUSS_Z[j]*(v2b-v2a) + v2a + v2b ); 54 54 double sin_phi, cos_phi; 55 55 SINCOS(phi, sin_phi, cos_phi); … … 66 66 const double AP2 = vol_core * termA2 * termB2 * termC2; 67 67 68 inner_sum += G auss76Wt[j] * square(AP1-AP2);68 inner_sum += GAUSS_W[j] * square(AP1-AP2); 69 69 } 70 70 inner_sum *= 0.5 * (v2b-v2a); 71 71 72 outer_sum += G auss76Wt[i] * inner_sum * sin(theta);72 outer_sum += GAUSS_W[i] * inner_sum * sin(theta); 73 73 } 74 74 outer_sum *= 0.5*(v1b-v1a); -
sasmodels/models/hollow_rectangular_prism_thin_walls.c
rab2aea8 r74768cb 1 1 double form_volume(double length_a, double b2a_ratio, double c2a_ratio); 2 double Iq(double q, double sld, double solvent_sld, double length_a, 2 double Iq(double q, double sld, double solvent_sld, double length_a, 3 3 double b2a_ratio, double c2a_ratio); 4 4 … … 29 29 const double v2a = 0.0; 30 30 const double v2b = M_PI_2; //phi integration limits 31 31 32 32 double outer_sum = 0.0; 33 for(int i=0; i< 76; i++) {34 const double theta = 0.5 * ( G auss76Z[i]*(v1b-v1a) + v1a + v1b );33 for(int i=0; i<GAUSS_N; i++) { 34 const double theta = 0.5 * ( GAUSS_Z[i]*(v1b-v1a) + v1a + v1b ); 35 35 36 36 double sin_theta, cos_theta; … … 44 44 45 45 double inner_sum = 0.0; 46 for(int j=0; j< 76; j++) {47 const double phi = 0.5 * ( G auss76Z[j]*(v2b-v2a) + v2a + v2b );46 for(int j=0; j<GAUSS_N; j++) { 47 const double phi = 0.5 * ( GAUSS_Z[j]*(v2b-v2a) + v2a + v2b ); 48 48 49 49 double sin_phi, cos_phi; … … 62 62 * ( cos_a*sin_b/cos_phi + cos_b*sin_a/sin_phi ); 63 63 64 inner_sum += G auss76Wt[j] * square(AL+AT);64 inner_sum += GAUSS_W[j] * square(AL+AT); 65 65 } 66 66 67 67 inner_sum *= 0.5 * (v2b-v2a); 68 outer_sum += G auss76Wt[i] * inner_sum * sin_theta;68 outer_sum += GAUSS_W[i] * inner_sum * sin_theta; 69 69 } 70 70 -
sasmodels/models/lib/gauss150.c
r994d77f r74768cb 7 7 * 8 8 */ 9 #ifdef GAUSS_N 10 # undef GAUSS_N 11 # undef GAUSS_Z 12 # undef GAUSS_W 13 #endif 14 #define GAUSS_N 150 15 #define GAUSS_Z Gauss150Z 16 #define GAUSS_W Gauss150Wt 17 18 // Note: using array size 152 so that it is a multiple of 4 9 19 10 20 // Gaussians 11 constant double Gauss150Z[15 0]={21 constant double Gauss150Z[152]={ 12 22 -0.9998723404457334, 13 23 -0.9993274305065947, … … 159 169 0.9983473449340834, 160 170 0.9993274305065947, 161 0.9998723404457334 171 0.9998723404457334, 172 0., 173 0. 162 174 }; 163 175 164 constant double Gauss150Wt[15 0]={176 constant double Gauss150Wt[152]={ 165 177 0.0003276086705538, 166 178 0.0007624720924706, … … 312 324 0.0011976474864367, 313 325 0.0007624720924706, 314 0.0003276086705538 326 0.0003276086705538, 327 0., 328 0. 315 329 }; -
sasmodels/models/lib/gauss20.c
r994d77f r74768cb 7 7 * 8 8 */ 9 #ifdef GAUSS_N 10 # undef GAUSS_N 11 # undef GAUSS_Z 12 # undef GAUSS_W 13 #endif 14 #define GAUSS_N 20 15 #define GAUSS_Z Gauss20Z 16 #define GAUSS_W Gauss20Wt 9 17 10 18 // Gaussians -
sasmodels/models/lib/gauss76.c
r66d119f r74768cb 7 7 * 8 8 */ 9 #define N_POINTS_76 76 9 #ifdef GAUSS_N 10 # undef GAUSS_N 11 # undef GAUSS_Z 12 # undef GAUSS_W 13 #endif 14 #define GAUSS_N 76 15 #define GAUSS_Z Gauss76Z 16 #define GAUSS_W Gauss76Wt 10 17 11 18 // Gaussians 12 constant double Gauss76Wt[ N_POINTS_76]={19 constant double Gauss76Wt[76]={ 13 20 .00126779163408536, //0 14 21 .00294910295364247, … … 89 96 }; 90 97 91 constant double Gauss76Z[ N_POINTS_76]={98 constant double Gauss76Z[76]={ 92 99 -.999505948362153, //0 93 100 -.997397786355355, -
sasmodels/models/parallelepiped.c
r9b7b23f r74768cb 23 23 double outer_total = 0; //initialize integral 24 24 25 for( int i=0; i< 76; i++) {26 const double sigma = 0.5 * ( G auss76Z[i] + 1.0 );25 for( int i=0; i<GAUSS_N; i++) { 26 const double sigma = 0.5 * ( GAUSS_Z[i] + 1.0 ); 27 27 const double mu_proj = mu * sqrt(1.0-sigma*sigma); 28 28 … … 30 30 // corresponding to angles from 0 to pi/2. 31 31 double inner_total = 0.0; 32 for(int j=0; j< 76; j++) {33 const double uu = 0.5 * ( G auss76Z[j] + 1.0 );32 for(int j=0; j<GAUSS_N; j++) { 33 const double uu = 0.5 * ( GAUSS_Z[j] + 1.0 ); 34 34 double sin_uu, cos_uu; 35 35 SINCOS(M_PI_2*uu, sin_uu, cos_uu); 36 36 const double si1 = sas_sinx_x(mu_proj * sin_uu * a_scaled); 37 37 const double si2 = sas_sinx_x(mu_proj * cos_uu); 38 inner_total += G auss76Wt[j] * square(si1 * si2);38 inner_total += GAUSS_W[j] * square(si1 * si2); 39 39 } 40 40 inner_total *= 0.5; 41 41 42 42 const double si = sas_sinx_x(mu * c_scaled * sigma); 43 outer_total += G auss76Wt[i] * inner_total * si * si;43 outer_total += GAUSS_W[i] * inner_total * si * si; 44 44 } 45 45 outer_total *= 0.5; -
sasmodels/models/pringle.c
r1e7b0db0 r74768cb 29 29 double sumC = 0.0; // initialize integral 30 30 double r; 31 for (int i=0; i < 76; i++) {32 r = G auss76Z[i]*zm + zb;31 for (int i=0; i < GAUSS_N; i++) { 32 r = GAUSS_Z[i]*zm + zb; 33 33 34 34 const double qrs = r*q_sin_psi; 35 35 const double qrrc = r*r*q_cos_psi; 36 36 37 double y = G auss76Wt[i] * r * sas_JN(n, beta*qrrc) * sas_JN(2*n, qrs);37 double y = GAUSS_W[i] * r * sas_JN(n, beta*qrrc) * sas_JN(2*n, qrs); 38 38 double S, C; 39 39 SINCOS(alpha*qrrc, S, C); … … 86 86 87 87 double sum = 0.0; 88 for (int i = 0; i < 76; i++) {89 double psi = G auss76Z[i]*zm + zb;88 for (int i = 0; i < GAUSS_N; i++) { 89 double psi = GAUSS_Z[i]*zm + zb; 90 90 double sin_psi, cos_psi; 91 91 SINCOS(psi, sin_psi, cos_psi); … … 93 93 double sinc_term = square(sas_sinx_x(q * thickness * cos_psi / 2.0)); 94 94 double pringle_kernel = 4.0 * sin_psi * bessel_term * sinc_term; 95 sum += G auss76Wt[i] * pringle_kernel;95 sum += GAUSS_W[i] * pringle_kernel; 96 96 } 97 97 -
sasmodels/models/rectangular_prism.c
r8de1477 r74768cb 28 28 29 29 double outer_sum = 0.0; 30 for(int i=0; i< 76; i++) {31 const double theta = 0.5 * ( G auss76Z[i]*(v1b-v1a) + v1a + v1b );30 for(int i=0; i<GAUSS_N; i++) { 31 const double theta = 0.5 * ( GAUSS_Z[i]*(v1b-v1a) + v1a + v1b ); 32 32 double sin_theta, cos_theta; 33 33 SINCOS(theta, sin_theta, cos_theta); … … 36 36 37 37 double inner_sum = 0.0; 38 for(int j=0; j< 76; j++) {39 double phi = 0.5 * ( G auss76Z[j]*(v2b-v2a) + v2a + v2b );38 for(int j=0; j<GAUSS_N; j++) { 39 double phi = 0.5 * ( GAUSS_Z[j]*(v2b-v2a) + v2a + v2b ); 40 40 double sin_phi, cos_phi; 41 41 SINCOS(phi, sin_phi, cos_phi); … … 45 45 const double termB = sas_sinx_x(q * b_half * sin_theta * cos_phi); 46 46 const double AP = termA * termB * termC; 47 inner_sum += G auss76Wt[j] * AP * AP;47 inner_sum += GAUSS_W[j] * AP * AP; 48 48 } 49 49 inner_sum = 0.5 * (v2b-v2a) * inner_sum; 50 outer_sum += G auss76Wt[i] * inner_sum * sin_theta;50 outer_sum += GAUSS_W[i] * inner_sum * sin_theta; 51 51 } 52 52 -
sasmodels/models/sc_paracrystal.c
rf728001 r74768cb 54 54 55 55 double outer_sum = 0.0; 56 for(int i=0; i< 150; i++) {56 for(int i=0; i<GAUSS_N; i++) { 57 57 double inner_sum = 0.0; 58 const double theta = G auss150Z[i]*theta_m + theta_b;58 const double theta = GAUSS_Z[i]*theta_m + theta_b; 59 59 double sin_theta, cos_theta; 60 60 SINCOS(theta, sin_theta, cos_theta); 61 61 const double qc = q*cos_theta; 62 62 const double qab = q*sin_theta; 63 for(int j=0;j< 150;j++) {64 const double phi = G auss150Z[j]*phi_m + phi_b;63 for(int j=0;j<GAUSS_N;j++) { 64 const double phi = GAUSS_Z[j]*phi_m + phi_b; 65 65 double sin_phi, cos_phi; 66 66 SINCOS(phi, sin_phi, cos_phi); … … 68 68 const double qb = qab*sin_phi; 69 69 const double form = sc_Zq(qa, qb, qc, dnn, d_factor); 70 inner_sum += G auss150Wt[j] * form;70 inner_sum += GAUSS_W[j] * form; 71 71 } 72 72 inner_sum *= phi_m; // sum(f(x)dx) = sum(f(x)) dx 73 outer_sum += G auss150Wt[i] * inner_sum * sin_theta;73 outer_sum += GAUSS_W[i] * inner_sum * sin_theta; 74 74 } 75 75 outer_sum *= theta_m; -
sasmodels/models/stacked_disks.c
rbecded3 r74768cb 81 81 double halfheight = 0.5*thick_core; 82 82 83 for(int i=0; i< N_POINTS_76; i++) {84 double zi = (G auss76Z[i] + 1.0)*M_PI_4;83 for(int i=0; i<GAUSS_N; i++) { 84 double zi = (GAUSS_Z[i] + 1.0)*M_PI_4; 85 85 double sin_alpha, cos_alpha; // slots to hold sincos function output 86 86 SINCOS(zi, sin_alpha, cos_alpha); … … 95 95 solvent_sld, 96 96 d); 97 summ += G auss76Wt[i] * yyy * sin_alpha;97 summ += GAUSS_W[i] * yyy * sin_alpha; 98 98 } 99 99 -
sasmodels/models/triaxial_ellipsoid.c
rbecded3 r74768cb 21 21 const double zb = M_PI_4; 22 22 double outer = 0.0; 23 for (int i=0;i< 76;i++) {24 //const double u = G auss76Z[i]*(upper-lower)/2 + (upper + lower)/2;25 const double phi = G auss76Z[i]*zm + zb;23 for (int i=0;i<GAUSS_N;i++) { 24 //const double u = GAUSS_Z[i]*(upper-lower)/2 + (upper + lower)/2; 25 const double phi = GAUSS_Z[i]*zm + zb; 26 26 const double pa_sinsq_phi = pa*square(sin(phi)); 27 27 … … 29 29 const double um = 0.5; 30 30 const double ub = 0.5; 31 for (int j=0;j< 76;j++) {31 for (int j=0;j<GAUSS_N;j++) { 32 32 // translate a point in [-1,1] to a point in [0, 1] 33 const double usq = square(G auss76Z[j]*um + ub);33 const double usq = square(GAUSS_Z[j]*um + ub); 34 34 const double r = radius_equat_major*sqrt(pa_sinsq_phi*(1.0-usq) + 1.0 + pc*usq); 35 35 const double fq = sas_3j1x_x(q*r); 36 inner += G auss76Wt[j] * fq * fq;36 inner += GAUSS_W[j] * fq * fq; 37 37 } 38 outer += G auss76Wt[i] * inner; // correcting for dx later38 outer += GAUSS_W[i] * inner; // correcting for dx later 39 39 } 40 40 // translate integration ranges from [-1,1] to [lower,upper] and normalize by 4 pi
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