/
geometry.cc
305 lines (248 loc) · 13.2 KB
/
geometry.cc
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
//
// geometry.cc
// DRAGON
//
// Created by Luca Maccione on 17/07/13.
//
//
#include "geometry.h"
#include "grid.h"
#include "input.h"
TGeometry::TGeometry(TGrid* Coord_, Input* in) {
Coord = Coord_;
inp = in;
vector<double> xvec = Coord->GetX();
vector<double> yvec = Coord->GetY();
vector<double> zvec = Coord->GetZ();
density = vector<double>(xvec.size()*yvec.size()*zvec.size(), 1);
}
TSpiralGeometry::TSpiralGeometry(TGrid* Coord_, Input* in) : TGeometry(Coord_, in) {
vector<double> xvec = Coord->GetX();
vector<double> yvec = Coord->GetY();
vector<double> zvec = Coord->GetZ();
//density = vector<double>(xvec.size()*yvec.size()*zvec.size(), 0);
for (int ix = 0; ix < xvec.size(); ix++) {
double x1 = xvec[ix];
for (int iy = 0; iy < yvec.size(); iy++) {
double y1 = yvec[iy];
for (int iz = 0; iz<zvec.size(); iz++) {
double z1 = zvec[iz];
double spiralarmdensity=0;
//if(type == "None") spiralarmdensity=1.0; //MW130415; MW130513 take 1, not 0
if(x1==0 && y1==0){ // very galactic center is not defined
x1=1.e-20;
y1=1.e-20;
}
if(in->SA_type == "CII" || in->SA_type == "NII")
{
// rotation counter clockwise: sun position now at x=8.3,y=0,z=0 (former position: x=0,y=8.3,z=0)
double x=x1*cos(-90.*Pi/180.)+y1*sin(-90.*Pi/180.);
double y=-1.*x1*sin(-90.*Pi/180.)+y1*cos(-90.*Pi/180.);
double z=z1;
double x_sun=in->xobs*cos(-90.*Pi/180.)+in->yobs*sin(-90.*Pi/180.);
double y_sun=-1.*in->xobs*sin(-90.*Pi/180.)+in->yobs*cos(-90.*Pi/180.);
double z_sun=in->zobs;
//constants
const int arms=4;
double sigma_r;
const double sigma_z=0.07;
double delta_i=15.*Pi/180.;
const double R3=2.9;
const double alpha[arms]={0.242,0.279,0.249,0.240};
const double a[arms]={0.246,0.608,0.449,0.378};
double B[arms];
double B_max;
if(in->SA_type=="CII"){
B[0] = 169.;
B[1] = 266.;
B[2] = 339.;
B[3] = 176.;
B_max=339.;
}
else if(in->SA_type=="NII"){
B[0] = 20.0;
B[1] = 31.4;
B[2] = 40.1;
B[3] = 20.8;
B_max=40.1;
}
else{ //MW130415
B[0] = 0.;
B[1] = 0.;
B[2] = 0.;
B[3] = 0.;
B_max= 0.;
}
double phi_i[arms];
double DELTA_phi[arms];
double phi_i_sun[arms];
double DELTA_phi_sun[arms];
double r;
double phi;
double x_tmp;
double y_tmp;
double r_sun;
double phi_sun;
double x_sun_tmp;
double y_sun_tmp;
//calculate density
r=sqrt(pow(x,2.0)+pow(y,2.0));
r_sun=sqrt(pow(x_sun,2.0)+pow(y_sun,2.0));
phi=atan2(y,x);
phi_sun=atan2(y_sun,x_sun);
if(phi<0) phi+=(2*Pi);
if(phi_sun<0) phi_sun+=(2*Pi);
for(int i=0;i<arms;i++){
phi_i[i]=(log(r/a[i])/alpha[i]);
x_tmp=r*cos(phi_i[i]);
y_tmp=r*sin(phi_i[i]);
phi_i[i]=atan2(y_tmp,x_tmp);
if(phi_i[i]<0) phi_i[i]+=(2*Pi);
DELTA_phi[i]=fabs(phi-phi_i[i]);
if(DELTA_phi[i]>Pi) DELTA_phi[i]=2.*Pi-DELTA_phi[i];
phi_i_sun[i]=(log(r_sun/a[i])/alpha[i]);
x_sun_tmp=r_sun*cos(phi_i_sun[i]);
y_sun_tmp=r_sun*sin(phi_i_sun[i]);
phi_i_sun[i]=atan2(y_sun_tmp,x_sun_tmp);
if(phi_i_sun[i]<0) phi_i_sun[i]+=(2*Pi);
DELTA_phi_sun[i]=fabs(phi_sun-phi_i_sun[i]);
if(DELTA_phi_sun[i]>Pi) DELTA_phi_sun[i]=2.*Pi-DELTA_phi_sun[i];
}
if(in->SA_type=="CII"){
if(r<=R3) sigma_r=0.7;
else sigma_r=3.1;
}
if(in->SA_type=="NII"){
if(r<=R3) sigma_r=0.7;
else sigma_r=2.3;
}
double res=0.;
double res_sun=0.;
for(int i=0;i<arms;i++) res+=B[i]*exp(-1.*fabs(r-R3)/sigma_r)*exp(-1.*(pow(((DELTA_phi[i])/delta_i),2.0)))*exp(-1.*pow(z,2.0)/(2.*pow(sigma_z,2.0)));
for(int i=0;i<arms;i++) res_sun+=B[i]*exp(-1.*fabs(r_sun-R3)/sigma_r)*exp(-1.*(pow(((DELTA_phi_sun[i])/delta_i),2.0)))*exp(-1.*pow(z_sun,2.0)/(2.*pow(sigma_z,2.0)));
res/=res_sun; //normalize to sun's position
spiralarmdensity = res;
}
if(in->SA_type == "Daniele" || in->SA_type == "Blasi" || in->SA_type == "BlasiModel")
//DG luglio2013 spiral arm implementation from Blasi papers
{
//MW130623: concerning Simon's rotation (s.above) - do we need it here?
double x = x1;
double y = y1;
double zeta = z1;
double radius = sqrt(x*x+y*y);
double theta = atan2(y,x) ;
//
double spiral_arms = 0.;
int n_arms = in->num_arms;
double width = in->spiral_width;
vector<double> arms_K = in->arms_Kvec; //vector<double>(n_arms,0.);
vector<double> arms_r0 = in->arms_r0vec; //vector<double>(n_arms,0.);
vector<double> arms_theta0 = in->arms_theta0vec; //vector<dobule>(n_arms,0.);
double norm_gaussian = 1./(width*sqrt(2.*3.141));
for (int i_arms=0; i_arms < n_arms; i_arms++) {
double arm_theta = (arms_K[i_arms] * log(radius/arms_r0[i_arms]) + arms_theta0[i_arms]);
int n1 = floor(fabs(arm_theta - theta)/(2.*M_PI));
int n2 = ceil(fabs(arm_theta - theta)/(2.*M_PI));
double lower_r = arms_r0[i_arms] * exp((theta - arms_theta0[i_arms] + n1*2.*M_PI)/arms_K[i_arms]);
double upper_r = arms_r0[i_arms] * exp((theta - arms_theta0[i_arms] + n2*2.*M_PI)/arms_K[i_arms]);
double arm_distance = min( fabs(radius-lower_r) , fabs(upper_r-radius) );
spiral_arms += norm_gaussian * exp( -pow(arm_distance,2.)/(2.*width*width) );
}
/*
double norma_K = 4.25;
double norma_r0 = 3.48;
double norma_theta0 = 0.00;
double norma_theta = (norma_K * log(radius/norma_r0) + norma_theta0);
double n1 = floor(fabs(norma_theta - theta)/(2.*M_PI));
double n2 = ceil(fabs(norma_theta - theta)/(2.*M_PI));
double lower_r = norma_r0 * exp((theta - norma_theta0 + n1*2.*M_PI)/norma_K);
double upper_r = norma_r0 * exp((theta - norma_theta0 + n2*2.*M_PI)/norma_K);
double norma_distance = min( fabs(radius-lower_r) , fabs(upper_r-radius) );
//double norma_distance = sqrt( pow((x - radius*cos(norma_theta)), 2.) + pow((y - radius*sin(norma_theta)),2.) );
//
double carina_K = 4.25;
double carina_r0 = 3.48;
double carina_theta0 = 3.14;
double carina_theta = (carina_K * log(radius/carina_r0) + carina_theta0);
n1 = floor(fabs(carina_theta - theta)/(2.*M_PI));
n2 = ceil(fabs(carina_theta - theta)/(2.*M_PI));
lower_r = carina_r0 * exp((theta - carina_theta0 + n1*2.*M_PI)/carina_K);
upper_r = carina_r0 * exp((theta - carina_theta0 + n2*2.*M_PI)/carina_K);
double carina_distance = min( fabs(radius-lower_r) , fabs(upper_r-radius) );
//double carina_distance = sqrt( pow((x - radius*cos(carina_theta)), 2.) + pow((y - radius*sin(carina_theta)),2.));
//
double perseus_K = 4.89;
double perseus_r0 = 4.90;
double perseus_theta0 = 2.52;
double perseus_theta = (perseus_K * log(radius/perseus_r0) + perseus_theta0);
n1 = floor(fabs(perseus_theta - theta)/(2.*M_PI));
n2 = ceil(fabs(perseus_theta - theta)/(2.*M_PI));
lower_r = perseus_r0 * exp((theta - perseus_theta0 + n1*2.*M_PI)/perseus_K);
upper_r = perseus_r0 * exp((theta - perseus_theta0 + n2*2.*M_PI)/perseus_K);
double perseus_distance = min( fabs(radius-lower_r) , fabs(upper_r-radius) );
//double perseus_distance = sqrt( pow((x - radius*cos(perseus_theta)), 2.) + pow((y - radius*sin(perseus_theta)),2.) );
//
double scutum_K = 4.89;
double scutum_r0 = 4.90;
double scutum_theta0 =-0.62;
double scutum_theta = (scutum_K * log(radius/scutum_r0) + scutum_theta0);
n1 = floor(fabs(scutum_theta - theta)/(2.*M_PI));
n2 = ceil(fabs(scutum_theta - theta)/(2.*M_PI));
lower_r = scutum_r0 * exp((theta - scutum_theta0 + n1*2.*M_PI)/scutum_K);
upper_r = scutum_r0 * exp((theta - scutum_theta0 + n2*2.*M_PI)/scutum_K);
double scutum_distance = min( fabs(radius-lower_r) , fabs(upper_r-radius) );
//double scutum_distance = sqrt( pow((x - radius*cos(scutum_theta)), 2.) + pow((y - radius*sin(scutum_theta)),2.) );
*/
spiralarmdensity = spiral_arms;
}
density[Coord->indexD(ix,iy,iz)] = spiralarmdensity;
}
}
}
return ;
}
double TGeometry::GetPattern(int x1, int y1,int z1){
return density[Coord->indexD(x1,y1,z1)];
}
//UseSpiral:
void TGeometry::ApplySpiral(std::vector<double>& smoothdensity, double powerindex, double cut){
double smooth_sum=0.;
double Spiral_sum=0.;
vector<double> Spiral_density(density.size(),0);
for (int isp = 0; isp < Spiral_density.size(); isp++) {
Spiral_density[isp] = pow(density[isp], powerindex) ;
Spiral_density[isp] = min ( Spiral_density[isp], cut );
Spiral_density[isp] = max ( Spiral_density[isp], 1./cut );
}
//weighting masses, not densities
double volume;
int ind;
for(int ix=0; ix<Coord->GetDimX(); ix++)
for(int iy=0; iy<Coord->GetDimY(); iy++)
for(int iz=0; iz<Coord->GetDimZ(); iz++)
{
ind = Coord->indexD(ix, iy, iz);
volume = Coord->GetDeltaX(ix) * Coord->GetDeltaY(iy) * Coord->GetDeltaZ(iz);
smooth_sum += volume * smoothdensity[ind];
//MW130729: Choose between (A) and (B)
Spiral_sum += volume * smoothdensity[ind] * Spiral_density[ind]; //(A)
// Spiral_sum += volume * Spiral_density[ind]; //(B)
// cout << "[MW-DEBUG SPIRAL] " << ix << " " << iy << " " << iz << " " << volume << " | " << smooth_sum << " " << Spiral_sum << endl;
}
// for(int i=0;i<density.size();i++){
// gas_sum+=density[i];
// Spiral_sum+=Spiral_density[i];
// }
if(Spiral_sum==0) return ;
double boost=smooth_sum/Spiral_sum;
for(int i=0;i<smoothdensity.size();i++){
smoothdensity[i] *= boost*Spiral_density[i]; //(A)
// smoothdensity[i] = boost*Spiral_density[i]; //(B)
if(smoothdensity[i]<1.e-200){
smoothdensity[i]=1.e-200;
}
}
cout << "Spiral Arm Boost: " << boost << endl;
return ;
}