1<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> 2 3<!--Converted with LaTeX2HTML 2018.3 (Released July 19, 2018) --> 4<HTML lang="EN"> 5<HEAD> 6<TITLE>synfast</TITLE> 7<META NAME="description" CONTENT="synfast"> 8<META NAME="keywords" CONTENT="facilities"> 9<META NAME="resource-type" CONTENT="document"> 10<META NAME="distribution" CONTENT="global"> 11 12<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=utf-8"> 13<META NAME="viewport" CONTENT="width=device-width, initial-scale=1.0"> 14<META NAME="Generator" CONTENT="LaTeX2HTML v2018.3"> 15 <link rel='apple-touch-icon' sizes='180x180' href='images/favicons/apple-touch-icon.png?v=2017'> 16 <link rel='icon' type='image/png' sizes='32x32' href='images/favicons/favicon-32x32.png?v=2017'> 17 <link rel='icon' type='image/png' sizes='16x16' href='images/favicons/favicon-16x16.png?v=2017'> 18 <link rel='manifest' href='images/favicons/manifest.json?v=2017'> 19 <link rel='mask-icon' href='images/favicons/safari-pinned-tab.svg?v=2017' color='#5bbad5'> 20 <link rel='shortcut icon' href='images/favicons/favicon.ico?v=2017'> 21 <meta name='apple-mobile-web-app-title' content='HEALPix'> 22 <meta name='application-name' content='HEALPix'> 23 <meta name='msapplication-config' content='images/favicons/browserconfig.xml?v=2017'> 24 <meta name='theme-color' content='#ffffff'> 25 26<LINK REL="STYLESHEET" HREF="facilities.css"> 27 28<LINK REL="next" HREF="fac_ud_grade.htm"> 29<LINK REL="previous" HREF="fac_smoothing.htm"> 30<LINK REL="next" HREF="fac_ud_grade.htm"> 31</HEAD> 32 33<body text="#000000" bgcolor="#FFFFFA"> 34 35<DIV CLASS="navigation"><!--Navigation Panel--> 36<A 37 HREF="fac_smoothing.htm"> 38<IMG WIDTH="63" HEIGHT="24" ALT="previous" SRC="prev.png"></A> 39<A 40 HREF="fac_HEALPix_F90_facilities.htm"> 41<IMG WIDTH="26" HEIGHT="24" ALT="up" SRC="up.png"></A> 42<A 43 HREF="fac_ud_grade.htm"> 44<IMG WIDTH="37" HEIGHT="24" ALT="next" SRC="next.png"></A> 45<A ID="tex2html133" 46 HREF="fac_TABLE_CONTENTS.htm"> 47<IMG WIDTH="65" HEIGHT="24" ALT="contents" SRC="contents.png"></A> 48<BR> 49<B> Previous:</B> <A 50 HREF="fac_smoothing.htm">smoothing</A> 51 52<B>Up:</B> <A 53 HREF="fac_HEALPix_F90_facilities.htm">HEALPix/F90 facilities</A> 54 55<B> Next:</B> <A 56 HREF="fac_ud_grade.htm">ud_grade</A> 57<B> Top:</B> <a href="main.htm">Main Page</a></DIV> 58<!--End of Navigation Panel--> 59 60<H1><A ID="SECTION1400"></A> 61<A ID="fac:synfast"></A> 62<BR> 63 64</H1> 65 66<P> 67<b><font size=+6><FONT COLOR="#CC0000">synfast</FONT></font></b><hr> 68<H3>This program can be used to create <b>HEALPix</b> maps (temperature only 69or temperature and polarisation) computed as realisations 70of random Gaussian 71fields on a sphere characterized by the user provided 72theoretical power spectra, 73or as constrained realisations of such fields characterised by the user 74provided <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 75 ALT="$a_{\ell m}$"></SPAN> coefficients and/or power spectra. 76Total operation count scales as 77 <!-- MATH 78 ${\cal {O}}(N_{\mathrm{pix}}^{1/2}\ell_{\mathrm{max}}^2)$ 79 --> 80<SPAN CLASS="MATH"><IMG STYLE="height: 3.21ex; vertical-align: -0.91ex; " SRC="fac_img26.png" 81 ALT="${\cal {O}}(N_{\mathrm{pix}}^{1/2}\ell_{\mathrm{max}}^2 )$"></SPAN> where <!-- MATH 82 $N_{\mathrm{pix}}$ 83 --> 84<SPAN CLASS="MATH"><I>N</I><SUB>pix</SUB></SPAN> is the total number of pixels and 85<!-- MATH 86 $\ell_{\mathrm{max}}$ 87 --> 88<SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img25.png" 89 ALT="$\ell_{\mathrm{max}}$"></SPAN> is the limiting spherical harmonics order. 90The map resolution, Gaussian beam FWHM, 91and random seed for the simulation can be selected by the user. 92Spherical harmonics are either generated using the recurrence relations 93during the execution of spectral synthesis, or precomputed and read in 94before the synthesis is executed. The latter is no longer recommended since 95it provides no acceleration since the introduction of optimized algorithms 96in <b>HEALPix</b> v2.20. </H3> 97Location in HEALPix directory tree: <a href="https://sourceforge.net/p/healpix/code/1005/tree/trunk/src/f90/synfast/synfast.f90"><b>src/f90/synfast/synfast.f90</b></a> 98 99<P> 100<hr><h1>FORMAT </h1><blockquote><h3>% 101synfast [options] [parameter_file] 102</h3></blockquote> 103 104<P> 105<hr><H1>COMMAND LINE OPTIONS</H1> 106 <DL COMPACT><DT> 107<B><TT>-d</TT></B> 108<DD><DT> 109<B><TT>--double</TT></B> 110<DD>double precision mode (see 111<A HREF="fac_Using_HEALPix_Fortran_90_fa.htm#fac:subsec:ioprec">Notes on double/single precision modes</A> 112) 113 <DT> 114<B><TT>-s</TT></B> 115<DD><DT> 116<B><TT>--single</TT></B> 117<DD>single precision mode (default) 118 </DL> 119 120<P> 121<hr> 122<H1>QUALIFIERS</H1> 123 124 <DL COMPACT><DT> 125<B>infile = </B> 126<DD><A ID="fac:synfast:infile"></A>Defines the input power spectrum file, 127 (default= cl.fits). Note that <TT>infile</TT> is now optional : 128 <FONT COLOR="#CC0000">synfast</FONT> can run even if only <TT>almsfile</TT> is provided. 129 <DT> 130<B>outfile = </B> 131<DD><A ID="fac:synfast:outfile"></A>Defines the output (RING ordered) map file, 132(default= map.fits). Note that <TT>outfile</TT> is now optional: if it set to 133 `' (empty string), mo map is synthesized but the <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 134 ALT="$a_{\ell m}$"></SPAN> generated can be output. 135 <DT> 136<B>outfile_alms = </B> 137<DD><A ID="fac:synfast:outfile_alms"></A>Defines the FITS file in which to output <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 138 ALT="$a_{\ell m}$"></SPAN> used 139 for the simulation (default= `') 140 <DT> 141<B>simul_type = </B> 142<DD><A ID="fac:synfast:simul_type"></A>Defines the simulation type, 1=temperature only (1 field), 143 2=temperature+polarisation (3 fields), 3=temperature and its first 144spatial derivatives (3 fields), 145 4=temperature and its first and second spatial derivatives (6 fields), 5=temperature 146 and polarisation, and their first derivatives (9 fields), 6=same as 5 147 plus the second derivatives of (T,Q,U) (18 fields). 148(default= 1). 149 <DT> 150<B>nsmax = </B> 151<DD><A ID="fac:synfast:nsmax"></A>Defines the resolution of the map. 152(default= 32) 153 <DT> 154<B>nlmax = </B> 155<DD><A ID="fac:synfast:nlmax"></A>Defines the maximum <SPAN CLASS="MATH"><IMG STYLE="height: 1.69ex; vertical-align: -0.10ex; " SRC="fac_img5.png" 156 ALT="$\ell$"></SPAN> value 157to be used in the simulation. WARNING: <!-- MATH 158 $\ell_{\mathrm{max}}$ 159 --> 160<SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img25.png" 161 ALT="$\ell_{\mathrm{max}}$"></SPAN> can not exceed 162the value <SPAN CLASS="MATH"><IMG STYLE="height: 1.52ex; vertical-align: -0.10ex; " SRC="fac_img67.png" 163 ALT="$4\cdot$"></SPAN> <TT>nsmax</TT>, because the coefficients of the average Fourier 164pixel window functions 165are precomputed and provided up to this limit. 166(default= 64) 167 <DT> 168<B>iseed = </B> 169<DD><A ID="fac:synfast:iseed"></A>Defines the random seed to be used 170for the generation of <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 171 ALT="$a_{\ell m}$"></SPAN>s from the power spectrum. 172(default= -1) 173 <DT> 174<B>fwhm_arcmin = </B> 175<DD><A ID="fac:synfast:fwhm_arcmin"></A>Defines the FWHM size in arcminutes 176of the simulated Gaussian beam. 177(default= 420.0) 178<DT> 179<B>beam_file = </B> 180<DD><A ID="fac:synfast:beam_file"></A>Defines the FITS file (see <A HREF="fac_Using_HEALPix_Fortran_90_fa.htm#fac:subsec:beamfiles">”Beam window function files” in introduction</A>) describing the 181 Legendre window 182 function of the circular beam to be used for the 183 simulation. If set to an existing file name, it will override the 184 <TT>fhwm_arcmin</TT> given above. (default=`') 185<DT> 186<B>almsfile = </B> 187<DD><A ID="fac:synfast:almsfile"></A>Defines the input filename for a file 188 containing <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 189 ALT="$a_{\ell m}$"></SPAN>s for constrained realisations. 190(default= `'). If <TT>apply_windows</TT> is <EM>false</EM> 191those <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 192 ALT="$a_{\ell m}$"></SPAN>s are used as they are, without being multiplied 193by the beam or pixel window function (with the assumption that they already have the 194 correct window functions). If <TT>apply_windows</TT> is <EM>true</EM>, the beam and 195 pixel window functions chosen above are applied to the constraining <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 196 ALT="$a_{\ell m}$"></SPAN> (with the 197 assumption that those are free of beam and pixel window function). The code 198 does not check the validity of these asumptions; if none is true, use the 199 <A HREF="fac_alteralm.htm#fac:alteralm">alteralm</A> facility to modify or remove 200 the window functions contained in the constraining <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 201 ALT="$a_{\ell m}$"></SPAN>. 202<DT> 203<B>apply_windows = </B> 204<DD><A ID="fac:synfast:apply_windows"></A>Determines how the constraining <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 205 ALT="$a_{\ell m}$"></SPAN> read from 206 <TT>almsfile</TT> are 207 treated with respect to window functions; see above for details. 208 y, yes, t, true, .true. and 1 are considered as <EM>true</EM>, while n, no, f, 209 false, .false. and 0 are considered as <EM>false</EM>, (default = .false.). 210<DT> 211<B>plmfile = </B> 212<DD><A ID="fac:synfast:plmfile"></A>Defines the input filename for a file 213 containing precomputed Legendre polynomials <SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img51.png" 214 ALT="$P_{\ell m}$"></SPAN>. 215(default= `') 216<DT> 217<B>windowfile = </B> 218<DD><A ID="fac:synfast:windowfile"></A>Defines the input filename for the pixel 219 smoothing windows 220(default= pixel_window_n????.fits, see below). 221<DT> 222<B>winfiledir = </B> 223<DD><A ID="fac:synfast:winfiledir"></A>Defines the directory in which windowfile 224 is located (default: see 225<A HREF="fac_Using_HEALPix_Fortran_90_fa.htm#fac:subsec:defdir">Notes on default files and directories</A>). 226 </DL> 227 228<P> 229<hr> 230<H1>DESCRIPTION</H1> 231<blockquote> 232Synfast reads the power spectrum from a file in ascii FITS 233format. This can contain either just the temperature power spectrum <SPAN CLASS="MATH"><IMG STYLE="height: 2.51ex; vertical-align: -0.67ex; " SRC="fac_img84.png" 234 ALT="$C^T_{\ell}$"></SPAN>s or 235temperature and polarisation power spectra: <SPAN CLASS="MATH"><IMG STYLE="height: 2.51ex; vertical-align: -0.67ex; " SRC="fac_img84.png" 236 ALT="$C^T_{\ell}$"></SPAN>, <SPAN CLASS="MATH"><IMG STYLE="height: 2.51ex; vertical-align: -0.67ex; " SRC="fac_img85.png" 237 ALT="$C^E_{\ell}$"></SPAN>, <SPAN CLASS="MATH"><IMG STYLE="height: 2.51ex; vertical-align: -0.67ex; " SRC="fac_img86.png" 238 ALT="$C^B_{\ell}$"></SPAN> 239and <!-- MATH 240 $C^{T\times E}_{\ell}$ 241 --> 242<SPAN CLASS="MATH"><IMG STYLE="height: 2.62ex; vertical-align: -0.68ex; " SRC="fac_img87.png" 243 ALT="$C^{T\times E}_{\ell}$"></SPAN> (see <A HREF="#fac:synfast:note1">Note 1, below</A>). If <TT>simul_type = 2</TT> <FONT COLOR="#CC0000">synfast</FONT> generates 244Q and U maps as well as the temperature map. The output map(s) 245is (are) saved in a FITS file. 246The <SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img88.png" 247 ALT="$C_{\ell}$"></SPAN>s are used up to the specified 248<!-- MATH 249 $\ell_{\mathrm{max}}$ 250 --> 251<SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img25.png" 252 ALT="$\ell_{\mathrm{max}}$"></SPAN>, which can not exceed <SPAN CLASS="MATH">4 x </SPAN> nsmax. If <TT>simul_type = 3</TT> or 253<TT>4</TT> the first derivatives of the temperature field or the first and second derivatives respectively 254are output as well as the temperature itself: <SPAN CLASS="MATH"><I>T</I>(<I>p</I>)</SPAN>, <!-- MATH 255 $\left({\partial T}/{\partial \theta}, {\partial T}/{\partial \phi}/\sin\theta \right)$ 256 --> 257<SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img89.png" 258 ALT="$\left({\partial T}/{\partial \theta}, {\partial T}/{\partial \phi}/\sin\theta \right) 259$"></SPAN>, <!-- MATH 260 $\left({\partial^2 T}/{\partial \theta^2}, {\partial^2 T}/{\partial 261 \theta\partial\phi}/\sin\theta,\right.$ 262 --> 263<SPAN CLASS="MATH"><IMG STYLE="height: 2.45ex; vertical-align: -0.68ex; " SRC="fac_img90.png" 264 ALT="$\left({\partial^2 T}/{\partial \theta^2}, {\partial^2 T}/{\partial 265\theta\partial\phi}/\sin\theta,\right. $"></SPAN> 266<!-- MATH 267 $\left.{\partial^2 T}/{\partial \phi^2}/\sin^2\theta \right)$ 268 --> 269<SPAN CLASS="MATH"><IMG STYLE="height: 2.45ex; vertical-align: -0.68ex; " SRC="fac_img91.png" 270 ALT="$\left.{\partial^2 T}/{\partial \phi^2}/\sin^2\theta \right) $"></SPAN>. 271If <TT>simul_type = 5</TT> or 272<TT>6</TT> the first derivatives of the (T,Q,U) fields or the first and second derivatives respectively 273are output as well as the field themself: <SPAN CLASS="MATH"><I>T</I>(<I>p</I>)</SPAN>, <SPAN CLASS="MATH"><I>Q</I>(<I>p</I>)</SPAN>, <SPAN CLASS="MATH"><I>U</I>(<I>p</I>)</SPAN>, 274<!-- MATH 275 $\left({\partial T}/{\partial \theta}, {\partial Q}/{\partial \theta}, {\partial 276 U}/{\partial \theta}; {\partial T}/{\partial \phi}/\sin\theta, \ldots \right)$ 277 --> 278<SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img92.png" 279 ALT="$\left({\partial T}/{\partial \theta}, {\partial Q}/{\partial \theta}, {\partial 280U}/{\partial \theta}; {\partial T}/{\partial \phi}/\sin\theta, \ldots \right) 281$"></SPAN>, <!-- MATH 282 $\left({\partial^2 T}/{\partial \theta^2},\ldots; {\partial^2 T}/{\partial 283 \theta\partial\phi}/\sin\theta,\ldots ;\right.$ 284 --> 285<SPAN CLASS="MATH"><IMG STYLE="height: 2.45ex; vertical-align: -0.68ex; " SRC="fac_img93.png" 286 ALT="$\left({\partial^2 T}/{\partial \theta^2},\ldots; {\partial^2 T}/{\partial 287\theta\partial\phi}/\sin\theta,\ldots ;\right. $"></SPAN> 288<!-- MATH 289 $\left.{\partial^2 T}/{\partial \phi^2}/\sin^2\theta \ldots \right)$ 290 --> 291<SPAN CLASS="MATH"><IMG STYLE="height: 2.45ex; vertical-align: -0.68ex; " SRC="fac_img94.png" 292 ALT="$\left.{\partial^2 T}/{\partial \phi^2}/\sin^2\theta \ldots \right) $"></SPAN> 293<br><br>The random sequence seed for generation of <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 294 ALT="$a_{\ell m}$"></SPAN> from the 295power spectrum should be non-zero integer. If 0 is provided, a seed is generated 296randomly by the code, based on the current date and time. 297The map can be convolved with a gaussian beam for which a beamsize can 298be specified, or for an arbitrary <EM>circular</EM> beam for which the 299Legendre transform is provided. The map is automatically convolved with a pixel window 300function. These are stored in FITS files in 301the <TT>healpix/data</TT> directory. If <FONT COLOR="#CC0000">synfast</FONT> is not run in a directory 302which has these files, or from a directory which can reach these files 303by a `<TT>../data/</TT>' or `<TT>./data/</TT>' specification, the system 304variable <TT>HEALPIX</TT> is used to locate the main <b>HEALPix</b> directory 305and its <TT>data</TT> subdirectory is scanned. Failing this, the location of these 306files must be specified (using winfiledir). In the interactive mode this is 307requested only when necessary (see 308<A HREF="fac_Using_HEALPix_Fortran_90_fa.htm#fac:subsec:defdir">Notes on default directories</A> 309). 310<br><br>If some of the <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 311 ALT="$a_{\ell m}$"></SPAN> in the simulations are constrained eg. from observations, a FITS file 312with these <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 313 ALT="$a_{\ell m}$"></SPAN> can be read. This FITS file contains 314the <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 315 ALT="$a_{\ell m}$"></SPAN> for certain <SPAN CLASS="MATH"><IMG STYLE="height: 1.69ex; vertical-align: -0.10ex; " SRC="fac_img5.png" 316 ALT="$\ell$"></SPAN> and <SPAN CLASS="MATH"><I>m</I></SPAN> values 317and also the standard deviation for these <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 318 ALT="$a_{\ell m}$"></SPAN>. The sky 319realisation which <FONT COLOR="#CC0000">synfast</FONT> produces will be statistically consistent 320with the constraining <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 321 ALT="$a_{\ell m}$"></SPAN>. 322<br><br>The code can also be used 323to generate a set of <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 324 ALT="$a_{\ell m}$"></SPAN> matching the input power spectra, beam size and 325pixel size with or without actually synthesizing the map. Those <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 326 ALT="$a_{\ell m}$"></SPAN> can be 327used as an input (constraining <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 328 ALT="$a_{\ell m}$"></SPAN>) to another <FONT COLOR="#CC0000">synfast</FONT> run. 329<br><br> 330</blockquote> 331<blockquote> 332Spherical harmonics values in the synthesis are obtained from a 333recurrence on associated Legendre polynomials <!-- MATH 334 $P_{\ell m}(\theta)$ 335 --> 336<SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img52.png" 337 ALT="$P_{\ell m}(\theta)$"></SPAN>. 338This recurrence consumed most of the CPU time used by <FONT COLOR="#CC0000">synfast</FONT> up to version 3392.15. We have therefore included an option to load precomputed values for the 340<!-- MATH 341 $P_{\ell m}(\theta)$ 342 --> 343<SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img52.png" 344 ALT="$P_{\ell m}(\theta)$"></SPAN> from a file generated by the <b>HEALPix</b> facility 345<A HREF="fac_plmgen.htm#fac:plmgen">plmgen</A>. Since the introduction of accelerated spherical 346harmonic transforms in <b>HEALPix</b> v2.20, this feature is obsolete and should no 347longer be used. 348 349<P> 350<FONT COLOR="#CC0000">synfast</FONT> will issue a warning if the input FITS file for the power spectrum does 351not contain the keyword <TT>POLNORM</TT>. This keyword indicates that the convention 352used for polarization is consistent with CMBFAST (and consistent with <b>HEALPix</b> 3531.2). See the 354<A ID="tex2html25" 355 HREF="intro.htm"><b>HEALPix</b> Primer</A> 356for details on the 357polarization convention and the interface with CMBFAST. If the 358keyword is not found, <EM>no attempt will be made</EM> to renormalize the power 359spectrum. 360If the keyword is present, it will be inherited by the simulated map. 361 362<P> 363<A ID="fac:synfast:note1"></A><B>Note 1:</B> to allow the generation of maps (and <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 364 ALT="$a_{\ell m}$"></SPAN>) with <!-- MATH 365 $C^{T\times B}_{\ell} \ne 0$ 366 --> 367<SPAN CLASS="MATH"><IMG STYLE="height: 2.62ex; vertical-align: -0.68ex; " SRC="fac_img95.png" 368 ALT="$C^{T\times B}_{\ell} \ne 0$"></SPAN> and/or <!-- MATH 369 $C^{E\times B}_{\ell} \ne 0$ 370 --> 371<SPAN CLASS="MATH"><IMG STYLE="height: 2.62ex; vertical-align: -0.68ex; " SRC="fac_img96.png" 372 ALT="$C^{E\times B}_{\ell} \ne 0$"></SPAN>, 373see the subroutine <A HREF="./sub_create_alm.htm#sub:create_alm"><TT>create_alm</TT></A>. 374 375</blockquote> 376 377<P> 378<hr><H1>DATASETS</H1> 379<h3>The following datasets are involved in the <b><FONT COLOR="#CC0000">synfast</FONT></b> 380 processing.</h3> 381 382<TABLE CELLPADDING=3 BORDER="1"> 383<TR><TH ALIGN="LEFT" VALIGN="TOP" WIDTH=150><SPAN CLASS="textbf">Dataset</SPAN></TH> 384<TH ALIGN="LEFT" VALIGN="TOP" WIDTH=175><SPAN CLASS="textbf">Description</SPAN></TH> 385</TR> 386<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=150> </TD> 387<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 388</TR> 389<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=150> 390/data/pixel_window_nxxxx.fits</TD> 391<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>Files containing pixel windows for 392 various nsmax.</TD> 393</TR> 394<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=150> </TD> 395<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 396</TR> 397<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=150></TD> 398<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 399</TR> 400</TABLE> 401 402<P> 403<hr><H1>SUPPORT </H1><H3>This section lists those routines and facilities (including those <i>external</i> to the <b>HEALPix</b> distribution) which can assist in the utilisation of <b><FONT COLOR="#CC0000">synfast</FONT></b>.</H3> 404<DL COMPACT><DT> 405<B><A HREF="./sub_generate_beam.htm#sub:generate_beam">generate_beam</A></B> 406<DD>This <b>HEALPix</b> Fortran 407subroutine generates or reads the <SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img21.png" 408 ALT="$B(\ell)$"></SPAN> window function used in <FONT COLOR="#CC0000">synfast</FONT> 409 <DT> 410<B><A HREF="fac_map2gif.htm#fac:map2gif">map2gif</A></B> 411<DD>This <b>HEALPix</b> Fortran facility can be used to visualise the 412 output map of <FONT COLOR="#CC0000">synfast</FONT>. 413 <DT> 414<B><A HREF="./idl_mollview.htm#idl:mollview">mollview</A></B> 415<DD>This <b>HEALPix</b> IDL facility can be used to visualise the 416 output map of <FONT COLOR="#CC0000">synfast</FONT>. 417 <DT> 418<B><A HREF="fac_alteralm.htm#fac:alteralm">alteralm</A></B> 419<DD>This <b>HEALPix</b> Fortran facility can be 420 used to implement the beam and pixel window functions on the constraining 421 <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 422 ALT="$a_{\ell m}$"></SPAN>s (<TT>almsfile</TT> file). 423 <DT> 424<B><A HREF="fac_anafast.htm#fac:anafast">anafast</A></B> 425<DD>This <b>HEALPix</b> Fortran facility can analyse a <b>HEALPix</b> map and 426 save the <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 427 ALT="$a_{\ell m}$"></SPAN> and <SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img88.png" 428 ALT="$C_{\ell}$"></SPAN>s to be read by <FONT COLOR="#CC0000">synfast</FONT>. 429 <DT> 430<B><A HREF="fac_plmgen.htm#fac:plmgen">plmgen</A></B> 431<DD>This <b>HEALPix</b> Fortran facility can be used to generate precomputed Legendre polynomials. 432 433<P> 434</DL> 435 436<P> 437<hr><H1>EXAMPLE # 1:</H1> 438<tt><TABLE CELLPADDING=3> 439<TR><TD ALIGN="LEFT">synfast</TD> 440<TD ALIGN="LEFT"> </TD> 441</TR> 442</TABLE></tt> 443<blockquote> 444Synfast runs in interactive mode, self-explanatory. 445</blockquote> 446 447<P> 448 449<P> 450<hr><H1>EXAMPLE # 2:</H1> 451<tt><TABLE CELLPADDING=3> 452<TR><TD ALIGN="LEFT">synfast filename</TD> 453<TD ALIGN="LEFT"> </TD> 454</TR> 455</TABLE></tt> 456<blockquote>When 'filename' is present, <FONT COLOR="#CC0000">synfast</FONT> enters the non-interactive mode and parses 457its inputs from the file 'filename'. This has the following 458structure: the first entry is a qualifier which announces to the parser 459which input immediately follows. If this input is omitted in the 460input file, the parser assumes the default value. 461If the equality sign is omitted, then the parser ignores the entry. 462In this way comments may also be included in the file. 463In this example, the file contains the following qualifiers: 464<BR> 465<tt><A HREF="#fac:synfast:simul_type">simul_type</A>= 1</tt><br> 466<tt><A HREF="#fac:synfast:nsmax">nsmax</A>= 32</tt><br> 467<tt><A HREF="#fac:synfast:nlmax">nlmax</A>= 64</tt><br> 468<tt><A HREF="#fac:synfast:iseed">iseed</A>= -1</tt><br> 469<tt><A HREF="#fac:synfast:fwhm_arcmin">fwhm_arcmin</A>= 420.0</tt><br> 470<tt><A HREF="#fac:synfast:infile">infile</A>= cl.fits</tt><br> 471<tt><A HREF="#fac:synfast:outfile">outfile</A>= map.fits</tt><br> 472 473<P> 474Synfast reads in the <SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img88.png" 475 ALT="$C_{\ell}$"></SPAN> power spectrum in 'cl.fits' up to <SPAN CLASS="MATH"><IMG STYLE="height: 1.69ex; vertical-align: -0.10ex; " SRC="fac_img97.png" 476 ALT="$\ell=64$"></SPAN>, and 477produces the (RING ordered) map 478'map.fits' which has <!-- MATH 479 $N_{\mathrm{side}}=32$ 480 --> 481<SPAN CLASS="MATH"><I>N</I><SUB>side</SUB>=32</SPAN>. 482The map is convolved with a beam of FWHM 420.0 arcminutes. The <!-- MATH 483 $\hyperref{iseed}{}{}{fac:synfast:iseed}=-1$ 484 --> 485<SPAN CLASS="MATH"><IMG STYLE="height: 1.57ex; vertical-align: -0.29ex; " SRC="fac_img98.png" 486 ALT="$\hyperref{iseed}{}{}{fac:synfast:iseed}=-1$"></SPAN> sets 487the random seed for the realisation. A different <!-- MATH 488 $\hyperref{iseed}{}{}{fac:synfast:iseed}$ 489 --> 490<SPAN CLASS="MATH"><IMG STYLE="vertical-align: 20px" 491 SRC="fac_img99.png" 492 ALT="$\hyperref{iseed}{}{}{fac:synfast:iseed}$"></SPAN> would have given a different 493realisation from the same power spectrum. 494 495<P> 496Since <BR> 497<tt><A HREF="#fac:synfast:outfile_alms">outfile_alms</A></tt><br> 498<tt><A HREF="#fac:synfast:almsfile">almsfile</A></tt><br> 499<tt><A HREF="#fac:synfast:apply_windows">apply_windows</A></tt><br> 500<tt><A HREF="#fac:synfast:plmfile">plmfile</A></tt><br> 501<tt><A HREF="#fac:synfast:beam_file">beam_file</A></tt><br> 502<tt><A HREF="#fac:synfast:windowfile">windowfile</A></tt><br> 503were omitted, they take their default values (empty strings). 504This means that no file for constrained realisation or precomputed 505Legendre polynomials are read, the <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 506 ALT="$a_{\ell m}$"></SPAN> generated in the process are not 507output, and <FONT COLOR="#CC0000">synfast</FONT> attempts to find the pixel 508window files in the default directories (see 509<A HREF="fac_Using_HEALPix_Fortran_90_fa.htm#fac:subsec:defdir">Notes on default files and directories</A>). 510</blockquote> 511 512<P> 513<hr><H1>RELEASE NOTES</H1><blockquote> 514 <DL COMPACT><DT><DD><IMG WIDTH="14" HEIGHT="14" SRC="blueball.png" ALT="*"> 515 Initial release (<b>HEALPix</b> 0.90) 516 <DT><DD><IMG WIDTH="14" HEIGHT="14" SRC="blueball.png" ALT="*"> 517 Optional non-interactive operation. Proper FITS file 518 support. Improved reccurence algorithm for <!-- MATH 519 $P_{\ell m}(\theta)$ 520 --> 521<SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img52.png" 522 ALT="$P_{\ell m}(\theta)$"></SPAN> which can compute to higher <SPAN CLASS="MATH"><IMG STYLE="height: 1.69ex; vertical-align: -0.10ex; " SRC="fac_img5.png" 523 ALT="$\ell$"></SPAN> values. Improved pixel windows averaged over 524 actual HEALPix pixels. New functionality: constrained realisations, precomputed 525 <SPAN CLASS="MATH"><IMG STYLE="height: 2.04ex; vertical-align: -0.45ex; " SRC="fac_img51.png" 526 ALT="$P_{\ell m}$"></SPAN>. (<b>HEALPix</b> 1.00) 527 <DT><DD><IMG WIDTH="14" HEIGHT="14" SRC="blueball.png" ALT="*"> 528 New functionality: constrained realisations and pixel 529 windows are now available for polarization as well. Arbitrary 530 circular beams can be used. New parser (<b>HEALPix</b> 1.20) 531 <DT><DD><IMG WIDTH="14" HEIGHT="14" SRC="blueball.png" ALT="*"> 532 New functionnality: the generated <SPAN CLASS="MATH"><IMG STYLE="height: 1.46ex; vertical-align: -0.45ex; " SRC="fac_img14.png" 533 ALT="$a_{\ell m}$"></SPAN> can be output, and the map 534 synthesis itself can be skipped. First and second derivatives of the 535 temperature field can be produced on demand. 536 <DT><DD><IMG WIDTH="14" HEIGHT="14" SRC="blueball.png" ALT="*"> 537 New functionnality: First and second derivatives of the 538 <SPAN CLASS="MATH"><I>Q</I></SPAN> and <SPAN CLASS="MATH"><I>U</I></SPAN> Stokes field can be produced on demand. 539 <DT><DD><IMG WIDTH="14" HEIGHT="14" SRC="blueball.png" ALT="*"> 540 Bug correction: corrected numerical errors on derivatives 541<!-- MATH 542 $\partial X/\partial\theta$ 543 --> 544<SPAN CLASS="MATH"><IMG STYLE="height: 2.33ex; vertical-align: -0.68ex; " SRC="fac_img15.png" 545 ALT="$\partial X/\partial\theta$"></SPAN>, 546<!-- MATH 547 $\partial^2 X/(\partial\theta\partial\phi\sin\theta)$ 548 --> 549<SPAN CLASS="MATH"><IMG STYLE="height: 2.45ex; vertical-align: -0.68ex; " SRC="fac_img16.png" 550 ALT="$\partial^2 X/(\partial\theta\partial\phi\sin\theta)$"></SPAN>, 551<!-- MATH 552 $\partial^2 X/\partial \theta^2$ 553 --> 554<SPAN CLASS="MATH"><IMG STYLE="height: 2.45ex; vertical-align: -0.68ex; " SRC="fac_img17.png" 555 ALT="$\partial^2 X/\partial \theta^2$"></SPAN>, 556for <SPAN CLASS="MATH"><I>X</I>=<I>Q</I>,<I>U</I></SPAN>. See <A HREF="fac_Appendix.htm#fac:sec:bug_synder">this appendix</A> for details. 557 (<b>HEALPix</b> 2.14) 558 </DL> 559</blockquote> 560 561<P> 562<hr><H1>MESSAGES</H1><h3>This section describes error messages generated by <b><FONT COLOR="#CC0000">synfast</FONT></b> 563</h3> 564 565<TABLE CELLPADDING=3 BORDER="1"> 566<TR><TH ALIGN="LEFT" VALIGN="TOP" WIDTH=125><SPAN CLASS="textbf">Message</SPAN></TH> 567<TH ALIGN="LEFT" VALIGN="TOP" WIDTH=50><SPAN CLASS="textbf">Severity</SPAN></TH> 568<TH ALIGN="LEFT" VALIGN="TOP" WIDTH=175><SPAN CLASS="textbf">Text</SPAN></TH> 569</TR> 570<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 571<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 572<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 573</TR> 574<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 575can not allocate memory for array xxx</TD> 576<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50>Fatal</TD> 577<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>You do not have 578 sufficient system resources to run this 579 facility at the map resolution you required. 580 Try a lower map resolution.</TD> 581</TR> 582<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 583<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 584<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 585</TR> 586<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 587 588<P> 589this is not a binary table</TD> 590<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 591<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>the fitsfile you have specified is not 592of the proper format</TD> 593</TR> 594<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 595<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 596<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 597</TR> 598<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 599there are undefined values in the table!</TD> 600<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 601<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>the fitsfile you have specified is not 602of the proper format</TD> 603</TR> 604<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 605<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 606<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 607</TR> 608<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 609the header in xxx is too long</TD> 610<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 611<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>the fitsfile you have specified is not 612of the proper format</TD> 613</TR> 614<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 615<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 616<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 617</TR> 618<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 619XXX-keyword not found</TD> 620<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 621<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>the fitsfile you have specified is not 622of the proper format</TD> 623</TR> 624<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 625<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 626<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 627</TR> 628<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 629found xxx in the file, expected:yyyy</TD> 630<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 631<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175>the specified fitsfile does not 632contain the proper amount of data.</TD> 633</TR> 634<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> </TD> 635<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 636<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 637</TR> 638<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=125> 639 640<P></TD> 641<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=50> </TD> 642<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=175> </TD> 643</TR> 644</TABLE> 645 646<P> 647 648<P> 649 650 651<P> 652 653<P> 654 655<DIV CLASS="navigation"><HR> 656<!--Navigation Panel--> 657<A 658 HREF="fac_smoothing.htm"> 659<IMG WIDTH="63" HEIGHT="24" ALT="previous" SRC="prev.png"></A> 660<A 661 HREF="fac_HEALPix_F90_facilities.htm"> 662<IMG WIDTH="26" HEIGHT="24" ALT="up" SRC="up.png"></A> 663<A 664 HREF="fac_ud_grade.htm"> 665<IMG WIDTH="37" HEIGHT="24" ALT="next" SRC="next.png"></A> 666<A ID="tex2html133" 667 HREF="fac_TABLE_CONTENTS.htm"> 668<IMG WIDTH="65" HEIGHT="24" ALT="contents" SRC="contents.png"></A> 669<BR> 670<B> Previous:</B> <A 671 HREF="fac_smoothing.htm">smoothing</A> 672 673<B>Up:</B> <A 674 HREF="fac_HEALPix_F90_facilities.htm">HEALPix/F90 facilities</A> 675 676<B> Next:</B> <A 677 HREF="fac_ud_grade.htm">ud_grade</A> 678<B> Top:</B> <a href="main.htm">Main Page</a></DIV> 679<!--End of Navigation Panel--> 680<ADDRESS> 681Version 3.50, 2018-12-10 682</ADDRESS> 683</BODY> 684</HTML> 685
