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# all functions - a

 ad2d ``` coordinate transformation : sexadecimal hour angle to decimal degree for x(,1:3) and sexadecimal to decimal for x(,4:6) see also : d2ad */ interpreted function, defined at ./astools.i line 3 ```

 almCl ``` NT almCl(alm) returns the power spectrum deduced from alms. interpreted function, defined at ./harmonic.i line 276 ```

 almF ``` NT field=almF(alm,nn) returns the recomposed field (dimensions nn*nn) using alm. field is of the form theta along absiss phi along ordinate interpreted function, defined at ./harmonic.i line 115 ```

 almF3D ``` NT field3D=almF3D(alm,nn) returns the 3D recomposed field (dimensions nn*nn*nn) using alm. field is of the form theta along absiss phi along ordinate r along alt ordinate EXAMPLE nn=10; #include "Dom/Density_utils.i" x=span(-1,1,nn)(,-:1:nn)(,,-:1:nn); y=span(-1,1,nn)(-:1:nn,)(,,-:1:nn); z=span(-1,1,nn)(-:1:nn,)(-:1:nn,,); u=1/sqrt((x-1.1)^2+(y-1.1)^2+0.1^2); v=Projec_Halo(u,[0.,0,0],[x,y,z],1.,sz=nn*2); alm=Falm(v,nn); u1=almF3D(alm,nn,xyz=1,rmax=1).re; w=where(x^2+y^2+z^2<1); pl,(u1 -u)(w)(*); pl,(u1)(w)(*),color=-6; interpreted function, defined at ./harmonic.i line 143 ```

 almT ``` almT interpreted function, defined at ./harmonic.i line 370 ```

 alm_cor ``` alm_cor interpreted function, defined at ./harmonic.i line 304 ```

 alm_lmax ``` alm_lmax(filename) Get value of LMAX in A(l,m) file FILENAME (can be used to assert validity of file). interpreted function, defined at ./healpix_io.i line 12 ``` SEE ALSO: alm_read,   alm_write

 alm_pack ``` alm_pack(a) -or- alm_pack(a, lmax) Returns packed A(l,m) data from array A. Input array A can be a real 2×(LMAX+1)×(LMAX+1) array or a complex (LMAX+1)×(LMAX+1) array or only the lower triangular part of A(l,m) packed as a complex vector with NUMBER elements or a 2×NUMBER real array. If A is real, then A(1,..) and A(2,..) are the real and imaginary parts of the A(l,m). The result is an array of float's with dimension 2×NUMBER such that: RESULT(1, ) = real part of the A(l,m) RESULT(2, ) = imaginary part of the A(l,m) and with: NUMBER = 1 + LMAX*(LMAX + 3)/2. Optional argument LMAX is an output variable to store the value of the parameter. interpreted function, defined at ./healpix_io.i line 86 ``` SEE ALSO: alm_unpack,   alm_write

 alm_rand ``` alm_rand interpreted function, defined at ./harmonic.i line 330 ```

 alm_read ``` alm_read(filename) Read data in A(l,m) file FILENAME. If keyword UNPACK is true, the result is a 2×(LMAX+1)×(LMAX+1) array ortherwise the result is the lower triangular part of A(l,m) packed as a 2×NUMBER array where: NUMBER = 1 + LMAX*(LMAX + 3)/2 In any case, the result is such that: RESULT(1,..) = real part of the A(l,m) RESULT(2,..) = imaginary part of the A(l,m) interpreted function, defined at ./healpix_io.i line 27 ``` SEE ALSO: alm_lmax,   alm_write

 alm_testF ``` NT field=almF(alm,nn) returns the recomposed field (dimensions nn*nn) using alm. field is of the form theta along absiss phi along ordinate interpreted function, defined at ./harmonic.i line 83 ```

 alm_tst ``` alm_tst interpreted function, defined at ./harmonic.i line 401 ```

 alm_unpack ``` alm_unpack(ap) Unpack a 2×NUMBER array AP into a 2×(LMAX+1)×(LMAX+1) array where: NUMBER = 1 + LMAX*(LMAX + 3)/2 In any case, the result is such that: RESULT(1,..) = real part of the A(l,m) RESULT(2,..) = imaginary part of the A(l,m) interpreted function, defined at ./healpix_io.i line 156 ``` SEE ALSO: alm_pack,   alm_read

 alm_write ``` alm_write, filename, a; Write A(l,m) data stored in array A into file FILENAME. If keyword OVERWRITE is true, FILENAME is overwritten if it already exists. Input array A can be a real 2×(LMAX+1)×(LMAX+1) array or a complex (LMAX+1)×(LMAX+1) array or only the lower triangular part of A(l,m) packed as a complex vector with NUMBER elements or a 2×NUMBER real array. If A is real, then A(1,..) and A(2,..) are the real and imaginary parts of the A(l,m). interpreted function, defined at ./healpix_io.i line 53 ``` SEE ALSO: alm_lmax,   alm_read,   alm_pack

 angdist ``` angdist(z,h0=,k=,lambda0=,Omega_m=,q0=,silent=) Compute the Angular diameter distance (lumdist/(1+z)^2) interpreted function, defined at ./cosmo.i line 263 ``` SEE ALSO: lumdist,   ldist,   cosmo_param

 angsize ``` angsize(dl,z,h0=,k=,lambda0=,Omega_m=,q0=,silent=) Compute the apparent angular size of an object as a function of redshift. INPUTS: dl - proper size of the object (in kpc) z - redhsift values EXAMPLE: plot the angular size of a 50 kpc diameter galaxy as a function of redshift for the default cosmology (Lambda = 0.7, Omega_m=0.3) up to z = 5 z = span(0.1,5,100) //Angular size undefined at z = 0 pg,angsize(50,z),z; xytitles,"z","Angular Size (\")" interpreted function, defined at ./cosmo.i line 275 ``` SEE ALSO: lumdist,   ldist,   cosmo_param,   angdist,   propersize