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 all functions  - e
 
 
 
 
 
 
| edit_times 
 | 
             edit_times, file  
          or edit_times, file, keep_list  
          or edit_times, file, keep_list, new_times, new_ncycs  
 
     edits the records for FILE.  The KEEP_LIST is a 0-origin index list  
     of records to be kept, or nil to keep all records.  The NEW_TIMES  
     array is the list of new time values for the (kept) records, and  
     the NEW_NCYCS array is the list of new cycle number values for the  
     (kept) records.  Either NEW_TIMES, or NEW_NCYCS, or both, may be  
     nil to leave the corresponding values unchanged.  If non-nil,  
     NEW_TIMES and NEW_NCYCS must have the same length as KEEP_LIST,  
     or, if KEEP_LIST is nil, as the original number of records in  
     the file.  If KEEP_LIST, NEW_TIME, and NEW_NCYCS are all omitted  
     or nil, then edit_times removes records as necessary to ensure  
     that the remaining records have monotonically increasing times,  
     or, if no times are present, monotonically increasing ncycs.  
     (The latest record at any given time/ncyc is retained, and earlier  
     records are removed.)  
     In no case does edit_times change the FILE itself; only Yorick's  
     in-memory model of the file is altered.  
builtin function, documented at i0/std.i   line 2412  
 |  
| SEE ALSO: | get_times,   
  get_ncycs,   
  jt,   
  jc |  
 
 
 
| ell_am 
 | 
             ell_am(u)  
          or ell_am(u,m)  
 
     returns the "amplitude" (an angle in radians) for the Jacobi  
     elliptic functions at U, with parameter M.  That is,  
        phi = ell_am(u,m)  
     means that  
        u = integral[0 to phi]( dt / sqrt(1-m*sin(t)^2) )  
     Thus ell_am is the inverse of the incomplete elliptic function  
     of the first kind ell_f.  See help,elliptic for more.  
interpreted function, defined at i/elliptic.i   line 93  
 |  
| SEE ALSO: | elliptic |  
 
 
 
| ell_e 
 | 
             ell_e(phi,m)  
 
     returns the incomplete elliptic integral of the second kind E(phi|M).  
     That is,  
        u = ell_e(phi,m)  
     means that  
        u = integral[0 to phi]( dt * sqrt(1-m*sin(t)^2) )  
     See help,elliptic for more.  
interpreted function, defined at i/elliptic.i   line 240  
 |  
| SEE ALSO: | elliptic,   
  ell_f |  
 
 
 
| ell_f 
 | 
             ell_f(phi,m)  
 
     returns the incomplete elliptic integral of the first kind F(phi|M).  
     That is,  
        u = ell_f(phi,m)  
     means that  
        u = integral[0 to phi]( dt / sqrt(1-m*sin(t)^2) )  
     See help,elliptic for more.  
interpreted function, defined at i/elliptic.i   line 180  
 |  
| SEE ALSO: | elliptic,   
  ell_e |  
 
 
 
| ellip2_e 
 | 
             ellip2_e(m)  
 
     returns the complete elliptic integral of the second kind E(M):  
        E(M) = integral[0 to pi/2]( dt * sqrt(1-M*sin(t)^2) )  
     accurate to 2e-8 for 0<=M<=1  
interpreted function, defined at i/elliptic.i   line 408  
 |  
| SEE ALSO: | elliptic,   
  ellip_k,   
  ell_e |  
 
 
 
| ellip2_k 
 | 
             ellip2_k(m)  
 
     returns the complete elliptic integral of the first kind K(M):  
        K(M) = integral[0 to pi/2]( dt / sqrt(1-M*sin(t)^2) )  
     accurate to 2e-8 for 0<=M<1  
interpreted function, defined at i/elliptic.i   line 391  
 |  
| SEE ALSO: | elliptic,   
  ellip_e,   
  ell_f |  
 
 
 
| ellip_e 
 | 
             ellip_e(m)  
 
     returns the complete elliptic integral of the second kind E(M):  
        E(M) = integral[0 to pi/2]( dt * sqrt(1-M*sin(t)^2) )  
     See help,elliptic for more.  
interpreted function, defined at i/elliptic.i   line 341  
 |  
| SEE ALSO: | elliptic,   
  ellip_k,   
  ell_e |  
 
 
 
| ellip_k 
 | 
             ellip_k(m)  
 
     returns the complete elliptic integral of the first kind K(M):  
        K(M) = integral[0 to pi/2]( dt / sqrt(1-M*sin(t)^2) )  
     See help,elliptic for more.  
interpreted function, defined at i/elliptic.i   line 303  
 |  
| SEE ALSO: | elliptic,   
  ellip_e,   
  ell_f |  
 
 
 
| eps 
 | 
             eps, name  
 
     writes the picture in the current graphics window to the Encapsulated  
     PostScript file NAME+".epsi" (i.e.- the suffix .epsi is added to NAME).  
     The eps function requires the ps2epsi utility which comes with the  
     project GNU Ghostscript program.  Any hardcopy file associated with  
     the current window is first closed, but the default hardcopy file is  
     unaffected.  As a side effect, legends are turned off and color table  
     dumping is turned on for the current window.  
     The external variable PS2EPSI_FORMAT contains the format for the  
     command to start the ps2epsi program.  
interpreted function, defined at i0/graph.i   line 177  
 |  
| SEE ALSO: | hcps,   
  window,   
  fma,   
  hcp,   
  hcp_finish,   
  plg |  
 
 
 
 
 
 
| eq_nocopy 
 | 
             eq_nocopy, y, x  
 
     is the same as  
            y= x  
     except that if x is an array, it is not copied, even if it is  
     not a temporary (i.e.- an expression).  Having multiple variables  
     reference the same data can be confusing, which is why the default  
     = operation copies the array.  The most important use of eq_nocopy  
     involves pointers or lists:  
            y= *py  
	    z= _car(list)  
     always causes the data pointed to by py to be copied, while  
            eq_nocopy, y, *py  
	    eq_nocopy, z, _car(list)  
     does not copy the data - often more nearly what you wanted.  
     Note that scalar int, long, and double variables are always copied,  
     so you cannot count on eq_nocopy setting up an "equivalence"  
     between variables.  
builtin function, documented at i0/std.i   line 287  
 |  
 
 
 
| erf 
 | 
             erf(x)  
 
    return erf(x), 2./sqrt(pi) * integral[0 to x](exp(-t^2)*dt)  
interpreted function, defined at i/dawson.i   line 50  
 |  
| SEE ALSO: | erfc,   
  dawson |  
 
 
 
| erfc 
 | 
             erfc(x)  
 
     returns the complementary error function 1-erf with fractional  
     error less than 1.2e-7 everywhere.  
 |  
 
 
 
| erfc 
 | 
             erfc(x)  
 
    return erfc(x), 2./sqrt(pi) * integral[x to infinity](exp(-t^2)*dt)  
 |  
| SEE ALSO: | erf,   
  dawson |  
 
 
 
| error 
 | 
             exit, msg  
             error, msg  
 
     Exits the current interpreted *main* program, printing the MSG.  
     (MSG can be omitted to print a default.)  
     In the case of exit, the result is equivalent to an immediate  
     return from every function in the current calling chain.  
     In the case of error, the result is the same as if an error had  
     occurred in a compiled routine.  
builtin function, documented at i0/std.i   line 2535  
 |  
| SEE ALSO: | print,   
  write,   
  batch,   
  catch |  
 
 
 
 
 
 
| evolve 
 | 
             evolve, time1  
          or evolve, time1, time0  
 
     Step the hydro calculation forward to TIME1,  
     starting with the initial conditions in the  
     RT, z, and v arrays at time TIME0 (default 0.0  
     if omitted).  The calculation also depends on  
     the constants M (mass/area/zone) and gammaM1  
     (gamma-1 for the gamma-law equation of state).  
     The pressure array p is updated in addition to  
     the primary state arrays RT, z, and v.  
     Boundary conditions are specified by setting  
     either a boundary pressure or a boundary  
     velocity at each end of the fluid column.  
     bc0_v   - Boundary velocity at z(0), or []  
               if z(0) has pressure BC.  
     bc0_p   - Boundary pressure beyond z(0).  
     bc0_time  - If bc0_v or bc0_p is an array,  
                 bc0_time is an array of the same  
                 length specifying the corresponding  
                 times for time dependent BCs.  
     bc0_Z   - Acoustic impedance at z(0) if bc0_v  
               is nil (default is 0).  
     bcN_v, bcN_p, bcN_time, and bcN_Z have the same  
     meanings for the z(n_zones) boundary.  
     The worker routines OutputResults and  
     TakeStep must be supplied.  
interpreted function, defined at i/demo1.i   line 119  
 |  
 
 
 
 
 
 
 
 
 
| expm1 
 | 
             expm1(x)  
          or expm1(x, yp)  
 
     return exp(x)-1 if abs(x)>1.e-4, otherwise x  
     in the second form, returns exp(x) to the second argument  
builtin function, documented at i0/hex.i   line 505  
 |  
| SEE ALSO: | exp |  |