--- /dev/null
+# Maple script to compute the coefficients of the LagrangeEquidistant
+# basis functions of degree p. These are used as shape functions for
+# Qp elements. For higher p just change variable p in line 10.
+# Call
+# perl -p -e 's/ *t0 = (.*);\n/ $1/g;' lagrange_txt
+# to get a c-code ready to be copied into the source codes.
+# $Id$
+# Ralf Hartmann, 2001
+
+ p := 10:
+
+ n_functions := p+1:
+
+ # first compute the support points
+ support_points := array(0..n_functions-1):
+ for i from 0 to n_functions-1 do
+ support_points[i] := i/(n_functions-1):
+ od;
+
+ poly := array(0..n_functions-1):
+
+ for i from 0 to n_functions-1 do
+ # note that the interp function wants vectors indexed from
+ # one and not from zero.
+ values := array(1..n_functions):
+ for j from 1 to n_functions do
+ values[j] := 0:
+ od:
+ values[i+1] := 1:
+
+ shifted_support_points := array (1..n_functions):
+ for j from 1 to n_functions do
+ shifted_support_points[j] := support_points[j-1]:
+ od:
+
+ poly[i] := interp (shifted_support_points, values, x):
+ od:
+
+ readlib(C):
+ writeto(lagrange_output):
+ printf(` case %d:\n {\n static const double x%d[%d]=\n {`, p,p,(p+1)*(p+1)):
+ a := array(0..n_functions-1, 0..n_functions-1):
+ b := array(0..n_functions-1):
+ # a[i,j] is the jth coefficient of the ith base function.
+ for i from 0 to n_functions-1 do
+ for j from 0 to n_functions-1 do
+ b[j] := coeff(poly[i], x, j):
+ od:
+ C(b[0]):
+ for j from 1 to n_functions-1 do
+ printf(`,`):
+ C(b[j]):
+ od:
+ if (i<n_functions-1) then
+ printf(`,`):
+ fi:
+ od:
+ printf(`};\n x=&x%d[0];\n break;\n }\n`, p):
+
+
+
--- /dev/null
+#---------------------------------------------------------------------------
+# $Id$
+# Version: $Name$
+#
+# Copyright (C) 2005, 2006, 2007, 2008, 2009, 2010, 2012 by the deal authors
+#
+# This file is subject to QPL and may not be distributed
+# without copyright and license information. Please refer
+# to the file deal.II/doc/license.html for the text and
+# further information on this license.
+#
+#---------------------------------------------------------------------------
+
+#---------------------------------------------------------------------------
+# This perl script translates lapack_templates.h.in to lapack_templates.h
+#
+# In the *.in file, every BLAS/LAPACK function which is defined for
+# double precision, i.e. having a name like 'dfoo_', is expanded to
+# itself plus the same function for single precision, namely
+# 'sfoo_'. Additionally, a C++ function 'foo' without the prefix
+# letter and the trailing underscore is generated, such that the
+# fortran functions can easily be called from templates. The
+# implementation of this function is modified due to the configure
+# variables 'HAVE_DFOO_' and 'HAVE_DFOO_': if these are set, then the
+# lapack functions 'dfoo_' and 'sfoo_' will be called, if not, an
+# exception will be thrown.
+#
+# Therefore, in order to be able to call a LAPACK function, the
+# functions have to be tested by configure. Search for the section
+# "Check for LAPACK..." in deal.II/configure.in and add the functions
+# 'dfoo_' and 'sfoo_' to the tests at the end of that section.
+#
+
+
+my $templates;
+my $double;
+
+
+print << 'EOT'
+//---------------------------------------------------------------------------
+//
+// This file was automatically generated from lapack_templates.h.in
+// See blastemplates in the deal.II contrib directory
+//
+// Copyright (C) 2005, 2006, 2007, 2008, 2009, 2010 by the deal authors
+//
+// This file is subject to QPL and may not be distributed
+// without copyright and license information. Please refer
+// to the file deal.II/doc/license.html for the text and
+// further information on this license.
+//
+//---------------------------------------------------------------------------
+
+#ifndef __LAPACK_TEMPLATES_H
+#define __LAPACK_TEMPLATES_H
+
+#include <deal.II/base/config.h>
+#include <deal.II/lac/lapack_support.h>
+
+extern "C"
+{
+EOT
+ ;
+
+while(<>)
+{
+ # Write comment lines literally
+ if (m'^\s*//')
+ {
+ print;
+ next;
+ }
+ # Lines of the form 'typename functionname (...'
+ # where functionname is of the form d..._,
+ # that is a double precision LAPACK function
+ if (m'\s*(\w+)\s+d(\w+)_\s*\(')
+ {
+ $double = $_;
+ my $type = $1;
+ my $name = $2;
+ my $capname = $name;
+ $capname =~ tr/[a-z]/[A-Z]/;
+ while (<>)
+ {
+ $double .= $_;
+ last if (m';');
+ }
+ my $single = $double;
+ $single =~ s/d$name/s$name/;
+ $single =~ s/double/float/g;
+ print $double,$single;
+
+ $double =~ m/\(([^\)]*)/;
+ my $args = $1;
+ # The arglist for the C++ function
+ $args =~ s/\s+/ /g;
+ # The arglist handed down to the FORTRAN function
+ $args2 = $args;
+ # Fortunately, all arguments are pointers, so we can use the *
+ # to separate data type and argument name
+ $args2 =~ s/\w+\*//g;
+ $args2 =~ s/const//g;
+ $args2 =~ s/\s//g;
+ # The arglist of the empty C++ function
+ $args0 = $args;
+ $args0 =~ s/\*[^,]*,/\*,/g;
+ $args0 =~ s/\*[^,]*$/\*/g;
+
+ # First, do the general template None of these functions is
+ # implemented, but they allow us to link for instance with
+ # long double lapack support
+ my $numbers = 1;
+ my $argst = $args0;
+ my $typet = $type;
+ while ($argst =~ s/double/number$numbers/)
+ {
+ $numbers++;
+ }
+ $typet =~ s/double/number1/g;
+
+ $templates .= "\n\n/// Template wrapper for LAPACK functions d$name and s$name\n";
+ $templates .= "template<typename number1";
+ for (my $i=2;$i<$numbers;++$i)
+ {
+ $templates .= ", typename number$i";
+ }
+ $templates .= ">\ninline $typet\n$name ($argst)\n";
+ $templates .= "{\n Assert (false, ExcNotImplemented());\n}";
+
+ # The specialization for double. Note that we always have two
+ # versions, one implemented and calling LAPACK, the other not
+ # implemented
+ $templates .= "\n\n#ifdef HAVE_D$capname\_";
+ $templates .= "\ninline $type\n$name ($args)\n{\n d$name\_ ($args2);\n}\n";
+ $templates .= "#else\ninline $type\n$name ($args0)\n";
+ $templates .= "{\n Assert (false, LAPACKSupport::ExcMissing(\"d$name\"));\n}\n#endif\n";
+
+ $args =~ s/double/float/g;
+ $args0 =~ s/double/float/g;
+ $type =~ s/double/float/g;
+ $templates .= "\n\n#ifdef HAVE_S$capname\_";
+ $templates .= "\ninline $type\n$name ($args)\n{\n s$name\_ ($args2);\n}\n";
+ $templates .= "#else\ninline $type\n$name ($args0)\n";
+ $templates .= "{\n Assert (false, LAPACKSupport::ExcMissing(\"s$name\"));\n}\n#endif\n";
+ }
+}
+
+print "\n}\n\nDEAL_II_NAMESPACE_OPEN\n";
+
+print "$templates\n\nDEAL_II_NAMESPACE_CLOSE\n\n#endif\n";
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