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-rwxr-xr-xsrc/configure3
-rw-r--r--src/configure.ac1
-rw-r--r--src/matrixOperations/Makefile.am3
-rw-r--r--src/matrixOperations/Makefile.in3
-rw-r--r--src/matrixOperations/includes/logm.h23
-rw-r--r--src/matrixOperations/logm/Makefile.am87
-rw-r--r--src/matrixOperations/logm/Makefile.in682
-rw-r--r--src/matrixOperations/logm/cbal.c177
-rw-r--r--src/matrixOperations/logm/clogma.c92
-rw-r--r--src/matrixOperations/logm/comqr3.c246
-rw-r--r--src/matrixOperations/logm/corth.c112
-rw-r--r--src/matrixOperations/logm/cortr.c72
-rw-r--r--src/matrixOperations/logm/logm_internal.h37
-rw-r--r--src/matrixOperations/logm/slogma.c25
-rw-r--r--src/matrixOperations/logm/testDoubleLogm.c48
-rw-r--r--src/matrixOperations/logm/testFloatLogm.c37
-rw-r--r--src/matrixOperations/logm/wbdiag.c306
-rw-r--r--src/matrixOperations/logm/zlogma.c90
18 files changed, 2041 insertions, 3 deletions
diff --git a/src/configure b/src/configure
index 70bf49c5..317b7a8d 100755
--- a/src/configure
+++ b/src/configure
@@ -22149,7 +22149,7 @@ fi
#operations/multiplication/Makefile
#operations/division/Makefile
-ac_config_files="$ac_config_files Makefile lib/blas/Makefile lib/lapack/Makefile type/Makefile operations/Makefile operations/addition/Makefile operations/subtraction/Makefile operations/division/Makefile operations/multiplication/Makefile matrixOperations/Makefile matrixOperations/addition/Makefile matrixOperations/subtraction/Makefile matrixOperations/multiplication/Makefile matrixOperations/division/Makefile matrixOperations/cat/Makefile matrixOperations/transpose/Makefile matrixOperations/trace/Makefile matrixOperations/hilbert/Makefile matrixOperations/expm/Makefile matrixOperations/eye/Makefile matrixOperations/ones/Makefile matrixOperations/infiniteNorm/Makefile matrixOperations/inversion/Makefile matrixOperations/jmat/Makefile matrixOperations/chol/Makefile matrixOperations/determ/Makefile matrixOperations/dist/Makefile matrixOperations/fill/Makefile matrixOperations/magnitude/Makefile matrixOperations/squaredMagnitude/Makefile implicitList/Makefile elementaryFunctions/Makefile elementaryFunctions/cos/Makefile elementaryFunctions/cosh/Makefile elementaryFunctions/acos/Makefile elementaryFunctions/acosh/Makefile elementaryFunctions/sin/Makefile elementaryFunctions/sinh/Makefile elementaryFunctions/asin/Makefile elementaryFunctions/asinh/Makefile elementaryFunctions/tan/Makefile elementaryFunctions/tanh/Makefile elementaryFunctions/atan/Makefile elementaryFunctions/atan2/Makefile elementaryFunctions/atanh/Makefile elementaryFunctions/log/Makefile elementaryFunctions/log1p/Makefile elementaryFunctions/log10/Makefile elementaryFunctions/exp/Makefile elementaryFunctions/exp10/Makefile elementaryFunctions/sqrt/Makefile elementaryFunctions/lnp1m1/Makefile elementaryFunctions/pow/Makefile auxiliaryFunctions/Makefile auxiliaryFunctions/abs/Makefile auxiliaryFunctions/find/Makefile auxiliaryFunctions/frexp/Makefile auxiliaryFunctions/isempty/Makefile auxiliaryFunctions/isnan/Makefile auxiliaryFunctions/rand/Makefile auxiliaryFunctions/sign/Makefile auxiliaryFunctions/size/Makefile auxiliaryFunctions/length/Makefile auxiliaryFunctions/type/Makefile auxiliaryFunctions/pythag/Makefile auxiliaryFunctions/conj/Makefile statisticsFunctions/Makefile statisticsFunctions/mean/Makefile statisticsFunctions/sum/Makefile statisticsFunctions/variance/Makefile string/Makefile string/disp/Makefile string/string/Makefile signalProcessing/Makefile signalProcessing/fft/Makefile signalProcessing/ifft/Makefile signalProcessing/levin/Makefile signalProcessing/conv/Makefile signalProcessing/conv2d/Makefile signalProcessing/hilbert/Makefile"
+ac_config_files="$ac_config_files Makefile lib/blas/Makefile lib/lapack/Makefile type/Makefile operations/Makefile operations/addition/Makefile operations/subtraction/Makefile operations/division/Makefile operations/multiplication/Makefile matrixOperations/Makefile matrixOperations/addition/Makefile matrixOperations/subtraction/Makefile matrixOperations/multiplication/Makefile matrixOperations/division/Makefile matrixOperations/cat/Makefile matrixOperations/transpose/Makefile matrixOperations/trace/Makefile matrixOperations/hilbert/Makefile matrixOperations/expm/Makefile matrixOperations/eye/Makefile matrixOperations/ones/Makefile matrixOperations/infiniteNorm/Makefile matrixOperations/inversion/Makefile matrixOperations/jmat/Makefile matrixOperations/chol/Makefile matrixOperations/determ/Makefile matrixOperations/dist/Makefile matrixOperations/fill/Makefile matrixOperations/magnitude/Makefile matrixOperations/squaredMagnitude/Makefile matrixOperations/logm/Makefile implicitList/Makefile elementaryFunctions/Makefile elementaryFunctions/cos/Makefile elementaryFunctions/cosh/Makefile elementaryFunctions/acos/Makefile elementaryFunctions/acosh/Makefile elementaryFunctions/sin/Makefile elementaryFunctions/sinh/Makefile elementaryFunctions/asin/Makefile elementaryFunctions/asinh/Makefile elementaryFunctions/tan/Makefile elementaryFunctions/tanh/Makefile elementaryFunctions/atan/Makefile elementaryFunctions/atan2/Makefile elementaryFunctions/atanh/Makefile elementaryFunctions/log/Makefile elementaryFunctions/log1p/Makefile elementaryFunctions/log10/Makefile elementaryFunctions/exp/Makefile elementaryFunctions/exp10/Makefile elementaryFunctions/sqrt/Makefile elementaryFunctions/lnp1m1/Makefile elementaryFunctions/pow/Makefile auxiliaryFunctions/Makefile auxiliaryFunctions/abs/Makefile auxiliaryFunctions/find/Makefile auxiliaryFunctions/frexp/Makefile auxiliaryFunctions/isempty/Makefile auxiliaryFunctions/isnan/Makefile auxiliaryFunctions/rand/Makefile auxiliaryFunctions/sign/Makefile auxiliaryFunctions/size/Makefile auxiliaryFunctions/length/Makefile auxiliaryFunctions/type/Makefile auxiliaryFunctions/pythag/Makefile auxiliaryFunctions/conj/Makefile statisticsFunctions/Makefile statisticsFunctions/mean/Makefile statisticsFunctions/sum/Makefile statisticsFunctions/variance/Makefile string/Makefile string/disp/Makefile string/string/Makefile signalProcessing/Makefile signalProcessing/fft/Makefile signalProcessing/ifft/Makefile signalProcessing/levin/Makefile signalProcessing/conv/Makefile signalProcessing/conv2d/Makefile signalProcessing/hilbert/Makefile"
@@ -22790,6 +22790,7 @@ do
"matrixOperations/fill/Makefile") CONFIG_FILES="$CONFIG_FILES matrixOperations/fill/Makefile" ;;
"matrixOperations/magnitude/Makefile") CONFIG_FILES="$CONFIG_FILES matrixOperations/magnitude/Makefile" ;;
"matrixOperations/squaredMagnitude/Makefile") CONFIG_FILES="$CONFIG_FILES matrixOperations/squaredMagnitude/Makefile" ;;
+ "matrixOperations/logm/Makefile") CONFIG_FILES="$CONFIG_FILES matrixOperations/logm/Makefile" ;;
"implicitList/Makefile") CONFIG_FILES="$CONFIG_FILES implicitList/Makefile" ;;
"elementaryFunctions/Makefile") CONFIG_FILES="$CONFIG_FILES elementaryFunctions/Makefile" ;;
"elementaryFunctions/cos/Makefile") CONFIG_FILES="$CONFIG_FILES elementaryFunctions/cos/Makefile" ;;
diff --git a/src/configure.ac b/src/configure.ac
index ac4e5e82..b2c09de7 100644
--- a/src/configure.ac
+++ b/src/configure.ac
@@ -186,6 +186,7 @@ matrixOperations/dist/Makefile
matrixOperations/fill/Makefile
matrixOperations/magnitude/Makefile
matrixOperations/squaredMagnitude/Makefile
+matrixOperations/logm/Makefile
implicitList/Makefile
elementaryFunctions/Makefile
elementaryFunctions/cos/Makefile
diff --git a/src/matrixOperations/Makefile.am b/src/matrixOperations/Makefile.am
index 25d3c5b2..4f3ae352 100644
--- a/src/matrixOperations/Makefile.am
+++ b/src/matrixOperations/Makefile.am
@@ -29,7 +29,8 @@ SUBDIRS= addition \
dist \
fill \
magnitude \
- squaredMagnitude
+ squaredMagnitude\
+ logm
diff --git a/src/matrixOperations/Makefile.in b/src/matrixOperations/Makefile.in
index 605aae7a..bf30261a 100644
--- a/src/matrixOperations/Makefile.in
+++ b/src/matrixOperations/Makefile.in
@@ -184,7 +184,8 @@ SUBDIRS = addition \
dist \
fill \
magnitude \
- squaredMagnitude
+ squaredMagnitude\
+ logm
all: all-recursive
diff --git a/src/matrixOperations/includes/logm.h b/src/matrixOperations/includes/logm.h
new file mode 100644
index 00000000..43b5406f
--- /dev/null
+++ b/src/matrixOperations/includes/logm.h
@@ -0,0 +1,23 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+
+#ifndef __LOGM_H__
+#define __LOGM_H__
+
+#include "floatComplex.h"
+#include "doubleComplex.h"
+
+
+void zlogma (doubleComplex* in, int size, doubleComplex* out);
+
+#endif /* !__LOGM_H__ */
diff --git a/src/matrixOperations/logm/Makefile.am b/src/matrixOperations/logm/Makefile.am
new file mode 100644
index 00000000..848783e5
--- /dev/null
+++ b/src/matrixOperations/logm/Makefile.am
@@ -0,0 +1,87 @@
+##
+## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+## Copyright (C) 2008 - INRIA - Arnaud TORSET
+##
+## This file must be used under the terms of the CeCILL.
+## This source file is licensed as described in the file COPYING, which
+## you should have received as part of this distribution. The terms
+## are also available at
+## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+##
+##
+
+
+
+
+libLogm_la_CFLAGS = -I ./includes \
+ -I $(top_builddir)/type \
+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/operations/includes \
+ -I $(top_builddir)/auxiliaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes
+
+
+instdir = $(top_builddir)/lib
+
+
+pkglib_LTLIBRARIES = libLogm.la
+
+HEAD = ../includes/logm.h \
+ logm_internal.h
+
+
+libLogm_la_SOURCES = $(HEAD) \
+ zlogma.c\
+ wbdiag.c \
+ cbal.c \
+ corth.c \
+ cortr.c \
+ comqr3.c
+
+#############
+## CHECK ##
+#############
+
+check_PROGRAMS = testDoubleLogm
+
+check_LDADD = $(top_builddir)/type/libDoubleComplex.la \
+ $(top_builddir)/type/libFloatComplex.la \
+ $(top_builddir)/matrixOperations/inversion/libMatrixInversion.la\
+ $(top_builddir)/elementaryFunctions/sqrt/libSqrt.la \
+ $(top_builddir)/lib/lapack/libscilapack.la \
+ $(top_builddir)/lib/blas/libsciblas.la \
+ $(top_builddir)/auxiliaryFunctions/abs/libAbs.la \
+ $(top_builddir)/auxiliaryFunctions/sign/libSign.la \
+ $(top_builddir)/auxiliaryFunctions/conj/libConj.la \
+ $(top_builddir)/auxiliaryFunctions/pythag/libPythag.la \
+ $(top_builddir)/operations/addition/libAddition.la \
+ $(top_builddir)/operations/multiplication/libMultiplication.la \
+ $(top_builddir)/operations/division/libDivision.la \
+ $(top_builddir)/operations/subtraction/libSubtraction.la \
+ $(top_builddir)/matrixOperations/transpose/libMatrixTranspose.la\
+ $(top_builddir)/matrixOperations/multiplication/libMatrixMultiplication.la\
+ $(top_builddir)/elementaryFunctions/log/libLog.la \
+ $(top_builddir)/elementaryFunctions/log1p/libLog1p.la \
+ $(top_builddir)/elementaryFunctions/lnp1m1/libLnp1m1.la \
+ $(top_builddir)/elementaryFunctions/pow/libPow.la \
+ $(top_builddir)/elementaryFunctions/exp/libExp.la \
+ $(top_builddir)/elementaryFunctions/sin/libSin.la \
+ $(top_builddir)/elementaryFunctions/cos/libCos.la \
+ $(top_builddir)/elementaryFunctions/sinh/libSinh.la \
+ $(top_builddir)/elementaryFunctions/cosh/libCosh.la \
+ $(top_builddir)/matrixOperations/logm/libLogm.la
+
+
+check_INCLUDES = -I ./includes \
+ -I $(top_builddir)/type \
+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/operations/includes \
+ -I $(top_builddir)/auxiliaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes\
+ -I $(top_builddir)/matrixOperations/logm
+
+testDoubleLogm_SOURCES = testDoubleLogm.c
+testDoubleLogm_LDADD = $(check_LDADD)
+testDoubleLogm_CFLAGS = $(check_INCLUDES)
+
+TESTS = testDoubleLogm
diff --git a/src/matrixOperations/logm/Makefile.in b/src/matrixOperations/logm/Makefile.in
new file mode 100644
index 00000000..33a55edc
--- /dev/null
+++ b/src/matrixOperations/logm/Makefile.in
@@ -0,0 +1,682 @@
+# Makefile.in generated by automake 1.10.1 from Makefile.am.
+# @configure_input@
+
+# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
+# 2003, 2004, 2005, 2006, 2007, 2008 Free Software Foundation, Inc.
+# This Makefile.in is free software; the Free Software Foundation
+# gives unlimited permission to copy and/or distribute it,
+# with or without modifications, as long as this notice is preserved.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY, to the extent permitted by law; without
+# even the implied warranty of MERCHANTABILITY or FITNESS FOR A
+# PARTICULAR PURPOSE.
+
+@SET_MAKE@
+
+VPATH = @srcdir@
+pkgdatadir = $(datadir)/@PACKAGE@
+pkglibdir = $(libdir)/@PACKAGE@
+pkgincludedir = $(includedir)/@PACKAGE@
+am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd
+install_sh_DATA = $(install_sh) -c -m 644
+install_sh_PROGRAM = $(install_sh) -c
+install_sh_SCRIPT = $(install_sh) -c
+INSTALL_HEADER = $(INSTALL_DATA)
+transform = $(program_transform_name)
+NORMAL_INSTALL = :
+PRE_INSTALL = :
+POST_INSTALL = :
+NORMAL_UNINSTALL = :
+PRE_UNINSTALL = :
+POST_UNINSTALL = :
+build_triplet = @build@
+host_triplet = @host@
+check_PROGRAMS = testDoubleLogm$(EXEEXT)
+TESTS = testDoubleLogm$(EXEEXT)
+subdir = matrixOperations/logm
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
+am__aclocal_m4_deps = $(top_srcdir)/configure.ac
+am__configure_deps = $(am__aclocal_m4_deps) $(CONFIGURE_DEPENDENCIES) \
+ $(ACLOCAL_M4)
+mkinstalldirs = $(install_sh) -d
+CONFIG_HEADER = $(top_builddir)/includes/machine.h
+CONFIG_CLEAN_FILES =
+am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
+am__vpath_adj = case $$p in \
+ $(srcdir)/*) f=`echo "$$p" | sed "s|^$$srcdirstrip/||"`;; \
+ *) f=$$p;; \
+ esac;
+am__strip_dir = `echo $$p | sed -e 's|^.*/||'`;
+am__installdirs = "$(DESTDIR)$(pkglibdir)"
+pkglibLTLIBRARIES_INSTALL = $(INSTALL)
+LTLIBRARIES = $(pkglib_LTLIBRARIES)
+libLogm_la_LIBADD =
+am__objects_1 =
+am_libLogm_la_OBJECTS = $(am__objects_1) libLogm_la-zlogma.lo \
+ libLogm_la-wbdiag.lo libLogm_la-cbal.lo libLogm_la-corth.lo \
+ libLogm_la-cortr.lo libLogm_la-comqr3.lo
+libLogm_la_OBJECTS = $(am_libLogm_la_OBJECTS)
+libLogm_la_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+ $(LIBTOOLFLAGS) --mode=link $(CCLD) $(libLogm_la_CFLAGS) \
+ $(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
+am_testDoubleLogm_OBJECTS = testDoubleLogm-testDoubleLogm.$(OBJEXT)
+testDoubleLogm_OBJECTS = $(am_testDoubleLogm_OBJECTS)
+testDoubleLogm_DEPENDENCIES = $(check_LDADD)
+testDoubleLogm_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+ $(LIBTOOLFLAGS) --mode=link $(CCLD) $(testDoubleLogm_CFLAGS) \
+ $(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
+DEFAULT_INCLUDES = -I.@am__isrc@ -I$(top_builddir)/includes
+depcomp = $(SHELL) $(top_srcdir)/config/depcomp
+am__depfiles_maybe = depfiles
+COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
+ $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
+LTCOMPILE = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) \
+ --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \
+ $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
+CCLD = $(CC)
+LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) \
+ --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) $(AM_LDFLAGS) \
+ $(LDFLAGS) -o $@
+SOURCES = $(libLogm_la_SOURCES) $(testDoubleLogm_SOURCES)
+DIST_SOURCES = $(libLogm_la_SOURCES) $(testDoubleLogm_SOURCES)
+ETAGS = etags
+CTAGS = ctags
+DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
+ACLOCAL = @ACLOCAL@
+AMTAR = @AMTAR@
+AR = @AR@
+AUTOCONF = @AUTOCONF@
+AUTOHEADER = @AUTOHEADER@
+AUTOMAKE = @AUTOMAKE@
+AWK = @AWK@
+CC = @CC@
+CCDEPMODE = @CCDEPMODE@
+CFLAGS = @CFLAGS@
+CPP = @CPP@
+CPPFLAGS = @CPPFLAGS@
+CXX = @CXX@
+CXXCPP = @CXXCPP@
+CXXDEPMODE = @CXXDEPMODE@
+CXXFLAGS = @CXXFLAGS@
+CYGPATH_W = @CYGPATH_W@
+DEFS = @DEFS@
+DEPDIR = @DEPDIR@
+DSYMUTIL = @DSYMUTIL@
+ECHO = @ECHO@
+ECHO_C = @ECHO_C@
+ECHO_N = @ECHO_N@
+ECHO_T = @ECHO_T@
+EGREP = @EGREP@
+EXEEXT = @EXEEXT@
+F77 = @F77@
+FFLAGS = @FFLAGS@
+GREP = @GREP@
+INSTALL = @INSTALL@
+INSTALL_DATA = @INSTALL_DATA@
+INSTALL_PROGRAM = @INSTALL_PROGRAM@
+INSTALL_SCRIPT = @INSTALL_SCRIPT@
+INSTALL_STRIP_PROGRAM = @INSTALL_STRIP_PROGRAM@
+LDFLAGS = @LDFLAGS@
+LIBMATH = @LIBMATH@
+LIBOBJS = @LIBOBJS@
+LIBS = @LIBS@
+LIBTOOL = @LIBTOOL@
+LN_S = @LN_S@
+LTLIBOBJS = @LTLIBOBJS@
+MAINT = @MAINT@
+MAKEINFO = @MAKEINFO@
+MKDIR_P = @MKDIR_P@
+NMEDIT = @NMEDIT@
+OBJEXT = @OBJEXT@
+PACKAGE = @PACKAGE@
+PACKAGE_BUGREPORT = @PACKAGE_BUGREPORT@
+PACKAGE_NAME = @PACKAGE_NAME@
+PACKAGE_STRING = @PACKAGE_STRING@
+PACKAGE_TARNAME = @PACKAGE_TARNAME@
+PACKAGE_VERSION = @PACKAGE_VERSION@
+PATH_SEPARATOR = @PATH_SEPARATOR@
+RANLIB = @RANLIB@
+SED = @SED@
+SET_MAKE = @SET_MAKE@
+SHELL = @SHELL@
+STRIP = @STRIP@
+VERSION = @VERSION@
+abs_builddir = @abs_builddir@
+abs_srcdir = @abs_srcdir@
+abs_top_builddir = @abs_top_builddir@
+abs_top_srcdir = @abs_top_srcdir@
+ac_ct_CC = @ac_ct_CC@
+ac_ct_CXX = @ac_ct_CXX@
+ac_ct_F77 = @ac_ct_F77@
+am__include = @am__include@
+am__leading_dot = @am__leading_dot@
+am__quote = @am__quote@
+am__tar = @am__tar@
+am__untar = @am__untar@
+bindir = @bindir@
+build = @build@
+build_alias = @build_alias@
+build_cpu = @build_cpu@
+build_os = @build_os@
+build_vendor = @build_vendor@
+builddir = @builddir@
+datadir = @datadir@
+datarootdir = @datarootdir@
+docdir = @docdir@
+dvidir = @dvidir@
+exec_prefix = @exec_prefix@
+host = @host@
+host_alias = @host_alias@
+host_cpu = @host_cpu@
+host_os = @host_os@
+host_vendor = @host_vendor@
+htmldir = @htmldir@
+includedir = @includedir@
+infodir = @infodir@
+install_sh = @install_sh@
+libdir = @libdir@
+libexecdir = @libexecdir@
+localedir = @localedir@
+localstatedir = @localstatedir@
+mandir = @mandir@
+mkdir_p = @mkdir_p@
+oldincludedir = @oldincludedir@
+pdfdir = @pdfdir@
+prefix = @prefix@
+program_transform_name = @program_transform_name@
+psdir = @psdir@
+sbindir = @sbindir@
+sharedstatedir = @sharedstatedir@
+srcdir = @srcdir@
+sysconfdir = @sysconfdir@
+target_alias = @target_alias@
+top_builddir = @top_builddir@
+top_srcdir = @top_srcdir@
+libLogm_la_CFLAGS = -I ./includes \
+ -I $(top_builddir)/type \
+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/operations/includes \
+ -I $(top_builddir)/auxiliaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes
+
+instdir = $(top_builddir)/lib
+pkglib_LTLIBRARIES = libLogm.la
+HEAD = ../includes/logm.h \
+ logm_internal.h
+
+libLogm_la_SOURCES = $(HEAD) \
+ zlogma.c\
+ wbdiag.c \
+ cbal.c \
+ corth.c \
+ cortr.c \
+ comqr3.c
+
+check_LDADD = $(top_builddir)/type/libDoubleComplex.la \
+ $(top_builddir)/type/libFloatComplex.la \
+ $(top_builddir)/matrixOperations/inversion/libMatrixInversion.la\
+ $(top_builddir)/elementaryFunctions/sqrt/libSqrt.la \
+ $(top_builddir)/lib/lapack/libscilapack.la \
+ $(top_builddir)/lib/blas/libsciblas.la \
+ $(top_builddir)/auxiliaryFunctions/abs/libAbs.la \
+ $(top_builddir)/auxiliaryFunctions/sign/libSign.la \
+ $(top_builddir)/auxiliaryFunctions/conj/libConj.la \
+ $(top_builddir)/auxiliaryFunctions/pythag/libPythag.la \
+ $(top_builddir)/operations/addition/libAddition.la \
+ $(top_builddir)/operations/multiplication/libMultiplication.la \
+ $(top_builddir)/operations/division/libDivision.la \
+ $(top_builddir)/operations/subtraction/libSubtraction.la \
+ $(top_builddir)/matrixOperations/transpose/libMatrixTranspose.la\
+ $(top_builddir)/matrixOperations/multiplication/libMatrixMultiplication.la\
+ $(top_builddir)/elementaryFunctions/log/libLog.la \
+ $(top_builddir)/elementaryFunctions/log1p/libLog1p.la \
+ $(top_builddir)/elementaryFunctions/lnp1m1/libLnp1m1.la \
+ $(top_builddir)/elementaryFunctions/pow/libPow.la \
+ $(top_builddir)/elementaryFunctions/exp/libExp.la \
+ $(top_builddir)/elementaryFunctions/sin/libSin.la \
+ $(top_builddir)/elementaryFunctions/cos/libCos.la \
+ $(top_builddir)/elementaryFunctions/sinh/libSinh.la \
+ $(top_builddir)/elementaryFunctions/cosh/libCosh.la \
+ $(top_builddir)/matrixOperations/logm/libLogm.la
+
+check_INCLUDES = -I ./includes \
+ -I $(top_builddir)/type \
+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/operations/includes \
+ -I $(top_builddir)/auxiliaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes\
+ -I $(top_builddir)/matrixOperations/logm
+
+testDoubleLogm_SOURCES = testDoubleLogm.c
+testDoubleLogm_LDADD = $(check_LDADD)
+testDoubleLogm_CFLAGS = $(check_INCLUDES)
+all: all-am
+
+.SUFFIXES:
+.SUFFIXES: .c .lo .o .obj
+$(srcdir)/Makefile.in: @MAINTAINER_MODE_TRUE@ $(srcdir)/Makefile.am $(am__configure_deps)
+ @for dep in $?; do \
+ case '$(am__configure_deps)' in \
+ *$$dep*) \
+ cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh \
+ && exit 0; \
+ exit 1;; \
+ esac; \
+ done; \
+ echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign matrixOperations/logm/Makefile'; \
+ cd $(top_srcdir) && \
+ $(AUTOMAKE) --foreign matrixOperations/logm/Makefile
+.PRECIOUS: Makefile
+Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status
+ @case '$?' in \
+ *config.status*) \
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+dvi: dvi-am
+
+dvi-am:
+
+html: html-am
+
+info: info-am
+
+info-am:
+
+install-data-am:
+
+install-dvi: install-dvi-am
+
+install-exec-am: install-pkglibLTLIBRARIES
+
+install-html: install-html-am
+
+install-info: install-info-am
+
+install-man:
+
+install-pdf: install-pdf-am
+
+install-ps: install-ps-am
+
+installcheck-am:
+
+maintainer-clean: maintainer-clean-am
+ -rm -rf ./$(DEPDIR)
+ -rm -f Makefile
+maintainer-clean-am: distclean-am maintainer-clean-generic
+
+mostlyclean: mostlyclean-am
+
+mostlyclean-am: mostlyclean-compile mostlyclean-generic \
+ mostlyclean-libtool
+
+pdf: pdf-am
+
+pdf-am:
+
+ps: ps-am
+
+ps-am:
+
+uninstall-am: uninstall-pkglibLTLIBRARIES
+
+.MAKE: install-am install-strip
+
+.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \
+ clean-checkPROGRAMS clean-generic clean-libtool \
+ clean-pkglibLTLIBRARIES ctags distclean distclean-compile \
+ distclean-generic distclean-libtool distclean-tags distdir dvi \
+ dvi-am html html-am info info-am install install-am \
+ install-data install-data-am install-dvi install-dvi-am \
+ install-exec install-exec-am install-html install-html-am \
+ install-info install-info-am install-man install-pdf \
+ install-pdf-am install-pkglibLTLIBRARIES install-ps \
+ install-ps-am install-strip installcheck installcheck-am \
+ installdirs maintainer-clean maintainer-clean-generic \
+ mostlyclean mostlyclean-compile mostlyclean-generic \
+ mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \
+ uninstall-am uninstall-pkglibLTLIBRARIES
+
+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
diff --git a/src/matrixOperations/logm/cbal.c b/src/matrixOperations/logm/cbal.c
new file mode 100644
index 00000000..ff866cd1
--- /dev/null
+++ b/src/matrixOperations/logm/cbal.c
@@ -0,0 +1,177 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+
+ /*
+ This is a transcription of the fortran subroutine cbal.f
+ */
+
+#include "multiplication.h"
+#include "logm_internal.h"
+#include "abs.h"
+
+/******************/
+/* Sous-Fonctions */
+/******************/
+static int boucle_100(doubleComplex* in, int size, int l, int* j, int* m, int *iexc){
+ int jj=0, i=0;
+ for (jj=1;jj<=l;jj++){
+ *j=l+1-jj;
+ for(i=1;i<=l;i++){
+ if(i!=(*j)) {
+ if ( (zreals(in[((*j)-1)*size+i-1])!=0) || (zimags(in[((*j)-1)*size+i-1])!=0) ) break;
+ }
+ }
+ if (i!=(l+1)) break;
+ else {
+ *m=l;
+ *iexc=1;
+ return 20;
+ }
+ }
+ return 140;
+}
+
+
+static int boucle_140(doubleComplex* in, int size, int k, int l, int* j, int* m, int *iexc){
+ int i=0;
+ for ((*j)=k;(*j)<=l;(*j)++){
+ for(i=k;i<=l;i++){
+ if(i!=(*j)) {
+ if ( (zreals(in[(i-1)*size+(*j)-1])!=0) || (zimags(in[(i-1)*size+(*j)-1])!=0) ) break;
+ }
+ }
+ if (i!=(l+1)) break;
+ else{
+ *m=k;
+ *iexc=2;
+ return 20;
+ }
+ }
+ return 170;
+}
+
+
+/***********************/
+/* Fonction principale */
+/***********************/
+
+void cbal(doubleComplex* in, int n, int* low, int* high, double* scale){
+ const double radix=2;
+ double b2=0, c=0, r=0, g=0, f=0, s=0;
+ int k=0, l=0, continuer=1, j=0, i=0, iexc=0, noconv=0;
+ int result, m;
+ doubleComplex fCpx;
+
+ b2=radix*radix;
+ k=1;
+ l=n;
+
+ result= boucle_100(in,n,l,&j,&m, &iexc);
+ while(continuer){
+ if(result==20){
+ scale[m-1] = j;
+ if (j != m) {
+ for(i=1; i<=l;i++){
+ fCpx = in[(i-1)*n+j-1];
+ in[(i-1)*n+j-1] = in[(i-1)*n+m-1];
+ in[(i-1)*n+m-1] = fCpx;
+ }
+ for(i=k; i<=m; i++){
+ fCpx = in[(j-1)*n+i-1];
+ in[(j-1)*n+i-1] = in[(m-1)*n+i-1];
+ in[(m-1)*n+i-1] = fCpx;
+ }
+ }
+
+ if (iexc==1){
+ if (l==1) {
+ continuer=0;
+ break;
+ }
+ else {
+ l--;
+ result = boucle_100(in,n,l,&j,&m, &iexc);
+ }
+ }
+ else if (iexc==2){
+ k++;
+ result = boucle_140(in,n,k,l,&j,&m, &iexc);
+ }
+
+
+ }
+
+ if (result == 140){
+ result = boucle_140(in,n,k,l,&j,&m, &iexc);
+ }
+
+ if (result == 170){
+ continuer=0;
+ }
+ }
+
+ for (i=k;i<=l;i++){
+ scale[i-1]=1;
+ }
+
+ do{
+ noconv=0; /* noconv=false */
+ for (i=k;i<=l;i++){
+ c=0;
+ r=0;
+
+
+ for (j=k;j<=l;j++){
+ if(j!=i){
+ c += ( dabss(zreals(in[(i-1)*n+j-1])) + dabss(zimags(in[(i-1)*n+j-1])) );
+ r += ( dabss(zreals(in[(j-1)*n+i-1])) + dabss(zimags(in[(j-1)*n+i-1])) );
+ }
+ }
+
+ /* :::::::::: guard against zero c or r due to underflow :::::::::: */
+ if ( (r!=0) && (c!=0) ){
+ g=r/radix;
+ f=1;
+ s=c+r;
+
+ while (c < g){
+ f = f * radix;
+ c = c * b2;
+ }
+
+ g = r * radix;
+ while(c >= g) {
+ f = f / radix;
+ c = c / b2;
+
+ }
+ /* :::::::::: now balance :::::::::: */
+ if (((c + r) / f) < 0.950 * s) {
+ g = 1 / f;
+ scale[i-1] = scale[i-1] * f;
+ noconv = 1;
+
+ for (j = k; j <= n; j++)
+ in[(j-1)*n+i-1] = zmuls(in[(j-1)*n+i-1],DoubleComplex(g,0));
+
+ for (j = 1; j <= l; j++)
+ in[(i-1)*n+j-1] = zmuls(in[(i-1)*n+j-1],DoubleComplex(f,0));
+ }
+ }
+ }
+ }while(noconv); /* while (noconv == true) */
+
+ *low = k;
+ *high = l;
+}
+
diff --git a/src/matrixOperations/logm/clogma.c b/src/matrixOperations/logm/clogma.c
new file mode 100644
index 00000000..f64e574c
--- /dev/null
+++ b/src/matrixOperations/logm/clogma.c
@@ -0,0 +1,92 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+
+#include <malloc.h>
+#include "logm.h"
+#include "schur.h"
+#include "log.h"
+#include "multiplication.h"
+#include "tranpose.h"
+#include "inverse.h"
+
+static void bdiag(floatComplex *in, int size, double n, floatComplex *out1, floatComplex *out2){
+
+}
+
+
+
+void clogma (floatComplex* in, int size, floatComplex* out){
+ doubleComplex *out1, *out2, *dtmp;
+ int i=0, egaux=0;
+ float eps = 2.220e-16;
+ int select, sdim, lwork, bwork, info = 0;
+ doubleComplex *eigenvalues, *work, *rwork;
+
+
+ out1=malloc((uint)(size*size)*sizeof(doubleComplex));
+ out2=malloc((uint)(size*size)*sizeof(doubleComplex));
+ dtmp=malloc((uint)(size*size)*sizeof(doubleComplex));
+ eigenvalues=malloc((uint)size*sizeof(doubleComplex));
+ work=malloc((uint)(pow(2,size))*sizeof(doubleComplex));
+ rwork=malloc((uint)size*sizeof(doubleComplex));
+
+ ctransposea(in,size,size,tmp);/*pb entre float et double*/
+
+ for (i=0;i<size*size;i++){
+ if (in[i]!=tmp[i]) break;
+ }
+ if (i==size*size) egaux =1;
+
+
+ if (egaux){
+ /*Hermitian matrix*/
+ for (i=0;i<size*size,i++)
+ out1[i]=DoubleComplex((double)creals(in[i]),(double)cimags(in[i]));;
+
+ C2F(zgees)("V","S", &select, &size, out1, &size, &sdim, eigenvalues, out2, &size, work, &lwork, rwork, &bwork, &info);
+
+ for (i=0;i<size;i++){
+ for (j=0;j<size;j++){
+ tmp[i*size+j]=0;
+ if (i==j) dtmp[i*size+j]=zlogs(out2[i*size+j]);
+ }
+ }
+
+ zmulma(out1,size,size,dtmp,size,size,out2);
+ ztransposea(out1,size,size,dtmp);
+
+ cmula(out2,size,size,tmp,size,size,out1);
+ for (i=0;i<size*size,i++)
+ out[i]=FloatComplex((float)zreals(in[i]),(float)zimags(in[i]));;
+ }
+ else
+ {
+ /*General Matrix*/
+ bdiag(in, size, eps, out1, out2);
+
+
+ for (i=0;i<size;i++){
+ for (j=0;j<size;j++){
+ tmp[i*size+j]=0;
+ if (i==j) tmp[i*size+j]=clogs(out2[i*size+j]);
+ }
+ }
+
+ out2 = cmulma(out1,tmp);
+ tmp = cinversea(out1,size,size,out1);
+
+ out= cmula(out2,tmp);
+ }
+
+
+}
diff --git a/src/matrixOperations/logm/comqr3.c b/src/matrixOperations/logm/comqr3.c
new file mode 100644
index 00000000..1e8fb063
--- /dev/null
+++ b/src/matrixOperations/logm/comqr3.c
@@ -0,0 +1,246 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+ /*
+ This is a transcription of the fortran subroutine comqr3.f
+ */
+
+
+
+#include "logm_internal.h"
+#include "sqrt.h"
+#include "abs.h"
+#include "addition.h"
+#include "subtraction.h"
+#include "multiplication.h"
+#include "division.h"
+#include "pythag.h"
+#include "conj.h"
+#include "min.h"
+
+
+void comqr3(doubleComplex* in, int n, doubleComplex* w, int low, int high, int job, doubleComplex* z){
+ /* Variables */
+ int i=0, j=0, l=0, ll=0, ip1=0;
+ int ierr=0, iend=0, jx=0, jy=0, en=0, itn=0, its=0, enm1=0, lp1=0;
+ int boucle_220=0, boucle_240=0;
+ double norm;
+ doubleComplex s,t,x,y,zz;
+
+
+ ierr=0;
+ jx=job/10;
+ jy=job%10;
+ /*......... create real subdiagonal elements ..........*/
+ iend = high-low-1;
+
+ if (iend>=0){
+ l=low+1;
+
+ for(i=l;i<=high;i++){
+ ll=min(i+1,high);
+ if (zimags(in[(i-2)*n+i-1])!=0){
+ norm = dpythags(zreals(in[(i-2)*n+i-1]),zimags(in[(i-2)*n+i-1]));
+ y=zrdivs(in[(i-2)*n+i-1],DoubleComplex(norm,0));
+ in[(i-2)*n+i-1]=DoubleComplex(norm,0);
+
+ for(j=i;j<=n;j++){
+ s=DoubleComplex(0, zimags(zmuls(y,zconjs(in[(j-1)*n+i-1]))));
+ in[(j-1)*n+i-1] = DoubleComplex(zreals(zmuls(zconjs(y),in[(j-1)*n+i-1])),zimags(s));
+ }
+
+ for(j=1;j<=ll;j++){
+ s=DoubleComplex(0, zimags(zmuls(zconjs(y),in[(i-1)*n+j-1])));
+ in[(i-1)*n+j-1] = DoubleComplex(zreals(zmuls(zconjs(y),in[(i-1)*n+j-1])),zimags(s));
+ }
+
+ if (jy!=0){
+ for (j=low;j<=high;j++){
+ s=DoubleComplex(0, zimags(zmuls(y,z[(i-1)*n+j-1])));
+ z[(i-1)*n+j-1] = DoubleComplex(zreals(zmuls(y,z[(i-1)*n+j-1])),zimags(s));
+ }
+ }
+ }
+ }
+ }
+
+ /*.......... store roots isolated by cbal ..........*/
+ for(i=1;i<=n;i++){
+ if( (i<low) || (i>high) ){
+ w[i-1]=in[(i-1)*n+i-1];
+ }
+ }
+
+ en = high;
+ t=DoubleComplex(0,0);
+ itn = 30*n;
+ boucle_220=1;
+
+ /*.......... search for next eigenvalue ..........*/
+ while (boucle_220 && (en>=low)){
+ its=0;
+ enm1= en-1;
+ /* .......... look for single small sub-diagonal element
+ for l=en step -1 until low do -- ..........*/
+ boucle_240=1;
+ while(boucle_240){
+
+ for(ll=low; ll<=en;ll++){
+ l = en + low - ll;
+ if (l!=low){
+ x = DoubleComplex(dabss(zreals(in[(l-2)*n+l-2])) + dabss(zimags(in[(l-2)*n+l-2])) + dabss(zreals(in[(l-1)*n+l-1])) +dabss(zimags(in[(l-1)*n+l-1])),0);
+ y = DoubleComplex(zreals(x) + dabss(zreals(in[(l-2)*n+l-1])),0);
+ if (zreals(x) == zreals(y)) break;
+ }
+ }
+ /*.......... form shift ..........*/
+ if (l==en) {
+ boucle_240=0;
+ break;
+ }
+ if (itn==0) {
+ boucle_240=0;
+ break;
+ }
+ if ( (its == 10) || (its == 20) ){
+ /*.......... form exceptional shift ..........*/
+ s = DoubleComplex(dabss( zreals(in[(enm1-1)*n+en-1]) ) + dabss( zreals(in[(en-3)*n+enm1-1]) ),0);
+ }
+ else {
+ s = in[(en-1)*n+en-1];
+
+ x = zmuls(in[(en-1)*n+enm1-1],DoubleComplex(zreals(in[(enm1-1)*n+en-1]),0));
+
+ if ( (zreals(x)!=0) || (zimags(x)!=0) ){
+ y=zrdivs(zdiffs(in[(enm1-1)*n+enm1-1],s),DoubleComplex(2,0));
+
+ zz=zsqrts(zadds(zmuls(y,y),x));
+
+ if ( (zreals(y)*zreals(zz) + zimags(y)*zimags(zz)) < 0){
+ zz = DoubleComplex(-zreals(zz),-zimags(zz));
+ }
+ zz=zrdivs(x,zadds(y,zz));
+ s = zdiffs(s,zz);
+ }
+ }
+
+ for(i=low;i<=en;i++){
+ in[(i-1)*n+i-1]=zdiffs(in[(i-1)*n+i-1],s);
+ }
+
+ t = zadds(t,s);
+ its++;
+ itn--;
+ /*.......... reduce to triangle (rows) ..........*/
+ lp1=l+1;
+
+ for(i=lp1;i<=en;i++){
+ s=DoubleComplex(zreals(in[(i-2)*n+i-1]),zimags(s));
+ norm = dpythags(dpythags(zreals(in[(i-2)*n+i-2]),zimags(in[(i-2)*n+i-2])),zreals(s));
+ x=zrdivs(in[(i-2)*n+i-2],DoubleComplex(norm,0));
+ w[i-2]=x;
+ in[(i-2)*n+i-2]=DoubleComplex(norm, 0);
+ in[(i-2)*n+i-1]=DoubleComplex(0, zreals(s)/norm);
+
+ for (j=i;j<=n;j++){
+ y = in[(j-1)*n+i-2];
+ zz = in[(j-1)*n+i-1];
+ in[(j-1)*n+i-2] = zadds(zmuls(zconjs(x),y),zmuls(DoubleComplex(zimags(in[(i-2)*n+i-1]),0),zz));
+ in[(j-1)*n+i-1] = zdiffs(zmuls(x,zz),zmuls(DoubleComplex(zimags(in[(i-2)*n+i-1]),0),y));
+ }
+ }
+ /* FIXME s make sign problem with the exemple */
+ s=DoubleComplex(zreals(s),zimags(in[(en-1)*n+en-1]));
+ if( zimags(s)!=0){
+
+ norm = dpythags(zreals(in[(en-1)*n+en-1]),zimags(s));
+ s = DoubleComplex( zreals(in[(en-1)*n+en-1])/norm , zimags(s)/norm);
+
+ in[(en-1)*n+en-1]=DoubleComplex( norm, 0);
+ if (en!=n){
+
+ ip1=en+1;
+ for(j=ip1;j<=n;j++){
+ y=in[(j-1)*n+en-1];
+ in[(j-1)*n+en-1]=zmuls(zconjs(s),y);
+ }
+ }
+ }
+
+ /*.......... inverse operation (columns) ..........*/
+ for (j=lp1;j<=en;j++){
+ x=w[j-2];
+ for(i=1;i<=j;i++){
+ y=DoubleComplex(zreals(in[(j-2)*n+i-1]),0);
+ zz=in[(j-1)*n+i-1];
+ if(i!=j){
+
+ y=DoubleComplex(zreals(y), zimags(in[(j-2)*n+i-1]));
+
+ in[(j-2)*n+i-1] = DoubleComplex(zreals(in[(j-2)*n+i-1]),
+ zreals(x)*zimags(y) + zimags(x)*zreals(y) + zimags(in[(j-2)*n+j-1])*zimags(zz));
+ }
+
+ in[(j-2)*n+i-1] = DoubleComplex(
+ zreals(x)*zreals(y) - zimags(x)*zimags(y) + zimags(in[(j-2)*n+j-1])*zreals(zz),
+ zimags(in[(j-2)*n+i-1]));
+
+ in[(j-1)*n+i-1] = zdiffs(zmuls(zconjs(x),zz),zmuls(DoubleComplex(zimags(in[(j-2)*n+j-1]),0),y));
+ }
+
+
+
+ if(jy!=0){
+ for(i=low;i<=high;i++){
+ y=z[(j-2)*n+i-1];
+ zz=z[(j-1)*n+i-1];
+ z[(j-2)*n+i-1] = zadds(zmuls(x,y),zmuls(DoubleComplex(zimags(in[(j-2)*n+j-1]),0),zz));
+
+ z[(j-1)*n+i-1] = zdiffs(zmuls(zconjs(x),zz),zmuls(DoubleComplex(zimags(in[(j-2)*n+j-1]),0),y));
+ }
+ }
+ }
+
+ if (zimags(s)!=0){
+ for (i=1;i<=en;i++){
+ y=in[(en-1)*n+i-1];
+ in[(en-1)*n+i-1]=zmuls(s,y);
+ }
+
+ if(jy!=0){
+ for(i=low;i<=high;i++){
+ y=z[(en-1)*n+i-1];
+ z[(en-1)*n+i-1]=zmuls(s,y);
+ }
+ }
+ }
+
+ }
+
+
+ if( (l!=en) && (itn==0) ){
+ boucle_220=0;
+ break;
+ }
+ in[(en-1)*n+en-1]=zadds(in[(en-1)*n+en-1],t);
+ w[en-1] = in[(en-1)*n+en-1];
+ en = enm1;
+
+ }
+
+ ierr=en;
+}
+
+
+
+
+
diff --git a/src/matrixOperations/logm/corth.c b/src/matrixOperations/logm/corth.c
new file mode 100644
index 00000000..a98edefc
--- /dev/null
+++ b/src/matrixOperations/logm/corth.c
@@ -0,0 +1,112 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ This is a transcription of the fortran subroutine corth.f
+ */
+
+
+#include "logm_internal.h"
+#include "abs.h"
+#include "addition.h"
+#include "subtraction.h"
+#include "multiplication.h"
+#include "division.h"
+#include "conj.h"
+
+void corth(doubleComplex* in , int n, int low,int high, doubleComplex* ort){
+ int la=0, kp1=0, m=0, mp=0, i=0, j=0, ii=0, jj=0;
+ double h=0, scale=0, g=0, f=0;
+ doubleComplex fCpx;
+
+ la = high - 1 ;
+ kp1 = low + 1 ;
+ if (la >= kp1) {
+
+ for (m = kp1; m <= la; m++){
+ h = 0;
+ ort[m-1]=DoubleComplex(0,0);
+ scale = 0;
+ /* :::::::::: scale column (algol tol then not needed) :::::::::: */
+ for (i = m; i <= high; i++)
+ scale = scale + dabss(zreals(in[(m-2)*n+i-1])) + dabss(zimags(in[(m-2)*n+i-1]));
+
+
+
+ if (scale != 0) {
+ mp = m + high;
+ /* :::::::::: for i=igh step -1 until m do -- :::::::::: */
+ for (ii = m; ii <= high; ii++){
+ i = mp - ii;
+ ort[i-1] = zrdivs(in[(m-2)*n+i-1],DoubleComplex(scale,0));
+ h = h + zreals(ort[i-1]) * zreals(ort[i-1]) + zimags(ort[i-1]) * zimags(ort[i-1]);
+ }
+
+
+ g = dsqrts(h);
+
+ f = dsqrts(zreals(ort[m-1]) * zreals(ort[m-1]) + zimags(ort[m-1]) * zimags(ort[m-1]));
+
+ if (f == 0){
+ ort[m-1]=DoubleComplex(g,zimags(ort[m-1]));
+ in[(m-2)*n+m-1]=DoubleComplex(scale,zreals(in[(m-2)*n+m-1]) );
+ }
+ else {
+ h = h + f * g;
+ g = g / f;
+ ort[m-1]=zmuls(DoubleComplex(1+g,0),ort[m-1]);
+ }
+
+ /* :::::::::: form (i-(u*ut)/h) * a :::::::::: */
+ for (j=m;j<=n;j++){
+
+ fCpx = DoubleComplex(0,0);
+
+ /* :::::::::: for i=igh step -1 until m do -- :::::::::: */
+ for (ii=m;ii<=high;ii++){
+ i = mp - ii;
+ fCpx = zadds(fCpx, zmuls(zconjs(ort[i-1]),in[(j-1)*n+i-1]));
+ }
+
+ fCpx=zrdivs(fCpx,DoubleComplex(h,0));
+
+ for (i=m;i<=high;i++){
+ in[(j-1)*n+i-1] = zdiffs(in[(j-1)*n+i-1],zmuls(zconjs(fCpx),ort[i-1]));
+ }
+ }
+
+ /* :::::::::: form (i-(u*ut)/h)*a*(i-(u*ut)/h) :::::::::: */
+ for(i=1;i<=high;i++){
+ fCpx = DoubleComplex(0,0);
+ /* :::::::::: for j=igh step -1 until m do -- :::::::::: */
+ for (jj=m;jj<=high;jj++){
+ j = mp - jj;
+ fCpx = zadds(fCpx, zmuls(ort[j-1],in[(j-1)*n+i-1]));
+ }
+
+ fCpx=zrdivs(fCpx,DoubleComplex(h,0));
+
+ for (j=m;j<=high;j++){
+ in[(j-1)*n+i-1] = zadds(in[(j-1)*n+i-1], zmuls(fCpx,DoubleComplex(-zreals(ort[j-1]),zimags(ort[j-1]))));
+ }
+ }
+
+ ort[m-1] = zmuls(DoubleComplex(scale,0),ort[m-1]);
+ in[(m-2)*n+m-1] = zmuls(DoubleComplex(-g,0),in[(m-2)*n+m-1]);
+
+
+ }
+ }
+
+
+ }
+}
diff --git a/src/matrixOperations/logm/cortr.c b/src/matrixOperations/logm/cortr.c
new file mode 100644
index 00000000..609afe86
--- /dev/null
+++ b/src/matrixOperations/logm/cortr.c
@@ -0,0 +1,72 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+ /*
+ This is a transcription of the fortran subroutine cortr.f
+ */
+
+#include "logm_internal.h"
+#include "conj.h"
+#include "addition.h"
+#include "multiplication.h"
+#include "division.h"
+
+
+
+void cortr(doubleComplex* in, int n, int low, int high, doubleComplex* ort, doubleComplex* z){
+ int i=0, j=0, k=0, ii=0, iend=0, ip1=0;
+ double norm;
+ doubleComplex s;
+
+
+ /*.......... initialize eigenvector matrix ..........*/
+ for (i=1;i<=n;i++){
+ for (j=1;j<=n;j++){
+ if (i==j) z[(j-1)*n+i-1]=DoubleComplex(1,0);
+ else z[(j-1)*n+i-1]=DoubleComplex(0,0);
+ }
+ }
+
+ /*.......... form the matrix of accumulated transformations
+ from the information left by corth ..........*/
+ iend = high -low -1;
+ if (iend >= 0){
+ for (ii=1;ii<=iend;ii++){
+ i=high-ii;
+ if ( ( !((zreals(ort[i-1])==0) && (zimags(ort[i-1])==0) ))
+ && ( !((zreals(in[(i-2)*n+i-1])==0) && (zimags(in[(i-2)*n+i-1])==0) ) ) ){
+ /* .......... norm below is negative of h formed in corth .........*/
+ norm = zreals(zmuls(zconjs(in[(i-2)*n+i-1]),ort[i-1]));
+ if (norm != 0 ){
+ ip1=i+1;
+ for(k=ip1;k<=high;k++){
+ ort[k-1] = DoubleComplex( zreals(in[(i-2)*n+k-1]), zimags(in[(i-2)*n+k-1]) );
+ }
+
+ for (j=i;j<=high;j++){
+ s=DoubleComplex(0,0);
+ for(k=i;k<=high;k++){
+ s=zadds(s, zmuls(zconjs(ort[k-1]),z[(j-1)*n+k-1]));
+ }
+
+ s = zrdivs(s,DoubleComplex(norm,0));
+
+ for(k=i;k<=high;k++){
+ z[(j-1)*n+k-1]=zadds(z[(j-1)*n+k-1], zmuls(s,ort[k-1]));
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
diff --git a/src/matrixOperations/logm/logm_internal.h b/src/matrixOperations/logm/logm_internal.h
new file mode 100644
index 00000000..e0263cfc
--- /dev/null
+++ b/src/matrixOperations/logm/logm_internal.h
@@ -0,0 +1,37 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+
+
+#ifndef __LOGM_INTERNAL_H__
+#define __LOGM_INTERNAL_H__
+
+#include "doubleComplex.h"
+
+void wbdiag(doubleComplex* in, int size, doubleComplex* out);
+
+void cbal(doubleComplex* in, int n, int* low, int* high, double* scale);
+
+void corth(doubleComplex* in , int n, int low,int high, doubleComplex* ort);
+
+void cortr(doubleComplex* in, int n, int low, int high, doubleComplex* ort, doubleComplex* z);
+
+void comqr3(doubleComplex* in, int n, doubleComplex* w, int low, int high, int job, doubleComplex* z);
+
+void wexchn();
+void dad(doubleComplex* in, int size_1, int l11_1, int l22m1, int l11_2, int size_2, int one, int n);
+void balbak();
+void dset();
+void dad();
+void wshrsl();
+doubleComplex ddot();
+#endif /*__LOGM_INTERNAL_H__*/
diff --git a/src/matrixOperations/logm/slogma.c b/src/matrixOperations/logm/slogma.c
new file mode 100644
index 00000000..09d0979e
--- /dev/null
+++ b/src/matrixOperations/logm/slogma.c
@@ -0,0 +1,25 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <malloc.h>
+#include "logm.h"
+
+
+void slogma (float* in, int size, floatComplex* out){
+ floatComplex *inCpx;
+ int i;
+
+ inCpx=malloc((uint)(size*size)*sizeof(floatComplex));
+ for (i=0;i<size*size) inCpx[i] = FloatComplex(in[i],0);
+
+ clogma(inCpx, size, out);
+}
diff --git a/src/matrixOperations/logm/testDoubleLogm.c b/src/matrixOperations/logm/testDoubleLogm.c
new file mode 100644
index 00000000..6fe3d563
--- /dev/null
+++ b/src/matrixOperations/logm/testDoubleLogm.c
@@ -0,0 +1,48 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <malloc.h>
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include "logm.h"
+#include "logm_internal.h"
+
+static void dlogmaTest(void){
+}
+
+
+static void zlogmaTest(void){
+ int i;
+ double inD[9]={0.2113249,0.3303271 , 0.8497452 , 0.7560439, 0.6653811 , 0.6857310 ,0.0002211 , 0.6283918 , 0.8782165};
+ doubleComplex *in, *out;
+ in=malloc((uint)9*sizeof(doubleComplex));
+ out=malloc((uint)9*sizeof(doubleComplex));
+
+ for(i=0;i<9;i++) in[i]=DoubleComplex(inD[i],0);
+
+ wbdiag(in,3,out);
+
+}
+
+static int logmTest(void){
+ dlogmaTest();
+ zlogmaTest();
+ return 0;
+}
+
+int main (void){
+ assert(logmTest()==0);
+ return 0;
+}
+
+
diff --git a/src/matrixOperations/logm/testFloatLogm.c b/src/matrixOperations/logm/testFloatLogm.c
new file mode 100644
index 00000000..71fb1c16
--- /dev/null
+++ b/src/matrixOperations/logm/testFloatLogm.c
@@ -0,0 +1,37 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include "logm.h"
+
+
+static void slogmaTest(void){
+}
+
+
+static void clogmaTest(void){
+}
+
+static int logmTest(void){
+ slogmaTest();
+ clogmaTest();
+ return 0;
+}
+
+int main (void){
+ assert(logmTest()==0);
+ return 0;
+}
+
+
diff --git a/src/matrixOperations/logm/wbdiag.c b/src/matrixOperations/logm/wbdiag.c
new file mode 100644
index 00000000..da6fb1d6
--- /dev/null
+++ b/src/matrixOperations/logm/wbdiag.c
@@ -0,0 +1,306 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "logm_internal.h"
+#include "pow.h"
+#include "abs.h"
+#include "addition.h"
+#include "subtraction.h"
+#include <malloc.h>
+#include <stdio.h>
+
+void wbdiag( doubleComplex* in, int size, doubleComplex* out){
+ double norm=0, rav, cav,c,d;
+ int i=0, j=0, ok=0, l1=0, l11pi=0,k,l, *bs, fail;
+ int l11=0, l22=0, l22m1=0, da22=0, da11=0, one=1, mone, km1;
+ int job=0; /* It seems job is always zero for a call with a complex matrix. It must be confirmed.
+ If it's true, we could remove some parts of the code that use j<>0 */
+ int low=0, high=0;
+ double* scale;
+ doubleComplex *eigenvalue, *x, *y, temp;
+ int boucle_50, boucle_60, boucle_110, boucle_420, boucle_460, boucle_520, boucle_560;
+
+
+ scale = malloc((uint)size*sizeof(double));
+ eigenvalue = malloc((uint)size*sizeof(doubleComplex));
+ x = malloc((uint)size*sizeof(doubleComplex));
+ y = malloc((uint)size*sizeof(doubleComplex));
+ bs = malloc((uint)size*sizeof(int));
+
+
+ /* Compute l1 norm of in */
+ for (i=0;i<size*size;i++){
+ norm += (zreals(in[i])+zimags(in[i]));
+ }
+
+
+ /* convert a to upper hessenberg form */
+ cbal(in, size, &low, &high, scale);
+ corth(in, size, 1, size, eigenvalue);
+ cortr(in, size, 1, size, eigenvalue, x);
+
+
+ /* convert a to upper triangular form by qr method */
+ comqr3(in, size, eigenvalue, 1, size, 11, x);
+
+ /* reduce a to block diagonal form
+
+ segment a into 4 matrices: a11, a 1 x 1 block
+ whose (1,1)-element is at a(l11,l11)) a22, a 1 x 1
+ block whose (1,1)-element is at a(l22,l22)) a12,
+ a 1 x 1 block whose (1,1)-element is at a(l11,l22))
+ and a21, a 1 x 1 block = 0 whose (1,1)-
+ element is at a(l22,l11).
+
+
+
+ this loop uses l11 as loop index and splits off a block
+ starting at a(l11,l11). */
+
+ l11=1;
+
+ while(l11<=size){/* debut boucle_40 */
+ l22=l11;
+ /* this loop uses da11 as loop variable and attempts to split
+ c off a block of size da11 starting at a(l11,l11) */
+ while (boucle_50){
+ if (l22!=l11) boucle_60=1;
+ else {
+ da11 = 1;
+ l22 = l11 + 1;
+ l22m1 = l22 - 1;
+ boucle_60=0;
+ }
+ if (boucle_60==1){
+ /* compute the average of the eigenvalues in a11 */
+ rav = 0;
+ cav = 0;
+ for (i=l11;i<l22m1;i++){
+ rav = rav + zreals(eigenvalue[i]);
+ cav = cav + dabss(zimags(eigenvalue[i]));
+ }
+
+ rav = rav/da11;
+ cav = cav/da11;
+ /* loop on eigenvalues of a22 to find the one closest to the av */
+ d = dpows(rav-zreals(eigenvalue[l22-1]),2) + dpows(cav-zimags(eigenvalue[l22-1]),2);
+ k = l22;
+ l = l22 + 1;
+
+ if(l<size){
+ c = dpows(rav-zreals(eigenvalue[l-1]),2) + dpows(cav-zimags(eigenvalue[l-1]),2);
+ if (c < d){
+ k = l;
+ d = c;
+ }
+ l = l + 1;
+ }
+
+ /* loop to move the eigenvalue just located
+ into first position of block a22.
+ the block we're moving to add to a11 is a 1 x 1 */
+ boucle_110=1;
+ while (boucle_110){
+ if (k==l22) boucle_110=0;
+ else{
+ km1 = k - 1;
+ wexchn();
+ temp = eigenvalue[k-1];
+ eigenvalue[k-1] = eigenvalue[km1-1];
+ eigenvalue[km1-1] = temp;
+ k = km1;
+
+ if (k<=l22) boucle_110=0;
+ }
+ }
+ da11 = da11 + 1;
+ l22 = l11 + da11;
+ l22m1 = l22 - 1;
+ }
+ if (l22>=size) boucle_50=0;
+ else {
+ /* attempt to split off a block of size da11. */
+ da22 = size - l22 + 1;
+
+ /* save a12 in its transpose form in block a21. */
+ for (j=l11;j<l22m1;j++){
+ for (i=l22;i<size;i++){
+ in[(i-1)*size+j]=in[(j-1)*size+i];
+ }
+ }
+ /* convert a11 to lower quasi-triangular and multiply it by -1 and
+ c a12 appropriately (for solving -a11*p+p*a22=a12).
+
+ c write(6,'(''da11='',i2,''da22='',i2)') da11,da22
+ c write(6,'(''a'')')
+ c call wmdsp(ar,ai,n,n,n,10,1,80,6,cw,iw)
+ */
+
+ dad(in, size, l11, l22m1, l11, size, one, 0);
+ dad(in, size, l11, l22m1, l11, l22m1, mone, 1);
+
+ /* solve -a11*p + p*a22 = a12. */
+ wshrsl();
+ if (ok) boucle_50=0;
+ else {
+ /* change a11 back to upper quasi-triangular. */
+ dad(in, size, l11, l22m1, l11, l22m1, one, 1);
+ dad(in, size, l11, l22m1, l11, l22m1, mone, 0);
+
+ /* move saved a12 back into its correct position. */
+ for (j=l11;j<l22m1;j++){
+ for(i=l22;i<size;i++){
+ in[(j-1)*size+i-1] = in[(i-1)*size+j-1];
+ in[(i-1)*size+j-1] = DoubleComplex(0,0);
+ }
+
+ }
+ }
+
+ }
+ }/*boucle_50*/
+ /* change solution to p to proper form */
+ if (l22<=size){
+ dad(in,size,l11,l22m1,l11,size,one,0);
+ dad(in,size,l11,l22m1,l11,l22m1,mone,1);
+ }
+ bs[l11-1]=da11;
+ j=da11-1;
+ if (j!=0){
+ for(i=1;i<=j;i++){
+ l11pi=l1+i;
+ bs[l11pi-1]=-(da11-i);
+ }
+ l11=l22;
+ }/* boucle_40 */
+
+
+ fail=1;
+ /*
+ set transformations matrices as required
+ if (job == 3) return;
+
+ compute inverse tranformation
+ if (job ==1){
+ for (i=0;i<size;i++){
+ for(j=0;j<size;j++){
+ y[i*size+j-1]=x[j*size+i-1];
+ }
+ }
+
+ l22=1;
+ boucle_420=1;
+ while (boucle_420){
+ l11=l22;
+ l22=l11+bs[l11-1];
+ if (l22>size) {
+ boucle_420=0;
+ break;
+ }
+ l22m1=l22-1;
+
+ for (i=l11;i<=l22m1;i++){
+ for(j=1;j<=size;j++){
+ y[i*size+j-1]=zadds(zdiffs(y[i*size+j-1],ddot()),ddot());
+ }
+ }
+ }
+
+ if (high<>low){
+ for (j=low;j<=high;j++){
+ temp=1/scale[j-1];
+ for(i=1;i<=size;i++){
+ y[i*size+j-1]=y[i*size+j-1]*temp;
+ }
+ }
+ }
+
+ for (ii=1;ii<+size;i++){
+ i=ii;
+ if ( (i<low) || (i>high) ){
+ if (i<low) i=low-ii;
+ k=scale[i-1];
+ if (k<>i){
+ for (j=1;j<=size;j++){
+ temp=y[j*size+i-1];
+ y[j*size+i-1] = y[j*size+k-1];
+ y[j*size+k-1] = temp;
+ }
+ }
+ }
+ }
+ }
+ */
+ if (job!=2){
+ /* Compute right transformation */
+ l22=1;
+ boucle_460=1;
+ while(boucle_460){
+ l11=l22;
+ l22=l11+bs[l11-1];
+ if (l22>size) {
+ boucle_420=0;
+ break;
+ }
+
+ for (j=l22;j<=size;j++){
+ for(i=1;i<=size;i++){
+ x[i*size+j-1]=zadds(zdiffs(x[i*size+j-1],ddot()),ddot());
+ }
+ }
+ }
+ balbak();
+ }
+
+ /* extract non orthogonal transformation from in */
+ for (j=1;j<size;j++){
+ dset();
+ }
+
+ dset();
+ l22=1;
+ boucle_520=1;
+ while(boucle_520){
+ l11=l22;
+ if(l11>size) {
+ boucle_520=0;
+ break;
+ }
+ l22=l11+bs[l11-1];
+ for (j=l22;j<=size;j++){
+ for (i=1;i<=size;i++){
+ y[i*size+j-1]=zdiffs(zadds(y[i*size+j-1],ddot()),ddot());
+ }
+ }
+ }
+ }
+
+ /* set zeros in the matrix in */
+ l11=1;
+ boucle_560=1;
+ while (boucle_560){
+ l22=l11+bs[l11-1];
+ if (l22>size){
+ boucle_560=0;
+ break;
+ }
+ l22m1=l22-1;
+
+ for(j=l11;j<=l22m1;j++){
+ dset();
+ dset();
+ }
+ l11=l22;
+ }
+ out=in;
+
+}
diff --git a/src/matrixOperations/logm/zlogma.c b/src/matrixOperations/logm/zlogma.c
new file mode 100644
index 00000000..2bbb4488
--- /dev/null
+++ b/src/matrixOperations/logm/zlogma.c
@@ -0,0 +1,90 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA - Arnaud TORSET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <stdio.h>
+#include <malloc.h>
+#include "lapack.h"
+#include "pow.h"
+#include "logm.h"
+#include "log.h"
+#include "matrixMultiplication.h"
+#include "matrixTranspose.h"
+#include "matrixInversion.h"
+#include "logm_internal.h"
+
+void zlogma (doubleComplex* in, int size, doubleComplex* out){
+ doubleComplex *out1, *out2, *tmp, *inCopy;
+ int i=0, j=0, egaux=0;
+ int mon_select, sdim, lwork, bwork, info = 0;
+ doubleComplex *eigenvalues, *work, *rwork;
+
+
+
+ inCopy=malloc((uint)(size*size)*sizeof(doubleComplex));
+ out1=malloc((uint)(size*size)*sizeof(doubleComplex));
+ out2=malloc((uint)(size*size)*sizeof(doubleComplex));
+ tmp=malloc((uint)(size*size)*sizeof(doubleComplex));
+ eigenvalues=malloc((uint)size*sizeof(doubleComplex));
+ work=malloc((uint)(dpows(2,size))*sizeof(doubleComplex));
+ rwork=malloc((uint)size*sizeof(doubleComplex));
+
+ for (i=0;i<size*size;i++) inCopy[i]=in[i];
+ ztransposea(in,size,size,tmp);
+
+ /* Check if in and transpose(in) are equals */
+ for (i=0;i<size*size;i++){
+ if ( (zreals(in[i])!=zreals(tmp[i])) || (zimags(in[i])!=zimags(tmp[i])) ) break;
+ }
+ if (i==size*size) egaux =1;
+
+ for (i=0;i<size*size;i++) out1[i]=in[i];
+
+ if (egaux){
+ /*Hermitian matrix*/
+
+
+ C2F(zgees)("V","S", &mon_select, &size, out1, &size, &sdim, eigenvalues, out2, &size, work, &lwork, rwork, &bwork, &info);
+
+ for (i=0;i<size;i++){
+ for (j=0;j<size;j++){
+ tmp[i*size+j]=DoubleComplex(0,0);
+ if (i==j) tmp[i*size+j]=zlogs(out2[i*size+j]);
+ }
+ }
+
+ zmulma(out1,size,size,tmp,size,size,out2);
+ ztransposea(out1,size,size,tmp);
+
+ }
+ else
+ {
+ /*General Matrix*/
+ /* A faire
+ wbdiag (appel à bdiag dans le script mais le bdiag de scilab
+ appelle sci_bdiag qui lui appelle wbdiag car input complexe)
+ */
+ wbdiag(out1,size,out2);
+
+ for (i=0;i<size;i++){
+ for (j=0;j<size;j++){
+ tmp[i*size+j]=DoubleComplex(0,0);
+ if (i==j) tmp[i*size+j]=zlogs(out2[i*size+j]);
+ }
+ }
+
+ zmulma(out1,size,size,tmp,size,size,out2);
+ zinverma(out1,tmp,size);
+
+ }
+
+ zmulma(out2,size,size,tmp,size,size,out);
+}
generated by cgit (git 2.34.1) at 2025-03-21 06:51:48 +0000