Moving source code

15 files changed, 1633 insertions, 0 deletions

diff --git a/src/c/auxiliaryFunctions/abs/Makefile.am b/src/c/auxiliaryFunctions/abs/Makefile.am
new file mode 100644
index 00000000..88240c22
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/Makefile.am
@@ -0,0 +1,65 @@
+##
+##  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+##  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+##
+##  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
+##
+##
+
+libAbs_la_CFLAGS =	-I $(top_builddir)/type \
+			-I $(top_builddir)/auxiliaryFunctions/includes \
+			-I $(top_builddir)/elementaryFunctions/includes
+
+instdir = $(top_builddir)/lib
+
+pkglib_LTLIBRARIES =	libAbs.la
+
+libAbs_la_SOURCES =	$(HEAD) $(SRC)
+
+SRC	=	sabss.c \
+		dabss.c \
+		cabss.c \
+		zabss.c \
+		sabsa.c \
+		dabsa.c \
+		cabsa.c \
+		zabsa.c
+
+HEAD	=	../includes/abs.h
+
+####
+# Checking Part
+####
+
+check_INCLUDES	=	-I $(top_builddir)/auxiliaryFunctions/includes \
+			-I $(top_builddir)/elementaryFunctions/includes \
+			-I $(top_builddir)/type
+
+check_LDADD	=	$(top_builddir)/type/libDoubleComplex.la \
+			$(top_builddir)/type/libFloatComplex.la \
+			$(top_builddir)/operations/addition/libAddition.la \
+			$(top_builddir)/lib/lapack/libscilapack.la \
+			$(top_builddir)/auxiliaryFunctions/abs/libAbs.la \
+			$(top_builddir)/elementaryFunctions/sqrt/libSqrt.la \
+			$(top_builddir)/auxiliaryFunctions/pythag/libPythag.la \
+			$(top_builddir)/operations/multiplication/libMultiplication.la \
+			@LIBMATH@
+
+check_PROGRAMS	= 	testFloatAbs testDoubleAbs
+
+TESTS		=	testFloatAbs testDoubleAbs
+
+#
+# -*- Abs Tests -*-
+#
+testFloatAbs_SOURCES = 	testAbs.h testFloatAbs.c
+testFloatAbs_CFLAGS =	$(check_INCLUDES)
+testFloatAbs_LDADD =	$(check_LDADD)
+
+testDoubleAbs_SOURCES =	testAbs.h testDoubleAbs.c
+testDoubleAbs_CFLAGS =	$(check_INCLUDES)
+testDoubleAbs_LDADD =	$(check_LDADD)
diff --git a/src/c/auxiliaryFunctions/abs/Makefile.in b/src/c/auxiliaryFunctions/abs/Makefile.in
new file mode 100644
index 00000000..dcd9e3a8
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/Makefile.in
@@ -0,0 +1,728 @@
+# 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="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd
+install_sh_DATA = $(install_sh) -c -m 644
+install_sh_PROGRAM = $(install_sh) -c
+install_sh_SCRIPT = $(install_sh) -c
+INSTALL_HEADER = $(INSTALL_DATA)
+transform = $(program_transform_name)
+NORMAL_INSTALL = :
+PRE_INSTALL = :
+POST_INSTALL = :
+NORMAL_UNINSTALL = :
+PRE_UNINSTALL = :
+POST_UNINSTALL = :
+build_triplet = @build@
+host_triplet = @host@
+check_PROGRAMS = testFloatAbs$(EXEEXT) testDoubleAbs$(EXEEXT)
+TESTS = testFloatAbs$(EXEEXT) testDoubleAbs$(EXEEXT)
+subdir = auxiliaryFunctions/abs
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
+am__aclocal_m4_deps = $(top_srcdir)/configure.ac
+am__configure_deps = $(am__aclocal_m4_deps) $(CONFIGURE_DEPENDENCIES) \
+	$(ACLOCAL_M4)
+mkinstalldirs = $(install_sh) -d
+CONFIG_HEADER = $(top_builddir)/includes/machine.h
+CONFIG_CLEAN_FILES =
+am__vpath_adj_setup = srcdirstrip=`echo "$(srcdir)" | sed 's|.|.|g'`;
+am__vpath_adj = case $$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)
+libAbs_la_LIBADD =
+am__objects_1 =
+am__objects_2 = libAbs_la-sabss.lo libAbs_la-dabss.lo \
+	libAbs_la-cabss.lo libAbs_la-zabss.lo libAbs_la-sabsa.lo \
+	libAbs_la-dabsa.lo libAbs_la-cabsa.lo libAbs_la-zabsa.lo
+am_libAbs_la_OBJECTS = $(am__objects_1) $(am__objects_2)
+libAbs_la_OBJECTS = $(am_libAbs_la_OBJECTS)
+libAbs_la_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+	$(LIBTOOLFLAGS) --mode=link $(CCLD) $(libAbs_la_CFLAGS) \
+	$(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
+am_testDoubleAbs_OBJECTS = testDoubleAbs-testDoubleAbs.$(OBJEXT)
+testDoubleAbs_OBJECTS = $(am_testDoubleAbs_OBJECTS)
+am__DEPENDENCIES_1 = $(top_builddir)/type/libDoubleComplex.la \
+	$(top_builddir)/type/libFloatComplex.la \
+	$(top_builddir)/operations/addition/libAddition.la \
+	$(top_builddir)/lib/lapack/libscilapack.la \
+	$(top_builddir)/auxiliaryFunctions/abs/libAbs.la \
+	$(top_builddir)/elementaryFunctions/sqrt/libSqrt.la \
+	$(top_builddir)/auxiliaryFunctions/pythag/libPythag.la \
+	$(top_builddir)/operations/multiplication/libMultiplication.la
+testDoubleAbs_DEPENDENCIES = $(am__DEPENDENCIES_1)
+testDoubleAbs_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+	$(LIBTOOLFLAGS) --mode=link $(CCLD) $(testDoubleAbs_CFLAGS) \
+	$(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
+am_testFloatAbs_OBJECTS = testFloatAbs-testFloatAbs.$(OBJEXT)
+testFloatAbs_OBJECTS = $(am_testFloatAbs_OBJECTS)
+testFloatAbs_DEPENDENCIES = $(am__DEPENDENCIES_1)
+testFloatAbs_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+	$(LIBTOOLFLAGS) --mode=link $(CCLD) $(testFloatAbs_CFLAGS) \
+	$(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
+DEFAULT_INCLUDES = -I.@am__isrc@ -I$(top_builddir)/includes
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+am__depfiles_maybe = depfiles
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+	$(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
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+	--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 = $(libAbs_la_SOURCES) $(testDoubleAbs_SOURCES) \
+	$(testFloatAbs_SOURCES)
+DIST_SOURCES = $(libAbs_la_SOURCES) $(testDoubleAbs_SOURCES) \
+	$(testFloatAbs_SOURCES)
+ETAGS = etags
+CTAGS = ctags
+DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
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+SHELL = @SHELL@
+STRIP = @STRIP@
+VERSION = @VERSION@
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+abs_srcdir = @abs_srcdir@
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+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@
+lt_ECHO = @lt_ECHO@
+mandir = @mandir@
+mkdir_p = @mkdir_p@
+oldincludedir = @oldincludedir@
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+sysconfdir = @sysconfdir@
+target_alias = @target_alias@
+top_builddir = @top_builddir@
+top_srcdir = @top_srcdir@
+libAbs_la_CFLAGS = -I $(top_builddir)/type \
+			-I $(top_builddir)/auxiliaryFunctions/includes \
+			-I $(top_builddir)/elementaryFunctions/includes
+
+instdir = $(top_builddir)/lib
+pkglib_LTLIBRARIES = libAbs.la
+libAbs_la_SOURCES = $(HEAD) $(SRC)
+SRC = sabss.c \
+		dabss.c \
+		cabss.c \
+		zabss.c \
+		sabsa.c \
+		dabsa.c \
+		cabsa.c \
+		zabsa.c
+
+HEAD = ../includes/abs.h
+
+####
+# Checking Part
+####
+check_INCLUDES = -I $(top_builddir)/auxiliaryFunctions/includes \
+			-I $(top_builddir)/elementaryFunctions/includes \
+			-I $(top_builddir)/type
+
+check_LDADD = $(top_builddir)/type/libDoubleComplex.la \
+			$(top_builddir)/type/libFloatComplex.la \
+			$(top_builddir)/operations/addition/libAddition.la \
+			$(top_builddir)/lib/lapack/libscilapack.la \
+			$(top_builddir)/auxiliaryFunctions/abs/libAbs.la \
+			$(top_builddir)/elementaryFunctions/sqrt/libSqrt.la \
+			$(top_builddir)/auxiliaryFunctions/pythag/libPythag.la \
+			$(top_builddir)/operations/multiplication/libMultiplication.la \
+			@LIBMATH@
+
+
+#
+# -*- Abs Tests -*-
+#
+testFloatAbs_SOURCES = testAbs.h testFloatAbs.c
+testFloatAbs_CFLAGS = $(check_INCLUDES)
+testFloatAbs_LDADD = $(check_LDADD)
+testDoubleAbs_SOURCES = testAbs.h testDoubleAbs.c
+testDoubleAbs_CFLAGS = $(check_INCLUDES)
+testDoubleAbs_LDADD = $(check_LDADD)
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+
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+	  case '$(am__configure_deps)' in \
+	    *$$dep*) \
+	      cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh \
+		&& exit 0; \
+	      exit 1;; \
+	  esac; \
+	done; \
+	echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign  auxiliaryFunctions/abs/Makefile'; \
+	cd $(top_srcdir) && \
+	  $(AUTOMAKE) --foreign  auxiliaryFunctions/abs/Makefile
+.PRECIOUS: Makefile
+Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status
+	@case '$?' in \
+	  *config.status*) \
+	    cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \
+	  *) \
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+	  if test -f $$p; then \
+	    f=$(am__strip_dir) \
+	    echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(pkglibLTLIBRARIES_INSTALL) $(INSTALL_STRIP_FLAG) '$$p' '$(DESTDIR)$(pkglibdir)/$$f'"; \
+	    $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(pkglibLTLIBRARIES_INSTALL) $(INSTALL_STRIP_FLAG) "$$p" "$(DESTDIR)$(pkglibdir)/$$f"; \
+	  else :; fi; \
+	done
+
+uninstall-pkglibLTLIBRARIES:
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+	@list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
+	  p=$(am__strip_dir) \
+	  echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f '$(DESTDIR)$(pkglibdir)/$$p'"; \
+	  $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f "$(DESTDIR)$(pkglibdir)/$$p"; \
+	done
+
+clean-pkglibLTLIBRARIES:
+	-test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES)
+	@list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \
+	  dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \
+	  test "$$dir" != "$$p" || dir=.; \
+	  echo "rm -f \"$${dir}/so_locations\""; \
+	  rm -f "$${dir}/so_locations"; \
+	done
+libAbs.la: $(libAbs_la_OBJECTS) $(libAbs_la_DEPENDENCIES) 
+	$(libAbs_la_LINK) -rpath $(pkglibdir) $(libAbs_la_OBJECTS) $(libAbs_la_LIBADD) $(LIBS)
+
+clean-checkPROGRAMS:
+	@list='$(check_PROGRAMS)'; for p in $$list; do \
+	  f=`echo $$p|sed 's/$(EXEEXT)$$//'`; \
+	  echo " rm -f $$p $$f"; \
+	  rm -f $$p $$f ; \
+	done
+testDoubleAbs$(EXEEXT): $(testDoubleAbs_OBJECTS) $(testDoubleAbs_DEPENDENCIES) 
+	@rm -f testDoubleAbs$(EXEEXT)
+	$(testDoubleAbs_LINK) $(testDoubleAbs_OBJECTS) $(testDoubleAbs_LDADD) $(LIBS)
+testFloatAbs$(EXEEXT): $(testFloatAbs_OBJECTS) $(testFloatAbs_DEPENDENCIES) 
+	@rm -f testFloatAbs$(EXEEXT)
+	$(testFloatAbs_LINK) $(testFloatAbs_OBJECTS) $(testFloatAbs_LDADD) $(LIBS)
+
+mostlyclean-compile:
+	-rm -f *.$(OBJEXT)
+
+distclean-compile:
+	-rm -f *.tab.c
+
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAbs_la-cabsa.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAbs_la-cabss.Plo@am__quote@
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+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAbs_la-zabsa.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAbs_la-zabss.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/testDoubleAbs-testDoubleAbs.Po@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/testFloatAbs-testFloatAbs.Po@am__quote@
+
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+@am__fastdepCC_TRUE@	mv -f $(DEPDIR)/$*.Tpo $(DEPDIR)/$*.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@	source='$<' object='$@' libtool=yes @AMDEPBACKSLASH@
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+@am__fastdepCC_FALSE@	$(LTCOMPILE) -c -o $@ $<
+
+libAbs_la-sabss.lo: sabss.c
+@am__fastdepCC_TRUE@	$(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libAbs_la_CFLAGS) $(CFLAGS) -MT libAbs_la-sabss.lo -MD -MP -MF $(DEPDIR)/libAbs_la-sabss.Tpo -c -o libAbs_la-sabss.lo `test -f 'sabss.c' || echo '$(srcdir)/'`sabss.c
+@am__fastdepCC_TRUE@	mv -f $(DEPDIR)/libAbs_la-sabss.Tpo $(DEPDIR)/libAbs_la-sabss.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@	source='sabss.c' object='libAbs_la-sabss.lo' libtool=yes @AMDEPBACKSLASH@
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+	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/c/auxiliaryFunctions/abs/cabsa.c b/src/c/auxiliaryFunctions/abs/cabsa.c
new file mode 100644
index 00000000..cacf4273
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/cabsa.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+
+void	cabsa(floatComplex *in, int size, float* out) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    out[i] = cabss(in[i]);
+  }
+}
diff --git a/src/c/auxiliaryFunctions/abs/cabss.c b/src/c/auxiliaryFunctions/abs/cabss.c
new file mode 100644
index 00000000..8cd766df
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/cabss.c
@@ -0,0 +1,30 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+#include "sqrt.h"
+#include "max.h"
+#include "min.h"
+
+float cabss(floatComplex in) {
+  float real = sabss(creals(in));
+  float imag = sabss(cimags(in));
+  float zMax = max(real, imag);
+  float zMin = min(real, imag);
+
+  if(zMin == 0)
+    {
+      return zMax;
+    }
+  return zMax * (ssqrts(1 + (zMin / zMax) * (zMin / zMax)));
+}
diff --git a/src/c/auxiliaryFunctions/abs/dabsa.c b/src/c/auxiliaryFunctions/abs/dabsa.c
new file mode 100644
index 00000000..edff9910
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/dabsa.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+
+void	dabsa(double *in, int size, double* out){
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    out[i] = dabss(in[i]);
+  }
+}
diff --git a/src/c/auxiliaryFunctions/abs/dabss.c b/src/c/auxiliaryFunctions/abs/dabss.c
new file mode 100644
index 00000000..5be86cd1
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/dabss.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+
+double dabss(double num) {
+  if (num >= 0) {
+    return num;
+  }
+  return -num;
+}
diff --git a/src/c/auxiliaryFunctions/abs/sabsa.c b/src/c/auxiliaryFunctions/abs/sabsa.c
new file mode 100644
index 00000000..406afc59
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/sabsa.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+
+void	sabsa(float *in, int size, float* out) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    out[i] = sabss(in[i]);
+  }
+}
diff --git a/src/c/auxiliaryFunctions/abs/sabss.c b/src/c/auxiliaryFunctions/abs/sabss.c
new file mode 100644
index 00000000..802951e6
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/sabss.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+
+float sabss(float num) {
+  if (num >= 0) {
+    return num;
+  }
+  return -num;
+}
diff --git a/src/c/auxiliaryFunctions/abs/testAbs.h b/src/c/auxiliaryFunctions/abs/testAbs.h
new file mode 100644
index 00000000..c334f678
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/testAbs.h
@@ -0,0 +1,39 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 _TESTABS_H_
+#define _TESTABS_H_
+
+#include <stdio.h>
+#include <assert.h>
+
+#include "abs.h"
+
+int sabssTest(void);
+
+int dabssTest(void);
+
+int cabssTest(void);
+
+int zabssTest(void);
+
+int sabsaTest(void);
+
+int dabsaTest(void);
+
+int cabsaTest(void);
+
+int zabsaTest(void);
+
+int testAbs(void);
+
+#endif /* ! _TESTABS_H_ */
diff --git a/src/c/auxiliaryFunctions/abs/testDoubleAbs.c b/src/c/auxiliaryFunctions/abs/testDoubleAbs.c
new file mode 100644
index 00000000..c096692e
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/testDoubleAbs.c
@@ -0,0 +1,93 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "testAbs.h"
+
+int dabssTest() {
+  double value1 = -123456.789;
+  double value2 = 987654.321;
+  printf(">> Doubles \n");
+  assert(dabss(value1) == -value1);
+  assert(dabss(value2) == value2);
+  assert(dabss(0) == 0);
+  assert(dabss(-1) == 1);
+  assert(dabss(1) == 1);
+  return 0;
+}
+
+int zabssTest() {
+  doubleComplex value1 = DoubleComplex(4,3);
+  printf(">> Double Complex \n");
+  assert(zabss(value1) == 5);
+  return 0;
+}
+
+int dabsaTest() {
+  double value1 = -123456.789;
+  double value2 = 987654.321;
+  double value3 = 0;
+  double in[3];
+  double out[3];
+
+  in[0] = value1;
+  in[1] = value2;
+  in[2] = value3;
+
+  printf(">> Doubles Array\n");
+  dabsa(in, 3, out);
+  assert(out[0] == -value1);
+  assert(out[1] == value2);
+  assert(out[2] == value3);
+  assert(out[2] == 0);
+  return 0;
+}
+
+int zabsaTest() {
+  doubleComplex in[4];
+  double out[4];
+
+  in[0] = DoubleComplex(4,3);
+  in[1] = DoubleComplex(-4,3);
+  in[2] = DoubleComplex(4,-3);
+  in[3] = DoubleComplex(-4,-3);
+
+  printf(">> Double Complex Array\n");
+  zabsa(in, 4, out);
+  assert(out[0] == 5);
+  assert(out[1] == 5);
+  assert(out[2] == 5);
+  assert(out[3] == 5);
+  return 0;
+}
+
+int testAbs() {
+  int dabssStatus = 0;
+  int zabssStatus = 0;
+  int dabsaStatus = 0;
+  int zabsaStatus = 0;
+
+  printf(">>>> Abs Tests\n");
+  dabssStatus = dabssTest();
+  zabssStatus = zabssTest();
+  dabsaStatus = dabsaTest();
+  zabsaStatus = zabsaTest();
+
+  return (dabssStatus +
+	  zabssStatus+
+	  dabsaStatus +
+	  zabsaStatus);
+}
+
+int main(void) {
+  assert(testAbs() == 0);
+  return 0;
+}
diff --git a/src/c/auxiliaryFunctions/abs/testFloatAbs.c b/src/c/auxiliaryFunctions/abs/testFloatAbs.c
new file mode 100644
index 00000000..93bbba63
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/testFloatAbs.c
@@ -0,0 +1,93 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "testAbs.h"
+
+int sabssTest() {
+  float value1 = -123456.789f;
+  float value2 = 987654.321f;
+  printf(">> Floats \n");
+  assert(sabss(value1) == -value1);
+  assert(sabss(value2) == value2);
+  assert(sabss(0) == 0);
+  assert(sabss(-1) == 1);
+  assert(sabss(1) == 1);
+  return 0;
+}
+
+int cabssTest() {
+  floatComplex value1 = FloatComplex(4.0f,3.0f);
+  printf(">> Float Complex \n");
+  assert(cabss(value1) == 5.0f);
+  return 0;
+}
+
+int sabsaTest() {
+  float value1 = -123456.789f;
+  float value2 = 987654.321f;
+  float value3 = 0.0f;
+  float in[3];
+  float out[3];
+
+  in[0] = value1;
+  in[1] = value2;
+  in[2] = value3;
+
+  printf(">> Floats Array\n");
+  sabsa(in, 3, out);
+  assert(out[0] == -value1);
+  assert(out[1] == value2);
+  assert(out[2] == value3);
+  assert(out[2] == 0.0f);
+  return 0;
+}
+
+int cabsaTest() {
+  floatComplex in[4];
+  float out[4];
+
+  in[0] = FloatComplex(4.0f,3.0f);
+  in[1] = FloatComplex(-4.0f,3.0f);
+  in[2] = FloatComplex(4.0f,-3.0f);
+  in[3] = FloatComplex(-4.0f,-3.0f);
+
+  printf(">> Float Complex Array\n");
+  cabsa(in, 4, out);
+  assert(out[0] == 5.0f);
+  assert(out[1] == 5.0f);
+  assert(out[2] == 5.0f);
+  assert(out[3] == 5.0f);
+  return 0;
+}
+
+int testAbs() {
+  int sabssStatus = 0;
+  int cabssStatus = 0;
+  int sabsaStatus = 0;
+  int cabsaStatus = 0;
+
+  printf(">>>> Float Abs Tests\n");
+  sabssStatus = sabssTest();
+  cabssStatus = cabssTest();
+  sabsaStatus = sabsaTest();
+  cabsaStatus = cabsaTest();
+
+  return (sabssStatus +
+	  cabssStatus +
+	  sabsaStatus +
+	  cabsaStatus);
+}
+
+int main(void) {
+  assert(testAbs() == 0);
+  return 0;
+}
diff --git a/src/c/auxiliaryFunctions/abs/test_DoubleAbs/testDoubleAbs.vcproj b/src/c/auxiliaryFunctions/abs/test_DoubleAbs/testDoubleAbs.vcproj
new file mode 100644
index 00000000..d2b9248f
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/test_DoubleAbs/testDoubleAbs.vcproj
@@ -0,0 +1,217 @@
+<?xml version="1.0" encoding="Windows-1252"?>

+<VisualStudioProject

+	ProjectType="Visual C++"

+	Version="9,00"

+	Name="testDoubleAbs"

+	ProjectGUID="{5A8D4B59-AC5D-4BA0-A26F-17E740F35042}"

+	RootNamespace="testDoubleAbs"

+	Keyword="Win32Proj"

+	TargetFrameworkVersion="196613"

+	>

+	<Platforms>

+		<Platform

+			Name="Win32"

+		/>

+	</Platforms>

+	<ToolFiles>

+	</ToolFiles>

+	<Configurations>

+		<Configuration

+			Name="Debug|Win32"

+			OutputDirectory="$(SolutionDir)$(ConfigurationName)"

+			IntermediateDirectory="$(ConfigurationName)"

+			ConfigurationType="1"

+			CharacterSet="1"

+			>

+			<Tool

+				Name="VCPreBuildEventTool"

+			/>

+			<Tool

+				Name="VCCustomBuildTool"

+			/>

+			<Tool

+				Name="VCXMLDataGeneratorTool"

+			/>

+			<Tool

+				Name="VCWebServiceProxyGeneratorTool"

+			/>

+			<Tool

+				Name="VCMIDLTool"

+			/>

+			<Tool

+				Name="VCCLCompilerTool"

+				Optimization="0"

+				AdditionalIncludeDirectories="../../../auxiliaryFunctions/includes;../../../elementaryFunctions/includes;../../../type"

+				PreprocessorDefinitions="WIN32;_DEBUG;_CONSOLE"

+				MinimalRebuild="true"

+				BasicRuntimeChecks="3"

+				RuntimeLibrary="3"

+				UsePrecompiledHeader="0"

+				WarningLevel="3"

+				DebugInformationFormat="4"

+			/>

+			<Tool

+				Name="VCManagedResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCPreLinkEventTool"

+			/>

+			<Tool

+				Name="VCLinkerTool"

+				OutputFile="$(SolutionDir)bin\$(ProjectName).exe"

+				LinkIncremental="2"

+				GenerateDebugInformation="true"

+				SubSystem="1"

+				TargetMachine="1"

+			/>

+			<Tool

+				Name="VCALinkTool"

+			/>

+			<Tool

+				Name="VCManifestTool"

+			/>

+			<Tool

+				Name="VCXDCMakeTool"

+			/>

+			<Tool

+				Name="VCBscMakeTool"

+			/>

+			<Tool

+				Name="VCFxCopTool"

+			/>

+			<Tool

+				Name="VCAppVerifierTool"

+			/>

+			<Tool

+				Name="VCPostBuildEventTool"

+			/>

+		</Configuration>

+		<Configuration

+			Name="Release|Win32"

+			OutputDirectory="$(SolutionDir)$(ConfigurationName)"

+			IntermediateDirectory="$(ConfigurationName)"

+			ConfigurationType="1"

+			CharacterSet="1"

+			WholeProgramOptimization="1"

+			>

+			<Tool

+				Name="VCPreBuildEventTool"

+			/>

+			<Tool

+				Name="VCCustomBuildTool"

+			/>

+			<Tool

+				Name="VCXMLDataGeneratorTool"

+			/>

+			<Tool

+				Name="VCWebServiceProxyGeneratorTool"

+			/>

+			<Tool

+				Name="VCMIDLTool"

+			/>

+			<Tool

+				Name="VCCLCompilerTool"

+				Optimization="2"

+				EnableIntrinsicFunctions="true"

+				AdditionalIncludeDirectories="../../../auxiliaryFunctions/includes;../../../elementaryFunctions/includes;../../../type"

+				PreprocessorDefinitions="WIN32;NDEBUG;_CONSOLE"

+				RuntimeLibrary="2"

+				EnableFunctionLevelLinking="true"

+				UsePrecompiledHeader="0"

+				WarningLevel="3"

+				DebugInformationFormat="3"

+			/>

+			<Tool

+				Name="VCManagedResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCPreLinkEventTool"

+			/>

+			<Tool

+				Name="VCLinkerTool"

+				OutputFile="$(SolutionDir)bin\$(ProjectName).exe"

+				LinkIncremental="1"

+				GenerateDebugInformation="true"

+				SubSystem="1"

+				OptimizeReferences="2"

+				EnableCOMDATFolding="2"

+				TargetMachine="1"

+			/>

+			<Tool

+				Name="VCALinkTool"

+			/>

+			<Tool

+				Name="VCManifestTool"

+			/>

+			<Tool

+				Name="VCXDCMakeTool"

+			/>

+			<Tool

+				Name="VCBscMakeTool"

+			/>

+			<Tool

+				Name="VCFxCopTool"

+			/>

+			<Tool

+				Name="VCAppVerifierTool"

+			/>

+			<Tool

+				Name="VCPostBuildEventTool"

+			/>

+		</Configuration>

+	</Configurations>

+	<References>

+	</References>

+	<Files>

+		<Filter

+			Name="Source Files"

+			Filter="cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx"

+			UniqueIdentifier="{4FC737F1-C7A5-4376-A066-2A32D752A2FF}"

+			>

+			<File

+				RelativePath="..\testDoubleAbs.c"

+				>

+				<FileConfiguration

+					Name="Debug|Win32"

+					>

+					<Tool

+						Name="VCCLCompilerTool"

+						CompileAs="2"

+					/>

+				</FileConfiguration>

+				<FileConfiguration

+					Name="Release|Win32"

+					>

+					<Tool

+						Name="VCCLCompilerTool"

+						CompileAs="2"

+					/>

+				</FileConfiguration>

+			</File>

+		</Filter>

+		<Filter

+			Name="Header Files"

+			Filter="h;hpp;hxx;hm;inl;inc;xsd"

+			UniqueIdentifier="{93995380-89BD-4b04-88EB-625FBE52EBFB}"

+			>

+			<File

+				RelativePath="..\testAbs.h"

+				>

+			</File>

+		</Filter>

+		<Filter

+			Name="Resource Files"

+			Filter="rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav"

+			UniqueIdentifier="{67DA6AB6-F800-4c08-8B7A-83BB121AAD01}"

+			>

+		</Filter>

+	</Files>

+	<Globals>

+	</Globals>

+</VisualStudioProject>

diff --git a/src/c/auxiliaryFunctions/abs/test_FloatAbs/testFloatAbs.vcproj b/src/c/auxiliaryFunctions/abs/test_FloatAbs/testFloatAbs.vcproj
new file mode 100644
index 00000000..1958ed13
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/test_FloatAbs/testFloatAbs.vcproj
@@ -0,0 +1,217 @@
+<?xml version="1.0" encoding="Windows-1252"?>

+<VisualStudioProject

+	ProjectType="Visual C++"

+	Version="9,00"

+	Name="testFloatAbs"

+	ProjectGUID="{4B5A02A3-C3EF-4A5C-B5A8-7264697D42B6}"

+	RootNamespace="testFloatAbs"

+	Keyword="Win32Proj"

+	TargetFrameworkVersion="196613"

+	>

+	<Platforms>

+		<Platform

+			Name="Win32"

+		/>

+	</Platforms>

+	<ToolFiles>

+	</ToolFiles>

+	<Configurations>

+		<Configuration

+			Name="Debug|Win32"

+			OutputDirectory="$(SolutionDir)$(ConfigurationName)"

+			IntermediateDirectory="$(ConfigurationName)"

+			ConfigurationType="1"

+			CharacterSet="1"

+			>

+			<Tool

+				Name="VCPreBuildEventTool"

+			/>

+			<Tool

+				Name="VCCustomBuildTool"

+			/>

+			<Tool

+				Name="VCXMLDataGeneratorTool"

+			/>

+			<Tool

+				Name="VCWebServiceProxyGeneratorTool"

+			/>

+			<Tool

+				Name="VCMIDLTool"

+			/>

+			<Tool

+				Name="VCCLCompilerTool"

+				Optimization="0"

+				AdditionalIncludeDirectories="../../../auxiliaryFunctions/includes;../../../elementaryFunctions/includes;../../../type"

+				PreprocessorDefinitions="WIN32;_DEBUG;_CONSOLE"

+				MinimalRebuild="true"

+				BasicRuntimeChecks="3"

+				RuntimeLibrary="3"

+				UsePrecompiledHeader="0"

+				WarningLevel="3"

+				DebugInformationFormat="4"

+			/>

+			<Tool

+				Name="VCManagedResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCPreLinkEventTool"

+			/>

+			<Tool

+				Name="VCLinkerTool"

+				OutputFile="$(SolutionDir)bin\$(ProjectName).exe"

+				LinkIncremental="2"

+				GenerateDebugInformation="true"

+				SubSystem="1"

+				TargetMachine="1"

+			/>

+			<Tool

+				Name="VCALinkTool"

+			/>

+			<Tool

+				Name="VCManifestTool"

+			/>

+			<Tool

+				Name="VCXDCMakeTool"

+			/>

+			<Tool

+				Name="VCBscMakeTool"

+			/>

+			<Tool

+				Name="VCFxCopTool"

+			/>

+			<Tool

+				Name="VCAppVerifierTool"

+			/>

+			<Tool

+				Name="VCPostBuildEventTool"

+			/>

+		</Configuration>

+		<Configuration

+			Name="Release|Win32"

+			OutputDirectory="$(SolutionDir)$(ConfigurationName)"

+			IntermediateDirectory="$(ConfigurationName)"

+			ConfigurationType="1"

+			CharacterSet="1"

+			WholeProgramOptimization="1"

+			>

+			<Tool

+				Name="VCPreBuildEventTool"

+			/>

+			<Tool

+				Name="VCCustomBuildTool"

+			/>

+			<Tool

+				Name="VCXMLDataGeneratorTool"

+			/>

+			<Tool

+				Name="VCWebServiceProxyGeneratorTool"

+			/>

+			<Tool

+				Name="VCMIDLTool"

+			/>

+			<Tool

+				Name="VCCLCompilerTool"

+				Optimization="2"

+				EnableIntrinsicFunctions="true"

+				AdditionalIncludeDirectories="../../../auxiliaryFunctions/includes;../../../elementaryFunctions/includes;../../../type"

+				PreprocessorDefinitions="WIN32;NDEBUG;_CONSOLE"

+				RuntimeLibrary="2"

+				EnableFunctionLevelLinking="true"

+				UsePrecompiledHeader="0"

+				WarningLevel="3"

+				DebugInformationFormat="3"

+			/>

+			<Tool

+				Name="VCManagedResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCResourceCompilerTool"

+			/>

+			<Tool

+				Name="VCPreLinkEventTool"

+			/>

+			<Tool

+				Name="VCLinkerTool"

+				OutputFile="$(SolutionDir)bin\$(ProjectName).exe"

+				LinkIncremental="1"

+				GenerateDebugInformation="true"

+				SubSystem="1"

+				OptimizeReferences="2"

+				EnableCOMDATFolding="2"

+				TargetMachine="1"

+			/>

+			<Tool

+				Name="VCALinkTool"

+			/>

+			<Tool

+				Name="VCManifestTool"

+			/>

+			<Tool

+				Name="VCXDCMakeTool"

+			/>

+			<Tool

+				Name="VCBscMakeTool"

+			/>

+			<Tool

+				Name="VCFxCopTool"

+			/>

+			<Tool

+				Name="VCAppVerifierTool"

+			/>

+			<Tool

+				Name="VCPostBuildEventTool"

+			/>

+		</Configuration>

+	</Configurations>

+	<References>

+	</References>

+	<Files>

+		<Filter

+			Name="Source Files"

+			Filter="cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx"

+			UniqueIdentifier="{4FC737F1-C7A5-4376-A066-2A32D752A2FF}"

+			>

+			<File

+				RelativePath="..\testFloatAbs.c"

+				>

+				<FileConfiguration

+					Name="Debug|Win32"

+					>

+					<Tool

+						Name="VCCLCompilerTool"

+						CompileAs="2"

+					/>

+				</FileConfiguration>

+				<FileConfiguration

+					Name="Release|Win32"

+					>

+					<Tool

+						Name="VCCLCompilerTool"

+						CompileAs="2"

+					/>

+				</FileConfiguration>

+			</File>

+		</Filter>

+		<Filter

+			Name="Header Files"

+			Filter="h;hpp;hxx;hm;inl;inc;xsd"

+			UniqueIdentifier="{93995380-89BD-4b04-88EB-625FBE52EBFB}"

+			>

+			<File

+				RelativePath="..\testAbs.h"

+				>

+			</File>

+		</Filter>

+		<Filter

+			Name="Resource Files"

+			Filter="rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav"

+			UniqueIdentifier="{67DA6AB6-F800-4c08-8B7A-83BB121AAD01}"

+			>

+		</Filter>

+	</Files>

+	<Globals>

+	</Globals>

+</VisualStudioProject>

diff --git a/src/c/auxiliaryFunctions/abs/zabsa.c b/src/c/auxiliaryFunctions/abs/zabsa.c
new file mode 100644
index 00000000..2b73432e
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/zabsa.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 "abs.h"
+
+void	zabsa(doubleComplex *in, int size, double* out) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    out[i] = zabss(in[i]);
+  }
+}
diff --git a/src/c/auxiliaryFunctions/abs/zabss.c b/src/c/auxiliaryFunctions/abs/zabss.c
new file mode 100644
index 00000000..4e7b4dd3
--- /dev/null
+++ b/src/c/auxiliaryFunctions/abs/zabss.c
@@ -0,0 +1,31 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ *
+ *  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 <math.h>
+
+#include "abs.h"
+#include "sqrt.h"
+#include "max.h"
+#include "min.h"
+
+double zabss(doubleComplex in) {
+  double real = dabss(zreals(in));
+  double imag = dabss(zimags(in));
+  double zMax = max(real, imag);
+  double zMin = min(real, imag);
+
+  if(zMin == 0)
+    {
+      return zMax;
+    }
+  return zMax * (dsqrts(1 + (zMin / zMax) * (zMin / zMax)));
+}