Original Version

author: Siddhesh Wani 2015-05-25 14:46:31 +0530
committer: Siddhesh Wani 2015-05-25 14:46:31 +0530
commit: 6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26 (patch)
tree: 1b7bd89fdcfd01715713d8a15db471dc75a96bbf /2.3-1/src/c/elementaryFunctions/atan
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13 files changed, 2515 insertions, 0 deletions
diff --git a/2.3-1/src/c/elementaryFunctions/atan/Makefile.am b/2.3-1/src/c/elementaryFunctions/atan/Makefile.am
new file mode 100644
index 00000000..5c090404
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/Makefile.am
@@ -0,0 +1,67 @@
+##
+##  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
+##
+##
+
+libAtan_la_CFLAGS =	-I $(top_builddir)/src/c/type \
+			-I $(top_builddir)/src/c/elementaryFunctions/includes \
+			-I $(top_builddir)/src/c/auxiliaryFunctions/includes
+
+
+instdir = $(top_builddir)/lib
+
+pkglib_LTLIBRARIES =	libAtan.la
+
+libAtan_la_SOURCES =	$(HEAD) $(SRC)
+
+SRC	=	satans.c \
+		datans.c \
+		catans.c \
+		zatans.c \
+		satana.c \
+		datana.c \
+		catana.c \
+		zatana.c
+
+HEAD	=	../includes/atan.h
+
+####
+# Checking Part
+####
+
+check_INCLUDES	=	-I $(top_builddir)/src/c/elementaryFunctions/includes \
+			-I $(top_builddir)/src/c/type
+
+check_LDADD	=	$(top_builddir)/src/c/type/libDoubleComplex.la \
+			$(top_builddir)/src/c/type/libFloatComplex.la \
+			$(top_builddir)/src/c/operations/addition/libAddition.la \
+			$(top_builddir)/src/fortran/lapack/libscilapack.la \
+			$(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \
+			$(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \
+			$(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \
+			$(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \
+			$(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \
+			$(top_builddir)/src/c/operations/multiplication/libMultiplication.la \
+			@LIBMATH@
+
+check_PROGRAMS	= 	testFloatAtan testDoubleAtan
+
+TESTS		=	testFloatAtan testDoubleAtan
+
+#
+# -*- Arc tangeant Tests -*-
+#
+testFloatAtan_SOURCES = 	testAtan.h testFloatAtan.c
+testFloatAtan_CFLAGS	=	$(check_INCLUDES)
+testFloatAtan_LDADD	=	$(check_LDADD)
+
+testDoubleAtan_SOURCES = 	testAtan.h testDoubleAtan.c
+testDoubleAtan_CFLAGS	=	$(check_INCLUDES)
+testDoubleAtan_LDADD	=	$(check_LDADD)
diff --git a/2.3-1/src/c/elementaryFunctions/atan/Makefile.in b/2.3-1/src/c/elementaryFunctions/atan/Makefile.in
new file mode 100644
index 00000000..abb85ad4
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/Makefile.in
@@ -0,0 +1,803 @@
+# Makefile.in generated by automake 1.11.1 from Makefile.am.
+# @configure_input@
+
+# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
+# 2003, 2004, 2005, 2006, 2007, 2008, 2009  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@
+pkgincludedir = $(includedir)/@PACKAGE@
+pkglibdir = $(libdir)/@PACKAGE@
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+am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd
+install_sh_DATA = $(install_sh) -c -m 644
+install_sh_PROGRAM = $(install_sh) -c
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+INSTALL_HEADER = $(INSTALL_DATA)
+transform = $(program_transform_name)
+NORMAL_INSTALL = :
+PRE_INSTALL = :
+POST_INSTALL = :
+NORMAL_UNINSTALL = :
+PRE_UNINSTALL = :
+POST_UNINSTALL = :
+build_triplet = @build@
+host_triplet = @host@
+check_PROGRAMS = testFloatAtan$(EXEEXT) testDoubleAtan$(EXEEXT)
+TESTS = testFloatAtan$(EXEEXT) testDoubleAtan$(EXEEXT)
+subdir = src/c/elementaryFunctions/atan
+DIST_COMMON = $(srcdir)/Makefile.am $(srcdir)/Makefile.in
+ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
+am__aclocal_m4_deps = $(top_srcdir)/configure.ac
+am__configure_deps = $(am__aclocal_m4_deps) $(CONFIGURE_DEPENDENCIES) \
+	$(ACLOCAL_M4)
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+CONFIG_CLEAN_VPATH_FILES =
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+am__vpath_adj = case $$p in \
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+    *) f=$$p;; \
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+  for p in $$list; do echo "$$p $$p"; done | \
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+am__installdirs = "$(DESTDIR)$(pkglibdir)"
+LTLIBRARIES = $(pkglib_LTLIBRARIES)
+libAtan_la_LIBADD =
+am__objects_1 =
+am__objects_2 = libAtan_la-satans.lo libAtan_la-datans.lo \
+	libAtan_la-catans.lo libAtan_la-zatans.lo libAtan_la-satana.lo \
+	libAtan_la-datana.lo libAtan_la-catana.lo libAtan_la-zatana.lo
+am_libAtan_la_OBJECTS = $(am__objects_1) $(am__objects_2)
+libAtan_la_OBJECTS = $(am_libAtan_la_OBJECTS)
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+	$(LIBTOOLFLAGS) --mode=link $(CCLD) $(libAtan_la_CFLAGS) \
+	$(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
+am_testDoubleAtan_OBJECTS = testDoubleAtan-testDoubleAtan.$(OBJEXT)
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+am__DEPENDENCIES_1 = $(top_builddir)/src/c/type/libDoubleComplex.la \
+	$(top_builddir)/src/c/type/libFloatComplex.la \
+	$(top_builddir)/src/c/operations/addition/libAddition.la \
+	$(top_builddir)/src/fortran/lapack/libscilapack.la \
+	$(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \
+	$(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \
+	$(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \
+	$(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \
+	$(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \
+	$(top_builddir)/src/c/operations/multiplication/libMultiplication.la
+testDoubleAtan_DEPENDENCIES = $(am__DEPENDENCIES_1)
+testDoubleAtan_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+	$(LIBTOOLFLAGS) --mode=link $(CCLD) $(testDoubleAtan_CFLAGS) \
+	$(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
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+testFloatAtan_LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) \
+	$(LIBTOOLFLAGS) --mode=link $(CCLD) $(testFloatAtan_CFLAGS) \
+	$(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@
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+	$(testFloatAtan_SOURCES)
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+top_srcdir = @top_srcdir@
+libAtan_la_CFLAGS = -I $(top_builddir)/src/c/type \
+			-I $(top_builddir)/src/c/elementaryFunctions/includes \
+			-I $(top_builddir)/src/c/auxiliaryFunctions/includes
+
+instdir = $(top_builddir)/lib
+pkglib_LTLIBRARIES = libAtan.la
+libAtan_la_SOURCES = $(HEAD) $(SRC)
+SRC = satans.c \
+		datans.c \
+		catans.c \
+		zatans.c \
+		satana.c \
+		datana.c \
+		catana.c \
+		zatana.c
+
+HEAD = ../includes/atan.h
+
+####
+# Checking Part
+####
+check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \
+			-I $(top_builddir)/src/c/type
+
+check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \
+			$(top_builddir)/src/c/type/libFloatComplex.la \
+			$(top_builddir)/src/c/operations/addition/libAddition.la \
+			$(top_builddir)/src/fortran/lapack/libscilapack.la \
+			$(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \
+			$(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \
+			$(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \
+			$(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \
+			$(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \
+			$(top_builddir)/src/c/operations/multiplication/libMultiplication.la \
+			@LIBMATH@
+
+
+#
+# -*- Arc tangeant Tests -*-
+#
+testFloatAtan_SOURCES = testAtan.h testFloatAtan.c
+testFloatAtan_CFLAGS = $(check_INCLUDES)
+testFloatAtan_LDADD = $(check_LDADD)
+testDoubleAtan_SOURCES = testAtan.h testDoubleAtan.c
+testDoubleAtan_CFLAGS = $(check_INCLUDES)
+testDoubleAtan_LDADD = $(check_LDADD)
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+
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+	@for dep in $?; do \
+	  case '$(am__configure_deps)' in \
+	    *$$dep*) \
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+	        && { if test -f $@; then exit 0; else break; fi; }; \
+	      exit 1;; \
+	  esac; \
+	done; \
+	echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign src/c/elementaryFunctions/atan/Makefile'; \
+	$(am__cd) $(top_srcdir) && \
+	  $(AUTOMAKE) --foreign src/c/elementaryFunctions/atan/Makefile
+.PRECIOUS: Makefile
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+	  *config.status*) \
+	    cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \
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+	  if test -f $$p; then \
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+	}
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+	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 "$${dir}/so_locations"; \
+	done
+libAtan.la: $(libAtan_la_OBJECTS) $(libAtan_la_DEPENDENCIES) 
+	$(libAtan_la_LINK) -rpath $(pkglibdir) $(libAtan_la_OBJECTS) $(libAtan_la_LIBADD) $(LIBS)
+
+clean-checkPROGRAMS:
+	@list='$(check_PROGRAMS)'; test -n "$$list" || exit 0; \
+	echo " rm -f" $$list; \
+	rm -f $$list || exit $$?; \
+	test -n "$(EXEEXT)" || exit 0; \
+	list=`for p in $$list; do echo "$$p"; done | sed 's/$(EXEEXT)$$//'`; \
+	echo " rm -f" $$list; \
+	rm -f $$list
+testDoubleAtan$(EXEEXT): $(testDoubleAtan_OBJECTS) $(testDoubleAtan_DEPENDENCIES) 
+	@rm -f testDoubleAtan$(EXEEXT)
+	$(testDoubleAtan_LINK) $(testDoubleAtan_OBJECTS) $(testDoubleAtan_LDADD) $(LIBS)
+testFloatAtan$(EXEEXT): $(testFloatAtan_OBJECTS) $(testFloatAtan_DEPENDENCIES) 
+	@rm -f testFloatAtan$(EXEEXT)
+	$(testFloatAtan_LINK) $(testFloatAtan_OBJECTS) $(testFloatAtan_LDADD) $(LIBS)
+
+mostlyclean-compile:
+	-rm -f *.$(OBJEXT)
+
+distclean-compile:
+	-rm -f *.tab.c
+
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-catana.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-catans.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-datana.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-datans.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-satana.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-satans.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libAtan_la-zatana.Plo@am__quote@
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+	  test "$$failed" -eq 0; \
+	else :; fi
+
+distdir: $(DISTFILES)
+	@srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
+	topsrcdirstrip=`echo "$(top_srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \
+	list='$(DISTFILES)'; \
+	  dist_files=`for file in $$list; do echo $$file; done | \
+	  sed -e "s|^$$srcdirstrip/||;t" \
+	      -e "s|^$$topsrcdirstrip/|$(top_builddir)/|;t"`; \
+	case $$dist_files in \
+	  */*) $(MKDIR_P) `echo "$$dist_files" | \
+			   sed '/\//!d;s|^|$(distdir)/|;s,/[^/]*$$,,' | \
+			   sort -u` ;; \
+	esac; \
+	for file in $$dist_files; do \
+	  if test -f $$file || test -d $$file; then d=.; else d=$(srcdir); fi; \
+	  if test -d $$d/$$file; then \
+	    dir=`echo "/$$file" | sed -e 's,/[^/]*$$,,'`; \
+	    if test -d "$(distdir)/$$file"; then \
+	      find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \
+	    fi; \
+	    if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \
+	      cp -fpR $(srcdir)/$$file "$(distdir)$$dir" || exit 1; \
+	      find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \
+	    fi; \
+	    cp -fpR $$d/$$file "$(distdir)$$dir" || exit 1; \
+	  else \
+	    test -f "$(distdir)/$$file" \
+	    || cp -p $$d/$$file "$(distdir)/$$file" \
+	    || exit 1; \
+	  fi; \
+	done
+check-am: all-am
+	$(MAKE) $(AM_MAKEFLAGS) $(check_PROGRAMS)
+	$(MAKE) $(AM_MAKEFLAGS) check-TESTS
+check: check-am
+all-am: Makefile $(LTLIBRARIES)
+installdirs:
+	for dir in "$(DESTDIR)$(pkglibdir)"; do \
+	  test -z "$$dir" || $(MKDIR_P) "$$dir"; \
+	done
+install: install-am
+install-exec: install-exec-am
+install-data: install-data-am
+uninstall: uninstall-am
+
+install-am: all-am
+	@$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am
+
+installcheck: installcheck-am
+install-strip:
+	$(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \
+	  install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \
+	  `test -z '$(STRIP)' || \
+	    echo "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'"` install
+mostlyclean-generic:
+
+clean-generic:
+
+distclean-generic:
+	-test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES)
+	-test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES)
+
+maintainer-clean-generic:
+	@echo "This command is intended for maintainers to use"
+	@echo "it deletes files that may require special tools to rebuild."
+clean: clean-am
+
+clean-am: clean-checkPROGRAMS clean-generic clean-libtool \
+	clean-pkglibLTLIBRARIES mostlyclean-am
+
+distclean: distclean-am
+	-rm -rf ./$(DEPDIR)
+	-rm -f Makefile
+distclean-am: clean-am distclean-compile distclean-generic \
+	distclean-tags
+
+dvi: dvi-am
+
+dvi-am:
+
+html: html-am
+
+html-am:
+
+info: info-am
+
+info-am:
+
+install-data-am:
+
+install-dvi: install-dvi-am
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+install-dvi-am:
+
+install-exec-am: install-pkglibLTLIBRARIES
+
+install-html: install-html-am
+
+install-html-am:
+
+install-info: install-info-am
+
+install-info-am:
+
+install-man:
+
+install-pdf: install-pdf-am
+
+install-pdf-am:
+
+install-ps: install-ps-am
+
+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: check-am 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/2.3-1/src/c/elementaryFunctions/atan/catana.c b/2.3-1/src/c/elementaryFunctions/atan/catana.c
new file mode 100644
index 00000000..d6335cd8
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/catana.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - 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 "atan.h"
+
+void catana(floatComplex* x, int size, floatComplex* y) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    y[i] = catans(x[i]);
+  }
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/catans.c b/2.3-1/src/c/elementaryFunctions/atan/catans.c
new file mode 100644
index 00000000..d2081181
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/catans.c
@@ -0,0 +1,249 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - INRIA - Bruno JOFRET
+ *  Copyright (C) Bruno Pincon
+ *
+ *  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
+ *
+ */
+
+/*
+  PURPOSE
+  watan compute the arctangent of a complex number
+  y = yr + i yi = atan(x), x = xr + i xi
+
+  CALLING LIST / PARAMETERS
+  subroutine watan(xr,xi,yr,yi)
+  double precision xr,xi,yr,yi
+
+  xr,xi: real and imaginary parts of the complex number
+  yr,yi: real and imaginary parts of the result
+  yr,yi may have the same memory cases than xr et xi
+
+  COPYRIGHT (C) 2001 Bruno Pincon and Lydia van Dijk
+  Written by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr> so
+  as to get more precision.  Also to fix the
+  behavior at the singular points and at the branch cuts.
+  Polished by Lydia van Dijk
+  <lvandijk@hammersmith-consulting.com>
+
+  CHANGES : - (Bruno on 2001 May 22) for ysptrk use a
+  minimax polynome to enlarge the special
+  evaluation zone |s| < SLIM. Also rename
+  this function as lnp1m1.
+  - (Bruno on 2001 June 7) better handling
+  of spurious over/underflow ; remove
+  the call to pythag ; better accuracy
+  in the real part for z near +-i
+
+  EXTERNALS FUNCTIONS
+  dlamch
+  lnp1m1  (at the end of this file)
+
+  ALGORITHM : noting z = a + i*b, we have:
+  Z = yr + yi*b = arctan(z) = (i/2) * log( (i+z)/(i-z) )
+
+  This function has two branch points at +i and -i and the
+  chosen  branch cuts are the two half-straight lines
+  D1 = [i, i*oo) and D2 = (-i*oo, i].  The function is then
+  analytic in C \ (D1 U D2)).
+
+  From the definition it follows that:
+
+  yr = 0.5 Arg ( (i+z)/(i-z) )                   (1)
+  yi = 0.5 log (|(i+z)/(i-z)|)                   (2)
+
+  so lim (z -> +- i) yr = undefined (and Nan is logical)
+  lim (z -> +i)   yi = +oo
+  lim (z -> -i)   yi = -oo
+
+  The real part of arctan(z) is discontinuous across D1 and D2
+  and we impose the following definitions:
+  if imag(z) > 1 then
+  Arg(arctan(z)) =  pi/2 (=lim real(z) -> 0+)
+  if imag(z) < 1 then
+  Arg(arctan(z)) = -pi/2 (=lim real(z) -> 0-)
+
+
+  Basic evaluation: if we write (i+z)/(i-z) using
+  z = a + i*b, we get:
+
+  i+z    1-(a**2+b**2) + i*(2a)
+  --- =  ----------------------
+  i-z       a**2 + (1-b)**2
+
+  then, with r2 = |z|^2 = a**2 + b**2 :
+
+  yr = 0.5 * Arg(1-r2 + (2*a)*i)
+  = 0.5 * atan2(2a, (1-r2))                      (3)
+
+  This formula is changed when r2 > RMAX (max pos float)
+  and also when |1-r2| and |a| are near 0 (see comments
+  in the code).
+
+  After some math:
+
+  yi = 0.25 * log( (a**2 + (b + 1)**2) /
+  (a**2 + (b - 1)**2) )            (4)
+
+  Evaluation for "big" |z|
+  ------------------------
+
+  If |z| is "big", the direct evaluation of yi by (4) may
+  suffer of innaccuracies and of spurious overflow.  Noting
+  that  s = 2 b / (1 + |z|**2), we have:
+
+  yi = 0.25 log ( (1 + s)/(1 - s) )                 (5)
+
+  3        5
+  yi = 0.25*( 2 * ( s + 1/3 s  + 1/5 s  + ... ))
+
+  yi = 0.25 * lnp1m1(s)    if  |s| < SLIM
+
+  So if |s| is less than SLIM we switch to a special
+  evaluation done by the function lnp1m1. The
+  threshold value SLIM is choosen by experiment
+  (with the Pari-gp software). For |s|
+  "very small" we used a truncated taylor dvp,
+  else a minimax polynome (see lnp1m1).
+
+  To avoid spurious overflows (which result in spurious
+  underflows for s) in computing s with s= 2 b / (1 + |z|**2)
+  when |z|^2 > RMAX (max positive float) we use :
+
+  s = 2d0 / ( (a/b)*a + b )
+
+  but if |b| = Inf  this formula leads to NaN when
+  |a| is also Inf. As we have :
+
+  |s| <= 2 / |b|
+
+  we impose simply : s = 0  when |b| = Inf
+
+  Evaluation for z very near to i or -i:
+  --------------------------------------
+  Floating point numbers of the form a+i or a-i with 0 <
+  a**2 < tiny (approximately 1d-308) may lead to underflow
+  (i.e., a**2 = 0) and the logarithm will break formula (4).
+  So we switch to the following formulas:
+
+  If b = +-1 and |a| < sqrt(tiny) approximately 1d-150 (say)
+  then (by using that a**2 + 4 = 4 in machine for such a):
+
+  yi = 0.5 * log( 2/|a| )   for b=1
+
+  yi = 0.5 * log( |a|/2 )   for b=-1
+
+  finally: yi = 0.5 * sign(b) * log( 2/|a| )
+  yi = 0.5 * sign(b) * (log(2) - log(|a|)) (6)
+
+  The last trick is to avoid overflow for |a|=tiny!  In fact
+  this formula may be used until a**2 + 4 = 4 so that the
+  threshold value may be larger.
+*/
+
+#include <math.h>
+#include "atan.h"
+#include "abs.h"
+#include "lnp1m1.h"
+#include "lapack.h"
+
+#define _sign(a, b) b >=0 ? a : -a
+
+floatComplex		catans(floatComplex z) {
+  static float sSlim	= 0.2f;
+  /*    .
+  **   / \	WARNING : this algorithm was based on double precision
+  **  / ! \	using float truncate the value to 0.
+  ** `----'
+  **
+  ** static float sAlim	= 1E-150f;
+  */
+  static float sAlim	= 0.0f;
+  static float sTol	= 0.3f;
+  static float sLn2	= 0.6931471805599453094172321f;
+
+  float RMax				= (float) getOverflowThreshold();
+  float Pi_2				= 2.0f * satans(1);
+
+  float _inReal = creals(z);
+  float _inImg = cimags(z);
+  float _outReal = 0;
+  float _outImg = 0;
+
+  /* Temporary variables */
+  float R2 = 0;
+  float S = 0;
+
+
+  if(_inImg == 0)
+    {
+      _outReal	= satans(_inReal);
+      _outImg	= 0;
+    }
+  else
+    {
+      R2 = _inReal * _inReal + _inImg * _inImg; /* Oo */
+      if(R2 > RMax)
+	{
+	  if( dabss(_inImg) > RMax)
+	    S = 0;
+	  else
+	    S = 1.0f / (((0.5f * _inReal) / _inImg) * _inReal + 0.5f * _inImg );
+	}
+      else
+	S = (2 * _inImg) / (1+R2);
+
+      if(dabss(S) < sSlim)
+	{
+	  /*
+	    s is small: |s| < SLIM  <=>  |z| outside the following disks:
+	    D+ = D(center = [0;  1/slim], radius = sqrt(1/slim**2 - 1)) if b > 0
+	    D- = D(center = [0; -1/slim], radius = sqrt(1/slim**2 - 1)) if b < 0
+	    use the special evaluation of log((1+s)/(1-s)) (5)
+	  */
+	  _outImg = slnp1m1s(S) * 0.25f;
+	}
+      else
+	{
+	  if(sabss(S) == 1 && sabss(_inReal) <= sAlim)
+	    {
+	      /* |s| >= SLIM  => |z| is inside D+ or D- */
+	      _outImg = _sign(0.5f,_inImg) * ( sLn2 - logf(sabss(_inReal)));
+	    }
+	  else
+	    {
+	      _outImg = 0.25f * logf((powf(_inReal,2) + powf((_inImg + 1.0f),2)) / (powf(_inReal,2) + powf((_inImg - 1.0f),2)));
+	    }
+	}
+      if(_inReal == 0)
+	{/* z is purely imaginary */
+	  if( dabss(_inImg) > 1)
+	    {/* got sign(b) * pi/2 */
+	      _outReal = _sign(1, _inImg) * Pi_2;
+	    }
+	  else if( dabss(_inImg) == 1)
+	    {/* got a Nan with 0/0 */
+	      _outReal = (_inReal - _inReal) / (_inReal - _inReal); /* Oo */
+	    }
+	  else
+	    _outReal = 0;
+	}
+      else if(R2 > RMax)
+	{/* _outImg is necessarily very near sign(a)* pi/2 */
+	  _outReal = _sign(1, _inReal) * Pi_2;
+	}
+      else if(sabss(1 - R2) + sabss(_inReal) <= sTol)
+	{/* |b| is very near 1 (and a is near 0)  some cancellation occur in the (next) generic formula */
+	  _outReal = 0.5f * atan2f(2.0f * _inReal, (1.0f - _inImg) * (1.0f + _inImg) - powf(_inReal,2.0f));
+	}
+      else
+	_outReal = 0.5f * atan2f(2.0f * _inReal, 1.0f - R2);
+    }
+
+  return FloatComplex(_outReal, _outImg);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/datana.c b/2.3-1/src/c/elementaryFunctions/atan/datana.c
new file mode 100644
index 00000000..9b1d9c94
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/datana.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - 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 "atan.h"
+
+void datana(double* x, int size, double* y) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    y[i] = datans(x[i]);
+  }
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/datans.c b/2.3-1/src/c/elementaryFunctions/atan/datans.c
new file mode 100644
index 00000000..a16df82d
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/datans.c
@@ -0,0 +1,18 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - 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 "atan.h"
+
+double	       datans(double x) {
+  return (atan(x));
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/satana.c b/2.3-1/src/c/elementaryFunctions/atan/satana.c
new file mode 100644
index 00000000..639c6f58
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/satana.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - 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 "atan.h"
+
+void satana(float* x, int size, float* y) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    y[i] = satans(x[i]);
+  }
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/satans.c b/2.3-1/src/c/elementaryFunctions/atan/satans.c
new file mode 100644
index 00000000..5c7badee
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/satans.c
@@ -0,0 +1,18 @@
+/*
+ *  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 <math.h>
+#include "atan.h"
+
+float		satans(float x) {
+  return (atanf(x));
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/testAtan.h b/2.3-1/src/c/elementaryFunctions/atan/testAtan.h
new file mode 100644
index 00000000..86ba100a
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/testAtan.h
@@ -0,0 +1,40 @@
+/*
+ *  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 _TESTATAN_H_
+#define _TESTATAN_H_
+
+#include <stdio.h>
+#include <assert.h>
+#include <math.h>
+#include "atan.h"
+#include "constant.h"
+
+void satansTest(void);
+
+void satanaTest(void);
+
+void catansTest(void);
+
+void catanaTest(void);
+
+void datansTest(void);
+
+void datanaTest(void);
+
+void zatansTest(void);
+
+void zatanaTest(void);
+
+int testAtan(void);
+
+#endif /* !_TESTATAN_H_ */
diff --git a/2.3-1/src/c/elementaryFunctions/atan/testDoubleAtan.c b/2.3-1/src/c/elementaryFunctions/atan/testDoubleAtan.c
new file mode 100644
index 00000000..85ef1087
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/testDoubleAtan.c
@@ -0,0 +1,496 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2008-2008 - 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 "testAtan.h"
+
+#define SOURCE {0.2271646957046519754719,0.0509554588447201708967,1.85687282969809008826,\
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+
+#define RESULT {0.2233738732437201557346,0.0509114261721980362885,1.0767942567911201745545,\
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+#define ZSOURCER {-1.1795163216180464260674,-0.6957584169324845246862,0.8259988996926452831104,\
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+#define ZSOURCEI {-0.9552428551144188650923,1.2961834852294731312838,1.1017640646828426032044,\
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+-1.0836206204774869732432,-0.2988022043772741165313,0.0786451729619408040906,\
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+-0.592126107443248783646,1.4081926997371712051432,0.3085101089696197229628,\
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+-1.0118098370918304773625,0.6188273552553577028235,0.3590555220619524590120,\
+-1.1731665361057745933238,-0.6396350210213861409159,-0.1754282371769660675564,\
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+-0.3726016912019385896038,0.9512465231833235890235,1.9770278000388763484096,\
+0.7942630050207910574755,0.2042467951135929216111,-0.4515030272861193516576,\
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+-0.0603831392611861861308,-0.0118358773438195733624,1.060362899843382056275,\
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+0.1529016818054778348301,0.5016653096177513537768,0.3713737327704177415555,\
+1.519060224335068820523,-0.1807259441689535728326,1.8139275887503047979266,\
+-0.3257752015232963649360,2.1486960576842424330835,-0.1051361455427324009815,\
+-0.2626851203928968758738,1.0103646188196337973864,0.2148110767207350724206,\
+0.4407052420763278299809,-0.5122126723342420584473,1.2412118916908576604641,\
+0.9766933236701691445347,2.039099736880281454887,-0.2559919392094065493382,\
+0.5420836083333696597819,0.0791245311903027159772,-0.0955893777744002970387,\
+-1.3712286813648302263857,2.1069701518694308184365,-1.189922581642507859456,\
+-1.1599757893702906663691,-0.5696357256121767909107,-1.3015572133370920671069,\
+-0.5449309642239419382292,-0.5067789559895423678881,0.6346443332238025369918,\
+-0.6108333161328157734360,1.8419857567724760016858}
+
+#define ZRESULTR {-1.0378404956328399766363,-1.133735695651125086059,1.0339197498326544444325,\
+0.5531122148702418694910,-1.040340001858497842591,1.0085860369894361632248,\
+1.1420720538989748149561,1.1056797792052726059353,0.5117972485274214777817,\
+0.9070677525728206846978,1.0572990288526666891045,-1.0360972400059726972188,\
+-1.1383229838393340571656,-0.6648420928164470167232,-0.6807443500487321275116,\
+-0.8031597943350016199915,0.883947625424225447155,-1.269412549612109586405,\
+-1.4161063395011512788813,-1.2859233456553140761969,-0.5672668801729759957553,\
+0.7745318044293433290548,0.6947007749642374330179,0.4991201053193883852011,\
+0.6140034872209438887580,0.096413007169791717366,0.8007709883951089624432,\
+0.8792563999787510464756,1.0343346624696823088385,0.0302467913897976371784,\
+-1.1472175673143576446478,0.3369832737151475243742,0.9907410521400105141154,\
+1.0796900049026223467052,0.5594674889946016360653,-0.1560251223940891662778,\
+-1.1705823062338804874116,0.4618385738778090776613,-1.3324797047631469215645,\
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+-0.6761086369817806973614,-1.0896592333865446899921,-0.6710881467286168300390,\
+-0.5798029666713722107829,-0.6136654494083557676021,1.1617507290156328103592,\
+1.27276401512989068010,-0.8120428578165023170143,-1.1072391191957589029471,\
+-0.2233715590492064695383,-0.1434422451344934956730,1.3153998337128238738103,\
+-1.0526498309129606045786,0.0553606627561369843415,0.7291584643384485531215,\
+-0.8211933984789114848724,-1.1593353121271579020402,1.3152057671476293787549,\
+-1.172801856026281397405,1.4071868225661712248353,-1.237749706635684621148,\
+1.1803373520872921798031,1.5151506180989924299496,0.7531983030718831795269,\
+-0.9762856051169326310202,-1.1612557605568909480098,1.4932305416569968681273,\
+-0.8614722664300586973951,0.8618528735715539346174,1.1016443473924788509777,\
+0.9393199732131509716027,1.0919198431908447854966,-0.9052324038739091305317,\
+-0.9298866314213817263479,0.7633780893052066751636,-0.7143116680469970836143,\
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+0.3698862224535668929981,-1.0222624393360630890015,0.6231994143282580944643,\
+0.9950036636352803665062,-0.2983226702432650867536,0.0176907017367243651895,\
+1.2324636476429444709169,0.6361627801840686879942,1.1459319881374090410731,\
+-0.7953680408910630550423,-1.4154164061425698051266,-0.0876282946873059020998,\
+-1.5216557556403844664317,-0.8071142269969606708457,0.0815747053150205070349,\
+1.0712377179167194007903,0.8666202597884599123645,-0.8619222017137594393787,\
+-0.9481006227828882026998,0.1552413858057176687666,-0.7506128146087278629750,\
+-0.3836715577045819447477,-0.5239185633043924594787,-0.7436026090030812829568,\
+1.0616275053374448766874,1.4897517325664235698923,0.4367517077925673341099,\
+1.3246660695183969380651,-0.9109135023203799308433,0.5553722323129884896886,\
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+-1.0552170344242444155469,0.9396260470070250114816,-0.9303925570132891564867,\
+0.2783356640126000702828,1.1824291811858682610392,0.8685688319389791578473,\
+1.1519647668153425446036,0.4220715686665841848146,-1.1065714015957384130928,\
+-0.861924596730684333679,0.9073537157079681891858,-0.6218839294281949259258,\
+-1.120015581786375724604,-0.9733844585621500566930,0.595029230494463101664,\
+1.175230190501943328130,0.9508205283471821145369,-0.8508278968495206484590,\
+0.1541098930310453307690,-0.8824217885955716322854,0.8902851444120675195038,\
+-0.6639557596979325237996,0.1084368331219868891724,-1.2396941127079998956617,\
+0.3226031789257856052799,-0.8843151570857661347702,0.5707126023897258759732,\
+0.3012759106579737111709,-0.8367027089033168829602,-1.4909615617958020816758,\
+-0.7009193727197650103378,-0.5098573775891588333309,0.6979392344955810401075,\
+-0.11360619748546052499,-0.9509385591695135309109,-1.253860295053432105661,\
+0.650797750208578995590,0.1772712514866976729611,-0.9640945137047890467485,\
+-0.5689005122453275609118,-0.1250511412013994849701,-0.4037636514907702589561,\
+-0.7926166698304296653887,-0.2823466357029139617296,-1.056824688357730357424,\
+0.9537129762345133432433,-0.5025361511250948653995,0.4038372312258701746224,\
+-1.356748408455357823854,-0.1106205947085566049237,-1.3416335800212069173654,\
+1.1885949854017261451133,-1.3422443000337007656952,0.6375731708639520434190,\
+0.3760968575323995755078,-0.9884746207385446403748,0.7854115858087797885645,\
+0.999043445647114114472,1.033179400413832382810,1.1526308570666976560659,\
+0.6867562899067288784138,-1.4009010309735028254607,-0.6940419760103245794269,\
+0.5354681750957488439724,0.9063410461496741454823,0.2034358249367814175379,\
+1.3295608151948998809644,1.5281379412739910517161,-1.0737486644518823286631,\
+1.0727905584835071284289,-0.6577524210666327864061,-1.1372820311372766610702,\
+-0.1467884541731124814490,-0.3758609793464613990643,-0.9135278670013463608868,\
+-0.5879353157795642603745,1.3892627420568484097885}
+
+#define ZRESULTI {-0.3299360864553753103223,0.5773236414575498853807,0.4991095547887292593892,\
+1.0331094146354482532502,-0.3176151990967214233663,-0.0427672547155572568833,\
+-0.5408736725419536206516,-0.1380553162115908116814,-0.1495803862615101287314,\
+0.2075977110248564960759,0.1483156441793008761820,0.1814264210630067153396,\
+-0.2481388687151736549552,-0.1914494023025192226406,0.0475995307877313186817,\
+0.0486725512662827888843,0.0793454719839349342791,0.8749639413571212998022,\
+-0.6896294045728997845757,-0.5086525074514365307721,0.2944098793875352670923,\
+-0.3917506744074427116331,-0.1846852570799382420308,-0.3894217746197643492678,\
+-0.5646100518854718641748,0.4746040014516990646065,-0.3015127179783077537856,\
+-0.0002750414994330601867,-0.4738712470203229054633,0.6504861039469930217294,\
+0.0770111005352082517161,-0.1450021418767060144006,-0.2504460533174687753011,\
+-0.1242925201299330817406,-0.3767991401181884358884,-0.4132076872602681860691,\
+-0.3870747570445600693745,-0.1287551829606753961421,-0.5591653729797143590474,\
+-0.3808547758746415601294,0.0560087196606005033317,0.0701856173788610038233,\
+-0.3788485405347551959743,0.0044895072328474238538,-0.4792093730891275327188,\
+-0.0422815385429984591514,0.0061101098120875880007,1.3269258764406561823535,\
+0.50216582477378490790,-0.3441118926473294425961,0.2204807457606408893636,\
+0.0790893257779779063066,-0.1890021515648551142519,0.518665277550073300361,\
+-0.8006086655024508003109,1.0073379811293934338323,0.2137094925844510162616,\
+0.5375421998418649094376,-0.2320202834395212743157,0.3256990051992574852768,\
+-0.5075425697148114867474,0.4587488944259289214145,0.8635283954295314146066,\
+-0.1297869621390935479521,-0.852694676585578515,0.3180243625197139989424,\
+-0.1362504231180562963566,0.1356147426873018091431,-0.5110906304654022624945,\
+0.0364746671485365880905,0.3518205609306652159596,-0.1882338930265980980749,\
+-0.1641509348055795458610,-0.1003678389496054923491,0.3533058939584889368568,\
+0.1400753442460135889114,-0.3190262039403771177071,0.1130098866744752156288,\
+0.4874882612585151875351,0.0821093566409674818773,-0.4196102828902398829136,\
+-0.451423643355465198379,-0.2794721520836026540380,0.0388676985912680683644,\
+0.5261724556813406339373,0.3369140501375452179111,0.5021943268293638240607,\
+-0.9466008502228719923011,0.0813161752282447886087,-0.3647911127697049948893,\
+0.9402058236775613364600,0.2373145443406108057172,0.1741667096823807936445,\
+0.6110175965051998225874,-0.3276211596627106037438,0.1205074840878167241609,\
+-0.3776545253138779423274,-0.8929722827626465075923,0.549792722962075375293,\
+0.0271042479895461374539,-0.47522513055127707515,0.0593823102898174345898,\
+-0.2798313897020670570903,0.3034375004902351569136,0.1544875118519504486603,\
+-0.3064946913611272250044,-0.1233973071314871799986,-0.9748519593919268144688,\
+-0.2695469774323944189831,-0.2398595153162375315237,-0.3849351067537384318840,\
+-0.4832629774775746844817,0.2120502817724358168849,-0.5500280838647416681297,\
+-0.6567358702149050930785,-0.0439088406752093027285,0.3215272662057582220285,\
+0.252983359599071477852,0.3285524490410307585364,-0.7260295113781071174586,\
+0.5814783672028649430530,0.2280478984411803411447,0.1921683660815579341996,\
+0.2598222279442688464890,-1.2261944929533434844870,0.6354501028006451779362,\
+-0.6350507146232319266588,0.5241840999802419576170,0.1326112979841672367964,\
+0.5331634907909190701503,-0.1060363792025432461141,-0.1405159325068739140097,\
+-1.2650277702054697481771,0.2669908129991411804838,0.2495345813255305800205,\
+-0.3316627619047222141901,-0.2282918540535401608071,-0.1217152595768435791035,\
+-0.4921799931736892674827,0.4709770755615852455556,-0.5858164911014823728053,\
+0.2035859669317575948444,0.2043112301670926833630,-0.6450693837623580062512,\
+-0.0755935103401305513726,-0.5356174761081086144188,-0.3471562389208797116957,\
+0.2328317315621121486036,0.7651997819792383248583,-0.3199579280419243554334,\
+-0.3582454315092570285017,0.7669246314230472316709,0.5441811107763497856737,\
+0.6504831149102675569296,0.1580962824886572026806,-0.2872668874651375658935,\
+0.7084196447067554469612,-0.2398740644903666341392,-0.0138893916104706732079,\
+-0.0382724601233607325534,-0.0114683647521359316501,1.042906817386681339599,\
+0.0689854613036876146426,0.1910230634709511876590,-0.3704134917614289590482,\
+0.1911216797569713354843,0.2522464542416475996589,-0.4451672855349098623101,\
+0.0515134584128001532521,0.4287903998263715155126,0.3315338614185490695441,\
+0.7124742713592439047332,-0.1805296499983318203597,0.5024343285394804459187,\
+-0.0459393453273769861167,0.3351247751616924785978,-0.0681623033986126780626,\
+-0.2332477835758634543417,0.4789761892657505848447,0.1091019217623192538724,\
+0.1355147604481500289708,-0.1428984493591255733325,0.3037123307940571281804,\
+1.5115293287912119346572,0.4692494475562393740908,-0.154956179496453544386,\
+0.4557841446769143045614,0.0301394028826129541099,-0.0919789120268482279785,\
+-0.8385856266070932374390,0.5121474514176801440257,-0.5562655937076338430458,\
+-0.4610543161770726539039,-0.4105611124291430047428,-0.5820664911774818817136,\
+-0.5994113052598605273502,-0.4878070905668511203501,0.2712394281598410339384,\
+-0.5014387951037901913764,0.5397742494143892288960}
+
+
+
+void datansTest() {
+ 	double in[]= SOURCE;
+	double res[]= RESULT;
+	double out;
+	int i=0;
+
+	for (i=0;i<200;i++){
+		out=datans(in[i]);
+		assert( ( (fabs(out-res[i])) / (fabs(out)) ) <3e-16);
+	}
+}
+
+void zatansTest() {
+	double inR[]=ZSOURCER;
+	double inI[]=ZSOURCEI;
+	double resR[]=ZRESULTR;
+	double resI[]=ZRESULTI;
+	doubleComplex in, out;
+	int i=0;
+
+	for (i=0;i<200;i++){
+		in=DoubleComplex(inR[i],inI[i]);
+		out=zatans(in);
+		assert( ( (fabs(zreals(out)-resR[i])) / (fabs(zreals(out))) ) <3e-15);
+		assert( ( (fabs(zimags(out)-resI[i])) / (fabs(zimags(out))) ) <3e-15);	
+	}
+}
+
+void datanaTest(void) {
+ 	double in[]= SOURCE;
+	double res[]= RESULT;
+	double out[200];
+	int i=0;
+	
+	datana(in,200,out);
+	for (i=0;i<200;i++){
+		assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <3e-16);
+	}
+}
+
+void zatanaTest(void) {
+	double inR[]=ZSOURCER;
+	double inI[]=ZSOURCEI;
+	double resR[]=ZRESULTR;
+	double resI[]=ZRESULTI;
+	doubleComplex in[200], out[200];
+	int i=0;
+
+	for (i=0;i<200;i++){
+		in[i]=DoubleComplex(inR[i],inI[i]);
+	}
+	zatana(in,200,out);
+	for (i=0;i<200;i++){
+		assert( ( (fabs(zreals(out[i])-resR[i])) / (fabs(zreals(out[i]))) ) <3e-15);
+		assert( ( (fabs(zimags(out[i])-resI[i])) / (fabs(zimags(out[i]))) ) <3e-15);	
+	}	
+}
+
+int testAtan() {
+  printf("\n>>>> Double Arc Tangeant Tests\n");
+  datansTest();
+  zatansTest();
+  datanaTest();
+  zatanaTest();
+
+  return 0;
+}
+
+int main() {
+  assert(testAtan() == 0);
+  return 0;
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/testFloatAtan.c b/2.3-1/src/c/elementaryFunctions/atan/testFloatAtan.c
new file mode 100644
index 00000000..a740b53c
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/testFloatAtan.c
@@ -0,0 +1,502 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2008-2008 - 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 "testAtan.h"
+
+
+#define SOURCE {0.2271646957046519754719f,0.0509554588447201708967f,1.85687282969809008826f,\
+-0.0600149264751901750925f,0.1154209251583080408921f,0.3931023811137128731730f,\
+-0.3192353063868129114944f,-0.1509983292012369027191f,-0.3971164405532471297633f,\
+-0.4879179365092389808467f,0.8039704485327389127391f,-1.6086183006520318183874f,\
+-1.4550051558571557297483f,-2.0613539298303464875062f,2.3614638061462338569640f,\
+-1.1480101088176024592968f,-0.2658609898928261938700f,1.5427739450302764279144f,\
+0.7423335722389889923534f,0.3296187860375025535653f,0.8154893385384427428875f,\
+-0.7055736212996815970300f,0.2819847871866195676560f,0.3955156539663013948172f,\
+-1.0216483261612141486552f,-0.9217285194529017955389f,0.1388701122197689430404f,\
+0.2561008611862776729318f,0.9488840790776944533746f,-0.6033504831579518112861f,\
+-1.255847241084065313288f,-1.5093582375924872174267f,-0.2071228671170260715595f,\
+-0.3992159361232490155658f,1.1415777038585108726920f,1.2096296402394912661293f,\
+1.2000346264198469281581f,0.7648344037454491983752f,0.5126417298496636076877f,\
+-0.6005237850264322219118f,-2.2808601123468448257370f,-1.0478316411512684780405f,\
+0.3987387706615069249416f,-0.7901557685645255180162f,0.9472076517346639246142f,\
+1.2552561019596721880731f,0.4826393798173508331573f,-1.9230607741483070061150f,\
+0.4005546162223627693066f,0.1739168390171661471300f,-0.0825727057882147952306f,\
+0.8203738818332056981220f,0.9228038015421474726807f,0.4570111559683089907935f,\
+0.9219829463190309937204f,1.604104528474896707024f,-0.7201236539398426783620f,\
+0.6869793119903724321063f,-1.3399970213280150144186f,0.6385085849830633986102f,\
+-2.1392676796592846599765f,0.3031216472852934495918f,1.4731483222685206602165f,\
+-0.6666106701273177836953f,2.5253251451367195735f,-0.3387226520606179125394f,\
+0.1099263677503663910739f,0.2055796316301525261672f,0.4180157426427644207223f,\
+-0.5676554981767482077615f,0.1457986457557736703627f,-1.887021345850510067876f,\
+-2.0255226332731517402408f,-1.5021973207858168031237f,-0.1565213082415607970255f,\
+1.792895025421787247311f,0.9902819037203779428680f,-1.3877868870664777922741f,\
+-1.9114516712610110094062f,-0.1241624780676525430234f,-0.1512289550370426727266f,\
+1.0440663453119916059819f,0.8275748256509259936919f,0.9453274386638104154201f,\
+0.8371330563424048687438f,0.7021707191099652023425f,-1.06501992349112173386f,\
+0.0584382761085656052269f,0.3908208204693481846448f,0.1507745763925768811564f,\
+1.0041017891872929812536f,-1.2313120848428102949157f,0.3394895696418271380246f,\
+-0.0827142520512850892844f,0.6446222176264210235175f,-1.4935026770981445487507f,\
+-0.8052775249062644746800f,-0.5748653112322126279565f,0.9754979932482783500092f,\
+-2.2884524191498907264020f,2.022987266935787342703f,0.1637454282369502356342f,\
+0.5475744092801727580522f,-0.8932610448161549809853f,-1.2797351399265011195894f,\
+0.1118201613432585478369f,-0.9620980829388734445473f,0.3643849907609559291011f,\
+-0.6874188098904436827752f,-1.217541476664303568000f,-0.5294220756831705676504f,\
+-0.5958966870065123266897f,0.1130069370904074471662f,1.3982224083465000230575f,\
+-1.0698899503771839292199f,-0.4886124217435617311800f,-1.3658513358172643670230f,\
+0.7879963184644042106797f,-1.4375620975102927356915f,-0.4139225629147579854639f,\
+0.4724629049642866118752f,1.3786020791121860185058f,-0.1818007311019581573319f,\
+-0.1220915022718044445904f,-2.1432379005797042026416f,-0.8715288727031362814301f,\
+1.7328275421264391908949f,0.0746395063981880602100f,0.9478227559099661192477f,\
+-0.6746643568348875685814f,-1.12189978973121218253f,0.7712825781700975991129f,\
+0.7878967433781322027286f,-0.114954127571938721775f,-0.8797100720757337066757f,\
+0.3945983137523260686486f,-0.1335061206135170208675f,-0.8812942795785859706470f,\
+0.9678256351883146590964f,-1.2184863124466103201371f,0.2811177412486541848935f,\
+0.9039980069833579712224f,-0.8586130195545335075380f,-0.9119525776637865677188f,\
+0.7834023749729661645347f,-1.8588322045751330957586f,0.9413946838303350883592f,\
+-0.6013167449649100548825f,0.7116576086154465796696f,0.1856739618227061516809f,\
+-2.4025809662081938355982f,-1.1900189182655975805858f,0.4811625406314723463197f,\
+0.2175387195999395339996f,-0.0380853618830928608574f,-0.6838145482543566133771f,\
+-1.5179336348870946515888f,-1.718734246002084020688f,-0.5464611700109887060250f,\
+0.7723526959000743818962f,0.3006795138383335785903f,1.4291868716265472283311f,\
+-0.0677166634975557846232f,0.0573956162401944233742f,0.1830487012206095109867f,\
+0.6989722492840018119864f,0.1910038834963114218191f,0.2306826823577726726100f,\
+-0.2565102919971545825106f,-0.3420573662934773273570f,-0.0978166804483409507709f,\
+0.1422536753322360680851f,0.5435939242933658377410f,-0.3468100829076145585894f,\
+0.4660640367220392210612f,0.8993729143853705920719f,0.7600191222869452367661f,\
+0.8968829064436780740266f,0.5805771807617583490924f,-0.2307843851109470378891f,\
+0.5165770205506754475522f,0.8824788500189956197417f,-0.7969387348104061130627f,\
+-1.8168722946703086407183f,1.5190242407155258863583f,-0.8149773729875190442229f,\
+2.4028228775031306163612f,0.4982657796195523181026f,0.2226740315197290043248f,\
+0.1768897379163425209736f,0.3603060382424789764855f,0.3218716686921767045071f,\
+-1.192570046506437719813f,-0.1122386313819233177869f,-2.0287975179488202392974f,\
+0.100288454133301133120f,-0.9179783877737051067669f,-1.1999331406575297620520f,\
+0.7483478159755958536437f,2.2060613717090746810356f}
+
+#define RESULT {0.2233738732437201557346f,0.0509114261721980362885f,1.0767942567911201745545f,\
+-0.0599430280405672463728f,0.1149124379797051148655f,0.3745460477695387035979f,\
+-0.3090091280795300709983f,-0.1498661654051850200542f,-0.3780180809438991595961f,\
+-0.4539353243495501954996f,0.6771572627749745665326f,-1.0146085369409014731445f,\
+-0.9686564923933993487282f,-1.1191250002845629651915f,1.1702255762215818535310f,\
+-0.8541951038511210736459f,-0.2598500531232013632810f,0.9956994243583069392756f,\
+0.6385765127412353914238f,0.3184037447477280347030f,0.6841145592833487443230f,\
+-0.6144568631857774132499f,0.2748482455938721091826f,0.3766345938432117956829f,\
+-0.7961060093123013547967f,-0.7446909349913972686608f,0.1379876022907993438071f,\
+0.2507123565043022361820f,0.759175872898178005777f,-0.5428794496736766284073f,\
+-0.89833074078511021554f,-0.9856607896834306270506f,-0.2042349952101077392719f,\
+-0.3798302772852411579585f,0.8514111742492602719068f,0.8799860018302214648145f,\
+0.8760722415122048634117f,0.6529277236314812160600f,0.4737097703113398172725f,\
+-0.5408045473230975730417f,-1.1576046419742331838876f,-0.8087511308495316519895f,\
+0.3794186378049814734048f,-0.6687094713589172290114f,0.7582929808049961861727f,\
+0.8981012978260718426782f,0.4496629050128420623800f,-1.0912735975391061327144f,\
+0.3809844030879972476278f,0.1721944986308187042212f,-0.0823858026410947269502f,\
+0.6870411688329144395126f,0.7452719880215435965809f,0.4286690862084140407617f,\
+0.7448284765591709488675f,1.0133478453990099055204f,-0.6241044852011972121630f,\
+0.6019336895450897451099f,-0.9296864924479115721567f,0.5682544332615881987891f,\
+-1.1335263715873262757583f,0.2943182248013878621329f,0.9744281865108882501048f,\
+-0.5879638357107155322012f,1.1937528186152712716961f,-0.3265930739728566956082f,\
+0.1094867742408287547562f,0.2027547884149371593132f,0.3959400774109990694960f,\
+-0.5162971747333449101802f,0.1447785328438968288634f,-1.0834879385306221966090f,\
+-1.112201615701992940544f,-0.98346913687842862917f,-0.1552615733221418270471f,\
+1.062017052786182524926f,0.7805154284284491206236f,-0.9463968404701921244282f,\
+-1.088790816976063835497f,-0.1235302727421704604982f,-0.1500916423979053448967f,\
+0.8069530021779800499360f,0.6913301738780865957068f,0.7573010048408638228423f,\
+0.6969765492354944580455f,0.6121813376326975530972f,-0.8168741064761906311986f,\
+0.0583718892203711620104f,0.3725683317450820819516f,0.1496473933205103579169f,\
+0.7874448575733706823243f,-0.8886955789071054878647f,0.3272808967598674345645f,\
+-0.0825263887088810432768f,0.5725854110105892402771f,-0.980788536566781998793f,\
+-0.6779506710306395511623f,-0.5217330517396027156352f,0.772995847351621967469f,\
+-1.1588253401537096376472f,1.1117042516684423337f,0.1623050519698593929796f,\
+0.5009790459791051420169f,-0.7290794216990050813365f,-0.9074929345625200038938f,\
+0.111357569834535111153f,-0.7660835307058299070704f,0.349432040770661034301f,\
+-0.6022322122997969540137f,-0.883185569845575946246f,-0.4869072854862174781765f,\
+-0.5373968957759416298359f,0.1125295355475867259409f,0.9499457978350420717106f,\
+-0.8191503966966299232766f,-0.4544961153792455021971f,-0.9388212744104845741688f,\
+0.667378646873721059762f,-0.9630145809992480820938f,-0.3924506725722226585518f,\
+0.4413762601275756369823f,0.9432440329190430183814f,-0.1798366074472934617035f,\
+-0.1214902252731905191174f,-1.134237248756892579848f,-0.7168606663031997783264f,\
+1.0473916695445741886772f,0.0745013609201800736104f,0.7586170976909952790024f,\
+-0.5935190472805600414574f,-0.8427835085661474767704f,0.6569834032811123769591f,\
+0.6673172133738860534180f,-0.1144517528481678869667f,-0.7214914324609644769026f,\
+0.3758410950307565223660f,-0.1327212976140068612096f,-0.722383800988696922474f,\
+0.769049408891516961262f,-0.8835660062516154100720f,0.2740448831292710551999f,\
+0.7350195594735607906856f,-0.7094731621063239401792f,-0.7393796262522003281958f,\
+0.6645381846985234375325f,-1.0772344059827341222757f,0.7552201039546350136433f,\
+-0.5413871326815293816281f,0.6185070897724082028546f,0.1835833463904297524483f,\
+-1.176386657281365266670f,-0.8719472877519027775861f,0.4484643942741659561335f,\
+0.2142014421948802427309f,-0.0380669636860080026763f,-0.5997804502671881810016f,\
+-0.9882664118774061590145f,-1.0438491153613729256477f,-0.5001221995547742160682f,\
+0.6576540281533080900545f,0.292080085019127744239f,0.9602726979256205330771f,\
+-0.0676134413768641334697f,0.0573327152217289193192f,0.1810443840994339081973f,\
+0.6100358657130787731759f,0.1887306738654894733287f,0.2267166741276365193869f,\
+-0.2510965487437752940991f,-0.3295815282597121531616f,-0.0975064859373050984992f,\
+0.141305606529955662953f,0.4979116182528884881897f,-0.3338302007475900112787f,\
+0.4361321851910835434296f,0.7324685375973356560309f,0.6498825704253795576548f,\
+0.731090278993245523687f,0.526015577583169635645f,-0.2268132361170670519002f,\
+0.4768211073463659022131f,0.7230501420836584758334f,-0.6728715276854828619690f,\
+-1.0676488164290300897363f,0.9885963208407696489743f,-0.6838069995773392584226f,\
+1.1764223744131836468796f,0.4622592705138702240397f,0.2190994523411692873616f,\
+0.1750786606269341127984f,0.345826480359459564884f,0.3113998336672463840280f,\
+-0.8730018295092231150889f,-0.1117708529226727198758f,-1.1128425715998719880417f,\
+0.0999542424787834421496f,-0.7426595867662098005013f,-0.8760306483273037070347f,\
+0.6424428721795988339593f,1.1452043748636047126865f}
+
+#define CSOURCER {-1.1795163216180464260674f,-0.6957584169324845246862f,0.8259988996926452831104f,\
+0.2005040766836741483736f,-1.2112828126521528737669f,1.577061196992769698255f,\
+0.7637772368360737917925f,1.8192271630516374525399f,0.5455430088849253511540f,\
+1.146539236621446411490f,1.6240394311350210276856f,-1.4966797534977682726520f,\
+-1.59547014335820214193f,-0.7395898851221245351439f,-0.8068636961152658715335f,\
+-1.0311002075319768422901f,1.2005970723482952688954f,-0.2648910783446530303742f,\
+-0.2626223153489460337973f,-0.7475187472806215094323f,-0.5661153624892958369230f,\
+0.7434875747358512532159f,0.7872535238570613769227f,0.451715552409009846180f,\
+0.4606878032667490185936f,0.0776842938192593146507f,0.8641526902252117947612f,\
+1.207833841833020782630f,0.8731959322473188400693f,0.0203507380205638840898f,\
+-2.142561452892851825425f,0.3422111419280877142590f,1.2579314478540355448644f,\
+1.7477933051936518360492f,0.5187339957481993391042f,-0.132728581017459240643f,\
+-1.1602733035670516059668f,0.4875989045190238790894f,-0.5701105851822111381111f,\
+-1.1912139790942799510987f,2.0124340046175204221868f,-2.7045248893564091119401f,\
+-0.6431322992574242114472f,-1.9153194443350760600708f,-0.5655545944523592272191f,\
+-0.65321727466490830949f,-0.704349532744792949934f,0.1130503418105048285547f,\
+0.7790220841116946015603f,-0.8369920883463126681789f,-1.604067362874623814406f,\
+-0.2256746981594401069149f,-0.1392938143448255172707f,0.6830835101317246360608f,\
+-0.4155213883413004238854f,0.0229733819760836940893f,0.8246417042132325736503f,\
+-0.6376565658151804871778f,-1.7068298799179615343746f,1.4073819355206949044401f,\
+-0.8295221757203087298294f,0.6373043870424420775933f,-0.2922017410826197592044f,\
+2.1752387761511053909658f,0.0600723389389604608968f,0.7835812912685555797765f,\
+-1.3959357154825373648066f,-2.0629358999978850697232f,0.2656918800288301518719f,\
+-1.1613766205716309354301f,0.8939124507954123721731f,1.6784098435216081579568f,\
+1.2683311792448521693188f,1.8385748076192800493089f,-0.9497329202198889763764f,\
+-1.270378528387523964227f,0.7963056587352231874277f,-0.8480009473832804678395f,\
+-0.8640072224951356183453f,-0.8715001223760306947597f,-1.0437638424148545368553f,\
+-0.4238345049288854693437f,1.1151445198271947578661f,-2.2055374030068151114392f,\
+0.2874269036908579932899f,-1.141542990475093111158f,0.5076848390265716881586f,\
+0.3056363849775944885323f,-0.3052849785217074396471f,0.0155317052678219415240f,\
+0.2432114799458970910706f,0.6784283234918451199746f,1.872617399166290219625f,\
+-0.5480102320972454199577f,-1.1310137592478748391756f,-0.0865801063652356234224f,\
+-0.32288669591661972591f,-0.3304845320488251636526f,0.0611848701378388329375f,\
+1.826560717567842440090f,0.7447867877814601245134f,-1.1564474239432984692399f,\
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+
+#define CSOURCEI {-0.9552428551144188650923f,1.2961834852294731312838f,1.1017640646828426032044f,\
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+
+#define CRESULTR {-1.0378404956328399766363f,-1.133735695651125086059f,1.0339197498326544444325f,\
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+
+#define CRESULTI {-0.3299360864553753103223f,0.5773236414575498853807f,0.4991095547887292593892f,\
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+0.1355147604481500289708f,-0.1428984493591255733325f,0.3037123307940571281804f,\
+1.5115293287912119346572f,0.4692494475562393740908f,-0.154956179496453544386f,\
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+-0.5014387951037901913764f,0.5397742494143892288960f}
+
+
+
+
+
+
+void satansTest() {
+ 	float in[]= SOURCE;
+	float res[]= RESULT;
+	float out;
+	int i=0;
+
+	for (i=0;i<200;i++){
+		out=satans(in[i]);
+		assert( ( (fabs(out-res[i])) / (fabs(out)) ) <1e-7);
+	}
+}
+
+void catansTest(void) {
+	float inR[]=CSOURCER;
+	float inI[]=CSOURCEI;
+	float resR[]=CRESULTR;
+	float resI[]=CRESULTI;
+	floatComplex in, out;
+	int i=0;
+
+	for (i=0;i<200;i++){
+		in=FloatComplex(inR[i],inI[i]);
+		out=catans(in);
+		assert( ( (fabs(creals(out)-resR[i])) / (fabs(creals(out))) ) <1e-6);
+		assert( ( (fabs(cimags(out)-resI[i])) / (fabs(cimags(out))) ) <1e-6);	
+	}
+}
+
+void satanaTest(void) {
+	float in[]= SOURCE;
+	float res[]= RESULT;
+	float out[200];
+	int i=0;
+	
+	satana(in,200,out);
+	for (i=0;i<200;i++){
+		assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <1e-6);
+	}
+}
+
+void catanaTest(void) {
+ 	float inR[]=CSOURCER;
+	float inI[]=CSOURCEI;
+	float resR[]=CRESULTR;
+	float resI[]=CRESULTI;
+	floatComplex in[200], out[200];
+	int i=0;
+
+	for (i=0;i<200;i++){
+		in[i]=FloatComplex(inR[i],inI[i]);
+	}
+	catana(in,200,out);
+	for (i=0;i<200;i++){
+		assert( ( (fabs(creals(out[i])-resR[i])) / (fabs(creals(out[i]))) ) <1e-6);
+		assert( ( (fabs(cimags(out[i])-resI[i])) / (fabs(cimags(out[i]))) ) <1e-6);	
+	}	
+}
+
+
+
+int testAtan() {
+  printf("\n>>>> Float Arc tangeant Tests\n");
+  satansTest();
+  catansTest();
+  satanaTest();
+  catanaTest();
+
+  return 0;
+}
+
+int main() {
+  assert(testAtan() == 0);
+  return 0;
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/zatana.c b/2.3-1/src/c/elementaryFunctions/atan/zatana.c
new file mode 100644
index 00000000..bfe4fc34
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/zatana.c
@@ -0,0 +1,20 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - 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 "atan.h"
+
+void zatana(doubleComplex* x, int size, doubleComplex* y) {
+  int i = 0;
+  for (i = 0; i < size; ++i) {
+    y[i] = zatans(x[i]);
+  }
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/zatans.c b/2.3-1/src/c/elementaryFunctions/atan/zatans.c
new file mode 100644
index 00000000..4b8e9640
--- /dev/null
+++ b/2.3-1/src/c/elementaryFunctions/atan/zatans.c
@@ -0,0 +1,242 @@
+/*
+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ *  Copyright (C) 2006-2008 - INRIA - Bruno JOFRET
+ *  Copyright (C) Bruno Pincon
+ *
+ *  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
+ *
+ */
+
+/*
+  PURPOSE
+  watan compute the arctangent of a complex number
+  y = yr + i yi = atan(x), x = xr + i xi
+
+  CALLING LIST / PARAMETERS
+  subroutine watan(xr,xi,yr,yi)
+  double precision xr,xi,yr,yi
+
+  xr,xi: real and imaginary parts of the complex number
+  yr,yi: real and imaginary parts of the result
+  yr,yi may have the same memory cases than xr et xi
+
+  COPYRIGHT (C) 2001 Bruno Pincon and Lydia van Dijk
+  Written by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr> so
+  as to get more precision.  Also to fix the
+  behavior at the singular points and at the branch cuts.
+  Polished by Lydia van Dijk
+  <lvandijk@hammersmith-consulting.com>
+
+  CHANGES : - (Bruno on 2001 May 22) for ysptrk use a
+  minimax polynome to enlarge the special
+  evaluation zone |s| < SLIM. Also rename
+  this function as lnp1m1.
+  - (Bruno on 2001 June 7) better handling
+  of spurious over/underflow ; remove
+  the call to pythag ; better accuracy
+  in the real part for z near +-i
+
+  EXTERNALS FUNCTIONS
+  dlamch
+  lnp1m1  (at the end of this file)
+
+  ALGORITHM : noting z = a + i*b, we have:
+  Z = yr + yi*b = arctan(z) = (i/2) * log( (i+z)/(i-z) )
+
+  This function has two branch points at +i and -i and the
+  chosen  branch cuts are the two half-straight lines
+  D1 = [i, i*oo) and D2 = (-i*oo, i].  The function is then
+  analytic in C \ (D1 U D2)).
+
+  From the definition it follows that:
+
+  yr = 0.5 Arg ( (i+z)/(i-z) )                   (1)
+  yi = 0.5 log (|(i+z)/(i-z)|)                   (2)
+
+  so lim (z -> +- i) yr = undefined (and Nan is logical)
+  lim (z -> +i)   yi = +oo
+  lim (z -> -i)   yi = -oo
+
+  The real part of arctan(z) is discontinuous across D1 and D2
+  and we impose the following definitions:
+  if imag(z) > 1 then
+  Arg(arctan(z)) =  pi/2 (=lim real(z) -> 0+)
+  if imag(z) < 1 then
+  Arg(arctan(z)) = -pi/2 (=lim real(z) -> 0-)
+
+
+  Basic evaluation: if we write (i+z)/(i-z) using
+  z = a + i*b, we get:
+
+  i+z    1-(a**2+b**2) + i*(2a)
+  --- =  ----------------------
+  i-z       a**2 + (1-b)**2
+
+  then, with r2 = |z|^2 = a**2 + b**2 :
+
+  yr = 0.5 * Arg(1-r2 + (2*a)*i)
+  = 0.5 * atan2(2a, (1-r2))                      (3)
+
+  This formula is changed when r2 > RMAX (max pos float)
+  and also when |1-r2| and |a| are near 0 (see comments
+  in the code).
+
+  After some math:
+
+  yi = 0.25 * log( (a**2 + (b + 1)**2) /
+  (a**2 + (b - 1)**2) )            (4)
+
+  Evaluation for "big" |z|
+  ------------------------
+
+  If |z| is "big", the direct evaluation of yi by (4) may
+  suffer of innaccuracies and of spurious overflow.  Noting
+  that  s = 2 b / (1 + |z|**2), we have:
+
+  yi = 0.25 log ( (1 + s)/(1 - s) )                 (5)
+
+  3        5
+  yi = 0.25*( 2 * ( s + 1/3 s  + 1/5 s  + ... ))
+
+  yi = 0.25 * lnp1m1(s)    if  |s| < SLIM
+
+  So if |s| is less than SLIM we switch to a special
+  evaluation done by the function lnp1m1. The
+  threshold value SLIM is choosen by experiment
+  (with the Pari-gp software). For |s|
+  "very small" we used a truncated taylor dvp,
+  else a minimax polynome (see lnp1m1).
+
+  To avoid spurious overflows (which result in spurious
+  underflows for s) in computing s with s= 2 b / (1 + |z|**2)
+  when |z|^2 > RMAX (max positive float) we use :
+
+  s = 2d0 / ( (a/b)*a + b )
+
+  but if |b| = Inf  this formula leads to NaN when
+  |a| is also Inf. As we have :
+
+  |s| <= 2 / |b|
+
+  we impose simply : s = 0  when |b| = Inf
+
+  Evaluation for z very near to i or -i:
+  --------------------------------------
+  Floating point numbers of the form a+i or a-i with 0 <
+  a**2 < tiny (approximately 1d-308) may lead to underflow
+  (i.e., a**2 = 0) and the logarithm will break formula (4).
+  So we switch to the following formulas:
+
+  If b = +-1 and |a| < sqrt(tiny) approximately 1d-150 (say)
+  then (by using that a**2 + 4 = 4 in machine for such a):
+
+  yi = 0.5 * log( 2/|a| )   for b=1
+
+  yi = 0.5 * log( |a|/2 )   for b=-1
+
+  finally: yi = 0.5 * sign(b) * log( 2/|a| )
+  yi = 0.5 * sign(b) * (log(2) - log(|a|)) (6)
+
+  The last trick is to avoid overflow for |a|=tiny!  In fact
+  this formula may be used until a**2 + 4 = 4 so that the
+  threshold value may be larger.
+*/
+
+#include <math.h>
+#include "lapack.h"
+#include "atan.h"
+#include "abs.h"
+#include "lnp1m1.h"
+
+#define _sign(a, b) b >=0 ? a : -a
+
+doubleComplex		zatans(doubleComplex z) {
+  static double sSlim	= 0.2;
+  static double sAlim	= 1E-150;
+  static double sTol	= 0.3;
+  static double sLn2	= 0.6931471805599453094172321;
+
+  double RMax				= getOverflowThreshold();
+  double Pi_2				= 2.0 * datans(1);
+
+  double _inReal = zreals(z);
+  double _inImg = zimags(z);
+  double _outReal = 0;
+  double _outImg = 0;
+
+  /* Temporary variables */
+  double R2 = 0;
+  double S = 0;
+
+
+  if(_inImg == 0)
+    {
+      _outReal	= datans(_inReal);
+      _outImg	= 0;
+    }
+  else
+    {
+      R2 = _inReal * _inReal + _inImg * _inImg; /* Oo */
+      if(R2 > RMax)
+	{
+	  if( dabss(_inImg) > RMax)
+	    S = 0;
+	  else
+	    S = 1 / (((0.5 * _inReal) / _inImg) * _inReal + 0.5 * _inImg );
+	}
+      else
+	S = (2 * _inImg) / (1+R2);
+
+      if(dabss(S) < sSlim)
+	{
+	  /*
+	    s is small: |s| < SLIM  <=>  |z| outside the following disks:
+	    D+ = D(center = [0;  1/slim], radius = sqrt(1/slim**2 - 1)) if b > 0
+	    D- = D(center = [0; -1/slim], radius = sqrt(1/slim**2 - 1)) if b < 0
+	    use the special evaluation of log((1+s)/(1-s)) (5)
+	  */
+	  _outImg = dlnp1m1s(S) * 0.25;
+	}
+      else
+	{
+	  if(dabss(S) == 1 && dabss(_inReal) <= sAlim)
+	    {
+	      /* |s| >= SLIM  => |z| is inside D+ or D- */
+	      _outImg = _sign(0.5,_inImg) * ( sLn2 - log(dabss(_inReal)));
+	    }
+	  else
+	    {
+	      _outImg = 0.25 * log((pow(_inReal,2) + pow((_inImg + 1),2)) / (pow(_inReal,2) + pow((_inImg - 1),2)));
+	    }
+	}
+      if(_inReal == 0)
+	{/* z is purely imaginary */
+	  if( dabss(_inImg) > 1)
+	    {/* got sign(b) * pi/2 */
+	      _outReal = _sign(1, _inImg) * Pi_2;
+	    }
+	  else if( dabss(_inImg) == 1)
+	    {/* got a Nan with 0/0 */
+	      _outReal = (_inReal - _inReal) / (_inReal - _inReal); /* Oo */
+	    }
+	  else
+	    _outReal = 0;
+	}
+      else if(R2 > RMax)
+	{/* _outImg is necessarily very near sign(a)* pi/2 */
+	  _outReal = _sign(1, _inReal) * Pi_2;
+	}
+      else if(dabss(1 - R2) + dabss(_inReal) <= sTol)
+	{/* |b| is very near 1 (and a is near 0)  some cancellation occur in the (next) generic formula */
+	  _outReal = 0.5 * atan2(2 * _inReal, (1-_inImg) * (1 + _inImg) - pow(_inReal,2));
+	}
+      else
+	_outReal = 0.5 * atan2(2 * _inReal, 1 - R2);
+    }
+
+  return DoubleComplex(_outReal, _outImg);
+}
author	Siddhesh Wani	2015-05-25 14:46:31 +0530
committer	Siddhesh Wani	2015-05-25 14:46:31 +0530
commit	6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26 (patch)
tree	1b7bd89fdcfd01715713d8a15db471dc75a96bbf /2.3-1/src/c/elementaryFunctions/atan
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