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authorsimon2008-07-25 15:30:52 +0000
committersimon2008-07-25 15:30:52 +0000
commite7af93817fd17588b94b8625e0132d3170154897 (patch)
treed3411bf9b6ccdf428497535929bdbe3e444758ad /src/statisticsFunctions
parent412bc2d86a5147fdcf9d3a5cc29f47a8ecbeaf88 (diff)
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added functions which computes variances , the float complex functions seems to have a weak precision ( 1-e04 instead of 1-e06 for some value )
Diffstat (limited to 'src/statisticsFunctions')
-rw-r--r--src/statisticsFunctions/variance/Makefile772
-rw-r--r--src/statisticsFunctions/variance/Makefile.am83
-rw-r--r--src/statisticsFunctions/variance/Makefile.in772
-rw-r--r--src/statisticsFunctions/variance/ccolumnvariancea.c29
-rw-r--r--src/statisticsFunctions/variance/crowvariancea.c40
-rw-r--r--src/statisticsFunctions/variance/cvariancea.c50
-rw-r--r--src/statisticsFunctions/variance/dcolumnvariancea.c28
-rw-r--r--src/statisticsFunctions/variance/drowvariancea.c33
-rw-r--r--src/statisticsFunctions/variance/dvariancea.c39
-rw-r--r--src/statisticsFunctions/variance/scolumnvariancea.c29
-rw-r--r--src/statisticsFunctions/variance/srowvariancea.c32
-rw-r--r--src/statisticsFunctions/variance/svariancea.c38
-rw-r--r--src/statisticsFunctions/variance/svn-prop.tmp12
-rw-r--r--src/statisticsFunctions/variance/testDoubleVariance.c330
-rw-r--r--src/statisticsFunctions/variance/testFloatVariance.c329
-rw-r--r--src/statisticsFunctions/variance/zcolumnvariancea.c31
-rw-r--r--src/statisticsFunctions/variance/zrowvariancea.c39
-rw-r--r--src/statisticsFunctions/variance/zvariancea.c50
18 files changed, 2736 insertions, 0 deletions
diff --git a/src/statisticsFunctions/variance/Makefile b/src/statisticsFunctions/variance/Makefile
new file mode 100644
index 00000000..a065fe6c
--- /dev/null
+++ b/src/statisticsFunctions/variance/Makefile
@@ -0,0 +1,772 @@
+# Makefile.in generated by automake 1.10.1 from Makefile.am.
+# statisticsFunctions/variance/Makefile. Generated from Makefile.in by configure.
+
+# 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.
+
+
+
+
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+host_triplet = i686-pc-linux-gnu
+check_PROGRAMS = testFloatVariance$(EXEEXT) \
+ testDoubleVariance$(EXEEXT)
+TESTS = testFloatVariance$(EXEEXT) testDoubleVariance$(EXEEXT)
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+ libVariance_la-scolumnvariancea.lo \
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+ libVariance_la-drowvariancea.lo \
+ libVariance_la-dcolumnvariancea.lo \
+ libVariance_la-cvariancea.lo libVariance_la-crowvariancea.lo \
+ libVariance_la-ccolumnvariancea.lo \
+ libVariance_la-zvariancea.lo libVariance_la-zrowvariancea.lo \
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+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes \
+ -I ../includes
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+ dvariancea.c \
+ srowvariancea.c \
+ drowvariancea.c \
+ dcolumnvariancea.c \
+ cvariancea.c \
+ crowvariancea.c \
+ ccolumnvariancea.c \
+ zvariancea.c \
+ zrowvariancea.c \
+ zcolumnvariancea.c
+
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+
+####
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+####
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+
+
+#
+# -*- Variance Tests -*-
+#
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+ $(libVariance_la_LINK) -rpath $(pkglibdir) $(libVariance_la_OBJECTS) $(libVariance_la_LIBADD) $(LIBS)
+
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+
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+ -rm -f *.tab.c
+
+include ./$(DEPDIR)/libVariance_la-ccolumnvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-crowvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-cvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-dcolumnvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-drowvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-dvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-scolumnvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-srowvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-svariancea.Plo
+include ./$(DEPDIR)/libVariance_la-zcolumnvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-zrowvariancea.Plo
+include ./$(DEPDIR)/libVariance_la-zvariancea.Plo
+include ./$(DEPDIR)/testDoubleVariance-testDoubleVariance.Po
+include ./$(DEPDIR)/testFloatVariance-testFloatVariance.Po
+
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+# source='$<' object='$@' libtool=yes \
+# DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) \
+# $(LTCOMPILE) -c -o $@ $<
+
+libVariance_la-svariancea.lo: svariancea.c
+ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libVariance_la_CFLAGS) $(CFLAGS) -MT libVariance_la-svariancea.lo -MD -MP -MF $(DEPDIR)/libVariance_la-svariancea.Tpo -c -o libVariance_la-svariancea.lo `test -f 'svariancea.c' || echo '$(srcdir)/'`svariancea.c
+ mv -f $(DEPDIR)/libVariance_la-svariancea.Tpo $(DEPDIR)/libVariance_la-svariancea.Plo
+# source='svariancea.c' object='libVariance_la-svariancea.lo' libtool=yes \
+# DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) \
+# $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libVariance_la_CFLAGS) $(CFLAGS) -c -o libVariance_la-svariancea.lo `test -f 'svariancea.c' || echo '$(srcdir)/'`svariancea.c
+
+libVariance_la-scolumnvariancea.lo: scolumnvariancea.c
+ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libVariance_la_CFLAGS) $(CFLAGS) -MT libVariance_la-scolumnvariancea.lo -MD -MP -MF $(DEPDIR)/libVariance_la-scolumnvariancea.Tpo -c -o libVariance_la-scolumnvariancea.lo `test -f 'scolumnvariancea.c' || echo '$(srcdir)/'`scolumnvariancea.c
+ mv -f $(DEPDIR)/libVariance_la-scolumnvariancea.Tpo $(DEPDIR)/libVariance_la-scolumnvariancea.Plo
+# source='scolumnvariancea.c' object='libVariance_la-scolumnvariancea.lo' libtool=yes \
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+# $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libVariance_la_CFLAGS) $(CFLAGS) -c -o libVariance_la-scolumnvariancea.lo `test -f 'scolumnvariancea.c' || echo '$(srcdir)/'`scolumnvariancea.c
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+libVariance_la-dvariancea.lo: dvariancea.c
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diff --git a/src/statisticsFunctions/variance/Makefile.am b/src/statisticsFunctions/variance/Makefile.am
new file mode 100644
index 00000000..c0bfbd96
--- /dev/null
+++ b/src/statisticsFunctions/variance/Makefile.am
@@ -0,0 +1,83 @@
+##
+## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+## Copyright (C) 2008-2008 - INRIA - Allan SIMON
+##
+## 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
+##
+##
+
+libVariance_la_CFLAGS = -I $(top_builddir)/type \
+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes \
+ -I ../includes
+
+
+instdir = $(top_builddir)/lib
+
+pkglib_LTLIBRARIES = libVariance.la
+
+libVariance_la_SOURCES = $(HEAD) $(SRC)
+
+SRC = svariancea.c \
+ scolumnvariancea.c \
+ dvariancea.c \
+ srowvariancea.c \
+ drowvariancea.c \
+ dcolumnvariancea.c \
+ cvariancea.c \
+ crowvariancea.c \
+ ccolumnvariancea.c \
+ zvariancea.c \
+ zrowvariancea.c \
+ zcolumnvariancea.c
+
+HEAD = ../includes/variance.h
+
+####
+# Checking Part
+####
+
+check_INCLUDES = -I $(top_builddir)/statisticsFunctions/includes \
+ -I $(top_builddir)/elementaryFunctions/includes \
+ -I $(top_builddir)/matrixOperations/includes \
+ -I $(top_builddir)/type
+
+check_LDADD = $(top_builddir)/type/libDoubleComplex.la \
+ $(top_builddir)/type/libFloatComplex.la \
+ $(top_builddir)/lib/lapack/libscilapack.la \
+ $(top_builddir)/statisticsFunctions/variance/libVariance.la \
+ $(top_builddir)/statisticsFunctions/sum/libSum.la \
+ $(top_builddir)/statisticsFunctions/mean/libMean.la \
+ $(top_builddir)/elementaryFunctions/pow/libPow.la \
+ $(top_builddir)/elementaryFunctions/log/libLog.la \
+ $(top_builddir)/elementaryFunctions/exp/libExp.la \
+ $(top_builddir)/elementaryFunctions/cos/libCos.la \
+ $(top_builddir)/elementaryFunctions/sin/libSin.la \
+ $(top_builddir)/elementaryFunctions/cosh/libCosh.la \
+ $(top_builddir)/elementaryFunctions/sinh/libSinh.la \
+ $(top_builddir)/elementaryFunctions/sqrt/libSqrt.la \
+ $(top_builddir)/elementaryFunctions/log1p/libLog1p.la \
+ $(top_builddir)/elementaryFunctions/lnp1m1/libLnp1m1.la \
+ $(top_builddir)/auxiliaryFunctions/pythag/libPythag.la \
+ $(top_builddir)/auxiliaryFunctions/abs/libAbs.la \
+ $(top_builddir)/matrixOperations/transpose/libMatrixTranspose.la
+ @LIBMATH@
+
+check_PROGRAMS = testFloatVariance testDoubleVariance
+
+TESTS = testFloatVariance testDoubleVariance
+
+#
+# -*- Variance Tests -*-
+#
+testFloatVariance_SOURCES = testFloatVariance.c
+testFloatVariance_CFLAGS = $(check_INCLUDES)
+testFloatVariance_LDADD = $(check_LDADD)
+
+testDoubleVariance_SOURCES =testDoubleVariance.c
+testDoubleVariance_CFLAGS = $(check_INCLUDES)
+testDoubleVariance_LDADD = $(check_LDADD)
diff --git a/src/statisticsFunctions/variance/Makefile.in b/src/statisticsFunctions/variance/Makefile.in
new file mode 100644
index 00000000..394f4d3e
--- /dev/null
+++ b/src/statisticsFunctions/variance/Makefile.in
@@ -0,0 +1,772 @@
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+# gives unlimited permission to copy and/or distribute it,
+# with or without modifications, as long as this notice is preserved.
+
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+
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+ dcolumnvariancea.c \
+ cvariancea.c \
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+
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+
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+ test -n "$$unique" || unique=$$empty_fix; \
+ $(ETAGS) $(ETAGSFLAGS) $(AM_ETAGSFLAGS) $(ETAGS_ARGS) \
+ $$tags $$unique; \
+ fi
+ctags: CTAGS
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+ list='$(SOURCES) $(HEADERS) $(LISP) $(TAGS_FILES)'; \
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+ END { if (nonempty) { for (i in files) print i; }; }'`; \
+ test -z "$(CTAGS_ARGS)$$tags$$unique" \
+ || $(CTAGS) $(CTAGSFLAGS) $(AM_CTAGSFLAGS) $(CTAGS_ARGS) \
+ $$tags $$unique
+
+GTAGS:
+ here=`$(am__cd) $(top_builddir) && pwd` \
+ && cd $(top_srcdir) \
+ && gtags -i $(GTAGS_ARGS) $$here
+
+distclean-tags:
+ -rm -f TAGS ID GTAGS GRTAGS GSYMS GPATH tags
+
+check-TESTS: $(TESTS)
+ @failed=0; all=0; xfail=0; xpass=0; skip=0; ws='[ ]'; \
+ srcdir=$(srcdir); export srcdir; \
+ list=' $(TESTS) '; \
+ if test -n "$$list"; then \
+ for tst in $$list; do \
+ if test -f ./$$tst; then dir=./; \
+ elif test -f $$tst; then dir=; \
+ else dir="$(srcdir)/"; fi; \
+ if $(TESTS_ENVIRONMENT) $${dir}$$tst; then \
+ all=`expr $$all + 1`; \
+ case " $(XFAIL_TESTS) " in \
+ *$$ws$$tst$$ws*) \
+ xpass=`expr $$xpass + 1`; \
+ failed=`expr $$failed + 1`; \
+ echo "XPASS: $$tst"; \
+ ;; \
+ *) \
+ echo "PASS: $$tst"; \
+ ;; \
+ esac; \
+ elif test $$? -ne 77; then \
+ all=`expr $$all + 1`; \
+ case " $(XFAIL_TESTS) " in \
+ *$$ws$$tst$$ws*) \
+ xfail=`expr $$xfail + 1`; \
+ echo "XFAIL: $$tst"; \
+ ;; \
+ *) \
+ failed=`expr $$failed + 1`; \
+ echo "FAIL: $$tst"; \
+ ;; \
+ esac; \
+ else \
+ skip=`expr $$skip + 1`; \
+ echo "SKIP: $$tst"; \
+ fi; \
+ done; \
+ if test "$$failed" -eq 0; then \
+ if test "$$xfail" -eq 0; then \
+ banner="All $$all tests passed"; \
+ else \
+ banner="All $$all tests behaved as expected ($$xfail expected failures)"; \
+ fi; \
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+ if test "$$xpass" -eq 0; then \
+ banner="$$failed of $$all tests failed"; \
+ else \
+ banner="$$failed of $$all tests did not behave as expected ($$xpass unexpected passes)"; \
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+ fi; \
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+ skipped=""; \
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+ skipped="($$skip tests were not run)"; \
+ test `echo "$$skipped" | wc -c` -le `echo "$$banner" | wc -c` || \
+ dashes="$$skipped"; \
+ fi; \
+ report=""; \
+ if test "$$failed" -ne 0 && test -n "$(PACKAGE_BUGREPORT)"; then \
+ report="Please report to $(PACKAGE_BUGREPORT)"; \
+ test `echo "$$report" | wc -c` -le `echo "$$banner" | wc -c` || \
+ dashes="$$report"; \
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+ else :; fi
+
+distdir: $(DISTFILES)
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+ list='$(DISTFILES)'; \
+ dist_files=`for file in $$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,/[^/]*$$,,'`; \
+ if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \
+ cp -pR $(srcdir)/$$file $(distdir)$$dir || exit 1; \
+ fi; \
+ cp -pR $$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)
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+ test -z "$$dir" || $(MKDIR_P) "$$dir"; \
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+ 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 $(CONFIG_CLEAN_FILES)
+
+maintainer-clean-generic:
+ @echo "This command is intended for maintainers to use"
+ @echo "it deletes files that may require special tools to rebuild."
+clean: clean-am
+
+clean-am: clean-checkPROGRAMS clean-generic clean-libtool \
+ clean-pkglibLTLIBRARIES mostlyclean-am
+
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+ -rm -rf ./$(DEPDIR)
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+ distclean-tags
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+ -rm -rf ./$(DEPDIR)
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+ mostlyclean-libtool
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+ clean-checkPROGRAMS clean-generic clean-libtool \
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+# 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/statisticsFunctions/variance/ccolumnvariancea.c b/src/statisticsFunctions/variance/ccolumnvariancea.c
new file mode 100644
index 00000000..f57e2cb4
--- /dev/null
+++ b/src/statisticsFunctions/variance/ccolumnvariancea.c
@@ -0,0 +1,29 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void ccolumnvariancea(floatComplex *in, int lines, int columns, floatComplex* out){
+
+ int i = 0 ;
+
+
+ floatComplex* mean = (floatComplex*) malloc( sizeof (floatComplex) * (unsigned int) lines );
+
+
+ for ( i = 0; i < lines ; i++)
+ out[i] = cvariancea ( in + i*columns , columns ) ;
+
+ free ( mean );
+
+}
diff --git a/src/statisticsFunctions/variance/crowvariancea.c b/src/statisticsFunctions/variance/crowvariancea.c
new file mode 100644
index 00000000..6f7a0171
--- /dev/null
+++ b/src/statisticsFunctions/variance/crowvariancea.c
@@ -0,0 +1,40 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void crowvariancea(floatComplex *in, int lines, int columns, floatComplex* out){
+
+ int i = 0 ;
+
+
+
+ floatComplex* mean = (floatComplex*) malloc( sizeof (floatComplex) * (unsigned int) columns );
+ floatComplex* transp = (floatComplex*) malloc ( sizeof (floatComplex) *(unsigned int) (lines*columns));
+ /*FIXME : NEED TO REVIEW TRANSPOSE COMPLEX FONCTIONS , they need to not do the conjugate
+ automaticaly */
+ ctransposea ( in , lines , columns , transp ) ;
+
+ for ( i = 0 ; i < columns *lines ; i++)
+ transp[i] = FloatComplex ( creals (transp[i] ) ,- cimags(transp[i]));
+
+ for ( i = 0; i < columns ; i++)
+ {
+
+
+ out[i] = cvariancea ( transp + i*lines , lines ) ;
+ }
+
+ free (transp);
+ free ( mean );
+}
+
diff --git a/src/statisticsFunctions/variance/cvariancea.c b/src/statisticsFunctions/variance/cvariancea.c
new file mode 100644
index 00000000..bff8c91f
--- /dev/null
+++ b/src/statisticsFunctions/variance/cvariancea.c
@@ -0,0 +1,50 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+floatComplex cvariancea(floatComplex *in, int size)
+{
+ int i = 0 ;
+
+ /*here sumcis used to compensate the possible round off error to a less
+ important degree */
+
+ floatComplex sum = FloatComplex ( 0 , 0 ) ;
+ floatComplex temp = FloatComplex ( 0 , 0 ) ;
+ floatComplex sumc = FloatComplex ( 0 , 0 ) ;
+ floatComplex variance = FloatComplex ( 0 , 0 );
+ floatComplex mean = cmeana ( in , size ) ;
+
+ for ( i = 0 ; i < size ; i++)
+ {
+
+ temp = cdiffs( in[i] , mean ) ;
+ sum = cadds ( sum , cpows ( temp , FloatComplex ( 2.0f, 0) ) );
+ sumc = cadds ( sumc , temp );
+ printf ( "%d r : %e i : %e\n" , i , creals(in[i]) , cimags (in[i]));
+ }
+ printf ( "\n\n" ) ;
+ /*we don't use sumc if equal to 0 otherwise we would have "nan" */
+ if ( fabs ( creals ( sumc)) > 1e-08 || fabs ( cimags ( sumc)) > 1e-08 )
+ {
+ variance = cpows ( sumc ,FloatComplex (2.0f , 0)) ;
+ variance = cdevides ( variance , FloatComplex ((float) size , 0 ) ) ;
+ variance = cdiffs ( sum , variance );
+ variance = cdevides (variance , FloatComplex ((float) (size - 1),0 ));
+ }
+ else
+ variance = cdevides (sum , FloatComplex ((float) (size - 1),0 ));
+
+ return variance ;
+}
+
diff --git a/src/statisticsFunctions/variance/dcolumnvariancea.c b/src/statisticsFunctions/variance/dcolumnvariancea.c
new file mode 100644
index 00000000..18e7fff2
--- /dev/null
+++ b/src/statisticsFunctions/variance/dcolumnvariancea.c
@@ -0,0 +1,28 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void dcolumnvariancea(double *in, int lines, int columns, double* out){
+
+ int i = 0 ;
+
+
+ double* mean = (double*) malloc( sizeof (double) * (unsigned int) columns );
+
+
+ for ( i = 0; i < lines ; i++)
+ out[i] = dvariancea ( in + i*columns , columns ) ;
+
+ free ( mean );
+}
+
diff --git a/src/statisticsFunctions/variance/drowvariancea.c b/src/statisticsFunctions/variance/drowvariancea.c
new file mode 100644
index 00000000..d101c1ad
--- /dev/null
+++ b/src/statisticsFunctions/variance/drowvariancea.c
@@ -0,0 +1,33 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void drowvariancea(double *in, int lines, int columns, double* out){
+
+ int i = 0 ;
+
+
+
+ double* mean = (double*) malloc( sizeof (double) * (unsigned int) columns );
+ double* transp = (double*) malloc ( sizeof (double) *(unsigned int) (lines*columns));
+
+ dtransposea ( in , lines , columns , transp ) ;
+
+ for ( i = 0; i < columns ; i++)
+ out[i] = dvariancea ( transp + i*lines , lines ) ;
+
+
+ free (transp);
+ free ( mean );
+}
diff --git a/src/statisticsFunctions/variance/dvariancea.c b/src/statisticsFunctions/variance/dvariancea.c
new file mode 100644
index 00000000..2454968e
--- /dev/null
+++ b/src/statisticsFunctions/variance/dvariancea.c
@@ -0,0 +1,39 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+double dvariancea(double *in, int size)
+{
+ int i = 0 ;
+
+ double temp = 0 ;
+ double sumc = 0 ;
+ double variance = 0;
+
+ double mean = dmeana ( in , size );
+
+ for ( i = 0 ; i < size ; i++)
+ {
+
+ temp += dpows ( (in[i] - mean ) ,2 ) ;
+ sumc += (in[i] - mean);
+ }
+
+ if ( fabs ( sumc) > 1e-16)
+ variance = ( temp - dpows( sumc,2)/size)/ ( size -1);
+ else
+ variance = ( temp )/ ( size -1);
+
+ return variance ;
+}
+
diff --git a/src/statisticsFunctions/variance/scolumnvariancea.c b/src/statisticsFunctions/variance/scolumnvariancea.c
new file mode 100644
index 00000000..0ac31809
--- /dev/null
+++ b/src/statisticsFunctions/variance/scolumnvariancea.c
@@ -0,0 +1,29 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+
+void scolumnvariancea(float *in, int lines, int columns, float* out){
+ int i = 0 ;
+
+
+ float* mean = (float*) malloc( sizeof (float) * (unsigned int) columns );
+
+
+ for ( i = 0; i < lines ; i++)
+ out[i] = svariancea ( in + i*columns , columns ) ;
+
+ free ( mean );
+}
+
diff --git a/src/statisticsFunctions/variance/srowvariancea.c b/src/statisticsFunctions/variance/srowvariancea.c
new file mode 100644
index 00000000..c3ae9dd3
--- /dev/null
+++ b/src/statisticsFunctions/variance/srowvariancea.c
@@ -0,0 +1,32 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void srowvariancea(float *in, int lines, int columns, float* out){
+
+ int i = 0 ;
+
+
+
+ float* mean = (float*) malloc( sizeof (float) * (unsigned int) columns );
+ float* transp = (float*) malloc ( sizeof (float) *(unsigned int) (lines*columns));
+
+ stransposea ( in , lines , columns , transp ) ;
+
+ for ( i = 0; i < columns ; i++)
+ out[i] = svariancea ( transp + i*lines , lines ) ;
+
+
+ free (transp);
+ free ( mean );
+}
diff --git a/src/statisticsFunctions/variance/svariancea.c b/src/statisticsFunctions/variance/svariancea.c
new file mode 100644
index 00000000..d5c03205
--- /dev/null
+++ b/src/statisticsFunctions/variance/svariancea.c
@@ -0,0 +1,38 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+float svariancea(float *in, int size)
+{
+ int i = 0 ;
+
+ float temp = 0 ;
+ float sumc = 0 ;
+ float variance = 0;
+
+ float mean = smeana ( in , size );
+
+ for ( i = 0 ; i < size ; i++)
+ {
+
+ temp += spows ( (in[i] - mean ) ,2.0f ) ;
+ sumc += (in[i] - mean);
+ }
+
+ if ( fabs ( sumc) > 1e-08)
+ variance = (float) ( temp - spows( sumc,2.0f)/(float)size)/(float) ( size -1);
+ else
+ variance = (float) ( temp )/(float) ( size -1);
+
+ return variance ;
+}
diff --git a/src/statisticsFunctions/variance/svn-prop.tmp b/src/statisticsFunctions/variance/svn-prop.tmp
new file mode 100644
index 00000000..4c36708a
--- /dev/null
+++ b/src/statisticsFunctions/variance/svn-prop.tmp
@@ -0,0 +1,12 @@
+
+.libs
+.deps
+Makefile
+testMatrixAddition
+testMatrixSubtraction
+testMatrixMultiplication
+testMatrixDivision
+*.o
+*.lo
+*.la
+
diff --git a/src/statisticsFunctions/variance/testDoubleVariance.c b/src/statisticsFunctions/variance/testDoubleVariance.c
new file mode 100644
index 00000000..531df13e
--- /dev/null
+++ b/src/statisticsFunctions/variance/testDoubleVariance.c
@@ -0,0 +1,330 @@
+/*
+ * 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 <assert.h>
+#include <stdio.h>
+
+#include "variance.h"
+
+#define SINGLE 1.323312455
+#define LINES 7
+#define COLUMNS 10
+#define MATRIX {0.102326436434,0.939044147730,0.638607255649,0.059883427806,0.311199211050,\
+ 0.377510951832,0.909709410276,0.928138985299,0.855155082885,0.308869514614,\
+0.729239261709,0.127006734256,0.242402311414,0.807912770193,0.621117659844,\
+ 0.081452373881,0.088844371960,0.587072817143,0.068080495112,0.995457543526,\
+0.835322400089,0.656235548668,0.767905956600,0.706818781793,0.187699332368,\
+ 0.568810169585,0.401039466728,0.397196868435,0.483212330844,0.161224133335,\
+0.932864250615,0.719208867755,0.262409000657,0.931377100293,0.596724558622,\
+ 0.310327019077,0.350161732174,0.104841318447,0.830732351169,0.804621329065,\
+0.050784428138,0.551920620725,0.125952405389,0.083156193607,0.420623748098,\
+ 0.168616071343,0.707545555662,0.104633864947,0.465604968835,0.489758284763,\
+0.167727907188,0.760689914692,0.454900974408,0.063926273491,0.87152507063,0.978668818716,\
+ 0.135898929089,0.484713065904,0.785042577423,0.049412418623,\
+0.947593610268,0.884073690511,0.212796610314,0.654832502827,0.007690255996,\
+ 0.031808692031,0.706323316786,0.008731670678,0.270014822017,0.153652121313}
+
+
+#define MATRIXROW {0.168824942350,0.072908122527,0.057987977092,0.149998975703,0.085086319404,\
+0.108508638451,0.096937985957,0.107281660264,0.091363871817,0.128577818421}
+
+#define MATRIXCOL { 0.123307827428,0.123213594199,0.054037725959,0.092551230301,0.055505564488,\
+0.127629921958,0.138516743375 }
+
+
+#define IMATRIX {0.05826747464016080,0.99946373142302036,0.85600351681932807,0.62329693790525198,\
+ 0.49792320514097810,0.44210509583353996,0.55833499459549785,0.09633230511099100,\
+ 0.80100952507928014,0.34466254524886608,\
+0.48831309471279383,0.95087061496451497,0.01332767866551876,0.76261807000264525,\
+ 0.74346329551190138,0.65157829830422997,0.57006288319826126,0.70580983115360141,\
+ 0.51323400903493166,0.64977857517078519,\
+0.80352442665025592,0.69910932797938585,0.69258948462083936,0.91169391758739948,\
+ 0.92454590043053031,0.27637310232967138,0.31692579621449113,0.86305770650506020,\
+ 0.20109100220724940,0.01225362811237574,\
+0.38199013099074364,0.96006405679509044,0.16440964583307505,0.59608811559155583,\
+ 0.72101737372577190,0.58661046391353011,0.99326277803629637,0.00761850038543344,\
+ 0.78608208894729614,0.89965870184823871,\
+0.43115562805905938,0.81857266277074814,0.83410377753898501,0.55516970623284578,\
+ 0.51345925079658628,0.04770902730524540,0.80747798969969153,0.80489510949701071,\
+ 0.78650354826822877,0.30791273340582848,\
+0.75731822755187750,0.53423820668831468,0.42618893459439278,0.85448804078623652,\
+ 0.92601215932518244,0.94169309409335256,0.85547966323792934,0.59637623047456145,\
+ 0.69515300076454878,0.18359116325154901,\
+0.01200280850753188,0.2255702270194888,0.34853330114856362,0.55313225090503693,\
+ 0.63695094687864184,0.96132039744406939,0.50314606027677655,0.11768362112343311,\
+ 0.42481321236118674,0.52963322307914495}
+
+#define RMATRIX {0.53868199465796351,0.65326874051243067,0.37497402401641011,0.60422550700604916,\
+ 0.33622304117307067,0.03531436901539564,0.33213760564103723,0.39493087679147720,\
+ 0.04170337272807956,0.87363853026181459,\
+0.65950810909271240,0.31221040291711688,0.15333442110568285,0.66478573577478528,\
+ 0.44319023378193378,0.40884594758972526,0.94536898937076330,0.67733758920803666,\
+ 0.18673646822571754,0.92331133363768458,\
+0.55921846115961671,0.75012728199362755,0.23257926432415843,0.57102064136415720,\
+ 0.60969385923817754,0.67336730472743511,0.07624059682711959,0.10437540244311094,\
+ 0.95672677317634225,0.19771346449851990,\
+0.05278092902153730,0.75808868417516351,0.17633479088544846,0.01146994484588504,\
+ 0.36732212174683809,0.19948644982650876,0.52714426256716251,0.21445603063330054,\
+ 0.94751045759767294,0.04272260749712586,\
+0.03257346292957664,0.53217577841132879,0.87635089689865708,0.15471007302403450,\
+ 0.25448470888659358,0.91815057490020990,0.72509902389720082,0.87545845471322536,\
+ 0.05635281419381499,0.01432112138718367,\
+0.57406943850219250,0.80984140699729323,0.01664119493216276,0.93888836959376931,\
+ 0.11264799535274506,0.66036546928808093,0.76042845565825701,0.25908330874517560,\
+ 0.88014078326523304,0.70332178613170981,\
+0.94614937948063016,0.78529163636267185,0.20241560926660895,0.10981105919927359,\
+ 0.75415370846167207,0.15320260450243950,0.59521253732964396,0.71318271104246378,\
+ 0.51107599260285497,0.52125945501029491}
+
+
+
+
+
+
+#define IMATRIXROW {-0.0419293790250184,-0.05416405376783551,+0.11775191182077104,+0.08015791690354153,+0.00011032748454003,\
+-0.10124210045965254,0.06720614014223115,+0.02470873836336094,-0.07082037296251543,-0.00621987869853545}
+
+#define RMATRIXROW {0.01439621349781126,-0.04697393442028135,-0.03018604392150223,0.09765990436118642,0.01606884471097247,\
+-0.00604250542333471,0.02870576510687836,-0.04985742926427023,0.12356001472881707,0.05909180726174274}
+
+#define IMATRIXCOL {-0.01904810719805961,+0.04121453132770223,+0.00378553967089328,\
++0.10307670507342410,+0.03497427750676810,+0.01761849804019567,-0.10182321471060848}
+
+#define RMATRIXCOL {-0.02739893277693160,0.01792852626358409,-0.02205084134302381,\
+-0.01012610864032573,0.07317682977907164,0.04762062457313784,0.00849011627117621}
+
+
+static void dvariancesTest (void ) {
+
+ double toTest = dvariances (SINGLE) ;
+
+ assert ( fabs ( toTest - SINGLE ) / fabs( toTest) < 1e-06 ) ;
+}
+
+
+static void drowvariancesTest (void ) {
+
+ double toTest = drowvariances (SINGLE) ;
+
+ assert ( fabs ( toTest - SINGLE ) / fabs( toTest) < 1e-06 ) ;
+}
+
+static void dcolumnvariancesTest (void) {
+
+ double toTest = dcolumnvariances (SINGLE) ;
+
+ assert ( fabs ( toTest - SINGLE ) / fabs( toTest) < 1e-06 ) ;
+}
+
+
+static void zvariancesTest (void ) {
+
+ doubleComplex toTest = zvariances ( DoubleComplex ( SINGLE , SINGLE ) );
+
+ assert ( fabs ( zreals( toTest) - SINGLE ) / fabs( zreals( toTest)) < 1e-06 ) ;
+ assert ( fabs ( zimags( toTest) - SINGLE ) / fabs( zimags( toTest)) < 1e-06 ) ;
+}
+
+static void zrowvariancesTest (void ) {
+
+ doubleComplex toTest = zrowvariances ( DoubleComplex ( SINGLE , SINGLE ) );
+
+ assert ( fabs ( zreals( toTest) - SINGLE ) / fabs( zreals( toTest)) < 1e-06 ) ;
+ assert ( fabs ( zimags( toTest) - SINGLE ) / fabs( zimags( toTest)) < 1e-06 ) ;
+}
+
+static void zcolumnvariancesTest (void ) {
+
+ doubleComplex toTest = zrowvariances ( DoubleComplex ( SINGLE , SINGLE ) );
+
+ assert ( fabs ( zreals( toTest) - SINGLE ) / fabs( zreals( toTest)) < 1e-06 ) ;
+ assert ( fabs ( zimags( toTest) - SINGLE ) / fabs( zimags( toTest)) < 1e-06 ) ;
+}
+
+
+
+
+
+
+static void dvarianceaTest ( void){
+
+ double mtoTest[] = MATRIX ;
+ double result = 0.100753297434;
+ double out = dvariancea ( mtoTest , LINES*COLUMNS ); ;
+
+
+
+ printf ( "out : %e\t result : %e\t\n" , out , result ) ;
+
+
+
+ assert ( fabs ( out - result ) / fabs( out ) < 1e-06 ) ;
+
+}
+
+
+static void drowvarianceaTest ( void )
+{
+ int i = 0 ;
+
+ double mtoTest[] = MATRIX ;
+ double result[COLUMNS] = MATRIXROW ;
+ double out[COLUMNS] ;
+
+ drowvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+ for ( i = 0 ; i < COLUMNS ; i++)
+ {
+ printf ( "ROWout : %e\t result : %e\t\n" , out[i] , result [i] ) ;
+ assert ( fabs ( out[i] - result[i] ) / fabs( out[i] ) < 1e-06 ) ;
+ }
+
+}
+
+static void dcolumnvarianceaTest ( void )
+{
+ int i = 0 ;
+
+ double mtoTest[] = MATRIX ;
+ double result[LINES] = MATRIXCOL ;
+ double out[ LINES] ;
+
+
+
+ dcolumnvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+ for ( i = 0 ; i < LINES ; i++)
+ {
+ printf ( "%dCOLout : %e\t result : %e\t\n" ,i, out[i] , result [i] ) ;
+ assert ( fabs ( out[i] - result[i] ) / fabs( out[i] ) < 1e-06 ) ;
+ }
+
+}
+
+
+
+
+static void zvarianceaTest ( void){
+
+ double rmtoTest [] = RMATRIX ;
+ double imtoTest [] = IMATRIX ;
+ doubleComplex Result = DoubleComplex ( 0.01225832057910708 , 0.01071188208687752 );
+
+ doubleComplex* mtoTest = DoubleComplexMatrix ( rmtoTest , imtoTest , LINES*COLUMNS ) ;
+ doubleComplex out = zvariancea ( mtoTest , LINES*COLUMNS ); ;
+
+ assert ( fabs( zreals(out) - zreals (Result) ) / fabs (zreals (out)) < 1e-06 );
+ assert( fabs( zimags(out) - zimags (Result )) / fabs (zimags (out)) < 1e-06 );
+
+
+}
+
+static void zrowvarianceaTest (void ) {
+
+ int i = 0 ;
+
+ double rmtoTest [] = RMATRIX ;
+ double imtoTest [] = IMATRIX ;
+ double rResult [] = RMATRIXROW;
+ double iResult [] = IMATRIXROW ;
+
+ doubleComplex out[COLUMNS];
+ doubleComplex* mtoTest = DoubleComplexMatrix ( rmtoTest , imtoTest , LINES*COLUMNS ) ;
+ doubleComplex* Result = DoubleComplexMatrix ( rResult , iResult , COLUMNS );
+
+ zrowvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+ /*FIXME test failed under 1-e04 precision */
+ for ( i = 0 ; i < COLUMNS ; i++)
+ {
+ printf ( "%d out : %e %e \t result %e %e \n" , i , zreals(out[i]) , zimags(out[i]), zreals(Result[i]) ,zimags( Result[i]));
+ assert ( fabs( zreals(out[i]) - zreals (Result[i]) ) / fabs (zreals (out[i])) < 1e-04 );
+ assert( fabs( zimags(out[i]) - zimags (Result[i])) / fabs (zimags (out[i])) < 1e-04);
+
+ }
+}
+
+
+
+static void zcolumnvarianceaTest ( void) {
+ int i = 0 ;
+
+ double rmtoTest [] = RMATRIX ;
+ double imtoTest [] = IMATRIX ;
+ double rResult [] = RMATRIXCOL;
+ double iResult [] = IMATRIXCOL ;
+
+ doubleComplex out[LINES];
+ doubleComplex* mtoTest = DoubleComplexMatrix ( rmtoTest , imtoTest , LINES*COLUMNS ) ;
+ doubleComplex* Result = DoubleComplexMatrix ( rResult , iResult , LINES );
+
+ zcolumnvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+
+ for ( i = 0 ; i < LINES ; i++)
+ {
+ printf ( "%d out : %e %e \t result %e %e \n" , i , zreals(out[i]) , zimags(out[i]), zreals(Result[i]) ,zimags( Result[i]));
+ assert ( fabs( zreals(out[i]) - zreals (Result[i]) ) / fabs (zreals (out[i])) < 1e-06 );
+ assert( fabs( zimags(out[i]) - zimags (Result[i])) / fabs (zimags (out[i])) < 1e-06);
+
+ }
+
+
+
+}
+
+
+
+
+
+static int testDoubleVariance (void) {
+ printf("\n\n\n\n*********************\n");
+ printf("***** Double Tests ****\n");
+ printf("*********************\n");
+
+ printf("\n\t>>>>singleton real Tests\n");
+ dcolumnvariancesTest () ;
+ dvariancesTest () ;
+ drowvariancesTest () ;
+
+
+ printf("\n\t>>>>singleton complex Tests\n");
+
+ zrowvariancesTest () ;
+ zcolumnvariancesTest () ;
+ zvariancesTest () ;
+
+
+
+ printf("\n\t>>>>array real Tests\n");
+
+ dvarianceaTest () ;
+
+ dcolumnvarianceaTest () ;
+ drowvarianceaTest ( );
+
+
+ printf("\n\t>>>>array complex Tests\n");
+
+ zvarianceaTest () ;
+ zrowvarianceaTest ( );
+ zcolumnvarianceaTest () ;
+
+
+ return 0;
+}
+
+int main(void) {
+ assert(testDoubleVariance () == 0);
+ return 0;
+}
+
diff --git a/src/statisticsFunctions/variance/testFloatVariance.c b/src/statisticsFunctions/variance/testFloatVariance.c
new file mode 100644
index 00000000..ec98387b
--- /dev/null
+++ b/src/statisticsFunctions/variance/testFloatVariance.c
@@ -0,0 +1,329 @@
+/*
+ * 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 <assert.h>
+#include <stdio.h>
+
+#include "variance.h"
+
+#define SINGLE 1.323312455f
+#define LINES 7
+#define COLUMNS 10
+#define MATRIX {0.102326436434f,0.939044147730f,0.638607255649f,0.059883427806f,0.311199211050f,\
+ 0.377510951832f,0.909709410276f,0.928138985299f,0.855155082885f,0.308869514614f,\
+0.729239261709f,0.127006734256f,0.242402311414f,0.807912770193f,0.621117659844f,\
+ 0.081452373881f,0.088844371960f,0.587072817143f,0.068080495112f,0.995457543526f,\
+0.835322400089f,0.656235548668f,0.767905956600f,0.706818781793f,0.187699332368f,\
+ 0.568810169585f,0.401039466728f,0.397196868435f,0.483212330844f,0.161224133335f,\
+0.932864250615f,0.719208867755f,0.262409000657f,0.931377100293f,0.596724558622f,\
+ 0.310327019077f,0.350161732174f,0.104841318447f,0.830732351169f,0.804621329065f,\
+0.050784428138f,0.551920620725f,0.125952405389f,0.083156193607f,0.420623748098f,\
+ 0.168616071343f,0.707545555662f,0.104633864947f,0.465604968835f,0.489758284763f,\
+0.167727907188f,0.760689914692f,0.454900974408f,0.063926273491f,0.87152507063f,0.978668818716f,\
+ 0.135898929089f,0.484713065904f,0.785042577423f,0.049412418623f,\
+0.947593610268f,0.884073690511f,0.212796610314f,0.654832502827f,0.007690255996f,\
+ 0.031808692031f,0.706323316786f,0.008731670678f,0.270014822017f,0.153652121313f}
+
+
+#define MATRIXROW {0.168824942350f,0.072908122527f,0.057987977092f,0.149998975703f,0.085086319404f,\
+0.108508638451f,0.096937985957f,0.107281660264f,0.091363871817f,0.128577818421f}
+
+#define MATRIXCOL { 0.123307827428f,0.123213594199f,0.054037725959f,0.092551230301f,0.055505564488f,\
+0.127629921958f,0.138516743375f }
+
+
+#define IMATRIX {0.05826747464016080f,0.99946373142302036f,0.85600351681932807f,0.62329693790525198f,\
+ 0.49792320514097810f,0.44210509583353996f,0.55833499459549785f,0.09633230511099100f,\
+ 0.80100952507928014f,0.34466254524886608f,\
+0.48831309471279383f,0.95087061496451497f,0.01332767866551876f,0.76261807000264525f,\
+ 0.74346329551190138f,0.65157829830422997f,0.57006288319826126f,0.70580983115360141f,\
+ 0.51323400903493166f,0.64977857517078519f,\
+0.80352442665025592f,0.69910932797938585f,0.69258948462083936f,0.91169391758739948f,\
+ 0.92454590043053031f,0.27637310232967138f,0.31692579621449113f,0.86305770650506020f,\
+ 0.20109100220724940f,0.01225362811237574f,\
+0.38199013099074364f,0.96006405679509044f,0.16440964583307505f,0.59608811559155583f,\
+ 0.72101737372577190f,0.58661046391353011f,0.99326277803629637f,0.00761850038543344f,\
+ 0.78608208894729614f,0.89965870184823871f,\
+0.43115562805905938f,0.81857266277074814f,0.83410377753898501f,0.55516970623284578f,\
+ 0.51345925079658628f,0.04770902730524540f,0.80747798969969153f,0.80489510949701071f,\
+ 0.78650354826822877f,0.30791273340582848f,\
+0.75731822755187750f,0.53423820668831468f,0.42618893459439278f,0.85448804078623652f,\
+ 0.92601215932518244f,0.94169309409335256f,0.85547966323792934f,0.59637623047456145f,\
+ 0.69515300076454878f,0.18359116325154901f,\
+0.01200280850753188f,0.2255702270194888f,0.34853330114856362f,0.55313225090503693f,\
+ 0.63695094687864184f,0.96132039744406939f,0.50314606027677655f,0.11768362112343311f,\
+ 0.42481321236118674f,0.52963322307914495f}
+
+#define RMATRIX {0.53868199465796351f,0.65326874051243067f,0.37497402401641011f,0.60422550700604916f,\
+ 0.33622304117307067f,0.03531436901539564f,0.33213760564103723f,0.39493087679147720f,\
+ 0.04170337272807956f,0.87363853026181459f,\
+0.65950810909271240f,0.31221040291711688f,0.15333442110568285f,0.66478573577478528f,\
+ 0.44319023378193378f,0.40884594758972526f,0.94536898937076330f,0.67733758920803666f,\
+ 0.18673646822571754f,0.92331133363768458f,\
+0.55921846115961671f,0.75012728199362755f,0.23257926432415843f,0.57102064136415720f,\
+ 0.60969385923817754f,0.67336730472743511f,0.07624059682711959f,0.10437540244311094f,\
+ 0.95672677317634225f,0.19771346449851990f,\
+0.05278092902153730f,0.75808868417516351f,0.17633479088544846f,0.01146994484588504f,\
+ 0.36732212174683809f,0.19948644982650876f,0.52714426256716251f,0.21445603063330054f,\
+ 0.94751045759767294f,0.04272260749712586f,\
+0.03257346292957664f,0.53217577841132879f,0.87635089689865708f,0.15471007302403450f,\
+ 0.25448470888659358f,0.91815057490020990f,0.72509902389720082f,0.87545845471322536f,\
+ 0.05635281419381499f,0.01432112138718367f,\
+0.57406943850219250f,0.80984140699729323f,0.01664119493216276f,0.93888836959376931f,\
+ 0.11264799535274506f,0.66036546928808093f,0.76042845565825701f,0.25908330874517560f,\
+ 0.88014078326523304f,0.70332178613170981f,\
+0.94614937948063016f,0.78529163636267185f,0.20241560926660895f,0.10981105919927359f,\
+ 0.75415370846167207f,0.15320260450243950f,0.59521253732964396f,0.71318271104246378f,\
+ 0.51107599260285497f,0.52125945501029491f}
+
+
+
+
+
+
+#define IMATRIXROW {-0.0419293790250184f,-0.05416405376783551f,+0.11775191182077104f,+0.08015791690354153f,+0.00011032748454003f,\
+-0.10124210045965254f,0.06720614014223115f,+0.02470873836336094f,-0.07082037296251543f,-0.00621987869853545f}
+
+#define RMATRIXROW {0.01439621349781126f,-0.04697393442028135f,-0.03018604392150223f,0.09765990436118642f,0.01606884471097247f,\
+-0.00604250542333471f,0.02870576510687836f,-0.04985742926427023f,0.12356001472881707f,0.05909180726174274f}
+
+#define IMATRIXCOL {-0.01904810719805961f,+0.04121453132770223f,+0.00378553967089328f,\
++0.10307670507342410f,+0.03497427750676810f,+0.01761849804019567f,-0.10182321471060848f}
+
+#define RMATRIXCOL {-0.02739893277693160f,0.01792852626358409f,-0.02205084134302381f,\
+-0.01012610864032573f,0.07317682977907164f,0.04762062457313784f,0.00849011627117621f}
+
+
+static void svariancesTest (void ) {
+
+ float toTest = svariances (SINGLE) ;
+
+ assert ( fabs ( toTest - SINGLE ) / fabs( toTest) < 1e-06 ) ;
+}
+
+
+static void srowvariancesTest (void ) {
+
+ float toTest = srowvariances (SINGLE) ;
+
+ assert ( fabs ( toTest - SINGLE ) / fabs( toTest) < 1e-06 ) ;
+}
+
+static void scolumnvariancesTest (void) {
+
+ float toTest = scolumnvariances (SINGLE) ;
+
+ assert ( fabs ( toTest - SINGLE ) / fabs( toTest) < 1e-06 ) ;
+}
+
+
+static void cvariancesTest (void ) {
+
+ floatComplex toTest = cvariances ( FloatComplex ( SINGLE , SINGLE ) );
+
+ assert ( fabs ( creals( toTest) - SINGLE ) / fabs( creals( toTest)) < 1e-06 ) ;
+ assert ( fabs ( cimags( toTest) - SINGLE ) / fabs( cimags( toTest)) < 1e-06 ) ;
+}
+
+static void crowvariancesTest (void ) {
+
+ floatComplex toTest = crowvariances ( FloatComplex ( SINGLE , SINGLE ) );
+
+ assert ( fabs ( creals( toTest) - SINGLE ) / fabs( creals( toTest)) < 1e-06 ) ;
+ assert ( fabs ( cimags( toTest) - SINGLE ) / fabs( cimags( toTest)) < 1e-06 ) ;
+}
+
+static void ccolumnvariancesTest (void ) {
+
+ floatComplex toTest = crowvariances ( FloatComplex ( SINGLE , SINGLE ) );
+
+ assert ( fabs ( creals( toTest) - SINGLE ) / fabs( creals( toTest)) < 1e-06 ) ;
+ assert ( fabs ( cimags( toTest) - SINGLE ) / fabs( cimags( toTest)) < 1e-06 ) ;
+}
+
+
+
+
+
+
+static void svarianceaTest ( void){
+
+ float mtoTest[] = MATRIX ;
+ float result = 0.100753297434f;
+ float out = svariancea ( mtoTest , LINES*COLUMNS ); ;
+
+
+
+ printf ( "out : %e\t result : %e\t\n" , out , result ) ;
+
+
+
+ assert ( fabs ( out - result ) / fabs( out ) < 1e-06 ) ;
+
+}
+
+
+static void srowvarianceaTest ( void )
+{
+ int i = 0 ;
+
+ float mtoTest[] = MATRIX ;
+ float result[COLUMNS] = MATRIXROW ;
+ float out[COLUMNS] ;
+
+ srowvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+ for ( i = 0 ; i < COLUMNS ; i++)
+ {
+ printf ( "ROWout : %e\t result : %e\t\n" , out[i] , result [i] ) ;
+ assert ( fabs ( out[i] - result[i] ) / fabs( out[i] ) < 1e-06 ) ;
+ }
+
+}
+
+static void scolumnvarianceaTest ( void )
+{
+ int i = 0 ;
+
+ float mtoTest[] = MATRIX ;
+ float result[LINES] = MATRIXCOL ;
+ float out[ LINES] ;
+
+
+
+ scolumnvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+ for ( i = 0 ; i < LINES ; i++)
+ {
+ printf ( "%dCOLout : %e\t result : %e\t\n" ,i, out[i] , result [i] ) ;
+ assert ( fabs ( out[i] - result[i] ) / fabs( out[i] ) < 1e-06 ) ;
+ }
+
+}
+
+
+
+
+static void cvarianceaTest ( void){
+
+ float rmtoTest [] = RMATRIX ;
+ float imtoTest [] = IMATRIX ;
+ floatComplex Result = FloatComplex ( 0.01225832057910708f , 0.01071188208687752f );
+
+ floatComplex* mtoTest = FloatComplexMatrix ( rmtoTest , imtoTest , LINES*COLUMNS ) ;
+ floatComplex out = cvariancea ( mtoTest , LINES*COLUMNS ); ;
+
+ assert ( fabs( creals(out) - creals (Result) ) / fabs (creals (out)) < 1e-06 );
+ assert( fabs( cimags(out) - cimags (Result )) / fabs (cimags (out)) < 1e-06 );
+
+
+}
+
+static void crowvarianceaTest (void ) {
+
+ int i = 0 ;
+
+ float rmtoTest [] = RMATRIX ;
+ float imtoTest [] = IMATRIX ;
+ float rResult [] = RMATRIXROW;
+ float iResult [] = IMATRIXROW ;
+
+ floatComplex out[COLUMNS];
+ floatComplex* mtoTest = FloatComplexMatrix ( rmtoTest , imtoTest , LINES*COLUMNS ) ;
+ floatComplex* Result = FloatComplexMatrix ( rResult , iResult , COLUMNS );
+
+ crowvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+ /*FIXME test failed under 1-e04 precision */
+ for ( i = 0 ; i < COLUMNS ; i++)
+ {
+ printf ( "%d out : %e %e \t result %e %e \n" , i , creals(out[i]) , cimags(out[i]), creals(Result[i]) ,cimags( Result[i]));
+ assert ( fabs( creals(out[i]) - creals (Result[i]) ) / fabs (creals (out[i])) < 1e-04 );
+ assert( fabs( cimags(out[i]) - cimags (Result[i])) / fabs (cimags (out[i])) < 1e-04);
+
+ }
+}
+
+
+
+static void ccolumnvarianceaTest ( void) {
+ int i = 0 ;
+
+ float rmtoTest [] = RMATRIX ;
+ float imtoTest [] = IMATRIX ;
+ float rResult [] = RMATRIXCOL;
+ float iResult [] = IMATRIXCOL ;
+
+ floatComplex out[LINES];
+ floatComplex* mtoTest = FloatComplexMatrix ( rmtoTest , imtoTest , LINES*COLUMNS ) ;
+ floatComplex* Result = FloatComplexMatrix ( rResult , iResult , LINES );
+
+ ccolumnvariancea ( mtoTest , LINES , COLUMNS , out ) ;
+
+
+ for ( i = 0 ; i < LINES ; i++)
+ {
+ printf ( "%d out : %e %e \t result %e %e \n" , i , creals(out[i]) , cimags(out[i]), creals(Result[i]) ,cimags( Result[i]));
+ assert ( fabs( creals(out[i]) - creals (Result[i]) ) / fabs (creals (out[i])) < 1e-06 );
+ assert( fabs( cimags(out[i]) - cimags (Result[i])) / fabs (cimags (out[i])) < 1e-06);
+
+ }
+
+
+
+}
+
+
+
+
+
+static int testFloatVariance (void) {
+ printf("\n\n\n\n*********************\n");
+ printf("***** Float Tests ****\n");
+ printf("*********************\n");
+
+ printf("\n\t>>>>singleton real Tests\n");
+ scolumnvariancesTest () ;
+ svariancesTest () ;
+ srowvariancesTest () ;
+
+
+ printf("\n\t>>>>singleton complex Tests\n");
+
+ crowvariancesTest () ;
+ ccolumnvariancesTest () ;
+ cvariancesTest () ;
+
+
+
+ printf("\n\t>>>>array real Tests\n");
+
+ svarianceaTest () ;
+
+ scolumnvarianceaTest () ;
+ srowvarianceaTest ( );
+
+
+ printf("\n\t>>>>array complex Tests\n");
+
+ cvarianceaTest () ;
+ crowvarianceaTest ( );
+ ccolumnvarianceaTest () ;
+
+
+ return 0;
+}
+
+int main(void) {
+ assert(testFloatVariance () == 0);
+ return 0;
+}
diff --git a/src/statisticsFunctions/variance/zcolumnvariancea.c b/src/statisticsFunctions/variance/zcolumnvariancea.c
new file mode 100644
index 00000000..a8dd60aa
--- /dev/null
+++ b/src/statisticsFunctions/variance/zcolumnvariancea.c
@@ -0,0 +1,31 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void zcolumnvariancea(doubleComplex *in, int lines, int columns, doubleComplex* out){
+
+
+ int i = 0 ;
+
+
+ doubleComplex* mean = (doubleComplex*) malloc( sizeof (doubleComplex) * (unsigned int) lines );
+
+
+ for ( i = 0; i < lines ; i++)
+ out[i] = zvariancea ( in + i*columns , columns ) ;
+
+ free ( mean );
+
+}
+
diff --git a/src/statisticsFunctions/variance/zrowvariancea.c b/src/statisticsFunctions/variance/zrowvariancea.c
new file mode 100644
index 00000000..00965530
--- /dev/null
+++ b/src/statisticsFunctions/variance/zrowvariancea.c
@@ -0,0 +1,39 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+void zrowvariancea(doubleComplex *in, int lines, int columns, doubleComplex* out){
+
+ int i = 0 ;
+
+
+
+ doubleComplex* mean = (doubleComplex*) malloc( sizeof (doubleComplex) * (unsigned int) columns );
+ doubleComplex* transp = (doubleComplex*) malloc ( sizeof (doubleComplex) *(unsigned int) (lines*columns));
+ /*FIXME : NEED TO REVIEW TRANSPOSE COMPLEX FONCTIONS , they need to not do the conjugate
+ automaticaly */
+ ztransposea ( in , lines , columns , transp ) ;
+
+ for ( i = 0 ; i < columns *lines ; i++)
+ transp[i] = DoubleComplex ( zreals (transp[i] ) ,- zimags(transp[i]));
+
+ for ( i = 0; i < columns ; i++)
+ {
+
+
+ out[i] = zvariancea ( transp + i*lines , lines ) ;
+ }
+
+ free (transp);
+ free ( mean );
+}
diff --git a/src/statisticsFunctions/variance/zvariancea.c b/src/statisticsFunctions/variance/zvariancea.c
new file mode 100644
index 00000000..57d4bcf8
--- /dev/null
+++ b/src/statisticsFunctions/variance/zvariancea.c
@@ -0,0 +1,50 @@
+/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Allan SIMON
+ *
+ * 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 "variance.h"
+
+doubleComplex zvariancea(doubleComplex *in, int size)
+{
+ int i = 0 ;
+
+ /*here sumcis used to compensate the possible round off error to a less
+ important degree */
+
+ doubleComplex sum = DoubleComplex ( 0 , 0 ) ;
+ doubleComplex temp = DoubleComplex ( 0 , 0 ) ;
+ doubleComplex sumc = DoubleComplex ( 0 , 0 ) ;
+ doubleComplex variance = DoubleComplex ( 0 , 0 );
+ doubleComplex mean = zmeana ( in , size ) ;
+
+ for ( i = 0 ; i < size ; i++)
+ {
+
+ temp = zdiffs( in[i] , mean ) ;
+ sum = zadds ( sum , zpows ( temp , DoubleComplex ( 2, 0) ) );
+ sumc = zadds ( sumc , temp );
+ printf ( "%d r : %e i : %e\n" , i , zreals(in[i]) , zimags (in[i]));
+ }
+ printf ( "\n\n" ) ;
+ /*we don't use sumc if equal to 0 otherwise we would have "nan" */
+ if ( fabs ( zreals ( sumc)) > 1e-16 || fabs ( zimags ( sumc)) > 1e-16 )
+ {
+ variance = zpows ( sumc ,DoubleComplex (2 , 0)) ;
+ variance = zdevides ( variance , DoubleComplex ( size , 0 ) ) ;
+ variance = zdiffs ( sum , variance );
+ variance = zdevides (variance , DoubleComplex ( (size - 1),0 ));
+ }
+ else
+ variance = zdevides (sum , DoubleComplex ( (size - 1),0 ));
+
+ return variance ;
+}
+