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-rw-r--r--plug-ins/selection-to-path/Makefile.am73
-rw-r--r--plug-ins/selection-to-path/Makefile.in1057
-rw-r--r--plug-ins/selection-to-path/README51
-rw-r--r--plug-ins/selection-to-path/README.limn56
-rw-r--r--plug-ins/selection-to-path/bitmap.h112
-rw-r--r--plug-ins/selection-to-path/bounding-box.h63
-rw-r--r--plug-ins/selection-to-path/curve.c184
-rw-r--r--plug-ins/selection-to-path/curve.h157
-rw-r--r--plug-ins/selection-to-path/edge.c268
-rw-r--r--plug-ins/selection-to-path/edge.h59
-rw-r--r--plug-ins/selection-to-path/fit.c1967
-rw-r--r--plug-ins/selection-to-path/fit.h54
-rw-r--r--plug-ins/selection-to-path/global.h213
-rw-r--r--plug-ins/selection-to-path/math.c177
-rw-r--r--plug-ins/selection-to-path/pxl-outline.c254
-rw-r--r--plug-ins/selection-to-path/pxl-outline.h68
-rw-r--r--plug-ins/selection-to-path/selection-to-path-dialog.c403
-rw-r--r--plug-ins/selection-to-path/selection-to-path.c536
-rw-r--r--plug-ins/selection-to-path/selection-to-path.h37
-rw-r--r--plug-ins/selection-to-path/spline.c233
-rw-r--r--plug-ins/selection-to-path/spline.h124
-rw-r--r--plug-ins/selection-to-path/types.h147
-rw-r--r--plug-ins/selection-to-path/vector.c249
-rw-r--r--plug-ins/selection-to-path/vector.h95
24 files changed, 6637 insertions, 0 deletions
diff --git a/plug-ins/selection-to-path/Makefile.am b/plug-ins/selection-to-path/Makefile.am
new file mode 100644
index 0000000..e27d85e
--- /dev/null
+++ b/plug-ins/selection-to-path/Makefile.am
@@ -0,0 +1,73 @@
+## Process this file with automake to produce Makefile.in
+
+if OS_WIN32
+mwindows = -mwindows
+else
+libm = -lm
+endif
+
+libgimpui = $(top_builddir)/libgimp/libgimpui-$(GIMP_API_VERSION).la
+libgimpconfig = $(top_builddir)/libgimpconfig/libgimpconfig-$(GIMP_API_VERSION).la
+libgimpwidgets = $(top_builddir)/libgimpwidgets/libgimpwidgets-$(GIMP_API_VERSION).la
+libgimp = $(top_builddir)/libgimp/libgimp-$(GIMP_API_VERSION).la
+libgimpcolor = $(top_builddir)/libgimpcolor/libgimpcolor-$(GIMP_API_VERSION).la
+libgimpbase = $(top_builddir)/libgimpbase/libgimpbase-$(GIMP_API_VERSION).la
+libgimpmath = $(top_builddir)/libgimpmath/libgimpmath-$(GIMP_API_VERSION).la
+
+if HAVE_WINDRES
+include $(top_srcdir)/build/windows/gimprc-plug-ins.rule
+selection_to_path_RC = selection-to-path.rc.o
+endif
+
+AM_LDFLAGS = $(mwindows)
+
+libexecdir = $(gimpplugindir)/plug-ins/selection-to-path
+
+libexec_PROGRAMS = selection-to-path
+
+selection_to_path_SOURCES = \
+ bitmap.h \
+ bounding-box.h \
+ curve.c \
+ curve.h \
+ edge.c \
+ edge.h \
+ fit.c \
+ fit.h \
+ global.h \
+ math.c \
+ pxl-outline.c \
+ pxl-outline.h \
+ selection-to-path.c \
+ selection-to-path.h \
+ selection-to-path-dialog.c \
+ spline.c \
+ spline.h \
+ types.h \
+ vector.c \
+ vector.h
+
+EXTRA_DIST = \
+ README \
+ README.limn
+
+AM_CPPFLAGS = \
+ -I$(top_srcdir) \
+ $(GTK_CFLAGS) \
+ $(GEGL_CFLAGS) \
+ -I$(includedir)
+
+LDADD = \
+ $(libm) \
+ $(libgimpui) \
+ $(libgimpwidgets) \
+ $(libgimpconfig) \
+ $(libgimpmath) \
+ $(libgimp) \
+ $(libgimpcolor) \
+ $(libgimpbase) \
+ $(GTK_LIBS) \
+ $(GEGL_LIBS) \
+ $(RT_LIBS) \
+ $(INTLLIBS) \
+ $(selection_to_path_RC)
diff --git a/plug-ins/selection-to-path/Makefile.in b/plug-ins/selection-to-path/Makefile.in
new file mode 100644
index 0000000..2ac5eba
--- /dev/null
+++ b/plug-ins/selection-to-path/Makefile.in
@@ -0,0 +1,1057 @@
+# Makefile.in generated by automake 1.16.3 from Makefile.am.
+# @configure_input@
+
+# Copyright (C) 1994-2020 Free Software Foundation, Inc.
+
+# This Makefile.in is free software; the Free Software Foundation
+# gives unlimited permission to copy and/or distribute it,
+# with or without modifications, as long as this notice is preserved.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY, to the extent permitted by law; without
+# even the implied warranty of MERCHANTABILITY or FITNESS FOR A
+# PARTICULAR PURPOSE.
+
+@SET_MAKE@
+
+# Version resources for Microsoft Windows
+
+VPATH = @srcdir@
+am__is_gnu_make = { \
+ if test -z '$(MAKELEVEL)'; then \
+ false; \
+ elif test -n '$(MAKE_HOST)'; then \
+ true; \
+ elif test -n '$(MAKE_VERSION)' && test -n '$(CURDIR)'; then \
+ true; \
+ else \
+ false; \
+ fi; \
+}
+am__make_running_with_option = \
+ case $${target_option-} in \
+ ?) ;; \
+ *) echo "am__make_running_with_option: internal error: invalid" \
+ "target option '$${target_option-}' specified" >&2; \
+ exit 1;; \
+ esac; \
+ has_opt=no; \
+ sane_makeflags=$$MAKEFLAGS; \
+ if $(am__is_gnu_make); then \
+ sane_makeflags=$$MFLAGS; \
+ else \
+ case $$MAKEFLAGS in \
+ *\\[\ \ ]*) \
+ bs=\\; \
+ sane_makeflags=`printf '%s\n' "$$MAKEFLAGS" \
+ | sed "s/$$bs$$bs[$$bs $$bs ]*//g"`;; \
+ esac; \
+ fi; \
+ skip_next=no; \
+ strip_trailopt () \
+ { \
+ flg=`printf '%s\n' "$$flg" | sed "s/$$1.*$$//"`; \
+ }; \
+ for flg in $$sane_makeflags; do \
+ test $$skip_next = yes && { skip_next=no; continue; }; \
+ case $$flg in \
+ *=*|--*) continue;; \
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+ -*l) strip_trailopt 'l'; skip_next=yes;; \
+ -*l?*) strip_trailopt 'l';; \
+ -[dEDm]) skip_next=yes;; \
+ -[JT]) skip_next=yes;; \
+ esac; \
+ case $$flg in \
+ *$$target_option*) has_opt=yes; break;; \
+ esac; \
+ done; \
+ test $$has_opt = yes
+am__make_dryrun = (target_option=n; $(am__make_running_with_option))
+am__make_keepgoing = (target_option=k; $(am__make_running_with_option))
+pkgdatadir = $(datadir)/@PACKAGE@
+pkgincludedir = $(includedir)/@PACKAGE@
+pkglibdir = $(libdir)/@PACKAGE@
+pkglibexecdir = $(libexecdir)/@PACKAGE@
+am__cd = CDPATH="$${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 = $(program_transform_name)
+NORMAL_INSTALL = :
+PRE_INSTALL = :
+POST_INSTALL = :
+NORMAL_UNINSTALL = :
+PRE_UNINSTALL = :
+POST_UNINSTALL = :
+build_triplet = @build@
+host_triplet = @host@
+libexec_PROGRAMS = selection-to-path$(EXEEXT)
+subdir = plug-ins/selection-to-path
+ACLOCAL_M4 = $(top_srcdir)/aclocal.m4
+am__aclocal_m4_deps = $(top_srcdir)/acinclude.m4 \
+ $(top_srcdir)/m4macros/alsa.m4 \
+ $(top_srcdir)/m4macros/ax_compare_version.m4 \
+ $(top_srcdir)/m4macros/ax_cxx_compile_stdcxx.m4 \
+ $(top_srcdir)/m4macros/ax_gcc_func_attribute.m4 \
+ $(top_srcdir)/m4macros/ax_prog_cc_for_build.m4 \
+ $(top_srcdir)/m4macros/ax_prog_perl_version.m4 \
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+ $(top_srcdir)/m4macros/pythondev.m4 $(top_srcdir)/configure.ac
+am__configure_deps = $(am__aclocal_m4_deps) $(CONFIGURE_DEPENDENCIES) \
+ $(ACLOCAL_M4)
+DIST_COMMON = $(srcdir)/Makefile.am $(am__DIST_COMMON)
+mkinstalldirs = $(install_sh) -d
+CONFIG_HEADER = $(top_builddir)/config.h
+CONFIG_CLEAN_FILES =
+CONFIG_CLEAN_VPATH_FILES =
+am__installdirs = "$(DESTDIR)$(libexecdir)"
+PROGRAMS = $(libexec_PROGRAMS)
+am_selection_to_path_OBJECTS = curve.$(OBJEXT) edge.$(OBJEXT) \
+ fit.$(OBJEXT) math.$(OBJEXT) pxl-outline.$(OBJEXT) \
+ selection-to-path.$(OBJEXT) selection-to-path-dialog.$(OBJEXT) \
+ spline.$(OBJEXT) vector.$(OBJEXT)
+selection_to_path_OBJECTS = $(am_selection_to_path_OBJECTS)
+selection_to_path_LDADD = $(LDADD)
+am__DEPENDENCIES_1 =
+selection_to_path_DEPENDENCIES = $(am__DEPENDENCIES_1) $(libgimpui) \
+ $(libgimpwidgets) $(libgimpconfig) $(libgimpmath) $(libgimp) \
+ $(libgimpcolor) $(libgimpbase) $(am__DEPENDENCIES_1) \
+ $(am__DEPENDENCIES_1) $(am__DEPENDENCIES_1) \
+ $(am__DEPENDENCIES_1) $(selection_to_path_RC)
+AM_V_lt = $(am__v_lt_@AM_V@)
+am__v_lt_ = $(am__v_lt_@AM_DEFAULT_V@)
+am__v_lt_0 = --silent
+am__v_lt_1 =
+AM_V_P = $(am__v_P_@AM_V@)
+am__v_P_ = $(am__v_P_@AM_DEFAULT_V@)
+am__v_P_0 = false
+am__v_P_1 = :
+AM_V_GEN = $(am__v_GEN_@AM_V@)
+am__v_GEN_ = $(am__v_GEN_@AM_DEFAULT_V@)
+am__v_GEN_0 = @echo " GEN " $@;
+am__v_GEN_1 =
+AM_V_at = $(am__v_at_@AM_V@)
+am__v_at_ = $(am__v_at_@AM_DEFAULT_V@)
+am__v_at_0 = @
+am__v_at_1 =
+DEFAULT_INCLUDES = -I.@am__isrc@ -I$(top_builddir)
+depcomp = $(SHELL) $(top_srcdir)/depcomp
+am__maybe_remake_depfiles = depfiles
+am__depfiles_remade = ./$(DEPDIR)/curve.Po ./$(DEPDIR)/edge.Po \
+ ./$(DEPDIR)/fit.Po ./$(DEPDIR)/math.Po \
+ ./$(DEPDIR)/pxl-outline.Po \
+ ./$(DEPDIR)/selection-to-path-dialog.Po \
+ ./$(DEPDIR)/selection-to-path.Po ./$(DEPDIR)/spline.Po \
+ ./$(DEPDIR)/vector.Po
+am__mv = mv -f
+COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \
+ $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS)
+LTCOMPILE = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
+ $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) \
+ $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) \
+ $(AM_CFLAGS) $(CFLAGS)
+AM_V_CC = $(am__v_CC_@AM_V@)
+am__v_CC_ = $(am__v_CC_@AM_DEFAULT_V@)
+am__v_CC_0 = @echo " CC " $@;
+am__v_CC_1 =
+CCLD = $(CC)
+LINK = $(LIBTOOL) $(AM_V_lt) --tag=CC $(AM_LIBTOOLFLAGS) \
+ $(LIBTOOLFLAGS) --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) \
+ $(AM_LDFLAGS) $(LDFLAGS) -o $@
+AM_V_CCLD = $(am__v_CCLD_@AM_V@)
+am__v_CCLD_ = $(am__v_CCLD_@AM_DEFAULT_V@)
+am__v_CCLD_0 = @echo " CCLD " $@;
+am__v_CCLD_1 =
+SOURCES = $(selection_to_path_SOURCES)
+DIST_SOURCES = $(selection_to_path_SOURCES)
+am__can_run_installinfo = \
+ case $$AM_UPDATE_INFO_DIR in \
+ n|no|NO) false;; \
+ *) (install-info --version) >/dev/null 2>&1;; \
+ esac
+am__tagged_files = $(HEADERS) $(SOURCES) $(TAGS_FILES) $(LISP)
+# Read a list of newline-separated strings from the standard input,
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+ BEGIN { nonempty = 0; } \
+ { items[$$0] = 1; nonempty = 1; } \
+ END { if (nonempty) { for (i in items) print i; }; } \
+'
+# Make sure the list of sources is unique. This is necessary because,
+# e.g., the same source file might be shared among _SOURCES variables
+# for different programs/libraries.
+am__define_uniq_tagged_files = \
+ list='$(am__tagged_files)'; \
+ unique=`for i in $$list; do \
+ if test -f "$$i"; then echo $$i; else echo $(srcdir)/$$i; fi; \
+ done | $(am__uniquify_input)`
+ETAGS = etags
+CTAGS = ctags
+am__DIST_COMMON = $(srcdir)/Makefile.in \
+ $(top_srcdir)/build/windows/gimprc-plug-ins.rule \
+ $(top_srcdir)/depcomp README
+DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST)
+AA_LIBS = @AA_LIBS@
+ACLOCAL = @ACLOCAL@
+ALLOCA = @ALLOCA@
+ALL_LINGUAS = @ALL_LINGUAS@
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+ $(MAKE) $(AM_MAKEFLAGS) distdir-am
+
+distdir-am: $(DISTFILES)
+ @srcdirstrip=`echo "$(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
+check: check-am
+all-am: Makefile $(PROGRAMS)
+installdirs:
+ for dir in "$(DESTDIR)$(libexecdir)"; 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) $(AM_MAKEFLAGS) install-exec-am install-data-am
+
+installcheck: installcheck-am
+install-strip:
+ if test -z '$(STRIP)'; then \
+ $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \
+ install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \
+ install; \
+ else \
+ $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \
+ install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \
+ "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'" install; \
+ fi
+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 $(CONFIG_CLEAN_VPATH_FILES)
+
+maintainer-clean-generic:
+ @echo "This command is intended for maintainers to use"
+ @echo "it deletes files that may require special tools to rebuild."
+clean: clean-am
+
+clean-am: clean-generic clean-libexecPROGRAMS clean-libtool \
+ mostlyclean-am
+
+distclean: distclean-am
+ -rm -f ./$(DEPDIR)/curve.Po
+ -rm -f ./$(DEPDIR)/edge.Po
+ -rm -f ./$(DEPDIR)/fit.Po
+ -rm -f ./$(DEPDIR)/math.Po
+ -rm -f ./$(DEPDIR)/pxl-outline.Po
+ -rm -f ./$(DEPDIR)/selection-to-path-dialog.Po
+ -rm -f ./$(DEPDIR)/selection-to-path.Po
+ -rm -f ./$(DEPDIR)/spline.Po
+ -rm -f ./$(DEPDIR)/vector.Po
+ -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
+
+install-dvi-am:
+
+install-exec-am: install-libexecPROGRAMS
+
+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 -f ./$(DEPDIR)/curve.Po
+ -rm -f ./$(DEPDIR)/edge.Po
+ -rm -f ./$(DEPDIR)/fit.Po
+ -rm -f ./$(DEPDIR)/math.Po
+ -rm -f ./$(DEPDIR)/pxl-outline.Po
+ -rm -f ./$(DEPDIR)/selection-to-path-dialog.Po
+ -rm -f ./$(DEPDIR)/selection-to-path.Po
+ -rm -f ./$(DEPDIR)/spline.Po
+ -rm -f ./$(DEPDIR)/vector.Po
+ -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-libexecPROGRAMS
+
+.MAKE: install-am install-strip
+
+.PHONY: CTAGS GTAGS TAGS all all-am am--depfiles check check-am clean \
+ clean-generic clean-libexecPROGRAMS clean-libtool \
+ cscopelist-am ctags ctags-am 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-libexecPROGRAMS \
+ install-man install-pdf install-pdf-am 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 tags-am uninstall \
+ uninstall-am uninstall-libexecPROGRAMS
+
+.PRECIOUS: Makefile
+
+
+# `windres` seems a very stupid tool and it breaks with double shlashes
+# in parameter paths. Strengthen the rule a little.
+@HAVE_WINDRES_TRUE@%.rc.o:
+@HAVE_WINDRES_TRUE@ $(WINDRES) --define ORIGINALFILENAME_STR="$*$(EXEEXT)" \
+@HAVE_WINDRES_TRUE@ --define INTERNALNAME_STR="$*" \
+@HAVE_WINDRES_TRUE@ --define TOP_SRCDIR="`echo $(top_srcdir) | sed 's*//*/*'`" \
+@HAVE_WINDRES_TRUE@ -I"`echo $(top_srcdir)/app | sed 's%/\+%/%'`" \
+@HAVE_WINDRES_TRUE@ -I"`echo $(top_builddir)/app | sed 's%/\+%/%'`"\
+@HAVE_WINDRES_TRUE@ -I"`echo $(top_builddir) | sed 's%/\+%/%'`"\
+@HAVE_WINDRES_TRUE@ $(GIMPPLUGINRC) $@
+
+# 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/plug-ins/selection-to-path/README b/plug-ins/selection-to-path/README
new file mode 100644
index 0000000..80fa1c0
--- /dev/null
+++ b/plug-ins/selection-to-path/README
@@ -0,0 +1,51 @@
+
+
+Andy Thomas (alt@gimp.org) 9th July 1999
+
+
+This plug-in will take a selection and convert it into a path.
+For the purpose of the plug-in the selection boundary is defined
+in a similar manner to that worked out for the "marching ants" markers
+of the selection. I think this gives the best user feel/feedback since
+the created path "follows" the "marching ants".
+
+I cannot claim responsibility for the underlying algorithms. These
+were taken directly from the GNU font utilities (the "limn" program
+in particular) written by Karl Berry and Kathryn Hargreaves.
+
+Their email addresses quoted in the README are:-
+
+Karl Berry karl@cs.umb.edu
+Kathryn Hargreaves letters@cs.umb.edu
+
+Please see fontutils-0.6 package for more details. I have included the
+README from the limn part of the package.
+
+I thank Karl & Kathryn for producing such a well written set of utilities.
+
+I have just added a gimp front-end onto them.
+
+
+How to use it.
+~~~~~~~~~~~~~~
+
+Simply select an area and then select either "<Image>/Selection/To Path"
+menu item or the "Selection To Image" button in the paths dialog. The new
+path will be created. Currently if the LCP dialog has not been activated
+then the path will not be visible... A bug I have just found - simply
+bring up the LCP dialog and select the Paths tab to see the newly created
+path.
+
+An additional function can be obtained by having the "Shift" modifier pressed
+while using the button in the paths dialog. This will pop-up a "power-users"
+menu where the parameters to the underlying algorithms can be modified.
+WARNING:- Some values may cause the plugin to enter extremely long operations.
+You have been warned.
+
+Have fun!
+
+
+Andy.
+
+PS. Please direct any bugs etc found in this plugin to either
+myself or the gimp-developer mailing list. Thank.
diff --git a/plug-ins/selection-to-path/README.limn b/plug-ins/selection-to-path/README.limn
new file mode 100644
index 0000000..3e0e568
--- /dev/null
+++ b/plug-ins/selection-to-path/README.limn
@@ -0,0 +1,56 @@
+This program converts bitmap fonts to a homegrown outline format, bezier
+(BZR). The program `bzrto' converts that format to something usable for
+typesetting.
+
+We used two main sources in writing the program:
+
+@mastersthesis{Schneider:PIC-88,
+ author = "Philip J. Schneider",
+ title = "Phoenix: An Interactive Curve Design System Based on the
+ Automatic Fitting of Hand-Sketched Curves",
+ school = inst-u-wash,
+ year = 1988,
+}
+
+@article{Plass:CG-17-229,
+ author = "Michael Plass and Maureen Stone",
+ title = "Curve-fitting with Piecewise Parametric Cubics",
+ journal = j-comp-graphics,
+ year = 1983,
+ volume = 17,
+ number = 3,
+ month = jul,
+ pages = "229-239",
+}
+
+We had access to the code for Phoenix, thanks to Philip, but none of our
+code is based on his (mostly because his task was allow interactive
+sketching, and ours to fit bitmap characters, and the two require
+different data structures). The general outline of the fitting
+algorithm does come from Phoenix.
+
+We also found this article helpful:
+
+@Inproceedings{Gonczarowski:RIDT91-1,
+ author = "Jakob Gonczarowski",
+ title = "A Fast Approach to Auto-tracing (with Parametric
+ Cubics)",
+ pages = "1--15",
+ crossref = "Morris:RIDT91",
+ acknowledgement = ack-kb,
+}
+
+@String{proc-RIDT91 = "Raster Imaging and Digital Typography II"}
+
+@Proceedings{Morris:RIDT91,
+ title = proc-RIDT91,
+ booktitle = proc-RIDT91,
+ year = "1991",
+ editor = "Robert A. Morris and Jacques Andr{\'e}",
+ publisher = pub-CUP,
+ address = pub-CUP:adr,
+ acknowledgement = ack-kb,
+}
+
+(These BibTeX entries are from the type.bib and ep.bib files on
+math.utah.edu:pub/tex/bib.)
diff --git a/plug-ins/selection-to-path/bitmap.h b/plug-ins/selection-to-path/bitmap.h
new file mode 100644
index 0000000..98c89ac
--- /dev/null
+++ b/plug-ins/selection-to-path/bitmap.h
@@ -0,0 +1,112 @@
+/* bitmap.h: definition for a bitmap type. No packing is done by
+ * default; each pixel is represented by an entire byte. Among other
+ * things, this means the type can be used for both grayscale and binary
+ * images.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef BITMAP_H
+#define BITMAP_H
+
+#include <stdio.h>
+#include "bounding-box.h"
+#include "types.h"
+
+
+/* If the bitmap holds 8-bit values, rather than one-bit, the
+ definition of BLACK here is wrong. So don't use it in that case! */
+#define WHITE 0
+#define BLACK 1
+
+
+/* The basic structure and macros to access it. */
+typedef struct
+{
+ dimensions_type dimensions;
+ one_byte *bitmap;
+} bitmap_type;
+
+/* The dimensions of the bitmap, in pixels. */
+#define BITMAP_DIMENSIONS(b) ((b).dimensions)
+
+/* The pixels, represented as an array of bytes (in contiguous storage).
+ Each pixel is a single byte, even for binary fonts. */
+#define BITMAP_BITS(b) ((b).bitmap)
+
+/* These are convenient abbreviations for getting inside the members. */
+#define BITMAP_WIDTH(b) DIMENSIONS_WIDTH (BITMAP_DIMENSIONS (b))
+#define BITMAP_HEIGHT(b) DIMENSIONS_HEIGHT (BITMAP_DIMENSIONS (b))
+
+/* This is the address of the first pixel in the row ROW. */
+#define BITMAP_ROW(b, row) (BITMAP_BITS (b) + (row) * BITMAP_WIDTH (b))
+
+/* This is the pixel at [ROW,COL]. */
+#define BITMAP_PIXEL(b, row, col) \
+ (*(BITMAP_BITS (b) + (row) * BITMAP_WIDTH (b) + (col)))
+
+#define BITMAP_VALID_PIXEL(b, row, col) \
+ (0 <= (row) && (row) < BITMAP_HEIGHT (b) \
+ && 0 <= (col) && (col) < BITMAP_WIDTH (b))
+
+/* Assume that the pixel at [ROW,COL] itself is black. */
+
+#define BITMAP_INTERIOR_PIXEL(b, row, col) \
+ (0 != (row) && (row) != BITMAP_HEIGHT (b) - 1 \
+ && 0 != (col) && (col) != BITMAP_WIDTH (b) - 1 \
+ && BITMAP_PIXEL (b, row - 1, col - 1) == BLACK \
+ && BITMAP_PIXEL (b, row - 1, col) == BLACK \
+ && BITMAP_PIXEL (b, row - 1, col + 1) == BLACK \
+ && BITMAP_PIXEL (b, row, col - 1) == BLACK \
+ && BITMAP_PIXEL (b, row, col + 1) == BLACK \
+ && BITMAP_PIXEL (b, row + 1, col - 1) == BLACK \
+ && BITMAP_PIXEL (b, row + 1, col) == BLACK \
+ && BITMAP_PIXEL (b, row + 1, col + 1) == BLACK)
+
+/* Allocate storage for the bits, set them all to white, and return an
+ initialized structure. */
+extern bitmap_type new_bitmap (dimensions_type);
+
+/* Free that storage. */
+extern void free_bitmap (bitmap_type *);
+
+/* Make a fresh copy of BITMAP in a new structure, and return it. */
+extern bitmap_type copy_bitmap (bitmap_type bitmap);
+
+/* Return the pixels in the bitmap B enclosed by the bounding box BB.
+ The result is put in newly allocated storage. */
+extern bitmap_type extract_subbitmap (bitmap_type b, bounding_box_type bb);
+
+/* Consider the dimensions of a bitmap as a bounding box. The bounding
+ box returned is in bitmap coordinates, rather than Cartesian, and
+ refers to pixels, rather than edges. Specifically, this means that
+ the maximum column is one less than results from `dimensions_to_bb
+ (BITMAP_DIMENSIONS ())'. */
+extern bounding_box_type bitmap_to_bb (const bitmap_type);
+
+/* Return a vector of zero-based column numbers marking transitions from
+ black to white or white to black in ROW, which is of length WIDTH.
+ The end of the vector is marked with an element of length WIDTH + 1.
+ The first element always marks a white-to-black transition (or it's
+ 0, if the first pixel in ROW is black). */
+extern unsigned *bitmap_find_transitions (const one_byte *row, unsigned width);
+
+/* Print part of or all of a bitmap. */
+extern void print_bounded_bitmap (FILE *, bitmap_type, bounding_box_type);
+extern void print_bitmap (FILE *, bitmap_type);
+
+#endif /* not BITMAP_H */
+
diff --git a/plug-ins/selection-to-path/bounding-box.h b/plug-ins/selection-to-path/bounding-box.h
new file mode 100644
index 0000000..54f1e71
--- /dev/null
+++ b/plug-ins/selection-to-path/bounding-box.h
@@ -0,0 +1,63 @@
+/* bounding-box.h: operations on both real- and integer-valued bounding boxes.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef BOUNDING_BOX_H
+#define BOUNDING_BOX_H
+
+#include "types.h"
+
+
+/* The bounding box's numbers are usually in Cartesian/Metafont
+ coordinates: (0,0) is towards the lower left. */
+typedef struct
+{
+ signed_4_bytes min_row, max_row;
+ signed_4_bytes min_col, max_col;
+} bounding_box_type;
+
+typedef struct
+{
+ real min_row, max_row;
+ real min_col, max_col;
+} real_bounding_box_type;
+
+/* These accessing macros work for both types of bounding boxes, since
+ the member names are the same. */
+#define MIN_ROW(bb) ((bb).min_row)
+#define MAX_ROW(bb) ((bb).max_row)
+#define MIN_COL(bb) ((bb).min_col)
+#define MAX_COL(bb) ((bb).max_col)
+
+/* See the comments at `get_character_bitmap' in gf_input.c for why the
+ width and height are treated asymmetrically. */
+#define BB_WIDTH(bb) (MAX_COL (bb) - MIN_COL (bb))
+#define BB_HEIGHT(bb) (MAX_ROW (bb) - MIN_ROW (bb) + 1)
+
+
+/* Convert a dimensions structure to an integer bounding box, and vice
+ versa. */
+extern bounding_box_type dimensions_to_bb (dimensions_type);
+extern dimensions_type bb_to_dimensions (bounding_box_type);
+
+
+/* Update the bounding box BB from the point P. */
+extern void update_real_bounding_box (real_bounding_box_type *bb,
+ real_coordinate_type p);
+extern void update_bounding_box (bounding_box_type *bb, coordinate_type p);
+
+#endif /* not BOUNDING_BOX_H */
diff --git a/plug-ins/selection-to-path/curve.c b/plug-ins/selection-to-path/curve.c
new file mode 100644
index 0000000..afb157c
--- /dev/null
+++ b/plug-ins/selection-to-path/curve.c
@@ -0,0 +1,184 @@
+/* curve.c: operations on the lists of pixels and lists of curves.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include <glib.h>
+
+#include "global.h"
+#include "curve.h"
+
+
+/* Return an entirely empty curve. */
+
+curve_type
+new_curve (void)
+{
+ curve_type curve = g_new (struct curve, 1);
+
+ curve->point_list = NULL;
+ CURVE_LENGTH (curve) = 0;
+ CURVE_CYCLIC (curve) = false;
+ CURVE_START_TANGENT (curve) = CURVE_END_TANGENT (curve) = NULL;
+ PREVIOUS_CURVE (curve) = NEXT_CURVE (curve) = NULL;
+
+ return curve;
+}
+
+
+/* Start the returned curve off with COORD as the first point. */
+
+curve_type
+init_curve (coordinate_type coord)
+{
+ curve_type curve = new_curve ();
+
+ curve->point_list = g_new (point_type, 1);
+ CURVE_LENGTH (curve) = 1;
+
+ CURVE_POINT (curve, 0) = int_to_real_coord (coord);
+
+ return curve;
+}
+
+
+/* Don't copy the points or tangents, but copy everything else. */
+
+curve_type
+copy_most_of_curve (curve_type old_curve)
+{
+ curve_type curve = new_curve ();
+
+ CURVE_CYCLIC (curve) = CURVE_CYCLIC (old_curve);
+ PREVIOUS_CURVE (curve) = PREVIOUS_CURVE (old_curve);
+ NEXT_CURVE (curve) = NEXT_CURVE (old_curve);
+
+ return curve;
+}
+
+
+/* The length of CURVE will be zero if we ended up not being able to fit
+ it (which in turn implies a problem elsewhere in the program, but at
+ any rate, we shouldn't try here to free the nonexistent curve). */
+
+void
+free_curve (curve_type curve)
+{
+ if (CURVE_LENGTH (curve) > 0)
+ safe_free ((address *) &(curve->point_list));
+}
+
+
+void
+append_pixel (curve_type curve, coordinate_type coord)
+{
+ append_point (curve, int_to_real_coord (coord));
+}
+
+
+void
+append_point (curve_type curve, real_coordinate_type coord)
+{
+ CURVE_LENGTH (curve)++;
+ curve->point_list = g_realloc (curve->point_list,CURVE_LENGTH (curve) * sizeof(point_type));
+ LAST_CURVE_POINT (curve) = coord;
+ /* The t value does not need to be set. */
+}
+
+/* Return an initialized but empty curve list. */
+
+curve_list_type
+new_curve_list (void)
+{
+ curve_list_type curve_list;
+
+ curve_list.length = 0;
+ curve_list.data = NULL;
+ curve_list.clockwise = FALSE;
+
+ return curve_list;
+}
+
+
+/* Free a curve list and all the curves it contains. */
+
+void
+free_curve_list (curve_list_type *curve_list)
+{
+ unsigned this_curve;
+
+ for (this_curve = 0; this_curve < curve_list->length; this_curve++)
+ free_curve (curve_list->data[this_curve]);
+
+ /* If the character was empty, it won't have any curves. */
+ if (curve_list->data != NULL)
+ safe_free ((address *) &(curve_list->data));
+}
+
+
+/* Add an element to a curve list. */
+
+void
+append_curve (curve_list_type *curve_list, curve_type curve)
+{
+ curve_list->length++;
+ curve_list->data = g_realloc (curve_list->data,curve_list->length*sizeof(curve_type));
+ curve_list->data[curve_list->length - 1] = curve;
+}
+
+
+/* Return an initialized but empty curve list array. */
+
+curve_list_array_type
+new_curve_list_array (void)
+{
+ curve_list_array_type curve_list_array;
+
+ CURVE_LIST_ARRAY_LENGTH (curve_list_array) = 0;
+ curve_list_array.data = NULL;
+
+ return curve_list_array;
+}
+
+
+/* Free a curve list array and all the curve lists it contains. */
+
+void
+free_curve_list_array (curve_list_array_type *curve_list_array)
+{
+ unsigned this_list;
+
+ for (this_list = 0; this_list < CURVE_LIST_ARRAY_LENGTH (*curve_list_array);
+ this_list++)
+ free_curve_list (&CURVE_LIST_ARRAY_ELT (*curve_list_array, this_list));
+
+ /* If the character was empty, it won't have any curves. */
+ if (curve_list_array->data != NULL)
+ safe_free ((address *) &(curve_list_array->data));
+}
+
+
+/* Add an element to a curve list array. */
+
+void
+append_curve_list (curve_list_array_type *l, curve_list_type curve_list)
+{
+ CURVE_LIST_ARRAY_LENGTH (*l)++;
+ l->data = g_realloc (l->data,( CURVE_LIST_ARRAY_LENGTH (*l))*sizeof(curve_list_type));
+ LAST_CURVE_LIST_ARRAY_ELT (*l) = curve_list;
+}
diff --git a/plug-ins/selection-to-path/curve.h b/plug-ins/selection-to-path/curve.h
new file mode 100644
index 0000000..b0bd374
--- /dev/null
+++ b/plug-ins/selection-to-path/curve.h
@@ -0,0 +1,157 @@
+/* curve.h: data structures for the conversion from pixels to splines.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef CURVE_H
+#define CURVE_H
+
+#include "types.h"
+#include "vector.h"
+
+
+/* We are simultaneously manipulating two different representations of
+ the same outline: one based on (x,y) positions in the plane, and one
+ based on parametric splines. (We are trying to match the latter to
+ the former.) Although the original (x,y)'s are pixel positions,
+ i.e., integers, after filtering they are reals. */
+
+typedef struct
+{
+ real_coordinate_type coord;
+ real t;
+} point_type;
+
+
+/* It turns out to be convenient to break the list of all the pixels in
+ the outline into sublists, divided at ``corners''. Then each of the
+ sublists is treated independently. Each of these sublists is a `curve'. */
+
+struct curve
+{
+ point_type *point_list;
+ int length;
+ boolean cyclic;
+ vector_type *start_tangent;
+ vector_type *end_tangent;
+ struct curve *previous;
+ struct curve *next;
+};
+
+typedef struct curve *curve_type;
+
+/* Get at the coordinates and the t values. */
+#define CURVE_POINT(c, n) ((c)->point_list[n].coord)
+#define LAST_CURVE_POINT(c) ((c)->point_list[(c)->length-1].coord)
+#define CURVE_T(c, n) ((c)->point_list[n].t)
+#define LAST_CURVE_T(c) ((c)->point_list[(c)->length-1].t)
+
+/* This is the length of `point_list'. */
+#define CURVE_LENGTH(c) ((c)->length)
+
+/* A curve is ``cyclic'' if it didn't have any corners, after all, so
+ the last point is adjacent to the first. */
+#define CURVE_CYCLIC(c) ((c)->cyclic)
+
+/* If the curve is cyclic, the next and previous points should wrap
+ around; otherwise, if we get to the end, we return CURVE_LENGTH and
+ -1, respectively. */
+#define CURVE_NEXT(c, n) \
+ ((n) + 1 >= CURVE_LENGTH (c) \
+ ? CURVE_CYCLIC (c) ? ((n) + 1) % CURVE_LENGTH (c) : CURVE_LENGTH (c) \
+ : (n) + 1)
+#define CURVE_PREV(c, n) \
+ ((int) (n) - 1 < 0 \
+ ? CURVE_CYCLIC (c) ? CURVE_LENGTH (c) + (int) (n) - 1 : -1 \
+ : (int) (n) - 1)
+
+/* The tangents at the endpoints are computed using the neighboring curves. */
+#define CURVE_START_TANGENT(c) ((c)->start_tangent)
+#define CURVE_END_TANGENT(c) ((c)->end_tangent)
+#define PREVIOUS_CURVE(c) ((c)->previous)
+#define NEXT_CURVE(c) ((c)->next)
+
+
+/* Return an entirely empty curve. */
+extern curve_type new_curve (void);
+
+/* Return a curve with the point P as its first element. */
+extern curve_type init_curve (coordinate_type p);
+
+/* Return a curve the same as C, except without any points. */
+extern curve_type copy_most_of_curve (curve_type c);
+
+/* Free the memory C uses. */
+extern void free_curve (curve_type c);
+
+/* Append the point P to the end of C's list. */
+extern void append_pixel (curve_type c, coordinate_type p);
+
+/* Like `append_pixel', for a point in real coordinates. */
+extern void append_point (curve_type c, real_coordinate_type p);
+
+/* Write some or all, respectively, of the curve C in human-readable
+ form to the log file, if logging is enabled. */
+extern void log_curve (curve_type c, boolean print_t);
+extern void log_entire_curve (curve_type c);
+
+/* Display the curve C online, if displaying is enabled. */
+extern void display_curve (curve_type);
+
+/* So, an outline is a list of curves. */
+typedef struct
+{
+ curve_type *data;
+ unsigned length;
+ boolean clockwise;
+} curve_list_type;
+
+/* Number of curves in the list. */
+#define CURVE_LIST_LENGTH(c_l) ((c_l).length)
+
+/* Access the individual curves. */
+#define CURVE_LIST_ELT(c_l, n) ((c_l).data[n])
+#define LAST_CURVE_LIST_ELT(c_l) ((c_l).data[CURVE_LIST_LENGTH (c_l) - 1])
+
+/* Says whether the outline that this curve list represents moves
+ clockwise or counterclockwise. */
+#define CURVE_LIST_CLOCKWISE(c_l) ((c_l).clockwise)
+
+
+extern curve_list_type new_curve_list (void);
+extern void free_curve_list (curve_list_type *);
+extern void append_curve (curve_list_type *, curve_type);
+
+/* And a character is a list of outlines. I named this
+ `curve_list_array_type' because `curve_list_list_type' seemed pretty
+ monstrous. */
+typedef struct
+{
+ curve_list_type *data;
+ unsigned length;
+} curve_list_array_type;
+
+/* Turns out we can use the same definitions for lists of lists as for
+ just lists. But we define the usual names, just in case. */
+#define CURVE_LIST_ARRAY_LENGTH CURVE_LIST_LENGTH
+#define CURVE_LIST_ARRAY_ELT CURVE_LIST_ELT
+#define LAST_CURVE_LIST_ARRAY_ELT LAST_CURVE_LIST_ELT
+
+extern curve_list_array_type new_curve_list_array (void);
+extern void free_curve_list_array (curve_list_array_type *);
+extern void append_curve_list (curve_list_array_type *, curve_list_type);
+
+#endif /* not CURVE_H */
diff --git a/plug-ins/selection-to-path/edge.c b/plug-ins/selection-to-path/edge.c
new file mode 100644
index 0000000..8aa20be
--- /dev/null
+++ b/plug-ins/selection-to-path/edge.c
@@ -0,0 +1,268 @@
+/* edge.c: operations on edges in bitmaps.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include <assert.h>
+
+#include "types.h"
+#include "selection-to-path.h"
+#include "edge.h"
+
+/* We can move in any of eight directions as we are traversing
+ the outline. These numbers are not arbitrary; TRY_PIXEL depends on
+ them. */
+
+typedef enum
+{
+ north = 0, northwest = 1, west = 2, southwest = 3, south = 4,
+ southeast = 5, east = 6, northeast = 7
+} direction_type;
+
+
+static boolean is_marked_edge (edge_type, unsigned, unsigned, bitmap_type);
+static boolean is_outline_edge (edge_type, unsigned, unsigned);
+static edge_type next_edge (edge_type);
+
+/* The following macros are used (directly or indirectly) by the
+ `next_outline_edge' routine. */
+
+/* Given the direction DIR of the pixel to test, decide which edge on
+ that pixel we are supposed to test. Because we've chosen the mapping
+ from directions to numbers carefully, we don't have to do much. */
+
+#define FIND_TEST_EDGE(dir) ((dir) / 2)
+
+
+/* Find how to move in direction DIR on the axis AXIS (either `ROW' or
+ `COL'). We are in the ``display'' coordinate system, with y
+ increasing downward and x increasing to the right. Therefore, we are
+ implementing the following table:
+
+ direction row delta col delta
+ north -1 0
+ south +1 0
+ east 0 +1
+ west 0 +1
+
+ with the other four directions (e.g., northwest) being the sum of
+ their components (e.g., north + west).
+
+ The first macro, `COMPUTE_DELTA', handles splitting up the latter
+ cases, all of which have been assigned odd numbers. */
+
+#define COMPUTE_DELTA(axis, dir) \
+ ((dir) % 2 != 0 \
+ ? COMPUTE_##axis##_DELTA ((dir) - 1) \
+ + COMPUTE_##axis##_DELTA (((dir) + 1) % 8) \
+ : COMPUTE_##axis##_DELTA (dir) \
+ )
+
+/* Now it is trivial to implement the four cardinal directions. */
+#define COMPUTE_ROW_DELTA(dir) \
+ ((dir) == north ? -1 : (dir) == south ? +1 : 0)
+
+#define COMPUTE_COL_DELTA(dir) \
+ ((dir) == west ? -1 : (dir) == east ? +1 : 0)
+
+
+/* See if the appropriate edge on the pixel from (row,col) in direction
+ DIR is on the outline. If so, update `row', `col', and `edge', and
+ break. We also use the variable `character' as the bitmap in which
+ to look. */
+
+#define TRY_PIXEL(dir) \
+ { \
+ int delta_r = COMPUTE_DELTA (ROW, dir); \
+ int delta_c = COMPUTE_DELTA (COL, dir); \
+ int test_row = *row + delta_r; \
+ int test_col = *col + delta_c; \
+ edge_type test_edge = FIND_TEST_EDGE (dir); \
+ \
+ if (sel_valid_pixel(test_row, test_col) \
+ && is_outline_edge (test_edge, test_row, test_col)) \
+ { \
+ *row = test_row; \
+ *col = test_col; \
+ *edge = test_edge; \
+ break; \
+ } \
+ }
+
+/* Finally, we are ready to implement the routine that finds the next
+ edge on the outline. We look first for an adjacent edge that is not
+ on the current pixel. We want to go around outside outlines
+ counterclockwise, and inside outlines clockwise (because that is how
+ both Metafont and Adobe Type 1 format want their curves to be drawn).
+
+ The very first outline (an outside one) on each character starts on a
+ top edge (STARTING_EDGE in edge.h defines this); so, if we're at a
+ top edge, we want to go only to the left (on the pixel to the west)
+ or down (on the same pixel), to begin with. Then, when we're on a
+ left edge, we want to go to the top edge (on the southwest pixel) or
+ to the left edge (on the south pixel).
+
+ All well and good. But if you draw a rasterized circle (or whatever),
+ eventually we have to come back around to the beginning; at that
+ point, we'll be on a top edge, and we'll have to go to the right edge
+ on the northwest pixel. Draw pictures.
+
+ The upshot is, if we find an edge on another pixel, we return (in ROW
+ and COL) the position of the new pixel, and (in EDGE) the kind of
+ edge it is. If we don't find such an edge, we return (in EDGE) the
+ next (in a counterclockwise direction) edge on the current pixel. */
+
+void
+next_outline_edge (edge_type *edge,
+ unsigned *row, unsigned *col)
+{
+ unsigned original_row = *row;
+ unsigned original_col = *col;
+
+ switch (*edge)
+ {
+ case right:
+ TRY_PIXEL (north);
+ TRY_PIXEL (northeast);
+ break;
+
+ case top:
+ TRY_PIXEL (west);
+ TRY_PIXEL (northwest);
+ break;
+
+ case left:
+ TRY_PIXEL (south);
+ TRY_PIXEL (southwest);
+ break;
+
+ case bottom:
+ TRY_PIXEL (east);
+ TRY_PIXEL (southeast);
+ break;
+
+ default:
+ printf ("next_outline_edge: Bad edge value (%d)", *edge);
+
+ }
+
+ /* If we didn't find an adjacent edge on another pixel, return the
+ next edge on the current pixel. */
+ if (*row == original_row && *col == original_col)
+ *edge = next_edge (*edge);
+}
+
+/* We return the next edge on the pixel at position ROW and COL which is
+ an unmarked outline edge. By ``next'' we mean either the one sent in
+ in STARTING_EDGE, if it qualifies, or the next such returned by
+ `next_edge'. */
+
+edge_type
+next_unmarked_outline_edge (unsigned row, unsigned col,
+ edge_type starting_edge,
+ bitmap_type marked)
+{
+ edge_type edge = starting_edge;
+
+ assert (edge != no_edge);
+
+ while (is_marked_edge (edge, row, col, marked)
+ || !is_outline_edge (edge, row, col))
+ {
+ edge = next_edge (edge);
+ if (edge == starting_edge)
+ return no_edge;
+ }
+
+ return edge;
+}
+
+
+/* We check to see if the edge EDGE of the pixel at position ROW and COL
+ is an outline edge; i.e., that it is a black pixel which shares that
+ edge with a white pixel. The position ROW and COL should be inside
+ the bitmap CHARACTER. */
+
+static boolean
+is_outline_edge (edge_type edge,
+ unsigned row, unsigned col)
+{
+ /* If this pixel isn't black, it's not part of the outline. */
+ if (sel_pixel_is_white(row, col))
+ return false;
+
+ switch (edge)
+ {
+ case left:
+ return col == 0 || sel_pixel_is_white(row, col - 1);
+
+ case top:
+ return row == 0 || sel_pixel_is_white(row - 1, col);
+
+ case right:
+ return (col == sel_get_width() - 1)
+ || sel_pixel_is_white(row, col + 1);
+
+ case bottom:
+ return (row == sel_get_height() - 1)
+ || sel_pixel_is_white(row + 1, col);
+
+ case no_edge:
+ default:
+ printf ("is_outline_edge: Bad edge value(%d)", edge);
+ }
+
+ return 0; /* NOTREACHED */
+}
+
+/* If EDGE is not already marked, we mark it; otherwise, it's a fatal error.
+ The position ROW and COL should be inside the bitmap MARKED. EDGE can
+ be `no_edge'; we just return false. */
+
+void
+mark_edge (edge_type edge, unsigned row, unsigned col, bitmap_type *marked)
+{
+ /* printf("row = %d, col = %d \n",row,col); */
+ assert (!is_marked_edge (edge, row, col, *marked));
+
+ if (edge != no_edge)
+ BITMAP_PIXEL (*marked, row, col) |= 1 << edge;
+}
+
+
+/* Test if the edge EDGE at ROW/COL in MARKED is marked. */
+
+static boolean
+is_marked_edge (edge_type edge, unsigned row, unsigned col, bitmap_type marked)
+{
+ return
+ edge == no_edge ? false : BITMAP_PIXEL (marked, row, col) & (1 << edge);
+}
+
+
+/* Return the edge which is counterclockwise-adjacent to EDGE. This
+ code makes use of the ``numericness'' of C enumeration constants;
+ sorry about that. */
+
+#define NUM_EDGES no_edge
+
+static edge_type
+next_edge (edge_type edge)
+{
+ return edge == no_edge ? edge : (edge + 1) % NUM_EDGES;
+}
diff --git a/plug-ins/selection-to-path/edge.h b/plug-ins/selection-to-path/edge.h
new file mode 100644
index 0000000..1d9d347
--- /dev/null
+++ b/plug-ins/selection-to-path/edge.h
@@ -0,0 +1,59 @@
+/* edge.h: declarations for edge traversing.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef EDGE_H
+#define EDGE_H
+
+#include "bitmap.h"
+
+/* We consider each pixel to consist of four edges, and we travel along
+ edges, instead of through pixel centers. This is necessary for those
+ unfortunate times when a single pixel is on both an inside and an
+ outside outline.
+
+ The numbers chosen here are not arbitrary; the code that figures out
+ which edge to move to depends on particular values. See the
+ `TRY_PIXEL' macro in `edge.c'. To emphasize this, I've written in the
+ numbers we need for each edge value. */
+
+typedef enum
+{
+ top = 1, left = 2, bottom = 3, right = 0, no_edge = 4
+} edge_type;
+
+/* This choice is also not arbitrary: starting at the top edge makes the
+ code find outside outlines before inside ones, which is certainly
+ what we want. */
+#define START_EDGE top
+
+
+/* Return the next outline edge on B in EDGE, ROW, and COL. */
+extern void next_outline_edge (edge_type *edge,
+ unsigned *row, unsigned *col);
+
+/* Return the next edge after START on the pixel ROW/COL in B that is
+ unmarked, according to the MARKED array. */
+extern edge_type next_unmarked_outline_edge (unsigned row, unsigned col,
+ edge_type start,
+ bitmap_type marked);
+
+/* Mark the edge E at the pixel ROW/COL in MARKED. */
+extern void mark_edge (edge_type e, unsigned row, unsigned col,
+ bitmap_type *marked);
+
+#endif /* not EDGE_H */
diff --git a/plug-ins/selection-to-path/fit.c b/plug-ins/selection-to-path/fit.c
new file mode 100644
index 0000000..8ee57ae
--- /dev/null
+++ b/plug-ins/selection-to-path/fit.c
@@ -0,0 +1,1967 @@
+/* fit.c: turn a bitmap representation of a curve into a list of splines.
+ * Some of the ideas, but not the code, comes from the Phoenix thesis.
+ * See README for the reference.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include <string.h>
+#include <float.h>
+#include <math.h>
+#include <assert.h>
+
+#include <glib.h>
+
+#include "global.h"
+#include "spline.h"
+#include "vector.h"
+
+#include "curve.h"
+#include "fit.h"
+#include "pxl-outline.h"
+
+/* If two endpoints are closer than this, they are made to be equal.
+ (-align-threshold) */
+real align_threshold = 0.5;
+
+/* If the angle defined by a point and its predecessors and successors
+ is smaller than this, it's a corner, even if it's within
+ `corner_surround' pixels of a point with a smaller angle.
+ (-corner-always-threshold) */
+real corner_always_threshold = 60.0;
+
+/* Number of points to consider when determining if a point is a corner
+ or not. (-corner-surround) */
+unsigned corner_surround = 4;
+
+/* If a point, its predecessors, and its successors define an angle
+ smaller than this, it's a corner. Should be in range 0..180.
+ (-corner-threshold) */
+real corner_threshold = 100.0;
+
+/* Amount of error at which a fitted spline is unacceptable. If any
+ pixel is further away than this from the fitted curve, we try again.
+ (-error-threshold) */
+/* real error_threshold = .8; ALT */
+real error_threshold = .4;
+
+/* A second number of adjacent points to consider when filtering.
+ (-filter-alternative-surround) */
+unsigned filter_alternative_surround = 1;
+
+/* If the angles between the vectors produced by filter_surround and
+ filter_alternative_surround points differ by more than this, use
+ the one from filter_alternative_surround. (-filter-epsilon) */
+real filter_epsilon = 10.0;
+
+/* Number of times to smooth original data points. Increasing this
+ number dramatically---to 50 or so---can produce vastly better
+ results. But if any points that ``should'' be corners aren't found,
+ the curve goes to hell around that point. (-filter-iterations) */
+/* unsigned filter_iteration_count = 4; ALT */
+unsigned filter_iteration_count = 4;
+
+/* To produce the new point, use the old point plus this times the
+ neighbors. (-filter-percent) */
+real filter_percent = .33;
+
+/* Number of adjacent points to consider if `filter_surround' points
+ defines a straight line. (-filter-secondary-surround) */
+static unsigned filter_secondary_surround = 3;
+
+/* Number of adjacent points to consider when filtering.
+ (-filter-surround) */
+unsigned filter_surround = 2;
+
+/* Says whether or not to remove ``knee'' points after finding the outline.
+ (See the comments at `remove_knee_points'.) (-remove-knees). */
+boolean keep_knees = false;
+
+/* If a spline is closer to a straight line than this, it remains a
+ straight line, even if it would otherwise be changed back to a curve.
+ This is weighted by the square of the curve length, to make shorter
+ curves more likely to be reverted. (-line-reversion-threshold) */
+real line_reversion_threshold = .01;
+
+/* How many pixels (on the average) a spline can diverge from the line
+ determined by its endpoints before it is changed to a straight line.
+ (-line-threshold) */
+/* real line_threshold = 1.0; ALT */
+real line_threshold = 0.5;
+
+/* If reparameterization doesn't improve the fit by this much percent,
+ stop doing it. (-reparameterize-improve) */
+/* real reparameterize_improvement = .10; ALT */
+real reparameterize_improvement = .01;
+
+/* Amount of error at which it is pointless to reparameterize. This
+ happens, for example, when we are trying to fit the outline of the
+ outside of an `O' with a single spline. The initial fit is not good
+ enough for the Newton-Raphson iteration to improve it. It may be
+ that it would be better to detect the cases where we didn't find any
+ corners. (-reparameterize-threshold) */
+/* real reparameterize_threshold = 30.0; ALT */
+real reparameterize_threshold = 1.0;
+
+/* Percentage of the curve away from the worst point to look for a
+ better place to subdivide. (-subdivide-search) */
+real subdivide_search = .1;
+
+/* Number of points to consider when deciding whether a given point is a
+ better place to subdivide. (-subdivide-surround) */
+unsigned subdivide_surround = 4;
+
+/* How many pixels a point can diverge from a straight line and still be
+ considered a better place to subdivide. (-subdivide-threshold) */
+real subdivide_threshold = .03;
+
+/* Number of points to look at on either side of a point when computing
+ the approximation to the tangent at that point. (-tangent-surround) */
+unsigned tangent_surround = 3;
+
+
+/* We need to manipulate lists of array indices. */
+
+typedef struct index_list
+{
+ unsigned *data;
+ unsigned length;
+} index_list_type;
+
+/* The usual accessor macros. */
+#define GET_INDEX(i_l, n) ((i_l).data[n])
+#define INDEX_LIST_LENGTH(i_l) ((i_l).length)
+#define GET_LAST_INDEX(i_l) ((i_l).data[INDEX_LIST_LENGTH (i_l) - 1])
+
+static void append_index (index_list_type *, unsigned);
+static void free_index_list (index_list_type *);
+static index_list_type new_index_list (void);
+static void remove_adjacent_corners (index_list_type *, unsigned);
+
+static void align (spline_list_type *);
+static void change_bad_lines (spline_list_type *);
+static void filter (curve_type);
+static real filter_angle (vector_type, vector_type);
+static void find_curve_vectors
+ (unsigned, curve_type, unsigned, vector_type *, vector_type *, unsigned *);
+static unsigned find_subdivision (curve_type, unsigned initial);
+static void find_vectors
+ (unsigned, pixel_outline_type, vector_type *, vector_type *);
+static index_list_type find_corners (pixel_outline_type);
+static real find_error (curve_type, spline_type, unsigned *);
+static vector_type find_half_tangent (curve_type, boolean start, unsigned *);
+static void find_tangent (curve_type, boolean, boolean);
+static spline_type fit_one_spline (curve_type);
+static spline_list_type *fit_curve (curve_type);
+static spline_list_type fit_curve_list (curve_list_type);
+static spline_list_type *fit_with_least_squares (curve_type);
+static spline_list_type *fit_with_line (curve_type);
+static void remove_knee_points (curve_type, boolean);
+static boolean reparameterize (curve_type, spline_type);
+static void set_initial_parameter_values (curve_type);
+static boolean spline_linear_enough (spline_type *, curve_type);
+static curve_list_array_type split_at_corners (pixel_outline_list_type);
+static boolean test_subdivision_point (curve_type, unsigned, vector_type *);
+
+/* The top-level call that transforms the list of pixels in the outlines
+ of the original character to a list of spline lists fitted to those
+ pixels. */
+
+spline_list_array_type
+fitted_splines (pixel_outline_list_type pixel_outline_list)
+{
+ unsigned this_list;
+ unsigned total = 0;
+ spline_list_array_type char_splines = new_spline_list_array ();
+ curve_list_array_type curve_array = split_at_corners (pixel_outline_list);
+
+ for (this_list = 0; this_list < CURVE_LIST_ARRAY_LENGTH (curve_array);
+ this_list++)
+ {
+ spline_list_type curve_list_splines;
+ curve_list_type curves = CURVE_LIST_ARRAY_ELT (curve_array, this_list);
+
+ curve_list_splines = fit_curve_list (curves);
+ append_spline_list (&char_splines, curve_list_splines);
+
+/* REPORT ("* "); */
+ }
+
+ free_curve_list_array (&curve_array);
+
+ for (this_list = 0; this_list < SPLINE_LIST_ARRAY_LENGTH (char_splines);
+ this_list++)
+ total
+ += SPLINE_LIST_LENGTH (SPLINE_LIST_ARRAY_ELT (char_splines, this_list));
+
+/* REPORT1 ("=%u", total); */
+
+ return char_splines;
+}
+
+/* Set up the internal parameters from the external ones */
+
+void
+fit_set_params(SELVALS *selVals)
+{
+ align_threshold = selVals->align_threshold;
+ corner_always_threshold = selVals->corner_always_threshold;
+ corner_surround = selVals->corner_surround;
+ corner_threshold = selVals->corner_threshold;
+ error_threshold = selVals->error_threshold;
+ filter_alternative_surround = selVals->filter_alternative_surround;
+ filter_epsilon = selVals->filter_epsilon;
+ filter_iteration_count = selVals->filter_iteration_count;
+ filter_percent = selVals->filter_percent;
+ filter_secondary_surround = selVals->filter_secondary_surround;
+ filter_surround = selVals->filter_surround;
+ keep_knees = selVals->keep_knees;
+ line_reversion_threshold = selVals->line_reversion_threshold;
+ line_threshold = selVals->line_threshold;
+ reparameterize_improvement = selVals->reparameterize_improvement;
+ reparameterize_threshold = selVals->reparameterize_threshold;
+ subdivide_search = selVals->subdivide_search;
+ subdivide_surround = selVals->subdivide_surround;
+ subdivide_threshold = selVals->subdivide_threshold;
+ tangent_surround = selVals->tangent_surround;
+}
+
+void
+fit_set_default_params(SELVALS *selVals)
+{
+ selVals->align_threshold = align_threshold;
+ selVals->corner_always_threshold = corner_always_threshold;
+ selVals->corner_surround = corner_surround;
+ selVals->corner_threshold = corner_threshold;
+ selVals->error_threshold = error_threshold;
+ selVals->filter_alternative_surround = filter_alternative_surround;
+ selVals->filter_epsilon = filter_epsilon;
+ selVals->filter_iteration_count = filter_iteration_count;
+ selVals->filter_percent = filter_percent;
+ selVals->filter_secondary_surround = filter_secondary_surround;
+ selVals->filter_surround = filter_surround;
+ selVals->keep_knees = keep_knees;
+ selVals->line_reversion_threshold = line_reversion_threshold;
+ selVals->line_threshold = line_threshold;
+ selVals->reparameterize_improvement = reparameterize_improvement;
+ selVals->reparameterize_threshold = reparameterize_threshold;
+ selVals->subdivide_search = subdivide_search;
+ selVals->subdivide_surround = subdivide_surround;
+ selVals->subdivide_threshold = subdivide_threshold;
+ selVals->tangent_surround = tangent_surround;
+}
+
+/* Fit the list of curves CURVE_LIST to a list of splines, and return
+ it. CURVE_LIST represents a single closed paths, e.g., either the
+ inside or outside outline of an `o'. */
+
+static spline_list_type
+fit_curve_list (curve_list_type curve_list)
+{
+ curve_type curve;
+ unsigned this_curve, this_spline;
+ unsigned curve_list_length = CURVE_LIST_LENGTH (curve_list);
+ spline_list_type curve_list_splines = *new_spline_list ();
+
+ /* Remove the extraneous ``knee'' points before filtering. Since the
+ corners have already been found, we don't need to worry about
+ removing a point that should be a corner. */
+ if (!keep_knees)
+ {
+/* LOG ("\nRemoving knees:\n"); */
+ for (this_curve = 0; this_curve < curve_list_length; this_curve++)
+ {
+/* LOG1 ("#%u:", this_curve); */
+ remove_knee_points (CURVE_LIST_ELT (curve_list, this_curve),
+ CURVE_LIST_CLOCKWISE (curve_list));
+ }
+ }
+
+ /* We filter all the curves in CURVE_LIST at once; otherwise, we would
+ look at an unfiltered curve when computing tangents. */
+/* LOG ("\nFiltering curves:\n"); */
+ for (this_curve = 0; this_curve < curve_list.length; this_curve++)
+ {
+/* LOG1 ("#%u: ", this_curve); */
+ filter (CURVE_LIST_ELT (curve_list, this_curve));
+/* REPORT ("f"); */
+ }
+
+ /* Make the first point in the first curve also be the last point in
+ the last curve, so the fit to the whole curve list will begin and
+ end at the same point. This may cause slight errors in computing
+ the tangents and t values, but it's worth it for the continuity.
+ Of course we don't want to do this if the two points are already
+ the same, as they are if the curve is cyclic. (We don't append it
+ earlier, in `split_at_corners', because that confuses the
+ filtering.) Finally, we can't append the point if the curve is
+ exactly three points long, because we aren't adding any more data,
+ and three points isn't enough to determine a spline. Therefore,
+ the fitting will fail. */
+ curve = CURVE_LIST_ELT (curve_list, 0);
+ if (CURVE_CYCLIC (curve) && CURVE_LENGTH (curve) != 3)
+ append_point (curve, CURVE_POINT (curve, 0));
+
+ /* Finally, fit each curve in the list to a list of splines. */
+ for (this_curve = 0; this_curve < curve_list_length; this_curve++)
+ {
+ spline_list_type *curve_splines;
+ curve_type current_curve = CURVE_LIST_ELT (curve_list, this_curve);
+
+/* REPORT1 (" %u", this_curve); */
+/* LOG1 ("\nFitting curve #%u:\n", this_curve); */
+
+ curve_splines = fit_curve (current_curve);
+ if (curve_splines == NULL)
+ printf("Could not fit curve #%u", this_curve);
+ else
+ {
+/* LOG1 ("Fitted splines for curve #%u:\n", this_curve); */
+ for (this_spline = 0;
+ this_spline < SPLINE_LIST_LENGTH (*curve_splines);
+ this_spline++)
+ {
+/* LOG1 (" %u: ", this_spline); */
+/* if (logging) */
+/* print_spline (log_
+file, */
+/* SPLINE_LIST_ELT (*curve_splines, this_spline)); */
+ }
+
+ /* After fitting, we may need to change some would-be lines
+ back to curves, because they are in a list with other
+ curves. */
+ change_bad_lines (curve_splines);
+
+ concat_spline_lists (&curve_list_splines, *curve_splines);
+/* REPORT1 ("(%u)", SPLINE_LIST_LENGTH (*curve_splines)); */
+ }
+ }
+
+
+ /* We do this for each outline's spline list because when a point
+ is changed, it needs to be changed in both segments in which it
+ appears---and the segments might be in different curves. */
+ align (&curve_list_splines);
+
+ return curve_list_splines;
+}
+
+
+/* Transform a set of locations to a list of splines (the fewer the
+ better). We are guaranteed that CURVE does not contain any corners.
+ We return NULL if we cannot fit the points at all. */
+
+static spline_list_type *
+fit_curve (curve_type curve)
+{
+ spline_list_type *fitted_splines;
+
+ if (CURVE_LENGTH (curve) < 2)
+ {
+ printf ("Tried to fit curve with less than two points");
+ return NULL;
+ }
+
+ /* Do we have enough points to fit with a spline? */
+ fitted_splines = CURVE_LENGTH (curve) < 4
+ ? fit_with_line (curve)
+ : fit_with_least_squares (curve);
+
+ return fitted_splines;
+}
+
+/* As mentioned above, the first step is to find the corners in
+ PIXEL_LIST, the list of points. (Presumably we can't fit a single
+ spline around a corner.) The general strategy is to look through all
+ the points, remembering which we want to consider corners. Then go
+ through that list, producing the curve_list. This is dictated by the
+ fact that PIXEL_LIST does not necessarily start on a corner---it just
+ starts at the character's first outline pixel, going left-to-right,
+ top-to-bottom. But we want all our splines to start and end on real
+ corners.
+
+ For example, consider the top of a capital `C' (this is in cmss20):
+ x
+ ***********
+ ******************
+
+ PIXEL_LIST will start at the pixel below the `x'. If we considered
+ this pixel a corner, we would wind up matching a very small segment
+ from there to the end of the line, probably as a straight line, which
+ is certainly not what we want.
+
+ PIXEL_LIST has one element for each closed outline on the character.
+ To preserve this information, we return an array of curve_lists, one
+ element (which in turn consists of several curves, one between each
+ pair of corners) for each element in PIXEL_LIST. */
+
+static curve_list_array_type
+split_at_corners (pixel_outline_list_type pixel_list)
+{
+ unsigned this_pixel_o;
+ curve_list_array_type curve_array = new_curve_list_array ();
+
+/* LOG ("\nFinding corners:\n"); */
+
+ for (this_pixel_o = 0; this_pixel_o < O_LIST_LENGTH (pixel_list);
+ this_pixel_o++)
+ {
+ curve_type curve, first_curve;
+ index_list_type corner_list;
+ unsigned p, this_corner;
+ curve_list_type curve_list = new_curve_list ();
+ pixel_outline_type pixel_o = O_LIST_OUTLINE (pixel_list, this_pixel_o);
+
+ CURVE_LIST_CLOCKWISE (curve_list) = O_CLOCKWISE (pixel_o);
+
+/* LOG1 ("#%u:", this_pixel_o); */
+
+ /* If the outline does not have enough points, we can't do
+ anything. The endpoints of the outlines are automatically
+ corners. We need at least `corner_surround' more pixels on
+ either side of a point before it is conceivable that we might
+ want another corner. */
+ if (O_LENGTH (pixel_o) > corner_surround * 2 + 2)
+ {
+ corner_list = find_corners (pixel_o);
+ }
+ else
+ {
+ corner_list.data = NULL;
+ corner_list.length = 0;
+ }
+
+ /* Remember the first curve so we can make it be the `next' of the
+ last one. (And vice versa.) */
+ first_curve = new_curve ();
+
+ curve = first_curve;
+
+ if (corner_list.length == 0)
+ { /* No corners. Use all of the pixel outline as the curve. */
+ for (p = 0; p < O_LENGTH (pixel_o); p++)
+ append_pixel (curve, O_COORDINATE (pixel_o, p));
+
+ /* This curve is cyclic. */
+ CURVE_CYCLIC (curve) = true;
+ }
+ else
+ { /* Each curve consists of the points between (inclusive) each pair
+ of corners. */
+ for (this_corner = 0; this_corner < corner_list.length - 1;
+ this_corner++)
+ {
+ curve_type previous_curve = curve;
+ unsigned corner = GET_INDEX (corner_list, this_corner);
+ unsigned next_corner = GET_INDEX (corner_list, this_corner + 1);
+
+ for (p = corner; p <= next_corner; p++)
+ append_pixel (curve, O_COORDINATE (pixel_o, p));
+
+ append_curve (&curve_list, curve);
+ curve = new_curve ();
+ NEXT_CURVE (previous_curve) = curve;
+ PREVIOUS_CURVE (curve) = previous_curve;
+ }
+
+ /* The last curve is different. It consists of the points
+ (inclusive) between the last corner and the end of the list,
+ and the beginning of the list and the first corner. */
+ for (p = GET_LAST_INDEX (corner_list); p < O_LENGTH (pixel_o);
+ p++)
+ append_pixel (curve, O_COORDINATE (pixel_o, p));
+
+ for (p = 0; p <= GET_INDEX (corner_list, 0); p++)
+ append_pixel (curve, O_COORDINATE (pixel_o, p));
+ }
+
+/* LOG1 (" [%u].\n", corner_list.length); */
+
+ /* Add `curve' to the end of the list, updating the pointers in
+ the chain. */
+ append_curve (&curve_list, curve);
+ NEXT_CURVE (curve) = first_curve;
+ PREVIOUS_CURVE (first_curve) = curve;
+
+ /* And now add the just-completed curve list to the array. */
+ append_curve_list (&curve_array, curve_list);
+ } /* End of considering each pixel outline. */
+
+ return curve_array;
+}
+
+
+/* We consider a point to be a corner if (1) the angle defined by the
+ `corner_surround' points coming into it and going out from it is less
+ than `corner_threshold' degrees, and no point within
+ `corner_surround' points has a smaller angle; or (2) the angle is less
+ than `corner_always_threshold' degrees.
+
+ Because of the different cases, it is convenient to have the
+ following macro to append a corner on to the list we return. The
+ character argument C is simply so that the different cases can be
+ distinguished in the log file. */
+
+#define APPEND_CORNER(index, angle, c) \
+ do \
+ { \
+ append_index (&corner_list, index); \
+ /*LOG4 (" (%d,%d)%c%.3f", */ \
+ /* O_COORDINATE (pixel_outline, index).x,*/ \
+ /* O_COORDINATE (pixel_outline, index).y,*/ \
+ /* c, angle);*/ \
+ } \
+ while (0)
+
+static index_list_type
+find_corners (pixel_outline_type pixel_outline)
+{
+ unsigned p;
+ index_list_type corner_list = new_index_list ();
+
+ /* Consider each pixel on the outline in turn. */
+ for (p = 0; p < O_LENGTH (pixel_outline); p++)
+ {
+ real corner_angle;
+ vector_type in_vector, out_vector;
+
+ /* Check if the angle is small enough. */
+ find_vectors (p, pixel_outline, &in_vector, &out_vector);
+ corner_angle = Vangle (in_vector, out_vector);
+
+ if (fabs (corner_angle) <= corner_threshold)
+ {
+ /* We want to keep looking, instead of just appending the
+ first pixel we find with a small enough angle, since there
+ might be another corner within `corner_surround' pixels, with
+ a smaller angle. If that is the case, we want that one. */
+ real best_corner_angle = corner_angle;
+ unsigned best_corner_index = p;
+ index_list_type equally_good_list = new_index_list ();
+ /* As we come into the loop, `p' is the index of the point
+ that has an angle less than `corner_angle'. We use `i' to
+ move through the pixels next to that, and `q' for moving
+ through the adjacent pixels to each `p'. */
+ unsigned q = p;
+ unsigned i = p + 1;
+
+ while (true)
+ {
+ /* Perhaps the angle is sufficiently small that we want to
+ consider this a corner, even if it's not the best
+ (unless we've already wrapped around in the search,
+ i.e., `q<i', in which case we have already added the
+ corner, and we don't want to add it again). We want to
+ do this check on the first candidate we find, as well
+ as the others in the loop, hence this comes before the
+ stopping condition. */
+ if (corner_angle <= corner_always_threshold && q >= p)
+ APPEND_CORNER (q, corner_angle, '\\');
+
+ /* Exit the loop if we've looked at `corner_surround'
+ pixels past the best one we found, or if we've looked
+ at all the pixels. */
+ if (i >= best_corner_index + corner_surround
+ || i >= O_LENGTH (pixel_outline))
+ break;
+
+ /* Check the angle. */
+ q = i % O_LENGTH (pixel_outline);
+ find_vectors (q, pixel_outline, &in_vector, &out_vector);
+ corner_angle = Vangle (in_vector, out_vector);
+
+ /* If we come across a corner that is just as good as the
+ best one, we should make it a corner, too. This
+ happens, for example, at the points on the `W' in some
+ typefaces, where the ``points'' are flat. */
+ if (epsilon_equal (corner_angle, best_corner_angle))
+ append_index (&equally_good_list, q);
+
+ else if (corner_angle < best_corner_angle)
+ {
+ best_corner_angle = corner_angle;
+ /* We want to check `corner_surround' pixels beyond the
+ new best corner. */
+ i = best_corner_index = q;
+ free_index_list (&equally_good_list);
+ equally_good_list = new_index_list ();
+ }
+
+ i++;
+ }
+
+ /* After we exit the loop, `q' is the index of the last point
+ we checked. We have already added the corner if
+ `best_corner_angle' is less than `corner_always_threshold'.
+ Again, if we've already wrapped around, we don't want to
+ add the corner again. */
+ if (best_corner_angle > corner_always_threshold
+ && best_corner_index >= p)
+ {
+ unsigned i;
+
+ APPEND_CORNER (best_corner_index, best_corner_angle, '/');
+
+ for (i = 0; i < INDEX_LIST_LENGTH (equally_good_list); i++)
+ APPEND_CORNER (GET_INDEX (equally_good_list, i),
+ best_corner_angle, '@');
+ free_index_list (&equally_good_list);
+ }
+
+ /* If we wrapped around in our search, we're done; otherwise,
+ we don't want the outer loop to look at the pixels that we
+ already looked at in searching for the best corner. */
+ p = (q < p) ? O_LENGTH (pixel_outline) : q;
+ } /* End of searching for the best corner. */
+ } /* End of considering each pixel. */
+
+ if (INDEX_LIST_LENGTH (corner_list) > 0)
+ /* We never want two corners next to each other, since the
+ only way to fit such a ``curve'' would be with a straight
+ line, which usually interrupts the continuity dreadfully. */
+ remove_adjacent_corners (&corner_list, O_LENGTH (pixel_outline) - 1);
+
+ return corner_list;
+}
+
+
+/* Return the difference vectors coming in and going out of the outline
+ OUTLINE at the point whose index is TEST_INDEX. In Phoenix,
+ Schneider looks at a single point on either side of the point we're
+ considering. That works for him because his points are not touching.
+ But our points *are* touching, and so we have to look at
+ `corner_surround' points on either side, to get a better picture of
+ the outline's shape. */
+
+static void
+find_vectors (unsigned test_index, pixel_outline_type outline,
+ vector_type *in, vector_type *out)
+{
+ int i;
+ unsigned n_done;
+ coordinate_type candidate = O_COORDINATE (outline, test_index);
+
+ in->dx = 0.0;
+ in->dy = 0.0;
+ out->dx = 0.0;
+ out->dy = 0.0;
+
+ /* Add up the differences from p of the `corner_surround' points
+ before p. */
+ for (i = O_PREV (outline, test_index), n_done = 0; n_done < corner_surround;
+ i = O_PREV (outline, i), n_done++)
+ *in = Vadd (*in, IPsubtract (O_COORDINATE (outline, i), candidate));
+
+#if 0
+ /* We don't need this code any more, because now we create the pixel
+ outline from the corners of the pixels, rather than the edges. */
+
+ /* To see why we need this test, consider the following
+ case: four pixels stacked vertically with no other adjacent pixels,
+ i.e., *
+ *x
+ *
+ *
+ *** (etc.) We are considering the pixel marked `x' for cornerhood.
+ The out vector at this point is going to be the zero vector (if
+ `corner_surround' is 3), because the first
+ pixel on the outline is the one above the x, the second pixel x
+ itself, and the third the one below x. (Remember that we go
+ around the edges of the pixels to find the outlines, not the
+ pixels themselves.) */
+ if (magnitude (*in) == 0.0)
+ {
+ WARNING ("Zero magnitude in");
+ return corner_threshold + 1.0;
+ }
+#endif /* 0 */
+
+ /* And the points after p. */
+ for (i = O_NEXT (outline, test_index), n_done = 0; n_done < corner_surround;
+ i = O_NEXT (outline, i), n_done++)
+ *out = Vadd (*out, IPsubtract (O_COORDINATE (outline, i), candidate));
+
+#if 0
+ /* As with the test for the in vector, we don't need this any more. */
+ if (magnitude (*out) == 0.0)
+ {
+ WARNING ("Zero magnitude out");
+ return corner_threshold + 1.0;
+ }
+#endif /* 0 */
+}
+
+
+/* Remove adjacent points from the index list LIST. We do this by first
+ sorting the list and then running through it. Since these lists are
+ quite short, a straight selection sort (e.g., p.139 of the Art of
+ Computer Programming, vol.3) is good enough. LAST_INDEX is the index
+ of the last pixel on the outline, i.e., the next one is the first
+ pixel. We need this for checking the adjacency of the last corner.
+
+ We need to do this because the adjacent corners turn into
+ two-pixel-long curves, which can only be fit by straight lines. */
+
+static void
+remove_adjacent_corners (index_list_type *list, unsigned last_index)
+{
+ unsigned j;
+ unsigned last;
+ index_list_type new = new_index_list ();
+
+ for (j = INDEX_LIST_LENGTH (*list) - 1; j > 0; j--)
+ {
+ unsigned search;
+ unsigned temp;
+ /* Find maximal element below `j'. */
+ unsigned max_index = j;
+
+ for (search = 0; search < j; search++)
+ if (GET_INDEX (*list, search) > GET_INDEX (*list, max_index))
+ max_index = search;
+
+ if (max_index != j)
+ {
+ temp = GET_INDEX (*list, j);
+ GET_INDEX (*list, j) = GET_INDEX (*list, max_index);
+ GET_INDEX (*list, max_index) = temp;
+ printf ("needed exchange"); /* xx -- really have to sort? */
+ }
+ }
+
+ /* The list is sorted. Now look for adjacent entries. Each time
+ through the loop we insert the current entry and, if appropriate,
+ the next entry. */
+ for (j = 0; j < INDEX_LIST_LENGTH (*list) - 1; j++)
+ {
+ unsigned current = GET_INDEX (*list, j);
+ unsigned next = GET_INDEX (*list, j + 1);
+
+ /* We should never have inserted the same element twice. */
+ assert (current != next);
+
+ append_index (&new, current);
+ if (next == current + 1)
+ j++;
+ }
+
+ /* Don't append the last element if it is 1) adjacent to the previous
+ one; or 2) adjacent to the very first one. */
+ last = GET_LAST_INDEX (*list);
+ if (INDEX_LIST_LENGTH (new) == 0
+ || !(last == GET_LAST_INDEX (new) + 1
+ || (last == last_index && GET_INDEX (*list, 0) == 0)))
+ append_index (&new, last);
+
+ free_index_list (list);
+ *list = new;
+}
+
+/* A ``knee'' is a point which forms a ``right angle'' with its
+ predecessor and successor. See the documentation (the `Removing
+ knees' section) for an example and more details.
+
+ The argument CLOCKWISE tells us which direction we're moving. (We
+ can't figure that information out from just the single segment with
+ which we are given to work.)
+
+ We should never find two consecutive knees.
+
+ Since the first and last points are corners (unless the curve is
+ cyclic), it doesn't make sense to remove those. */
+
+/* This evaluates to true if the vector V is zero in one direction and
+ nonzero in the other. */
+#define ONLY_ONE_ZERO(v) \
+ (((v).dx == 0.0 && (v).dy != 0.0) || ((v).dy == 0.0 && (v).dx != 0.0))
+
+
+/* There are four possible cases for knees, one for each of the four
+ corners of a rectangle; and then the cases differ depending on which
+ direction we are going around the curve. The tests are listed here
+ in the order of upper left, upper right, lower right, lower left.
+ Perhaps there is some simple pattern to the
+ clockwise/counterclockwise differences, but I don't see one. */
+#define CLOCKWISE_KNEE(prev_delta, next_delta) \
+ ((prev_delta.dx == -1.0 && next_delta.dy == 1.0) \
+ || (prev_delta.dy == 1.0 && next_delta.dx == 1.0) \
+ || (prev_delta.dx == 1.0 && next_delta.dy == -1.0) \
+ || (prev_delta.dy == -1.0 && next_delta.dx == -1.0))
+
+#define COUNTERCLOCKWISE_KNEE(prev_delta, next_delta) \
+ ((prev_delta.dy == 1.0 && next_delta.dx == -1.0) \
+ || (prev_delta.dx == 1.0 && next_delta.dy == 1.0) \
+ || (prev_delta.dy == -1.0 && next_delta.dx == 1.0) \
+ || (prev_delta.dx == -1.0 && next_delta.dy == -1.0))
+
+static void
+remove_knee_points (curve_type curve, boolean clockwise)
+{
+ int i;
+ unsigned offset = CURVE_CYCLIC (curve) ? 0 : 1;
+ coordinate_type previous
+ = real_to_int_coord (CURVE_POINT (curve, CURVE_PREV (curve, offset)));
+ curve_type trimmed_curve = copy_most_of_curve (curve);
+
+ if (!CURVE_CYCLIC (curve))
+ append_pixel (trimmed_curve, real_to_int_coord (CURVE_POINT (curve, 0)));
+
+ for (i = offset; i < CURVE_LENGTH (curve) - offset; i++)
+ {
+ coordinate_type current
+ = real_to_int_coord (CURVE_POINT (curve, i));
+ coordinate_type next
+ = real_to_int_coord (CURVE_POINT (curve, CURVE_NEXT (curve, i)));
+ vector_type prev_delta = IPsubtract (previous, current);
+ vector_type next_delta = IPsubtract (next, current);
+
+ if (ONLY_ONE_ZERO (prev_delta) && ONLY_ONE_ZERO (next_delta)
+ && ((clockwise && CLOCKWISE_KNEE (prev_delta, next_delta))
+ || (!clockwise
+ && COUNTERCLOCKWISE_KNEE (prev_delta, next_delta))))
+ {
+ /* LOG2 (" (%d,%d)", current.x, current.y); */
+ }
+ else
+ {
+ previous = current;
+ append_pixel (trimmed_curve, current);
+ }
+ }
+
+ if (!CURVE_CYCLIC (curve))
+ append_pixel (trimmed_curve, real_to_int_coord (LAST_CURVE_POINT (curve)));
+
+/* if (CURVE_LENGTH (trimmed_curve) == CURVE_LENGTH (curve)) */
+/* LOG (" (none)"); */
+
+/* LOG (".\n"); */
+
+ free_curve (curve);
+ *curve = *trimmed_curve;
+}
+
+/* Smooth the curve by adding in neighboring points. Do this
+ `filter_iteration_count' times. But don't change the corners. */
+
+#if 0
+/* Computing the new point based on a single neighboring point and with
+ constant percentages, as the `SMOOTH' macro did, isn't quite good
+ enough. For example, at the top of an `o' the curve might well have
+ three consecutive horizontal pixels, even though there isn't really a
+ straight there. With this code, the middle point would remain
+ unfiltered. */
+
+#define SMOOTH(axis) \
+ CURVE_POINT (curve, this_point).axis \
+ = ((1.0 - center_percent) / 2) \
+ * CURVE_POINT (curve, CURVE_PREV (curve, this_point)).axis \
+ + center_percent * CURVE_POINT (curve, this_point).axis \
+ + ((1.0 - center_percent) / 2) \
+ * CURVE_POINT (curve, CURVE_NEXT (curve, this_point)).axis
+#endif /* 0 */
+
+/* We sometimes need to change the information about the filtered point.
+ This macro assigns to the relevant variables. */
+#define FILTER_ASSIGN(new) \
+ do \
+ { \
+ in = in_##new; \
+ out = out_##new; \
+ count = new##_count; \
+ angle = angle_##new; \
+ } \
+ while (0)
+
+static void
+filter (curve_type curve)
+{
+ unsigned iteration, this_point;
+ unsigned offset = CURVE_CYCLIC (curve) ? 0 : 1;
+
+ /* We must have at least three points---the previous one, the current
+ one, and the next one. But if we don't have at least five, we will
+ probably collapse the curve down onto a single point, which means
+ we won't be able to fit it with a spline. */
+ if (CURVE_LENGTH (curve) < 5)
+ {
+/* LOG1 ("Length is %u, not enough to filter.\n", CURVE_LENGTH (curve)); */
+ return;
+ }
+
+ for (iteration = 0; iteration < filter_iteration_count; iteration++)
+ {
+ curve_type new_curve = copy_most_of_curve (curve);
+
+ /* Keep the first point on the curve. */
+ if (offset)
+ append_point (new_curve, CURVE_POINT (curve, 0));
+
+ for (this_point = offset; this_point < CURVE_LENGTH (curve) - offset;
+ this_point++)
+ {
+ real angle, angle_alt;
+ vector_type in, in_alt, out, out_alt, sum;
+ unsigned count, alt_count;
+ real_coordinate_type new_point;
+
+ /* Find the angle using the usual number of surrounding points
+ on the curve. */
+ find_curve_vectors (this_point, curve, filter_surround,
+ &in, &out, &count);
+ angle = filter_angle (in, out);
+
+ /* Find the angle using the alternative (presumably smaller)
+ number. */
+ find_curve_vectors (this_point, curve, filter_alternative_surround,
+ &in_alt, &out_alt, &alt_count);
+ angle_alt = filter_angle (in_alt, out_alt);
+
+ /* If the alternate angle is enough larger than the usual one
+ and neither of the components of the sum are zero, use it.
+ (We don't use absolute value here, since if the alternate
+ angle is smaller, we don't particularly care, since that
+ means the curve is pretty flat around the current point,
+ anyway.) This helps keep small features from disappearing
+ into the surrounding curve. */
+ sum = Vadd (in_alt, out_alt);
+ if (angle_alt - angle >= filter_epsilon
+ && sum.dx != 0 && sum.dy != 0)
+ FILTER_ASSIGN (alt);
+
+#if 0
+/* This code isn't needed anymore, since we do the filtering in a
+ somewhat more general way. */
+ /* If we're left with an angle of zero, don't stop yet; we
+ might be at a straight which really isn't one (as in the `o'
+ discussed above). */
+ if (epsilon_equal (angle, 0.0))
+ {
+ real angle_secondary;
+ vector_type in_secondary, out_secondary;
+ unsigned in_secondary_count, out_secondary_count;
+
+ find_curve_vectors (this_point, curve, filter_secondary_surround,
+ &in_secondary, &out_secondary,
+ &in_secondary_count, &out_secondary_count);
+ angle_secondary = filter_angle (in_secondary, out_secondary);
+ if (!epsilon_equal (angle_secondary, 0.0))
+ FILTER_ASSIGN (secondary);
+ }
+#endif /* 0 */
+
+ /* Start with the old point. */
+ new_point = CURVE_POINT (curve, this_point);
+ sum = Vadd (in, out);
+ new_point.x += sum.dx * filter_percent / count;
+ new_point.y += sum.dy * filter_percent / count;
+
+ /* Put the newly computed point into a separate curve, so it
+ doesn't affect future computation (on this iteration). */
+ append_point (new_curve, new_point);
+ }
+
+ /* Just as with the first point, we have to keep the last point. */
+ if (offset)
+ append_point (new_curve, LAST_CURVE_POINT (curve));
+
+ /* Set the original curve to the newly filtered one, and go again. */
+ free_curve (curve);
+ *curve = *new_curve;
+ }
+
+/* log_curve (curve, false); */
+/* display_curve (curve); */
+}
+
+
+/* Return the vectors IN and OUT, computed by looking at SURROUND points
+ on either side of TEST_INDEX. Also return the number of points in
+ the vectors in COUNT (we make sure they are the same). */
+
+static void
+find_curve_vectors (unsigned test_index, curve_type curve,
+ unsigned surround,
+ vector_type *in, vector_type *out, unsigned *count)
+{
+ int i;
+ unsigned in_count, out_count;
+ unsigned n_done;
+ real_coordinate_type candidate = CURVE_POINT (curve, test_index);
+
+ /* Add up the differences from p of the `surround' points
+ before p. */
+
+ in->dx = 0.0;
+ in->dy = 0.0;
+
+ for (i = CURVE_PREV (curve, test_index), n_done = 0;
+ i >= 0 && n_done < surround; /* Do not wrap around. */
+ i = CURVE_PREV (curve, i), n_done++)
+ *in = Vadd (*in, Psubtract (CURVE_POINT (curve, i), candidate));
+ in_count = n_done;
+
+ /* And the points after p. Don't use more points after p than we
+ ended up with before it. */
+ out->dx = 0.0;
+ out->dy = 0.0;
+
+ for (i = CURVE_NEXT (curve, test_index), n_done = 0;
+ i < CURVE_LENGTH (curve) && n_done < surround && n_done < in_count;
+ i = CURVE_NEXT (curve, i), n_done++)
+ *out = Vadd (*out, Psubtract (CURVE_POINT (curve, i), candidate));
+ out_count = n_done;
+
+ /* If we used more points before p than after p, we have to go back
+ and redo it. (We could just subtract the ones that were missing,
+ but for this few of points, efficiency doesn't matter.) */
+ if (out_count < in_count)
+ {
+ in->dx = 0.0;
+ in->dy = 0.0;
+
+ for (i = CURVE_PREV (curve, test_index), n_done = 0;
+ i >= 0 && n_done < out_count;
+ i = CURVE_PREV (curve, i), n_done++)
+ *in = Vadd (*in, Psubtract (CURVE_POINT (curve, i), candidate));
+ in_count = n_done;
+ }
+
+ assert (in_count == out_count);
+ *count = in_count;
+}
+
+
+/* Find the angle between the vectors IN and OUT, and bring it into the
+ range [0,45]. */
+
+static real
+filter_angle (vector_type in, vector_type out)
+{
+ real angle = Vangle (in, out);
+
+ /* What we want to do between 90 and 180 is the same as what we
+ want to do between 0 and 90. */
+ angle = fmod (angle, 1990.0);
+
+ /* And what we want to do between 45 and 90 is the same as
+ between 0 and 45, only reversed. */
+ if (angle > 45.0) angle = 90.0 - angle;
+
+ return angle;
+}
+
+/* This routine returns the curve fitted to a straight line in a very
+ simple way: make the first and last points on the curve be the
+ endpoints of the line. This simplicity is justified because we are
+ called only on very short curves. */
+
+static spline_list_type *
+fit_with_line (curve_type curve)
+{
+ spline_type line = new_spline ();
+
+/* LOG ("Fitting with straight line:\n"); */
+/* REPORT ("l"); */
+
+ SPLINE_DEGREE (line) = LINEAR;
+ START_POINT (line) = CONTROL1 (line) = CURVE_POINT (curve, 0);
+ END_POINT (line) = CONTROL2 (line) = LAST_CURVE_POINT (curve);
+
+ /* Make sure that this line is never changed to a cubic. */
+ SPLINE_LINEARITY (line) = 0;
+
+/* if (logging) */
+/* { */
+/* LOG (" "); */
+/* print_spline (log_file, line); */
+/* } */
+
+ return init_spline_list (line);
+}
+
+/* The least squares method is well described in Schneider's thesis.
+ Briefly, we try to fit the entire curve with one spline. If that fails,
+ we try reparameterizing, i.e., finding new, and supposedly better,
+ t values. If that still fails, we subdivide the curve. */
+
+static spline_list_type *
+fit_with_least_squares (curve_type curve)
+{
+ real error, best_error = FLT_MAX;
+ spline_type spline, best_spline;
+ spline_list_type *spline_list;
+ unsigned worst_point;
+ unsigned iteration = 0;
+ real previous_error = FLT_MAX;
+ real improvement = FLT_MAX;
+
+ /* FIXME: Initialize best_spline to zeroes. This is strictly not
+ necessary as best_spline is always set in the loop below. But the
+ compiler thinks it isn't and warns. Ideally, the code should be
+ rewritten such that best_spline and best_error are initialized with
+ the first values before the loop begins. */
+ memset (&best_spline, 0, sizeof best_spline);
+
+/* LOG ("\nFitting with least squares:\n"); */
+
+ /* Phoenix reduces the number of points with a ``linear spline
+ technique''. But for fitting letterforms, that is
+ inappropriate. We want all the points we can get. */
+
+ /* It makes no difference whether we first set the `t' values or
+ find the tangents. This order makes the documentation a little
+ more coherent. */
+
+/* LOG ("Finding tangents:\n"); */
+ find_tangent (curve, /* to_start */ true, /* cross_curve */ false);
+ find_tangent (curve, /* to_start */ false, /* cross_curve */ false);
+
+ set_initial_parameter_values (curve);
+
+ /* Now we loop, reparameterizing and/or subdividing, until CURVE has
+ been fit. */
+ while (true)
+ {
+/* LOG (" fitted to spline:\n"); */
+
+ spline = fit_one_spline (curve);
+
+/* if (logging) */
+/* { */
+/* LOG (" "); */
+/* print_spline (log_file, spline); */
+/* } */
+
+ error = find_error (curve, spline, &worst_point);
+ if (error > previous_error)
+ {
+/* LOG ("Reparameterization made it worse.\n"); */
+ /* Just fall through; we will subdivide. */
+ }
+ else
+ {
+ best_error = error;
+ best_spline = spline;
+ }
+
+ improvement = 1.0 - error / previous_error;
+
+ /* Don't exit, even if the error is less than `error_threshold',
+ since we might be able to improve the fit with further
+ reparameterization. If the reparameterization made it worse,
+ we will exit here, since `improvement' will be negative. */
+ if (improvement < reparameterize_improvement
+ || error > reparameterize_threshold)
+ break;
+
+ iteration++;
+/* LOG3 ("Reparameterization #%u (error was %.3f, a %u%% improvement):\n", */
+/* iteration, error, ((unsigned) (improvement * 100.0))); */
+
+ /* The reparameterization might fail, if the initial fit was
+ better than `reparameterize_threshold', yet worse than the
+ Newton-Raphson algorithm could handle. */
+ if (!reparameterize (curve, spline))
+ break;
+
+ previous_error = error;
+ }
+
+ /* Go back to the best fit. */
+ spline = best_spline;
+ error = best_error;
+
+ if (error < error_threshold)
+ {
+ /* The points were fitted with a (possibly reparameterized)
+ spline. We end up here whenever a fit is accepted. We have
+ one more job: see if the ``curve'' that was fit should really
+ be a straight line. */
+ if (spline_linear_enough (&spline, curve))
+ {
+ SPLINE_DEGREE (spline) = LINEAR;
+/* LOG ("Changed to line.\n"); */
+ }
+ spline_list = init_spline_list (spline);
+/* LOG1 ("Accepted error of %.3f.\n", error); */
+ }
+ else
+ {
+ /* We couldn't fit the curve acceptably, so subdivide. */
+ unsigned subdivision_index;
+ spline_list_type *left_spline_list;
+ spline_list_type *right_spline_list;
+ curve_type left_curve = new_curve ();
+ curve_type right_curve = new_curve ();
+
+ /* Keep the linked list of curves intact. */
+ NEXT_CURVE (right_curve) = NEXT_CURVE (curve);
+ PREVIOUS_CURVE (right_curve) = left_curve;
+ NEXT_CURVE (left_curve) = right_curve;
+ PREVIOUS_CURVE (left_curve) = curve;
+ NEXT_CURVE (curve) = left_curve;
+
+/* REPORT ("s"); */
+/* LOG1 ("\nSubdividing (error %.3f):\n", error); */
+/* LOG3 (" Original point: (%.3f,%.3f), #%u.\n", */
+/* CURVE_POINT (curve, worst_point).x, */
+/* CURVE_POINT (curve, worst_point).y, worst_point); */
+ subdivision_index = find_subdivision (curve, worst_point);
+/* LOG3 (" Final point: (%.3f,%.3f), #%u.\n", */
+/* CURVE_POINT (curve, subdivision_index).x, */
+/* CURVE_POINT (curve, subdivision_index).y, subdivision_index); */
+/* display_subdivision (CURVE_POINT (curve, subdivision_index)); */
+
+ /* The last point of the left-hand curve will also be the first
+ point of the right-hand curve. */
+ CURVE_LENGTH (left_curve) = subdivision_index + 1;
+ CURVE_LENGTH (right_curve) = CURVE_LENGTH (curve) - subdivision_index;
+ left_curve->point_list = curve->point_list;
+ right_curve->point_list = curve->point_list + subdivision_index;
+
+ /* We want to use the tangents of the curve which we are
+ subdividing for the start tangent for left_curve and the
+ end tangent for right_curve. */
+ CURVE_START_TANGENT (left_curve) = CURVE_START_TANGENT (curve);
+ CURVE_END_TANGENT (right_curve) = CURVE_END_TANGENT (curve);
+
+ /* We have to set up the two curves before finding the tangent at
+ the subdivision point. The tangent at that point must be the
+ same for both curves, or noticeable bumps will occur in the
+ character. But we want to use information on both sides of the
+ point to compute the tangent, hence cross_curve = true. */
+ find_tangent (left_curve, /* to_start_point: */ false,
+ /* cross_curve: */ true);
+ CURVE_START_TANGENT (right_curve) = CURVE_END_TANGENT (left_curve);
+
+ /* Now that we've set up the curves, we can fit them. */
+ left_spline_list = fit_curve (left_curve);
+ right_spline_list = fit_curve (right_curve);
+
+ /* Neither of the subdivided curves could be fit, so fail. */
+ if (left_spline_list == NULL && right_spline_list == NULL)
+ return NULL;
+
+ /* Put the two together (or whichever of them exist). */
+ spline_list = new_spline_list ();
+
+ if (left_spline_list == NULL)
+ {
+ WARNING ("could not fit left spline list");
+/* LOG1 ("Could not fit spline to left curve (%x).\n", */
+/* (unsigned) left_curve); */
+ }
+ else
+ concat_spline_lists (spline_list, *left_spline_list);
+
+ if (right_spline_list == NULL)
+ {
+ WARNING ("could not fit right spline list");
+/* LOG1 ("Could not fit spline to right curve (%x).\n", */
+/* (unsigned) right_curve); */
+ }
+ else
+ concat_spline_lists (spline_list, *right_spline_list);
+ }
+
+ return spline_list;
+}
+
+
+/* Our job here is to find alpha1 (and alpha2), where t1_hat (t2_hat) is
+ the tangent to CURVE at the starting (ending) point, such that:
+
+ control1 = alpha1*t1_hat + starting point
+ control2 = alpha2*t2_hat + ending_point
+
+ and the resulting spline (starting_point .. control1 and control2 ..
+ ending_point) minimizes the least-square error from CURVE.
+
+ See pp.57--59 of the Phoenix thesis.
+
+ The B?(t) here corresponds to B_i^3(U_i) there.
+ The Bernshte\u in polynomials of degree n are defined by
+ B_i^n(t) = { n \choose i } t^i (1-t)^{n-i}, i = 0..n */
+
+#define B0(t) CUBE (1 - (t))
+#define B1(t) (3.0 * (t) * SQUARE (1 - (t)))
+#define B2(t) (3.0 * SQUARE (t) * (1 - (t)))
+#define B3(t) CUBE (t)
+
+#define U(i) CURVE_T (curve, i)
+
+static spline_type
+fit_one_spline (curve_type curve)
+{
+ /* Since our arrays are zero-based, the `C0' and `C1' here correspond
+ to `C1' and `C2' in the paper. */
+ real X_C1_det, C0_X_det, C0_C1_det;
+ real alpha1, alpha2;
+ spline_type spline;
+ vector_type start_vector, end_vector;
+ unsigned i;
+ vector_type t1_hat = *CURVE_START_TANGENT (curve);
+ vector_type t2_hat = *CURVE_END_TANGENT (curve);
+ real C[2][2] = { { 0.0, 0.0 }, { 0.0, 0.0 } };
+ real X[2] = { 0.0, 0.0 };
+ int Alen = CURVE_LENGTH (curve);
+ vector_type *A;
+
+ A = g_new0 (vector_type, Alen * 2);
+
+ START_POINT (spline) = CURVE_POINT (curve, 0);
+ END_POINT (spline) = LAST_CURVE_POINT (curve);
+ SPLINE_LINEARITY (spline) = 0;
+ start_vector = make_vector (START_POINT (spline));
+ end_vector = make_vector (END_POINT (spline));
+
+ for (i = 0; i < CURVE_LENGTH (curve); i++)
+ {
+ A[i*2+0] = Vmult_scalar (t1_hat, B1 (U (i)));
+ A[i*2+1] = Vmult_scalar (t2_hat, B2 (U (i)));
+ }
+
+ for (i = 0; i < CURVE_LENGTH (curve); i++)
+ {
+ vector_type temp, temp0, temp1, temp2, temp3;
+ vector_type *Ai = &A[i*2];
+
+ C[0][0] += Vdot (Ai[0], Ai[0]);
+ C[0][1] += Vdot (Ai[0], Ai[1]);
+ /* C[1][0] = C[0][1] (this is assigned outside the loop) */
+ C[1][1] += Vdot (Ai[1], Ai[1]);
+
+ /* Now the right-hand side of the equation in the paper. */
+ temp0 = Vmult_scalar (start_vector, B0 (U (i)));
+ temp1 = Vmult_scalar (start_vector, B1 (U (i)));
+ temp2 = Vmult_scalar (end_vector, B2 (U (i)));
+ temp3 = Vmult_scalar (end_vector, B3 (U (i)));
+
+ temp = make_vector (Vsubtract_point (CURVE_POINT (curve, i),
+ Vadd (temp0, Vadd (temp1, Vadd (temp2, temp3)))));
+
+ X[0] += Vdot (temp, Ai[0]);
+ X[1] += Vdot (temp, Ai[1]);
+ }
+
+ C[1][0] = C[0][1];
+
+ X_C1_det = X[0] * C[1][1] - X[1] * C[0][1];
+ C0_X_det = C[0][0] * X[1] - C[0][1] * X[0];
+ C0_C1_det = C[0][0] * C[1][1] - C[1][0] * C[0][1];
+ if (C0_C1_det == 0.0)
+ FATAL ("zero determinant of C0*C1");
+
+ alpha1 = X_C1_det / C0_C1_det;
+ alpha2 = C0_X_det / C0_C1_det;
+
+ CONTROL1 (spline) = Vadd_point (START_POINT (spline),
+ Vmult_scalar (t1_hat, alpha1));
+ CONTROL2 (spline) = Vadd_point (END_POINT (spline),
+ Vmult_scalar (t2_hat, alpha2));
+ SPLINE_DEGREE (spline) = CUBIC;
+
+ g_free (A);
+
+ return spline;
+}
+
+/* Find closer-to-optimal t values for the given x,y's and control
+ points, using Newton-Raphson iteration. A good description of this
+ is in Plass & Stone. This routine performs one step in the
+ iteration, not the whole thing. */
+
+static boolean
+reparameterize (curve_type curve, spline_type S)
+{
+ unsigned p, i;
+ spline_type S1, S2; /* S' and S''. */
+
+/* REPORT ("r"); */
+
+ /* Find the first and second derivatives of S. To make
+ `evaluate_spline' work, we fill the beginning points (i.e., the first
+ two for a linear spline and the first three for a quadratic one),
+ even though this is at odds with the rest of the program. */
+ for (i = 0; i < 3; i++)
+ {
+ S1.v[i].x = 3.0 * (S.v[i + 1].x - S.v[i].x);
+ S1.v[i].y = 3.0 * (S.v[i + 1].y - S.v[i].y);
+ }
+ S1.v[i].x = S1.v[i].y = -1.0; /* These will never be accessed. */
+ SPLINE_DEGREE (S1) = QUADRATIC;
+
+ for (i = 0; i < 2; i++)
+ {
+ S2.v[i].x = 2.0 * (S1.v[i + 1].x - S1.v[i].x);
+ S2.v[i].y = 2.0 * (S1.v[i + 1].y - S1.v[i].y);
+ }
+ S2.v[2].x = S2.v[2].y = S2.v[3].x = S2.v[3].y = -1.0;
+ SPLINE_DEGREE (S2) = LINEAR;
+
+ for (p = 0; p < CURVE_LENGTH (curve); p++)
+ {
+ real new_distance, old_distance;
+ real_coordinate_type new_point;
+ real_coordinate_type point = CURVE_POINT (curve, p);
+ real t = CURVE_T (curve, p);
+
+ /* Find the points at this t on S, S', and S''. */
+ real_coordinate_type S_t = evaluate_spline (S, t);
+ real_coordinate_type S1_t = evaluate_spline (S1, t);
+ real_coordinate_type S2_t = evaluate_spline (S2, t);
+
+ /* The differences in x and y (Q1(t) on p.62 of Schneider's thesis). */
+ real_coordinate_type d;
+ real numerator;
+ real denominator;
+
+ d.x = S_t.x - point.x;
+ d.y = S_t.y - point.y;
+
+ /* The step size, f(t)/f'(t). */
+ numerator = d.x * S1_t.x + d.y * S1_t.y;
+ denominator = (SQUARE (S1_t.x) + d.x * S2_t.x
+ + SQUARE (S1_t.y) + d.y * S2_t.y);
+
+ /* We compute the distances only to be able to check that we
+ really are moving closer. I don't know how this condition can
+ be reliably checked for in advance, but I know what it means in
+ practice: the original fit was not good enough for the
+ Newton-Raphson iteration to converge. Therefore, we need to
+ abort the reparameterization, and subdivide. */
+ old_distance = distance (S_t, point);
+ CURVE_T (curve, p) -= numerator / denominator;
+ new_point = evaluate_spline (S, CURVE_T (curve, p));
+ new_distance = distance (new_point, point);
+
+ if (new_distance > old_distance)
+ {
+/* REPORT ("!"); */
+/* LOG3 (" Stopped reparameterizing; %.3f > %.3f at point %u.\n", */
+/* new_distance, old_distance, p); */
+ return false;
+ }
+
+ /* The t value might be negative or > 1, if the choice of control
+ points wasn't so great. We have no difficulty in evaluating
+ a spline at a t outside the range zero to one, though, so it
+ doesn't matter. (Although it is a little unconventional.) */
+ }
+/* LOG (" reparameterized curve:\n "); */
+/* log_curve (curve, true); */
+
+ return true;
+}
+
+/* This routine finds the best place to subdivide the curve CURVE,
+ somewhere near to the point whose index is INITIAL. Originally,
+ curves were always subdivided at the point of worst error, which is
+ intuitively appealing, but doesn't always give the best results. For
+ example, at the end of a serif that tapers into the stem, the best
+ subdivision point is at the point where they join, even if the worst
+ point is a little ways into the serif.
+
+ We return the index of the point at which to subdivide. */
+
+static unsigned
+find_subdivision (curve_type curve, unsigned initial)
+{
+ unsigned i, n_done;
+ int best_point = -1;
+ vector_type best = { FLT_MAX, FLT_MAX };
+ unsigned search = subdivide_search * CURVE_LENGTH (curve);
+
+/* LOG1 (" Number of points to search: %u.\n", search); */
+
+ /* We don't want to find the first (or last) point in the curve. */
+ for (i = initial, n_done = 0; i > 0 && n_done < search;
+ i = CURVE_PREV (curve, i), n_done++)
+ {
+ if (test_subdivision_point (curve, i, &best))
+ {
+ best_point = i;
+/* LOG3 (" Better point: (%.3f,%.3f), #%u.\n", */
+/* CURVE_POINT (curve, i).x, CURVE_POINT (curve, i).y, i); */
+ }
+ }
+
+ /* If we found a good one, let's take it. */
+ if (best_point != -1)
+ return best_point;
+
+ for (i = CURVE_NEXT (curve, initial), n_done = 0;
+ i < CURVE_LENGTH (curve) - 1 && n_done < search;
+ i = CURVE_NEXT (curve, i), n_done++)
+ {
+ if (test_subdivision_point (curve, i, &best))
+ {
+ best_point = i;
+/* LOG3 (" Better point at (%.3f,%.3f), #%u.\n", */
+/* CURVE_POINT (curve, i).x, CURVE_POINT (curve, i).y, i); */
+ }
+ }
+
+ /* If we didn't find any better point, return the original. */
+ return best_point == -1 ? initial : best_point;
+}
+
+
+/* Here are some macros that decide whether or not we're at a
+ ``join point'', as described above. */
+#define ONLY_ONE_LESS(v) \
+ (((v).dx < subdivide_threshold && (v).dy > subdivide_threshold) \
+ || ((v).dy < subdivide_threshold && (v).dx > subdivide_threshold))
+
+#define BOTH_GREATER(v) \
+ ((v).dx > subdivide_threshold && (v).dy > subdivide_threshold)
+
+/* We assume that the vectors V1 and V2 are nonnegative. */
+#define JOIN(v1, v2) \
+ ((ONLY_ONE_LESS (v1) && BOTH_GREATER (v2)) \
+ || (ONLY_ONE_LESS (v2) && BOTH_GREATER (v1)))
+
+/* If the component D of the vector V is smaller than the best so far,
+ update the best point. */
+#define UPDATE_BEST(v, d) \
+ do \
+ { \
+ if ((v).d < subdivide_threshold && (v).d < best->d) \
+ best->d = (v).d; \
+ } \
+ while (0)
+
+
+/* If the point INDEX in the curve CURVE is the best subdivision point
+ we've found so far, update the vector BEST. */
+
+static boolean
+test_subdivision_point (curve_type curve, unsigned index, vector_type *best)
+{
+ unsigned count;
+ vector_type in, out;
+ boolean join = false;
+
+ find_curve_vectors (index, curve, subdivide_surround, &in, &out, &count);
+
+ /* We don't want to subdivide at points which are very close to the
+ endpoints, so if the vectors aren't computed from as many points as
+ we asked for, don't bother checking this point. */
+ if (count == subdivide_surround)
+ {
+ in = Vabs (in);
+ out = Vabs (out);
+
+ join = JOIN (in, out);
+ if (join)
+ {
+ UPDATE_BEST (in, dx);
+ UPDATE_BEST (in, dy);
+ UPDATE_BEST (out, dx);
+ UPDATE_BEST (out, dy);
+ }
+ }
+
+ return join;
+}
+
+/* Find reasonable values for t for each point on CURVE. The method is
+ called chord-length parameterization, which is described in Plass &
+ Stone. The basic idea is just to use the distance from one point to
+ the next as the t value, normalized to produce values that increase
+ from zero for the first point to one for the last point. */
+
+static void
+set_initial_parameter_values (curve_type curve)
+{
+ unsigned p;
+
+/* LOG ("\nAssigning initial t values:\n "); */
+
+ CURVE_T (curve, 0) = 0.0;
+
+ for (p = 1; p < CURVE_LENGTH (curve); p++)
+ {
+ real_coordinate_type point = CURVE_POINT (curve, p),
+ previous_p = CURVE_POINT (curve, p - 1);
+ real d = distance (point, previous_p);
+ CURVE_T (curve, p) = CURVE_T (curve, p - 1) + d;
+ }
+
+ assert (LAST_CURVE_T (curve) != 0.0);
+
+ for (p = 1; p < CURVE_LENGTH (curve); p++)
+ CURVE_T (curve, p) = CURVE_T (curve, p) / LAST_CURVE_T (curve);
+
+/* log_entire_curve (curve); */
+}
+
+/* Find an approximation to the tangent to an endpoint of CURVE (to the
+ first point if TO_START_POINT is true, else the last). If
+ CROSS_CURVE is true, consider points on the adjacent curve to CURVE.
+
+ It is important to compute an accurate approximation, because the
+ control points that we eventually decide upon to fit the curve will
+ be placed on the half-lines defined by the tangents and
+ endpoints...and we never recompute the tangent after this. */
+
+static void
+find_tangent (curve_type curve, boolean to_start_point, boolean cross_curve)
+{
+ vector_type tangent;
+ vector_type **curve_tangent = to_start_point ? &(CURVE_START_TANGENT (curve))
+ : &(CURVE_END_TANGENT (curve));
+ unsigned n_points = 0;
+
+/* LOG1 (" tangent to %s: ", to_start_point ? "start" : "end"); */
+
+ if (*curve_tangent == NULL)
+ {
+ *curve_tangent = g_new (vector_type, 1);
+ tangent = find_half_tangent (curve, to_start_point, &n_points);
+
+ if (cross_curve)
+ {
+ curve_type adjacent_curve
+ = to_start_point ? PREVIOUS_CURVE (curve) : NEXT_CURVE (curve);
+ vector_type tangent2
+ = find_half_tangent (adjacent_curve, !to_start_point, &n_points);
+
+/* LOG2 ("(adjacent curve half tangent (%.3f,%.3f)) ", */
+/* tangent2.dx, tangent2.dy); */
+ tangent = Vadd (tangent, tangent2);
+ }
+
+ assert (n_points > 0);
+ **curve_tangent = Vmult_scalar (tangent, 1.0 / n_points);
+ }
+ else
+ {
+/* LOG ("(already computed) "); */
+ }
+
+/* LOG2 ("(%.3f,%.3f).\n", (*curve_tangent)->dx, (*curve_tangent)->dy); */
+}
+
+
+/* Find the change in y and change in x for `tangent_surround' (a global)
+ points along CURVE. Increment N_POINTS by the number of points we
+ actually look at. */
+
+static vector_type
+find_half_tangent (curve_type c, boolean to_start_point, unsigned *n_points)
+{
+ unsigned p;
+ int factor = to_start_point ? 1 : -1;
+ unsigned tangent_index = to_start_point ? 0 : c->length - 1;
+ real_coordinate_type tangent_point = CURVE_POINT (c, tangent_index);
+ vector_type tangent;
+
+ tangent.dx = 0.0;
+ tangent.dy = 0.0;
+
+ for (p = 1; p <= tangent_surround; p++)
+ {
+ int this_index = p * factor + tangent_index;
+ real_coordinate_type this_point;
+
+ if (this_index < 0 || this_index >= c->length)
+ break;
+
+ this_point = CURVE_POINT (c, p * factor + tangent_index);
+
+ /* Perhaps we should weight the tangent from `this_point' by some
+ factor dependent on the distance from the tangent point. */
+ tangent = Vadd (tangent,
+ Vmult_scalar (Psubtract (this_point, tangent_point),
+ factor));
+ (*n_points)++;
+ }
+
+ return tangent;
+}
+
+/* When this routine is called, we have computed a spline representation
+ for the digitized curve. The question is, how good is it? If the
+ fit is very good indeed, we might have an error of zero on each
+ point, and then WORST_POINT becomes irrelevant. But normally, we
+ return the error at the worst point, and the index of that point in
+ WORST_POINT. The error computation itself is the Euclidean distance
+ from the original curve CURVE to the fitted spline SPLINE. */
+
+static real
+find_error (curve_type curve, spline_type spline, unsigned *worst_point)
+{
+ unsigned this_point;
+ real total_error = 0.0;
+ real worst_error = FLT_MIN;
+
+ *worst_point = CURVE_LENGTH (curve) + 1; /* A sentinel value. */
+
+ for (this_point = 0; this_point < CURVE_LENGTH (curve); this_point++)
+ {
+ real_coordinate_type curve_point = CURVE_POINT (curve, this_point);
+ real t = CURVE_T (curve, this_point);
+ real_coordinate_type spline_point = evaluate_spline (spline, t);
+ real this_error = distance (curve_point, spline_point);
+
+ if (this_error > worst_error)
+ {
+ *worst_point = this_point;
+ worst_error = this_error;
+ }
+ total_error += this_error;
+ }
+
+ if (*worst_point == CURVE_LENGTH (curve) + 1)
+ { /* Didn't have any ``worst point''; the error should be zero. */
+ if (epsilon_equal (total_error, 0.0))
+ {
+/* LOG (" Every point fit perfectly.\n"); */
+ }
+ else
+ printf ("No worst point found; something is wrong");
+ }
+ else
+ {
+/* LOG4 (" Worst error (at (%.3f,%.3f), point #%u) was %.3f.\n", */
+/* CURVE_POINT (curve, *worst_point).x, */
+/* CURVE_POINT (curve, *worst_point).y, *worst_point, worst_error); */
+/* LOG1 (" Total error was %.3f.\n", total_error); */
+/* LOG2 (" Average error (over %u points) was %.3f.\n", */
+/* CURVE_LENGTH (curve), total_error / CURVE_LENGTH (curve)); */
+ }
+
+ return worst_error;
+}
+
+/* Supposing that we have accepted the error, another question arises:
+ would we be better off just using a straight line? */
+
+static boolean
+spline_linear_enough (spline_type *spline, curve_type curve)
+{
+ real A, B, C, slope;
+ unsigned this_point;
+ real distance = 0.0;
+
+/* LOG ("Checking linearity:\n"); */
+
+ /* For a line described by Ax + By + C = 0, the distance d from a
+ point (x0,y0) to that line is:
+
+ d = | Ax0 + By0 + C | / sqrt (A^2 + B^2).
+
+ We can find A, B, and C from the starting and ending points,
+ unless the line defined by those two points is vertical. */
+
+ if (epsilon_equal (START_POINT (*spline).x, END_POINT (*spline).x))
+ {
+ A = 1;
+ B = 0;
+ C = -START_POINT (*spline).x;
+ }
+ else
+ {
+ /* Plug the spline's starting and ending points into the two-point
+ equation for a line, that is,
+
+ (y - y1) = ((y2 - y1)/(x2 - x1)) * (x - x1)
+
+ to get the values for A, B, and C. */
+
+ slope = ((END_POINT (*spline).y - START_POINT (*spline).y)
+ / (END_POINT (*spline).x - START_POINT (*spline).x));
+ A = -slope;
+ B = 1;
+ C = slope * START_POINT (*spline).x - START_POINT (*spline).y;
+ }
+/* LOG3 (" Line is %.3fx + %.3fy + %.3f = 0.\n", A, B, C); */
+
+ for (this_point = 0; this_point < CURVE_LENGTH (curve); this_point++)
+ {
+ real t = CURVE_T (curve, this_point);
+ real_coordinate_type spline_point = evaluate_spline (*spline, t);
+
+ distance += fabs (A * spline_point.x + B * spline_point.y + C)
+ / sqrt (A * A + B * B);
+ }
+/* LOG1 (" Total distance is %.3f, ", distance); */
+
+ distance /= CURVE_LENGTH (curve);
+/* LOG1 ("which is %.3f normalized.\n", distance); */
+
+ /* We want reversion of short curves to splines to be more likely than
+ reversion of long curves, hence the second division by the curve
+ length, for use in `change_bad_lines'. */
+ SPLINE_LINEARITY (*spline) = distance / CURVE_LENGTH (curve);
+/* LOG1 (" Final linearity: %.3f.\n", SPLINE_LINEARITY (*spline)); */
+
+ return distance < line_threshold;
+}
+
+
+/* Unfortunately, we cannot tell in isolation whether a given spline
+ should be changed to a line or not. That can only be known after the
+ entire curve has been fit to a list of splines. (The curve is the
+ pixel outline between two corners.) After subdividing the curve, a
+ line may very well fit a portion of the curve just as well as the
+ spline---but unless a spline is truly close to being a line, it
+ should not be combined with other lines. */
+
+static void
+change_bad_lines (spline_list_type *spline_list)
+{
+ unsigned this_spline;
+ boolean found_cubic = false;
+ unsigned length = SPLINE_LIST_LENGTH (*spline_list);
+
+/* LOG1 ("\nChecking for bad lines (length %u):\n", length); */
+
+ /* First see if there are any splines in the fitted shape. */
+ for (this_spline = 0; this_spline < length; this_spline++)
+ {
+ if (SPLINE_DEGREE (SPLINE_LIST_ELT (*spline_list, this_spline)) == CUBIC)
+ {
+ found_cubic = true;
+ break;
+ }
+ }
+
+ /* If so, change lines back to splines (we haven't done anything to
+ their control points, so we only have to change the degree) unless
+ the spline is close enough to being a line. */
+ if (found_cubic)
+ for (this_spline = 0; this_spline < length; this_spline++)
+ {
+ spline_type s = SPLINE_LIST_ELT (*spline_list, this_spline);
+
+ if (SPLINE_DEGREE (s) == LINEAR)
+ {
+/* LOG1 (" #%u: ", this_spline); */
+ if (SPLINE_LINEARITY (s) > line_reversion_threshold)
+ {
+/* LOG ("reverted, "); */
+ SPLINE_DEGREE (SPLINE_LIST_ELT (*spline_list, this_spline))
+ = CUBIC;
+ }
+/* LOG1 ("linearity %.3f.\n", SPLINE_LINEARITY (s)); */
+ }
+ }
+ else
+ {
+/* LOG (" No lines.\n"); */
+ }
+}
+
+/* When we have finished fitting an entire pixel outline to a spline
+ list L, we go through L to ensure that any endpoints that are ``close
+ enough'' (i.e., within `align_threshold') to being the same really
+ are the same. */
+
+/* This macro adjusts the AXIS axis on the starting and ending points on
+ a particular spline if necessary. */
+#define TRY_AXIS(axis) \
+ do \
+ { \
+ real delta = fabs (end.axis - start.axis); \
+ \
+ if (!epsilon_equal (delta, 0.0) && delta <= align_threshold) \
+ { \
+ spline_type *next = &NEXT_SPLINE_LIST_ELT (*l, this_spline); \
+ spline_type *prev = &PREV_SPLINE_LIST_ELT (*l, this_spline); \
+ \
+ START_POINT (*s).axis = END_POINT (*s).axis \
+ = END_POINT (*prev).axis = START_POINT (*next).axis \
+ = (start.axis + end.axis) / 2; \
+ spline_change = true; \
+ } \
+ } \
+ while (0)
+
+static void
+align (spline_list_type *l)
+{
+ boolean change;
+ unsigned this_spline;
+ unsigned length = SPLINE_LIST_LENGTH (*l);
+
+/* LOG1 ("\nAligning spline list (length %u):\n", length); */
+
+ do
+ {
+ change = false;
+
+/* LOG (" "); */
+
+ for (this_spline = 0; this_spline < length; this_spline++)
+ {
+ boolean spline_change = false;
+ spline_type *s = &SPLINE_LIST_ELT (*l, this_spline);
+ real_coordinate_type start = START_POINT (*s);
+ real_coordinate_type end = END_POINT (*s);
+
+ TRY_AXIS (x);
+ TRY_AXIS (y);
+ if (spline_change)
+ {
+/* LOG1 ("%u ", this_spline); */
+ change |= spline_change;
+ }
+ }
+/* LOG ("\n"); */
+ }
+ while (change);
+}
+
+/* Lists of array indices (well, that is what we use it for). */
+
+static index_list_type
+new_index_list (void)
+{
+ index_list_type index_list;
+
+ index_list.data = NULL;
+ INDEX_LIST_LENGTH (index_list) = 0;
+
+ return index_list;
+}
+
+
+static void
+free_index_list (index_list_type *index_list)
+{
+ if (INDEX_LIST_LENGTH (*index_list) > 0)
+ {
+ g_free (index_list->data);
+ index_list->data = NULL;
+ INDEX_LIST_LENGTH (*index_list) = 0;
+ }
+}
+
+
+static void
+append_index (index_list_type *list, unsigned new_index)
+{
+ INDEX_LIST_LENGTH (*list)++;
+ list->data = (unsigned *)g_realloc(list->data,(INDEX_LIST_LENGTH (*list)) * sizeof(unsigned));
+/* XRETALLOC (list->data, INDEX_LIST_LENGTH (*list), unsigned); */
+ list->data[INDEX_LIST_LENGTH (*list) - 1] = new_index;
+}
diff --git a/plug-ins/selection-to-path/fit.h b/plug-ins/selection-to-path/fit.h
new file mode 100644
index 0000000..f009c9a
--- /dev/null
+++ b/plug-ins/selection-to-path/fit.h
@@ -0,0 +1,54 @@
+/* fit.h: convert the pixel representation to splines.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef FIT_H
+#define FIT_H
+
+#include "pxl-outline.h"
+#include "spline.h"
+
+
+/* See fit.c for descriptions of these variables, all of which can be
+ set using options. */
+extern real align_threshold;
+extern real corner_always_threshold;
+extern unsigned corner_surround;
+extern real corner_threshold;
+extern real error_threshold;
+extern unsigned filter_alternative_surround;
+extern real filter_epsilon;
+extern unsigned filter_iteration_count;
+extern real filter_percent;
+extern unsigned filter_surround;
+extern boolean keep_knees;
+extern real line_reversion_threshold;
+extern real line_threshold;
+extern real reparameterize_improvement;
+extern real reparameterize_threshold;
+extern real subdivide_search;
+extern unsigned subdivide_surround;
+extern real subdivide_threshold;
+extern unsigned tangent_surround;
+
+
+/* Fit splines and lines to LIST. */
+extern spline_list_array_type fitted_splines (pixel_outline_list_type list);
+void fit_set_params(SELVALS *);
+void fit_set_default_params(SELVALS *);
+
+#endif /* not FIT_H */
diff --git a/plug-ins/selection-to-path/global.h b/plug-ins/selection-to-path/global.h
new file mode 100644
index 0000000..1ee5962
--- /dev/null
+++ b/plug-ins/selection-to-path/global.h
@@ -0,0 +1,213 @@
+/* global.h: extend the standard programming environment a little. This
+ * is included from config.h, which everyone includes.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef GLOBAL_H
+#define GLOBAL_H
+
+#include <stdlib.h>
+
+#include "types.h"
+
+/* Define common sorts of messages. */
+
+/* This should be called only after a system call fails. */
+#define FATAL_PERROR(s) do { perror (s); exit (errno); } while (0)
+
+
+#define START_FATAL() do { fputs ("fatal: ", stderr)
+#define END_FATAL() fputs (".\n", stderr); exit (1); } while (0)
+
+#define FATAL(x) \
+ START_FATAL (); fprintf (stderr, "%s", x); END_FATAL ()
+#define FATAL1(s, e1) \
+ START_FATAL (); fprintf (stderr, s, e1); END_FATAL ()
+#define FATAL2(s, e1, e2) \
+ START_FATAL (); fprintf (stderr, s, e1, e2); END_FATAL ()
+#define FATAL3(s, e1, e2, e3) \
+ START_FATAL (); fprintf (stderr, s, e1, e2, e3); END_FATAL ()
+#define FATAL4(s, e1, e2, e3, e4) \
+ START_FATAL (); fprintf (stderr, s, e1, e2, e3, e4); END_FATAL ()
+
+
+#define START_WARNING() do { fputs ("warning: ", stderr)
+#define END_WARNING() fputs (".\n", stderr); fflush (stderr); } while (0)
+
+#define WARNING(x) \
+ START_WARNING (); fprintf (stderr, "%s", x); END_WARNING ()
+#define WARNING1(s, e1) \
+ START_WARNING (); fprintf (stderr, s, e1); END_WARNING ()
+#define WARNING2(s, e1, e2) \
+ START_WARNING (); fprintf (stderr, s, e1, e2); END_WARNING ()
+#define WARNING3(s, e1, e2, e3) \
+ START_WARNING (); fprintf (stderr, s, e1, e2, e3); END_WARNING ()
+#define WARNING4(s, e1, e2, e3, e4) \
+ START_WARNING (); fprintf (stderr, s, e1, e2, e3, e4); END_WARNING ()
+
+/* Define useful abbreviations. */
+
+/* This is the maximum number of numerals that result when a 64-bit
+ integer is converted to a string, plus one for a trailing null byte,
+ plus one for a sign. */
+#define MAX_INT_LENGTH 21
+
+/* Printer's points, as defined by TeX (and good typesetters everywhere). */
+#define POINTS_PER_INCH 72.27
+
+/* Convert a number V in pixels to printer's points, and vice versa,
+ assuming a resolution of DPI pixels per inch. */
+#define PIXELS_TO_POINTS(v, dpi) (POINTS_PER_INCH * (v) / (dpi))
+#define POINTS_TO_REAL_PIXELS(v, dpi) ((v) * (dpi) / POINTS_PER_INCH)
+#define POINTS_TO_PIXELS(v, dpi) ((int) (POINTS_TO_REAL_PIXELS (v, dpi) + .5))
+
+/* Some simple numeric operations. It is possible to define these much
+ more cleanly in GNU C, but we haven't done that (yet). */
+#define SQUARE(x) ((x) * (x))
+#define CUBE(x) ((x) * (x) * (x))
+#define SAME_SIGN(u,v) ((u) >= 0 && (v) >= 0 || (u) < 0 && (v) < 0)
+#define SIGN(x) ((x) > 0 ? 1 : (x) < 0 ? -1 : 0)
+#define SROUND(x) ((int) ((int) (x) + .5 * SIGN (x)))
+
+#ifndef MAX
+#define MAX(a, b) ((a) > (b) ? (a) : (b))
+#endif
+#ifndef MIN
+#define MIN(a, b) ((a) < (b) ? (a) : (b))
+#endif
+
+/* Too bad C doesn't define operators for these. */
+#define MAX_EQUALS(var, expr) if ((expr) > (var)) (var) = (expr)
+#define MIN_EQUALS(var, expr) if ((expr) < (var)) (var) = (expr)
+
+#define STREQ(s1, s2) (strcmp (s1, s2) == 0)
+
+/* Declarations for commonly-used routines we provide ourselves. The
+ ones here are only needed by us, so we do not provide them in
+ unprototyped form. Others are declared both ways in lib.h. */
+
+#if 0 /* These aren't actually defined anywhere */
+/* Return the current date and time a la date(1). */
+extern string now (void);
+
+/* Check if a string is a valid floating-point or decimal integer.
+ Returns false if passed NULL. */
+extern boolean float_ok (string);
+extern boolean integer_ok (string);
+
+/* Like `atoi', but disallow negative numbers. */
+extern const unsigned atou (string);
+
+/* The converses of atoi, atou, and atof. These all return dynamically
+ allocated strings. `dtoa' is so-named because `ftoa' is a library
+ function on some systems (the IBM RT), and the loader complains that
+ is defined twice, for reasons I don't understand. */
+extern string itoa (int);
+extern string utoa (unsigned);
+extern string dtoa (double);
+
+#endif
+
+/* Like their stdio counterparts, but abort on error, after calling
+ perror(3) with FILENAME as its argument. */
+/* extern FILE *xfopen (string filename, string mode); */
+/* extern void xfclose (FILE *, string filename); */
+/* extern void xfseek (FILE *, long, int, string filename); */
+/* extern four_bytes xftell (FILE *, string filename); */
+
+/* Copies the file FROM to the file TO, then unlinks FROM. */
+extern void xrename (string from, string to);
+
+/* Return NAME with any leading path stripped off. This returns a
+ pointer into NAME. */
+/* ALT extern string basename (string name); */
+
+
+
+/* If P or *P is null, abort. Otherwise, call free(3) on P,
+ and then set *P to NULL. */
+extern void safe_free (address *p);
+
+
+/* Math functions. */
+
+/* Says whether V1 and V2 are within REAL_EPSILON of each other.
+ Fixed-point arithmetic would be better, to guarantee machine
+ independence, but it's so much more painful to work with. The value
+ here is smaller than can be represented in either a `fix_word' or a
+ `scaled_num', so more precision than this will be lost when we
+ output, anyway. */
+#define REAL_EPSILON 0.00001
+extern boolean epsilon_equal (real v1, real v2);
+
+/* Arc cosine, in degrees. */
+extern real my_acosd (real);
+
+/* Return the Euclidean distance between the two points. */
+extern real distance (real_coordinate_type, real_coordinate_type);
+extern real int_distance (coordinate_type, coordinate_type);
+
+/* Slope between two points (delta y per unit x). */
+extern real slope (real_coordinate_type, real_coordinate_type);
+
+/* Make a real coordinate from an integer one, and vice versa. */
+extern real_coordinate_type int_to_real_coord (coordinate_type);
+extern coordinate_type real_to_int_coord (real_coordinate_type);
+
+/* Test if two integer points are adjacent. */
+extern boolean points_adjacent_p (int row1, int col1, int r2, int c2);
+
+/* Find the largest and smallest elements of an array. */
+extern void find_bounds (real values[], unsigned value_count,
+ /* returned: */ real *the_min, real *the_max);
+
+/* Make all the elements in the array between zero and one. */
+extern real *map_to_unit (real * values, unsigned value_count);
+
+
+/* String functions. */
+
+/* Return (a fresh copy of) SOURCE beginning at START and ending at
+ LIMIT. (Or NULL if LIMIT < START.) */
+extern string substring (string source, const unsigned start,
+ const unsigned limit);
+
+/* Change all uppercase letters in S to lowercase. */
+extern string lowercasify (string s);
+
+
+/* Character code parsing. */
+
+/* If the string S parses as a character code, this sets *VALID to
+ `true' and returns the number. If it doesn't, it sets *VALID to
+ `false' and the return value is garbage.
+
+ We allow any of the following possibilities: a single character, as in
+ `a' or `0'; a decimal number, as in `21'; an octal number, as in `03'
+ or `0177'; a hexadecimal number, as in `0x3' or `0xff'. */
+extern charcode_type parse_charcode (string s, boolean *valid);
+
+/* Like `parse_charcode', but gives a fatal error if the string isn't a
+ valid character code. */
+extern charcode_type xparse_charcode (string s);
+
+/* The environment variable name with which to look up auxiliary files. */
+#ifndef LIB_ENVVAR
+#define LIB_ENVVAR "FONTUTIL_LIB"
+#endif
+
+#endif /* not GLOBAL_H */
diff --git a/plug-ins/selection-to-path/math.c b/plug-ins/selection-to-path/math.c
new file mode 100644
index 0000000..58f3b3f
--- /dev/null
+++ b/plug-ins/selection-to-path/math.c
@@ -0,0 +1,177 @@
+/* math.c: define some simple array operations, and other functions.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include <errno.h>
+#include <math.h>
+#include <stdio.h>
+
+#include "libgimp/gimp.h"
+
+#include "types.h"
+#include "global.h"
+
+/* Numerical errors sometimes make a floating point number just slightly
+ larger or smaller than its true value. When it matters, we need to
+ compare with some tolerance, REAL_EPSILON, defined in kbase.h. */
+
+boolean
+epsilon_equal (real v1, real v2)
+{
+ return
+ v1 == v2 /* Usually they'll be exactly equal, anyway. */
+ || fabs (v1 - v2) <= REAL_EPSILON;
+}
+
+
+/* Return the Euclidean distance between P1 and P2. */
+
+real
+distance (real_coordinate_type p1, real_coordinate_type p2)
+{
+ return hypot (p1.x - p2.x, p1.y - p2.y);
+}
+
+
+/* Same thing, for integer points. */
+real
+int_distance (coordinate_type p1, coordinate_type p2)
+{
+ return hypot ((double) p1.x - p2.x, (double) p1.y - p2.y);
+}
+
+
+/* Return the arc cosine of V, in degrees in the range zero to 180. V
+ is taken to be in radians. */
+
+real
+my_acosd (real v)
+{
+ real a;
+
+ if (epsilon_equal (v, 1.0))
+ v = 1.0;
+ else if (epsilon_equal (v, -1.0))
+ v = -1.0;
+
+ errno = 0;
+ a = acos (v);
+ if (errno == ERANGE || errno == EDOM)
+ FATAL_PERROR ("acosd");
+
+ return a * 180.0 / G_PI;
+}
+
+
+/* The slope of the line defined by COORD1 and COORD2. */
+
+real
+slope (real_coordinate_type coord1, real_coordinate_type coord2)
+{
+ g_assert (coord2.x - coord1.x != 0);
+
+ return (coord2.y - coord1.y) / (coord2.x - coord1.x);
+}
+
+
+/* Turn an integer point into a real one, and vice versa. */
+
+real_coordinate_type
+int_to_real_coord (coordinate_type int_coord)
+{
+ real_coordinate_type real_coord;
+
+ real_coord.x = int_coord.x;
+ real_coord.y = int_coord.y;
+
+ return real_coord;
+}
+
+
+coordinate_type
+real_to_int_coord (real_coordinate_type real_coord)
+{
+ coordinate_type int_coord;
+
+ int_coord.x = SROUND (real_coord.x);
+ int_coord.y = SROUND (real_coord.y);
+
+ return int_coord;
+}
+
+
+/* See if two points (described by their row and column) are adjacent. */
+
+boolean
+points_adjacent_p (int row1, int col1, int row2, int col2)
+{
+ int row_diff = abs (row1 - row2);
+ int col_diff = abs (col1 - col2);
+
+ return
+ (row_diff == 1 && col_diff == 1)
+ || (row_diff == 0 && col_diff == 1)
+ || (row_diff == 1 && col_diff == 0);
+}
+
+
+/* Find the largest and smallest elements in an array of reals. */
+
+void
+find_bounds (real *values, unsigned value_count, real *min, real *max)
+{
+ unsigned this_value;
+
+ /* We must use FLT_MAX and FLT_MIN, instead of the corresponding
+ values for double, because gcc uses the native atof to parse
+ floating point constants, and many atof's choke on the extremes. */
+ *min = FLT_MAX;
+ *max = FLT_MIN;
+
+ for (this_value = 0; this_value < value_count; this_value++)
+ {
+ if (values[this_value] < *min)
+ *min = values[this_value];
+
+ if (values[this_value] > *max)
+ *max = values[this_value];
+ }
+}
+
+/* Map a range of numbers, some positive and some negative, into all
+ positive, with the greatest being at one and the least at zero.
+
+ This allocates new memory. */
+
+real *
+map_to_unit (real *values, unsigned value_count)
+{
+ real smallest, largest;
+ int this_value;
+ real *mapped_values = g_new (real, value_count);
+
+ find_bounds (values, value_count, &smallest, &largest);
+
+ largest -= smallest; /* We never care about largest itself. */
+
+ for (this_value = 0; this_value < value_count; this_value++)
+ mapped_values[this_value] = (values[this_value] - smallest) / largest;
+
+ return mapped_values;
+}
diff --git a/plug-ins/selection-to-path/pxl-outline.c b/plug-ins/selection-to-path/pxl-outline.c
new file mode 100644
index 0000000..a339ff3
--- /dev/null
+++ b/plug-ins/selection-to-path/pxl-outline.c
@@ -0,0 +1,254 @@
+/* pxl-outline.c: find the edges of the bitmap image; we call each such
+ * edge an ``outline''; each outline is made up of one or more pixels;
+ * and each pixel participates via one or more edges.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include "global.h"
+#include "selection-to-path.h"
+#include "bitmap.h"
+#include "edge.h"
+#include "pxl-outline.h"
+
+#include "libgimp/stdplugins-intl.h"
+
+static pixel_outline_type find_one_outline (edge_type,
+ unsigned, unsigned, bitmap_type *);
+static void append_pixel_outline (pixel_outline_list_type *,
+ pixel_outline_type);
+static pixel_outline_type new_pixel_outline (void);
+static void append_outline_pixel (pixel_outline_type *, coordinate_type);
+static void append_coordinate (pixel_outline_type *, int, int, edge_type);
+
+
+static bitmap_type
+local_new_bitmap (unsigned width,unsigned height)
+{
+ bitmap_type answer;
+ unsigned size = width * height;
+
+
+ BITMAP_HEIGHT(answer) = height;
+ BITMAP_WIDTH(answer) = width;
+
+ BITMAP_BITS (answer) = g_new0 (one_byte, size); /* g_new returns NULL if size == 0 */
+
+/* printf("local_new_bitmap size = %d @[%p]\n",size,BITMAP_BITS (answer)); */
+
+ return answer;
+}
+
+static void
+local_free_bitmap (bitmap_type *b)
+{
+ if (BITMAP_BITS (*b) != NULL)
+ safe_free ((address *) &BITMAP_BITS (*b));
+}
+
+/* A character is made up of a list of one or more outlines. Here, we
+ go through a character's bitmap top to bottom, left to right, looking
+ for the next pixel with an unmarked edge also on the character's outline.
+ Each one of these we find is the starting place for one outline. We
+ find these outlines and put them in a list to return. */
+
+pixel_outline_list_type
+find_outline_pixels (void)
+{
+ pixel_outline_list_type outline_list;
+ unsigned row, col;
+ gint height;
+ gint width;
+ bitmap_type marked = local_new_bitmap (sel_get_width(),sel_get_height());
+
+/* printf("width = %d, height = %d\n",BITMAP_WIDTH(marked),BITMAP_HEIGHT(marked)); */
+
+ gimp_progress_init (_("Selection to Path"));
+
+ O_LIST_LENGTH (outline_list) = 0;
+ outline_list.data = NULL;
+
+ height = sel_get_height ();
+ width = sel_get_width ();
+
+ for (row = 0; row < height; row++)
+ {
+ for (col = 0; col < width; col++)
+ {
+ edge_type edge;
+
+ if (sel_pixel_is_white(row, col))
+ continue;
+
+ edge = next_unmarked_outline_edge (row, col, START_EDGE,marked);
+
+ if (edge != no_edge)
+ {
+ pixel_outline_type outline;
+ boolean clockwise = edge == bottom;
+
+ outline = find_one_outline (edge, row, col, &marked);
+
+ /* Outside outlines will start at a top edge, and move
+ counterclockwise, and inside outlines will start at a
+ bottom edge, and move clockwise. This happens because of
+ the order in which we look at the edges. */
+ O_CLOCKWISE (outline) = clockwise;
+ append_pixel_outline (&outline_list, outline);
+
+ }
+ }
+
+ if ((row & 0xf) == 0)
+ gimp_progress_update (((gdouble)row) / height);
+ }
+
+ gimp_progress_update (1.0);
+
+ local_free_bitmap (&marked);
+
+ return outline_list;
+}
+
+
+/* Here we find one of a character C's outlines. We're passed the
+ position (ORIGINAL_ROW and ORIGINAL_COL) of a starting pixel and one
+ of its unmarked edges, ORIGINAL_EDGE. We traverse the adjacent edges
+ of the outline pixels, appending to the coordinate list. We keep
+ track of the marked edges in MARKED, so it should be initialized to
+ zeros when we first get it. */
+
+static pixel_outline_type
+find_one_outline (edge_type original_edge,
+ unsigned original_row, unsigned original_col,
+ bitmap_type *marked)
+{
+ pixel_outline_type outline = new_pixel_outline ();
+ unsigned row = original_row, col = original_col;
+ edge_type edge = original_edge;
+
+ do
+ {
+ /* Put this edge on to the output list, changing to Cartesian, and
+ taking account of the side bearings. */
+ append_coordinate (&outline, col,
+ sel_get_height() - row, edge);
+
+ mark_edge (edge, row, col, marked);
+ next_outline_edge (&edge, &row, &col);
+ }
+ while (row != original_row || col != original_col || edge != original_edge);
+
+ return outline;
+}
+
+
+/* Append an outline to an outline list. This is called when we have
+ completed an entire pixel outline. */
+
+static void
+append_pixel_outline (pixel_outline_list_type *outline_list,
+ pixel_outline_type outline)
+{
+ O_LIST_LENGTH (*outline_list)++;
+ outline_list->data = (pixel_outline_type *)g_realloc(outline_list->data,outline_list->length *sizeof(pixel_outline_type));
+ O_LIST_OUTLINE (*outline_list, O_LIST_LENGTH (*outline_list) - 1) = outline;
+}
+
+
+/* Here is a routine that frees a list of such lists. */
+
+void
+free_pixel_outline_list (pixel_outline_list_type *outline_list)
+{
+ unsigned this_outline;
+
+ for (this_outline = 0; this_outline < outline_list->length; this_outline++)
+ {
+ pixel_outline_type o = outline_list->data[this_outline];
+ safe_free ((address *) &(o.data));
+ }
+
+ if (outline_list->data != NULL)
+ safe_free ((address *) &(outline_list->data));
+}
+
+
+/* Return an empty list of pixels. */
+
+
+static pixel_outline_type
+new_pixel_outline (void)
+{
+ pixel_outline_type pixel_outline;
+
+ O_LENGTH (pixel_outline) = 0;
+ pixel_outline.data = NULL;
+
+ return pixel_outline;
+}
+
+
+/* Add the coordinate C to the pixel list O. */
+
+static void
+append_outline_pixel (pixel_outline_type *o, coordinate_type c)
+{
+ O_LENGTH (*o)++;
+ o->data = (coordinate_type *)g_realloc(o->data, O_LENGTH (*o)*sizeof(coordinate_type));
+ O_COORDINATE (*o, O_LENGTH (*o) - 1) = c;
+}
+
+
+/* We are given an (X,Y) in Cartesian coordinates, and the edge of the pixel
+ we're on. We append a corner of that pixel as our coordinate.
+ If we're on a top edge, we use the upper-left hand corner; right edge
+ => upper right; bottom edge => lower right; left edge => lower left. */
+
+static void
+append_coordinate (pixel_outline_type *o, int x, int y, edge_type edge)
+{
+ coordinate_type c;
+
+ c.x = x;
+ c.y = y;
+
+ switch (edge)
+ {
+ case top:
+ c.y++;
+ break;
+
+ case right:
+ c.x++;
+ c.y++;
+ break;
+
+ case bottom:
+ c.x++;
+ break;
+
+ case left:
+ break;
+
+ default:
+ g_printerr ("append_coordinate: Bad edge (%d)", edge);
+ }
+
+ append_outline_pixel (o, c);
+}
diff --git a/plug-ins/selection-to-path/pxl-outline.h b/plug-ins/selection-to-path/pxl-outline.h
new file mode 100644
index 0000000..896722f
--- /dev/null
+++ b/plug-ins/selection-to-path/pxl-outline.h
@@ -0,0 +1,68 @@
+/* pxl-outline.h: find a list of outlines which make up one character.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef PXL_OUTLINE_H
+#define PXL_OUTLINE_H
+
+#include "types.h"
+
+
+/* This is a list of contiguous points on the bitmap. */
+typedef struct
+{
+ coordinate_type *data;
+ unsigned length;
+ boolean clockwise;
+} pixel_outline_type;
+
+/* The Nth coordinate in the list. */
+#define O_COORDINATE(p_o, n) ((p_o).data[n])
+
+/* The length of the list. */
+#define O_LENGTH(p_o) ((p_o).length)
+
+/* Whether the outline moves clockwise or counterclockwise. */
+#define O_CLOCKWISE(p_o) ((p_o).clockwise)
+
+/* Since a pixel outline is cyclic, the index of the next coordinate
+ after the last is the first, and the previous coordinate before the
+ first is the last. */
+#define O_NEXT(p_o, n) (((n) + 1) % O_LENGTH (p_o))
+#define O_PREV(p_o, n) ((n) == 0 ? O_LENGTH (p_o) - 1 : (n) - 1)
+
+/* And the character turns into a list of such lists. */
+typedef struct
+{
+ pixel_outline_type *data;
+ unsigned length;
+} pixel_outline_list_type;
+
+/* The Nth list in the list of lists. */
+#define O_LIST_OUTLINE(p_o_l, n) ((p_o_l).data[n])
+
+/* The length of the list of lists. */
+#define O_LIST_LENGTH(p_o_l) ((p_o_l).length)
+
+
+/* Find all pixels on the outline in the character C. */
+extern pixel_outline_list_type find_outline_pixels (void);
+
+/* Free the memory in the list. */
+extern void free_pixel_outline_list (pixel_outline_list_type *);
+
+#endif /* not PXL_OUTLINE_H */
diff --git a/plug-ins/selection-to-path/selection-to-path-dialog.c b/plug-ins/selection-to-path/selection-to-path-dialog.c
new file mode 100644
index 0000000..f6f3f18
--- /dev/null
+++ b/plug-ins/selection-to-path/selection-to-path-dialog.c
@@ -0,0 +1,403 @@
+/*
+ * Copyright (C) 1995 Spencer Kimball and Peter Mattis
+ *
+ * This is a plug-in for GIMP.
+ *
+ * Plugin to convert a selection to a path.
+ *
+ * Copyright (C) 1999 Andy Thomas alt@gimp.org
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ *
+ */
+
+/* Change log:-
+ * 0.1 First version.
+ */
+
+#include "config.h"
+
+#include <libgimp/gimp.h>
+#include <libgimp/gimpui.h>
+
+#include "types.h"
+
+#include "selection-to-path.h"
+
+#include "libgimp/stdplugins-intl.h"
+
+#define SCALE_WIDTH 100
+#define SCALE_DIGITS 8
+
+
+static GSList * adjust_widgets = NULL;
+
+
+/* Reset to recommended defaults */
+void
+reset_adv_dialog (void)
+{
+ GSList *list;
+ GtkObject *widget;
+ gdouble *value;
+
+ for (list = adjust_widgets; list; list = g_slist_next (list))
+ {
+ widget = GTK_OBJECT (list->data);
+ value = (gdouble *) g_object_get_data (G_OBJECT (widget),
+ "default_value");
+
+ if (GTK_IS_ADJUSTMENT (widget))
+ {
+ gtk_adjustment_set_value (GTK_ADJUSTMENT (widget),
+ *value);
+ }
+ else if (GTK_IS_TOGGLE_BUTTON (widget))
+ {
+ gtk_toggle_button_set_active (GTK_TOGGLE_BUTTON (widget),
+ (gboolean)(*value));
+ }
+ else
+ g_warning ("Internal widget list error");
+ }
+}
+
+static gpointer
+def_val (gdouble default_value)
+{
+ gdouble *value = g_new0 (gdouble, 1);
+ *value = default_value;
+ return (value);
+}
+
+GtkWidget *
+dialog_create_selection_area (SELVALS *sels)
+{
+ GtkWidget *scrolled_win;
+ GtkWidget *viewport;
+ GtkWidget *table;
+ GtkWidget *check;
+ GtkObject *adj;
+ gint row;
+
+ scrolled_win = gtk_scrolled_window_new (NULL, NULL);
+ gtk_widget_set_size_request (scrolled_win, -1, 400);
+ gtk_scrolled_window_set_shadow_type (GTK_SCROLLED_WINDOW (scrolled_win),
+ GTK_SHADOW_NONE);
+ gtk_scrolled_window_set_policy (GTK_SCROLLED_WINDOW (scrolled_win),
+ GTK_POLICY_NEVER,
+ GTK_POLICY_ALWAYS);
+
+ viewport = gtk_viewport_new (NULL, NULL);
+ gtk_viewport_set_shadow_type (GTK_VIEWPORT (viewport), GTK_SHADOW_NONE);
+ gtk_container_add (GTK_CONTAINER (scrolled_win), viewport);
+ gtk_widget_show (viewport);
+
+ table = gtk_table_new (20, 3, FALSE);
+ gtk_table_set_row_spacings (GTK_TABLE (table), 6);
+ gtk_table_set_col_spacings (GTK_TABLE (table), 6);
+ gtk_container_add (GTK_CONTAINER (viewport), table);
+ gtk_widget_show (table);
+
+ row = 0;
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Align Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->align_threshold,
+ 0.2, 2.0, 0.1, 0.1, 2,
+ TRUE, 0, 0,
+ _("If two endpoints are closer than this, "
+ "they are made to be equal."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->align_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.5));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Corner Always Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->corner_always_threshold,
+ 30, 180, 1, 1, 2,
+ TRUE, 0, 0,
+ _("If the angle defined by a point and its predecessors "
+ "and successors is smaller than this, it's a corner, "
+ "even if it's within 'corner_surround' pixels of a "
+ "point with a smaller angle."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->corner_always_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (60.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Corner Surround:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->corner_surround,
+ 3, 8, 1, 1, 0,
+ TRUE, 0, 0,
+ _("Number of points to consider when determining if a "
+ "point is a corner or not."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->corner_surround);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (4.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Corner Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->corner_threshold,
+ 0, 180, 1, 1, 2,
+ TRUE, 0, 0,
+ _("If a point, its predecessors, and its successors "
+ "define an angle smaller than this, it's a corner."),
+ NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->corner_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (100.0));
+
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Error Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->error_threshold,
+ 0.2, 10, 0.1, 0.1, 2,
+ TRUE, 0, 0,
+ _("Amount of error at which a fitted spline is "
+ "unacceptable. If any pixel is further away "
+ "than this from the fitted curve, we try again."),
+ NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->error_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.40));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Filter Alternative Surround:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->filter_alternative_surround,
+ 1, 10, 1, 1, 0,
+ TRUE, 0, 0,
+ _("A second number of adjacent points to consider "
+ "when filtering."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->filter_alternative_surround);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (1.0));
+
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Filter Epsilon:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->filter_epsilon,
+ 5, 40, 1, 1, 2,
+ TRUE, 0, 0,
+ _("If the angles between the vectors produced by "
+ "filter_surround and filter_alternative_surround "
+ "points differ by more than this, use the one from "
+ "filter_alternative_surround."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->filter_epsilon);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (10.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Filter Iteration Count:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->filter_iteration_count,
+ 4, 70, 1, 1, 0,
+ TRUE, 0, 0,
+ _("Number of times to smooth original data points. "
+ "Increasing this number dramatically --- to 50 or "
+ "so --- can produce vastly better results. But if "
+ "any points that 'should' be corners aren't found, "
+ "the curve goes to hell around that point."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->filter_iteration_count);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (4.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Filter Percent:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->filter_percent,
+ 0, 1, 0.05, 0.01, 2,
+ TRUE, 0, 0,
+ _("To produce the new point, use the old point plus "
+ "this times the neighbors."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->filter_percent);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.33));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Filter Secondary Surround:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->filter_secondary_surround,
+ 3, 10, 1, 1, 0,
+ TRUE, 0, 0,
+ _("Number of adjacent points to consider if "
+ "'filter_surround' points defines a straight line."),
+ NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->filter_secondary_surround);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (3.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Filter Surround:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->filter_surround,
+ 2, 10, 1, 1, 0,
+ TRUE, 0, 0,
+ _("Number of adjacent points to consider when filtering."),
+ NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->filter_surround);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (2.0));
+
+ check = gtk_check_button_new_with_label (_("Keep Knees"));
+ gtk_toggle_button_set_active (GTK_TOGGLE_BUTTON (check), sels->keep_knees);
+ gtk_table_attach (GTK_TABLE (table), check, 1, 3, row, row + 1,
+ GTK_EXPAND | GTK_FILL, GTK_EXPAND | GTK_FILL, 0, 0);
+ gimp_help_set_help_data (GTK_WIDGET (check),
+ _("Says whether or not to remove 'knee' "
+ "points after finding the outline."), NULL);
+ g_signal_connect (check, "toggled",
+ G_CALLBACK (gimp_toggle_button_update),
+ &sels->keep_knees);
+ gtk_widget_show (check);
+ adjust_widgets = g_slist_append (adjust_widgets, check);
+ g_object_set_data (G_OBJECT (check), "default_value", def_val ((gdouble)FALSE));
+ row++;
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Line Reversion Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->line_reversion_threshold,
+ 0.01, 0.2, 0.01, 0.01, 3,
+ TRUE, 0, 0,
+ _("If a spline is closer to a straight line than this, "
+ "it remains a straight line, even if it would otherwise "
+ "be changed back to a curve. This is weighted by the "
+ "square of the curve length, to make shorter curves "
+ "more likely to be reverted."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->line_reversion_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.01));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Line Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->line_threshold,
+ 0.2, 4, 0.1, 0.01, 2,
+ TRUE, 0, 0,
+ _("How many pixels (on the average) a spline can "
+ "diverge from the line determined by its endpoints "
+ "before it is changed to a straight line."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->line_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.5));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Reparametrize Improvement:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->reparameterize_improvement,
+ 0, 1, 0.05, 0.01, 2,
+ TRUE, 0, 0,
+ _("If reparameterization doesn't improve the fit by this "
+ "much percent, stop doing it. ""Amount of error at which "
+ "it is pointless to reparameterize."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->reparameterize_improvement);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.01));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Reparametrize Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->reparameterize_threshold,
+ 1, 50, 0.5, 0.5, 2,
+ TRUE, 0, 0,
+ _("Amount of error at which it is pointless to reparameterize. "
+ "This happens, for example, when we are trying to fit the "
+ "outline of the outside of an 'O' with a single spline. "
+ "The initial fit is not good enough for the Newton-Raphson "
+ "iteration to improve it. It may be that it would be better "
+ "to detect the cases where we didn't find any corners."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->reparameterize_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (1.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Subdivide Search:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->subdivide_search,
+ 0.05, 1, 0.05, 0.01, 2,
+ TRUE, 0, 0,
+ _("Percentage of the curve away from the worst point "
+ "to look for a better place to subdivide."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->subdivide_search);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.1));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Subdivide Surround:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->subdivide_surround,
+ 2, 10, 1, 1, 0,
+ TRUE, 0, 0,
+ _("Number of points to consider when deciding whether "
+ "a given point is a better place to subdivide."),
+ NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->subdivide_surround);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (4.0));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Subdivide Threshold:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->subdivide_threshold,
+ 0.01, 1, 0.01, 0.01, 2,
+ TRUE, 0, 0,
+ _("How many pixels a point can diverge from a straight "
+ "line and still be considered a better place to "
+ "subdivide."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->subdivide_threshold);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (0.03));
+
+ adj = gimp_scale_entry_new (GTK_TABLE (table), 0, row++,
+ _("Tangent Surround:"), SCALE_WIDTH, SCALE_DIGITS,
+ sels->tangent_surround,
+ 2, 10, 1, 1, 0,
+ TRUE, 0, 0,
+ _("Number of points to look at on either side of a "
+ "point when computing the approximation to the "
+ "tangent at that point."), NULL);
+ g_signal_connect (adj, "value-changed",
+ G_CALLBACK (gimp_double_adjustment_update),
+ &sels->tangent_surround);
+ adjust_widgets = g_slist_append (adjust_widgets, adj);
+ g_object_set_data (G_OBJECT (adj), "default_value", def_val (3.0));
+
+ return scrolled_win;
+}
diff --git a/plug-ins/selection-to-path/selection-to-path.c b/plug-ins/selection-to-path/selection-to-path.c
new file mode 100644
index 0000000..52fc849
--- /dev/null
+++ b/plug-ins/selection-to-path/selection-to-path.c
@@ -0,0 +1,536 @@
+/*
+ * Copyright (C) 1995 Spencer Kimball and Peter Mattis
+ *
+ * This is a plug-in for GIMP.
+ *
+ * Plugin to convert a selection to a path.
+ *
+ * Copyright (C) 1999 Andy Thomas alt@gimp.org
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ *
+ */
+
+/* Change log:-
+ * 0.1 First version.
+ */
+
+#include "config.h"
+
+#include <string.h>
+
+#include "libgimp/gimp.h"
+#include "libgimp/gimpui.h"
+
+#include "libgimpmath/gimpmath.h"
+
+#include "global.h"
+#include "types.h"
+#include "pxl-outline.h"
+#include "fit.h"
+#include "spline.h"
+#include "selection-to-path.h"
+
+#include "libgimp/stdplugins-intl.h"
+
+
+#define PLUG_IN_BINARY "selection-to-path"
+#define PLUG_IN_ROLE "gimp-selection-to-path"
+
+#define RESPONSE_RESET 1
+#define MID_POINT 127
+
+/***** Magic numbers *****/
+
+/* Variables set in dialog box */
+
+static void query (void);
+static void run (const gchar *name,
+ gint nparams,
+ const GimpParam *param,
+ gint *nreturn_vals,
+ GimpParam **return_vals);
+
+static gint sel2path_dialog (SELVALS *sels);
+static void sel2path_response (GtkWidget *widget,
+ gint response_id,
+ gpointer data);
+static void dialog_print_selVals (SELVALS *sels);
+static gboolean sel2path (gint32 image_ID);
+
+
+const GimpPlugInInfo PLUG_IN_INFO =
+{
+ NULL, /* init_proc */
+ NULL, /* quit_proc */
+ query, /* query_proc */
+ run, /* run_proc */
+};
+
+static gint sel_x1, sel_y1, sel_x2, sel_y2;
+static gint has_sel, sel_width, sel_height;
+static SELVALS selVals;
+static GeglSampler *sel_sampler;
+static gboolean retVal = TRUE; /* Toggle if cancel button clicked */
+
+MAIN ()
+
+static void
+query (void)
+{
+ static const GimpParamDef args[] =
+ {
+ { GIMP_PDB_INT32, "run-mode", "The run mode { RUN-INTERACTIVE (0), RUN-NONINTERACTIVE (1) }" },
+ { GIMP_PDB_IMAGE, "image", "Input image" },
+ { GIMP_PDB_DRAWABLE, "drawable", "Input drawable (unused)" },
+ };
+
+ static const GimpParamDef advanced_args[] =
+ {
+ { GIMP_PDB_INT32, "run-mode", "The run mode { RUN-INTERACTIVE (0), RUN-NONINTERACTIVE (1) }" },
+ { GIMP_PDB_IMAGE, "image", "Input image" },
+ { GIMP_PDB_DRAWABLE, "drawable", "Input drawable (unused)" },
+ { GIMP_PDB_FLOAT, "align-threshold", "align_threshold"},
+ { GIMP_PDB_FLOAT, "corner-always-threshold", "corner_always_threshold"},
+ { GIMP_PDB_INT8, "corner-surround", "corner_surround"},
+ { GIMP_PDB_FLOAT, "corner-threshold", "corner_threshold"},
+ { GIMP_PDB_FLOAT, "error-threshold", "error_threshold"},
+ { GIMP_PDB_INT8, "filter-alternative-surround", "filter_alternative_surround"},
+ { GIMP_PDB_FLOAT, "filter-epsilon", "filter_epsilon"},
+ { GIMP_PDB_INT8, "filter-iteration-count", "filter_iteration_count"},
+ { GIMP_PDB_FLOAT, "filter-percent", "filter_percent"},
+ { GIMP_PDB_INT8, "filter-secondary-surround", "filter_secondary_surround"},
+ { GIMP_PDB_INT8, "filter-surround", "filter_surround"},
+ { GIMP_PDB_INT8, "keep-knees", "{1-Yes, 0-No}"},
+ { GIMP_PDB_FLOAT, "line-reversion-threshold", "line_reversion_threshold"},
+ { GIMP_PDB_FLOAT, "line-threshold", "line_threshold"},
+ { GIMP_PDB_FLOAT, "reparameterize-improvement", "reparameterize_improvement"},
+ { GIMP_PDB_FLOAT, "reparameterize-threshold", "reparameterize_threshold"},
+ { GIMP_PDB_FLOAT, "subdivide-search", "subdivide_search"},
+ { GIMP_PDB_INT8, "subdivide-surround", "subdivide_surround"},
+ { GIMP_PDB_FLOAT, "subdivide-threshold", "subdivide_threshold"},
+ { GIMP_PDB_INT8, "tangent-surround", "tangent_surround"},
+ };
+
+ gimp_install_procedure ("plug-in-sel2path",
+ "Converts a selection to a path",
+ "Converts a selection to a path",
+ "Andy Thomas",
+ "Andy Thomas",
+ "1999",
+ NULL,
+ "RGB*, INDEXED*, GRAY*",
+ GIMP_PLUGIN,
+ G_N_ELEMENTS (args), 0,
+ args, NULL);
+
+ gimp_install_procedure ("plug-in-sel2path-advanced",
+ "Converts a selection to a path (with advanced user menu)",
+ "Converts a selection to a path (with advanced user menu)",
+ "Andy Thomas",
+ "Andy Thomas",
+ "1999",
+ NULL,
+ "RGB*, INDEXED*, GRAY*",
+ GIMP_PLUGIN,
+ G_N_ELEMENTS (advanced_args), 0,
+ advanced_args, NULL);
+}
+
+static void
+run (const gchar *name,
+ gint nparams,
+ const GimpParam *param,
+ gint *nreturn_vals,
+ GimpParam **return_vals)
+{
+ static GimpParam values[1];
+ gint32 image_ID;
+ GimpRunMode run_mode;
+ GimpPDBStatusType status = GIMP_PDB_SUCCESS;
+ gboolean no_dialog;
+
+ INIT_I18N ();
+ gegl_init (NULL, NULL);
+
+ run_mode = param[0].data.d_int32;
+
+ no_dialog = (strcmp (name, "plug-in-sel2path") == 0);
+
+ *nreturn_vals = 1;
+ *return_vals = values;
+
+ values[0].type = GIMP_PDB_STATUS;
+ values[0].data.d_status = status;
+
+ image_ID = param[1].data.d_image;
+ if (image_ID < 0)
+ {
+ g_warning ("plug-in-sel2path needs a valid image ID");
+ return;
+ }
+
+ if (gimp_selection_is_empty (image_ID))
+ {
+ g_message (_("No selection to convert"));
+ return;
+ }
+
+ fit_set_default_params (&selVals);
+
+ if (!no_dialog)
+ {
+ switch (run_mode)
+ {
+ case GIMP_RUN_INTERACTIVE:
+ if (gimp_get_data_size ("plug-in-sel2path-advanced") > 0)
+ {
+ gimp_get_data ("plug-in-sel2path-advanced", &selVals);
+ }
+
+ if (!sel2path_dialog (&selVals))
+ return;
+
+ /* Get the current settings */
+ fit_set_params (&selVals);
+ break;
+
+ case GIMP_RUN_NONINTERACTIVE:
+ if (nparams != 23)
+ status = GIMP_PDB_CALLING_ERROR;
+
+ if (status == GIMP_PDB_SUCCESS)
+ {
+ selVals.align_threshold = param[3].data.d_float;
+ selVals.corner_always_threshold = param[4].data.d_float;
+ selVals.corner_surround = param[5].data.d_int8;
+ selVals.corner_threshold = param[6].data.d_float;
+ selVals.error_threshold = param[7].data.d_float;
+ selVals.filter_alternative_surround = param[8].data.d_int8;
+ selVals.filter_epsilon = param[9].data.d_float;
+ selVals.filter_iteration_count = param[10].data.d_int8;
+ selVals.filter_percent = param[11].data.d_float;
+ selVals.filter_secondary_surround = param[12].data.d_int8;
+ selVals.filter_surround = param[13].data.d_int8;
+ selVals.keep_knees = param[14].data.d_int8;
+ selVals.line_reversion_threshold = param[15].data.d_float;
+ selVals.line_threshold = param[16].data.d_float;
+ selVals.reparameterize_improvement = param[17].data.d_float;
+ selVals.reparameterize_threshold = param[18].data.d_float;
+ selVals.subdivide_search = param[19].data.d_float;
+ selVals.subdivide_surround = param[20].data.d_int8;
+ selVals.subdivide_threshold = param[21].data.d_float;
+ selVals.tangent_surround = param[22].data.d_int8;
+ fit_set_params (&selVals);
+ }
+ break;
+
+ case GIMP_RUN_WITH_LAST_VALS:
+ if(gimp_get_data_size ("plug-in-sel2path-advanced") > 0)
+ {
+ gimp_get_data ("plug-in-sel2path-advanced", &selVals);
+
+ /* Set up the last values */
+ fit_set_params (&selVals);
+ }
+ break;
+
+ default:
+ break;
+ }
+ }
+
+ sel2path (image_ID);
+ values[0].data.d_status = status;
+
+ if (status == GIMP_PDB_SUCCESS)
+ {
+ dialog_print_selVals(&selVals);
+ if (run_mode == GIMP_RUN_INTERACTIVE && !no_dialog)
+ gimp_set_data ("plug-in-sel2path-advanced", &selVals, sizeof(SELVALS));
+ }
+}
+
+static void
+dialog_print_selVals (SELVALS *sels)
+{
+#if 0
+ printf ("selVals.align_threshold %g\n", selVals.align_threshold);
+ printf ("selVals.corner_always_threshol %g\n", selVals.corner_always_threshold);
+ printf ("selVals.corner_surround %g\n", selVals.corner_surround);
+ printf ("selVals.corner_threshold %g\n", selVals.corner_threshold);
+ printf ("selVals.error_threshold %g\n", selVals.error_threshold);
+ printf ("selVals.filter_alternative_surround %g\n", selVals.filter_alternative_surround);
+ printf ("selVals.filter_epsilon %g\n", selVals.filter_epsilon);
+ printf ("selVals.filter_iteration_count %g\n", selVals.filter_iteration_count);
+ printf ("selVals.filter_percent %g\n", selVals.filter_percent);
+ printf ("selVals.filter_secondary_surround %g\n", selVals.filter_secondary_surround);
+ printf ("selVals.filter_surround %g\n", selVals.filter_surround);
+ printf ("selVals.keep_knees %d\n", selVals.keep_knees);
+ printf ("selVals.line_reversion_threshold %g\n", selVals.line_reversion_threshold);
+ printf ("selVals.line_threshold %g\n", selVals.line_threshold);
+ printf ("selVals.reparameterize_improvement %g\n", selVals.reparameterize_improvement);
+ printf ("selVals.reparameterize_threshold %g\n", selVals.reparameterize_threshold);
+ printf ("selVals.subdivide_search %g\n" selVals.subdivide_search);
+ printf ("selVals.subdivide_surround %g\n", selVals.subdivide_surround);
+ printf ("selVals.subdivide_threshold %g\n", selVals.subdivide_threshold);
+ printf ("selVals.tangent_surround %g\n", selVals.tangent_surround);
+#endif /* 0 */
+}
+
+/* Build the dialog up. This was the hard part! */
+static gint
+sel2path_dialog (SELVALS *sels)
+{
+ GtkWidget *dlg;
+ GtkWidget *table;
+
+ retVal = FALSE;
+
+ gimp_ui_init (PLUG_IN_BINARY, FALSE);
+
+ dlg = gimp_dialog_new (_("Selection to Path Advanced Settings"),
+ PLUG_IN_ROLE,
+ NULL, 0,
+ gimp_standard_help_func, "plug-in-sel2path-advanced",
+
+ _("_Reset"), RESPONSE_RESET,
+ _("_Cancel"), GTK_RESPONSE_CANCEL,
+ _("_OK"), GTK_RESPONSE_OK,
+
+ NULL);
+
+ gtk_dialog_set_alternative_button_order (GTK_DIALOG (dlg),
+ RESPONSE_RESET,
+ GTK_RESPONSE_OK,
+ GTK_RESPONSE_CANCEL,
+ -1);
+
+ gimp_window_set_transient (GTK_WINDOW (dlg));
+
+ g_signal_connect (dlg, "response",
+ G_CALLBACK (sel2path_response),
+ NULL);
+ g_signal_connect (dlg, "destroy",
+ G_CALLBACK (gtk_main_quit),
+ NULL);
+
+ table = dialog_create_selection_area (sels);
+ gtk_container_set_border_width (GTK_CONTAINER (table), 12);
+ gtk_box_pack_start (GTK_BOX (gtk_dialog_get_content_area (GTK_DIALOG (dlg))),
+ table, TRUE, TRUE, 0);
+ gtk_widget_show (table);
+
+ gtk_widget_show (dlg);
+
+ gtk_main ();
+
+ return retVal;
+}
+
+static void
+sel2path_response (GtkWidget *widget,
+ gint response_id,
+ gpointer data)
+{
+ switch (response_id)
+ {
+ case RESPONSE_RESET:
+ reset_adv_dialog ();
+ fit_set_params (&selVals);
+ break;
+
+ case GTK_RESPONSE_OK:
+ retVal = TRUE;
+
+ default:
+ gtk_widget_destroy (widget);
+ break;
+ }
+}
+
+guchar
+sel_pixel_value (gint row,
+ gint col)
+{
+ guchar ret;
+
+ if (col > sel_width || row > sel_height)
+ {
+ g_warning ("sel_pixel_value [%d,%d] out of bounds", col, row);
+ return 0;
+ }
+
+ gegl_sampler_get (sel_sampler,
+ col + sel_x1, row + sel_y1, NULL, &ret, GEGL_ABYSS_NONE);
+
+ return ret;
+}
+
+gboolean
+sel_pixel_is_white (gint row,
+ gint col)
+{
+ if (sel_pixel_value (row, col) < MID_POINT)
+ return TRUE;
+ else
+ return FALSE;
+}
+
+gint
+sel_get_width (void)
+{
+ return sel_width;
+}
+
+gint
+sel_get_height (void)
+{
+ return sel_height;
+}
+
+gboolean
+sel_valid_pixel (gint row,
+ gint col)
+{
+ return (0 <= (row) && (row) < sel_get_height ()
+ && 0 <= (col) && (col) < sel_get_width ());
+}
+
+
+static void
+do_points (spline_list_array_type in_splines,
+ gint32 image_ID)
+{
+ gint32 vectors;
+ gint32 stroke;
+ gint i, j;
+ gboolean have_points = FALSE;
+ spline_list_type spline_list;
+
+ /* check if there really is something to do... */
+ for (i = 0; i < SPLINE_LIST_ARRAY_LENGTH (in_splines); i++)
+ {
+ spline_list = SPLINE_LIST_ARRAY_ELT (in_splines, i);
+ /* Ignore single points that are on their own */
+ if (SPLINE_LIST_LENGTH (spline_list) < 2)
+ continue;
+ have_points = TRUE;
+ break;
+ }
+
+ if (!have_points)
+ return;
+
+ vectors = gimp_vectors_new (image_ID, _("Selection"));
+
+ for (j = 0; j < SPLINE_LIST_ARRAY_LENGTH (in_splines); j++)
+ {
+ spline_type seg;
+
+ spline_list = SPLINE_LIST_ARRAY_ELT (in_splines, j);
+
+ /* Ignore single points that are on their own */
+ if (SPLINE_LIST_LENGTH (spline_list) < 2)
+ continue;
+
+ /*
+ * we're constructing the path backwards
+ * to have the result of least surprise for "Text along Path".
+ */
+ seg = SPLINE_LIST_ELT (spline_list, SPLINE_LIST_LENGTH (spline_list) - 1);
+ stroke = gimp_vectors_bezier_stroke_new_moveto (vectors,
+ END_POINT (seg).x,
+ END_POINT (seg).y);
+
+ for (i = SPLINE_LIST_LENGTH (spline_list); i > 0; i--)
+ {
+ seg = SPLINE_LIST_ELT (spline_list, i-1);
+
+ if (SPLINE_DEGREE (seg) == LINEAR)
+ gimp_vectors_bezier_stroke_lineto (vectors, stroke,
+ START_POINT (seg).x,
+ START_POINT (seg).y);
+ else if (SPLINE_DEGREE (seg) == CUBIC)
+ gimp_vectors_bezier_stroke_cubicto (vectors, stroke,
+ CONTROL2 (seg).x,
+ CONTROL2 (seg).y,
+ CONTROL1 (seg).x,
+ CONTROL1 (seg).y,
+ START_POINT (seg).x,
+ START_POINT (seg).y);
+ else
+ g_warning ("print_spline: strange degree (%d)",
+ SPLINE_DEGREE (seg));
+ }
+
+ gimp_vectors_stroke_close (vectors, stroke);
+
+ /* transform to GIMPs coordinate system, taking the selections
+ * bounding box into account */
+ gimp_vectors_stroke_scale (vectors, stroke, 1.0, -1.0);
+ gimp_vectors_stroke_translate (vectors, stroke,
+ sel_x1, sel_y1 + sel_height + 1);
+ }
+
+ gimp_image_insert_vectors (image_ID, vectors, -1, -1);
+}
+
+
+static gboolean
+sel2path (gint32 image_ID)
+{
+ gint32 selection_ID;
+ GeglBuffer *sel_buffer;
+ pixel_outline_list_type olt;
+ spline_list_array_type splines;
+
+ gimp_selection_bounds (image_ID, &has_sel,
+ &sel_x1, &sel_y1, &sel_x2, &sel_y2);
+
+ sel_width = sel_x2 - sel_x1;
+ sel_height = sel_y2 - sel_y1;
+
+ /* Now get the selection channel */
+
+ selection_ID = gimp_image_get_selection (image_ID);
+
+ if (selection_ID < 0)
+ return FALSE;
+
+ sel_buffer = gimp_drawable_get_buffer (selection_ID);
+ sel_sampler = gegl_buffer_sampler_new (sel_buffer,
+ babl_format ("Y u8"),
+ GEGL_SAMPLER_NEAREST);
+
+ olt = find_outline_pixels ();
+
+ splines = fitted_splines (olt);
+
+ do_points (splines, image_ID);
+
+ g_object_unref (sel_sampler);
+ g_object_unref (sel_buffer);
+
+ gimp_displays_flush ();
+
+ return TRUE;
+}
+
+void
+safe_free (address *item)
+{
+ g_free (*item);
+ *item = NULL;
+}
diff --git a/plug-ins/selection-to-path/selection-to-path.h b/plug-ins/selection-to-path/selection-to-path.h
new file mode 100644
index 0000000..d798492
--- /dev/null
+++ b/plug-ins/selection-to-path/selection-to-path.h
@@ -0,0 +1,37 @@
+/*
+ * Copyright (C) 1995 Spencer Kimball and Peter Mattis
+ *
+ * This is a plug-in for GIMP.
+ *
+ * Plugin to convert a selection to a path.
+ *
+ * Copyright (C) 1999 Andy Thomas alt@gimp.org
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ *
+ */
+
+#include "gtk/gtk.h"
+#include "libgimp/gimp.h"
+
+guchar sel_pixel_value (gint, gint);
+gint sel_pixel_is_white (gint, gint);
+gint sel_get_width (void);
+gint sel_get_height (void);
+gboolean sel_valid_pixel (gint, gint);
+void reset_adv_dialog (void);
+
+
+GtkWidget * dialog_create_selection_area(SELVALS *);
+
diff --git a/plug-ins/selection-to-path/spline.c b/plug-ins/selection-to-path/spline.c
new file mode 100644
index 0000000..1e8c2e7
--- /dev/null
+++ b/plug-ins/selection-to-path/spline.c
@@ -0,0 +1,233 @@
+/* spline.c: spline and spline list (represented as arrays) manipulation.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include <assert.h>
+
+#include <glib.h>
+
+#include "global.h"
+#include "bounding-box.h"
+#include "spline.h"
+#include "vector.h"
+
+/* Return a new spline structure, initialized with (recognizable)
+ garbage. */
+
+spline_type
+new_spline (void)
+{
+ real_coordinate_type coord = { -100.0, -100.0 };
+ spline_type spline;
+
+ START_POINT (spline)
+ = CONTROL1 (spline)
+ = CONTROL2 (spline)
+ = END_POINT (spline)
+ = coord;
+ SPLINE_DEGREE (spline) = -1;
+ SPLINE_LINEARITY (spline) = 0;
+
+ return spline;
+}
+
+
+/* Print a spline in human-readable form. */
+
+void
+print_spline (FILE *f, spline_type s)
+{
+ if (SPLINE_DEGREE (s) == LINEAR)
+ fprintf (f, "(%.3f,%.3f)--(%.3f,%.3f).\n",
+ START_POINT (s).x, START_POINT (s).y,
+ END_POINT (s).x, END_POINT (s).y);
+
+ else if (SPLINE_DEGREE (s) == CUBIC)
+ fprintf (f, "(%.3f,%.3f)..ctrls(%.3f,%.3f)&(%.3f,%.3f)..(%.3f,%.3f).\n",
+ START_POINT (s).x, START_POINT (s).y,
+ CONTROL1 (s).x, CONTROL1 (s).y,
+ CONTROL2 (s).x, CONTROL2 (s).y,
+ END_POINT (s).x, END_POINT (s).y);
+
+ else
+ {
+/* FATAL1 ("print_spline: strange degree (%d)", SPLINE_DEGREE (s)); */
+ }
+}
+
+/* Evaluate the spline S at a given T value. This is an implementation
+ of de Casteljau's algorithm. See Schneider's thesis (reference in
+ ../limn/README), p.37. The variable names are taken from there. */
+
+real_coordinate_type
+evaluate_spline (spline_type s, real t)
+{
+ spline_type V[4]; /* We need degree+1 splines, but assert degree <= 3. */
+ unsigned i, j;
+ real one_minus_t = 1.0 - t;
+ polynomial_degree degree = SPLINE_DEGREE (s);
+
+ for (i = 0; i <= degree; i++)
+ V[0].v[i] = s.v[i];
+
+ for (j = 1; j <= degree; j++)
+ for (i = 0; i <= degree - j; i++)
+ {
+#if defined (__GNUC__)
+ real_coordinate_type t1 = Pmult_scalar (V[j - 1].v[i], one_minus_t);
+ real_coordinate_type t2 = Pmult_scalar (V[j - 1].v[i + 1], t);
+ V[j].v[i] = Padd (t1, t2);
+#else
+ /* HB: the above is really nice, but is there any other compiler
+ * supporting this ??
+ */
+ real_coordinate_type t1;
+ real_coordinate_type t2;
+ t1.x = V[j - 1].v[i].x * one_minus_t;
+ t1.y = V[j - 1].v[i].y * one_minus_t;
+ t2.x = V[j - 1].v[i + 1].x * t;
+ t2.y = V[j - 1].v[i + 1].y * t;
+ V[j].v[i].x = t1.x + t2.x;
+ V[j].v[i].y = t1.y + t2.y;
+#endif
+ }
+
+ return V[degree].v[0];
+}
+
+
+
+/* Return a new, empty, spline list. */
+
+spline_list_type *
+new_spline_list (void)
+{
+ spline_list_type *answer = g_new (spline_list_type, 1);
+
+ SPLINE_LIST_DATA (*answer) = NULL;
+ SPLINE_LIST_LENGTH (*answer) = 0;
+
+ return answer;
+}
+
+
+/* Return a new spline list with SPLINE as the first element. */
+
+spline_list_type *
+init_spline_list (spline_type spline)
+{
+ spline_list_type *answer = g_new (spline_list_type, 1);
+
+ SPLINE_LIST_DATA (*answer) = g_new (spline_type, 1);
+ SPLINE_LIST_ELT (*answer, 0) = spline;
+ SPLINE_LIST_LENGTH (*answer) = 1;
+
+ return answer;
+}
+
+
+/* Free the storage in a spline list. We don't have to free the
+ elements, since they are arrays in automatic storage. And we don't
+ want to free the list if it was empty. */
+
+void
+free_spline_list (spline_list_type *spline_list)
+{
+ if (SPLINE_LIST_DATA (*spline_list) != NULL)
+ safe_free ((address *) &(SPLINE_LIST_DATA (*spline_list)));
+}
+
+
+/* Append the spline S to the list SPLINE_LIST. */
+
+void
+append_spline (spline_list_type *l, spline_type s)
+{
+ assert (l != NULL);
+
+ SPLINE_LIST_LENGTH (*l)++;
+ SPLINE_LIST_DATA (*l) = g_realloc (SPLINE_LIST_DATA (*l),
+ SPLINE_LIST_LENGTH (*l) * sizeof (spline_type));
+ LAST_SPLINE_LIST_ELT (*l) = s;
+}
+
+
+/* Tack the elements in the list S2 onto the end of S1.
+ S2 is not changed. */
+
+void
+concat_spline_lists (spline_list_type *s1, spline_list_type s2)
+{
+ unsigned this_spline;
+ unsigned new_length;
+
+ assert (s1 != NULL);
+
+ new_length = SPLINE_LIST_LENGTH (*s1) + SPLINE_LIST_LENGTH (s2);
+
+ SPLINE_LIST_DATA (*s1) = g_realloc(SPLINE_LIST_DATA (*s1),new_length * sizeof(spline_type));
+
+ for (this_spline = 0; this_spline < SPLINE_LIST_LENGTH (s2); this_spline++)
+ SPLINE_LIST_ELT (*s1, SPLINE_LIST_LENGTH (*s1)++)
+ = SPLINE_LIST_ELT (s2, this_spline);
+}
+
+
+/* Return a new, empty, spline list array. */
+
+spline_list_array_type
+new_spline_list_array (void)
+{
+ spline_list_array_type answer;
+
+ SPLINE_LIST_ARRAY_DATA (answer) = NULL;
+ SPLINE_LIST_ARRAY_LENGTH (answer) = 0;
+
+ return answer;
+}
+
+
+/* Free the storage in a spline list array. We don't
+ want to free the list if it is empty. */
+
+void
+free_spline_list_array (spline_list_array_type *spline_list_array)
+{
+ unsigned this_list;
+
+ for (this_list = 0;
+ this_list < SPLINE_LIST_ARRAY_LENGTH (*spline_list_array);
+ this_list++)
+ free_spline_list (&SPLINE_LIST_ARRAY_ELT (*spline_list_array, this_list));
+
+ if (SPLINE_LIST_ARRAY_DATA (*spline_list_array) != NULL)
+ safe_free ((address *) &(SPLINE_LIST_ARRAY_DATA (*spline_list_array)));
+}
+
+
+/* Append the spline S to the list SPLINE_LIST_ARRAY. */
+
+void
+append_spline_list (spline_list_array_type *l, spline_list_type s)
+{
+ SPLINE_LIST_ARRAY_LENGTH (*l)++;
+
+ SPLINE_LIST_ARRAY_DATA (*l) = g_realloc(SPLINE_LIST_ARRAY_DATA (*l),(SPLINE_LIST_ARRAY_LENGTH (*l))*sizeof(spline_list_type));
+ LAST_SPLINE_LIST_ARRAY_ELT (*l) = s;
+}
diff --git a/plug-ins/selection-to-path/spline.h b/plug-ins/selection-to-path/spline.h
new file mode 100644
index 0000000..3daa9cc
--- /dev/null
+++ b/plug-ins/selection-to-path/spline.h
@@ -0,0 +1,124 @@
+/* spline.h: manipulate the spline representation.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef SPLINE_H
+#define SPLINE_H
+
+#include <stdio.h>
+#include "bounding-box.h"
+#include "types.h"
+
+
+/* Third degree is the highest we deal with. */
+typedef enum
+{
+ LINEAR = 1, QUADRATIC = 2, CUBIC = 3
+} polynomial_degree;
+
+
+/* A Bezier spline can be represented as four points in the real plane:
+ a starting point, ending point, and two control points. The
+ curve always lies in the convex hull defined by the four points. It
+ is also convenient to save the divergence of the spline from the
+ straight line defined by the endpoints. */
+typedef struct
+{
+ real_coordinate_type v[4]; /* The control points. */
+ polynomial_degree degree;
+ real linearity;
+} spline_type;
+
+#define START_POINT(spl) ((spl).v[0])
+#define CONTROL1(spl) ((spl).v[1])
+#define CONTROL2(spl) ((spl).v[2])
+#define END_POINT(spl) ((spl).v[3])
+#define SPLINE_DEGREE(spl) ((spl).degree)
+#define SPLINE_LINEARITY(spl) ((spl).linearity)
+
+
+/* Return a spline structure. */
+extern spline_type new_spline (void);
+
+/* Print a spline on the given file. */
+extern void print_spline (FILE *, spline_type);
+
+/* Evaluate SPLINE at the given T value. */
+extern real_coordinate_type evaluate_spline (spline_type spline, real t);
+
+/* Each outline in a character is typically represented by many
+ splines. So, here is a list structure for that: */
+typedef struct
+{
+ spline_type *data;
+ unsigned length;
+} spline_list_type;
+
+/* An empty list will have length zero (and null data). */
+#define SPLINE_LIST_LENGTH(s_l) ((s_l).length)
+
+/* The address of the beginning of the array of data. */
+#define SPLINE_LIST_DATA(s_l) ((s_l).data)
+
+/* The element INDEX in S_L. */
+#define SPLINE_LIST_ELT(s_l, index) (SPLINE_LIST_DATA (s_l)[index])
+
+/* The last element in S_L. */
+#define LAST_SPLINE_LIST_ELT(s_l) \
+ (SPLINE_LIST_DATA (s_l)[SPLINE_LIST_LENGTH (s_l) - 1])
+
+/* The previous and next elements to INDEX in S_L. */
+#define NEXT_SPLINE_LIST_ELT(s_l, index) \
+ SPLINE_LIST_ELT (s_l, ((index) + 1) % SPLINE_LIST_LENGTH (s_l))
+#define PREV_SPLINE_LIST_ELT(s_l, index) \
+ SPLINE_LIST_ELT (s_l, index == 0 \
+ ? SPLINE_LIST_LENGTH (s_l) - 1 \
+ : index - 1)
+
+/* Construct and destroy new `spline_list_type' objects. */
+extern spline_list_type *new_spline_list (void);
+extern spline_list_type *init_spline_list (spline_type);
+extern void free_spline_list (spline_list_type *);
+
+/* Append the spline S to the list S_LIST. */
+extern void append_spline (spline_list_type *s_list, spline_type s);
+
+/* Append the elements in list S2 to S1, changing S1. */
+extern void concat_spline_lists (spline_list_type *s1, spline_list_type s2);
+
+
+/* Each character is in general made up of many outlines. So here is one
+ more list structure. */
+typedef struct
+{
+ spline_list_type *data;
+ unsigned length;
+} spline_list_array_type;
+
+/* Turns out we can use the same definitions for lists of lists as for
+ just lists. But we define the usual names, just in case. */
+#define SPLINE_LIST_ARRAY_LENGTH SPLINE_LIST_LENGTH
+#define SPLINE_LIST_ARRAY_DATA SPLINE_LIST_DATA
+#define SPLINE_LIST_ARRAY_ELT SPLINE_LIST_ELT
+#define LAST_SPLINE_LIST_ARRAY_ELT LAST_SPLINE_LIST_ELT
+
+/* The usual routines. */
+extern spline_list_array_type new_spline_list_array (void);
+extern void free_spline_list_array (spline_list_array_type *);
+extern void append_spline_list (spline_list_array_type *, spline_list_type);
+
+#endif /* not SPLINE_H */
diff --git a/plug-ins/selection-to-path/types.h b/plug-ins/selection-to-path/types.h
new file mode 100644
index 0000000..9b040fa
--- /dev/null
+++ b/plug-ins/selection-to-path/types.h
@@ -0,0 +1,147 @@
+/* types.h: general types.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef TYPES_H
+#define TYPES_H
+
+/* Booleans. */
+typedef enum { false = 0, true = 1 } boolean;
+
+/* The X11 library defines `FALSE' and `TRUE', and so we only want to
+ define them if necessary. */
+#ifndef FALSE
+#define FALSE false
+#define TRUE true
+#endif /* FALSE */
+
+/* The usual null-terminated string. */
+typedef char *string;
+
+/* A generic pointer in ANSI C. */
+typedef void *address;
+
+/* We use `real' for our floating-point variables. */
+typedef double real;
+
+/* A character code. Perhaps someday we will allow for 16-bit
+ character codes, but for now we are restricted to 256 characters per
+ font (like TeX and PostScript). */
+typedef unsigned char charcode_type;
+
+
+/* Used in file formats. */
+typedef unsigned char one_byte;
+typedef signed char signed_byte;
+typedef unsigned short two_bytes;
+typedef short signed_2_bytes;
+typedef unsigned int four_bytes;
+typedef int signed_4_bytes;
+typedef int byte_count_type;
+
+/* These are intended to be used for output in file formats where a
+ ``byte'' is defined to be eight bits, regardless of the hardware. */
+#define ONE_BYTE_BIG (1 << 8)
+#define TWO_BYTES_BIG (1 << 16)
+#define THREE_BYTES_BIG (1 << 24)
+
+
+/* Complex numbers. */
+typedef struct
+{
+ real real;
+ real imag;
+} complex;
+typedef enum { first_complex_part, second_complex_part} complex_part_type;
+typedef enum { polar_rep, rectangular_rep} complex_rep_type;
+
+
+/* Dimensions of a rectangle. */
+typedef struct
+{
+ unsigned height, width;
+} dimensions_type;
+
+#define DIMENSIONS_HEIGHT(d) ((d).height)
+#define DIMENSIONS_WIDTH(d) ((d).width)
+
+
+/* Cartesian points. */
+typedef struct
+{
+ int x, y;
+} coordinate_type;
+
+typedef struct
+{
+ double x, y;
+} real_coordinate_type;
+
+#if 0
+typedef struct
+{
+ double align_threshold;
+ double corner_always_threshold;
+ unsigned int corner_surround;
+ double corner_threshold;
+ double error_threshold;
+ unsigned int filter_alternative_surround;
+ double filter_epsilon;
+ unsigned int filter_iteration_count;
+ double filter_percent;
+ unsigned int filter_secondary_surround;
+ unsigned int filter_surround;
+ boolean keep_knees;
+ double line_reversion_threshold;
+ double line_threshold;
+ double reparameterize_improvement;
+ double reparameterize_threshold;
+ double subdivide_search;
+ unsigned int subdivide_surround;
+ double subdivide_threshold;
+ unsigned int tangent_surround;
+} SELVALS;
+
+#else
+
+typedef struct
+{
+ double align_threshold;
+ double corner_always_threshold;
+ double corner_surround;
+ double corner_threshold;
+ double error_threshold;
+ double filter_alternative_surround;
+ double filter_epsilon;
+ double filter_iteration_count;
+ double filter_percent;
+ double filter_secondary_surround;
+ double filter_surround;
+ boolean keep_knees;
+ double line_reversion_threshold;
+ double line_threshold;
+ double reparameterize_improvement;
+ double reparameterize_threshold;
+ double subdivide_search;
+ double subdivide_surround;
+ double subdivide_threshold;
+ double tangent_surround;
+} SELVALS;
+
+#endif /* 1 */
+
+#endif /* not TYPES_H */
diff --git a/plug-ins/selection-to-path/vector.c b/plug-ins/selection-to-path/vector.c
new file mode 100644
index 0000000..6c16700
--- /dev/null
+++ b/plug-ins/selection-to-path/vector.c
@@ -0,0 +1,249 @@
+/* vector.c: vector/point operations.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#include "config.h"
+
+#include <glib.h>
+
+#include <math.h>
+#include <assert.h>
+
+#include "global.h"
+#include "config.h"
+
+#include "vector.h"
+
+
+/* Given the point COORD, return the corresponding vector. */
+
+vector_type
+make_vector (const real_coordinate_type c)
+{
+ vector_type v;
+
+ v.dx = c.x;
+ v.dy = c.y;
+
+ return v;
+}
+
+
+/* And the converse: given a vector, return the corresponding point. */
+
+real_coordinate_type
+vector_to_point (const vector_type v)
+{
+ real_coordinate_type coord;
+
+ coord.x = v.dx;
+ coord.y = v.dy;
+
+ return coord;
+}
+
+
+real
+magnitude (const vector_type v)
+{
+ return hypot (v.dx, v.dy);
+}
+
+
+vector_type
+normalize (const vector_type v)
+{
+ vector_type new_v;
+ real m = magnitude (v);
+
+ assert (m > 0.0);
+
+ new_v.dx = v.dx / m;
+ new_v.dy = v.dy / m;
+
+ return new_v;
+}
+
+
+vector_type
+Vadd (const vector_type v1, const vector_type v2)
+{
+ vector_type new_v;
+
+ new_v.dx = v1.dx + v2.dx;
+ new_v.dy = v1.dy + v2.dy;
+
+ return new_v;
+}
+
+
+real
+Vdot (const vector_type v1, const vector_type v2)
+{
+ return v1.dx * v2.dx + v1.dy * v2.dy;
+}
+
+
+vector_type
+Vmult_scalar (const vector_type v, const real r)
+{
+ vector_type new_v;
+
+ new_v.dx = v.dx * r;
+ new_v.dy = v.dy * r;
+
+ return new_v;
+}
+
+
+/* Given the IN_VECTOR and OUT_VECTOR, return the angle between them in
+ degrees, in the range zero to 180. */
+
+real
+Vangle (const vector_type in_vector, const vector_type out_vector)
+{
+ vector_type v1 = normalize (in_vector);
+ vector_type v2 = normalize (out_vector);
+
+ return my_acosd (Vdot (v2, v1));
+}
+
+
+real_coordinate_type
+Vadd_point (const real_coordinate_type c, const vector_type v)
+{
+ real_coordinate_type new_c;
+
+ new_c.x = c.x + v.dx;
+ new_c.y = c.y + v.dy;
+ return new_c;
+}
+
+
+real_coordinate_type
+Vsubtract_point (const real_coordinate_type c, const vector_type v)
+{
+ real_coordinate_type new_c;
+
+ new_c.x = c.x - v.dx;
+ new_c.y = c.y - v.dy;
+ return new_c;
+}
+
+
+coordinate_type
+Vadd_int_point (const coordinate_type c, const vector_type v)
+{
+ coordinate_type a;
+
+ a.x = SROUND ((real) c.x + v.dx);
+ a.y = SROUND ((real) c.y + v.dy);
+ return a;
+}
+
+
+vector_type
+Vabs (const vector_type v)
+{
+ vector_type new_v;
+
+ new_v.dx = fabs (v.dx);
+ new_v.dy = fabs (v.dy);
+ return new_v;
+}
+
+
+/* Operations on points. */
+
+vector_type
+Psubtract (const real_coordinate_type c1, const real_coordinate_type c2)
+{
+ vector_type v;
+
+ v.dx = c1.x - c2.x;
+ v.dy = c1.y - c2.y;
+
+ return v;
+}
+
+/* Operations on integer points. */
+
+vector_type
+IPsubtract (const coordinate_type coord1, const coordinate_type coord2)
+{
+ vector_type v;
+
+ v.dx = coord1.x - coord2.x;
+ v.dy = coord1.y - coord2.y;
+
+ return v;
+}
+
+
+coordinate_type
+IPsubtractP (const coordinate_type c1, const coordinate_type c2)
+{
+ coordinate_type c;
+
+ c.x = c1.x - c2.x;
+ c.y = c1.y - c2.y;
+
+ return c;
+}
+
+
+coordinate_type
+IPadd (const coordinate_type c1, const coordinate_type c2)
+{
+ coordinate_type c;
+
+ c.x = c1.x + c2.x;
+ c.y = c1.y + c2.y;
+
+ return c;
+}
+
+
+coordinate_type
+IPmult_scalar (const coordinate_type c, const int i)
+{
+ coordinate_type a;
+
+ a.x = c.x * i;
+ a.y = c.y * i;
+
+ return a;
+}
+
+
+real_coordinate_type
+IPmult_real (const coordinate_type c, const real r)
+{
+ real_coordinate_type a;
+
+ a.x = c.x * r;
+ a.y = c.y * r;
+
+ return a;
+}
+
+
+boolean
+IPequal (const coordinate_type c1, const coordinate_type c2)
+{
+ return c1.x == c2.x && c1.y == c2.y;
+}
diff --git a/plug-ins/selection-to-path/vector.h b/plug-ins/selection-to-path/vector.h
new file mode 100644
index 0000000..bc6c213
--- /dev/null
+++ b/plug-ins/selection-to-path/vector.h
@@ -0,0 +1,95 @@
+/* vector.h: operations on vectors and points.
+ *
+ * Copyright (C) 1992 Free Software Foundation, Inc.
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 3, or (at your option)
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+
+#ifndef VECTOR_H
+#define VECTOR_H
+
+#include "types.h"
+
+/* Our vectors are represented as displacements along the x and y axes. */
+
+typedef struct
+{
+ real dx, dy;
+} vector_type;
+
+
+/* Consider a point as a vector from the origin. */
+extern vector_type make_vector (const real_coordinate_type);
+
+/* And a vector as a point, i.e., a displacement from the origin. */
+extern real_coordinate_type vector_to_point (const vector_type);
+
+
+/* Definitions for these common operations can be found in any decent
+ linear algebra book, and most calculus books. */
+
+extern real magnitude (const vector_type);
+extern vector_type normalize (const vector_type);
+
+extern vector_type Vadd (const vector_type, const vector_type);
+extern real Vdot (const vector_type, const vector_type);
+extern vector_type Vmult_scalar (const vector_type, const real);
+extern real Vangle (const vector_type in, const vector_type out);
+
+/* These operations could have been named `P..._vector' just as well as
+ V..._point, so we may as well allow both names. */
+#define Padd_vector Vadd_point
+extern real_coordinate_type Vadd_point
+ (const real_coordinate_type, const vector_type);
+
+#define Psubtract_vector Vsubtract_point
+extern real_coordinate_type Vsubtract_point
+ (const real_coordinate_type, const vector_type);
+
+/* This returns the rounded sum. */
+#define IPadd_vector Vadd_int_point
+extern coordinate_type Vadd_int_point
+ (const coordinate_type, const vector_type);
+
+/* Take the absolute value of both components. */
+extern vector_type Vabs (const vector_type);
+
+
+/* Operations on points with real coordinates. It is not orthogonal,
+ but more convenient, to have the subtraction operator return a
+ vector, and the addition operator return a point. */
+extern vector_type Psubtract
+ (const real_coordinate_type, const real_coordinate_type);
+
+/* These are heavily used in spline fitting, so we define them as macros
+ instead of functions. */
+#define Padd(rc1, rc2) \
+ ((real_coordinate_type) { (rc1).x + (rc2).x, (rc1).y + (rc2).y })
+#define Pmult_scalar(rc, r) \
+ ((real_coordinate_type) { (rc).x * (r), (rc).y * (r) })
+
+/* Similarly, for points with integer coordinates; here, a subtraction
+ operator that does return another point is useful. */
+extern vector_type IPsubtract
+ (const coordinate_type, const coordinate_type);
+extern coordinate_type IPsubtractP
+ (const coordinate_type, const coordinate_type);
+extern coordinate_type IPadd
+ (const coordinate_type, const coordinate_type);
+extern coordinate_type IPmult_scalar (const coordinate_type, const int);
+extern real_coordinate_type IPmult_real
+ (const coordinate_type, const real);
+extern boolean IPequal (const coordinate_type, const coordinate_type);
+
+#endif /* not VECTOR_H */