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Comments starting "#LT" or "#CLT" are by Chris Lusby Taylor who rewrote the engraving function in 2011.
History of CLT changes to engraving and other functions it uses:
9 May 2011 Changed test of tool diameter to square it
10 May Note that there are many unused functions, including:
bound_to_bound_distance, csp_curvature_radius_at_t,
csp_special_points, csplength, rebuild_csp, csp_slope,
csp_simple_bound_to_point_distance, csp_bound_to_point_distance,
bez_at_t, bez_to_point_distance, bez_normalized_slope, matrix_mul, transpose
Fixed csp_point_inside_bound() to work if x outside bounds
20 May Now encoding the bisectors of angles.
23 May Using r/cos(a) instead of normalised normals for bisectors of angles.
23 May Note that Z values generated for engraving are in pixels, not mm.
Removed the biarc curves - straight lines are better.
24 May Changed Bezier slope calculation to be less sensitive to tiny differences in points.
Added use of self.options.engraving_newton_iterations to control accuracy
25 May Big restructure and new recursive function.
Changed the way I treat corners - I now find if the centre of a proposed circle is
within the area bounded by the line being tested and the two angle bisectors at
its ends. See get_radius_to_line().
29 May Eliminating redundant points. If A,B,C colinear, drop B
30 May Eliminating redundant lines in divided Beziers. Changed subdivision of lines
7Jun Try to show engraving in 3D
8 Jun Displaying in stereo 3D.
Fixed a bug in bisect - it could go wrong due to rounding errors if
1+x1.x2+y1.y2<0 which should never happen. BTW, I spotted a non-normalised normal
returned by csp_normalized_normal. Need to check for that.
9 Jun Corrected spelling of 'definition' but still match previous 'defention' and 'defenition' if found in file
Changed get_tool to find 1.6.04 tools or new tools with corrected spelling
10 Jun Put 3D into a separate layer called 3D, created unless it already exists
Changed csp_normalized_slope to reject lines shorter than 1e-9.
10 Jun Changed all dimensions seen by user to be mm/inch, not pixels. This includes
tool diameter, maximum engraving distance, tool shape and all Z values.
12 Jun ver 208 Now scales correctly if orientation points moved or stretched.
12 Jun ver 209. Now detect if engraving toolshape not a function of radius
Graphics now indicate Gcode toolpath, limited by min(tool diameter/2,max-dist)
TODO Change line division to be recursive, depending on what line is touched. See line_divide
engraving() functions (c) 2011 Chris Lusby Taylor, clusbytaylor@enterprise.net
Copyright (C) 2009 Nick Drobchenko, nick@cnc-club.ru
based on gcode.py (C) 2007 hugomatic...
based on addnodes.py (C) 2005,2007 Aaron Spike, aaron@ekips.org
based on dots.py (C) 2005 Aaron Spike, aaron@ekips.org
based on interp.py (C) 2005 Aaron Spike, aaron@ekips.org
based on bezmisc.py (C) 2005 Aaron Spike, aaron@ekips.org
based on cubicsuperpath.py (C) 2005 Aaron Spike, aaron@ekips.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 2 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, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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tool_diametert 3s# Tool diameter used for area cuttings --max-area-curvest max_area_curvest 100s! Maximum area curves for each areas --area-inkscape-radiust area_inkscape_radiust 0s9 Area curves overlaping (depends on tool diameter [0,0.9])s --area-tool-overlapt area_tool_overlaps -10s* Radius for preparing curves using inkscapes --unitR? s G21 (All units in mm)t Unitss --active-tabt
active_tabs Defines which tab is actives --area-fill-anglet area_fill_angles' Fill area with lines heading this angles --area-fill-shiftt area_fill_shifts! Shift the lines by tool d * shifts --area-fill-methodt area_fill_methods zig-zags' Filling method either zig-zag or spirals --area-find-artefacts-diametert area_find_artefacts_diameters Artefacts seeking radiuss --area-find-artefacts-actiont area_find_artefacts_actions mark with an arrows Artefacts action types --auto_select_pathsRA s( Select all paths if nothing is selected.s --loft-distancest loft_distancest 10s Distances between paths.s --loft-directiont loft_directiont crosswises" Direction of loft's interpolation.s --loft-interpolation-degreet loft_interpolation_degreet 2sK Which interpolation use to loft the paths smooth interpolation or staright.s --min-arc-radiusRV s .1sK All arc having radius less than minimum will be considered as straight lines" --engraving-sharp-angle-tollerancet engraving_sharp_angle_tollerancet 150sT All angles thar are less than engraving-sharp-angle-tollerance will be thought sharps --engraving-max-distt engraving_max_dists] Distanse from original path where engraving is not needed (usualy it's cutting tool diameter)s --engraving-newton-iterationst engraving_newton_iterationss2 Number of sample points used to calculate distances" --engraving-draw-calculation-pathst engraving_draw_calculation_pathss0 Draw additional graphics to debug engraving paths! --engraving-cutter-shape-functiont engraving_cutter_shape_functionR s) Cutter shape function z(w). Ex. cone: w. s
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help_languages4 http://www.cnc-club.ru/forum/viewtopic.php?f=33&t=35s Open help page in webbrowser.s --offset-radiust
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g S( Ni����sk Orientation points for '%s' layer have not been found! Please add orientation points using Orientation tab!t labelt inkscapet no_orientation_pointsi s> There are more than one orientation point groups in '%s' layert& more_than_one_orientation_point_groupsi i i s Layer '%s' Orientation points: s� Orientation points are wrong! (if there are two orientation points they should not be the same. If there are three orientation points they should not be in a straight line.)t wrong_orientation_pointss%
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Warning tools_warning
orientation_warning
bad_orientation_points_in_some_layers
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orientation_have_not_been_defined
tool_have_not_been_defined
selection_does_not_contain_paths
selection_does_not_contain_paths_will_take_all
selection_is_empty_will_comupe_drawing
selection_contains_objects_that_are_not_paths
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t d � d � q q Wd S( NR� R� R� t groupmodeR� R� R� t 3DR� s Gcodetools orientation groups* Found orientation points in '%s' layer: %ssV Warning! Found bad orientation points in '%s' layer. Resulting Gcode could be corrupt!t% bad_orientation_points_in_some_layerss Gcodetools tool definitions Gcodetools tool defenitions Found tool in '%s' layer: %ss# Gcodetools graffiti reference points\ Warning! Found bad graffiti reference point in '%s' layer. Resulting Gcode could be corrupt!R� s In-out reference point groups In-out reference pointR� i i s: This extension works with Paths and Dynamic Offsets and groups of them only! All other objects will be ignored!
Solution 1: press Path->Object to path or Shift+Ctrl+C.
Solution 2: Path->Dynamic offset or Ctrl+J.
Solution 3: export all contours to PostScript level 2 (File->Save As->.ps) and File->Import this file.t- selection_contains_objects_that_are_not_paths( t getchildrenR| t selectedRJ R� R� R� t my3DlayerR t get_orientation_pointsRu R� R
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| f | t+ t* |D |C � q�W|6 d t1 k r|6 d1 d k rt1 }4 n | }> qo Wt4 t4 d g 7a4 t dC t4 � t5 t5 d g 7a5 t dD t5 � � j j t1 k r�t j j � t j d- d$ � i t% j3 t4 g � d. 6t9 dE dF d: 6dG d+ 6� } x� t) t t4 � � D]� a+ t j j � t j d- d$ � i dG d+ 6dH d: 6t: t4 t+ d d � t j dI dJ � 6t: t4 t+ d d � t j dK dJ � 6t: t5 t+ � t j dL dJ � 6t: t5 t+ � t j dM dJ � 6dN t j dO dJ � 6� q�Wn | t4 g 7} g }E x t5 D] } |E | | g 7}E q�Wt dP t5 � t dQ |E � | |E g 7} q< WqLqLW| g k rR� j; | | | | � }F � j< |F | � � | � j= |F | � j j> � 7} qRqfqfW| d
k r� j? dR t: d | | � |
dS 7_? � j? dT � j | d d dS 7_? � j? dU t: � j j@ � |
dS 7_? � j? dV t: � j j> � |
dS 7_? � jA | � n � j t dW � d
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s^ | \ } } | \ } } t j t d d | | | | d � � } t | | � t k sl t | � t k r� t | | � t k r� | | d f St j d | � } n | | | | | } | | | | } | d k r� | d | d d f S| | | | } | d k r| } n d | d k o;d � j j k n rId } n | | | | | f S( sp LT Find angle bisecting the normals n1 and n2
Parameters: Normalised normals
Returns: nx - Normal of bisector, normalised to 1/cos(a)
ny -
sinBis2 - sin(angle turned/2): positive if turning in
Note that bisect(n1,n2) and bisect(n2,n1) give opposite sinBis2 results
If sinturn is less than the user's requested angle tolerance, I return 0
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| | | | | d k r t S| | | | | | d k r-t St | t � S( sX LT find biggest circle we can engrave here, if constrained by line 2-3
Parameters:
x1,y1,nx1,ny1 coordinates and normal of the line we're currently engraving
nx2,ny2 angle bisector at point 2
x2,y2 coordinates of first point of line 2-3
nx23,ny23 normal to the line 2-3
x3,y3 coordinates of the other end
nx3,ny3 angle bisector at point 3
Returns:
radius or self.options.engraving_max_dist if line doesn't limit radius
This function can be used in three ways:
- With nx1=ny1=0 it finds circle centred at x1,y1
- with nx1,ny1 normalised, it finds circle tangential at x1,y1
- with nx1,ny1 scaled by 1/cos(a) it finds circle centred on an angle bisector
where a is the angle between the bisector and the previous/next normals
If the centre of the circle tangential to the line 2-3 is outside the
angle bisectors at its ends, ignore this line.
# Note that it handles corners in the conventional manner of letter cutting
# by mitering, not rounding.
# Algorithm uses dot products of normals to find radius
# and hence coordinates of centre
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� | } t | t � S( s] LT find biggest circle we can engrave here, constrained by point x2,y2
This function can be used in three ways:
- With nx=ny=0 it finds circle centred at x1,y1
- with nx,ny normalised, it finds circle tangential at x1,y1
- with nx,ny scaled by 1/cos(a) it finds circle centred on an angle bisector
where a is the angle between the bisector and the previous/next normals
Note that I wrote this to replace find_cutter_centre. It is far less
sophisticated but, I hope, far faster.
It turns out that finding a circle touching a point is harder than a circle
touching a line.
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discriminatorR" ( ( s, /usr/share/inkscape/extensions/gcodetools.pyt get_radius_to_point� s ! $* #c s� | d | d } | d | d } | d | d } | d | d } | d | d } | d | d } d t j | | � � j j }
t | | | | � |
k r� t | | | | � |
k r� | | | | g g S| d | d d } | d | d d } | d | d d }
| d | d d } | d | d d } | d | d d } | |
d } | | d } |
| d } | | d } | | d | | d g } � | | | g | | g | � � | | | g | | g | � S( sm LT recursively divide a Bezier.
Divides until difference between each
part and a straight line is less than some limit
Note that, as simple as this code is, it is mathematically correct.
Parameters:
a,b,c and d are each a list of x,y real values
Bezier end points a and d, control points b and c
Returns:
a list of Beziers.
Each Bezier is a list with four members,
each a list holding a coordinate pair
Note that the final point of one member is the same as
the first point of the next, and the control points
there are smooth and symmetrical. I use this fact later.
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x�t d t t � � D]�} x�t d t t | � � D]�} t | | d d rX| t k r't | t � d k s� t | t � t t t � d k r'q� q'n � | | f | | f t | | d d � } ns| t k r)t | t � d k s� t | t � t t t � d k r�q� n t | t � d k r�t t | t d d d d k r�q� n t | t � t t t � d k r)t t d d d k r)q� q)n t | | d d \ } } t | | d d \ } } t | | d d \ } } t | | d \ } } t | | d \ } } t | | d d d k r�| } | } n t | | d d k r�| } | } n t | | � t | | � } } t | | � t | | � } } | d t k r�| |
k s� | | k s� | | k s� | |
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q� q� Wq� W| | | f S( s3 LT Find biggest circle we can draw inside path at point x1,y1 normal nx,ny
Parameters:
point - either on a line or at a reflex corner
normal - normalised to 1 if on a line, to 1/cos(a) at a corner
Returns:
tuple (j,i,r)
..where j and i are indices of limiting segment, r is radius
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t nlLTRi Rd R� R RP R� Rv Rw RT ( R R� Rf Rg Rd Re R� t jjmint iiminR" RO RP t ymint ymaxt jjt iiR� Ra Rb R� R� Rm Rn R� R� Ro Rp t x23mint x23maxt y23mint y23max( Rr Rt ( s, /usr/share/inkscape/extensions/gcodetools.pyt get_biggest� sX %% : 1 : : < @ H %0c
s� | \ } } | \ }
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d } | | d } � | | f | |
f � \ } } } | t k r� | | | g g S| | k r� | | k r� | | | g � | | f | | |
| f | | | |
f | d � g S| | k r8| | k r8� | | f | | | | f | | | |
f | d � | | | g g S� | | f | | | | f | | | |
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f | d � g S( s LT recursively divide a line as much as necessary
NOTE: This function is not currently used
By noting which other path segment is touched by the circles at each end,
we can see if anything is to be gained by a further subdivision, since
if they touch the same bit of path we can move linearly between them.
Also, we can handle points correctly.
Parameters:
end points and indices of limiting path, normal, length
Returns:
list of toolpath points
each a list of 3 reals: x, y coordinates, radius
i ( t lmin( R t j0t i0Ri R� R� Rl R� R R Rf Rg Rd Re R� R� R� R� R7 ( R� t line_divide( s, /usr/share/inkscape/extensions/gcodetools.pyR� # s !$ DDc S sb | \ } } t | d � } t | d � } t | d � } t t � d k r t d \ } } }
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} t d } | | k r| | k r| |
k r| | k rt j | d | | d | � } t j | d | | d | � } t j | d | d | d | d � } | | k r| | k rt | d | | d | | d | | d | � | } | t k r| | | | | | } t | � t k rt j � t j � qqqqq n t | | g | | g | | g | | | | g g 7a t | g 7a d S( s� LT Save this point and delete previous one if linear
The point is, we generate tons of points but many may be in a straight 3D line.
There is no benefit in saving the imtermediate points.
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t j d d � 6� | r�t j j � t j d d � i d d 6d d 6t | � t j d d � 6t | � t j d d � 6t | � t j d d � 6t | � t j d d � 6d
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d � | f d 6d | d t | d � d d 6d d 6� q�n d S( s LT Draw this point as a circle with a 1px dot in the middle (x,y)
and a 3D line from (x0,y0) down to x,y. 3D line thickness should be t/2
Note that points that are subsequently erased as being unneeded do get
displayed, but this helps the user see the total area covered.
R� R� s Engraving calculation toolpathR� sB fill:#ff00ff; fill-opacity:0.46; stroke:#000000; stroke-width:0.1;R� R R� R i R� R� RC R� s Engraving calculation pathss? fill:none; fill-opacity:0.46; stroke:#000000; stroke-width:0.1;s
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s@ stroke:#f000af; stroke-opacity:0.46; stroke-width:0.1; fill:nones Engraving normalss@ stroke:#0000ff; stroke-opacity:0.46; stroke-width:0.1; fill:nones Engraving bisectorss i,j,jjmin,iimin,wR� R� R> R8 s Engraving calculation pathss? fill:none; fill-opacity:0.46; stroke:#000000; stroke-width:0.1;R R� R R� R� RC R� s wl in pixelss wl in user unitss" (Tool diameter should be at least s )
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