Run benchmark script on 6 spiral approaches
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*.DS_Store
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benchmark
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@ -83,8 +83,9 @@ PLA is not recommended but this doesn't mean you can't get an acceptable results
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### Dependencies
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* [OpenSCAD](https://www.openscad.org/downloads.html) + [cli](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_OpenSCAD_in_a_command_line_environment) ([Mac](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_OpenSCAD_in_a_command_line_environment#MacOS_notes)) ([Windows](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_OpenSCAD_in_a_command_line_environment#Windows_notes))
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* Bash
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* [OpenSCAD](https://www.openscad.org/downloads.html) + [cli](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_OpenSCAD_in_a_command_line_environment) ([Mac](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_OpenSCAD_in_a_command_line_environment#MacOS_notes)) ([Windows](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Using_OpenSCAD_in_a_command_line_environment#Windows_notes))
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* [ADMesh](https://github.com/admesh/admesh)
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### Build Scripts
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@ -0,0 +1,54 @@
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echo "Benchmarking GNAL spiral generation"
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VERSION=`bash ./scripts/version.sh`
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CPU=`bash ./scripts/cpu.sh`
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DATE=`date -u +%s` #timestamp in seconds
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NOTES="./notes/benchmark.csv"
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ROTATIONS=( 1 2 5 10 20 )
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DIAMETERS=( 47 225 300 )
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COMPLETE=( 40 60 )
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echo "version,cpu,date,source,diameter,rotations,$fn,size,time" > $NOTES
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for SPIRAL in ./spiral/*.scad
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do
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FILENAME=`basename ${SPIRAL}`
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echo "Rendering ${SPIRAL}..."
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for ROT in "${ROTATIONS[@]}"
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do
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:
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for D in "${DIAMETERS[@]}"
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do
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:
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echo "Rendering ${SPIRAL} for ${ROT} rotations @ ${D}mm"
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TMP=`mktemp`
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start=`date +%s`
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openscad -o "${TMP}.stl" -D N=${ROT} -D D=${D} -D FN=100 "${SPIRAL}"
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end=`date +%s`
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runtime=$((end-start))
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size=`wc -c < "${TMP}.stl"`
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size=`echo $size | xargs`
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line="${VERSION},${CPU},${DATE},${FILENAME},${D},${ROT},100,$size,$runtime"
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echo $line
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echo $line >> $NOTES
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rm "${TMP}.stl"
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done
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done
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for C in "${COMPLETE[@]}"
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do
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:
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echo "Rendering complete ${SPIRAL} with ${C} rotations"
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TMP=`mktemp`
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start=`date +%s`
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echo -o "${TMP}.stl" -D N=${C} -D D=47 "${SPIRAL}"
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end=`date +%s`
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runtime=$((end-start))
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echo "${TMP}.stl"
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#rm "${TMP}.stl"
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done
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done
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@ -0,0 +1,67 @@
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D=300; // start diameter
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N=1; // number of spirals
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FN=100;
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$fn=FN;
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H = 2.1;
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/**
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* Render all spiral facets for as many rotations as supplied
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*/
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module spiral (START_D = 50, SPIRALS = 39) {
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//STOP_D = 100;
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SPACING = 0.86;//1.34;
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TOP_T = 0.86; //thickness
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BOTTOM_T = 1.4;
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START_R = START_D / 2;
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union () {
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for (i = [0 : $fn]) {
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rotate ([0, 0, i * (360 / $fn)]) {
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for (x = [0: (SPIRALS - 1)]) {
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spiral_facet(i, x, START_R, SPACING, BOTTOM_T, TOP_T, H);
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}
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}
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}
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}
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}
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/**
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* Generates a single face of the spiral, in this case a trapazoidal
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* shape. Issues are (1) performance (maybe use of hull()) and (2) all
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* facet lenths are the same, despite the diameter. This means that
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* there are excessive numbers of facets for the smaller spirals to
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* compensate for the number of facets needed for the outer spiral.
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*/
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module spiral_facet (i, x, START_R, SPACING, BOTTOM_T, TOP_T, H) {
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STEP_SIZE = ((SPACING + BOTTOM_T) / $fn);
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STEP_OFFSET = i * STEP_SIZE;
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SPIRAL_START_OFFSET = (x * (SPACING + BOTTOM_T));
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ACTUAL_R = START_R + SPIRAL_START_OFFSET + STEP_OFFSET;
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L = 2 * (ACTUAL_R * tan((360 / $fn) / 2));
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ANGLE = -atan( STEP_SIZE / (L / 2) ) / 2;
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OFFSET = START_R - (BOTTOM_T / 2) + SPIRAL_START_OFFSET + STEP_OFFSET;
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translate ([OFFSET, 0, - H / 2]) {
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rotate ([0, 0, ANGLE]) {
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//replace hull for quick render?
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//test spiral lib
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hull () {
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translate([0, 0, H])
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cube([TOP_T, L, 0.1], center=true);
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cube([BOTTOM_T, L, 0.1], center=true);
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}
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}
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}
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}
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spiral(D, N);
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D=300; // start diameter
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N=1; // number of spirals
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FN=100;
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$fn=FN;
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module spiral_facet (i, SPIRAL, START_R = 48, SPACING = 2, FACET_SIZE = 1, FN = 360) {
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BOTTOM_T = 1.2;
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TOP_T = .3;
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H = 2.1;
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STEP_SIZE = SPACING / FN;
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STEP_OFFSET = (SPIRAL * SPACING) + (i * STEP_SIZE);
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ROT = i* (360 / FN);
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ANGLE = 0;
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OFFSET = START_R + STEP_OFFSET;
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rotate([0, 0, ROT]) translate ([OFFSET, 0, - H / 2]) {
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rotate ([0, 0, ANGLE]) {
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hull () {
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translate([(BOTTOM_T - TOP_T) / 2, 0, H])
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cube([TOP_T, FACET_SIZE, 0.1], center=true);
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cube([BOTTOM_T, FACET_SIZE, 0.1], center=true);
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}
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//cube([BOTTOM_T, FACET_SIZE, H], center = true);
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}
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}
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}
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//https://www.youtube.com/watch?v=lsSeRxpoIaY
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//https://www.mathportal.org/calculators/plane-geometry-calculators/right-triangle-calculator.php
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module spiral (SPIRALS = 40, START_D = 48) {
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SPACING = 2.075;
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FACET_SIZE = 1;
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for (SPIRAL = [0 : SPIRALS - 1]) {
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//C = PI * R^2
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C = PI * pow(( (START_D / 2) + (SPIRAL * SPACING) ) / 2, 2);
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FN = ceil( (C / FACET_SIZE) * .37 );
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for (i = [0 : FN - 1]) {
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spiral_facet(i, SPIRAL, START_D / 2, SPACING, FACET_SIZE, FN);
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}
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}
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}
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spiral(N, D);
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D=300; // start diameter
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N=1; // number of spirals
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FN=100;
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$fn=FN;
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include <../libraries/path_extrude.scad>;
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module spiral (count = 40, start_d = 48, spacing = 2.075) {
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//$fn = 80;
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bottom = 1.2;
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top = .3;
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top_offset = (bottom - top);
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h = 2.2;
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angle_i = 360 / $fn;
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increment = spacing / $fn;
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facetProfile = [[0, 0], [top_offset, -h], [bottom, -h], [bottom, 0]];
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spiralPath = [ for(t = [0 : $fn * count])
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[((start_d / 2) + (t * increment)) * cos(t * angle_i), ((start_d / 2) + (t * increment)) * sin(t * angle_i), 0] ];
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path_extrude(exShape=facetProfile, exPath=spiralPath);
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}
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spiral(N, D);
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D=300; // start diameter
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N=1; // number of spirals
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FN=100;
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$fn=FN;
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include <../libraries/path_extrude.scad>;
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//Distinction from v3: use of for loop and union to join rotations
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module spiral (count = 40, start_d = 48, spacing = 2.075) {
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facet_size = 30;
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bottom = 1.2;
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top = .4;
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top_offset = (bottom - top);
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h = 2.2;
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od = start_d + (spacing * 2 * count);
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echo("SPIRAL LENGTH", PI * count * (od + start_d + 1) / 2);
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echo("OUTER D", od);
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facetProfile = [[0, 0], [top_offset, -h], [bottom, -h], [bottom, 0]];
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union () {
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for (s = [0 : count - 1]) {
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d = start_d + (s * spacing * 2);
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c = PI * pow(d / 2, 2);
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$fn = ceil( c / facet_size );
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angle_i = 360 / $fn;
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increment = spacing / $fn;
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spiralPath = [ for(t = [0 : $fn + 1]) [((d / 2) + (t * increment)) * cos(t * angle_i), ((d / 2) + (t * increment)) * sin(t * angle_i), 0] ];
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path_extrude(exShape=facetProfile, exPath=spiralPath);
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}
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}
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}
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spiral(N, D);
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D=300; // start diameter
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N=1; // number of spirals
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FN=100;
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$fn=FN;
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include <../libraries/path_extrude.scad>;
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//Distinction from v4 compressed spiralPath generation into single line
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module spiral (count = 40, start_d = 48, spacing = 2.095) {
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facet_size = 10;
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bottom = 1.2;
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top = .3;
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top_offset = (bottom - top);
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h = 2.2;
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facetProfile = [[0, 0], [top_offset, -h], [bottom, -h], [bottom, 0]];
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spiralPath = [ for (s = [0 : count - 1]) for(t = [0 : ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size ) - 1]) [(((start_d + (s * spacing * 2)) / 2) + (t * (spacing / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size )))) * cos(t * (360 / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size ))), (((start_d + (s * spacing * 2)) / 2) + (t * (spacing / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size )))) * sin(t * (360 / ceil( (PI * pow((start_d + (s * spacing * 2)) / 2, 2)) / facet_size ))), 0] ];
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path_extrude(exShape=facetProfile, exPath=spiralPath);
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}
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spiral(N, D);
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D=300; // start diameter
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N=1; // number of spirals
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FN=100;
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$fn=FN;
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R = (D + (N * 2.095)) / 2;
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module ShapeToExtrude ()
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{
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bottom = 1.2;
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top = .3;
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top_offset = (bottom - top);
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h = 2.2;
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// Build in +x space. The outside edge of this shape must follow the extrusion path, or there will be open seams..
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polygon ( points= [
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[0, 0],
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[top_offset, h],
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[bottom, h],
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[bottom, 0]
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]);
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}
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module InwardSpiral (StepSize, Steps, StartRadius, Pitch, ShapeX) {
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for (i=[0 : Steps - 1]) {
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// This could be made more computationally efficient
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// by collapsing intermediate values and by doing only
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// essential calculations inside the loop, but for now
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// let's just leave it easy to read.
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ThisTheta = StepSize * i;
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NextTheta = StepSize * (i + 1);
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ThisRadius = StartRadius - i * (Pitch * (StepSize / 360));
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// Spiral step approximated by arc of radius ThisRadius,
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// passing through the start and end points calculated here.
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NextRadius = StartRadius - (i + 1) * (Pitch * (StepSize / 360));
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ThisX = ThisRadius * sin(ThisTheta);
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ThisY = ThisRadius * cos(ThisTheta);
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NextX = NextRadius * sin(NextTheta);
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NextY = NextRadius * cos(NextTheta);
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DeltaX = NextX - ThisX;
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DeltaY = NextY - ThisY;
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SlopeToNext = DeltaY / DeltaX;
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BisecSlope = -1 / SlopeToNext;
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ThisXYToBisector = sqrt(DeltaX * DeltaX + DeltaY * DeltaY) / 2;
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BisectX = ThisX + (DeltaX / 2);
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BisectY = ThisY + (DeltaY / 2);
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BisectToCentre = sqrt(pow(ThisRadius, 2) - pow(ThisXYToBisector, 2));
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AbsXComponent = sqrt(pow(BisectToCentre, 2) / ( 1 + pow(BisecSlope, 2)));
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XComponent = NextY < ThisY ? AbsXComponent: -AbsXComponent;
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YComponent = XComponent * BisecSlope;
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CentreX = BisectX - XComponent;
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CentreY = BisectY - YComponent;
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ExtrudeAngle = -2 * acos(BisectToCentre / ThisRadius);
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ArcOrientation = NextY < ThisY ? atan(BisecSlope) - (ExtrudeAngle / 2) : -180 + atan(BisecSlope) -(ExtrudeAngle / 2);
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translate([CentreX, CentreY, 0]) {
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rotate ([0, 0, ArcOrientation]) {
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rotate_extrude (angle=ExtrudeAngle, $fn=300) translate ([ThisRadius - ShapeX, 0, 0])ShapeToExtrude();
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}
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}
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}
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}
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module spiral () {
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SPIRALROTATION=N * 360;
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SPIRALSTEPS=180;
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INITIALRADIUS= 300 / 2 ;
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PITCH=2.095;
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XMAXSHAPE=2;
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InwardSpiral (
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SPIRALROTATION/SPIRALSTEPS,
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SPIRALSTEPS,
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INITIALRADIUS,
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PITCH,
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XMAXSHAPE);
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}
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spiral();
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