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New demo showing nonlinear transform of both x and y axes jointly. · gnuplot/gnuplot@6002b49 · GitHub

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Commit 6002b49

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Ethan A Merritt
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New demo showing nonlinear transform of both x and y axes jointly.
Map projections using [longitude ; latitude] -> [x, y] Note: We lack a mechanism to provide inverse transforms for mouse readout.
1 parent dc265e5 commit 6002b49

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‎demo/html/Makefile‎

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# Several of the demos need manual intervention:
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# fontfile vector epslatex
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#
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html: airfoil.html approximate.html armillary.html array.html arrowstyle.html barchart_art.html binary.html bins.html bivariat.html boxplot.html boxclusters.html candlesticks.html cerf.html circles.html cities.html complex_trig.html columnhead.html contours.html custom_contours.html controls.html custom_key.html dashtypes.html datastrings.html dgrid3d.html discrete.html electron.html ellipse.html enhanced_utf8.html epslatex.html errorbars.html fenceplot.html fillbetween.html fillcrvs.html fillstyle.html finance.html fit.html hidden.html hidden2.html histograms.html histograms2.html gantt.html image.html image2.html index.html iterate.html jitter.html label_stacked_histograms.html layout.html lines_arrows.html linkedaxes.html margins.html monotonic_spline.html multiaxis.html multimsh.html multiplt.html nokey.html nonlinear1.html nonlinear3.html parallel.html param.html piecewise.html pm3dcolors.html pm3d.html pm3dgamma.html pm3d_lighting.html pointsize.html polar.html poldat.html prob2.html prob.html rainbow.html random.html rectangle.html rgba_lines.html rgbalpha.html rgb_variable.html rotate_labels.html rugplot.html running_avg.html sampling.html scatter.html simple.html singulr.html smooth.html solar_path.html spline.html smooth_splines.html steps.html stringvar.html surface1.html surface2.html azimuth.html transparent.html transparent_solids.html textbox.html tics.html timedat.html ttics.html using.html varcolor.html vector.html violinplot.html walls.html world.html world2.html animate2.html heatmaps.html stats.html zerror.html
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html: airfoil.html approximate.html armillary.html array.html arrowstyle.html barchart_art.html binary.html bins.html bivariat.html boxplot.html boxclusters.html candlesticks.html cerf.html circles.html cities.html complex_trig.html columnhead.html contours.html custom_contours.html controls.html custom_key.html dashtypes.html datastrings.html dgrid3d.html discrete.html electron.html ellipse.html enhanced_utf8.html epslatex.html errorbars.html fenceplot.html fillbetween.html fillcrvs.html fillstyle.html finance.html fit.html hidden.html hidden2.html histograms.html histograms2.html gantt.html image.html image2.html index.html iterate.html jitter.html label_stacked_histograms.html layout.html lines_arrows.html linkedaxes.html map_projection.html margins.html monotonic_spline.html multiaxis.html multimsh.html multiplt.html nokey.html nonlinear1.html nonlinear3.html parallel.html param.html piecewise.html pm3dcolors.html pm3d.html pm3dgamma.html pm3d_lighting.html pointsize.html polar.html poldat.html prob2.html prob.html rainbow.html random.html rectangle.html rgba_lines.html rgbalpha.html rgb_variable.html rotate_labels.html rugplot.html running_avg.html sampling.html scatter.html simple.html singulr.html smooth.html solar_path.html spline.html smooth_splines.html steps.html stringvar.html surface1.html surface2.html azimuth.html transparent.html transparent_solids.html textbox.html tics.html timedat.html ttics.html using.html varcolor.html vector.html violinplot.html walls.html world.html world2.html animate2.html heatmaps.html stats.html zerror.html
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index.html: index.save
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cp index.save index.html

‎demo/html/Makefile.canvas‎

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#
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html_3d: binary.html bivariat.html contours.html custom_contours.html datastrings.html discrete.html errorbars.html fenceplot.html hidden.html hidden2.html margins.html multimsh.html pm3dcolors.html pm3d.html pm3d_lighting.html pointsize.html random.html rgb_variable.html sampling.html scatter.html singulr.html surface1.html surface2.html azimuth.html transparent_solids.html vector.html walls.html world.html world2.html zerror.html
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html_2d: airfoil.html approximate.html array.html barchart_art.html bins.html boxplot.html boxclusters.html candlesticks.html canvas_utf8.html circles.html cities.html columnhead.html controls.html custom_key.html dashtypes.html electron.html enhanced_utf8.html fillbetween.html fillcrvs.html fillstyle.html finance.html histograms.html histograms2.html hypertext.html gantt.html index.html iterate.html jitter.html label_stacked_histograms.html layout.html lines_arrows.html linkedaxes.html monotonic_spline.html multiaxis.html multiplt.html nonlinear1.html nonlinear3.html nokey.html param.html piecewise.html polar.html poldat.html prob2.html prob.html rainbow.html ellipse.html rectangle.html rgba_lines.html rgbalpha.html rotate_labels.html rugplot.html running_avg.html simple.html smooth.html solar_path.html smooth_splines.html spline.html steps.html transparent.html timedat.html ttics.html using.html varcolor.html world.html heatmaps.html stats.html violinplot.html
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html_2d: airfoil.html approximate.html array.html barchart_art.html bins.html boxplot.html boxclusters.html candlesticks.html canvas_utf8.html circles.html cities.html columnhead.html controls.html custom_key.html dashtypes.html electron.html enhanced_utf8.html fillbetween.html fillcrvs.html fillstyle.html finance.html histograms.html histograms2.html hypertext.html gantt.html index.html iterate.html jitter.html label_stacked_histograms.html layout.html lines_arrows.html linkedaxes.html map_projection.html monotonic_spline.html multiaxis.html multiplt.html nonlinear1.html nonlinear3.html nokey.html param.html piecewise.html polar.html poldat.html prob2.html prob.html rainbow.html ellipse.html rectangle.html rgba_lines.html rgbalpha.html rotate_labels.html rugplot.html running_avg.html simple.html smooth.html solar_path.html smooth_splines.html spline.html steps.html transparent.html timedat.html ttics.html using.html varcolor.html world.html heatmaps.html stats.html violinplot.html
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html: html_2d html_3d
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‎demo/html/Makefile.svg‎

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‎demo/html/index.canvas‎

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<li><a href="label_stacked_histograms.html">label stacked histogram</a></li>
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<li><a href="heatmaps.html">2D and 3D heat maps</a></li>
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<li><a href="solar_path.html">solar path diagram</a></li>
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<li><a href="map_projection.html">map projections</a></li>
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<li><a href="violinplot.html">violin plot</a></li>
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</ul>
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‎demo/html/index.save‎

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<li><a href="label_stacked_histograms.html">label stacked histogram</a></li>
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<li><a href="heatmaps.html">2D and 3D heat maps</a></li>
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<li><a href="solar_path.html">solar path diagram</a></li>
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<li><a href="map_projection.html">map projections</a></li>
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<li><a href="violinplot.html">violin plot</a></li>
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</ul>
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‎demo/html/index.svg‎

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LoadingViewer requires iframe.

‎demo/map_projection.dem‎

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# Map projections are nonlinear transforms (λ,φ) -> (x,y)
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# where λ = longitude φ = latitude
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# "Winkel tripel" map projection (Oswald Winkel 1874-1953)
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# This is the arithmetic mean of an equirectangular projection and the
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# Aitoff projection.
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# Note: mouse tracking does *not* report longitude, latitude
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set title "'{/:Bold Winkel tripel}' map projection"
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π = pi
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φ1 = acos(2./π)
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sinc(x) = (x==0) ? 1.0 : sin(x) / x
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α(λ,φ) = acos(cos(φ) * cos(λ/2.))
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x_W3(λ, φ) = 0.5 * (λ*cos(φ1) + (2*cos(φ)*sin(λ/2.))/sinc(α(λ,φ)))
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y_W3(λ, φ) = 0.5 * (φ + sin(φ)/sinc(α(λ,φ)))
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set key top right at screen 0.98, 0.95 samplen 0.3
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set angle degrees
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unset xtics
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unset ytics
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unset border
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set lmargin 1
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set rmargin 1
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set size ratio 0.5
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set xrange [-180:180]
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set yrange [-90:90]
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plot for [λ=-180:180:10] [φ=-90:90] '+' using (x_W3(λ,φ)):(y_W3(λ,φ)) with lines lc "cyan" lw .5 notitle, \
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for [φ = -90:90:30] [λ=-180:180:10] '+' using (x_W3(λ,φ)):(y_W3(λ,φ)) with lines lc "cyan" lw .5 notitle, \
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'world.dat' using (x_W3($1,$2)):(y_W3($1,$2)) with filledcurve fc "brown" title "fill", \
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'world.dat' using (x_W3($1,$2)):(y_W3($1,$2)) with lines lc "black" title "outline"
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pause -1 "<cr> to continue"
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# Hammer equal-area projection (Ernst Hammer 1892)
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# Note: mouse tracking does *not* report longitude, latitude
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set title "{/:Bold Hammer} equal-area map projection"
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x_Hammer(λ, φ) = (2*sqrt(2)*cos(φ)*sin(λ/2)) / sqrt(1.0 + cos(φ)*cos(λ/2))
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y_Hammer(λ, φ) = sqrt(2)*sin(φ) / sqrt(1.0 + cos(φ)*cos(λ/2))
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set xrange [-π : π]
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set yrange [-π/2 : π/2]
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plot for [λ=-180:180:10] [φ=-90:90] '+' using (x_Hammer(λ,φ)):(y_Hammer(λ,φ)) with lines lc "cyan" lw .5 notitle, \
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for [φ = -90:90:30] [λ=-180:180:10] '+' using (x_Hammer(λ,φ)):(y_Hammer(λ,φ)) with lines lc "cyan" lw .5 notitle, \
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'world.dat' using (x_Hammer($1,$2)):(y_Hammer($1,$2)) with filledcurve fc "brown" title "fill", \
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'world.dat' using (x_Hammer($1,$2)):(y_Hammer($1,$2)) with lines lc "black" title "outline"
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pause -1 "<cr> to continue"
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reset

‎demo/world.dat‎

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‎demo/world.dem‎

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reset
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unset key
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set border
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set xzeroaxis
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set yzeroaxis
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set xtics
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set ytics
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#
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# plot a '3D version using cylindrical coordinate system' of the world.
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set title "3D version using cylindrical coordinate system"
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set ticslevel 0.0
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set view 70,40,0.8,1.2
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set view equal xy
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set mapping cylindrical
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set isosamples 13
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set urange [-180:180]
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set vrange [-90:90]
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set zrange [-90:90]
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set xyplane at -110
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set ztics 30
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splot cos(u),sin(u),v with lines lc rgb "cyan" ,\
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'world.dat' with lines lc rgb "blue" lw 2, 'world.cor' with points lt 1 pt 2
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pause -1 "Hit return to continue"

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