From 158e2aedaad434a77e6646f0d7b06eac21a2642d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philippe=20Rivi=C3=A8re?= Date: Thu, 27 Apr 2023 17:38:42 -0700 Subject: [PATCH 1/3] default geoCircle precision to 2 degrees MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Results in 180 control points instead of 60 (⨉3). The error is quadratic with the precision, with the worst case (for a parallel) being at latitude 45°. Under this new setting, the maximum error is now ~484m, vs. 4.365km with precision 6°. https://observablehq.com/@d3/geocircle-error --- src/circle.js | 2 +- test/circle-test.js | 4 ++-- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/src/circle.js b/src/circle.js index 85a0af9..2b86270 100644 --- a/src/circle.js +++ b/src/circle.js @@ -34,7 +34,7 @@ function circleRadius(cosRadius, point) { export default function() { var center = constant([0, 0]), radius = constant(90), - precision = constant(6), + precision = constant(2), ring, rotate, stream = {point: point}; diff --git a/test/circle-test.js b/test/circle-test.js index af3bd20..dc52584 100644 --- a/test/circle-test.js +++ b/test/circle-test.js @@ -6,13 +6,13 @@ import {assertInDelta} from "./asserts.js"; it("circle generates a Polygon", () => { const o = geoCircle()(); assert.strictEqual(o.type, "Polygon"); - assertInDelta(o.coordinates, [[[-78.69007,-90],[-90,-84],[-90,-78],[-90,-72],[-90,-66],[-90,-60],[-90,-54],[-90,-48],[-90,-42],[-90,-36],[-90,-30],[-90,-24],[-90,-18],[-90,-12],[-90,-6],[-90,0],[-90,6],[-90,12],[-90,18],[-90,24],[-90,30],[-90,36],[-90,42],[-90,48],[-90,54],[-90,60],[-90,66],[-90,72],[-90,78],[-90,84],[-89.59666,90],[90,84],[90,78],[90,72],[90,66],[90,60],[90,54],[90,48],[90,42],[90,36],[90,30],[90,24],[90,18],[90,12],[90,6],[90,0],[90,-6],[90,-12],[90,-18],[90,-24],[90,-30],[90,-36],[90,-42],[90,-48],[90,-54],[90,-60],[90,-66],[90,-72],[90,-78],[90,-84],[89.56977,-90]]], 1e-5); + assertInDelta(o.coordinates, [[[-78.69007,-90],[-90,-88],[-90,-86],[-90,-84],[-90,-82],[-90,-80],[-90,-78],[-90,-76],[-90,-74],[-90,-72],[-90,-70],[-90,-68],[-90,-66],[-90,-64],[-90,-62],[-90,-60],[-90,-58],[-90,-56],[-90,-54],[-90,-52],[-90,-50],[-90,-48],[-90,-46],[-90,-44],[-90,-42],[-90,-40],[-90,-38],[-90,-36],[-90,-34],[-90,-32],[-90,-30],[-90,-28],[-90,-26],[-90,-24],[-90,-22],[-90,-20],[-90,-18],[-90,-16],[-90,-14],[-90,-12],[-90,-10],[-90,-8],[-90,-6],[-90,-4],[-90,-2],[-90,0],[-90,2],[-90,4],[-90,6],[-90,8],[-90,10],[-90,12],[-90,14],[-90,16],[-90,18],[-90,20],[-90,22],[-90,24],[-90,26],[-90,28],[-90,30],[-90,32],[-90,34],[-90,36],[-90,38],[-90,40],[-90,42],[-90,44],[-90,46],[-90,48],[-90,50],[-90,52],[-90,54],[-90,56],[-90,58],[-90,60],[-90,62],[-90,64],[-90,66],[-90,68],[-90,70],[-90,72],[-90,74],[-90,76],[-90,78],[-90,80],[-90,82],[-90,84],[-90,86],[-90,88],[-89.900735,90],[90,88],[90,86],[90,84],[90,82],[90,80],[90,78],[90,76],[90,74],[90,72],[90,70],[90,68],[90,66],[90,64],[90,62],[90,60],[90,58],[90,56],[90,54],[90,52],[90,50],[90,48],[90,46],[90,44],[90,42],[90,40],[90,38],[90,36],[90,34],[90,32],[90,30],[90,28],[90,26],[90,24],[90,22],[90,20],[90,18],[90,16],[90,14],[90,12],[90,10],[90,8],[90,6],[90,4],[90,2],[90,0],[90,-2],[90,-4],[90,-6],[90,-8],[90,-10],[90,-12],[90,-14],[90,-16],[90,-18],[90,-20],[90,-22],[90,-24],[90,-26],[90,-28],[90,-30],[90,-32],[90,-34],[90,-36],[90,-38],[90,-40],[90,-42],[90,-44],[90,-46],[90,-48],[90,-50],[90,-52],[90,-54],[90,-56],[90,-58],[90,-60],[90,-62],[90,-64],[90,-66],[90,-68],[90,-70],[90,-72],[90,-74],[90,-76],[90,-78],[90,-80],[90,-82],[90,-84],[90,-86],[90,-88],[89.91209,-90]]], 1e-5); }); it("circle.center([0, 90])", () => { const o = geoCircle().center([0, 90])(); assert.strictEqual(o.type, "Polygon"); - assertInDelta(o.coordinates, [range(360, -1, -6).map(function(x) { return [x >= 180 ? x - 360 : x, 0]; })], 1e-6); + assertInDelta(o.coordinates, [range(360, -1, -2).map(function(x) { return [x >= 180 ? x - 360 : x, 0]; })], 1e-6); }); it("circle.center([45, 45])", () => { From c02a460f11592e7b27a77326dfe4efd4a5b33694 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philippe=20Rivi=C3=A8re?= Date: Fri, 28 Apr 2023 07:59:04 -0700 Subject: [PATCH 2/3] document --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 2ca67a0..32606c9 100644 --- a/README.md +++ b/README.md @@ -521,7 +521,7 @@ If *precision* is specified, sets the circle precision to the specified angle in ```js function precision() { - return 6; + return 2; } ``` From 32bc469a13e2ec93fa7571b5ef5895773fcf5e88 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Philippe=20Rivi=C3=A8re?= Date: Fri, 28 Apr 2023 14:22:22 -0700 Subject: [PATCH 3/3] refine clipCircle precision, from 6 degrees to 2 degrees following https://github.com/d3/d3-geo/pull/281 (note that for clipCircle the precision is not modifiable by the user) Manually rechecked each of the tests that are (slightly) modified as a consequence --- src/clip/circle.js | 2 +- test/projection/clipcircle-test.js | 2 +- test/projection/fit-test.js | 6 +++--- test/snapshots/angleorient30.png | Bin 42928 -> 43667 bytes test/snapshots/azimuthalEqualArea.png | Bin 83938 -> 83900 bytes test/snapshots/gnomonic.png | Bin 28303 -> 28491 bytes test/snapshots/orthographic.png | Bin 45637 -> 45635 bytes 7 files changed, 5 insertions(+), 5 deletions(-) diff --git a/src/clip/circle.js b/src/clip/circle.js index 30dcf44..de11999 100644 --- a/src/clip/circle.js +++ b/src/clip/circle.js @@ -6,7 +6,7 @@ import clip from "./index.js"; export default function(radius) { var cr = cos(radius), - delta = 6 * radians, + delta = 2 * radians, smallRadius = cr > 0, notHemisphere = abs(cr) > epsilon; // TODO optimise for this common case diff --git a/test/projection/clipcircle-test.js b/test/projection/clipcircle-test.js index 33dfcca..5c2b216 100644 --- a/test/projection/clipcircle-test.js +++ b/test/projection/clipcircle-test.js @@ -8,5 +8,5 @@ it("projection.clipAngle() deals with degenerate polygons", () => { coordinates: [ [[-120, -30],[0, -30],[0, -90],[0, -30],[120, -30],[-120, -30]] ] }; const projection = geoAzimuthalEqualArea().translate([0.5, 0.5]).rotate([0, -90, 0]).clipAngle(170); - assert.strictEqual(geoPath(projection)(polygon).replace(/\.\d+/g,""), 'M0,249L0,238L0,216L21,219L45,219L71,215L98,207L127,193L141,184L155,173L168,161L181,148L192,133L202,117L211,100L218,83L224,65L228,48L230,30L231,13L229,-17L222,-45L212,-70L200,-90L187,-107L179,-127L167,-147L151,-168L130,-188L104,-206L89,-213L73,-220L55,-225L37,-229L19,-232L0,-233L-18,-232L-36,-229L-54,-225L-72,-220L-88,-213L-103,-206L-129,-188L-150,-168L-166,-147L-178,-127L-186,-107L-186,-107L-199,-90L-211,-70L-221,-45L-228,-17L-230,13L-229,30L-227,48L-223,65L-217,83L-210,100L-201,117L-191,133L-180,148L-167,161L-154,173L-140,184L-126,193L-97,207L-70,215L-44,219L-20,219L0,216L0,238L0,249L0,249L-25,247L-51,243L-76,236L-100,227L-123,215L-145,201L-165,185L-184,166L-200,146L-214,124L-226,101L-235,77L-242,52L-246,26L-248,0L-246,-25L-242,-51L-235,-76L-226,-100L-214,-123L-200,-145L-184,-165L-165,-184L-145,-200L-123,-214L-100,-226L-76,-235L-51,-242L-25,-246L0,-248L26,-246L52,-242L77,-235L101,-226L124,-214L146,-200L166,-184L185,-165L201,-145L215,-123L227,-100L236,-76L243,-51L247,-25L249,0L247,26L243,52L236,77L227,101L215,124L201,146L185,166L166,185L146,201L124,215L101,227L77,236L52,243L26,247Z'); + assert.strictEqual(geoPath(projection)(polygon).replace(/\.\d+/g,""), 'M0,249L0,238L0,216L21,219L45,219L71,215L98,207L127,193L141,184L155,173L168,161L181,148L192,133L202,117L211,100L218,83L224,65L228,48L230,30L231,13L229,-17L222,-45L212,-70L200,-90L187,-107L179,-127L167,-147L151,-168L130,-188L104,-206L89,-213L73,-220L55,-225L37,-229L19,-232L0,-233L-18,-232L-36,-229L-54,-225L-72,-220L-88,-213L-103,-206L-129,-188L-150,-168L-166,-147L-178,-127L-186,-107L-186,-107L-199,-90L-211,-70L-221,-45L-228,-17L-230,13L-229,30L-227,48L-223,65L-217,83L-210,100L-201,117L-191,133L-180,148L-167,161L-154,173L-140,184L-126,193L-97,207L-70,215L-44,219L-20,219L0,216L0,238L0,249L0,249L-8,248L-16,248L-25,247L-34,246L-42,245L-51,243L-59,241L-68,239L-76,236L-84,234L-92,230L-100,227L-108,223L-116,219L-123,215L-131,211L-138,206L-145,201L-152,196L-159,190L-165,185L-172,179L-178,173L-184,166L-189,160L-195,153L-200,146L-205,139L-210,132L-214,124L-218,117L-222,109L-226,101L-229,93L-233,85L-235,77L-238,69L-240,60L-242,52L-244,43L-245,35L-246,26L-247,17L-247,9L-248,0L-247,-8L-247,-16L-246,-25L-245,-34L-244,-42L-242,-51L-240,-59L-238,-68L-235,-76L-233,-84L-229,-92L-226,-100L-222,-108L-218,-116L-214,-123L-210,-131L-205,-138L-200,-145L-195,-152L-189,-159L-184,-165L-178,-172L-172,-178L-165,-184L-159,-189L-152,-195L-145,-200L-138,-205L-131,-210L-123,-214L-116,-218L-108,-222L-100,-226L-92,-229L-84,-233L-76,-235L-68,-238L-59,-240L-51,-242L-42,-244L-34,-245L-25,-246L-16,-247L-8,-247L0,-248L9,-247L17,-247L26,-246L35,-245L43,-244L52,-242L60,-240L69,-238L77,-235L85,-233L93,-229L101,-226L109,-222L117,-218L124,-214L132,-210L139,-205L146,-200L153,-195L160,-189L166,-184L173,-178L179,-172L185,-165L190,-159L196,-152L201,-145L206,-138L211,-131L215,-123L219,-116L223,-108L227,-100L230,-92L234,-84L236,-76L239,-68L241,-59L243,-51L245,-42L246,-34L247,-25L248,-16L248,-8L249,0L248,9L248,17L247,26L246,35L245,43L243,52L241,60L239,69L236,77L234,85L230,93L227,101L223,109L219,117L215,124L211,132L206,139L201,146L196,153L190,160L185,166L179,173L173,179L166,185L160,190L153,196L146,201L139,206L132,211L124,215L117,219L109,223L101,227L93,230L85,234L77,236L69,239L60,241L52,243L43,245L35,246L26,247L17,248L9,248Z'); }); diff --git a/test/projection/fit-test.js b/test/projection/fit-test.js index 4e62a7c..402af19 100644 --- a/test/projection/fit-test.js +++ b/test/projection/fit-test.js @@ -40,8 +40,8 @@ it("projection.fitExtent(…) world azimuthalEquidistant", () => { it("projection.fitExtent(…) world conicConformal", () => { const projection = geoConicConformal().clipAngle(30).parallels([30, 60]).rotate([0, -45]); projection.fitExtent([[50, 50], [950, 950]], world); - assertInDelta(projection.scale(), 626.111027, 1e-6); - assertInDelta(projection.translate(), [444.395951, 410.223799], 1e-6); + assertInDelta(projection.scale(), 625.567161, 1e-6); + assertInDelta(projection.translate(), [444.206209, 409.910893], 1e-6); }); it("projection.fitExtent(…) world conicEqualArea", () => { @@ -69,7 +69,7 @@ it("projection.fitExtent(…) world gnomonic", () => { const projection = geoGnomonic().clipAngle(45); projection.fitExtent([[50, 50], [950, 950]], world); assertInDelta(projection.scale(), 450.348233, 1e-6); - assertInDelta(projection.translate(), [500.115138, 556.522620], 1e-6); + assertInDelta(projection.translate(), [500.115138, 556.551304], 1e-6); }); it("projection.fitExtent(…) world mercator", () => { diff --git a/test/snapshots/angleorient30.png b/test/snapshots/angleorient30.png index 4f76de55cc5fdb44c94b3c5b3feb376b5f4264a7..6443dde59a37de56a249b7bdd06bf0dd03ecd04e 100644 GIT binary patch literal 43667 zcmXV2V|ZO%({9X@qzxOZv2EKQ*#>$`Sf#9B{e;t=O zWcBrm$JX{MO3;s98crE&_^(yIk!ns-A|hBjsm;q=0Dw;*A_Hu65i?r{cfG)xIe`nK zvv?!mDm_bY2-CaU`#?kc(i*};zUO?5zJG+uMr#Q1L3?iRga;IOueNR&Ss^xyfBlAR zg0te3#jPh9%j*GS*ozP!yaV6v@-I8Ci%JUDF9&r2%x3wo_waADBn~{>me1+jV(c0Z zLm=%dzgA%DbLENY#2*R?S$8&_>N8tE{nru$)cJ3(b`VUWrTgiEzud@M&9F@hN3H#^ zp@OLxw3ID>_GEZY*{VL=$(;Ef+;)is4LaDcnh0SL~G6l$7yKmR$c zP%YQgnaDh1dJhk>ZUBv~0vLITwx4X?TRE!DN?YT7y&f8g!!kWyOJ3f2kZOaMhT$F* zKX5r*Tzcu8_dD!Ug?rEQLA&x%ESuo#<=_gtxX;t~0kBxIk#jIO*^vVd-jVm|;^@gT zjnr=#mR^hLCu;d;Kd+1T(0+g-zd5-Yci(Hzong1^qI-;7BqZafqZnGTTe*kL_GfPV 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