From 3908825db8805fa1a6d958e01a5577de4aa3b288 Mon Sep 17 00:00:00 2001 From: Ryan Oldenburg Date: Fri, 15 Jan 2021 20:22:51 -0600 Subject: [PATCH] cubic curve compute (#50) * cubic curve compute * curve -> segments with error budget * dynamic precision on curves --- src/pixie/paths.nim | 48 +++++++++++++++---------- tests/images/svg/Ghostscript_Tiger.png | Bin 355909 -> 355363 bytes tests/images/svg/circle01.png | Bin 13660 -> 13547 bytes tests/images/svg/ellipse01.png | Bin 24509 -> 24301 bytes tests/images/svg/quad01.png | Bin 33933 -> 33969 bytes 5 files changed, 30 insertions(+), 18 deletions(-) diff --git a/src/pixie/paths.nim b/src/pixie/paths.nim index 331dd95..38a91bf 100644 --- a/src/pixie/paths.nim +++ b/src/pixie/paths.nim @@ -296,22 +296,34 @@ proc commandsToPolygons*(commands: seq[PathCommand]): seq[seq[Vec2]] = polygon.add(at) polygon.add(to) - proc getCurvePoint(points: seq[Vec2], t: float32): Vec2 = - if points.len == 1: - return points[0] - else: - var newPoints = newSeq[Vec2](points.len - 1) - for i in 0 ..< newPoints.len: - newPoints[i] = points[i] * (1-t) + points[i + 1] * t - return getCurvePoint(newPoints, t) + proc drawCurve(at, ctrl1, ctrl2, to: Vec2) = - proc drawCurve(points: seq[Vec2]) = - let n = 10 - var a = at - for t in 1..n: - var b = getCurvePoint(points, float32(t) / float32(n)) - drawLine(a, b) - a = b + proc compute(at, ctrl1, ctrl2, to: Vec2, t: float32): Vec2 {.inline.} = + pow(1 - t, 3) * at + + 3 * pow(1 - t, 2) * t * ctrl1 + + 3 * (1 - t) * pow(t, 2) * ctrl2 + + pow(t, 3) * to + + var prev = at + + proc discretize(i, steps: int) = + let + tPrev = (i - 1).float32 / steps.float32 + t = i.float32 / steps.float32 + next = compute(at, ctrl1, ctrl2, to, t) + halfway = compute(at, ctrl1, ctrl2, to, tPrev + (t - tPrev) / 2) + error = ((prev + next) / 2 - halfway).length + + if error >= 0.25: + # Error too large, double precision for this step + discretize(i * 2 - 1, steps * 2) + discretize(i * 2, steps * 2) + else: + drawLine(prev, next) + prev = next + + for i in 1 .. 2: + discretize(i, 2) proc drawQuad(p0, p1, p2: Vec2) = let devx = p0.x - 2.0 * p1.x + p2.x @@ -393,7 +405,7 @@ proc commandsToPolygons*(commands: seq[PathCommand]): seq[seq[Vec2]] = ctr2.y = command.numbers[3] to.x = command.numbers[4] to.y = command.numbers[5] - drawCurve(@[at, ctr, ctr2, to]) + drawCurve(at, ctr, ctr2, to) at = to of Arc: @@ -486,7 +498,7 @@ proc commandsToPolygons*(commands: seq[PathCommand]): seq[seq[Vec2]] = ctr2.y = at.y + command.numbers[3] to.x = at.x + command.numbers[4] to.y = at.y + command.numbers[5] - drawCurve(@[at, ctr, ctr2, to]) + drawCurve(at, ctr, ctr2, to) at = to of RSCubic: @@ -496,7 +508,7 @@ proc commandsToPolygons*(commands: seq[PathCommand]): seq[seq[Vec2]] = ctr2.y = at.y + command.numbers[1] to.x = at.x + command.numbers[2] to.y = at.y + command.numbers[3] - drawCurve(@[at, ctr, ctr2, to]) + drawCurve(at, ctr, ctr2, to) at = to else: diff --git a/tests/images/svg/Ghostscript_Tiger.png 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