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Reduce curve-time epsilon, and improve comments about other epsilon values.

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Jürg Lehni 2015-10-22 10:34:49 +02:00
parent bafb6794a6
commit 85f7134fe6
1 changed files with 14 additions and 10 deletions
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24
src/util/Numerical.js
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@ -69,15 +69,14 @@ var Numerical = new function() {
return /** @lends Numerical */{
TOLERANCE: 1e-6,
// Precision when comparing against 0
// References:
// http://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html
// http://www.cs.berkeley.edu/~wkahan/Math128/Cubic.pdf
/**
* A very small absolute value used to check if a value is very close to
* zero. The value should be large enough to offset any floating point
* noise, but small enough to be meaningful in computation in a nominal
* range (see MACHINE_EPSILON).
*
* http://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html
* http://www.cs.berkeley.edu/~wkahan/Math128/Cubic.pdf
*/
EPSILON: EPSILON,
/**
@ -96,16 +95,15 @@ var Numerical = new function() {
MACHINE_EPSILON: MACHINE_EPSILON,
/**
* The epsilon to be used when handling curve-time parameters. This
* cannot be smaller, because errors add up to around 8e-7 in the bezier
* cannot be smaller, because errors add up to around 2e-7 in the bezier
* fat-line clipping code as a result of recursive sub-division.
*/
CURVETIME_EPSILON: 4e-7, // NOTE: 2e-7 doesn't work in some edge-cases!
/**
* The epsilon to be used when performing "geometric" checks, such as
* point distances and examining cross products to check for
* collinearity.
* distances between points and lines.
*/
GEOMETRIC_EPSILON: 4e-7, // NOTE: 2e-7 doesn't work in some edge-cases!
GEOMETRIC_EPSILON: 2e-7,
/**
* The epsilon to be used when performing winding contribution checks.
*/
@ -116,10 +114,16 @@ var Numerical = new function() {
*/
TRIGONOMETRIC_EPSILON: 1e-7,
/**
* The epsilon to be used in the fatline clipping code.
* The epsilon to be used in the fat-line clipping code.
*/
CLIPPING_EPSILON: 1e-7,
// Kappa, see: http://www.whizkidtech.redprince.net/bezier/circle/kappa/
/**
* Kappa is the value which which to scale the curve handles when
* drawing a circle with bezier curves.
*
* http://whizkidtech.redprince.net/bezier/circle/
* http://www.whizkidtech.redprince.net/bezier/circle/kappa/
*/
KAPPA: 4 * (sqrt(2) - 1) / 3,
/**