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Update the Machine Epsilon parameter.

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Used in numerical routines.
This commit is contained in:
hkrish 2014-05-05 18:40:56 +02:00
parent 0168e41be0
commit 6662209e15
1 changed files with 5 additions and 4 deletions
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9
src/util/Numerical.js
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@ -65,7 +65,7 @@ var Numerical = new function() {
isFinite = Number.isFinite,
TOLERANCE = 10e-6,
EPSILON = 1e-14,
MACHINE_EPSILON = 2.220446049250313e-16;
MACHINE_EPSILON = 1.12e-16;
// Sets up min and max values for roots and returns a add() function that
// handles bounds checks and itself returns the amount of added roots.
@ -103,9 +103,10 @@ var Numerical = new function() {
* Here the constant MACHINE_EPSILON refers to the constants 'δ' and 'ε'
* such that, the error introduced by addition, multiplication
* on a 64bit float (js Number) will be less than δ and ε. That is to
* say, for all X and Y representable by a js Number object, S, D, and P
* be their 'exact' sum, difference, and product respectively, then
* |s - (x+y)| <= δ|s|, and |s - (x*y)| <= ε|s|
* say, for all X and Y representable by a js Number object, S and P
* be their 'exact' sum and product respectively, then
* |S - (x+y)| <= δ|S|, and |P - (x*y)| <= ε|P|.
* This amounts to about half of the actual MACHINE_EPSILON
*/
MACHINE_EPSILON: MACHINE_EPSILON,
// Kappa, see: http://www.whizkidtech.redprince.net/bezier/circle/kappa/