Created
February 28, 2014 02:55
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Gist function for easing.
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class BezierPolynomial { | |
static _BezierGen generator = new _BezierGen(); | |
static List<num> getTTerms(List<num> pTerms) { | |
var i = pTerms.length + 1; | |
var matrix = generator[i]; | |
List<num> results = new List(); | |
num linTerm = pTerms[0] - pTerms[0]; | |
for (var j = 0; j < i - 1; j++) { //Get the nth term | |
num tTerm = pTerms[0] - pTerms[0]; | |
for (var k = i; k > j && k > 1; k--) { | |
tTerm += matrix[j][k-1]*pTerms[i-k]; | |
} | |
if (j==0) | |
tTerm += matrix[j][0]; | |
linTerm -= tTerm; | |
results.add(tTerm); | |
} | |
results.add(linTerm + 1); | |
return results; | |
} | |
} | |
class _BezierGen { | |
final List<List<List<int>>> _generators = new List(); | |
_BezierGen() { | |
_generators.add([[1]]); | |
} | |
void addMatrix () { | |
var i = _generators.length; | |
List<List<int>> rows = new List(); | |
List<int> currentRow = _generators[i-1][0]; | |
List<int> previousRow = | |
new List.from(currentRow.map((_) => 0), growable: false); | |
for (var j = 0; j < i; j++) { | |
currentRow = _generators[i-1][j]; | |
List<int> row = new List(); | |
row.add(currentRow[0]); | |
for (var k=1; k < i; k++) { | |
row.add(previousRow[k-1] + currentRow[k] - currentRow[k-1]); | |
} | |
row.add(previousRow[i-1] - currentRow[i-1]); | |
rows.add(row); | |
previousRow = currentRow; | |
} | |
List<int> row = new List(); | |
row.add(0); | |
for (var k=1; k <= i; k++) { | |
row.add(previousRow[k-1]); | |
} | |
rows.add(row); | |
_generators.add(rows); | |
} | |
List<List<int>> operator [](int index) { | |
var length = _generators.length; | |
if (index < length) return _generators[index]; | |
for (var i = length;i <= index;i++) | |
addMatrix(); | |
return _generators[index]; | |
} | |
} |
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