/** * Abstract base class of interpolants over parametric samples. * * The parameter domain is one dimensional, typically the time or a path * along a curve defined by the data. * * The sample values can have any dimensionality and derived classes may * apply special interpretations to the data. * * This class provides the interval seek in a Template Method, deferring * the actual interpolation to derived classes. * * Time complexity is O(1) for linear access crossing at most two points * and O(log N) for random access, where N is the number of positions. * * References: * * http://www.oodesign.com/template-method-pattern.html * * @author tschw */ function Interpolant( parameterPositions, sampleValues, sampleSize, resultBuffer ) { this.parameterPositions = parameterPositions; this._cachedIndex = 0; this.resultBuffer = resultBuffer !== undefined ? resultBuffer : new sampleValues.constructor( sampleSize ); this.sampleValues = sampleValues; this.valueSize = sampleSize; } Object.assign( Interpolant.prototype, { evaluate: function ( t ) { var pp = this.parameterPositions, i1 = this._cachedIndex, t1 = pp[ i1 ], t0 = pp[ i1 - 1 ]; validate_interval: { seek: { var right; linear_scan: { //- See http://jsperf.com/comparison-to-undefined/3 //- slower code: //- //- if ( t >= t1 || t1 === undefined ) { forward_scan: if ( ! ( t < t1 ) ) { for ( var giveUpAt = i1 + 2; ; ) { if ( t1 === undefined ) { if ( t < t0 ) break forward_scan; // after end i1 = pp.length; this._cachedIndex = i1; return this.afterEnd_( i1 - 1, t, t0 ); } if ( i1 === giveUpAt ) break; // this loop t0 = t1; t1 = pp[ ++ i1 ]; if ( t < t1 ) { // we have arrived at the sought interval break seek; } } // prepare binary search on the right side of the index right = pp.length; break linear_scan; } //- slower code: //- if ( t < t0 || t0 === undefined ) { if ( ! ( t >= t0 ) ) { // looping? var t1global = pp[ 1 ]; if ( t < t1global ) { i1 = 2; // + 1, using the scan for the details t0 = t1global; } // linear reverse scan for ( var giveUpAt = i1 - 2; ; ) { if ( t0 === undefined ) { // before start this._cachedIndex = 0; return this.beforeStart_( 0, t, t1 ); } if ( i1 === giveUpAt ) break; // this loop t1 = t0; t0 = pp[ -- i1 - 1 ]; if ( t >= t0 ) { // we have arrived at the sought interval break seek; } } // prepare binary search on the left side of the index right = i1; i1 = 0; break linear_scan; } // the interval is valid break validate_interval; } // linear scan // binary search while ( i1 < right ) { var mid = ( i1 + right ) >>> 1; if ( t < pp[ mid ] ) { right = mid; } else { i1 = mid + 1; } } t1 = pp[ i1 ]; t0 = pp[ i1 - 1 ]; // check boundary cases, again if ( t0 === undefined ) { this._cachedIndex = 0; return this.beforeStart_( 0, t, t1 ); } if ( t1 === undefined ) { i1 = pp.length; this._cachedIndex = i1; return this.afterEnd_( i1 - 1, t0, t ); } } // seek this._cachedIndex = i1; this.intervalChanged_( i1, t0, t1 ); } // validate_interval return this.interpolate_( i1, t0, t, t1 ); }, settings: null, // optional, subclass-specific settings structure // Note: The indirection allows central control of many interpolants. // --- Protected interface DefaultSettings_: {}, getSettings_: function () { return this.settings || this.DefaultSettings_; }, copySampleValue_: function ( index ) { // copies a sample value to the result buffer var result = this.resultBuffer, values = this.sampleValues, stride = this.valueSize, offset = index * stride; for ( var i = 0; i !== stride; ++ i ) { result[ i ] = values[ offset + i ]; } return result; }, // Template methods for derived classes: interpolate_: function ( /* i1, t0, t, t1 */ ) { throw new Error( 'call to abstract method' ); // implementations shall return this.resultBuffer }, intervalChanged_: function ( /* i1, t0, t1 */ ) { // empty } } ); //!\ DECLARE ALIAS AFTER assign prototype ! Object.assign( Interpolant.prototype, { //( 0, t, t0 ), returns this.resultBuffer beforeStart_: Interpolant.prototype.copySampleValue_, //( N-1, tN-1, t ), returns this.resultBuffer afterEnd_: Interpolant.prototype.copySampleValue_, } ); export { Interpolant };