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authorMatt A. Tobin <mattatobin@localhost.localdomain>2018-02-02 04:16:08 -0500
committerMatt A. Tobin <mattatobin@localhost.localdomain>2018-02-02 04:16:08 -0500
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Add m-esr52 at 52.6.0
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+/* -*- indent-tabs-mode: nil; js-indent-level: 2 -*- */
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+//-----------------------------------------------------------------------------
+var BUGNUMBER = 363040;
+var summary = 'Array.prototype.reduce application in continued fraction';
+var actual = '';
+var expect = '';
+
+
+//-----------------------------------------------------------------------------
+test();
+//-----------------------------------------------------------------------------
+
+function test()
+{
+ enterFunc ('test');
+ printBugNumber(BUGNUMBER);
+ printStatus (summary);
+
+
+// Print x as a continued fraction in compact abbreviated notation and return
+// the convergent [n, d] such that x - (n / d) <= epsilon.
+ function contfrac(x, epsilon) {
+ let i = Math.floor(x);
+ let a = [i];
+ x = x - i;
+ let maxerr = x;
+ while (maxerr > epsilon) {
+ x = 1 / x;
+ i = Math.floor(x);
+ a.push(i);
+ x = x - i;
+ maxerr = x * maxerr / i;
+ }
+ print(uneval(a));
+ return a.reduceRight(function (x, y) {return [x[0] * y + x[1], x[0]];}, [1, 0]);
+ }
+
+ if (!Array.prototype.reduceRight)
+ {
+ print('Test skipped. Array.prototype.reduceRight not implemented');
+ }
+ else
+ {
+// Show contfrac in action on some interesting numbers.
+ for each (num in [Math.PI, Math.sqrt(2), 1 / (Math.sqrt(Math.E) - 1)]) {
+ print('Continued fractions for', num);
+ for each (eps in [1e-2, 1e-3, 1e-5, 1e-7, 1e-10]) {
+ let frac = contfrac(num, eps);
+ let est = frac[0] / frac[1];
+ let err = num - est;
+ print(uneval(frac), est, err);
+ }
+ print();
+ }
+ }
+
+ reportCompare(expect, actual, summary);
+
+ exitFunc ('test');
+}