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node_modules/tstl/numeric/special_math/expint.js

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+"use strict";
+Object.defineProperty(exports, "__esModule", { value: true });
+exports.expint = void 0;
+//================================================================
+/**
+ * @packageDocumentation
+ * @module std
+ */
+//================================================================
+var MathUtil_1 = require("../../internal/numeric/MathUtil");
+/**
+ * Exponential integral.
+ */
+function expint(x) {
+    if (x === 0)
+        return -Infinity;
+    else if (x < 0)
+        return -_E1_G(-x);
+    else
+        return _EI_Factorial(x);
+}
+exports.expint = expint;
+function _EI_Factorial(x) {
+    return (EULER +
+        Math.log(Math.abs(x)) / Math.log(Math.E) +
+        MathUtil_1.MathUtil.sigma(function (k) {
+            return Math.pow(x, k) / (k * MathUtil_1.MathUtil.factorial(k));
+        }, 1, MAX_K));
+}
+/* ---------------------------------------------------------------
+    SWAMEE AND OHIJA APPROXIMATION
+--------------------------------------------------------------- */
+// function _E1_AB(x: number): number
+// {
+//     const A: number = _Compute_A(x);
+//     const B: number = _Compute_B(x);
+//     const ret: number = Math.pow(A, -7.7) + B;
+//     return Math.pow(ret, -0.13);
+// }
+// function _Compute_A(x: number): number
+// {
+//     const ret: number = 0.56146 / x + 0.65;
+//     ret *= 1 + x;
+//     ret = Math.log(ret) / Math.log(Math.E);
+//     return ret;
+// }
+// function _Compute_B(x: number): number
+// {
+//     const ret: number = Math.pow(x, 4);
+//     ret *= Math.pow(Math.E, 7.7*x);
+//     ret *= Math.pow(2 + x, 3.7);
+//     return ret;
+// }
+/* ---------------------------------------------------------------
+    BARRY APPROXIMATION
+--------------------------------------------------------------- */
+function _E1_G(x) {
+    var h = _Compute_h(x);
+    var ret = G + (1 - G) * Math.pow(Math.E, -x / (1 - G));
+    ret = Math.pow(Math.E, -x) / ret;
+    var ln = 1 + G / x - (1 - G) / Math.pow(h + B * x, 2);
+    ln = Math.log(ln) / Math.log(Math.E);
+    return ret * ln;
+}
+function _Compute_h(x) {
+    var q = _Compute_q(x);
+    var left = 1 / (1 + Math.pow(x, 1.5));
+    var right = (H_INF * q) / (1 + q);
+    return left + right;
+}
+function _Compute_q(x) {
+    return (20 / 47) * Math.pow(x, Math.sqrt(31 / 26));
+}
+var EULER = 0.5772156649015328606;
+var MAX_K = 150;
+var G = Math.pow(Math.E, -EULER);
+var B = Math.sqrt((2 * (1 - G)) / (G * (2 - G)));
+var H_INF = ((1 - G) * (G * G - 6 * G + 12)) / (3 * G * Math.pow(2 - G, 2) * B);
+//# sourceMappingURL=expint.js.map