From: Lady <redacted>
Date: Tue, 20 Sep 2022 03:39:11 +0000 (-0700)
Subject: Add to⸺Notation functions to numeric.js
X-Git-Tag: 0.3.0~9
X-Git-Url: https://git.ladys.computer/Pisces/commitdiff_plain/cb5a5ceca492121141a12d921afc78dbde7fbfa1

Add to⸺Notation functions to numeric.js

The default Number::toString method provides a result which is
difficult to parse. Number::toExponential and Number::toFixed are
better; they are now provided via toExponentialNotation and
toFixedDecimalNotation. Support for big·ints has been added as well.
---

diff --git a/numeric.js b/numeric.js
index f16308d..4a066f7 100644
--- a/numeric.js
+++ b/numeric.js
@@ -7,6 +7,14 @@
 // License, v. 2.0. If a copy of the MPL was not distributed with this
 // file, You can obtain one at <https://mozilla.org/MPL/2.0/>.
 
+import { call } from "./function.js";
+import {
+  stringCatenate,
+  stringPadEnd,
+  stringRepeat,
+  substring,
+  toString,
+} from "./string.js";
 import { sameValue, toPrimitive } from "./value.js";
 
 export const {
@@ -584,6 +592,93 @@ export const { toBigInt } = (() => {
   return { toBigInt: ($) => makeBigInt($) };
 })();
 
+export const {
+  /**
+   * Returns the result of converting the provided value to an
+   * exponential notation string.
+   *
+   * If a second argument is provided, it gives the number of
+   * fractional digits to use in the mantissa. Otherwise, the smallest
+   * number which does not result in a reduction in precision is used.
+   *
+   * ※ This method is safe to use with big·ints.
+   */
+  toExponentialNotation,
+
+  /**
+   * Returns the result of converting the provided value to a fixed
+   * decimal notation string with the provided number of fractional
+   * digits.
+   *
+   * ※ This method is safe to use with big·ints.
+   */
+  toFixedDecimalNotation,
+} = (() => {
+  const {
+    toExponential: numberToExponential,
+    toFixed: numberToFixed,
+  } = Number.prototype;
+  const { toString: bigintToString } = BigInt.prototype;
+  return {
+    toExponentialNotation: ($, fractionDigits) => {
+      const n = toNumeric($);
+      const f = toIntegralNumberOrInfinity(fractionDigits);
+      if (!isFiniteNumber(f) || f < 0 || f > 100) {
+        throw new RangeError(
+          `Piscēs: The number of fractional digits must be a finite number between 0 and 100 inclusive; got: ${f}.`,
+        );
+      } else {
+        if (typeof n === "number") {
+          return call(
+            numberToExponential,
+            n,
+            [fractionDigits === undefined ? fractionDigits : f],
+          );
+        } else {
+          const digits = call(bigintToString, n, [10]);
+          const { length } = digits;
+          if (fractionDigits === undefined) {
+            return length === 1
+              ? `${digits[0]}e+0`
+              : `${digits[0]}.${substring(digits, 1)}e+${length - 1}`;
+          } else if (f === 0) {
+            return `${digits[0]}e+0`;
+          } else {
+            const fractionalPart = toString(
+              round(
+                +stringCatenate(
+                  stringPadEnd(substring(digits, 1, f + 1), f, "0"),
+                  ".",
+                  digits[f + 1] || "0",
+                ),
+              ),
+            );
+            return `${digits[0]}.${fractionalPart}e+${length - 1}`;
+          }
+        }
+      }
+    },
+    toFixedDecimalNotation: ($, fractionDigits) => {
+      const f = toIntegralNumberOrInfinity(fractionDigits);
+      if (!isFiniteNumber(f) || f < 0 || f > 100) {
+        throw new RangeError(
+          `Piscēs: The number of fractional digits must be a finite number between 0 and 100 inclusive; got: ${f}.`,
+        );
+      } else {
+        const n = toNumeric($);
+        if (typeof n === "number") {
+          return call(numberToFixed, n, [f]);
+        } else {
+          const digits = call(bigintToString, n, [10]);
+          return f === 0
+            ? digits
+            : `${digits}.${stringRepeat("0", f)}`;
+        }
+      }
+    },
+  };
+})();
+
 export const {
   /**
    * Returns the result of converting the provided value to fit within
@@ -687,7 +782,7 @@ export const toIntegralNumberOrInfinity = ($) => {
 /**
  * Returns the result of converting the provided value to a number.
  *
- * ※ This method is safe to use with big·ints.
+ * ※ This function is safe to use with big·ints.
  *
  * ※ This is effectively a nonconstructible version of the Number
  * constructor.
diff --git a/numeric.test.js b/numeric.test.js
index 23dbd89..27776cd 100644
--- a/numeric.test.js
+++ b/numeric.test.js
@@ -23,6 +23,8 @@ import {
   POSITIVE_ZERO,
   sgn,
   toBigInt,
+  toExponentialNotation,
+  toFixedDecimalNotation,
   toFloat32,
   toIntegralNumber,
   toIntegralNumberOrInfinity,
@@ -141,6 +143,53 @@ describe("toBigInt", () => {
   });
 });
 
+describe("toExponentialNotation", () => {
+  it("[[Call]] converts to exponential notation", () => {
+    assertStrictEquals(toExponentialNotation(231), "2.31e+2");
+  });
+
+  it("[[Call]] works with big·ints", () => {
+    assertStrictEquals(
+      toExponentialNotation(9007199254740993n),
+      "9.007199254740993e+15",
+    );
+  });
+
+  it("[[Call]] respects the specified number of fractional digits", () => {
+    assertStrictEquals(
+      toExponentialNotation(.00000000642, 3),
+      "6.420e-9",
+    );
+    assertStrictEquals(toExponentialNotation(.00691, 1), "6.9e-3");
+    assertStrictEquals(toExponentialNotation(.00685, 1), "6.9e-3");
+    assertStrictEquals(toExponentialNotation(.004199, 2), "4.20e-3");
+    assertStrictEquals(
+      toExponentialNotation(6420000000n, 3),
+      "6.420e+9",
+    );
+    assertStrictEquals(toExponentialNotation(6910n, 1), "6.9e+3");
+    assertStrictEquals(toExponentialNotation(6850n, 1), "6.9e+3");
+    assertStrictEquals(toExponentialNotation(4199n, 2), "4.20e+3");
+  });
+});
+
+describe("toFixedDecimalNotation", () => {
+  it("[[Call]] converts to fixed decimal notation", () => {
+    assertStrictEquals(toFixedDecimalNotation(69.4199, 3), "69.420");
+  });
+
+  it("[[Call]] works with big·ints", () => {
+    assertStrictEquals(
+      toFixedDecimalNotation(9007199254740993n),
+      "9007199254740993",
+    );
+    assertStrictEquals(
+      toFixedDecimalNotation(9007199254740993n, 2),
+      "9007199254740993.00",
+    );
+  });
+});
+
 describe("toFloat32", () => {
   it("[[Call]] returns the 32‐bit floating‐point representation", () => {
     assertStrictEquals(