X-Git-Url: https://git.ladys.computer/Pisces/blobdiff_plain/58d78d7c0602b17a9599e28232cc8a2ff1d8fc65..HEAD:/numeric.js

diff --git a/numeric.js b/numeric.js
index 5a3d6ea..079e56e 100644
--- a/numeric.js
+++ b/numeric.js
@@ -7,7 +7,8 @@
 // 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 { call, createArrowFunction } from "./function.js";
+import { defineOwnDataProperty } from "./object.js";
 import {
   stringCatenate,
   stringPadEnd,
@@ -15,381 +16,14 @@ import {
   substring,
   toString,
 } from "./string.js";
-import { sameValue, toPrimitive } from "./value.js";
-
-export const {
-  /**
-   * ln(10).
-   *
-   * ※ This is an alias for `Math.LN10`.
-   */
-  LN10,
-
-  /**
-   * ln(2).
-   *
-   * ※ This is an alias for `Math.LN2`.
-   */
-  LN2,
-
-  /**
-   * log10(ℇ).
-   *
-   * ※ This is an alias for `Math.LOG10E`.
-   */
-  LOG10E: LOG10ℇ,
-
-  /**
-   * log2(ℇ).
-   *
-   * ※ This is an alias for `Math.LOG2E`.
-   */
-  LOG2E: LOG2ℇ,
-
-  /**
-   * sqrt(½).
-   *
-   * ※ This is an alias for `Math.SQRT1_2`.
-   */
-  SQRT1_2: RECIPROCAL_SQRT2,
-
-  /**
-   * sqrt(2).
-   *
-   * ※ This is an alias for `Math.SQRT2`.
-   */
-  SQRT2,
-
-  /**
-   * Returns the arccos of the provided value.
-   *
-   * ※ This is an alias for `Math.acos`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  acos: arccos,
-
-  /**
-   * Returns the arccosh of the provided value.
-   *
-   * ※ This is an alias for `Math.acosh`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  acosh: arccosh,
-
-  /**
-   * Returns the arcsin of the provided value.
-   *
-   * ※ This is an alias for `Math.asin`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  asin: arcsin,
-
-  /**
-   * Returns the arcsinh of the provided value.
-   *
-   * ※ This is an alias for `Math.asinh`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  asinh: arcsinh,
-
-  /**
-   * Returns the arctan of the provided value.
-   *
-   * ※ This is an alias for `Math.atan`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  atan: arctan,
-
-  /**
-   * Returns the arctanh of the provided value.
-   *
-   * ※ This is an alias for `Math.atanh`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  atanh: arctanh,
-
-  /**
-   * Returns the cube root of the provided value.
-   *
-   * ※ This is an alias for `Math.cbrt`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  cbrt,
-
-  /**
-   * Returns the ceiling of the provided value.
-   *
-   * ※ This is an alias for `Math.ceil`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  ceil,
-
-  /**
-   * Returns the cos of the provided value.
-   *
-   * ※ This is an alias for `Math.cos`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  cos,
-
-  /**
-   * Returns the cosh of the provided value.
-   *
-   * ※ This is an alias for `Math.cosh`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  cosh,
-
-  /**
-   * Returns the Euler number raised to the provided value.
-   *
-   * ※ This is an alias for `Math.exp`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  exp,
-
-  /**
-   * Returns the Euler number raised to the provided value, minus one.
-   *
-   * ※ This is an alias for `Math.expm1`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  expm1,
-
-  /**
-   * Returns the floor of the provided value.
-   *
-   * ※ This is an alias for `Math.floor`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  floor,
-
-  /**
-   * Returns the square root of the sum of the squares of the provided
-   * arguments.
-   *
-   * ※ This is an alias for `Math.hypot`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  hypot,
-
-  /**
-   * Returns the ln of the provided value.
-   *
-   * ※ This is an alias for `Math.log`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  log: ln,
-
-  /**
-   * Returns the log10 of the provided value.
-   *
-   * ※ This is an alias for `Math.log10`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  log10,
-
-  /**
-   * Returns the ln of one plus the provided value.
-   *
-   * ※ This is an alias for `Math.log1p`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  log1p: ln1p,
-
-  /**
-   * Returns the log2 of the provided value.
-   *
-   * ※ This is an alias for `Math.log2`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  log2,
-
-  /**
-   * Returns a pseudo·random value in the range [0, 1).
-   *
-   * ※ This is an alias for `Math.random`.
-   */
-  random: rand,
-
-  /**
-   * Returns the round of the provided value.
-   *
-   * ※ This is an alias for `Math.round`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  round,
-
-  /**
-   * Returns the sinh of the provided value.
-   *
-   * ※ This is an alias for `Math.sinh`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  sinh,
-
-  /**
-   * Returns the square root of the provided value.
-   *
-   * ※ This is an alias for `Math.sqrt`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  sqrt,
-
-  /**
-   * Returns the tan of the provided value.
-   *
-   * ※ This is an alias for `Math.tan`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  tan,
-
-  /**
-   * Returns the tanh of the provided value.
-   *
-   * ※ This is an alias for `Math.tanh`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  tanh,
-
-  /**
-   * Returns the trunc of the provided value.
-   *
-   * ※ This is an alias for `Math.trunc`.
-   *
-   * ☡ This function does not allow big·int arguments.
-   */
-  trunc,
-
-  /**
-   * The mathematical constant π.
-   *
-   * ※ This is an alias for `Math.PI`.
-   */
-  PI: Π,
-
-  /**
-   * The Euler number.
-   *
-   * ※ This is an alias for `Math.E`.
-   */
-  E: ℇ,
-} = Math;
-
-export const {
-  /**
-   * The largest number value less than infinity.
-   *
-   * ※ This is an alias for `Number.MAX_VALUE`.
-   */
-  MAX_VALUE: MAXIMUM_NUMBER,
-
-  /**
-   * 2**53 - 1.
-   *
-   * ※ This is an alias for `Number.MAX_SAFE_INTEGER`.
-   */
-  MAX_SAFE_INTEGER: MAXIMUM_SAFE_INTEGRAL_NUMBER,
-
-  /**
-   * The smallest number value greater than negative infinity.
-   *
-   * ※ This is an alias for `Number.MIN_VALUE`.
-   */
-  MIN_VALUE: MINIMUM_NUMBER,
-
-  /**
-   * -(2**53 - 1).
-   *
-   * ※ This is an alias for `Number.MIN_SAFE_INTEGER`.
-   */
-  MIN_SAFE_INTEGER: MINIMUM_SAFE_INTEGRAL_NUMBER,
-
-  /**
-   * Negative infinity.
-   *
-   * ※ This is an alias for `Number.NEGATIVE_INFINITY`.
-   */
+import {
+  NAN,
   NEGATIVE_INFINITY,
-
-  /**
-   * Nan.
-   *
-   * ※ This is an alias for `Number.NaN`.
-   */
-  NaN: NAN,
-
-  /**
-   * Positive infinity.
-   *
-   * ※ This is an alias for `Number.POSITIVE_INFINITY`.
-   */
   POSITIVE_INFINITY,
-
-  /**
-   * The difference between 1 and the smallest number greater than 1.
-   *
-   * ※ This is an alias for `Number.EPSILON`.
-   */
-  EPSILON: Ε,
-
-  /**
-   * Returns whether the provided value is a finite number.
-   *
-   * ※ This is an alias for `Number.isFinite`.
-   */
-  isFinite: isFiniteNumber,
-
-  /**
-   * Returns whether the provided value is an integral number.
-   *
-   * ※ This is an alias for `Number.isInteger`.
-   */
-  isInteger: isIntegralNumber,
-
-  /**
-   * Returns whether the provided value is nan.
-   *
-   * ※ This is an alias for `Number.isNaN`.
-   */
-  isNaN: isNan,
-
-  /**
-   * Returns whether the provided value is a safe integral number.
-   *
-   * ※ This is an alias for `Number.isSafeInteger`.
-   */
-  isSafeInteger: isSafeIntegralNumber,
-} = Number;
-
-/** Positive zero. */
-export const POSITIVE_ZERO = 0;
-
-/** Negative zero. */
-export const NEGATIVE_ZERO = -0;
+  sameValue,
+  toPrimitive,
+  UNDEFINED,
+} from "./value.js";
 
 /**
  * Returns the magnitude (absolute value) of the provided value.
@@ -411,6 +45,66 @@ export const abs = ($) => {
     : n;
 };
 
+/**
+ * Returns the arccos of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.acos`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const arccos = createArrowFunction(
+  Math.acos,
+  { name: "arccos" },
+);
+
+/**
+ * Returns the arccosh of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.acosh`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const arccosh = createArrowFunction(
+  Math.acosh,
+  { name: "arccosh" },
+);
+
+/**
+ * Returns the arcsin of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.asin`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const arcsin = createArrowFunction(
+  Math.asin,
+  { name: "arcsin" },
+);
+
+/**
+ * Returns the arcsinh of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.asinh`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const arcsinh = createArrowFunction(
+  Math.asinh,
+  { name: "arcsinh" },
+);
+
+/**
+ * Returns the arctan of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.atan`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const arctan = createArrowFunction(
+  Math.atan,
+  { name: "arctan" },
+);
+
 export const {
   /**
    * Returns the arctangent of the dividend of the provided values.
@@ -418,7 +112,7 @@ export const {
    * ※ Unlike `Math.atan2`, this function can take big·int arguments.
    * However, the result will always be a number.
    */
-  atan2,
+  arctan2,
 
   /**
    * Returns the number of leading zeroes in the 32‐bit representation
@@ -440,7 +134,7 @@ export const {
 } = (() => {
   const { atan2, fround, clz32 } = Math;
   return {
-    atan2: (y, x) => atan2(toNumber(y), toNumber(x)),
+    arctan2: (y, x) => atan2(toNumber(y), toNumber(x)),
     clz32: ($) => {
       const n = toNumeric($);
       return clz32(
@@ -453,6 +147,167 @@ export const {
   };
 })();
 
+/**
+ * Returns the arctanh of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.atanh`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const arctanh = createArrowFunction(
+  Math.atanh,
+  { name: "arctanh" },
+);
+
+/**
+ * Returns the cube root of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.cbrt`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const cbrt = createArrowFunction(Math.cbrt);
+
+/**
+ * Returns the ceiling of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.ceil`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const ceil = createArrowFunction(Math.ceil);
+
+/**
+ * Returns the cos of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.cos`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const cos = createArrowFunction(Math.cos);
+
+/**
+ * Returns the cosh of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.cosh`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const cosh = createArrowFunction(Math.cosh);
+
+/**
+ * Returns the Euler number raised to the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.exp`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const exp = createArrowFunction(Math.exp);
+
+/**
+ * Returns the Euler number raised to the provided value, minus one.
+ *
+ * ※ This function is effectively an alias for `Math.expm1`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const expm1 = createArrowFunction(Math.expm1);
+
+/**
+ * Returns the floor of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.floor`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const floor = createArrowFunction(Math.floor);
+
+/**
+ * Returns the square root of the sum of the squares of the provided
+ * arguments.
+ *
+ * ※ This function is effectively an alias for `Math.hypot`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const hypot = createArrowFunction(Math.hypot);
+
+/**
+ * Returns whether the provided value is a finite number.
+ *
+ * ※ This function is effectively an alias for `Number.isFinite`.
+ */
+export const isFiniteNumber = createArrowFunction(
+  Number.isFinite,
+  { name: "isFiniteNumber" },
+);
+
+/**
+ * Returns whether the provided value is an integral number.
+ *
+ * ※ This function is effectively an alias for `Number.isInteger`.
+ */
+export const isIntegralNumber = createArrowFunction(
+  Number.isInteger,
+  { name: "isIntegralNumber" },
+);
+
+/**
+ * Returns whether the provided value is nan.
+ *
+ * ※ This function is effectively an alias for `Number.isNaN`.
+ */
+export const isNan = createArrowFunction(
+  Number.isNaN,
+  { name: "isNan" },
+);
+
+/**
+ * Returns whether the provided value is a safe integral number.
+ *
+ * ※ This function is effectively an alias for `Number.isSafeInteger`.
+ */
+export const isSafeIntegralNumber = createArrowFunction(
+  Number.isSafeInteger,
+  { name: "isSafeIntegralNumber" },
+);
+
+/**
+ * Returns the ln of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.log`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const ln = createArrowFunction(Math.log, { name: "ln" });
+
+/**
+ * Returns the ln of one plus the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.log1p`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const ln1p = createArrowFunction(Math.log1p, { name: "ln1p" });
+
+/**
+ * Returns the log10 of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.log10`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const log10 = createArrowFunction(Math.log10);
+
+/**
+ * Returns the log2 of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.log2`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const log2 = createArrowFunction(Math.log2);
+
 /**
  * Returns the highest value of the provided arguments, or negative
  * infinity if no argument is provided.
@@ -464,12 +319,12 @@ export const {
  * ☡ If no argument is supplied, the result will be a number, not a
  * big·int.
  */
-export const max = (...$s) => {
-  let highest = undefined;
+export const max = Object.defineProperties((...$s) => {
+  let highest = UNDEFINED;
   for (let i = 0; i < $s.length; ++i) {
     // Iterate over all the numbers.
     const number = toNumeric($s[i]);
-    if (highest === undefined) {
+    if (highest === UNDEFINED) {
       // The current number is the first one.
       if (isNan(number)) {
         // The current number is nan.
@@ -489,7 +344,7 @@ export const max = (...$s) => {
       } else if (sameValue(number, 0) && sameValue(highest, -0)) {
         // The current number is +0 and the highest number is -0.
         highest = 0;
-      } else if (highest === undefined || number > highest) {
+      } else if (number > highest) {
         // The current number is greater than the highest number.
         highest = number;
       } else {
@@ -500,7 +355,10 @@ export const max = (...$s) => {
     }
   }
   return highest ?? NEGATIVE_INFINITY;
-};
+}, {
+  name: defineOwnDataProperty(Object.create(null), "value", "max"),
+  length: defineOwnDataProperty(Object.create(null), "value", 2),
+});
 
 /**
  * Returns the lowest value of the provided arguments, or positive
@@ -513,12 +371,12 @@ export const max = (...$s) => {
  * ☡ If no argument is supplied, the result will be a number, not a
  * big·int.
  */
-export const min = (...$s) => {
-  let lowest = undefined;
+export const min = Object.defineProperties((...$s) => {
+  let lowest = UNDEFINED;
   for (let i = 0; i < $s.length; ++i) {
     // Iterate over all the numbers.
     const number = toNumeric($s[i]);
-    if (lowest === undefined) {
+    if (lowest === UNDEFINED) {
       // The current number is the first one.
       if (isNan(number)) {
         // The current number is nan.
@@ -550,7 +408,29 @@ export const min = (...$s) => {
     }
   }
   return lowest ?? POSITIVE_INFINITY;
-};
+}, {
+  name: defineOwnDataProperty(Object.create(null), "value", "min"),
+  length: defineOwnDataProperty(Object.create(null), "value", 2),
+});
+
+/**
+ * Returns a pseudo·random value in the range [0, 1).
+ *
+ * ※ This function is effectively an alias for `Math.random`.
+ */
+export const rand = createArrowFunction(
+  Math.random,
+  { name: "rand" },
+);
+
+/**
+ * Returns the round of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.round`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const round = createArrowFunction(Math.round);
 
 /**
  * Returns a unit value with the same sign as the provided value, or
@@ -582,6 +462,51 @@ export const sgn = ($) => {
     : 1;
 };
 
+/**
+ * Returns the sin of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.sin`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const sin = createArrowFunction(Math.sin);
+
+/**
+ * Returns the sinh of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.sinh`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const sinh = createArrowFunction(Math.sinh);
+
+/**
+ * Returns the square root of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.sqrt`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const sqrt = createArrowFunction(Math.sqrt);
+
+/**
+ * Returns the tan of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.tan`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const tan = createArrowFunction(Math.tan);
+
+/**
+ * Returns the tanh of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.tanh`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const tanh = createArrowFunction(Math.tanh);
+
 /**
  * Returns the result of converting the provided value to a big·int.
  *
@@ -634,12 +559,12 @@ export const {
           return call(
             numberToExponential,
             n,
-            [fractionDigits === undefined ? fractionDigits : f],
+            [fractionDigits === UNDEFINED ? fractionDigits : f],
           );
         } else {
           const digits = call(bigintToString, n, [10]);
           const { length } = digits;
-          if (fractionDigits === undefined) {
+          if (fractionDigits === UNDEFINED) {
             return length === 1
               ? `${digits[0]}e+0`
               : `${digits[0]}.${substring(digits, 1)}e+${length - 1}`;
@@ -805,3 +730,12 @@ export const {
     },
   };
 })();
+
+/**
+ * Returns the trunc of the provided value.
+ *
+ * ※ This function is effectively an alias for `Math.trunc`.
+ *
+ * ☡ This function does not allow big·int arguments.
+ */
+export const trunc = createArrowFunction(Math.trunc);