When Number is called with argument value, the following steps are taken:

1. If value is present, then
   1. Let prim be ? ToNumeric(value).
   2. If Type(prim) is BigInt, let n be the Number value for the mathematical value of prim.
   3. Otherwise, let n be prim.
2. Else,
   1. Let n be +0.
3. If NewTarget is undefined, return n.
4. Let O be ? OrdinaryCreateFromConstructor(NewTarget, "%Number.prototype%", « [[NumberData]] »).
5. Set O.[[NumberData]] to n.
6. Return O.

The value of Number.EPSILON is the difference between 1 and the smallest value greater than 1 that is representable as a Number value, which is approximately 2.2204460492503130808472633361816 x 10 ^{- 16}.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

When Number.isFinite is called with one argument number, the following steps are taken:

1. If Type(number) is not Number, return false.
2. If number is NaN, +∞, or -∞, return false.
3. Otherwise, return true.

When Number.isInteger is called with one argument number, the following steps are taken:

1. Return ! IsInteger(number).

When Number.isNaN is called with one argument number, the following steps are taken:

1. If Type(number) is not Number, return false.
2. If number is NaN, return true.
3. Otherwise, return false.

Note

This function differs from the global isNaN function (18.2.3) in that it does not convert its argument to a Number before determining whether it is NaN.

When Number.isSafeInteger is called with one argument number, the following steps are taken:

1. If ! IsInteger(number) is true, then
   1. If abs(number) ≤ 2⁵³ - 1, return true.
2. Return false.

Note

The value of Number.MAX_SAFE_INTEGER is the largest integer n such that n and n + 1 are both exactly representable as a Number value.

The value of Number.MAX_SAFE_INTEGER is 9007199254740991 (2⁵³ - 1).

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The value of Number.MAX_VALUE is the largest positive finite value of the Number type, which is approximately 1.7976931348623157 × 10³⁰⁸.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

Note

The value of Number.MIN_SAFE_INTEGER is the smallest integer n such that n and n - 1 are both exactly representable as a Number value.

The value of Number.MIN_SAFE_INTEGER is -9007199254740991 (-(2⁵³ - 1)).

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The value of Number.MIN_VALUE is the smallest positive value of the Number type, which is approximately 5 × 10^-324.

In the IEEE 754-2019 double precision binary representation, the smallest possible value is a denormalized number. If an implementation does not support denormalized values, the value of Number.MIN_VALUE must be the smallest non-zero positive value that can actually be represented by the implementation.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The value of Number.NaN is NaN.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The value of Number.NEGATIVE_INFINITY is -∞.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The value of the Number.parseFloat data property is the same built-in function object that is the value of the "parseFloat" property of the global object defined in 18.2.4.

The value of the Number.parseInt data property is the same built-in function object that is the value of the "parseInt" property of the global object defined in 18.2.5.

The value of Number.POSITIVE_INFINITY is +∞.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The initial value of Number.prototype is %Number.prototype%.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The initial value of Number.prototype.constructor is %Number%.

Return a String containing this Number value represented in decimal exponential notation with one digit before the significand's decimal point and fractionDigits digits after the significand's decimal point. If fractionDigits is undefined, include as many significand digits as necessary to uniquely specify the Number (just like in ToString except that in this case the Number is always output in exponential notation). Specifically, perform the following steps:

1. Let x be ? thisNumberValue(this value).
2. Let f be ? ToInteger(fractionDigits).
3. Assert: If fractionDigits is undefined, then f is 0.
4. If x is NaN, return the String "NaN".
5. Let s be the empty String.
6. If x < 0, then
   1. Set s to "-".
   2. Set x to -x.
7. If x = +∞, then
   1. Return the string-concatenation of s and "Infinity".
8. If f < 0 or f > 100, throw a RangeError exception.
9. If x = 0, then
   1. Let m be the String value consisting of f + 1 occurrences of the code unit 0x0030 (DIGIT ZERO).
   2. Let e be 0.
10. Else,
    1. If fractionDigits is not undefined, then
       1. Let e and n be integers such that 10^f ≤ n < 10^{f + 1} and for which ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(n)} - ℝ(x) is as close to zero as possible. If there are two such sets of e and n, pick the e and n for which ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(f)} is larger.
    2. Else,
       1. Let e, n, and f be integers such that f ≥ 0, 10^f ≤ n < 10^{f + 1}, the Number value for ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(f)} is x, and f is as small as possible. Note that the decimal representation of n has f + 1_ℝ digits, n is not divisible by 10, and the least significant digit of n is not necessarily uniquely determined by these criteria.
    3. Let m be the String value consisting of the digits of the decimal representation of n (in order, with no leading zeroes).
11. If f ≠ 0, then
    1. Let a be the first code unit of m, and let b be the remaining f code units of m.
    2. Set m to the string-concatenation of a, ".", and b.
12. If e = 0, then
    1. Let c be "+".
    2. Let d be "0".
13. Else,
    1. If e > 0, let c be "+".
    2. Else,
       1. Assert: e < 0.
       2. Let c be "-".
       3. Set e to -e.
    3. Let d be the String value consisting of the digits of the decimal representation of e (in order, with no leading zeroes).
14. Set m to the string-concatenation of m, "e", c, and d.
15. Return the string-concatenation of s and m.

Note

For implementations that provide more accurate conversions than required by the rules above, it is recommended that the following alternative version of step 10.b.i be used as a guideline:

1. Let e, n, and f be integers such that f ≥ 0, 10^f ≤ n < 10^{f + 1}, the Number value for ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(f)} is x, and f is as small as possible. If there are multiple possibilities for n, choose the value of n for which ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(f)} is closest in value to x. If there are two such possible values of n, choose the one that is even.

Note 1

toFixed returns a String containing this Number value represented in decimal fixed-point notation with fractionDigits digits after the decimal point. If fractionDigits is undefined, 0 is assumed.

The following steps are performed:

1. Let x be ? thisNumberValue(this value).
2. Let f be ? ToInteger(fractionDigits).
3. Assert: If fractionDigits is undefined, then f is 0.
4. If f < 0 or f > 100, throw a RangeError exception.
5. If x is NaN, return the String "NaN".
6. Let s be the empty String.
7. If x < 0, then
   1. Set s to "-".
   2. Set x to -x.
8. If x ≥ 10²¹, then
   1. Let m be ! ToString(x).
9. Else,
   1. Let n be an integer for which ℝ(n) ÷ 10_ℝ^ℝ(f) - ℝ(x) is as close to zero as possible. If there are two such n, pick the larger n.
   2. If n = 0, let m be the String "0". Otherwise, let m be the String value consisting of the digits of the decimal representation of n (in order, with no leading zeroes).
   3. If f ≠ 0, then
      1. Let k be the length of m.
      2. If k ≤ f, then
         1. Let z be the String value consisting of f + 1 - k occurrences of the code unit 0x0030 (DIGIT ZERO).
         2. Set m to the string-concatenation of z and m.
         3. Set k to f + 1.
      3. Let a be the first k - f code units of m, and let b be the remaining f code units of m.
      4. Set m to the string-concatenation of a, ".", and b.
10. Return the string-concatenation of s and m.

Note 2

The output of toFixed may be more precise than toString for some values because toString only prints enough significant digits to distinguish the number from adjacent number values. For example,

(1000000000000000128).toString() returns "1000000000000000100", while
(1000000000000000128).toFixed(0) returns "1000000000000000128".

An ECMAScript implementation that includes the ECMA-402 Internationalization API must implement the Number.prototype.toLocaleString method as specified in the ECMA-402 specification. If an ECMAScript implementation does not include the ECMA-402 API the following specification of the toLocaleString method is used.

Produces a String value that represents this Number value formatted according to the conventions of the host environment's current locale. This function is implementation-dependent, and it is permissible, but not encouraged, for it to return the same thing as toString.

The meanings of the optional parameters to this method are defined in the ECMA-402 specification; implementations that do not include ECMA-402 support must not use those parameter positions for anything else.

Return a String containing this Number value represented either in decimal exponential notation with one digit before the significand's decimal point and precision - 1 digits after the significand's decimal point or in decimal fixed notation with precision significant digits. If precision is undefined, call ToString instead. Specifically, perform the following steps:

1. Let x be ? thisNumberValue(this value).
2. If precision is undefined, return ! ToString(x).
3. Let p be ? ToInteger(precision).
4. If x is NaN, return the String "NaN".
5. Let s be the empty String.
6. If x < 0, then
   1. Set s to the code unit 0x002D (HYPHEN-MINUS).
   2. Set x to -x.
7. If x = +∞, then
   1. Return the string-concatenation of s and "Infinity".
8. If p < 1 or p > 100, throw a RangeError exception.
9. If x = 0, then
   1. Let m be the String value consisting of p occurrences of the code unit 0x0030 (DIGIT ZERO).
   2. Let e be 0.
10. Else,
    1. Let e and n be integers such that 10^{p - 1} ≤ n < 10^p and for which ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(p) + 1_ℝ} - ℝ(x) is as close to zero as possible. If there are two such sets of e and n, pick the e and n for which ℝ(n) × 10_ℝ^{ℝ(e) - ℝ(p) + 1_ℝ} is larger.
    2. Let m be the String value consisting of the digits of the decimal representation of n (in order, with no leading zeroes).
    3. If e < -6 or e ≥ p, then
       1. Assert: e ≠ 0.
       2. If p ≠ 1, then
          1. Let a be the first code unit of m, and let b be the remaining p - 1 code units of m.
          2. Set m to the string-concatenation of a, ".", and b.
       3. If e > 0, then
          1. Let c be the code unit 0x002B (PLUS SIGN).
       4. Else,
          1. Assert: e < 0.
          2. Let c be the code unit 0x002D (HYPHEN-MINUS).
          3. Set e to -e.
       5. Let d be the String value consisting of the digits of the decimal representation of e (in order, with no leading zeroes).
       6. Return the string-concatenation of s, m, the code unit 0x0065 (LATIN SMALL LETTER E), c, and d.
11. If e = p - 1, return the string-concatenation of s and m.
12. If e ≥ 0, then
    1. Set m to the string-concatenation of the first e + 1 code units of m, the code unit 0x002E (FULL STOP), and the remaining p - (e + 1) code units of m.
13. Else,
    1. Set m to the string-concatenation of the code unit 0x0030 (DIGIT ZERO), the code unit 0x002E (FULL STOP), -(e + 1) occurrences of the code unit 0x0030 (DIGIT ZERO), and the String m.
14. Return the string-concatenation of s and m.

Note

The optional radix should be an integer value in the inclusive range 2 to 36. If radix is undefined the Number 10 is used as the value of radix.

The following steps are performed:

1. Let x be ? thisNumberValue(this value).
2. If radix is undefined, let radixNumber be 10.
3. Else, let radixNumber be ? ToInteger(radix).
4. If radixNumber < 2 or radixNumber > 36, throw a RangeError exception.
5. If radixNumber = 10, return ! ToString(x).
6. Return the String representation of this Number value using the radix specified by radixNumber. Letters a-z are used for digits with values 10 through 35. The precise algorithm is implementation-dependent, however the algorithm should be a generalization of that specified in 6.1.6.1.20.

The toString function is not generic; it throws a TypeError exception if its this value is not a Number or a Number object. Therefore, it cannot be transferred to other kinds of objects for use as a method.

The "length" property of the toString method is 1.

1. Return ? thisNumberValue(this value).

When BigInt is called with argument value, the following steps are taken:

1. If NewTarget is not undefined, throw a TypeError exception.
2. Let prim be ? ToPrimitive(value, hint Number).
3. If Type(prim) is Number, return ? NumberToBigInt(prim).
4. Otherwise, return ? ToBigInt(value).

When the BigInt.asIntN function is called with two arguments bits and bigint, the following steps are taken:

1. Set bits to ? ToIndex(bits).
2. Set bigint to ? ToBigInt(bigint).
3. Let mod be the BigInt value that represents bigint modulo 2^bits.
4. If mod ≥ 2^{bits - 1}, return mod - 2^bits; otherwise, return mod.

When the BigInt.asUintN function is called with two arguments bits and bigint, the following steps are taken:

1. Set bits to ? ToIndex(bits).
2. Set bigint to ? ToBigInt(bigint).
3. Return the BigInt value that represents bigint modulo 2^bits.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The initial value of BigInt.prototype.constructor is the intrinsic object %BigInt%.

An ECMAScript implementation that includes the ECMA-402 Internationalization API must implement the BigInt.prototype.toLocaleString method as specified in the ECMA-402 specification. If an ECMAScript implementation does not include the ECMA-402 API the following specification of the toLocaleString method is used.

Produces a String value that represents this BigInt value formatted according to the conventions of the host environment's current locale. This function is implementation-dependent, and it is permissible, but not encouraged, for it to return the same thing as toString.

The meanings of the optional parameters to this method are defined in the ECMA-402 specification; implementations that do not include ECMA-402 support must not use those parameter positions for anything else.

Note

The optional radix should be an integer value in the inclusive range 2 to 36. If radix not present or is undefined the Number 10 is used as the value of radix.

The following steps are performed:

1. Let x be ? thisBigIntValue(this value).
2. If radix is not present, let radixNumber be 10.
3. Else if radix is undefined, let radixNumber be 10.
4. Else, let radixNumber be ? ToInteger(radix).
5. If radixNumber < 2 or radixNumber > 36, throw a RangeError exception.
6. If radixNumber = 10, return ! ToString(x).
7. Return the String representation of this Number value using the radix specified by radixNumber. Letters a-z are used for digits with values 10 through 35. The precise algorithm is implementation-dependent, however the algorithm should be a generalization of that specified in 6.1.6.2.23.

The toString function is not generic; it throws a TypeError exception if its this value is not a BigInt or a BigInt object. Therefore, it cannot be transferred to other kinds of objects for use as a method.

1. Return ? thisBigIntValue(this value).

The initial value of the @@toStringTag property is the String value "BigInt".

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: true }.

The Number value for e_ℝ, the base of the natural logarithms, which is approximately 2.7182818284590452354.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The Number value for the natural logarithm of 10_ℝ, which is approximately 2.302585092994046.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The Number value for the natural logarithm of 2_ℝ, which is approximately 0.6931471805599453.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The Number value for the base-10 logarithm of e_ℝ, the base of the natural logarithms; this value is approximately 0.4342944819032518.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

Note

The value of Math.LOG10E is approximately the reciprocal of the value of Math.LN10.

The Number value for the base-2 logarithm of e_ℝ, the base of the natural logarithms; this value is approximately 1.4426950408889634.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

Note

The value of Math.LOG2E is approximately the reciprocal of the value of Math.LN2.

The Number value for π_ℝ, the ratio of the circumference of a circle to its diameter, which is approximately 3.1415926535897932.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The Number value for the square root of ½_ℝ, which is approximately 0.7071067811865476.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

Note

The value of Math.SQRT1_2 is approximately the reciprocal of the value of Math.SQRT2.

The Number value for the square root of 2_ℝ, which is approximately 1.4142135623730951.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

The initial value of the @@toStringTag property is the String value "Math".

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: true }.

Returns the absolute value of x; the result has the same magnitude as x but has positive sign.

• If x is NaN, the result is NaN.
• If x is -0, the result is +0.
• If x is -∞, the result is +∞.

Returns an implementation-dependent approximation to the arc cosine of x. The result is expressed in radians and ranges from +0 to +π.

• If x is NaN, the result is NaN.
• If x is greater than 1, the result is NaN.
• If x is less than -1, the result is NaN.
• If x is exactly 1, the result is +0.

Returns an implementation-dependent approximation to the inverse hyperbolic cosine of x.

• If x is NaN, the result is NaN.
• If x is less than 1, the result is NaN.
• If x is 1, the result is +0.
• If x is +∞, the result is +∞.

Returns an implementation-dependent approximation to the arc sine of x. The result is expressed in radians and ranges from -π / 2 to +π / 2.

• If x is NaN, the result is NaN.
• If x is greater than 1, the result is NaN.
• If x is less than -1, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.

Returns an implementation-dependent approximation to the inverse hyperbolic sine of x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.

Returns an implementation-dependent approximation to the arc tangent of x. The result is expressed in radians and ranges from -π / 2 to +π / 2.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is an implementation-dependent approximation to +π / 2.
• If x is -∞, the result is an implementation-dependent approximation to -π / 2.

Returns an implementation-dependent approximation to the inverse hyperbolic tangent of x.

• If x is NaN, the result is NaN.
• If x is less than -1, the result is NaN.
• If x is greater than 1, the result is NaN.
• If x is -1, the result is -∞.
• If x is +1, the result is +∞.
• If x is +0, the result is +0.
• If x is -0, the result is -0.

Returns an implementation-dependent approximation to the arc tangent of the quotient y / x of the arguments y and x, where the signs of y and x are used to determine the quadrant of the result. Note that it is intentional and traditional for the two-argument arc tangent function that the argument named y be first and the argument named x be second. The result is expressed in radians and ranges from -π to +π.

• If either x or y is NaN, the result is NaN.
• If y > 0 and x is +0, the result is an implementation-dependent approximation to +π / 2.
• If y > 0 and x is -0, the result is an implementation-dependent approximation to +π / 2.
• If y is +0 and x > 0, the result is +0.
• If y is +0 and x is +0, the result is +0.
• If y is +0 and x is -0, the result is an implementation-dependent approximation to +π.
• If y is +0 and x < 0, the result is an implementation-dependent approximation to +π.
• If y is -0 and x > 0, the result is -0.
• If y is -0 and x is +0, the result is -0.
• If y is -0 and x is -0, the result is an implementation-dependent approximation to -π.
• If y is -0 and x < 0, the result is an implementation-dependent approximation to -π.
• If y < 0 and x is +0, the result is an implementation-dependent approximation to -π / 2.
• If y < 0 and x is -0, the result is an implementation-dependent approximation to -π / 2.
• If y > 0 and y is finite and x is +∞, the result is +0.
• If y > 0 and y is finite and x is -∞, the result is an implementation-dependent approximation to +π.
• If y < 0 and y is finite and x is +∞, the result is -0.
• If y < 0 and y is finite and x is -∞, the result is an implementation-dependent approximation to -π.
• If y is +∞ and x is finite, the result is an implementation-dependent approximation to +π / 2.
• If y is -∞ and x is finite, the result is an implementation-dependent approximation to -π / 2.
• If y is +∞ and x is +∞, the result is an implementation-dependent approximation to +π / 4.
• If y is +∞ and x is -∞, the result is an implementation-dependent approximation to +3π / 4.
• If y is -∞ and x is +∞, the result is an implementation-dependent approximation to -π / 4.
• If y is -∞ and x is -∞, the result is an implementation-dependent approximation to -3π / 4.

Returns an implementation-dependent approximation to the cube root of x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.

Returns the smallest (closest to -∞) Number value that is not less than x and is an integer. If x is already an integer, the result is x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.
• If x is less than 0 but greater than -1, the result is -0.

The value of Math.ceil(x) is the same as the value of -Math.floor(-x).

When Math.clz32 is called with one argument x, the following steps are taken:

1. Let n be ? ToUint32(x).
2. Let p be the number of leading zero bits in the 32-bit binary representation of n.
3. Return p.

Note

If n is 0, p will be 32. If the most significant bit of the 32-bit binary encoding of n is 1, p will be 0.

Returns an implementation-dependent approximation to the cosine of x. The argument is expressed in radians.

• If x is NaN, the result is NaN.
• If x is +0, the result is 1.
• If x is -0, the result is 1.
• If x is +∞, the result is NaN.
• If x is -∞, the result is NaN.

Returns an implementation-dependent approximation to the hyperbolic cosine of x.

• If x is NaN, the result is NaN.
• If x is +0, the result is 1.
• If x is -0, the result is 1.
• If x is +∞, the result is +∞.
• If x is -∞, the result is +∞.

Note

The value of Math.cosh(x) is the same as the value of (Math.exp(x) + Math.exp(-x)) / 2.

Returns an implementation-dependent approximation to the exponential function of x (e raised to the power of x, where e is the base of the natural logarithms).

• If x is NaN, the result is NaN.
• If x is +0, the result is 1.
• If x is -0, the result is 1.
• If x is +∞, the result is +∞.
• If x is -∞, the result is +0.

Returns an implementation-dependent approximation to subtracting 1 from the exponential function of x (e raised to the power of x, where e is the base of the natural logarithms). The result is computed in a way that is accurate even when the value of x is close 0.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -1.

Returns the greatest (closest to +∞) Number value that is not greater than x and is an integer. If x is already an integer, the result is x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.
• If x is greater than 0 but less than 1, the result is +0.

Note

The value of Math.floor(x) is the same as the value of -Math.ceil(-x).

When Math.fround is called with argument x, the following steps are taken:

1. If x is NaN, return NaN.
2. If x is one of +0, -0, +∞, -∞, return x.
3. Let x32 be the result of converting x to a value in IEEE 754-2019 binary32 format using roundTiesToEven mode.
4. Let x64 be the result of converting x32 to a value in IEEE 754-2019 binary64 format.
5. Return the ECMAScript Number value corresponding to x64.

Math.hypot returns an implementation-dependent approximation of the square root of the sum of squares of its arguments.

• If no arguments are passed, the result is +0.
• If any argument is +∞, the result is +∞.
• If any argument is -∞, the result is +∞.
• If no argument is +∞ or -∞, and any argument is NaN, the result is NaN.
• If all arguments are either +0 or -0, the result is +0.

Note

Implementations should take care to avoid the loss of precision from overflows and underflows that are prone to occur in naive implementations when this function is called with two or more arguments.

When Math.imul is called with arguments x and y, the following steps are taken:

1. Let a be ? ToUint32(x).
2. Let b be ? ToUint32(y).
3. Let product be (a × b) modulo 2³².
4. If product ≥ 2³¹, return product - 2³²; otherwise return product.

Returns an implementation-dependent approximation to the natural logarithm of x.

• If x is NaN, the result is NaN.
• If x is less than 0, the result is NaN.
• If x is +0 or -0, the result is -∞.
• If x is 1, the result is +0.
• If x is +∞, the result is +∞.

Returns an implementation-dependent approximation to the natural logarithm of 1 + x. The result is computed in a way that is accurate even when the value of x is close to zero.

• If x is NaN, the result is NaN.
• If x is less than -1, the result is NaN.
• If x is -1, the result is -∞.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.

Returns an implementation-dependent approximation to the base 10 logarithm of x.

• If x is NaN, the result is NaN.
• If x is less than 0, the result is NaN.
• If x is +0, the result is -∞.
• If x is -0, the result is -∞.
• If x is 1, the result is +0.
• If x is +∞, the result is +∞.

Returns an implementation-dependent approximation to the base 2 logarithm of x.

• If x is NaN, the result is NaN.
• If x is less than 0, the result is NaN.
• If x is +0, the result is -∞.
• If x is -0, the result is -∞.
• If x is 1, the result is +0.
• If x is +∞, the result is +∞.

Given zero or more arguments, calls ToNumber on each of the arguments and returns the largest of the resulting values.

• If no arguments are given, the result is -∞.
• If any value is NaN, the result is NaN.
• The comparison of values to determine the largest value is done using the Abstract Relational Comparison algorithm except that +0 is considered to be larger than -0.

Given zero or more arguments, calls ToNumber on each of the arguments and returns the smallest of the resulting values.

• If no arguments are given, the result is +∞.
• If any value is NaN, the result is NaN.
• The comparison of values to determine the smallest value is done using the Abstract Relational Comparison algorithm except that +0 is considered to be larger than -0.

1. Set base to ? ToNumber(base).
2. Set exponent to ? ToNumber(exponent).
3. Return ! Number::exponentiate(base, exponent).

Returns a Number value with positive sign, greater than or equal to 0 but less than 1, chosen randomly or pseudo randomly with approximately uniform distribution over that range, using an implementation-dependent algorithm or strategy. This function takes no arguments.

Each Math.random function created for distinct realms must produce a distinct sequence of values from successive calls.

Returns the Number value that is closest to x and is an integer. If two integers are equally close to x, then the result is the Number value that is closer to +∞. If x is already an integer, the result is x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.
• If x is greater than 0 but less than 0.5, the result is +0.
• If x is less than 0 but greater than or equal to -0.5, the result is -0.

Note 1

Math.round(3.5) returns 4, but Math.round(-3.5) returns -3.

Note 2

The value of Math.round(x) is not always the same as the value of Math.floor(x + 0.5). When x is -0 or is less than 0 but greater than or equal to -0.5, Math.round(x) returns -0, but Math.floor(x + 0.5) returns +0. Math.round(x) may also differ from the value of Math.floor(x + 0.5)because of internal rounding when computing x + 0.5.

Returns the sign of x, indicating whether x is positive, negative, or zero.

• If x is NaN, the result is NaN.
• If x is -0, the result is -0.
• If x is +0, the result is +0.
• If x is negative and not -0, the result is -1.
• If x is positive and not +0, the result is +1.

Returns an implementation-dependent approximation to the sine of x. The argument is expressed in radians.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞ or -∞, the result is NaN.

Returns an implementation-dependent approximation to the hyperbolic sine of x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.

Note

The value of Math.sinh(x) is the same as the value of (Math.exp(x) - Math.exp(-x)) / 2.

Returns an implementation-dependent approximation to the square root of x.

• If x is NaN, the result is NaN.
• If x is less than 0, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +∞.

Returns an implementation-dependent approximation to the tangent of x. The argument is expressed in radians.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞ or -∞, the result is NaN.

Returns an implementation-dependent approximation to the hyperbolic tangent of x.

• If x is NaN, the result is NaN.
• If x is +0, the result is +0.
• If x is -0, the result is -0.
• If x is +∞, the result is +1.
• If x is -∞, the result is -1.

Note

The value of Math.tanh(x) is the same as the value of (Math.exp(x) - Math.exp(-x)) / (Math.exp(x) + Math.exp(-x)).

Returns the integral part of the number x, removing any fractional digits. If x is already an integer, the result is x.

• If x is NaN, the result is NaN.
• If x is -0, the result is -0.
• If x is +0, the result is +0.
• If x is +∞, the result is +∞.
• If x is -∞, the result is -∞.
• If x is greater than 0 but less than 1, the result is +0.
• If x is less than 0 but greater than -1, the result is -0.

Time measurement in ECMAScript is analogous to time measurement in POSIX, in particular sharing definition in terms of the proleptic Gregorian calendar, an epoch of midnight at the beginning of 01 January, 1970 UTC, and an accounting of every day as comprising exactly 86,400 seconds (each of which is 1000 milliseconds long).

An ECMAScript time value is a Number, either a finite integer representing an instant in time to millisecond precision or NaN representing no specific instant. A time value that is a multiple of 24 × 60 × 60 × 1000 = 86,400,000 (i.e., is equal to 86,400,000 × d for some integer d) represents the instant at the start of the UTC day that follows the epoch by d whole UTC days (preceding the epoch for negative d). Every other finite time value t is defined relative to the greatest preceding time value s that is such a multiple, and represents the instant that occurs within the same UTC day as s but follows it by t − s milliseconds.

Time values do not account for UTC leap seconds—there are no time values representing instants within positive leap seconds, and there are time values representing instants removed from the UTC timeline by negative leap seconds. However, the definition of time values nonetheless yields piecewise alignment with UTC, with discontinuities only at leap second boundaries and zero difference outside of leap seconds.

A Number can exactly represent all integers from -9,007,199,254,740,992 to 9,007,199,254,740,992 (20.1.2.8 and 20.1.2.6). A time value supports a slightly smaller range of -8,640,000,000,000,000 to 8,640,000,000,000,000 milliseconds. This yields a supported time value range of exactly -100,000,000 days to 100,000,000 days relative to midnight at the beginning of 01 January, 1970 UTC.

The exact moment of midnight at the beginning of 01 January, 1970 UTC is represented by the time value +0.

Note

The 400 year cycle of the proleptic Gregorian calendar contains 97 leap years. This yields an average of 365.2425 days per year, which is 31,556,952,000 milliseconds. Therefore, the maximum range a Number could represent exactly with millisecond precision is approximately -285,426 to 285,426 years relative to 1970. The smaller range supported by a time value as specified in this section is approximately -273,790 to 273,790 years relative to 1970.

A given time value t belongs to day number

Day(t) = floor(t / msPerDay)

where the number of milliseconds per day is

msPerDay = 86400000

The remainder is called the time within the day:

TimeWithinDay(t) = t modulo msPerDay

ECMAScript uses a proleptic Gregorian calendar to map a day number to a year number and to determine the month and date within that year. In this calendar, leap years are precisely those which are (divisible by 4) and ((not divisible by 100) or (divisible by 400)). The number of days in year number y is therefore defined by

DaysInYear(y) = 365 if (y modulo 4) ≠ 0 = 366 if (y modulo 4) = 0 and (y modulo 100) ≠ 0 = 365 if (y modulo 100) = 0 and (y modulo 400) ≠ 0 = 366 if (y modulo 400) = 0

All non-leap years have 365 days with the usual number of days per month and leap years have an extra day in February. The day number of the first day of year y is given by:

DayFromYear(y) = 365 × (y - 1970) + floor((y - 1969) / 4) - floor((y - 1901) / 100) + floor((y - 1601) / 400)

The time value of the start of a year is:

TimeFromYear(y) = msPerDay × DayFromYear(y)

A time value determines a year by:

YearFromTime(t) = the largest integer y (closest to positive infinity) such that TimeFromYear(y) ≤ t

The leap-year function is 1 for a time within a leap year and otherwise is zero:

InLeapYear(t) = 0 if DaysInYear(YearFromTime(t)) = 365 = 1 if DaysInYear(YearFromTime(t)) = 366

Months are identified by an integer in the range 0 to 11, inclusive. The mapping MonthFromTime(t) from a time value t to a month number is defined by:

MonthFromTime(t) = 0 if 0 ≤ DayWithinYear(t) < 31 = 1 if 31 ≤ DayWithinYear(t) < 59 + InLeapYear(t) = 2 if 59 + InLeapYear(t) ≤ DayWithinYear(t) < 90 + InLeapYear(t) = 3 if 90 + InLeapYear(t) ≤ DayWithinYear(t) < 120 + InLeapYear(t) = 4 if 120 + InLeapYear(t) ≤ DayWithinYear(t) < 151 + InLeapYear(t) = 5 if 151 + InLeapYear(t) ≤ DayWithinYear(t) < 181 + InLeapYear(t) = 6 if 181 + InLeapYear(t) ≤ DayWithinYear(t) < 212 + InLeapYear(t) = 7 if 212 + InLeapYear(t) ≤ DayWithinYear(t) < 243 + InLeapYear(t) = 8 if 243 + InLeapYear(t) ≤ DayWithinYear(t) < 273 + InLeapYear(t) = 9 if 273 + InLeapYear(t) ≤ DayWithinYear(t) < 304 + InLeapYear(t) = 10 if 304 + InLeapYear(t) ≤ DayWithinYear(t) < 334 + InLeapYear(t) = 11 if 334 + InLeapYear(t) ≤ DayWithinYear(t) < 365 + InLeapYear(t)

where

DayWithinYear(t) = Day(t) - DayFromYear(YearFromTime(t))

A month value of 0 specifies January; 1 specifies February; 2 specifies March; 3 specifies April; 4 specifies May; 5 specifies June; 6 specifies July; 7 specifies August; 8 specifies September; 9 specifies October; 10 specifies November; and 11 specifies December. Note that MonthFromTime(0) = 0, corresponding to Thursday, 01 January, 1970.

A date number is identified by an integer in the range 1 through 31, inclusive. The mapping DateFromTime(t) from a time value t to a date number is defined by:

DateFromTime(t) = DayWithinYear(t) + 1 if MonthFromTime(t) = 0 = DayWithinYear(t) - 30 if MonthFromTime(t) = 1 = DayWithinYear(t) - 58 - InLeapYear(t) if MonthFromTime(t) = 2 = DayWithinYear(t) - 89 - InLeapYear(t) if MonthFromTime(t) = 3 = DayWithinYear(t) - 119 - InLeapYear(t) if MonthFromTime(t) = 4 = DayWithinYear(t) - 150 - InLeapYear(t) if MonthFromTime(t) = 5 = DayWithinYear(t) - 180 - InLeapYear(t) if MonthFromTime(t) = 6 = DayWithinYear(t) - 211 - InLeapYear(t) if MonthFromTime(t) = 7 = DayWithinYear(t) - 242 - InLeapYear(t) if MonthFromTime(t) = 8 = DayWithinYear(t) - 272 - InLeapYear(t) if MonthFromTime(t) = 9 = DayWithinYear(t) - 303 - InLeapYear(t) if MonthFromTime(t) = 10 = DayWithinYear(t) - 333 - InLeapYear(t) if MonthFromTime(t) = 11

The weekday for a particular time value t is defined as

WeekDay(t) = (Day(t) + 4) modulo 7

A weekday value of 0 specifies Sunday; 1 specifies Monday; 2 specifies Tuesday; 3 specifies Wednesday; 4 specifies Thursday; 5 specifies Friday; and 6 specifies Saturday. Note that WeekDay(0) = 4, corresponding to Thursday, 01 January, 1970.

LocalTZA( t, isUTC ) is an implementation-defined algorithm that returns the local time zone adjustment, or offset, in milliseconds. The local political rules for standard time and daylight saving time in effect at t should be used to determine the result in the way specified in this section.

When isUTC is true, LocalTZA( t_UTC, true ) should return the offset of the local time zone from UTC measured in milliseconds at time represented by time value t_UTC. When the result is added to t_UTC, it should yield the corresponding Number t_local.

When isUTC is false, LocalTZA( t_local, false ) should return the offset of the local time zone from UTC measured in milliseconds at local time represented by Number t_local. When the result is subtracted from t_local, it should yield the corresponding time value t_UTC.

Input t is nominally a time value but may be any Number value. This can occur when isUTC is false and t_local represents a time value that is already offset outside of the time value range at the range boundaries. The algorithm must not limit t_local to the time value range, so that such inputs are supported.

When t_local represents local time repeating multiple times at a negative time zone transition (e.g. when the daylight saving time ends or the time zone offset is decreased due to a time zone rule change) or skipped local time at a positive time zone transitions (e.g. when the daylight saving time starts or the time zone offset is increased due to a time zone rule change), t_local must be interpreted using the time zone offset before the transition.

If an implementation does not support a conversion described above or if political rules for time t are not available within the implementation, the result must be 0.

Note

It is recommended that implementations use the time zone information of the IANA Time Zone Database https://www.iana.org/time-zones/.

1:30 AM on November 5, 2017 in America/New_York is repeated twice (fall backward), but it must be interpreted as 1:30 AM UTC-04 instead of 1:30 AM UTC-05. LocalTZA(TimeClip(MakeDate(MakeDay(2017, 10, 5), MakeTime(1, 30, 0, 0))), false) is -4 × msPerHour.

2:30 AM on March 12, 2017 in America/New_York does not exist, but it must be interpreted as 2:30 AM UTC-05 (equivalent to 3:30 AM UTC-04). LocalTZA(TimeClip(MakeDate(MakeDay(2017, 2, 12), MakeTime(2, 30, 0, 0))), false) is -5 × msPerHour.

Local time zone offset values may be positive or negative.

The abstract operation LocalTime with argument t converts t from UTC to local time by performing the following steps:

1. Return t + LocalTZA(t, true).

Note

Two different input time values t_UTC are converted to the same local time t_local at a negative time zone transition when there are repeated times (e.g. the daylight saving time ends or the time zone adjustment is decreased.).

LocalTime(UTC(t_local)) is not necessarily always equal to t_local. Correspondingly, UTC(LocalTime(t_UTC)) is not necessarily always equal to t_UTC.

The abstract operation UTC with argument t converts t from local time to UTC by performing the following steps:

1. Return t - LocalTZA(t, false).

Note

UTC(LocalTime(t_UTC)) is not necessarily always equal to t_UTC. Correspondingly, LocalTime(UTC(t_local)) is not necessarily always equal to t_local.

The following abstract operations are useful in decomposing time values:

HourFromTime(t) = floor(t / msPerHour) modulo HoursPerDay MinFromTime(t) = floor(t / msPerMinute) modulo MinutesPerHour SecFromTime(t) = floor(t / msPerSecond) modulo SecondsPerMinute msFromTime(t) = t modulo msPerSecond

where

HoursPerDay = 24 MinutesPerHour = 60 SecondsPerMinute = 60 msPerSecond = 1000 msPerMinute = 60000 = msPerSecond × SecondsPerMinute msPerHour = 3600000 = msPerMinute × MinutesPerHour

The abstract operation MakeTime calculates a number of milliseconds from its four arguments, which must be ECMAScript Number values. This operator functions as follows:

1. If hour is not finite or min is not finite or sec is not finite or ms is not finite, return NaN.
2. Let h be ! ToInteger(hour).
3. Let m be ! ToInteger(min).
4. Let s be ! ToInteger(sec).
5. Let milli be ! ToInteger(ms).
6. Let t be h * msPerHour + m * msPerMinute + s * msPerSecond + milli, performing the arithmetic according to IEEE 754-2019 rules (that is, as if using the ECMAScript operators * and +).
7. Return t.

The abstract operation MakeDay calculates a number of days from its three arguments, which must be ECMAScript Number values. This operator functions as follows:

1. If year is not finite or month is not finite or date is not finite, return NaN.
2. Let y be ! ToInteger(year).
3. Let m be ! ToInteger(month).
4. Let dt be ! ToInteger(date).
5. Let ym be y + floor(m / 12).
6. Let mn be m modulo 12.
7. Find a value t such that YearFromTime(t) is ym and MonthFromTime(t) is mn and DateFromTime(t) is 1; but if this is not possible (because some argument is out of range), return NaN.
8. Return Day(t) + dt - 1.

The abstract operation MakeDate calculates a number of milliseconds from its two arguments, which must be ECMAScript Number values. This operator functions as follows:

1. If day is not finite or time is not finite, return NaN.
2. Return day × msPerDay + time.

The abstract operation TimeClip calculates a number of milliseconds from its argument, which must be an ECMAScript Number value. This operator functions as follows:

1. If time is not finite, return NaN.
2. If abs(time) > 8.64 × 10¹⁵, return NaN.
3. Return ! ToInteger(time).

Note

The point of step 4 is that an implementation is permitted a choice of internal representations of time values, for example as a 64-bit signed integer or as a 64-bit floating-point value. Depending on the implementation, this internal representation may or may not distinguish -0 and +0.

ECMAScript defines a string interchange format for date-times based upon a simplification of the ISO 8601 calendar date extended format. The format is as follows: YYYY-MM-DDTHH:mm:ss.sssZ

Where the elements are as follows:

YYYY	is the year in the proleptic Gregorian calendar as four decimal digits from 0000 to 9999, or as an expanded year of "+" or "-" followed by six decimal digits.
-	"-" (hyphen) appears literally twice in the string.
MM	is the month of the year as two decimal digits from 01 (January) to 12 (December).
DD	is the day of the month as two decimal digits from 01 to 31.
T	"T" appears literally in the string, to indicate the beginning of the time element.
HH	is the number of complete hours that have passed since midnight as two decimal digits from 00 to 24.
:	":" (colon) appears literally twice in the string.
mm	is the number of complete minutes since the start of the hour as two decimal digits from 00 to 59.
ss	is the number of complete seconds since the start of the minute as two decimal digits from 00 to 59.
.	"." (dot) appears literally in the string.
sss	is the number of complete milliseconds since the start of the second as three decimal digits.
Z	is the UTC offset representation specified as "Z" (for UTC with no offset) or an offset of either "+" or "-" followed by a time expression HH:mm (indicating local time ahead of or behind UTC, respectively)

This format includes date-only forms:

YYYY
YYYY-MM
YYYY-MM-DD
        

It also includes “date-time” forms that consist of one of the above date-only forms immediately followed by one of the following time forms with an optional UTC offset representation appended:

THH:mm
THH:mm:ss
THH:mm:ss.sss
        

A string containing out-of-bounds or nonconforming elements is not a valid instance of this format.

Note 1

As every day both starts and ends with midnight, the two notations 00:00 and 24:00 are available to distinguish the two midnights that can be associated with one date. This means that the following two notations refer to exactly the same point in time: 1995-02-04T24:00 and 1995-02-05T00:00. This interpretation of the latter form as "end of a calendar day" is consistent with ISO 8601, even though that specification reserves it for describing time intervals and does not permit it within representations of single points in time.

Note 2

There exists no international standard that specifies abbreviations for civil time zones like CET, EST, etc. and sometimes the same abbreviation is even used for two very different time zones. For this reason, both ISO 8601 and this format specify numeric representations of time zone offsets.

This description applies only if the Date constructor is called with at least two arguments.

When the Date function is called, the following steps are taken:

1. Let numberOfArgs be the number of arguments passed to this function call.
2. Assert: numberOfArgs ≥ 2.
3. If NewTarget is undefined, then
   1. Let now be the Number that is the time value (UTC) identifying the current time.
   2. Return ToDateString(now).
4. Else,
   1. Let y be ? ToNumber(year).
   2. Let m be ? ToNumber(month).
   3. If date is present, let dt be ? ToNumber(date); else let dt be 1.
   4. If hours is present, let h be ? ToNumber(hours); else let h be 0.
   5. If minutes is present, let min be ? ToNumber(minutes); else let min be 0.
   6. If seconds is present, let s be ? ToNumber(seconds); else let s be 0.
   7. If ms is present, let milli be ? ToNumber(ms); else let milli be 0.
   8. If y is NaN, let yr be NaN.
   9. Else,
      1. Let yi be ! ToInteger(y).
      2. If 0 ≤ yi ≤ 99, let yr be 1900 + yi; otherwise, let yr be y.
   10. Let finalDate be MakeDate(MakeDay(yr, m, dt), MakeTime(h, min, s, milli)).
   11. Let O be ? OrdinaryCreateFromConstructor(NewTarget, "%Date.prototype%", « [[DateValue]] »).
   12. Set O.[[DateValue]] to TimeClip(UTC(finalDate)).
   13. Return O.

This description applies only if the Date constructor is called with exactly one argument.

When the Date function is called, the following steps are taken:

1. Let numberOfArgs be the number of arguments passed to this function call.
2. Assert: numberOfArgs = 1.
3. If NewTarget is undefined, then
   1. Let now be the Number that is the time value (UTC) identifying the current time.
   2. Return ToDateString(now).
4. Else,
   1. If Type(value) is Object and value has a [[DateValue]] internal slot, then
      1. Let tv be thisTimeValue(value).
   2. Else,
      1. Let v be ? ToPrimitive(value).
      2. If Type(v) is String, then
         1. Assert: The next step never returns an abrupt completion because Type(v) is String.
         2. Let tv be the result of parsing v as a date, in exactly the same manner as for the parse method (20.4.3.2).
      3. Else,
         1. Let tv be ? ToNumber(v).
   3. Let O be ? OrdinaryCreateFromConstructor(NewTarget, "%Date.prototype%", « [[DateValue]] »).
   4. Set O.[[DateValue]] to TimeClip(tv).
   5. Return O.

This description applies only if the Date constructor is called with no arguments.

When the Date function is called, the following steps are taken:

1. Let numberOfArgs be the number of arguments passed to this function call.
2. Assert: numberOfArgs = 0.
3. If NewTarget is undefined, then
   1. Let now be the Number that is the time value (UTC) identifying the current time.
   2. Return ToDateString(now).
4. Else,
   1. Let O be ? OrdinaryCreateFromConstructor(NewTarget, "%Date.prototype%", « [[DateValue]] »).
   2. Set O.[[DateValue]] to the time value (UTC) identifying the current time.
   3. Return O.

The now function returns a Number value that is the time value designating the UTC date and time of the occurrence of the call to now.

The parse function applies the ToString operator to its argument. If ToString results in an abrupt completion the Completion Record is immediately returned. Otherwise, parse interprets the resulting String as a date and time; it returns a Number, the UTC time value corresponding to the date and time. The String may be interpreted as a local time, a UTC time, or a time in some other time zone, depending on the contents of the String. The function first attempts to parse the String according to the format described in Date Time String Format (20.4.1.15), including expanded years. If the String does not conform to that format the function may fall back to any implementation-specific heuristics or implementation-specific date formats. Strings that are unrecognizable or contain out-of-bounds format element values shall cause Date.parse to return NaN.

If the String conforms to the Date Time String Format, substitute values take the place of absent format elements. When the MM or DD elements are absent, "01" is used. When the HH, mm, or ss elements are absent, "00" is used. When the sss element is absent, "000" is used. When the UTC offset representation is absent, date-only forms are interpreted as a UTC time and date-time forms are interpreted as a local time.

If x is any Date object whose milliseconds amount is zero within a particular implementation of ECMAScript, then all of the following expressions should produce the same numeric value in that implementation, if all the properties referenced have their initial values:

          x.valueOf()
          Date.parse(x.toString())
          Date.parse(x.toUTCString())
          Date.parse(x.toISOString())
        

However, the expression

          Date.parse(x.toLocaleString())
        

is not required to produce the same Number value as the preceding three expressions and, in general, the value produced by Date.parse is implementation-dependent when given any String value that does not conform to the Date Time String Format (20.4.1.15) and that could not be produced in that implementation by the toString or toUTCString method.

The initial value of Date.prototype is %Date.prototype%.

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: false }.

When the UTC function is called, the following steps are taken:

1. Let y be ? ToNumber(year).
2. If month is present, let m be ? ToNumber(month); else let m be 0.
3. If date is present, let dt be ? ToNumber(date); else let dt be 1.
4. If hours is present, let h be ? ToNumber(hours); else let h be 0.
5. If minutes is present, let min be ? ToNumber(minutes); else let min be 0.
6. If seconds is present, let s be ? ToNumber(seconds); else let s be 0.
7. If ms is present, let milli be ? ToNumber(ms); else let milli be 0.
8. If y is NaN, let yr be NaN.
9. Else,
   1. Let yi be ! ToInteger(y).
   2. If 0 ≤ yi ≤ 99, let yr be 1900 + yi; otherwise, let yr be y.
10. Return TimeClip(MakeDate(MakeDay(yr, m, dt), MakeTime(h, min, s, milli))).

The "length" property of the UTC function is 7.

Note

The UTC function differs from the Date constructor in two ways: it returns a time value as a Number, rather than creating a Date object, and it interprets the arguments in UTC rather than as local time.

The initial value of Date.prototype.constructor is %Date%.

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return DateFromTime(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return WeekDay(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return YearFromTime(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return HourFromTime(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return msFromTime(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return MinFromTime(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return MonthFromTime(LocalTime(t)).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return SecFromTime(LocalTime(t)).

The following steps are performed:

1. Return ? thisTimeValue(this value).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return (t - LocalTime(t)) / msPerMinute.

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return DateFromTime(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return WeekDay(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return YearFromTime(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return HourFromTime(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return msFromTime(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return MinFromTime(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return MonthFromTime(t).

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, return NaN.
3. Return SecFromTime(t).

The following steps are performed:

1. Let t be LocalTime(? thisTimeValue(this value)).
2. Let dt be ? ToNumber(date).
3. Let newDate be MakeDate(MakeDay(YearFromTime(t), MonthFromTime(t), dt), TimeWithinDay(t)).
4. Let u be TimeClip(UTC(newDate)).
5. Set the [[DateValue]] internal slot of this Date object to u.
6. Return u.

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, set t to +0; otherwise, set t to LocalTime(t).
3. Let y be ? ToNumber(year).
4. If month is not present, let m be MonthFromTime(t); otherwise, let m be ? ToNumber(month).
5. If date is not present, let dt be DateFromTime(t); otherwise, let dt be ? ToNumber(date).
6. Let newDate be MakeDate(MakeDay(y, m, dt), TimeWithinDay(t)).
7. Let u be TimeClip(UTC(newDate)).
8. Set the [[DateValue]] internal slot of this Date object to u.
9. Return u.

The "length" property of the setFullYear method is 3.

Note

If month is not present, this method behaves as if month was present with the value getMonth(). If date is not present, it behaves as if date was present with the value getDate().

The following steps are performed:

1. Let t be LocalTime(? thisTimeValue(this value)).
2. Let h be ? ToNumber(hour).
3. If min is not present, let m be MinFromTime(t); otherwise, let m be ? ToNumber(min).
4. If sec is not present, let s be SecFromTime(t); otherwise, let s be ? ToNumber(sec).
5. If ms is not present, let milli be msFromTime(t); otherwise, let milli be ? ToNumber(ms).
6. Let date be MakeDate(Day(t), MakeTime(h, m, s, milli)).
7. Let u be TimeClip(UTC(date)).
8. Set the [[DateValue]] internal slot of this Date object to u.
9. Return u.

The "length" property of the setHours method is 4.

Note

If min is not present, this method behaves as if min was present with the value getMinutes(). If sec is not present, it behaves as if sec was present with the value getSeconds(). If ms is not present, it behaves as if ms was present with the value getMilliseconds().

The following steps are performed:

1. Let t be LocalTime(? thisTimeValue(this value)).
2. Set ms to ? ToNumber(ms).
3. Let time be MakeTime(HourFromTime(t), MinFromTime(t), SecFromTime(t), ms).
4. Let u be TimeClip(UTC(MakeDate(Day(t), time))).
5. Set the [[DateValue]] internal slot of this Date object to u.
6. Return u.

The following steps are performed:

1. Let t be LocalTime(? thisTimeValue(this value)).
2. Let m be ? ToNumber(min).
3. If sec is not present, let s be SecFromTime(t); otherwise, let s be ? ToNumber(sec).
4. If ms is not present, let milli be msFromTime(t); otherwise, let milli be ? ToNumber(ms).
5. Let date be MakeDate(Day(t), MakeTime(HourFromTime(t), m, s, milli)).
6. Let u be TimeClip(UTC(date)).
7. Set the [[DateValue]] internal slot of this Date object to u.
8. Return u.

The "length" property of the setMinutes method is 3.

Note

If sec is not present, this method behaves as if sec was present with the value getSeconds(). If ms is not present, this behaves as if ms was present with the value getMilliseconds().

The following steps are performed:

1. Let t be LocalTime(? thisTimeValue(this value)).
2. Let m be ? ToNumber(month).
3. If date is not present, let dt be DateFromTime(t); otherwise, let dt be ? ToNumber(date).
4. Let newDate be MakeDate(MakeDay(YearFromTime(t), m, dt), TimeWithinDay(t)).
5. Let u be TimeClip(UTC(newDate)).
6. Set the [[DateValue]] internal slot of this Date object to u.
7. Return u.

The "length" property of the setMonth method is 2.

Note

If date is not present, this method behaves as if date was present with the value getDate().

The following steps are performed:

1. Let t be LocalTime(? thisTimeValue(this value)).
2. Let s be ? ToNumber(sec).
3. If ms is not present, let milli be msFromTime(t); otherwise, let milli be ? ToNumber(ms).
4. Let date be MakeDate(Day(t), MakeTime(HourFromTime(t), MinFromTime(t), s, milli)).
5. Let u be TimeClip(UTC(date)).
6. Set the [[DateValue]] internal slot of this Date object to u.
7. Return u.

The "length" property of the setSeconds method is 2.

Note

If ms is not present, this method behaves as if ms was present with the value getMilliseconds().

The following steps are performed:

1. Perform ? thisTimeValue(this value).
2. Let t be ? ToNumber(time).
3. Let v be TimeClip(t).
4. Set the [[DateValue]] internal slot of this Date object to v.
5. Return v.

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. Let dt be ? ToNumber(date).
3. Let newDate be MakeDate(MakeDay(YearFromTime(t), MonthFromTime(t), dt), TimeWithinDay(t)).
4. Let v be TimeClip(newDate).
5. Set the [[DateValue]] internal slot of this Date object to v.
6. Return v.

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. If t is NaN, set t to +0.
3. Let y be ? ToNumber(year).
4. If month is not present, let m be MonthFromTime(t); otherwise, let m be ? ToNumber(month).
5. If date is not present, let dt be DateFromTime(t); otherwise, let dt be ? ToNumber(date).
6. Let newDate be MakeDate(MakeDay(y, m, dt), TimeWithinDay(t)).
7. Let v be TimeClip(newDate).
8. Set the [[DateValue]] internal slot of this Date object to v.
9. Return v.

The "length" property of the setUTCFullYear method is 3.

Note

If month is not present, this method behaves as if month was present with the value getUTCMonth(). If date is not present, it behaves as if date was present with the value getUTCDate().

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. Let h be ? ToNumber(hour).
3. If min is not present, let m be MinFromTime(t); otherwise, let m be ? ToNumber(min).
4. If sec is not present, let s be SecFromTime(t); otherwise, let s be ? ToNumber(sec).
5. If ms is not present, let milli be msFromTime(t); otherwise, let milli be ? ToNumber(ms).
6. Let newDate be MakeDate(Day(t), MakeTime(h, m, s, milli)).
7. Let v be TimeClip(newDate).
8. Set the [[DateValue]] internal slot of this Date object to v.
9. Return v.

The "length" property of the setUTCHours method is 4.

Note

If min is not present, this method behaves as if min was present with the value getUTCMinutes(). If sec is not present, it behaves as if sec was present with the value getUTCSeconds(). If ms is not present, it behaves as if ms was present with the value getUTCMilliseconds().

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. Let milli be ? ToNumber(ms).
3. Let time be MakeTime(HourFromTime(t), MinFromTime(t), SecFromTime(t), milli).
4. Let v be TimeClip(MakeDate(Day(t), time)).
5. Set the [[DateValue]] internal slot of this Date object to v.
6. Return v.

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. Let m be ? ToNumber(min).
3. If sec is not present, let s be SecFromTime(t).
4. Else,
   1. Let s be ? ToNumber(sec).
5. If ms is not present, let milli be msFromTime(t).
6. Else,
   1. Let milli be ? ToNumber(ms).
7. Let date be MakeDate(Day(t), MakeTime(HourFromTime(t), m, s, milli)).
8. Let v be TimeClip(date).
9. Set the [[DateValue]] internal slot of this Date object to v.
10. Return v.

The "length" property of the setUTCMinutes method is 3.

Note

If sec is not present, this method behaves as if sec was present with the value getUTCSeconds(). If ms is not present, it function behaves as if ms was present with the value return by getUTCMilliseconds().

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. Let m be ? ToNumber(month).
3. If date is not present, let dt be DateFromTime(t).
4. Else,
   1. Let dt be ? ToNumber(date).
5. Let newDate be MakeDate(MakeDay(YearFromTime(t), m, dt), TimeWithinDay(t)).
6. Let v be TimeClip(newDate).
7. Set the [[DateValue]] internal slot of this Date object to v.
8. Return v.

The "length" property of the setUTCMonth method is 2.

Note

If date is not present, this method behaves as if date was present with the value getUTCDate().

The following steps are performed:

1. Let t be ? thisTimeValue(this value).
2. Let s be ? ToNumber(sec).
3. If ms is not present, let milli be msFromTime(t).
4. Else,
   1. Let milli be ? ToNumber(ms).
5. Let date be MakeDate(Day(t), MakeTime(HourFromTime(t), MinFromTime(t), s, milli)).
6. Let v be TimeClip(date).
7. Set the [[DateValue]] internal slot of this Date object to v.
8. Return v.

The "length" property of the setUTCSeconds method is 2.

Note

If ms is not present, this method behaves as if ms was present with the value getUTCMilliseconds().

The following steps are performed:

1. Let O be this Date object.
2. Let tv be ? thisTimeValue(O).
3. If tv is NaN, return "Invalid Date".
4. Let t be LocalTime(tv).
5. Return DateString(t).

If this time value is not a finite Number or if it corresponds with a year that cannot be represented in the Date Time String Format, this function throws a RangeError exception. Otherwise, it returns a String representation of this time value in that format on the UTC time scale, including all format elements and the UTC offset representation "Z".

This function provides a String representation of a Date object for use by JSON.stringify (24.5.2).

When the toJSON method is called with argument key, the following steps are taken:

1. Let O be ? ToObject(this value).
2. Let tv be ? ToPrimitive(O, hint Number).
3. If Type(tv) is Number and tv is not finite, return null.
4. Return ? Invoke(O, "toISOString").

Note 1

The argument is ignored.

Note 2

The toJSON function is intentionally generic; it does not require that its this value be a Date object. Therefore, it can be transferred to other kinds of objects for use as a method. However, it does require that any such object have a toISOString method.

An ECMAScript implementation that includes the ECMA-402 Internationalization API must implement the Date.prototype.toLocaleDateString method as specified in the ECMA-402 specification. If an ECMAScript implementation does not include the ECMA-402 API the following specification of the toLocaleDateString method is used.

This function returns a String value. The contents of the String are implementation-dependent, but are intended to represent the “date” portion of the Date in the current time zone in a convenient, human-readable form that corresponds to the conventions of the host environment's current locale.

The meaning of the optional parameters to this method are defined in the ECMA-402 specification; implementations that do not include ECMA-402 support must not use those parameter positions for anything else.

An ECMAScript implementation that includes the ECMA-402 Internationalization API must implement the Date.prototype.toLocaleString method as specified in the ECMA-402 specification. If an ECMAScript implementation does not include the ECMA-402 API the following specification of the toLocaleString method is used.

This function returns a String value. The contents of the String are implementation-dependent, but are intended to represent the Date in the current time zone in a convenient, human-readable form that corresponds to the conventions of the host environment's current locale.

The meaning of the optional parameters to this method are defined in the ECMA-402 specification; implementations that do not include ECMA-402 support must not use those parameter positions for anything else.

An ECMAScript implementation that includes the ECMA-402 Internationalization API must implement the Date.prototype.toLocaleTimeString method as specified in the ECMA-402 specification. If an ECMAScript implementation does not include the ECMA-402 API the following specification of the toLocaleTimeString method is used.

This function returns a String value. The contents of the String are implementation-dependent, but are intended to represent the “time” portion of the Date in the current time zone in a convenient, human-readable form that corresponds to the conventions of the host environment's current locale.

The meaning of the optional parameters to this method are defined in the ECMA-402 specification; implementations that do not include ECMA-402 support must not use those parameter positions for anything else.

The following steps are performed:

1. Let tv be ? thisTimeValue(this value).
2. Return ToDateString(tv).

Note 1

For any Date object d whose milliseconds amount is zero, the result of Date.parse(d.toString()) is equal to d.valueOf(). See 20.4.3.2.

Note 2

The toString function is not generic; it throws a TypeError exception if its this value is not a Date object. Therefore, it cannot be transferred to other kinds of objects for use as a method.

The following steps are performed:

1. Let O be this Date object.
2. Let tv be ? thisTimeValue(O).
3. If tv is NaN, return "Invalid Date".
4. Let t be LocalTime(tv).
5. Return the string-concatenation of TimeString(t) and TimeZoneString(tv).

The toUTCString method returns a String value representing the instance in time corresponding to this time value. The format of the String is based upon "HTTP-date" from RFC 7231, generalized to support the full range of times supported by ECMAScript Date objects. It performs the following steps:

1. Let O be this Date object.
2. Let tv be ? thisTimeValue(O).
3. If tv is NaN, return "Invalid Date".
4. Let weekday be the Name of the entry in Table 50 with the Number WeekDay(tv).
5. Let month be the Name of the entry in Table 51 with the Number MonthFromTime(tv).
6. Let day be the String representation of DateFromTime(tv), formatted as a two-digit decimal number, padded to the left with a zero if necessary.
7. Let yv be YearFromTime(tv).
8. If yv ≥ 0, let yearSign be the empty String; otherwise, let yearSign be "-".
9. Let year be the String representation of abs(yv), formatted as a decimal number.
10. Let paddedYear be ! StringPad(year, 4, "0", start).
11. Return the string-concatenation of weekday, ",", the code unit 0x0020 (SPACE), day, the code unit 0x0020 (SPACE), month, the code unit 0x0020 (SPACE), yearSign, paddedYear, the code unit 0x0020 (SPACE), and TimeString(tv).

The following steps are performed:

1. Return ? thisTimeValue(this value).

This function is called by ECMAScript language operators to convert a Date object to a primitive value. The allowed values for hint are "default", "number", and "string". Date objects, are unique among built-in ECMAScript object in that they treat "default" as being equivalent to "string", All other built-in ECMAScript objects treat "default" as being equivalent to "number".

When the @@toPrimitive method is called with argument hint, the following steps are taken:

1. Let O be the this value.
2. If Type(O) is not Object, throw a TypeError exception.
3. If hint is the String value "string" or the String value "default", then
   1. Let tryFirst be "string".
4. Else if hint is the String value "number", then
   1. Let tryFirst be "number".
5. Else, throw a TypeError exception.
6. Return ? OrdinaryToPrimitive(O, tryFirst).

The value of the "name" property of this function is "[Symbol.toPrimitive]".

This property has the attributes { [[Writable]]: false, [[Enumerable]]: false, [[Configurable]]: true }.