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d3-format

Ever noticed how sometimes JavaScript doesn’t display numbers the way you expect? Like, you tried to print tenths with a simple loop:

js
for (let i = 0; i < 10; ++i) {
  console.log(0.1 * i);
}

And you got this:

0
0.1
0.2
0.30000000000000004
0.4
0.5
0.6000000000000001
0.7000000000000001
0.8
0.9

Welcome to binary floating point! ಠ_ಠ

Yet rounding error is not the only reason to customize number formatting. A table of numbers should be formatted consistently for comparison; above, 0.0 would be better than 0. Large numbers should have grouped digits (e.g., 42,000) or be in scientific or metric notation (4.2e+4, 42k). Currencies should have fixed precision ($3.50). Reported numerical results should be rounded to significant digits (4021 becomes 4000). Number formats should appropriate to the reader’s locale (42.000,00 or 42,000.00). The list goes on.

Formatting numbers for human consumption is the purpose of d3-format, which is modeled after Python 3’s format specification mini-language (PEP 3101). Revisiting the example above:

js
const f = d3.format(".1f");
for (let i = 0; i < 10; ++i) {
  console.log(f(0.1 * i));
}

Now you get this:

0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9

But d3-format is much more than an alias for number.toFixed! A few more examples:

js
d3.format(".0%")(0.123) // rounded percentage, "12%"
js
d3.format("($.2f")(-3.5) // localized fixed-point currency, "(£3.50)"
js
d3.format("+20")(42) // space-filled and signed, "                 +42"
js
d3.format(".^20")(42) // dot-filled and centered, ".........42........."
js
d3.format(".2s")(42e6) // SI-prefix with two significant digits, "42M"
js
d3.format("#x")(48879) // prefixed lowercase hexadecimal, "0xbeef"
js
d3.format(",.2r")(4223) // grouped thousands with two significant digits, "4,200"

See locale.format for a detailed specification, and try running d3.formatSpecifier on the above formats to decode their meaning.

Also see number.toLocaleString.

format(specifier)

js
const f = d3.format(".2f");

Source · An alias for locale.format on the default locale.

formatPrefix(specifier, value)

js
const f = d3.formatPrefix(",.0", 1e-6);

Source · An alias for locale.formatPrefix on the default locale.

formatLocale(definition)

js
const enUs = d3.formatLocale({
  thousands: ",",
  grouping: [3],
  currency: ["$", ""]
});

Source · Returns a locale object for the specified definition with locale.format and locale.formatPrefix methods. The definition must include the following properties:

  • decimal - the decimal point (e.g., ".").
  • thousands - the group separator (e.g., ",").
  • grouping - the array of group sizes (e.g., [3]), cycled as needed.
  • currency - the currency prefix and suffix (e.g., ["$", ""]).
  • numerals - optional; an array of ten strings to replace the numerals 0-9.
  • percent - optional; the percent sign (defaults to "%").
  • minus - optional; the minus sign (defaults to "−").
  • nan - optional; the not-a-number value (defaults "NaN").

Note that the thousands property is a misnomer, as the grouping definition allows groups other than thousands.

formatDefaultLocale(definition)

js
const enUs = d3.formatDefaultLocale({
  thousands: ",",
  grouping: [3],
  currency: ["$", ""]
});

Source · Equivalent to d3.formatLocale, except it also redefines d3.format and d3.formatPrefix to the new locale’s locale.format and locale.formatPrefix. If you do not set a default locale, it defaults to U.S. English.

locale.format(specifier)

js
const f = d3.format(".2f");

Source · Returns a new format function for the given string specifier. The returned function takes a number as the only argument, and returns a string representing the formatted number. The general form of a specifier is:

[​[fill]align][sign][symbol][0][width][,][.precision][~][type]

The fill can be any character. The presence of a fill character is signaled by the align character following it, which must be one of the following:

  • > - Forces the field to be right-aligned within the available space. (Default behavior).
  • < - Forces the field to be left-aligned within the available space.
  • ^ - Forces the field to be centered within the available space.
  • = - like >, but with any sign and symbol to the left of any padding.

The sign can be:

  • - - nothing for zero or positive and a minus sign for negative. (Default behavior.)
  • + - a plus sign for zero or positive and a minus sign for negative.
  • ( - nothing for zero or positive and parentheses for negative.
  •   (space) - a space for zero or positive and a minus sign for negative.

The symbol can be:

  • $ - apply currency symbols per the locale definition.
  • # - for binary, octal, or hexadecimal notation, prefix by 0b, 0o, or 0x, respectively.

The zero (0) option enables zero-padding; this implicitly sets fill to 0 and align to =. The width defines the minimum field width; if not specified, then the width will be determined by the content. The comma (,) option enables the use of a group separator, such as a comma for thousands.

Depending on the type, the precision either indicates the number of digits that follow the decimal point (types f and %), or the number of significant digits (types , e, g, r, s and p). If the precision is not specified, it defaults to 6 for all types except (none), which defaults to 12. Precision is ignored for integer formats (types b, o, d, x, and X) and character data (type c). See precisionFixed and precisionRound for help picking an appropriate precision.

The ~ option trims insignificant trailing zeros across all format types. This is most commonly used in conjunction with types r, e, s and %. For example:

js
d3.format("s")(1500) // "1.50000k"
js
d3.format("~s")(1500) // "1.5k"

The available type values are:

  • e - exponent notation.
  • f - fixed point notation.
  • g - either decimal or exponent notation, rounded to significant digits.
  • r - decimal notation, rounded to significant digits.
  • s - decimal notation with an SI prefix, rounded to significant digits.
  • % - multiply by 100, and then decimal notation with a percent sign.
  • p - multiply by 100, round to significant digits, and then decimal notation with a percent sign.
  • b - binary notation, rounded to integer.
  • o - octal notation, rounded to integer.
  • d - decimal notation, rounded to integer.
  • x - hexadecimal notation, using lower-case letters, rounded to integer.
  • X - hexadecimal notation, using upper-case letters, rounded to integer.
  • c - character data, for a string of text.

The type (none) is also supported as shorthand for ~g (with a default precision of 12 instead of 6), and the type n is shorthand for ,g. For the g, n and (none) types, decimal notation is used if the resulting string would have precision or fewer digits; otherwise, exponent notation is used. For example:

js
d3.format(".2")(42) // "42"
js
d3.format(".2")(4.2) // "4.2"
js
d3.format(".1")(42) // "4e+1"
js
d3.format(".1")(4.2) // "4"

locale.formatPrefix(specifier, value)

js
const f = d3.formatPrefix(",.0", 1e-6);

Source · Equivalent to locale.format, except the returned function will convert values to the units of the appropriate SI prefix for the specified numeric reference value before formatting in fixed point notation. The following prefixes are supported:

  • y - yocto, 10⁻²⁴
  • z - zepto, 10⁻²¹
  • a - atto, 10⁻¹⁸
  • f - femto, 10⁻¹⁵
  • p - pico, 10⁻¹²
  • n - nano, 10⁻⁹
  • µ - micro, 10⁻⁶
  • m - milli, 10⁻³
  • (none) - 10⁰
  • k - kilo, 10³
  • M - mega, 10⁶
  • G - giga, 10⁹
  • T - tera, 10¹²
  • P - peta, 10¹⁵
  • E - exa, 10¹⁸
  • Z - zetta, 10²¹
  • Y - yotta, 10²⁴

Unlike locale.format with the s format type, this method returns a formatter with a consistent SI prefix, rather than computing the prefix dynamically for each number. In addition, the precision for the given specifier represents the number of digits past the decimal point (as with f fixed point notation), not the number of significant digits. For example:

js
const f = d3.formatPrefix(",.0", 1e-6);
f(0.00042); // "420µ"
f(0.0042); // "4,200µ"

This method is useful when formatting multiple numbers in the same units for easy comparison. See precisionPrefix for help picking an appropriate precision.

formatSpecifier(specifier)

js
d3.formatSpecifier(".1f")

Source · Parses the specified specifier, returning an object with exposed fields that correspond to the format specification mini-language and a toString method that reconstructs the specifier. For example, formatSpecifier("s") returns:

js
FormatSpecifier {
  "fill": " ",
  "align": ">",
  "sign": "-",
  "symbol": "",
  "zero": false,
  "width": undefined,
  "comma": false,
  "precision": undefined,
  "trim": false,
  "type": "s"
}

This method is useful for understanding how format specifiers are parsed and for deriving new specifiers. For example, you might compute an appropriate precision based on the numbers you want to format using precisionFixed and then create a new format:

js
const s = d3.formatSpecifier("f");
s.precision = d3.precisionFixed(0.01);
const f = d3.format(s);
f(42); // "42.00";

new d3.FormatSpecifier(specifier)

js
new d3.FormatSpecifier({type: "f", precision: 1})

Source · Given the specified specifier object, returning an object with exposed fields that correspond to the format specification mini-language and a toString method that reconstructs the specifier. For example, new FormatSpecifier({type: "s"}) returns:

js
FormatSpecifier {
  "fill": " ",
  "align": ">",
  "sign": "-",
  "symbol": "",
  "zero": false,
  "width": undefined,
  "comma": false,
  "precision": undefined,
  "trim": false,
  "type": "s"
}

precisionFixed(step)

js
d3.precisionFixed(0.01) // 2

Source · Returns a suggested decimal precision for fixed point notation given the specified numeric step value. The step represents the minimum absolute difference between values that will be formatted. (This assumes that the values to be formatted are also multiples of step.) For example, given the numbers 1, 1.5, and 2, the step should be 0.5 and the suggested precision is 1:

js
const p = d3.precisionFixed(0.5);
const f = d3.format("." + p + "f");
f(1);   // "1.0"
f(1.5); // "1.5"
f(2);   // "2.0"

Whereas for the numbers 1, 2 and 3, the step should be 1 and the suggested precision is 0:

js
const p = d3.precisionFixed(1);
const f = d3.format("." + p + "f");
f(1); // "1"
f(2); // "2"
f(3); // "3"

Note: for the % format type, subtract two:

js
const p = Math.max(0, d3.precisionFixed(0.05) - 2);
const f = d3.format("." + p + "%");
f(0.45); // "45%"
f(0.50); // "50%"
f(0.55); // "55%"

precisionPrefix(step, value)

js
d3.precisionPrefix(1e5, 1.3e6) // 1

Source · Returns a suggested decimal precision for use with locale.formatPrefix given the specified numeric step and reference value. The step represents the minimum absolute difference between values that will be formatted, and value determines which SI prefix will be used. (This assumes that the values to be formatted are also multiples of step.) For example, given the numbers 1.1e6, 1.2e6, and 1.3e6, the step should be 1e5, the value could be 1.3e6, and the suggested precision is 1:

js
const p = d3.precisionPrefix(1e5, 1.3e6);
const f = d3.formatPrefix("." + p, 1.3e6);
f(1.1e6); // "1.1M"
f(1.2e6); // "1.2M"
f(1.3e6); // "1.3M"

precisionRound(step, max)

js
d3.precisionRound(0.01, 1.01) // 3

Source · Returns a suggested decimal precision for format types that round to significant digits given the specified numeric step and max values. The step represents the minimum absolute difference between values that will be formatted, and the max represents the largest absolute value that will be formatted. (This assumes that the values to be formatted are also multiples of step.) For example, given the numbers 0.99, 1.0, and 1.01, the step should be 0.01, the max should be 1.01, and the suggested precision is 3:

js
const p = d3.precisionRound(0.01, 1.01);
const f = d3.format("." + p + "r");
f(0.99); // "0.990"
f(1.0);  // "1.00"
f(1.01); // "1.01"

Whereas for the numbers 0.9, 1.0, and 1.1, the step should be 0.1, the max should be 1.1, and the suggested precision is 2:

js
const p = d3.precisionRound(0.1, 1.1);
const f = d3.format("." + p + "r");
f(0.9); // "0.90"
f(1.0); // "1.0"
f(1.1); // "1.1"

Note: for the e format type, subtract one:

js
const p = Math.max(0, d3.precisionRound(0.01, 1.01) - 1);
const f = d3.format("." + p + "e");
f(0.01); // "1.00e-2"
f(1.01); // "1.01e+0"