ಸಹಾಯ:Convert
This page is a how-to guide detailing a practice or process on the English Wikipedia. |
Template {{Convert}}
is used to convert a value from one unit of measurement to another. This page provides an overview of the options available when using the template.
- Help:Convert units • Simplified list of some commonly used units.
- Help:Convert messages • Error and warning messages.
Asking questions
[ಬದಲಾಯಿಸಿ]- Template talk:Convert • Questions on using the convert template, or discussion of any problems encountered.
- Wikipedia:Help desk • General questions.
- Module talk:Convert • Discussion concerning the convert modules.
Units
[ಬದಲಾಯಿಸಿ]- Help:Convert units • Simplified list of some commonly used units.
- Module:Convert/documentation/conversion data/doc • Full list of units.
Quick start
[ಬದಲಾಯಿಸಿ]By default, the name of the input unit is shown, while the output is abbreviated using the unit's symbol. If wanted, names or symbols can be used, and the output precision can be specified.
{{convert|123.4|ft|m}}
→ 123.4 feet (37.6 m){{convert|123.4|ft|m|abbr=on}}
→ 123.4 ft (37.6 m){{convert|123.4|ft|m|abbr=off}}
→ 123.4 feet (37.6 metres){{convert|123.4|ft|m|abbr=off|sp=us}}
→ 123.4 feet (37.6 meters){{convert|123.4|ft|m|0}}
→ 123.4 feet (38 m){{convert|123.4|ft|m|3}}
→ 123.4 feet (37.612 m)
To avoid overlinking, units are not normally linked, but they can be when needed.
{{convert|12300|m2|rood|abbr=off|lk=on}}
→ 12,300 square metres (12.2 roods){{convert|12300|m2|rood|abbr=off|lk=out}}
→ 12,300 square metres (12.2 roods)
A convert can be used in an adjectival phrase, and user-specified text can be inserted.
{{convert|1500|ft|m|adj=on}}
→ 1,500-foot (460 m){{convert|1500|ft|m|adj=mid|-long}}
→ 1,500-foot-long (460 m)
If no output unit is specified, a default is used.
{{convert|123.4|ft}}
→ 123.4 feet (37.6 m){{convert|123.4|ft|abbr=on}}
→ 123.4 ft (37.6 m){{convert|1500|ft||adj=mid|-long}}
→ 1,500-foot-long (460 m)
The last example used ||
to explicitly show that the output unit has been omitted. If that is not done, the result is an error, and holding the mouse over the error message shows that "-long
" is misinterpreted as the output unit.
{{convert|1500|ft|adj=mid|-long}}
→ 1,500-foot ([convert: unknown unit])
The input and outputs can be "flipped". When flipped, an option such as |lk=out
means "link the right-hand side".
{{convert|12300|m2|rood|abbr=off|lk=out}}
→ 12,300 square metres (12.2 roods){{convert|12300|m2|rood|abbr=off|lk=out|disp=flip}}
→ 12.2 roods (12,300 square metres){{convert|12300|m2|rood|abbr=off|lk=in|disp=flip}}
→ 12.2 roods (12,300 square metres)
The input value can be spelled.
{{convert|5|mi|km|spell=in|0}}
→ five miles (8 km){{convert|5|mi|km|spell=In|0}}
→ Five miles (8 km)
Ranges of values are supported.
{{convert|3|-|6|ft}}
→ 3–6 feet (0.91–1.83 m){{convert|3|to|6|ft|abbr=off|sp=us}}
→ 3 to 6 feet (0.91 to 1.83 meters)
A range can use more than two values.
{{convert|100|x|120|x|210|mm|in}}
→ 100 by 120 by 210 millimetres (3.9 in × 4.7 in × 8.3 in){{convert|100|xx|120|xx|210|mm|in}}
→ 100 × 120 × 210 millimetres (3.9 × 4.7 × 8.3 in){{convert|100|x|120|x|210|mm|in|abbr=on}}
→ 100 mm × 120 mm × 210 mm (3.9 in × 4.7 in × 8.3 in){{convert|100|*|120|*|210|mm|in|abbr=on}}
→ 100×120×210 mm (3.9×4.7×8.3 in)
Some input units consist of multiple components.
{{convert|5|ft|8|in}}
→ 5 feet 8 inches (1.73 m){{convert|11|st|3|lb|kg}}
→ 11 stone 3 pounds (71 kg)
An output can be a combination of several units.
{{convert|123|nmi|km mi}}
→ 123 nautical miles (228 km; 142 mi){{convert|123|hPa|psi inHg|abbr=on|lk=on}}
→ 123 hPa (1.78 psi; 3.6 inHg)
Some outputs consist of multiple units.
{{convert|123.4|m|ydftin}}
→ 123.4 metres (134 yd 2 ft 10 in){{convert|123.4|kg|stlb}}
→ 123.4 kilograms (19 st 6 lb)
Rounding
[ಬದಲಾಯಿಸಿ]By default, the output value is rounded to adjust its precision to match that of the input. An input such as 1234 is interpreted as 1234 ± 0.5, while 1200 is interpreted as 1200 ± 50, and the output value is displayed accordingly, taking into account the scale factor used in the conversion.
If the default is not wanted, the precision of output values can be specified using:
|N
(whereN
is a number) to specify the number of digits to be displayed after the decimal mark (round output to N decimal places).|-N
(where-N
is a negative number) to specify the number of digits before the decimal mark that should be replaced with zero (round output to nearest 10N).|sigfig=N
(whereN
is a positive number) to specify the number of significant digits (round output to N significant figures).|disp=5
to round the output to the nearest multiple of 5.
Examples:
{{convert|1234|ft|m}}
→ 1,234 feet (376 m){{convert|1234|ft|m|2}}
→ 1,234 feet (376.12 m){{convert|1234|ft|m|-1}}
→ 1,234 feet (380 m){{convert|1234|ft|m|disp=5}}
→ 1,234 feet (375 m)*{{convert|1234|ft|m|sigfig=2}}
→ 1,234 feet (380 m){{convert|1234|ft|m|sigfig=4}}
→ 1,234 feet (376.1 m){{convert|1230|ft|m}}
→ 1,230 feet (370 m){{convert|1230|ft|m|0}}
→ 1,230 feet (375 m){{convert|1230|ft|m|1}}
→ 1,230 feet (374.9 m){{convert|5670|sqft}}
→ 5,670 square feet (527 m2){{convert|5670|sqft|-2}}
→ 5,670 square feet (500 m2)
Spell
[ಬದಲಾಯಿಸಿ]Use |sp=us
to specify that unit names should be displayed with US spelling:
{{convert|6|km}}
→ 6 kilometres (3.7 mi){{convert|6|km|sp=us}}
→ 6 kilometers (3.7 mi)
Use |spell=in
to specify that the input value should be spelled in words, or |spell=In
(uppercase "I
") to start with an uppercase letter:
{{convert|5|mi|km|spell=in}}
→ five miles (8.0 km){{convert|5|mi|km|spell=in|abbr=off|0}}
→ five miles (8 kilometres){{convert|5|mi|km|spell=In|0}}
→ Five miles (8 km){{convert|5|mi|km|spell=In|abbr=off|0}}
→ Five miles (8 kilometres){{convert|2+1/4|mi|km|abbr=off|0|spell=In}}
→ Two and a quarter miles (4 kilometres){{convert|2+1/4|mi|km|abbr=off|0|spell=In|sp=us}}
→ Two and a fourth miles (4 kilometers)
The input and output can be "flipped", as shown in these examples which assume that it is reasonable to round the output to the nearest integer:
{{convert|5|mi||0|disp=flip|spell=in}}
→ eight kilometres (5 mi){{convert|5|mi||0|disp=flip|spell=In|abbr=off}}
→ Eight kilometres (5 miles)
The "||
" provides an empty output unit to mean "use the default".
Fractions
[ಬದಲಾಯಿಸಿ]An input value can be specified as a fraction.
{{convert|1/2|in|mm|1}}
→ 1⁄2 inch (12.7 mm){{convert|1/2|in|mm|1|adj=on}}
→ 1⁄2-inch (12.7 mm){{convert|2+1/2|in|mm|1}}
→ 2+1⁄2 inches (63.5 mm){{convert|-2-1/4|in|mm|1}}
→ −2+1⁄4 inches (−57.2 mm){{convert|1/2|in|mm|1|spell=in}}
→ one-half inch (12.7 mm)
If two slashes are used, a horizontal fraction bar is used.
{{convert|1//2|in|mm|1}}
→ 1/2 inch (12.7 mm){{convert|2+1//2|in|mm|1}}
→ 2+1/2 inches (63.5 mm)
An output can be expressed with a fraction using |frac=N
where N is the denominator. For example, |frac=8
rounds the output to the nearest eighth.
{{convert|219|mm|in|abbr=on}}
→ 219 mm (8.6 in){{convert|219|mm|in|abbr=on|frac=2}}
→ 219 mm (8+1⁄2 in){{convert|219|mm|in|abbr=on|frac=4}}
→ 219 mm (8+1⁄2 in){{convert|219|mm|in|abbr=on|frac=8}}
→ 219 mm (8+5⁄8 in){{convert|222|mm|in|abbr=on|frac=8}}
→ 222 mm (8+3⁄4 in)
A fraction is applied to the output unit (if there is only one), or to non-SI units (if using a combination), except that if a precision is also specified, the fraction only applies to the hand unit.
{{convert|18.45|in|m|frac=2}}
→ 18.45 inches (1⁄2 m){{convert|18.45|in|ft in hand cm|frac=2}}
→ 18.45 inches (1+1⁄2 ft; 18+1⁄2 in; 4.2+1⁄2 hands; 46.9 cm){{convert|18.45|in|ft in hand cm|frac=2|1}}
→ 18.45 inches (1.5 ft; 18.5 in; 4.2+1⁄2 hands; 46.9 cm)
Joins
[ಬದಲಾಯಿಸಿ]The |disp=
("display") option may be used to "join" the input and output, as shown in the following examples.
Convert | Output | Description |
---|---|---|
{{convert|2.4|m|ft}} |
2.4 metres (7.9 ft) | default |
{{convert|2.4|m|ft|disp=b}} |
2.4 metres (7.9 ft) | brackets (same as default) |
{{convert|2.4|m|ft|disp=sqbr}} |
2.4 metres [7.9 ft] | square brackets |
{{convert|2.4|m|ft|disp=or}} |
2.4 metres or 7.9 feet | or |
{{convert|2.4|m|ft|disp=comma}} |
2.4 metres, 7.9 ft | comma |
{{convert|2.4|m|ft|disp=slash}} |
2.4 metres (7.9 ft)* | slash |
{{convert|2.4|m|ft|disp=slash|abbr=on}} |
2.4 m (7.9 ft)* | slash (not spaced) |
{{convert|2.4|m|ft|disp=br}} |
2.4 metres 7.9 feet |
"<br />", line break |
Ranges
[ಬದಲಾಯಿಸಿ]A range of values can be specified, as shown in the following examples.
Convert | Output |
---|---|
{{convert|3|-|6|ft}} |
3–6 feet (0.91–1.83 m) |
{{convert|3|–|6|ft}} |
3–6 feet (0.91–1.83 m) |
{{convert|3|and|6|ft}} |
3 and 6 feet (0.91 and 1.83 m) |
{{convert|3|or|6|ft}} |
3 or 6 feet (0.91 or 1.83 m) |
{{convert|3|to|6|ft}} |
3 to 6 feet (0.91 to 1.83 m) |
{{convert|3|to(-)|6|ft}} |
3 to 6 feet (0.91–1.83 m) |
{{convert|3|to about|6|ft}} |
3 to about 6 feet (0.91 to about 1.83 m) |
{{convert|3|+/-|6|ft}} |
3 ± 6 feet (0.91 ± 1.83 m) |
{{convert|3|±|6|ft}} |
3 ± 6 feet (0.91 ± 1.83 m) |
{{convert|3|by|6|ft}} |
3 by 6 feet (0.91 by 1.83 m) |
{{convert|3|x|6|ft}} |
3 by 6 feet (0.91 m × 1.83 m) |
{{convert|3|xx|6|ft}} |
3 × 6 feet (0.91 × 1.83 m) |
{{convert|3|*|6|ft}} |
3×6 feet (0.91×1.83 m) |
{{convert|3|+|6|ft}} |
3 + 6 feet (0.91 + 1.83 m) |
{{convert|3|,|6|ft}} |
3, 6 feet (0.91, 1.83 m) |
{{convert|3|, and|6|ft}} |
3, and 6 feet (0.91, and 1.83 m) |
{{convert|3|, or|6|ft}} |
3, or 6 feet (0.91, or 1.83 m) |
The following ranges provide different output when units are abbreviated.
Convert | Output |
---|---|
{{convert|3|to(-)|6|ft|abbr=on}} |
3 to 6 ft (0.91–1.83 m) |
{{convert|3|x|6|ft|abbr=on}} |
3 ft × 6 ft (0.91 m × 1.83 m) |
Extra words
[ಬದಲಾಯಿಸಿ]Some options provide text that is included in the output, as shown in the following examples.
Convert | Output | Description |
---|---|---|
{{convert|4|ft||adj=mid|-long}} |
4-foot-long (1.2 m) | adjectival with mid-text between input and output |
{{convert|40|acre||adj=pre|planted}} |
40 planted acres (16 ha) | text before the input unit |
{{convert|4|m||disp=preunit|+ }} |
4+ metres (13+ ft) | same text before the input and output units |
{{convert|4|m||disp=preunit|+ |or more }} |
4+ metres (13 or more ft) | different text before the input and output units |
{{convert|20|impfloz||disp=x|, approximately }} |
20 imperial fluid ounces, approximately 570 ml; 19 US fl oz | text before the output (replaces the join) |
{{convert|100|m||disp=x|/day (|/day)}} |
100 metres/day (330 ft/day) | text before and after the output (replaces the join) |
In each of the above examples, "||
" provides an empty output unit which causes the default output to be used. An output unit, possibly empty, must be specified to avoid the template interpreting the extra text as the output unit. For example, using {{convert|4|ft|adj=mid|-long}}
has the same effect as using {{convert|4|ft|-long|adj=mid}}
, namely that an error would occur because "-long
" would be used as the output unit. The following illustrates the error (hover the mouse over the error text to see that the problem is due to "-long
" ) and how it may be avoided.
{{convert|4|ft|adj=mid|-long}}
→ 4-foot ([convert: unknown unit]){{convert|4|ft||adj=mid|-long}}
→ 4-foot-long (1.2 m){{convert|4|ft| |adj=mid|-long}}
→ 4-foot-long (1.2 m){{convert|4|ft|m|adj=mid|-long}}
→ 4-foot-long (1.2 m)
Displaying parts of a convert
[ಬದಲಾಯಿಸಿ]The following examples show how to display only some of the result of a convert.
Convert | Output | Description |
---|---|---|
{{convert|2|cuyd}} |
2 cubic yards (1.5 m3) | normal convert |
{{convert|2|cuyd|disp=unit}} |
cubic yards | input unit |
{{convert|2|cuyd|disp=unit|adj=on}} |
cubic-yard | input unit, adjectival (hyphenated) |
{{convert|2|cuyd|disp=unit2}} |
m3 | output unit (symbol) |
{{convert|2|cuyd|disp=unit2|abbr=off}} |
cubic metres | output unit (name) |
{{convert|2|cuyd|disp=unit2|abbr=off|sp=us}} |
cubic meters | output unit (name, US spelling) |
{{convert|2|cuyd|abbr=values}} |
2 (1.5) | input and output values |
{{convert|2|cuyd|disp=number}} |
1.5 | output value |
{{convert|2|cuyd|disp=out}} |
1.5 m3 | output value and unit |
{{convert|9+5/8|cuyd|cuyd|disp=number|frac=8}} |
9+5⁄8 | input value |
{{convert|9+5/8|cuyd|cuyd|abbr=off|disp=out|frac=8}} |
9+5⁄8 cubic yards | input value and unit |
Tables
[ಬದಲಾಯಿಸಿ]The following parameters are intended for use in tables.
Parameter | Description |
---|---|
|disp=table |
for a table cell with align="right"
|
|disp=tablecen |
for a table cell with align="center"
|
|sortable=on |
output a numeric hidden sort field for a sortable table |
The following shows the wikitext output by some example converts.
Convert | Resulting wikitext |
---|---|
{{convert|47.5|kg|lb}} |
47.5 kilograms (105 lb) |
{{convert|47.5|kg|lb|disp=table}} |
align="right"|47.5 |align="right"|105 |
{{convert|47.5|kg|lb|disp=tablecen}} |
align="center"|47.5 |align="center"|105 |
{{convert|47.5|kg|lb|sortable=on}} |
<span style="display:none">7001475000000000000</span>47.5 kilograms (105 lb) |
Fixed table
[ಬದಲಾಯಿಸಿ]This wikitext:
{|class="wikitable" ! align=right, rowspan="2" | !colspan="2"| Length !colspan="2"| Weight |- style="vertical-align:bottom;" !metres !!ft in !!kg !!lb |- ! Lorem ipsum | {{convert|28.1|m|ftin|disp=table}} | {{convert|47.5|kg|lb|disp=table}} |- ! Dolor sit amet | {{convert|9.9|m|ftin|disp=table}} | {{convert|74.1|kg|lb|disp=table}} |- ! Consectetur | {{convert|38.2|m|ftin|disp=table}} | {{convert|31.5|kg|lb|disp=table}} |- ! Adipisicing elit | {{convert|18.7|m|ftin|disp=table}} | {{convert|52.7|kg|lb|disp=table}} |}
produces this table:
Length | Weight | |||
---|---|---|---|---|
metres | ft in | kg | lb | |
Lorem ipsum | 28.1 | 92 ft 2 in | 47.5 | 105 |
Dolor sit amet | 9.9 | 32 ft 6 in | 74.1 | 163 |
Consectetur | 38.2 | 125 ft 4 in | 31.5 | 69 |
Adipisicing elit | 18.7 | 61 ft 4 in | 52.7 | 116 |
Sortable table
[ಬದಲಾಯಿಸಿ]This wikitext:
{|class="wikitable sortable" ! align=right, rowspan="2" | !colspan="2"| Length !colspan="2"| Weight |- style="vertical-align:bottom;" !metres !!ft in !!kg !!lb |- ! Lorem ipsum | {{convert|28.1|m|ftin|disp=table|sortable=on}} | {{convert|47.5|kg|lb|disp=table|sortable=on}} |- ! Dolor sit amet | {{convert|9.9|m|ftin|disp=table|sortable=on}} | {{convert|74.1|kg|lb|disp=table|sortable=on}} |- ! Consectetur | {{convert|38.2|m|ftin|disp=table|sortable=on}} | {{convert|31.5|kg|lb|disp=table|sortable=on}} |- ! Adipisicing elit | {{convert|18.7|m|ftin|disp=table|sortable=on}} | {{convert|52.7|kg|lb|disp=table|sortable=on}} |}
produces this table:
Length | Weight | |||
---|---|---|---|---|
metres | ft in | kg | lb | |
Lorem ipsum | 28.1 | 92 ft 2 in | 47.5 | 105 |
Dolor sit amet | 9.9 | 32 ft 6 in | 74.1 | 163 |
Consectetur | 38.2 | 125 ft 4 in | 31.5 | 69 |
Adipisicing elit | 18.7 | 61 ft 4 in | 52.7 | 116 |
Options
[ಬದಲಾಯಿಸಿ]The following options are available.
Option | Description |
---|---|
|abbr=comma |
No comma in input or output numbers. |
|abbr=in |
Use symbol for LHS unit. |
|abbr=off |
Use name for all units. |
|abbr=on |
Use symbol for all units. |
|abbr=out |
Use symbol for RHS unit (default). |
|abbr=values |
Show only input and output numbers, not units. |
|abbr=~ |
Show input unit symbol as well as name. |
|adj=1 |
Unit name is singular when value is 1 or less, but not zero. |
|adj=flip |
Reverse order of input/output. |
|adj=j |
Join value and unit name using " " instead of a space. |
|adj=mid |
Same as adj=on with user-specified text after input unit.
|
|adj=nocomma |
No comma in input or output numbers. |
|adj=on |
Unit name is singular and hyphenated. |
|adj=pre |
User-specified text before input unit. |
|adj=ri1 |
Round input with precision 1. |
|adj=ri2 |
Round input with precision 2. |
|adj=ri3 |
Round input with precision 3. |
|disp=/ |
Join input/output using "/". |
|disp=2 |
Display only output value and symbol/name. |
|disp=5 |
Round output value to nearest 5. |
|disp=b |
Join input/output using "(...)". |
|disp=br |
Join input/output using "<br/>". |
|disp=comma |
Join input/output using ",". |
|disp=flip |
Reverse order of input/output. |
|disp=flip5 |
Same as disp=flip with disp=5 .
|
|disp=nocomma |
No comma in input or output numbers. |
|disp=number |
Display output value only. |
|disp=or |
Join input/output using "or". |
|disp=out |
Same as disp=2 .
|
|disp=output number only |
Same as disp=number .
|
|disp=output only |
Same as disp=2 .
|
|disp=preunit |
User-specified text before input and output units. |
|disp=s |
Same as disp=/ .
|
|disp=slash |
Same as disp=/ .
|
|disp=sqbr |
Join input/output using "[...]". |
|disp=table |
Output is suitable for a table cell with align="right". |
|disp=tablecen |
Output is suitable for a table cell with align="center". |
|disp=u2 |
Display output symbol/name (not input; not output value). |
|disp=unit |
Display input symbol/name (not output; not input value). |
|disp=unit2 |
Same as disp=u2 .
|
|disp=x |
Join input/output using user-specified text. |
|comma=5 |
Only use comma grouping if 5 or more digits. |
|comma=gaps |
Use gaps, not comma, to separate groups of digits. |
|comma=gaps5 |
Use gaps, but only if 5 or more digits. |
|debug=yes |
Make the normally hidden sort key visible. |
|lk=in |
Link LHS unit name or symbol. |
|lk=on |
Link all unit names or symbols (but not twice for the same unit). |
|lk=out |
Link RHS unit name or symbol. |
|sigfig=N |
Round output value to N significant figures (N is a positive integer). |
|sortable=on |
Output numeric hidden sort field for use in a sortable table. |
|sp=us |
Use U.S. spelling (like "meter" instead of default "metre"). |
|spell=in |
Spell input value in words. |
|spell=In |
Spell input value in words with first letter uppercase. |
Examples of number grouping:
{{convert|1234|m|ft}}
→ 1,234 metres (4,049 ft){{convert|1234|m|ft|comma=5}}
→ 1234 metres (4049 ft){{convert|12345|m|ft|comma=5}}
→ 12,345 metres (40,502 ft){{convert|1234|m|ft|comma=gaps}}
→ 1234 metres (4049 ft){{convert|1234|m|ft|comma=gaps5}}
→ 1,234 metres (4,049 ft)*{{convert|123,456,789|m|ft|comma=gaps5}}
→ 123,456,789 metres (405,041,959 ft)*
Examples of spelling input values:
{{convert|10|mi|km|spell=in}}
→ ten miles (16 km){{convert|10|mi|km|spell=In}}
→ Ten miles (16 km){{convert|1/3|mi|km|adj=on|spell=in}}
→ one-third-mile (0.54 km)
Differences from templates previously used
[ಬದಲಾಯಿಸಿ]Before December 2013, {{Convert}}
was implemented by a series of templates, not a module. Following are some differences between the new and old convert implementations.
- Using
{{subst:convert|...}}
works with the module. - The module checks unit types and displays an error message if a mismatch occurs.
- The module does not have a problem with template loops, and will allow pointless conversions like
{{convert|123|m|m}}
. - Ranges and all options, including
disp=flip
, should work with all units. - Scaled units like
e6USgal
are not predefined. With some exceptions, all units accept prefixes e3, e6, e9, e12, e15. - The module uses an empty unit code rather than
0
to mean "use the default unit", as in{{convert|4|ft||adj=mid|-long}}
(it is also possible to use{{convert|4|ft|0|adj=mid|-long}}
, but that sets the output precision to zero). - The functionality of
{{convert/3}}
and{{convert/4}}
is handled by the module, except that the module does not support arbitrary text to separate items in a range. Furthermore, the predefined separator words such as "by" and "to" behave in exactly the same manner as they do for standard converts, so a conversion like{{convert/3|2|x|4|x|6|m|ft}}
would need to use the new*
separator rather thanx
to produce exactly the same output with the module.
Limitations
[ಬದಲಾಯಿಸಿ]This is a list of features that the module may be expected to support, but which will not work.
Composite units cannot be used in a range:
{{convert|2|ft|6|in|to|3|ft|9|in}}
→ 2 feet 6 inches ([convert: unknown unit])*
If an expression is wanted, it has to use {{#expr:...}}
:
{{convert|3*12|ft|mm}}
→ 3×12 feet (910×3,660 mm){{convert|{{#expr:3*12}}|ft|mm}}
→ 36 feet (11,000 mm)