PaddedForm
PaddedForm[expr,n]
prints with all numbers in expr padded to leave room for a total of n digits.
PaddedForm[expr,{n,f}]
prints with approximate real numbers having exactly f digits to the right of the decimal point.
Details and Options
- By default, PaddedForm pads with spaces on the left to leave room for n digits.
- PaddedForm pads with zeros on the right in approximate real numbers.
- The length n specified in PaddedForm counts only digits, and not signs, breaks between digits, and so on.
- PaddedForm has the same options as NumberForm, with the following changes: [List of all options]
-
NumberPadding {" ","0"} strings to use for left and right padding - You can use PaddedForm to align columns of numbers.
- The typeset form of PaddedForm[expr] is interpreted the same as expr when used in input. »
- When an input evaluates to PaddedForm[expr], PaddedForm does not appear in the output. »
List of all options
Examples
open all close allBasic Examples (2)
Scope (5)
The default display for a machine number:
nE = N[E]Display more digits than the default:
PaddedForm[nE, 10]PaddedForm[nE, 3]PaddedForm[RandomComplex[], 2]Format a high-precision number:
N[Pi, 50]PaddedForm[%, 20]Change the display of numbers in a vector:
RandomReal[10, 5]PaddedForm[%, 4]RandomReal[10, {3, 3}]PaddedForm[%, 2]Change the display of inexact numbers in a mixed expression:
1 / 3.Sin[x / 7.]PaddedForm[%, 3]Options (11)
DigitBlock (2)
ExponentFunction (1)
Compute approximate powers of :
p = N[E ^ Range[10, 50, 10]]Restrict exponents to multiples of 3:
PaddedForm[p, ExponentFunction -> (3Quotient[#, 3]&)]Include exponents only for powers greater than 10:
PaddedForm[p, ExponentFunction -> (If[-10 < # < 10, Null, #]&)]ExponentStep (1)
NumberFormat (1)
Display numbers in a Fortran‐like form:
v = {8. ^ 5, 11. ^ 7, 13. ^ 9}PaddedForm[v, NumberFormat -> (Row[{#1, "e", #3}]&)]PaddedForm[v, NumberFormat -> (#1&)]Display the exponents after converting to scientific form:
PaddedForm[v, NumberFormat -> (#3&), ExponentFunction -> (#&)]NumberMultiplier (1)
NumberPadding (1)
PaddedForm[{-6.7, 6.888, 6.99999}, 4]PaddedForm[{-6.7, 6.888, 6.99999}, {4, 3}, NumberPadding -> {"", " "}]PaddedForm[{-6.7, 6.888, 6.99999}, {4, 3}, NumberPadding -> {"", "0"}]NumberPoint (1)
NumberSeparator (1)
NumberSigns (1)
The default includes negative signs but not positive signs:
PaddedForm[{-1 / 3., 2 / 3.}, 5]Include positive signs as well:
PaddedForm[{-1 / 3., 2 / 3.}, 5, NumberSigns -> {"-", "+"}]PaddedForm[{-1 / 3., 2 / 3.}, 5, NumberSigns -> {"minus ", "plus "}]Applications (1)
Properties & Relations (5)
PaddedForm and NumberForm use the same mantissas and exponents by default:
PaddedForm[N[E ^ Range[10, 20, 2]], 10]NumberForm[N[E ^ Range[10, 20, 2]], 10]ScientificForm has a single digit to the left of the decimal:
ScientificForm[N[E ^ Range[10, 20, 2]], 10]EngineeringForm uses exponents that are multiples of 3:
EngineeringForm[N[E ^ Range[10, 20, 2]], 10]AccountingForm does not have exponents:
AccountingForm[N[E ^ Range[10, 20, 2]], 10]b2 = BaseForm[123.45, 2]Represent the number precise to 3 decimal digits in base 2:
PaddedForm[b2, 3]Reconstruct the base-10 number precise to 3 digits:
(2^^1.1110111)2 ^ 6Change the display of numbers in MatrixForm or TableForm:
m = RandomReal[10 ^ 10, {3, 2}];{MatrixForm[m], PaddedForm[MatrixForm[m], 3]}The typeset form of PaddedForm[expr,n] is interpreted the same as expr when used in input:
{PaddedForm[1.23, 2]}Copy the output and paste it into an input cell. The 1.2 is interpreted as 1.23:
{1.23}When an input evaluates to PaddedForm[expr,n], PaddedForm does not appear in the output:
PaddedForm[1.23, 2]Out is assigned the value 1.23, not PaddedForm[1.23,2]:
%Possible Issues (3)
Placeholder zeros may be needed if the requested precision is small:
PaddedForm[12345.6, 3]
By default, room is set aside for the larger of the two number signs:
PaddedForm[Column[{3.24, -5.19}], 3]PaddedForm[Column[{3.24, -5.19}], 3, NumberPadding -> ""]Even when an output omits PaddedForm from the top level, it is not stripped from subexpressions:
e = PaddedForm[1.23, 2]The output does not have PaddedForm in it:
%However, the variable e does have PaddedForm in it, which may affect subsequent evaluations:
FullForm[e]The product is not evaluated due to the intervening PaddedForm:
10 * eAssign variables first and then apply PaddedForm to the result to maintain computability:
PaddedForm[f = 1.23, 2]10 * fText
Wolfram Research (1991), PaddedForm, Wolfram Language function, https://reference.wolfram.com/language/ref/PaddedForm.html.
CMS
Wolfram Language. 1991. "PaddedForm." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PaddedForm.html.
APA
Wolfram Language. (1991). PaddedForm. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PaddedForm.html