"Real" (Interpreter Type)

Real number in a standard format.

Details

"Real" can be used in Interpreter and related constructs, including deployed smart form fields.
Use of "Real" does not require connectivity to the Wolfram Cloud.

Allowed Forms

	1234	integers
	-1234	negative integers
	12.34	real numbers
	12.45e45	numbers in scientific notation
	1.2E-5	numbers in scientific notation
	1.2345`2	numbers with a given Precision
	1.2345``4	numbers with a given Accuracy
	12,456	integers with separators
	12,345.67	real numbers with separators

Restriction Specifications

	Restricted["Real",{{choices₁,…}}]	one among choices
	Restricted["Real",max]	a real below max
	Restricted["Real",{min,max}]	a real between min and max
	Restricted["Real",{min,max,s}]	a real between min and max, with step s
	Restricted["Real", Automatic, n]	a real with n-digit precision

Options

The following options can be used:

	DigitBlock	Infinity	number of digits between breaks
	NumberPoint	"."	decimal point string
	NumberSeparator	{",", " "}	string to insert at breaks between blocks
	NumberSigns	{"-",""}	strings to use for signs of negative and positive numbers

Interpretation

"Real" yields a Real.

Examples

Basic Examples (3)Summary of the most common use cases

Interpret real numbers:

In[1]:=1

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-rae2nv

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-p83p1r

Out[2]=2

Restrict in a range:

In[1]:=1

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-2df5dt

Out[1]=1

Set the precision:

In[1]:=1

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-f2417z

Out[1]=1

Otherwise, $MachinePrecision is implied:

In[2]:=2

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-tpungo

Out[2]=2

Use a different number point and/or block separator:

In[1]:=1

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-shf6uk

Out[1]=1

Set the precision:

In[1]:=1

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-i7ppzr

Out[1]=1

Otherwise, $MachinePrecision is implied:

In[2]:=2

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-im4lu3

Out[2]=2

When the number contains a Precision or Accuracy, and a precision restriction is also specified, the lower of the two will be applied:

In[1]:=1

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-rckk1i

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0yk7r3ty6vyeaty8rf-qohe8n

Out[2]=2

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