manual:chapter6:constants:cmd_piconst [newRPL User Manual]

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Synopsis

Push the symbolic constant 'π' on the stack

Stack Diagram

Input Stack		Output Stack
	→	'π'
Level 1	→	Level 1

Legend

Legend	Object type
O	Any object
I	Integer number
R	Real number
#	Binary number
Num	Scalar (Integer, Real or Binary number)
Z	Complex number
U	Unit
∡	Angle
A	Symbolic expression
C	Symbolic constant
V	Vector
M	Matrix
S	String
1/0	Any expression evaluating to True or False
G	Grob
F	Font
D	Binary data container
T	Tag object
L	List
cL	Case list
N	Variable name / Identifier
Dir	Directory
pDir	Packed Directory
P	Program
Lib	Library

Type	Analytic Function
Parallel list processing	Group 1
Affected by flags	None

Description

The π function pushes on the stack a symbolic representation of the constant $π$.

Application of the →NUM operator returns its closest approximation to 2000-digits accuracy, irrespective of the numeric precision defined by SETPREC. This is done to ensure maximum accuracy.

Compatibility

This command is only partially compatible with userRPL.

In particular:

userRPL returns the closest approximation of $π$ to 12-digits accuracy.

Usage

The following program

« 6 SETPREC
  π →NUM
  DUP
  1 *
»

will result in

2:                3.14159265359.
1:                      3.14159.
……………………………………………………………………………………

Related Commands

Overloadable operators 26 3 NEW

Operator	Short Description
Evaluation operators:
EVAL1	Evaluate one level	NEW
EVAL	Evaluate full depth
XEQ	Execute	NEW
→NUM	Compute numeric result
Test operators:
==	Equality test
≠	Not equal test
<	Less than test
≤	Less than or equal test
>	Greater than test
≥	Greater than or equal test
CMP	Comparison test (<0 if A<B, 0 if A==B, >0 if A>B)	NEW
SAME	Comparison test, true if objects are the same
ISTRUE	True test	NEW
Logical operators:
AND	Logical AND
OR	Logical OR
XOR	Logical XOR
NOT	Logical NOT
Mathematic operators:
+	Addition
-	Subtraction
*	Multiplication
/	Division
^	Power
XROOT	Root
INV	Inverse
NEG	Negate/change sign
ABS	Magnitude or absolute value