Constants

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Constants
The form of a numeric constant defined and illustrated in Part I is elaborated by the use of further letters, as in`2r3` for two-thirds,`2p1` for two π, and`2e3p1` for`2000` π. The complete scheme of numeric constants obeys the following hierarchy:

`.` | The decimal point is obeyed first
`_` | The negative sign is obeyed next
`e` | Exponential (scientific) notation
`ad ar j` | Complex (magnitude and angle) in degrees or radians; Complex number
`p x` | Numbers based on pi (`o.1`) and on Euler's number (the exponential`^1`)
`b` | Base value (using`a` to`z` for`10` to`35`)

Moreover, digits with a trailing`x` denote an extended precision integer, and digits followed by an`r` followed by further digits denote a rational number. See Section II G.
For example,`2.3` denotes two and three-tenths and`_2.3` denotes its negation; but`_2j3` denotes a complex number with real part`_2` and imaginary part`3` ,`` not the negation of the complex number`2j3` .`` Furthermore, symbols at the same level of the hierarchy cannot be used together:`1p2x3` is an ill-formed number.
The following lists illustrate the main points:

       2.3e2 2.3e_2 2j3
    230 0.023 2j3

       2p1 1p_1
    6.28319 0.31831

       1x2 2x1 1x_1
    7.38906 5.43656 0.367879

       2e2j_2e2 2e2j2p1 2ad45 2ar0.785398
    200j_200 628.319j6.28319 1.41421j1.41421 1.41421j1.41421

       16b1f 10b23 _10b23 1e2b23 2b111.111
    31 23 _17 203 7.875

Negative integers following`p` and`x` indicate the use of reciprocals. For example,`2p_2` is two divided by π squared, and`2x_2` is two divided by the square of Euler's number.

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