$MaxMachineNumber¶

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description¶

$MaxMachineNumber

gives the largest machine-precision number that can be used on this computer system.

Notes

Equals the platform's DBL\_MAX.

Examples (5)¶

Every input below was run against the current Mathilda build and its output recorded.

Basic examples (4)¶

In[1]:= $MachinePrecision
Out[1]= 15.9546

In[2]:= $MachineEpsilon
Out[2]= 2.22045e-16

In[3]:= {$MinMachineNumber, $MaxMachineNumber}
Out[3]= {2.22507e-308, 1.79769e+308}

MPFR, not machine

In[4]:= MachineNumberQ[$MaxNumber]
Out[4]= False

Applications (1)¶

The largest finite IEEE 754 double, DBL_MAX

In[5]:= $MaxMachineNumber
Out[5]= 1.79769e+308

Implementation notes¶

A Protected OwnValue set in system_constants_init (src/core.c) to expr_new_real(DBL_MAX), the largest finite IEEE 754 double.

Attributes: Protected.

References¶

Source: src/core.c
Specification: docs/spec/builtins/expression-information.md

Notes & additional examples¶

Notes¶

$MaxMachineNumber is a read-only Protected OwnValue equal to <float.h> DBL_MAX, the largest finite machine double (≈ 1.79769×10³⁰⁸). A machine-precision computation that would exceed it overflows; the arbitrary-precision ceiling $MaxNumber is larger.

The value is a fixed machine constant on every IEEE 754 platform.