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$MinMachineNumber

Status: Stable

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

Description

$MinMachineNumber
    gives the smallest positive machine-precision number that can
    be represented in normalized form on this computer system.

Equals the platform's DBL_MIN.

Examples

All examples below are verified against the current Mathilda build.

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}

In[4]:= MachineNumberQ[$MaxNumber]   (* MPFR, not machine *)
Out[4]= False

Implementation notes

A Protected OwnValue set in system_constants_init (src/core.c) to expr_new_real(DBL_MIN), the smallest positive normalized IEEE 754 double.

Attributes: Protected.

Implementation status

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

References