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Numeric Prefix Arguments
========================

Many Calculator commands use numeric prefix arguments.  Some, such as
`d s' (`calc-sci-notation'), set a parameter to the value of the
prefix argument or use a default if you don't use a prefix.  Others
(like `d f' (`calc-fix-notation')) require an argument and prompt for
a number if you don't give one as a prefix.

As a rule, stack-manipulation commands accept a numeric prefix
argument which is interpreted as an index into the stack.  A positive
argument operates on the top N stack entries; a negative argument
operates on the Nth stack entry in isolation; and a zero argument
operates on the entire stack.

Most commands that perform computations (such as the arithmetic and
scientific functions) accept a numeric prefix argument that allows the
operation to be applied across many stack elements.  For unary operations
(that is, functions of one argument like absolute value or complex
conjugate), a positive prefix argument applies that function to the top
N stack entries simultaneously, and a negative argument applies it
to the Nth stack entry only.  For binary operations (functions of
two arguments like addition, GCD, and vector concatenation), a positive
prefix argument "reduces" the function across the top N
stack elements (for example, `C-u 5 +' sums the top 5 stack entries;
See Reducing and Mapping), and a negative argument maps the next-to-top
N stack elements with the top stack element as a second argument (for
example, `7 c-u -5 +' adds 7 to the top 5 stack elements).  This
feature is not available for operations which use the numeric prefix
argument for some other purpose.

Numeric prefixes are specified the same way as always in Emacs: Press
a sequence of META-digits, or press ESC followed by digits, or press
`C-u' followed by digits.  Some commands treat plain `C-u' (without
any actual digits) specially.

You can type `~' (`calc-num-prefix') to pop an integer from the top of
the stack and enter it as the numeric prefix for the next command.
For example, `C-u 16 p' sets the precision to 16 digits; an alternate
(silly) way to do this would be `2 RET 4 ^ ~ p', i.e., compute 2 to
the fourth power and set the precision to that value.

Conversely, if you have typed a numeric prefix argument the `~' key
pushes it onto the stack in the form of an integer.