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| 10.1 Functions and Variables for Floating Point |
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Bigfloat version of the factorial (shifted gamma) function. The second argument is how many digits to retain and return, it's a good idea to request a couple of extra.
Categories: Gamma and factorial functions · Numerical evaluation
Default value: 10^8
algepsilon is used by algsys.
Categories: Algebraic equations
Converts all numbers and functions of numbers in expr to bigfloat numbers.
The number of significant digits in the resulting bigfloats is specified by the global variable fpprec.
When float2bf is false a warning message is printed when
a floating point number is converted into a bigfloat number (since
this may lead to loss of precision).
Categories: Numerical evaluation
Returns true if expr is a bigfloat number, otherwise false.
Categories: Numerical evaluation · Predicate functions
bfpsi is the polygamma function of real argument z and integer order n.
bfpsi0 is the digamma function.
bfpsi0 (z, fpprec) is equivalent to bfpsi (0, z, fpprec).
These functions return bigfloat values. fpprec is the bigfloat precision of the return value.
Categories: Gamma and factorial functions · Numerical evaluation
Default value: false
bftorat controls the conversion of bfloats to
rational numbers.
When bftorat is false,
ratepsilon will be used to
control the conversion (this results in relatively small rational
numbers).
When bftorat is true,
the rational number generated will
accurately represent the bfloat.
Categories: Numerical evaluation
Default value: true
bftrunc causes trailing zeroes in non-zero bigfloat
numbers not to be displayed. Thus, if bftrunc is false, bfloat (1)
displays as 1.000000000000000B0. Otherwise, this is displayed as
1.0B0.
Categories: Numerical evaluation
Complex bigfloat factorial.
load ("bffac") loads this function.
Categories: Gamma and factorial functions · Complex variables · Numerical evaluation
Converts integers, rational numbers and bigfloats in expr
to floating point numbers. It is also an evflag, float causes
non-integral rational numbers and bigfloat numbers to be converted to
floating point.
Categories: Numerical evaluation · Evaluation flags
Default value: true
When float2bf is false, a warning message is printed when
a floating point number is converted into a bigfloat number (since
this may lead to loss of precision). The default value is true.
Categories: Numerical evaluation
Returns true if expr is a floating point number, otherwise false.
Categories: Numerical evaluation · Predicate functions
Default value: 16
fpprec is the number of significant digits for arithmetic on bigfloat numbers.
fpprec does not affect computations on ordinary floating point numbers.
See also bfloat and fpprintprec.
Categories: Numerical evaluation
Default value: 0
fpprintprec is the number of digits to print when printing an ordinary float or bigfloat number.
For ordinary floating point numbers,
when fpprintprec has a value between 2 and 16 (inclusive),
the number of digits printed is equal to fpprintprec.
Otherwise, fpprintprec is 0, or greater than 16,
and the number of digits printed is 16.
For bigfloat numbers,
when fpprintprec has a value between 2 and fpprec (inclusive),
the number of digits printed is equal to fpprintprec.
Otherwise, fpprintprec is 0, or greater than fpprec,
and the number of digits printed is equal to fpprec.
fpprintprec cannot be 1.
Categories: Numerical evaluation · Display flags and variables
Default value: false
The option variable numer_pbranch controls the numerical evaluation of
the power of a negative integer, rational, or floating point number. When
numer_pbranch is true and the exponent is a floating point number
or the option variable numer is true too, Maxima evaluates
the numerical result using the principal branch. Otherwise a simplified, but not
an evaluated result is returned.
Examples:
(%i1) (-2)^0.75; (%o1) (-2)^0.75 (%i2) (-2)^0.75,numer_pbranch:true; (%o2) 1.189207115002721*%i-1.189207115002721 (%i3) (-2)^(3/4); (%o3) (-1)^(3/4)*2^(3/4) (%i4) (-2)^(3/4),numer; (%o4) 1.681792830507429*(-1)^0.75 (%i5) (-2)^(3/4),numer,numer_pbranch:true; (%o5) 1.189207115002721*%i-1.189207115002721
Categories: Numerical evaluation
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This document was generated by Robert Dodier on January, 16 2011 using texi2html 1.76.