NAME
PDL::Ops - Fundamental mathematical operators
DESCRIPTION
This module provides the functions used by PDL to overload the basic mathematical operators (+ - / *
etc.) and functions (sin sqrt
etc.)
It also includes the function log10
, which should be a perl function so that we can overload it!
Matrix multiplication (the operator x
) is handled by the module PDL::Primitive.
SYNOPSIS
none
FUNCTIONS
plus
Signature: (a(); b(); [o]c(); int swap)
add two piddles
$c = plus $a, $b, 0; # explicit call with trailing 0
$c = $a + $b; # overloaded call
$a->inplace->plus($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary +
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
plus processes bad values. The state of the bad-value flag of the output piddles is unknown.
mult
Signature: (a(); b(); [o]c(); int swap)
multiply two piddles
$c = mult $a, $b, 0; # explicit call with trailing 0
$c = $a * $b; # overloaded call
$a->inplace->mult($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary *
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
mult processes bad values. The state of the bad-value flag of the output piddles is unknown.
minus
Signature: (a(); b(); [o]c(); int swap)
subtract two piddles
$c = minus $a, $b, 0; # explicit call with trailing 0
$c = $a - $b; # overloaded call
$a->inplace->minus($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary -
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
minus processes bad values. The state of the bad-value flag of the output piddles is unknown.
divide
Signature: (a(); b(); [o]c(); int swap)
divide two piddles
$c = divide $a, $b, 0; # explicit call with trailing 0
$c = $a / $b; # overloaded call
$a->inplace->divide($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary /
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
divide processes bad values. The state of the bad-value flag of the output piddles is unknown.
gt
Signature: (a(); b(); [o]c(); int swap)
the binary > (greater than) operation
$c = gt $a, $b, 0; # explicit call with trailing 0
$c = $a > $b; # overloaded call
$a->inplace->gt($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary >
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
gt processes bad values. The state of the bad-value flag of the output piddles is unknown.
lt
Signature: (a(); b(); [o]c(); int swap)
the binary < (less than) operation
$c = lt $a, $b, 0; # explicit call with trailing 0
$c = $a < $b; # overloaded call
$a->inplace->lt($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary <
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
lt processes bad values. The state of the bad-value flag of the output piddles is unknown.
le
Signature: (a(); b(); [o]c(); int swap)
the binary <= (less equal) operation
$c = le $a, $b, 0; # explicit call with trailing 0
$c = $a <= $b; # overloaded call
$a->inplace->le($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary <=
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
le processes bad values. The state of the bad-value flag of the output piddles is unknown.
ge
Signature: (a(); b(); [o]c(); int swap)
the binary >= (greater equal) operation
$c = ge $a, $b, 0; # explicit call with trailing 0
$c = $a >= $b; # overloaded call
$a->inplace->ge($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary >=
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
ge processes bad values. The state of the bad-value flag of the output piddles is unknown.
eq
Signature: (a(); b(); [o]c(); int swap)
binary equal to operation (==
)
$c = eq $a, $b, 0; # explicit call with trailing 0
$c = $a == $b; # overloaded call
$a->inplace->eq($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary ==
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
eq processes bad values. The state of the bad-value flag of the output piddles is unknown.
ne
Signature: (a(); b(); [o]c(); int swap)
binary not equal to operation (!=
)
$c = ne $a, $b, 0; # explicit call with trailing 0
$c = $a != $b; # overloaded call
$a->inplace->ne($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary !=
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
ne processes bad values. The state of the bad-value flag of the output piddles is unknown.
shiftleft
Signature: (a(); b(); [o]c(); int swap)
leftshift $a
by $b
$c = shiftleft $a, $b, 0; # explicit call with trailing 0
$c = $a << $b; # overloaded call
$a->inplace->shiftleft($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary <<
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
shiftleft processes bad values. The state of the bad-value flag of the output piddles is unknown.
shiftright
Signature: (a(); b(); [o]c(); int swap)
rightshift $a
by $b
$c = shiftright $a, $b, 0; # explicit call with trailing 0
$c = $a >> $b; # overloaded call
$a->inplace->shiftright($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary >>
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
shiftright processes bad values. The state of the bad-value flag of the output piddles is unknown.
or2
Signature: (a(); b(); [o]c(); int swap)
binary or of two piddles
$c = or2 $a, $b, 0; # explicit call with trailing 0
$c = $a | $b; # overloaded call
$a->inplace->or2($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary |
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
or2 processes bad values. The state of the bad-value flag of the output piddles is unknown.
and2
Signature: (a(); b(); [o]c(); int swap)
binary and of two piddles
$c = and2 $a, $b, 0; # explicit call with trailing 0
$c = $a & $b; # overloaded call
$a->inplace->and2($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary &
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
and2 processes bad values. The state of the bad-value flag of the output piddles is unknown.
xor
Signature: (a(); b(); [o]c(); int swap)
binary exclusive or of two piddles
$c = xor $a, $b, 0; # explicit call with trailing 0
$c = $a ^ $b; # overloaded call
$a->inplace->xor($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary ^
operator. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
xor processes bad values. The state of the bad-value flag of the output piddles is unknown.
bitnot
Signature: (a(); [o]b())
unary bit negation
$b = ~ $a;
$a->inplace->bitnot; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary ~
operator/function.
bitnot processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
power
Signature: (a(); b(); [o]c(); int swap)
raise piddle $a
to the power $b
$c = $a->power($b,0); # explicit function call
$c = $a ** $b; # overloaded use
$a->inplace->power($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary **
function. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
power processes bad values. The state of the bad-value flag of the output piddles is unknown.
atan2
Signature: (a(); b(); [o]c(); int swap)
elementwise atan2
of two piddles
$c = $a->atan2($b,0); # explicit function call
$c = atan2 $a, $b; # overloaded use
$a->inplace->atan2($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary atan2
function. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
atan2 processes bad values. The state of the bad-value flag of the output piddles is unknown.
modulo
Signature: (a(); b(); [o]c(); int swap)
elementwise modulo
operation
$c = $a->modulo($b,0); # explicit function call
$c = $a % $b; # overloaded use
$a->inplace->modulo($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary %
function. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
modulo processes bad values. The state of the bad-value flag of the output piddles is unknown.
spaceship
Signature: (a(); b(); [o]c(); int swap)
elementwise "<=>" operation
$c = $a->spaceship($b,0); # explicit function call
$c = $a <=> $b; # overloaded use
$a->inplace->spaceship($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the binary <=>
function. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
spaceship processes bad values. The state of the bad-value flag of the output piddles is unknown.
sqrt
Signature: (a(); [o]b())
elementwise square root
$b = sqrt $a;
$a->inplace->sqrt; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary sqrt
operator/function.
sqrt processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
abs
Signature: (a(); [o]b())
elementwise absolute value
$b = abs $a;
$a->inplace->abs; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary abs
operator/function.
abs processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
sin
Signature: (a(); [o]b())
the sin function
$b = sin $a;
$a->inplace->sin; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary sin
operator/function.
sin processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
cos
Signature: (a(); [o]b())
the cos function
$b = cos $a;
$a->inplace->cos; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary cos
operator/function.
cos processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
not
Signature: (a(); [o]b())
the elementwise not operation
$b = ! $a;
$a->inplace->not; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary !
operator/function.
not processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
exp
Signature: (a(); [o]b())
the exponential function
$b = exp $a;
$a->inplace->exp; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary exp
operator/function.
exp processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
log
Signature: (a(); [o]b())
the natural logarithm
$b = log $a;
$a->inplace->log; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary log
operator/function.
log processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
log10
Signature: (a(); [o]b())
the base 10 logarithm
$b = log10 $a;
$a->inplace->log10; # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. This function is used to overload the unary log10
operator/function.
log10 processes bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
assgn
Signature: (a(); [o]b())
Plain numerical assignment. This is used to implement the ".=" operator
assgn does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
ipow
Signature: (a(); b(); [o] ans())
raise piddle $a
to integer power $b
$c = $a->ipow($b,0); # explicit function call
$c = ipow $a, $b;
$a->inplace->ipow($b,0); # modify $a inplace
It can be made to work inplace with the $a->inplace
syntax. Note that when calling this function explicitly you need to supply a third argument that should generally be zero (see first example). This restriction is expected to go away in future releases.
Algorithm from Wikipedia
ipow does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
AUTHOR
Tuomas J. Lukka (lukka@fas.harvard.edu), Karl Glazebrook (kgb@aaoepp.aao.gov.au), Doug Hunt (dhunt@ucar.edu), Christian Soeller (c.soeller@auckland.ac.nz), Doug Burke (burke@ifa.hawaii.edu), and Craig DeForest (deforest@boulder.swri.edu).