C++ Native Functions: spl.math

SPL standard and specialized toolkits > spl 1.3.0 > spl.math > C++ Native Functions

This page documents native functions that can be invoked from SPL, including the SPL interfaces that can be used to invoke each of the native functions.

Functions

public float64 PI()

Value of PI.

Returns

PI value.

<floatingpoint T> public T abs (T f)

Compute the absolute value.

Parameters

f

Input value.

Returns

Absolute value of f.

<integral T> public T abs (T f)

Compute the absolute value.

Parameters

f

Input value.

Returns

Absolute value of f.

public float32 abs (complex32 f)

Compute the absolute value.

Parameters

f

Input value.

Returns

Absolute value of f.

public float64 abs (complex64 f)

Compute the absolute value.

Parameters

f

Input value.

Returns

Absolute value of f.

<numeric T> public list<T> abs (list<T> f)

Compute the absolute value of a list.

Parameters

f

List of input values.

Returns

List of the absolute values of the elements of f.

<numeric T>[N] public list<T>[N] abs (list<T>[N] f)

Compute the absolute value of a list.

Parameters

f

List of input values.

Returns

List of the absolute values of the elements of f.

<float T> public T acos (T f)

Compute the arc-cosine.

Parameters

f

Input value.

Returns

Arccosine of the input value.

<float T> public T asin (T f)

Compute the arcsine.

Parameters

f

Input value.

Returns

Arcsine of the input value.

<float T> public T atan (T f)

Compute the arc-tangent.

Parameters

f

Input value.

Returns

Arctangent of the input value.

<numeric T> public T avg (list<T> vals)

Compute the average of a list.

Parameters

vals

List of input values.

Returns

Average of the input values.

<numeric T>[N] public T avg (list<T>[N] vals)

Compute the average of a list.

Parameters

vals

List of input values.

Returns

Average of the input values.

<float T> public T ceil (T f)

Compute the smallest integer value equal to or greater than a value.

Parameters

f

Input value.

Returns

Smallest integer >= f.

public decimal32 ceil (decimal32 f)

Compute the smallest integer value equal to or greater than a value.

Parameters

f

Input value.

Returns

Smallest integer >= f.

public decimal64 ceil (decimal64 f)

Compute the smallest integer value equal to or greater than a value.

Parameters

f

Input value.

Returns

Smallest integer >= f.

<float T> public T cos (T f)

Compute the cosine.

Parameters

f

Input value.

Returns

Cosine of the input value.

<complex T> public T exp (T val)

Compute e to a power.

Parameters

val

Input value.

Returns

The base of natural logarithms, e, raised to the power given by the input value.

<floatingpoint T> public T exp (T val)

Compute e to a power.

Parameters

val

Input value.

Returns

The base of natural logarithms, e, raised to the power given by the input value.

<floatingpoint T> public T floor (T f)

Compute the largest integer value equal to or less than a value.

Parameters

f

Input value.

Returns

Largest integer <= f.

<float T> public T fmod (T x, T y)

Return the floating point remainder (see man 3 fmod for details and return values).

Parameters

x

Dividend.

y

Divisor.

Returns

Floating point remainder x - n*y for some n.

public float32 imag (complex32 c)

Return the 'imaginary' part of a complex number.

Parameters

c

Complex number input.

Returns

'Imaginary' part of complex number.

public float64 imag (complex64 c)

Return the 'imaginary' part of a complex number.

Parameters

c

Complex number input.

Returns

'Imaginary' part of complex number.

public float64 infl ()

Return a float64 infinity.

Returns

Infinity value as float64.

public float32 infw ()

Return a float32 infinity.

Returns

Infinity value as float32.

<complex T> public boolean isInf (T f)

Return whether the complex value is an infinity.

Parameters

f

Input value.

Returns

The result 'true' if either the real or imaginary component is an infinite value, 'false' otherwise.

<floatingpoint T> public boolean isInf (T f)

Return whether the floating point value is an infinity.

Parameters

f

Input value.

Returns

The result 'true' if the value is an infinity, 'false' otherwise.

<complex T> public boolean isNaN (T f)

Return whether the complex value is a NaN (Not A Number).

Parameters

f

Input value.

Returns

The result 'true' if either the real or imaginary component is a NaN, 'false' otherwise.

<floatingpoint T> public boolean isNaN (T f)

Return whether the floating point value is a NaN (Not A Number).

Parameters

f

Input value.

Returns

The result 'true' if the value is a NaN, 'false' otherwise.

<ordered T> public T kthelem (list<T> vals, uint32 k)

Compute the kth element in ascending order.

Parameters

vals

List of input values.

k

The desired element (indexing starts from 0).

Returns

The kth element in ascending order.

Throws

SPLRuntimeInvalidIndexException

If the index is out of bounds.

<ordered T>[N] public T kthelem (list<T>[N] vals, uint32 k)

Compute the kth element in ascending order.

Parameters

vals

List of input values.

k

The desired element (indexing starts from 0).

Returns

The kth element in ascending order.

Throws

SPLRuntimeInvalidIndexException

If the index is out of bounds.

<complex T> public T lg (T f)

Compute log base 10.

Parameters

f

Input value.

Returns

Base 10 logarithm of the input value.

<floatingpoint T> public T lg (T f)

Compute log base 10.

Parameters

f

Input value.

Returns

Base 10 logarithm of the input value.

<complex T> public T ln (T f)

Compute log base e.

Parameters

f

Input value.

Returns

Natural logarithm of the input value.

<floatingpoint T> public T ln (T f)

Compute log base e.

Parameters

f

Input value.

Returns

Natural logarithm of the input value.

<complex T> public T log (T f)

Compute log base e.

Parameters

f

Input value.

Returns

Natural logarithm of the input value.

<floatingpoint T> public T log (T f)

Compute log base e.

Parameters

f

Input value.

Returns

Natural logarithm of the input value.

<complex T> public T log10 (T f)

Compute log base 10.

Parameters

f

Input value.

Returns

Base 10 logarithm of the input value.

<floatingpoint T> public T log10 (T f)

Compute log base 10.

Parameters

f

Input value.

Returns

Base 10 logarithm of the input value.

<ordered T> public T max (T v1, T v2)

Compute the maximimum of two values.

Parameters

v1

First value.

v2

Second value.

Returns

Maximum of v1 and v2.

<ordered T> public T max (list<T> vals)

Find the maximum value in a list.

Parameters

vals

List of input values.

Returns

Maximum of the input values.

<ordered T>[N] public T max (list<T>[N] vals)

Find the maximum value in a list.

Parameters

vals

List of input values.

Returns

Maximum of the input values.

<ordered T> public T median (list<T> vals)

Compute the median of a list for numeric types that have overloaded the arithmetic operators. For a list with an odd number of elements, it returns the median value. For a list with an even number of elements, it returns the average of the two middlemost elements;

Parameters

vals

List of input values.

Returns

Median of the input values.

<ordered T>[N] public T median (list<T>[N] vals)

Compute the median of a list for numeric types that have overloaded the arithmetic operators. For a list with an odd number of elements, it returns the median value. For a list with an even number of elements, it returns the average of the two middlemost elements;

Parameters

vals

List of input values.

Returns

Median of the input values.

<ordered T> public T min (T v1, T v2)

Compute the minimum of two values.

Parameters

v1

First value.

v2

Second value.

Returns

Minimum of v1 and v2.

<ordered T> public T min (list<T> vals)

Find the minimum value in a list.

Parameters

vals

List of input values.

Returns

Minimum of the input values.

<ordered T>[N] public T min (list<T>[N] vals)

Find the minimum value in a list.

Parameters

vals

List of input values.

Returns

Minimum of the input values.

public float64 nanl ()

Return a float64 NaN (Not A Number).

Returns

NaN value as float64.

public float32 nanw ()

Return a float32 NaN (Not A Number).

Returns

NaN value as float32.

<complex T> public T pow (T val, T pwr)

Perform exponentiation.

Parameters

val

Input value.

pwr

Exponent value.

Returns

The input value raised to the power of the exponent.

<floatingpoint T> public T pow (T val, T pwr)

Perform exponentiation.

Parameters

val

Input value.

pwr

Exponent value.

Returns

The input value raised to the power of the exponent.

<integral T> public T pow (T val, T pwr)

Perform exponentiation.

Parameters

val

Input value.

pwr

Exponent value.

Returns

The input value raised to the power of the exponent.

public stateful float64 random()

Return a random number.

Returns

A random value in the range 0 to 1.

public stateful list<float64> random(int32 cnt)

Return a list of random numbers.

Parameters

cnt

Number of random values to return.

Returns

A list of random values each in the range 0 to 1.

public float32 real (complex32 c)

Return the 'real' part of a complex number.

Parameters

c

Complex number input.

Returns

'Real' part of complex number.

public float64 real (complex64 c)

Return the 'real' part of a complex number.

Parameters

c

Complex number input.

Returns

'Real' part of complex number.

<floatingpoint T> public T round (T f)

Round a floating point value to the nearest integer.

Parameters

f

Input value.

Returns

The input value rounded to the nearest integer.

<float T> public T sin (T f)

Compute the sine.

Parameters

f

Input value.

Returns

Sine of the input value.

<numeric T> public T sqrt (T f)

Compute the square root.

Parameters

f

Input value.

Returns

Square root of the input value.

public stateful int32 srand (int32 seed)

Seed the random number generator.

Parameters

seed

Value to be set for random number seed.

Returns

0 on success.

<numeric T> public T stddev (list<T> vals)

Compute the standard deviation of a list.

Parameters

vals

List of input values.

Returns

Standard deviation of the input values.

<numeric T> public T stddev (list<T> vals, boolean sample)

Compute the standard deviation of a list.

Parameters

vals

List of input values.

sample

Whether we want sample standard deviation, or population standard deviation ('true' means sample, 'false' means population).

Returns

Standard deviation of the input values.

<numeric T>[N] public T stddev (list<T>[N] vals)

Compute the standard deviation of a list.

Parameters

vals

List of input values.

Returns

Standard deviation of the input values.

<numeric T>[N] public T stddev (list<T>[N] vals, boolean sample)

Compute the standard deviation of a list.

Parameters

vals

List of input values.

sample

Whether we want sample standard deviation, or population standard deviation ('true' means sample, 'false' means population).

Returns

Standard deviation of the input values.

<numeric T> public T sum (list<T> vals)

Compute the sum of a list.

Parameters

vals

List of input values.

Returns

Sum of the input values.

<numeric T>[N] public T sum (list<T>[N] vals)

Compute the sum of a list.

Parameters

vals

List of input values.

Returns

Sum of the input values.

<float T> public T tan (T f)

Compute the tangent.

Parameters

f

Input value.

Returns

Tangent of the input value.