VM Mathematical Functions

This section describes VM functions that compute values of mathematical functions on real and complex vector arguments with unit increment.

Each function is introduced by its short name, a brief description of its purpose, and the calling sequence for each type of data, as well as a description of the input/output arguments.

The input range of parameters is equal to the mathematical range of the input data type, unless the function description specifies input threshold values, which mark off the precision overflow, as follows:

• FLT_MAX denotes the maximum number representable in single precision real data type

• DBL_MAX denotes the maximum number representable in double precision real data type

The following tables list the available mathematical functions grouped by category.

Arithmetic Routines	Description
add	Adds vector elements
sub	Subtracts vector elements
sqr	Squares vector elements
mul	Multiplies vector elements
mulbyconj	Multiplies elements of one vector by conjugated elements of the second vector
conj	Conjugates vector elements
abs	Computes the absolute value of vector elements
arg	Computes the argument of vector elements
linearfrac	Performs linear fraction transformation of vectors
fmod	Performs element by element computation of the modulus function of vector a with respect to vector b
remainder	Performs element by element computation of the remainder function on the elements of vector a and the corresponding elements of vector b

Power and Root Routines	Description
inv	Inverts vector elements
div	Divides elements of one vector by elements of the second vector
sqrt	Computes the square root of vector elements
invsqrt	Computes the inverse square root of vector elements
cbrt	Computes the cube root of vector elements
invcbrt	Computes the inverse cube root of vector elements
pow2o3	Computes the cube root of the square of each vector element
pow3o2	Computes the square root of the cube of each vector element
pow	Raises each vector element to the specified power
powx	Raises each vector element to the constant power
powr	Computes a to the power b for elements of two vectors, where the elements of vector argument a are all non-negative
hypot	Computes the square root of sum of squares

Exponential and Logarithmic Routines	Description
exp	Computes the base e exponential of vector elements
exp2	Computes the base 2 exponential of vector elements
exp10	Computes the base 10 exponential of vector elements
expm1	Computes the base e exponential of vector elements decreased by 1
ln	Computes the natural logarithm of vector elements
log2	Computes the base 2 logarithm of vector elements
log10	Computes the base 10 logarithm of vector elements
log1p	Computes the natural logarithm of vector elements that are increased by 1
logb	Computes the exponents of the elements of input vector a

Trigonometric Routines	Description
cos	Computes the cosine of vector elements
sin	Computes the sine of vector elements
sincos	Computes the sine and cosine of vector elements
cis	Computes the complex exponent of vector elements (cosine and sine combined to complex value)
tan	Computes the tangent of vector elements
acos	Computes the inverse cosine of vector elements
asin	Computes the inverse sine of vector elements
atan	Computes the inverse tangent of vector elements
atan2	Computes the four-quadrant inverse tangent of ratios of the elements of two vectors
cospi	Computes the cosine of vector elements multiplied by π
sinpi	Computes the sine of vector elements multiplied by π
tanpi	Computes the tangent of vector elements multiplied by π
acospi	Computes the inverse cosine of vector elements divided by π
asinpi	Computes the inverse sine of vector elements divided by π
atanpi	Computes the inverse tangent of vector elements divided by π
atan2pi	Computes the four-quadrant inverse tangent of the ratios of the corresponding elements of two vectors divided by π
cosd	Computes the cosine of vector elements multiplied by π/180
sind	Computes the sine of vector elements multiplied by π/180
tand	Computes the tangent of vector elements multiplied by π/180

Hyperbolic Routines	Description
cosh	Computes the hyperbolic cosine of vector elements
sinh	Computes the hyperbolic sine of vector elements
tanh	Computes the hyperbolic tangent of vector elements
acosh	Computes the inverse hyperbolic cosine of vector elements
asinh	Computes the inverse hyperbolic sine of vector elements
atanh	Computes the inverse hyperbolic tangent of vector elements.

Special Routines	Description
erf	Computes the error function value of vector elements
erfc	Computes the complementary error function value of vector elements
cdfnorm	Computes the cumulative normal distribution function value of vector elements
erfinv	Computes the inverse error function value of vector elements
erfcinv	Computes the inverse complementary error function value of vector elements
cdfnorminv	Computes the inverse cumulative normal distribution function value of vector elements
lgamma	Computes the natural logarithm for the absolute value of the gamma function of vector elements
tgamma	Computes the gamma function of vector elements
expint1	Computes the exponential integral of vector elements

Rounding Routines	Description
floor	Rounds towards minus infinity
ceil	Rounds towards plus infinity
trunc	Rounds towards zero infinity
round	Rounds to nearest integer
nearbyint	Rounds according to current mode
rint	Rounds according to current mode and reports inexact result status
modf	Computes the integer and fractional parts
frac	Computes the fractional part

Miscellaneous Routines	Description
copysign	Returns vector of elements of one argument with signs changed to match other argument elements
nextafter	Returns vector of elements containing the next representable floating-point values following the values from the elements of one vector in the direction of the corresponding elements of another vector
fdim	Returns vector containing the differences of the corresponding elements of the vector arguments if the first is larger and +0 otherwise
fmax	Returns the larger of each pair of elements of the two vector arguments
fmin	Returns the smaller of each pair of elements of the two vector arguments
maxmag	Returns the element with the larger magnitude between each pair of elements of the two vector arguments
minmag	Returns the element with the smaller magnitude between each pair of elements of the two vector arguments

Parent topic: Vector Math