Libraries
Math Source Code
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Constant Summary
float
PI
Mathematical constant π.
float
E
Euler's number.

Function Summary
float
sin (in float: x)
Compute the sine of x, where x is given in radians.
float
cos (in float: x)
Compute the cosine of x, where x is given in radians.
float
tan (in float: x)
Compute the tangent of x, where x is given in radians.
float
asin (in float: x)
Compute the arc sine of x; that is the value whose sine is x.
float
acos (in float: x)
Compute the arc cosine of x; that is the value whose cosine is x.
float
atan (in float: x)
Compute the arc tangent of x; that is the value whose tangent is x.
float
atan2 (in float: y, in float: x)
Compute the arc tangent of y/x.
float
sinh (in float: x)
Compute the hyperbolic sine of x.
float
cosh (in float: x)
Compute the hyperbolic cosine of x.
float
tanh (in float: x)
Compute the hyperbolic tangent of x.
float
exp (in float: x)
Compute Euler's number e raised to the power of x.
float
expm1 (in float: x)
Compute exp(x) - 1.0 (subtract one from e raised to the power of x).
float
log (in float: x)
Return the natural logarithm (base e) of x.
float
log1p (in float: x)
Compute log(1.0 + x) (natural logarithm of the sum of 1 and x).
float
log10 (in float: x)
Returns the base 10 logarithm of x.
float
log2 (in float: x)
Returns the base 2 logarithm of x.
float
sqrt (in float: x)
Returns the non-negative square root of x.
float
ceil (in float: x)
Round up towards positive infinity.
float
floor (in float: x)
Round down towards negative infinity.

Constant Detail

PI

const float: PI

Mathematical constant π. PI is the ratio of any circle's circumference to its diameter.


E

const float: E

Euler's number. E is defined as exp(1.0)


Function Detail

sin

const func float: sin (in float: x)

Compute the sine of x, where x is given in radians.

Returns:
the trigonometric sine of an angle.

cos

const func float: cos (in float: x)

Compute the cosine of x, where x is given in radians.

Returns:
the trigonometric cosine of an angle.

tan

const func float: tan (in float: x)

Compute the tangent of x, where x is given in radians.

Returns:
the trigonometric tangent of an angle.

asin

const func float: asin (in float: x)

Compute the arc sine of x; that is the value whose sine is x.

Returns:
the arc sine of x in radians. The return angle is in the range [-PI/2, PI/2].

acos

const func float: acos (in float: x)

Compute the arc cosine of x; that is the value whose cosine is x.

Returns:
the arc cosine of x in radians. The returned angle is in the range [0.0, PI].

atan

const func float: atan (in float: x)

Compute the arc tangent of x; that is the value whose tangent is x.

Returns:
the arc tangent of x in radians. The returned angle is in the range [-PI/2, PI/2].

atan2

const func float: atan2 (in float: y, in float: x)

Compute the arc tangent of y/x. The signs of x and y are used to determine the quadrant of the result. It determines the angle theta from the conversion of rectangular coordinates (x, y) to polar coordinates (r, theta).

Returns:
the arc tangent of y/x in radians. The returned angle is in the range [-PI, PI].

sinh

const func float: sinh (in float: x)

Compute the hyperbolic sine of x. sinh(x) is mathematically defined as: (exp(x) - exp(-x)) / 2.0

Returns:
the hyperbolic sine.

cosh

const func float: cosh (in float: x)

Compute the hyperbolic cosine of x. cosh(x) is mathematically defined as: (exp(x) + exp(-x)) / 2.0

Returns:
the hyperbolic cosine.

tanh

const func float: tanh (in float: x)

Compute the hyperbolic tangent of x. tanh(x) is mathematically defined as: sinh(x) / cosh(x)

Returns:
the hyperbolic tangent.

exp

const func float: exp (in float: x)

Compute Euler's number e raised to the power of x.

Returns:
e raised to the power of x.

expm1

const func float: expm1 (in float: x)

Compute exp(x) - 1.0 (subtract one from e raised to the power of x). The result is computed in a way that is accurate even if the value of x is near zero.

Returns:
exp(x) - 1.0

log

const func float: log (in float: x)

Return the natural logarithm (base e) of x.

log(NaN)       returns NaN
log(1.0)       returns 0.0
log(Infinity)  returns Infinity
log(0.0)       returns -Infinity
log(x)         returns NaN        for x < 0.0
Returns:
the natural logarithm of x.

log1p

const func float: log1p (in float: x)

Compute log(1.0 + x) (natural logarithm of the sum of 1 and x). The result is computed in a way that is accurate even if the value of x is near zero.

log1p(NaN)       returns NaN
log1p(0.0)       returns 0.0
log1p(Infinity)  returns Infinity
log1p(-1.0)      returns -Infinity
log1p(x)         returns NaN        for x < -1.0
Returns:
log(1.0 + x)

log10

const func float: log10 (in float: x)

Returns the base 10 logarithm of x.

log10(NaN)       returns NaN
log10(1.0)       returns 0.0
log10(Infinity)  returns Infinity
log10(0.0)       returns -Infinity
log10(X)         returns NaN        for X < 0.0
Returns:
the base 10 logarithm of x.

log2

const func float: log2 (in float: x)

Returns the base 2 logarithm of x.

log2(NaN)       returns NaN
log2(1.0)       returns 0.0
log2(Infinity)  returns Infinity
log2(0.0)       returns -Infinity
log2(X)         returns NaN        for X < 0.0
Returns:
the base 2 logarithm of x.

sqrt

const func float: sqrt (in float: x)

Returns the non-negative square root of x.

sqrt(NaN)       returns NaN
sqrt(0.0)       returns 0.0
sqrt(Infinity)  returns Infinity
sqrt(X)         returns NaN        for X < 0.0
Returns:
the square root of x.

ceil

const func float: ceil (in float: x)

Round up towards positive infinity. Determine the smallest value that is greater than or equal to the argument and is equal to a mathematical integer.

Returns:
the rounded value.

floor

const func float: floor (in float: x)

Round down towards negative infinity. Returns the largest value that is less than or equal to the argument and is equal to a mathematical integer.

Returns:
the rounded value.


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