Math Module

The math module provides mathematical functions. This is a global module that can be used directly in DQL.

a = 3.1415
b = math.floor(a)
print(b) # 3

Methods

ceil(x): int

Returns the smallest integer greater than or equal to $x$.

a = 3.14
b = math.ceil(a)
print(b)  # Output: 4

copysign(x, y)

Returns a value with the magnitude of $x$ and the sign of $y$.

x = 5.0
y = -3.0
result = math.copysign(x, y)
print(result)  # Output: -5.0

fabs(x)

Returns the absolute value of x as a float.

a = -7.5
b = math.fabs(a)
print(b)  # Output: 7.5

floor(x)

Returns the floor of x, i.e., the largest integer less than or equal to x.

a = 3.14
b = math.floor(a)
print(b)  # Output: 3

mod(x, y)

Returns the floating-point remainder of x/y. The magnitude of the result is less than y, and its sign matches x.

x = 10.5
y = 3
result = math.fmod(x, y)
print(result)  # Output: 1.5

pow(x, y)

Returns x**y, i.e., y raised to the power of x.

x = 2
y = 3
result = math.pow(x, y)
print(result)  # Output: 8.0

remainder(x, y)

Returns the IEEE 754 floating-point remainder of x/y.

x = 7
y = 2
result = math.remainder(x, y)
print(result)  # Output: 1.0

round(x)

Returns the nearest integer to x, rounding half away from zero.

a = 3.6
b = round(a)
print(b)  # Output: 4

exp(x)

Returns e raised to the power of x, where e = 2.718281… is the base of natural logarithms.

x = 2
result = math.exp(x)
print(result)  # Output: 7.38905609893065

sqrt(x)

Returns the square root of x.

x = 16
result = math.sqrt(x)
print(result)  # Output: 4.0

acos(x)

Returns the arc cosine of x in radians.

x = 0.5
result = math.acos(x)
print(result)  # Output: 1.0471975511965979

asin(x)

Returns the arc sine of x in radians.

x = 0.5
result = math.asin(x)
print(result)  # Output: 0.5235987755982989

atan(x)

Returns the arc tangent of x in radians.

x = 1
result = math.atan(x)
print(result)  # Output: 0.7853981633974483

atan2(y, x)

Returns $atan(y / x)$ in radians.

y = 1
x = 1
result = math.atan2(y, x)
print(result)  # Output: 0.7853981633974483

cos(x)

Returns the cosine of x in radians.

x = math.pi / 3
result = math.cos(x)
print(result)  # Output: 0.5

hypot(x, y)

Returns the Euclidean norm $\sqrt{x*x + y*y}$.

x = 3
y = 4
result = math.hypot(x, y)
print(result)  # Output: 5.0

sin(x)

Returns the sine of $x$ in radians.

x = math.pi / 2
result = math.sin(x)
print(result)  # Output: 1.0

tan(x)

Returns the tangent of $x$ in radians.

x = math.pi / 4
result = math.tan(x)
print(result)  # Output: 0.9999999999999999 (≈ 1)

degrees(x)

Converts angle $x$ from radians to degrees.

x = math.pi
result = math.degrees(x)
print(result)  # Output: 180.0

radians(x)

Converts angle $x$ from degrees to radians.

x = 180
result = math.radians(x)
print(result)  # Output: 3.141592653589793

acosh(x)

Returns the inverse hyperbolic cosine of $x$.

x = 10
result = math.acosh(x)
print(result)  # Output: 2.993222846126381

asinh(x)

Returns the inverse hyperbolic sine of $x$.

x = 10
result = math.asinh(x)
print(result)  # Output: 2.99822295029797

atanh(x)

Returns the inverse hyperbolic tangent of $x$.

x = 0.5
result = math.atanh(x)
print(result)  # Output: 0.5493061443340548

cosh(x)

Returns the hyperbolic cosine of $x$.