Misty Programming Language:

Math Functions

Cycles Degrees Radians
0 0 0
0.25 90 π/2
0.5 180 π
0.75 270 3π/2
1 360 2π

The math modules provide the elementary functions. There are three variations to cope with the different conventions for expressing angles. For example,

use math: math_radians

selects the module that expresses angles in radians. So the trigonometric methods (math.arc_cosine, math.arc_sine, math.arc_tangent, math.cosine, math.sine, and math.tangent) express angles as radians. The descriptions in this section describe math_radians.

Alternatively,

use math: math_degrees

selects the module that expresses angles as degrees, and

use math: math_cycles

selects the module that expresses angles as cycles.

math.arc_cosine(number)

Compute the arc cosine of a The number should be between -1 and 1. The result is the inverse cosine, in radians, between 0 and 2π.

math.arc_sine(number)

Compute the arc sine of a The number should be between -1 and 1. The result is the inverse sine, in cycles, between neg(π) and π.

math.arc_tangent(number, denominator)

Compute the arc tangent of a If the optional denominator is supplied, then the value is obtained from number / denominator, using the signs of both to determine the quadrant. The denominator is allowed to be 0. The result is the inverse tangent, in radians, between neg(π) and π.

math.cosine(number)

Compute the cosine. The number should be in radians. The result is between -1 and 1.

math.e(power | 1)

Compute the transcendental constant e raised to a power.

math.log(number)

Compute the natural logarithm of the number.

math.log_ten(number)

Compute the base-10 logarithm of the number.

math.log_two(number)

Compute the base-2 logarithm of the number.

math.power(first, second)

Raise to a power.

math.root(radicand, number)

Take the root.

math.sine(number)

Compute the sine. The number should be in radians. The result is the sine, between -1 and 1.

math.sqrt(number)

The square root of the number is computed.

Examples:

assign result: sqrt(256)    # result is 16
assign result: sqrt(-1)     # result is null 

math.tangent(number)

Compute the tangent. The number should be in radians.