WaveEasy Formula Functions

Function

Description

Example

Abs(x)

Absolute value of x.

Abs(Sin(x))

ArcCos(phase + cycles * x)

Inverse cosine of x.

-2*ArcCos(x*3+90)

ArcCosh(phase + cycles * x)

Inverse hyperbolic cosine of x.

-3 + 0.5 * ArcCosh(4 * x)

ArcSin(phase + cycles * x)

Inverse sine of x.

-2*ArcSin(x*3+90)

ArcSinh(phase + cycles * x)

Inverse hyperbolic sine of x.

-3 + 0.5 * ArcSinh(4 * x)

ArcTan(phase + cycles * x)

Inverse tangent of x.

-3 + 2* ArcTan(4 * x)

Ceil(x)

Rounds the elements of x to the nearest integers greater than or equal to x.

Ceil(3*sin(4*x))

Clip(x, amplitude low, amplitude high)

Clip the elements of x to the high/low amplitude.

Clip(3*sin(4*x), -1, 1)

Container(x)

Used in a formula for a segment that has sub-segments. Represents a  collection of segment sub segments.

1+2*Container(x) and sub segment is Sin(x)

Cos(phase + cycles * x)

Cosine of x.

1+2*Cos(x*3+45)

Cosh(phase + cycles * x)

Hyperbolic cosine of x.

Cosh(x*3)-3

Cot(phase + cycles * x)

Cotangent of x.

Cot(x*3)-3

FFTBandPass (x, filter order, cutoff low freq, cutoff high freq)

Filter that passes frequencies within a certain range and rejects (attenuates) frequencies outside that range. BandPass uses a frequency  domain convolution. Highr filter order produce better result however slower.

FFTBandPass(Sin(10 * x) + 0.8 * Sin(50 * x) + 0.5 * Sin(100 * x) + 0.2 * Sin(200 * x), 5, 0.001, 0.005)*4

FIRBandPass (x, filter order, cutof flow freq, cutoff high freq)

A filter that passes low frequencies well, but attenuates (reduces the amplitude of) frequencies higher  than the cutoff frequency. LowPass uses a time domain convolution. Highr filter order produce better result however slower.

FIRBandPass(Sin(x^2), 1, 0.001, 0.1), see Sin(x) to see Sin(x^2)

Exp(x)

Exponent of x.

Exp(3*Sin(3*x))

Floor(x)

Rounds the elements of x to the nearest integers smaller than or equal to x.

Floor(3*Sin(4*x))

Ln(x)

Natural logarithm of x.

Ln(x)*0.3

Log(x, base)

The logarithm of x to the base.

Log(x, 2)*Sin(4*x)

Log10(x)

Common logarithm (base 10) of x.

Log10(sin(2* x))

Noise(x)

Noise generate a number in the range -1 to 1.

Sin(4*x)+0.5*Noise(x)

Rnd(x)

Randomize number between 0 and 1.

Sin(2*x)*Rnd(x)*4

SawTooth(phase + offset * x)

Wave that resembles the teeth of a saw.

1 + 2 * SawTooth(45 + 5 * x)

Sin(phase + cycles * x)

Sine of x.

-1+2*Sin(4*x+45)

Sin(x^2)*2

Sinc(phase + cycles * x, zero crossing)

Sine cardinal of x.

-1 + 4 * Sinc(45 + 2 * x, 6)

Sinh(phase + cycles * x)

Hyperbolic sine of x.

-4 +  10 * Sinh(45 + 3 * x)

Sketch(x)

Free Hand or line drawing using WaveEasy tools. Use a formula to manipulate and change the ammplitude, add offset, etc.

Sketch(x)*2-1

Square( phase + cycles * x , duty cycle)

Square of x.

3.6 * Square(5 * x, 50)

Sqrt(x)

Square root of x.

Sqrt(x) * 0.3 * sin(5 * x)

Tan(phase + cycles * x)

Tangent of x.

-1.8 + 0.6 * Tan(5 * x)

Tanh(phase + cycles * x)

Hyperbolic tangent of of x.

-1.8 + 3.6 * Tanh(5 * x)

Triangle(phase + cycles *)

Triangle of x.

3.6 * Triangle(5 * x)