Expressions

Daviz functions which allow mathematical expressions supports the following functions:

+, -, *, /arithmetic operations
%, modmodulo
( ) grouping
^, **power
rad(x), deg(x)conversion between radians and degrees
sin(x),cos(x),tan(x)trigonometric functions
asin(x),acos(x),atan(x)inverse trigonometric functions
sinh(x),cosh(x),tanh(x)hyperbolic functions
rnd(h)random number (h = height)
ln(x),log(x)natural and logarithm to base 10
sqrt(x)square root
cbrt(x)cubic root
frac(x)returns the fraction of x
int(x)returns the integer of x
round(x;n)round up and down to the nth place on the right of the decimal point
gau(x;x0;a;w)Gauss (x0 = position, a = amplitude, w = width)
lor(x;x0;a;w)Lorentz (x0 = position, a = amplitude, w = width)
galo(x;x0;a;w;r)Gauss-Lorentz (x0 = position, a = amplitude, w = width, r =Gauss-Lorentz ratio (1.0=pure Gauss,0.0 = pure Lorentz))
tail(x;x0;a;w;r;t)Gauss-Lorentz with exponential Tail (x0 = position, a = amplitude, w = width, r = Gauss-Lorentz ratio(1.0=pure Gauss,0.0 = pure Lorentz)), t = tail exponent factor
j0(x), j1(x), jn(x;n)bessel functions
y0(x), y1(x), yn(x;n)bessel functions
pi3.14159265359
e2.71828182846
xval(b;i)x value of point i in buffer b
xvf(b)x value of the first point in buffer b
xvl(b)x value of the last point in buffer b
yval(b;i)y value of point i in buffer b
yvf(b)y value of the first point in buffer b
yvl(b)y value of the last point in buffer b
xmin(b)minimum x value in buffer b
xmax(b)maximum x value in buffer b
ymin(b)minimum y value in buffer b
ymax(b)maximum y value in buffer b
txminminimum x value over all buffers
txmaxmaximum x value over all buffers
tyminminimum y value over all buffers
tymaxmaximum y value over all buffers
vxmin(b)minimum x value over all visible buffer
vxmax(b)maximum x value over all visible buffer
vymin(b)minimum y value over all visible buffer
vymax(b)maximum y value over all visible buffer
points(b)number of points in buffer b
xpoint(v;a)x screen coordinate of v (a can be 1 for the first or 2 for the second axis).
xvalue(v;a)x value of the screen coordinate v (a can be 1 for the first or 2 for the second axis).
ypoint(v;a)y screen coordinate of v (a can be 1 for the first or 2 for the second axis).
yvalue(v;a)y value of the screen coordinate v (a can be 1 for the first or 2 for the second axis).
findx(v;b)x value which depends to y in buffer b. If there are more than one it returns the first it found.
findy(v;b)y value which depends to x in buffer b. If there are more than one it returns the first it found.