Expressions

Daviz functions which allow mathematical expressions supports the following functions:

`+, -, *, /`	arithmetic operations
`%, mod`	modulo
`( )`	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
`pi`	3.14159265359
`e`	2.71828182846
`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
`txmin`	minimum x value over all buffers
`txmax`	maximum x value over all buffers
`tymin`	minimum y value over all buffers
`tymax`	maximum 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.

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