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diff --git a/doc/context/sources/general/manuals/luametafun/luametafun-function.tex b/doc/context/sources/general/manuals/luametafun/luametafun-function.tex new file mode 100644 index 000000000..79fa97a21 --- /dev/null +++ b/doc/context/sources/general/manuals/luametafun/luametafun-function.tex @@ -0,0 +1,296 @@ +% language=us + +\environment luametafun-style + +\startcomponent luametafun-function + +\startchapter[title={Function}] + +It is tempting to make helpers that can do a lot. However, that also means that +we need to explain a lot. Instead it makes more sense to have specific helpers +and just make another one when needed. Rendering functions falls into this +category. At some point users will come up with specific cases that other users +can use. Therefore, the solution presented here is not the ultimate answer. We +start with a simple example: + +\startbuffer[1] +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 20, xstep = .1, + ymin = -2, ymax = 2, + + sx = 1mm, xsmall = 80, xlarge = 20, + sy = 4mm, ysmall = 40, ylarge = 4, + + linewidth = .025mm, offset = .1mm, + + code = "1.5 * math.sind (50 * x - 150)", + ] + xsized 8cm + ; +\stopMPcode +\stopbuffer + +\startplacefigure + \getbuffer[1] +\stopplacefigure + +This image is defined as follows: + +\typebuffer[1][option=TEX] + +\startbuffer[2] +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 20, xstep = .1, + ymin = -2, ymax = 2, + + sx = 1mm, xsmall = 80, xlarge = 20, + sy = 4mm, ysmall = 40, ylarge = 4, + + linewidth = .025mm, offset = .1mm, + + xticks = "bottom", + yticks = "left", + xlabels = "nolimits", + ylabels = "yes", + code = "1.5 * math.sind (50 * x - 150)", + % frame = "ticks", + frame = "sticks", + ycaption = "\strut \rotate[rotation=90]{something vertical, using $\sin{x}$}", + xcaption = "\strut something horizontal", + functions = { + [ xmin = 1.0, xmax = 7.0, close = true, fillcolor = "darkred" ], + [ xmin = 7.0, xmax = 12.0, close = true, fillcolor = "darkgreen" ], + [ xmin = 12.0, xmax = 19.0, close = true, fillcolor = "darkblue" ], + [ + drawcolor = "darkyellow", + drawsize = 2 + ] + } + ] + xsized TextWidth + ; +\stopMPcode +\stopbuffer + +We can draw multiple functions in one go. The next sample split the drawing over +a few ranges and is defined as follows; in \in {figure} [function:2] we see the +result. + +\typebuffer[2][option=TEX] + + +\startplacefigure[reference=function:2] + \getbuffer[2] +\stopplacefigure + +Instead of the same function, we can draw different ones and when we use transparency +we get nice results too. + +\startbuffer[3] +\definecolor[MyColorR][r=.5,t=.5,a=1] +\definecolor[MyColorG][g=.5,t=.5,a=1] +\definecolor[MyColorB][b=.5,t=.5,a=1] + +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 20, xstep = .1, + ymin = -1, ymax = 1, + + sx = 1mm, xsmall = 80, xlarge = 20, + sy = 4mm, ysmall = 40, ylarge = 4, + + linewidth = .025mm, offset = .1mm, + + functions = { + [ + code = "math.sind (50 * x - 150)", + close = true, + fillcolor = "MyColorR" + ], + [ + code = "math.cosd (50 * x - 150)", + close = true, + fillcolor = "MyColorB" + ] + }, + ] + xsized TextWidth + ; +\stopMPcode +\stopbuffer + +\typebuffer[3][option=TEX] + +\startplacefigure[reference=function:3] + \getbuffer[3] +\stopplacefigure + +It is important to choose a good step. In \in {figure} [function:4] we show 4 +variants and it is clear that in this case using straight line segments is better +(or at least more efficient with small steps). + +\startbuffer[4a] +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 10, xstep = .1, + ymin = -1, ymax = 1, + + sx = 1mm, sy = 4mm, + + linewidth = .025mm, offset = .1mm, + + code = "math.sind (50 * x^2 - 150)", + shape = "curve" + ] + xsized .45TextWidth + ; +\stopMPcode +\stopbuffer + +\startbuffer[4b] +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 10, xstep = .01, + ymin = -1, ymax = 1, + + sx = 1mm, sy = 4mm, + + linewidth = .025mm, offset = .1mm, + + code = "math.sind (50 * x^2 - 150)", + shape = "curve" + ] + xsized .45TextWidth + ; +\stopMPcode +\stopbuffer + +\startbuffer[4c] +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 10, xstep = .1, + ymin = -1, ymax = 1, + + sx = 1mm, sy = 4mm, + + linewidth = .025mm, offset = .1mm, + + code = "math.sind (50 * x^2 - 150)", + shape = "line" + ] + xsized .45TextWidth + ; +\stopMPcode +\stopbuffer + +\startbuffer[4d] +\startMPcode{doublefun} + draw lmt_function [ + xmin = 0, xmax = 10, xstep = .01, + ymin = -1, ymax = 1, + + sx = 1mm, sy = 4mm, + + linewidth = .025mm, offset = .1mm, + + code = "math.sind (50 * x^2 - 150)", + shape = "line" + ] + xsized .45TextWidth + ; +\stopMPcode +\stopbuffer + +\typebuffer[4a][option=TEX] + +\startplacefigure[reference=function:4] + \startcombination[2*2] + {\getbuffer[4a]} {\type {xstep=.10} and \type {shape="curve"}} + {\getbuffer[4b]} {\type {xstep=.01} and \type {shape="curve"}} + {\getbuffer[4c]} {\type {xstep=.10} and \type {shape="line"}} + {\getbuffer[4d]} {\type {xstep=.01} and \type {shape="line"}} + \stopcombination +\stopplacefigure + +You can manipulate the axis (a bit) by tweaking the first and last ticks. In the +case of \in {figure} [function:5] we also put the shape on top of the axis. + +\startbuffer[5] +\startMPcode{doublefun} + draw lmt_function [ + xfirst = 9, xlast = 21, ylarge = 2, ysmall = 1/5, + yfirst = -1, ylast = 1, xlarge = 2, xsmall = 1/4, + + xmin = 10, xmax = 20, xstep = .25, + ymin = -1, ymax = 1, + + drawcolor = "darkmagenta", + shape = "steps", + code = "0.5 * math.random(-2,2)", + linewidth = .025mm, + offset = .1mm, + reverse = true, + ] + xsized TextWidth + ; +\stopMPcode +\stopbuffer + +\typebuffer[5][option=TEX] + +\startplacefigure[reference=function:5] + \getbuffer[5] +\stopplacefigure + +The whole repertoire of parameters (in case of doubt just check the source code as this +kind of code is not that hard to follow) is: + +\starttabulate[|T|T|T|p|] +\FL +\BC name \BC type \BC default \BC comment \NC \NR +\ML +\NC sx \NC numeric \NC 1mm \NC horizontal scale factor \NC \NR +\NC sy \NC numeric \NC 1mm \NC vertical scale factor \NC \NR +\NC offset \NC numeric \NC 0 \NC \NC \NR +\NC xmin \NC numeric \NC 1 \NC \NC \NR +\NC xmax \NC numeric \NC 1 \NC \NC \NR +\NC xstep \NC numeric \NC 1 \NC \NC \NR +\NC xsmall \NC numeric \NC \NC optional step of small ticks \NC \NR +\NC xlarge \NC numeric \NC \NC optional step of large ticks \NC \NR +\NC xlabels \NC string \NC no \NC \type {yes}, \type {no} or \type {nolimits} \NC \NR +\NC xticks \NC string \NC bottom \NC possible locations are \type {top}, \type {middle} and \type {bottom} \NC \NR +\NC xcaption \NC string \NC \NC \NC \NR +\NC ymin \NC numeric \NC 1 \NC \NC \NR +\NC ymax \NC numeric \NC 1 \NC \NC \NR +\NC ystep \NC numeric \NC 1 \NC \NC \NR +\NC ysmall \NC numeric \NC \NC optional step of small ticks \NC \NR +\NC ylarge \NC numeric \NC \NC optional step of large ticks \NC \NR +\NC xfirst \NC numeric \NC \NC left of \type {xmin} \NC \NR +\NC xlast \NC numeric \NC \NC right of \type {xmax} \NC \NR +\NC yfirst \NC numeric \NC \NC below \type {ymin} \NC \NR +\NC ylast \NC numeric \NC \NC above \type {ymax} \NC \NR +\NC ylabels \NC string \NC no \NC \type {yes}, \type {no} or \type {nolimits} \NC \NR +\NC yticks \NC string \NC left \NC possible locations are \type {left}, \type {middle} and \type {right} \NC \NR +\NC ycaption \NC string \NC \NC \NC \NR +\NC code \NC string \NC \NC \NC \NR +\NC close \NC boolean \NC false \NC \NC \NR +\NC shape \NC string \NC curve \NC or \type {line} \NC \NR +\NC fillcolor \NC string \NC \NC \NC \NR +\NC drawsize \NC numeric \NC 1 \NC \NC \NR +\NC drawcolor \NC string \NC \NC \NC \NR +\NC frame \NC string \NC \NC options are \type {yes}, \type {ticks} and \type {sticks} \NC \NR +\NC linewidth \NC numeric \NC .05mm \NC \NC \NR +\NC pointsymbol \NC string \NC \NC like type {dots} \NC \NR +\NC pointsize \NC numeric \NC 2 \NC \NC \NR +\NC pointcolor \NC string \NC \NC \NC \NR +\NC xarrow \NC string \NC \NC \NC \NR +\NC yarrow \NC string \NC \NC \NC \NR +\NC reverse \NC boolean \NC false \NC when \type {true} draw the function between axis and labels \NC \NR +\LL +\stoptabulate + +\stopchapter + +\stopcomponent |