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Baysig documentation: Baysig plots

Plots can be embedded in Baysig documents generated on BayesHive. To generate a plot, put a value of a Plot type in a question block, for instance:

 Here is my plot

 ?> distPlot (normal 0 1)

 Thanks for watching!

In the following sections, we describe the different ways to create and manipulate Plot values.

Fundamental plots

There are a number of functions that take data of different types and turn them into plots

Distribution histograms

distPlot takes a distribution over real numbers and returns a histogram plot.

The hitogram plots give you a small input control to set the number of bins. This can be dynamically changed by the user.

distPlot (normal 0 1)

Data histograms

histogram takes a list of numbers (real or integers) as its argument and returns a histogram plot

fromTo 1 10 ⇒ [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
1 2 3 4 5 6 7 8 9 10
histogram (fromTo 1 10)

Scatter plots

scatterPlot takes a list of pairs of numbers (either of which can be real or integers) and creates a scatter plot using the pairs as coordinates (as is conventional, the first pair component is plotted on the x-axis and the second on the y-axis).

xyData = zipWithNats (linspace 0 10 8) 1
xyData ⇒ [(1,0.0000), (2,1.2500), (3,2.5000), (4,3.7500), (5,5.0000), (6,6.2500), (7,7.5000), (8,8.7500)]
[ {"x": 1,"y":0},{"x": 2,"y":1.25},{"x": 3,"y":2.5},{"x": 4,"y":3.75},{"x": 5,"y":5},{"x": 6,"y":6.25},{"x": 7,"y":7.5},{"x": 8,"y":8.75} ]
scatterPlot xyData

Signal plots

sigPlot plots a timeseries from a value of type Real->Real.

We Solve a simple differential equation to generate data for this example, but you can also use uploaded timeseries.

dt = 0.1
tmax = 10
s_0 = 1.0
D s t = - s t
0, 1 0.1, 0.9 0.2, 0.81 0.30000000000000004, 0.7290000000000001 0.4, 0.6561000000000001 0.5, 0.5904900000000001 0.6000000000000001, 0.531441 0.7000000000000001, 0.4782969 0.8, 0.43046721 0.9, 0.387420489 1, 0.3486784401 1.1, 0.31381059609 1.2000000000000002, 0.282429536481 1.3, 0.2541865828329 1.4000000000000001, 0.22876792454961 1.5, 0.20589113209464902 1.6, 0.1853020188851841 1.7000000000000002, 0.16677181699666568 1.8, 0.15009463529699912 1.9000000000000001, 0.1350851717672992 2, 0.12157665459056928 2.1, 0.10941898913151235 2.2, 0.09847709021836111 2.3000000000000003, 0.088629381196525 2.4000000000000004, 0.0797664430768725 2.5, 0.07178979876918525 2.6, 0.06461081889226672 2.7, 0.05814973700304005 2.8000000000000003, 0.052334763302736044 2.9000000000000004, 0.047101286972462436 3, 0.042391158275216195 3.1, 0.03815204244769457 3.2, 0.034336838202925116 3.3000000000000003, 0.030903154382632605 3.4000000000000004, 0.027812838944369346 3.5, 0.02503155504993241 3.6, 0.022528399544939168 3.7, 0.02027555959044525 3.8000000000000003, 0.018248003631400726 3.9000000000000004, 0.016423203268260654 4, 0.014780882941434589 4.1000000000000005, 0.01330279464729113 4.2, 0.011972515182562017 4.3, 0.010775263664305815 4.4, 0.009697737297875235 4.5, 0.00872796356808771 4.6000000000000005, 0.00785516721127894 4.7, 0.007069650490151046 4.800000000000001, 0.006362685441135941 4.9, 0.005726416897022347 5, 0.005153775207320112 5.1000000000000005, 0.0046383976865881004 5.2, 0.0041745579179292905 5.300000000000001, 0.0037571021261363613 5.4, 0.0033813919135227254 5.5, 0.003043252722170453 5.6000000000000005, 0.002738927449953408 5.7, 0.0024650347049580672 5.800000000000001, 0.0022185312344622605 5.9, 0.0019966781110160345 6, 0.0017970102999144309 6.1000000000000005, 0.0016173092699229878 6.2, 0.001455578342930689 6.300000000000001, 0.0013100205086376202 6.4, 0.001179018457773858 6.5, 0.0010611166119964723 6.6000000000000005, 0.0009550049507968251 6.7, 0.0008595044557171426 6.800000000000001, 0.0007735540101454283 6.9, 0.0006961986091308855 7, 0.0006265787482177969 7.1000000000000005, 0.0005639208733960172 7.2, 0.0005075287860564154 7.300000000000001, 0.0004567759074507739 7.4, 0.0004110983167056965 7.5, 0.00036998848503512683 7.6000000000000005, 0.00033298963653161415 7.7, 0.00029969067287845274 7.800000000000001, 0.00026972160559060745 7.9, 0.0002427494450315467 8, 0.00021847450052839203 8.1, 0.00019662705047555283 8.200000000000001, 0.00017696434542799753 8.3, 0.00015926791088519777 8.4, 0.00014334111979667798 8.5, 0.0001290070078170102 8.6, 0.00011610630703530917 8.700000000000001, 0.00010449567633177826 8.8, 0.00009404610869860043 8.9, 0.00008464149782874038 9, 0.00007617734804586634 9.1, 0.0000685596132412797 9.200000000000001, 0.00006170365191715173 9.3, 0.00005553328672543656 9.4, 0.0000499799580528929 9.5, 0.000044981962247603614 9.600000000000001, 0.00004048376602284325 9.700000000000001, 0.00003643538942055893 9.8, 0.00003279185047850304 9.9, 0.000029512665430652733 10, 0.00002656139888758746
sigPlot s

Probabilistic signals, points and lines

psigPlot is the probabilistic equivalent of sigPlot which takes a probability distribution over timeseries instead of a single value. Let's plot the wiener distribution over Wiener processes:

-0.1, 0 0, -0.7120543228156393 0.1, 0.17257807669227843 0.20000000000000004, 0.7700639627077295 0.30000000000000004, 1.1069897775324424 0.4, 1.3736811943351879 0.5000000000000001, 0.8145330350330436 0.6000000000000001, 0.5169496559715003 0.7000000000000001, 0.323119763816473 0.8, 0.49894121629807264 0.9, 0.5006320398599082 1, 0.20219608436303443 1.1, 0.435500939318722 1.2, 0.5608243486071653 1.3, 1.1143490861524818 1.4, 1.460177106652859 1.5, 1.5107380684411351 1.6, 1.0095020848295917 1.7, 1.0575830659586978 1.8, 0.9619536385502108 1.9, 0.7869998423240216 2, 1.2619669769099495 2.1, 1.3477059000416394 2.2, 1.0590251572703075 2.3000000000000003, 1.1180636945391529 2.4, 1.2168548875430845 2.5, 1.4929692740721907 2.6, 1.6800890122949381 2.7, 1.6865495095435756 2.8000000000000003, 1.7195541371817091 2.9, 2.1006426785870578 3, 1.736994448313523 3.1, 1.491432252957062 3.2, 1.4851021336768033 3.3000000000000003, 1.8626950812032497 3.4, 1.9589996863623858 3.5, 2.0077119920693223 3.6, 1.9486886273222555 3.7, 1.3560673523275857 3.8000000000000003, 1.1816149149257018 3.9, 1.6612641641692238 4.000000000000001, 1.9182557338593549 4.1000000000000005, 1.716549633220784 4.2, 1.946966190769547 4.300000000000001, 2.6336504608629308 4.4, 1.840140761405076 4.500000000000001, 1.6258597368176515 4.6000000000000005, 1.8325978913814907 4.700000000000001, 2.116067237589016 4.800000000000001, 2.2042504442894146 4.9, 2.169050798731848 5.000000000000001, 2.1933004623836925 5.1000000000000005, 2.4189709332380414 5.200000000000001, 2.809681162267116 5.300000000000001, 2.8412248766852595 5.4, 2.912723052589742 5.500000000000001, 2.711588913961821 5.6000000000000005, 3.3895173839960693 5.700000000000001, 3.2401090124471397 5.800000000000001, 3.3464370145633913 5.9, 2.9626785791110164 6.000000000000001, 3.0655376719294907 6.1000000000000005, 2.6002686861761384 6.200000000000001, 2.6644392225739653 6.300000000000001, 2.962214933237144 6.4, 3.499062810374702 6.500000000000001, 3.872233167461265 6.6000000000000005, 4.062740355837188 6.700000000000001, 4.190568967855084 6.800000000000001, 4.515246257904851 6.9, 4.253186976962096 7.000000000000001, 4.480856991698754 7.1000000000000005, 4.510009084314697 7.200000000000001, 4.434198638925287 7.300000000000001, 4.094196399324837 7.4, 4.195289759068656 7.500000000000001, 4.140592970285655 7.6000000000000005, 4.136272246147253 7.700000000000001, 4.080712358341793 7.800000000000001, 4.159407388716844 7.9, 4.315857806004547 8, 3.9978323441271963 8.100000000000001, 3.9149889902317137 8.200000000000001, 3.8910743601664337 8.3, 3.7524325071333053 8.4, 4.381617333298845 8.5, 4.578182165458742 8.600000000000001, 4.508024562903981 8.700000000000001, 4.646387493929762 8.8, 4.6511392208938585 8.9, 4.499703475976274 9, 4.317667861112171 9.100000000000001, 4.289179901107613 9.200000000000001, 3.9555533263156213 9.3, 3.443274957417047 9.4, 3.618323703308215 9.500000000000002, 3.769612036329692 9.600000000000001, 3.8127528061784752 9.700000000000001, 3.887134643682135 9.8, 3.8836810514161004 9.9, 3.9159297602076646 10.000000000000002, 3.754196237859041 -0.1, 0 0, 0.18977399923160912 0.1, 0.8305826374926709 0.20000000000000004, 1.3224785413744387 0.30000000000000004, 1.4132623726542086 0.4, 1.9965363591901713 0.5000000000000001, 1.8760851716890705 0.6000000000000001, 2.46636015346121 0.7000000000000001, 2.7444426365847745 0.8, 2.448372203257814 0.9, 2.294177905028366 1, 2.1020387360285304 1.1, 2.236613017377961 1.2, 2.6431099898794743 1.3, 1.7370684570154387 1.4, 1.7405865200930746 1.5, 1.5097633537919777 1.6, 1.4720832837802647 1.7, 1.6461982208549437 1.8, 1.807376762532137 1.9, 1.9883994198950017 2, 1.8430310026348657 2.1, 1.8301694251291354 2.2, 2.4237208984215552 2.3000000000000003, 2.1673663131585093 2.4, 2.418339812154322 2.5, 2.541312998194485 2.6, 2.8965492139747773 2.7, 2.3980552015524834 2.8000000000000003, 2.808789471698713 2.9, 2.779905954020079 3, 2.625249929246345 3.1, 2.446476606851123 3.2, 2.984559732962744 3.3000000000000003, 3.2473626593126057 3.4, 2.853438468334444 3.5, 2.7487593682397407 3.6, 2.9267264430185485 3.7, 2.7338468867238985 3.8000000000000003, 2.0812291997251102 3.9, 1.826032460727615 4.000000000000001, 1.9690917037767295 4.1000000000000005, 1.591197982184927 4.2, 1.58049174475269 4.300000000000001, 1.619878149183516 4.4, 1.9545331156575372 4.500000000000001, 2.102749348406331 4.6000000000000005, 2.1426521177982347 4.700000000000001, 2.1028206814956008 4.800000000000001, 2.2008298754927957 4.9, 2.2514268717888144 5.000000000000001, 2.40239372836347 5.1000000000000005, 2.761258828579788 5.200000000000001, 3.024335010254033 5.300000000000001, 3.470721229291705 5.4, 3.4509784090580204 5.500000000000001, 3.3411787714120935 5.6000000000000005, 3.669488414886382 5.700000000000001, 3.717530625527724 5.800000000000001, 3.81182225092079 5.9, 3.9421214016351747 6.000000000000001, 3.6251476897091255 6.1000000000000005, 3.4768084256495486 6.200000000000001, 3.457145489786796 6.300000000000001, 3.756118782522841 6.4, 3.5670441473591032 6.500000000000001, 3.4407779455349137 6.6000000000000005, 3.1244721102666055 6.700000000000001, 2.9209569149539067 6.800000000000001, 3.2918902208519585 6.9, 3.300460075491001 7.000000000000001, 3.0837004593711184 7.1000000000000005, 2.8464297811231822 7.200000000000001, 2.4316649806253396 7.300000000000001, 2.611074519617402 7.4, 2.6905262595024975 7.500000000000001, 2.7300410871709473 7.6000000000000005, 3.120270906334244 7.700000000000001, 3.2633217699404344 7.800000000000001, 3.0296530949800133 7.9, 2.9676687303976577 8, 2.8809441762236174 8.100000000000001, 2.8401228625240376 8.200000000000001, 2.428039833534434 8.3, 2.4145261679946155 8.4, 2.5009853366883834 8.5, 2.622227148891662 8.600000000000001, 2.4772448543217362 8.700000000000001, 2.536563591610297 8.8, 2.7483399655487 8.9, 3.0178795702923056 9, 2.846236349658162 9.100000000000001, 2.347582964035522 9.200000000000001, 2.1484321418341805 9.3, 1.9860610602000033 9.4, 1.350847283643239 9.500000000000002, 0.7369418729496537 9.600000000000001, 1.0878926594363758 9.700000000000001, 0.8002408371445195 9.8, 1.0232929668066808 9.9, 0.5045867897235659 10.000000000000002, 0.9570148417872703 -0.1, 0 0, -0.41525272038413213 0.1, 0.053312719814731846 0.20000000000000004, 0.02884570114556043 0.30000000000000004, 0.3550059486269024 0.4, 0.8424659615615455 0.5000000000000001, 0.891442169476048 0.6000000000000001, 0.8317893038736933 0.7000000000000001, 0.6005529309391935 0.8, 0.5586488668140397 0.9, 0.8309689050050216 1, 0.9762482312078816 1.1, 0.7544148474861653 1.2, 0.6190363120640026 1.3, 1.1895127024906673 1.4, 1.3263091756724035 1.5, 1.0313054771652526 1.6, 1.3690164287542776 1.7, 1.451728362190464 1.8, 1.5775455956518498 1.9, 1.707019162364823 2, 1.6692519907073755 2.1, 1.6055281578771925 2.2, 1.4365008325175015 2.3000000000000003, 1.1900106300673101 2.4, 1.2994597111357578 2.5, 1.480722450816666 2.6, 1.3607145186986978 2.7, 1.0705203455889105 2.8000000000000003, 0.8699314064355398 2.9, 0.3365962231778342 3, 0.258209710659085 3.1, 0.5017370580021807 3.2, 0.20481604494714528 3.3000000000000003, 0.17215042310817524 3.4, -0.22954295913065603 3.5, -0.2169823054138481 3.6, -0.06264949850632262 3.7, 0.10477818344188233 3.8000000000000003, 0.2601129220556653 3.9, 0.12098886633367534 4.000000000000001, 0.18696688375536183 4.1000000000000005, 0.7765624512390624 4.2, 0.7402825693131811 4.300000000000001, 0.12072585948010806 4.4, -0.09986863989405756 4.500000000000001, -0.049815529284303536 4.6000000000000005, 0.17992748898830568 4.700000000000001, 0.19383355587577067 4.800000000000001, 0.06759783920630394 4.9, 0.06946359160457985 5.000000000000001, 0.191120571356874 5.1000000000000005, 0.8939142502867043 5.200000000000001, 0.6539622790546546 5.300000000000001, 1.0965862549659793 5.4, 1.435296226683987 5.500000000000001, 1.7217957807529647 5.6000000000000005, 1.3362974056037662 5.700000000000001, 1.4011463735306149 5.800000000000001, 1.130883662527289 5.9, 1.0237901546919783 6.000000000000001, 0.9857898756186811 6.1000000000000005, 0.8523567274992261 6.200000000000001, 0.6347827145619948 6.300000000000001, 0.7675097414988573 6.4, 0.6219665205673965 6.500000000000001, 0.4061875792350311 6.6000000000000005, -0.05252444838816839 6.700000000000001, 0.19050293255686215 6.800000000000001, -0.14566082395010901 6.9, -0.15892636183240735 7.000000000000001, -0.1709325264822339 7.1000000000000005, 0.06678766449038437 7.200000000000001, 0.4337665457336569 7.300000000000001, 0.43474401693774184 7.4, 0.1371404621477692 7.500000000000001, 0.2625935374203563 7.6000000000000005, -0.1074655568108106 7.700000000000001, -0.5784299705307789 7.800000000000001, -0.08706325861035258 7.9, 0.578537169266442 8, 0.7195695856188711 8.100000000000001, 0.0603465297563317 8.200000000000001, 0.1172194209447974 8.3, 0.3974472550010014 8.4, 0.07338835789406967 8.5, 0.1975641839142574 8.600000000000001, 0.490838121529039 8.700000000000001, 0.7465783300818285 8.8, 0.8999536528754863 8.9, 0.30266707705450246 9, 0.2491616034408033 9.100000000000001, 0.5226048224921569 9.200000000000001, 0.5023688464918853 9.3, 1.2314442368669294 9.4, 0.7505013633242987 9.500000000000002, 0.8880022198382426 9.600000000000001, 0.6944578626971581 9.700000000000001, 0.8119719517469877 9.8, 0.7072915049063949 9.9, 0.24868819897903516 10.000000000000002, 0.7166794679371644 -0.1, 0 0, 0.05186317809533604 0.1, 0.14821637188480485 0.20000000000000004, 0.3539992176442165 0.30000000000000004, 0.12271242693374562 0.4, 0.2964413584875795 0.5000000000000001, 0.4404878692630132 0.6000000000000001, 0.37255566813859137 0.7000000000000001, 0.7111978465791878 0.8, 0.4788641907560579 0.9, 0.08670528977217085 1, 0.2230701422846205 1.1, 0.4645095732982807 1.2, 0.08166112112322904 1.3, 0.014805178495394422 1.4, 0.5027172525767648 1.5, 0.37890727427158827 1.6, 0.35245683284662116 1.7, 0.43785397565229284 1.8, 1.2423651698182918 1.9, 1.3879188495377592 2, 1.1908524141157113 2.1, 1.1577937386886141 2.2, 1.644149216527725 2.3000000000000003, 2.200374573065134 2.4, 2.2618205573201076 2.5, 1.8498369434964614 2.6, 1.5096340290314756 2.7, 1.2487020102944355 2.8000000000000003, 0.7597777842489747 2.9, 0.634447140980514 3, 0.6761701891360488 3.1, 0.799711788712756 3.2, 0.6642048590504105 3.3000000000000003, 0.919431329372599 3.4, 0.8721403239101487 3.5, 1.0482652487624777 3.6, 0.8722236738943733 3.7, 0.7772089834044038 3.8000000000000003, 0.009059953637628237 3.9, 0.061753534464815185 4.000000000000001, -0.14948143553224144 4.1000000000000005, 0.13593608948638417 4.2, -0.3070468005907965 4.300000000000001, -0.1461786022501023 4.4, -0.7419995293902671 4.500000000000001, -0.5121084134545074 4.6000000000000005, -0.5778760572425439 4.700000000000001, -0.3545636026126958 4.800000000000001, -0.4098743132076324 4.9, -0.40151717204498294 5.000000000000001, -0.3446872256195975 5.1000000000000005, 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psigPlot wiener

As you can see, it draws a number of samples from the probability distribution. You ca change the number of samples drawn by using psigNPlot instead:

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psigNPlot 10 wiener

If you plot a lot of signals this way, your browser will feel very slow.

ppoints is the probabilistic equivalent of scatterPlot. It takes a probability distribution over list of pairs. ppoints does the same thing, but draws lines between the points. We will a suitable value here to illustrate:

myRandomPoints = prob
   xs = linspace 0 1 10
   ys ~ mapM (\x -> normal x 0.1) xs
   return (zip xs ys)
PlotRow [] [ppoints myRandomPoints, plines myRandomPoints]
[ {"x": 0,"y":-0.10699783990985745},{"x": 0.1,"y":0.25763179788179147},{"x": 0.2,"y":0.4867955066448138},{"x": 0.30000000000000004,"y":0.1721532701763897},{"x": 0.4,"y":0.6726643783916135},{"x": 0.5,"y":0.8153371338707949},{"x": 0.6000000000000001,"y":0.6574458734677688},{"x": 0.7000000000000001,"y":0.7436485352945026},{"x": 0.8,"y":0.7926139521282446},{"x": 0.9,"y":1.1109098611686057} ] [ {"x": 0,"y":0.6683905694553132},{"x": 0.1,"y":0.21611213585781333},{"x": 0.2,"y":0.1941872759619959},{"x": 0.30000000000000004,"y":0.6397903017896469},{"x": 0.4,"y":0.22259557171505648},{"x": 0.5,"y":0.2427761116049279},{"x": 0.6000000000000001,"y":0.8125471319724116},{"x": 0.7000000000000001,"y":0.5076022184512944},{"x": 0.8,"y":0.6726358119932352},{"x": 0.9,"y":0.3460796254283448} ] [ {"x": 0,"y":0.020587476368635175},{"x": 0.1,"y":-0.00011367151150172561},{"x": 0.2,"y":0.1411572187374461},{"x": 0.30000000000000004,"y":-0.12738703892367226},{"x": 0.4,"y":0.02655806580011366},{"x": 0.5,"y":0.9218328997292098},{"x": 0.6000000000000001,"y":0.6894479846644558},{"x": 0.7000000000000001,"y":0.7246330600625167},{"x": 0.8,"y":0.6280064106120049},{"x": 0.9,"y":1.1797882494893064} ] [ {"x": 0,"y":-0.17928925058799344},{"x": 0.1,"y":-0.034147031782515186},{"x": 0.2,"y":0.156436492636267},{"x": 0.30000000000000004,"y":0.5476716119656493},{"x": 0.4,"y":0.009230434771685947},{"x": 0.5,"y":-0.07399094638587722},{"x": 0.6000000000000001,"y":0.52683194335239},{"x": 0.7000000000000001,"y":0.3659348806982717},{"x": 0.8,"y":0.8038428217551352},{"x": 0.9,"y":0.7572448492975474} ] [ {"x": 0,"y":-0.21785014067231936},{"x": 0.1,"y":0.16352239141515357},{"x": 0.2,"y":0.7891235341723488},{"x": 0.30000000000000004,"y":0.8185472064937896},{"x": 0.4,"y":0.6463630378323917},{"x": 0.5,"y":0.09800625640134736},{"x": 0.6000000000000001,"y":0.5099680713558438},{"x": 0.7000000000000001,"y":0.6059566608988832},{"x": 0.8,"y":0.6622143451854812},{"x": 0.9,"y":0.6766672030684131} ] [ {"x": 0,"y":-0.3149067812478824},{"x": 0.1,"y":-0.048950587454876404},{"x": 0.2,"y":0.5208582527839278},{"x": 0.30000000000000004,"y":0.08911414985470192},{"x": 0.4,"y":0.40125020076675066},{"x": 0.5,"y":0.3976789495432528},{"x": 0.6000000000000001,"y":0.6780274395979763},{"x": 0.7000000000000001,"y":0.5752816902915262},{"x": 0.8,"y":0.6787066808314086},{"x": 0.9,"y":0.8056667918965518} ] [ {"x": 0,"y":0.3641572016532214},{"x": 0.1,"y":0.0390924343625873},{"x": 0.2,"y":0.6262460394337479},{"x": 0.30000000000000004,"y":0.6039765340178145},{"x": 0.4,"y":0.3997826131402031},{"x": 0.5,"y":0.4784752832366464},{"x": 0.6000000000000001,"y":0.350555514559058},{"x": 0.7000000000000001,"y":0.9493519941063633},{"x": 0.8,"y":0.5496583470077776},{"x": 0.9,"y":0.624903236279643} ] [ {"x": 0,"y":0.8128700267390956},{"x": 0.1,"y":0.0758966618735189},{"x": 0.2,"y":0.03284610320395262},{"x": 0.30000000000000004,"y":0.4361822402725392},{"x": 0.4,"y":0.47449293340900756},{"x": 0.5,"y":0.7907398371701622},{"x": 0.6000000000000001,"y":0.12644180924170073},{"x": 0.7000000000000001,"y":0.23226679782743076},{"x": 0.8,"y":0.9058459122715307},{"x": 0.9,"y":1.1229817819044121} ] [ {"x": 0,"y":-0.24883321301976916},{"x": 0.1,"y":0.2834871666364228},{"x": 0.2,"y":0.2185775896203279},{"x": 0.30000000000000004,"y":-0.4601699237284661},{"x": 0.4,"y":0.31714503760038076},{"x": 0.5,"y":0.21985668939241454},{"x": 0.6000000000000001,"y":0.6570575930110909},{"x": 0.7000000000000001,"y":0.6014906684639986},{"x": 0.8,"y":0.8507683829489695},{"x": 0.9,"y":1.0547328861813217} ] [ {"x": 0,"y":-0.11481823083541011},{"x": 0.1,"y":0.17160218459317084},{"x": 0.2,"y":0.1371447012195566},{"x": 0.30000000000000004,"y":-0.11275160298440634},{"x": 0.4,"y":0.2524668059539489},{"x": 0.5,"y":0.5791845637306834},{"x": 0.6000000000000001,"y":0.7613111041103784},{"x": 0.7000000000000001,"y":0.93430077056464},{"x": 0.8,"y":0.9976652514485175},{"x": 0.9,"y":0.7429786791706448} ] [ {"x": 0,"y":-0.6438014357593999},{"x": 0.1,"y":-0.2509378440819666},{"x": 0.2,"y":-0.021566867958935865},{"x": 0.30000000000000004,"y":0.37233394323865543},{"x": 0.4,"y":1.004880220089834},{"x": 0.5,"y":0.5118523075631367},{"x": 0.6000000000000001,"y":0.7801359630867901},{"x": 0.7000000000000001,"y":0.5760771198232821},{"x": 0.8,"y":1.4455656176750264},{"x": 0.9,"y":0.9748150416501397} ] [ {"x": 0,"y":-0.42599638796631495},{"x": 0.1,"y":0.0075914643841972634},{"x": 0.2,"y":0.1527768686767187},{"x": 0.30000000000000004,"y":-0.2219695929604285},{"x": 0.4,"y":0.2618419059010551},{"x": 0.5,"y":0.15525597211138892},{"x": 0.6000000000000001,"y":0.7423678401614177},{"x": 0.7000000000000001,"y":1.1068027301505476},{"x": 0.8,"y":0.4186614399034289},{"x": 0.9,"y":0.5348793462080215} ] [ {"x": 0,"y":0.09890930033703704},{"x": 0.1,"y":0.2595544671262595},{"x": 0.2,"y":0.2138433725935624},{"x": 0.30000000000000004,"y":0.12334700292417733},{"x": 0.4,"y":-0.07998313319188438},{"x": 0.5,"y":0.6636539976557759},{"x": 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0.6000000000000001,"y":0.3457076255403887},{"x": 0.7000000000000001,"y":1.0313724802487545},{"x": 0.8,"y":0.4270613117184851},{"x": 0.9,"y":0.996958933742887} ] [ {"x": 0,"y":0.12637254916692886},{"x": 0.1,"y":0.07749447265752404},{"x": 0.2,"y":-0.14772722149421386},{"x": 0.30000000000000004,"y":-0.3720073741457913},{"x": 0.4,"y":0.1536666665569501},{"x": 0.5,"y":-0.017292010323110563},{"x": 0.6000000000000001,"y":0.5510108151467846},{"x": 0.7000000000000001,"y":0.23337828561498736},{"x": 0.8,"y":0.8829451263056777},{"x": 0.9,"y":0.9857114744684138} ] [ {"x": 0,"y":0.10083464486785153},{"x": 0.1,"y":0.03618537139008446},{"x": 0.2,"y":0.04598464523972681},{"x": 0.30000000000000004,"y":0.005818213494779567},{"x": 0.4,"y":0.43726827496715315},{"x": 0.5,"y":0.9799331167239638},{"x": 0.6000000000000001,"y":0.8062665700963297},{"x": 0.7000000000000001,"y":0.524695983886796},{"x": 0.8,"y":0.7368695008258557},{"x": 0.9,"y":1.2941353492038665} ] [ {"x": 0,"y":-0.04317224206411658},{"x": 0.1,"y":-0.3385594984624115},{"x": 0.2,"y":-0.10417471648236748},{"x": 0.30000000000000004,"y":0.09806008662739418},{"x": 0.4,"y":0.08751608092092705},{"x": 0.5,"y":0.5186052224936272},{"x": 0.6000000000000001,"y":0.45132918728494187},{"x": 0.7000000000000001,"y":0.9946535653024307},{"x": 0.8,"y":1.4821226890068768},{"x": 0.9,"y":0.5267468492335042} ] [ {"x": 0,"y":-0.3909382211300948},{"x": 0.1,"y":-0.05656886588747059},{"x": 0.2,"y":0.1672563298197154},{"x": 0.30000000000000004,"y":0.742290572418237},{"x": 0.4,"y":0.4794343986733404},{"x": 0.5,"y":0.8255960649322163},{"x": 0.6000000000000001,"y":0.6529749996904443},{"x": 0.7000000000000001,"y":0.2819342129704521},{"x": 0.8,"y":0.6820902242972132},{"x": 0.9,"y":1.0688366051705485} ] [ {"x": 0,"y":-0.3093970762793499},{"x": 0.1,"y":-0.5799956590210822},{"x": 0.2,"y":-0.24236553692475193},{"x": 0.30000000000000004,"y":0.35792173609949124},{"x": 0.4,"y":0.6504538840873991},{"x": 0.5,"y":0.4706520226276169},{"x": 0.6000000000000001,"y":1.026581608234497},{"x": 0.7000000000000001,"y":0.6030448263805529},{"x": 0.8,"y":1.0056608654453},{"x": 0.9,"y":1.3683570988713847} ] [ {"x": 0,"y":-0.14571705304522686},{"x": 0.1,"y":-0.5614792895272578},{"x": 0.2,"y":0.0467478912183697},{"x": 0.30000000000000004,"y":0.5494187808774826},{"x": 0.4,"y":0.4129801481356283},{"x": 0.5,"y":0.09842522240524954},{"x": 0.6000000000000001,"y":1.0491686898250538},{"x": 0.7000000000000001,"y":0.5450094034649221},{"x": 0.8,"y":1.1313496104905039},{"x": 0.9,"y":0.966892444941571} ] [ {"x": 0,"y":0.04834390850471533},{"x": 0.1,"y":-0.0035639852254840676},{"x": 0.2,"y":-0.347686728021735},{"x": 0.30000000000000004,"y":0.3606128178501246},{"x": 0.4,"y":0.5098857964056437},{"x": 0.5,"y":0.5818536041829868},{"x": 0.6000000000000001,"y":0.5515443099638441},{"x": 0.7000000000000001,"y":0.9748658648258879},{"x": 0.8,"y":0.9747463568770334},{"x": 0.9,"y":0.7709074337694268} ] [ {"x": 0,"y":-0.39167319686426066},{"x": 0.1,"y":-0.20127130202264362},{"x": 0.2,"y":0.3916664125710777},{"x": 0.30000000000000004,"y":0.5230740675528424},{"x": 0.4,"y":0.27375760235275315},{"x": 0.5,"y":0.5491898100128216},{"x": 0.6000000000000001,"y":0.7350001578782777},{"x": 0.7000000000000001,"y":0.5270880043301363},{"x": 0.8,"y":0.6064149429078646},{"x": 0.9,"y":0.2663607679712132} ] [ {"x": 0,"y":0.01903936048760351},{"x": 0.1,"y":-0.17680805283994253},{"x": 0.2,"y":-0.3047923771454943},{"x": 0.30000000000000004,"y":0.3461419231299063},{"x": 0.4,"y":0.8862581392546542},{"x": 0.5,"y":0.36248283589849994},{"x": 0.6000000000000001,"y":0.5464587466765176},{"x": 0.7000000000000001,"y":0.6295864205387655},{"x": 0.8,"y":0.8717388895902559},{"x": 0.9,"y":0.8420325902624127} ] [ {"x": 0,"y":0.2754759985592884},{"x": 0.1,"y":-0.45847362659678104},{"x": 0.2,"y":0.32778456638799364},{"x": 0.30000000000000004,"y":0.5518093913212259},{"x": 0.4,"y":0.15217217508732397},{"x": 0.5,"y":0.9292932569691483},{"x": 0.6000000000000001,"y":0.6404139826957975},{"x": 0.7000000000000001,"y":0.4693465114119909},{"x": 0.8,"y":1.4785496185507863},{"x": 0.9,"y":1.2120970006695806} ] [ {"x": 0,"y":0.3961284521259506},{"x": 0.1,"y":-0.2400374706252271},{"x": 0.2,"y":-0.1517860351523158},{"x": 0.30000000000000004,"y":-0.15535431873899014},{"x": 0.4,"y":0.30364359423869164},{"x": 0.5,"y":-0.01702223232994693},{"x": 0.6000000000000001,"y":1.125845589590529},{"x": 0.7000000000000001,"y":1.1196609183936186},{"x": 0.8,"y":0.6861049220964384},{"x": 0.9,"y":0.8927172596266832} ] [ {"x": 0,"y":0.11044097741692},{"x": 0.1,"y":-0.2172156096529935},{"x": 0.2,"y":0.3583284606059886},{"x": 0.30000000000000004,"y":0.27880016770031624},{"x": 0.4,"y":0.3707644492148862},{"x": 0.5,"y":0.12192366969502866},{"x": 0.6000000000000001,"y":0.06634009717374267},{"x": 0.7000000000000001,"y":0.5735473613219206},{"x": 0.8,"y":0.821318787660469},{"x": 0.9,"y":0.9502177478752151} ]

This is pur first example of multi-panel plots, which will be described below.

Plot modifiers

There are a number of function that modify fundamental plots.

over superimposes a list of plots on a single plot with a single set of axes.

over [scatterPlot xyData, sigPlot s]
[ {"x": 1,"y":0},{"x": 2,"y":1.25},{"x": 3,"y":2.5},{"x": 4,"y":3.75},{"x": 5,"y":5},{"x": 6,"y":6.25},{"x": 7,"y":7.5},{"x": 8,"y":8.75} ] 0, 1 0.1, 0.9 0.2, 0.81 0.30000000000000004, 0.7290000000000001 0.4, 0.6561000000000001 0.5, 0.5904900000000001 0.6000000000000001, 0.531441 0.7000000000000001, 0.4782969 0.8, 0.43046721 0.9, 0.387420489 1, 0.3486784401 1.1, 0.31381059609 1.2000000000000002, 0.282429536481 1.3, 0.2541865828329 1.4000000000000001, 0.22876792454961 1.5, 0.20589113209464902 1.6, 0.1853020188851841 1.7000000000000002, 0.16677181699666568 1.8, 0.15009463529699912 1.9000000000000001, 0.1350851717672992 2, 0.12157665459056928 2.1, 0.10941898913151235 2.2, 0.09847709021836111 2.3000000000000003, 0.088629381196525 2.4000000000000004, 0.0797664430768725 2.5, 0.07178979876918525 2.6, 0.06461081889226672 2.7, 0.05814973700304005 2.8000000000000003, 0.052334763302736044 2.9000000000000004, 0.047101286972462436 3, 0.042391158275216195 3.1, 0.03815204244769457 3.2, 0.034336838202925116 3.3000000000000003, 0.030903154382632605 3.4000000000000004, 0.027812838944369346 3.5, 0.02503155504993241 3.6, 0.022528399544939168 3.7, 0.02027555959044525 3.8000000000000003, 0.018248003631400726 3.9000000000000004, 0.016423203268260654 4, 0.014780882941434589 4.1000000000000005, 0.01330279464729113 4.2, 0.011972515182562017 4.3, 0.010775263664305815 4.4, 0.009697737297875235 4.5, 0.00872796356808771 4.6000000000000005, 0.00785516721127894 4.7, 0.007069650490151046 4.800000000000001, 0.006362685441135941 4.9, 0.005726416897022347 5, 0.005153775207320112 5.1000000000000005, 0.0046383976865881004 5.2, 0.0041745579179292905 5.300000000000001, 0.0037571021261363613 5.4, 0.0033813919135227254 5.5, 0.003043252722170453 5.6000000000000005, 0.002738927449953408 5.7, 0.0024650347049580672 5.800000000000001, 0.0022185312344622605 5.9, 0.0019966781110160345 6, 0.0017970102999144309 6.1000000000000005, 0.0016173092699229878 6.2, 0.001455578342930689 6.300000000000001, 0.0013100205086376202 6.4, 0.001179018457773858 6.5, 0.0010611166119964723 6.6000000000000005, 0.0009550049507968251 6.7, 0.0008595044557171426 6.800000000000001, 0.0007735540101454283 6.9, 0.0006961986091308855 7, 0.0006265787482177969 7.1000000000000005, 0.0005639208733960172 7.2, 0.0005075287860564154 7.300000000000001, 0.0004567759074507739 7.4, 0.0004110983167056965 7.5, 0.00036998848503512683 7.6000000000000005, 0.00033298963653161415 7.7, 0.00029969067287845274 7.800000000000001, 0.00026972160559060745 7.9, 0.0002427494450315467 8, 0.00021847450052839203 8.1, 0.00019662705047555283 8.200000000000001, 0.00017696434542799753 8.3, 0.00015926791088519777 8.4, 0.00014334111979667798 8.5, 0.0001290070078170102 8.6, 0.00011610630703530917 8.700000000000001, 0.00010449567633177826 8.8, 0.00009404610869860043 8.9, 0.00008464149782874038 9, 0.00007617734804586634 9.1, 0.0000685596132412797 9.200000000000001, 0.00006170365191715173 9.3, 0.00005553328672543656 9.4, 0.0000499799580528929 9.5, 0.000044981962247603614 9.600000000000001, 0.00004048376602284325 9.700000000000001, 0.00003643538942055893 9.8, 0.00003279185047850304 9.9, 0.000029512665430652733 10, 0.00002656139888758746

axisLabels sets the plot x axis label (first argument) and y axis label (second argument) on the plot which is its third argument

axisLabels "cheese" "potato" (scatterPlot xyData)
[ {"x": 1,"y":0},{"x": 2,"y":1.25},{"x": 3,"y":2.5},{"x": 4,"y":3.75},{"x": 5,"y":5},{"x": 6,"y":6.25},{"x": 7,"y":7.5},{"x": 8,"y":8.75} ]

style allows you to specify the styles that correspond to Radian style properties. These are specified as a list of string-string pairs.

style [("marker", "square"), ("fill", "red")] (scatterPlot xyData)
[ {"x": 1,"y":0},{"x": 2,"y":1.25},{"x": 3,"y":2.5},{"x": 4,"y":3.75},{"x": 5,"y":5},{"x": 6,"y":6.25},{"x": 7,"y":7.5},{"x": 8,"y":8.75} ]

Style properties

See Radian documentation

Multipanel plots

The constructors PlotRow and PlotColumn can be used to nest plots. Both take an initial argument with is a list of style properties for that whole sub-plot.

PlotRow [] [ppoints myRandomPoints, PlotColumn [] [scatterPlot xyData, distPlot (normal 0 1)]]
[ {"x": 0,"y":-0.4715290512104461},{"x": 0.1,"y":0.3965940690429728},{"x": 0.2,"y":0.11915116002649284},{"x": 0.30000000000000004,"y":0.17095752910336892},{"x": 0.4,"y":0.6844567067671091},{"x": 0.5,"y":0.6326993516401301},{"x": 0.6000000000000001,"y":0.9917794083889545},{"x": 0.7000000000000001,"y":0.7454617503593379},{"x": 0.8,"y":0.7908309427853827},{"x": 0.9,"y":0.9745228405173088} ] [ {"x": 0,"y":-0.18871981169976582},{"x": 0.1,"y":0.16352928925740784},{"x": 0.2,"y":0.3749900114514234},{"x": 0.30000000000000004,"y":0.16451181750074212},{"x": 0.4,"y":0.9598133247492635},{"x": 0.5,"y":1.068969904384221},{"x": 0.6000000000000001,"y":0.6865885596231119},{"x": 0.7000000000000001,"y":0.533712474881394},{"x": 0.8,"y":0.8277542195721664},{"x": 0.9,"y":1.5940545634199528} ] [ {"x": 0,"y":-0.03170681107437493},{"x": 0.1,"y":-0.04606758740831729},{"x": 0.2,"y":0.3589106076522993},{"x": 0.30000000000000004,"y":-0.3940589107372917},{"x": 0.4,"y":-0.07146963085741082},{"x": 0.5,"y":1.1874008425276656},{"x": 0.6000000000000001,"y":0.2850419806287359},{"x": 0.7000000000000001,"y":0.8655053286346484},{"x": 0.8,"y":0.8937460434163766},{"x": 0.9,"y":1.3482574334008455} ] [ {"x": 0,"y":0.22626975420229517},{"x": 0.1,"y":-0.1346497226567199},{"x": 0.2,"y":-0.41535736463667133},{"x": 0.30000000000000004,"y":0.4941016331635177},{"x": 0.4,"y":-0.07106853429313764},{"x": 0.5,"y":0.7917578440192191},{"x": 0.6000000000000001,"y":0.5819364590634686},{"x": 0.7000000000000001,"y":0.28653253267187795},{"x": 0.8,"y":0.7304957510031403},{"x": 0.9,"y":0.6123907212562685} ] [ {"x": 0,"y":0.49051598865935514},{"x": 0.1,"y":0.2205078668705397},{"x": 0.2,"y":-0.34309630722971934},{"x": 0.30000000000000004,"y":0.5771331502448439},{"x": 0.4,"y":-0.009249923258181525},{"x": 0.5,"y":0.8302220858072131},{"x": 0.6000000000000001,"y":0.1566671812855585},{"x": 0.7000000000000001,"y":0.8833138734541595},{"x": 0.8,"y":0.9674301085095075},{"x": 0.9,"y":0.8166587852164184} ] [ {"x": 0,"y":-0.002073196949872441},{"x": 0.1,"y":0.032535064941594194},{"x": 0.2,"y":0.5187177896157218},{"x": 0.30000000000000004,"y":0.9299061834880251},{"x": 0.4,"y":0.6218303873515162},{"x": 0.5,"y":0.6330903968974564},{"x": 0.6000000000000001,"y":0.47899068749141954},{"x": 0.7000000000000001,"y":0.7657763157067947},{"x": 0.8,"y":0.5942285660909934},{"x": 0.9,"y":0.9115176123776715} ] [ {"x": 0,"y":0.1334800175117903},{"x": 0.1,"y":-0.22699256483222183},{"x": 0.2,"y":0.08008496262904545},{"x": 0.30000000000000004,"y":0.9019474617607035},{"x": 0.4,"y":0.5561773395622402},{"x": 0.5,"y":0.945779765781839},{"x": 0.6000000000000001,"y":0.4829799207691947},{"x": 0.7000000000000001,"y":0.9046104047612995},{"x": 0.8,"y":0.5962524113875919},{"x": 0.9,"y":1.390962998923225} ] [ {"x": 0,"y":0.06870234589091687},{"x": 0.1,"y":0.10790618318129243},{"x": 0.2,"y":0.2462955324172981},{"x": 0.30000000000000004,"y":0.5620373994334651},{"x": 0.4,"y":0.2168820211005675},{"x": 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Writing new plotting functions (advanced)

TODO