, so the level curve should be circles.In this example, a contour chart is created from 150, randomly choosen, scattered data points. The function is , so the level curve should be circles.
The input data is shown on top of the contours as small green circles. The chart data nodes are drawn in the order in which they are added, so the input data marker node has to be added to the axis after the contour, so that the markers are not hidden.
using Imsl.Chart2D;
using System;
using System.Windows.Forms;
public class ContourEx2 : FrameChart
{
public ContourEx2()
{
Chart chart = this.Chart;
int n = 150;
// Allocate space
double[] x = new double[n];
double[] y = new double[n];
double[] z = new double[n];
System.Random random = new System.Random((System.Int32) 123457);
double[] randomValue=new double[150];
randomValue[0]=0.41312962995625035;
randomValue[1]=0.8225528716547005;
randomValue[2]=0.44364905186692527;
randomValue[3]=0.9887088342522812;
randomValue[4]=0.9647868112234352;
randomValue[5]=0.5668831243079411;
randomValue[6]=0.27386697614898103;
randomValue[7]=0.8805853693809824;
randomValue[8]=0.7180829622748057;
randomValue[9]=0.6153607537410654;
randomValue[10]=0.3158193853638753;
randomValue[11]=0.10778543304578747;
randomValue[12]=0.09275375134615693;
randomValue[13]=0.9817642781628322;
randomValue[14]=0.467363186309925;
randomValue[15]=0.9066980293517674;
randomValue[16]=0.31440695305815347;
randomValue[17]=0.9991560762956562;
randomValue[18]=0.785150345014761;
randomValue[19]=0.7930129038729785;
randomValue[20]=0.5695413465811706;
randomValue[21]=0.7625752595574732;
randomValue[22]=0.0482465474704169;
randomValue[23]=0.09904819350827354;
randomValue[24]=0.7013979421419555;
randomValue[25]=0.8127581377189425;
randomValue[26]=0.2160980302718407;
randomValue[27]=0.2618716012466812;
randomValue[28]=0.966175212476057;
randomValue[29]=0.8929180151759015;
randomValue[30]=0.9253777827882632;
randomValue[31]=0.3192464623158826;
randomValue[32]=0.6191390558809441;
randomValue[33]=0.860615090126798;
randomValue[34]=0.4202423262221493;
randomValue[35]=0.3204335652731257;
randomValue[36]=0.3501592792324697;
randomValue[37]=0.08674811183862785;
randomValue[38]=0.5605305915601296;
randomValue[39]=0.6088802062708134;
randomValue[40]=0.8382035138841133;
randomValue[41]=0.9236987545556213;
randomValue[42]=0.8024356174828979;
randomValue[43]=0.18382779454152387;
randomValue[44]=0.9443198089192774;
randomValue[45]=0.07466011736504485;
randomValue[46]=0.2961809553169247;
randomValue[47]=0.597869137157411;
randomValue[48]=0.3126393883707773;
randomValue[49]=0.9461805842458413;
randomValue[50]=0.4952325691501952;
randomValue[51]=0.0974865497453884;
randomValue[52]=0.39893060081096055;
randomValue[53]=0.31595422264648054;
randomValue[54]=0.9215776190059227;
randomValue[55]=0.963602405500786;
randomValue[56]=0.1962353914644036;
randomValue[57]=0.897888992070645;
randomValue[58]=0.9816014888911522;
randomValue[59]=0.2591728892012697;
randomValue[60]=0.177119526412298;
randomValue[61]=0.6364841570839579;
randomValue[62]=0.9770940229311096;
randomValue[63]=0.44085669522358406;
randomValue[64]=0.22206796609570068;
randomValue[65]=0.8125478558454153;
randomValue[66]=0.7059166517811799;
randomValue[67]=0.5417895331224579;
randomValue[68]=0.5535562377071471;
randomValue[69]=0.2922863750389211;
randomValue[70]=0.2968612011640126;
randomValue[71]=0.882495829596943;
randomValue[72]=0.9453297028667043;
randomValue[73]=0.5017962685731009;
randomValue[74]=0.17323198276725293;
randomValue[75]=0.516968989592425;
randomValue[76]=0.7264211901923515;
randomValue[77]=0.9589904164393783;
randomValue[78]=0.2896822052185578;
randomValue[79]=0.8709512849886136;
randomValue[80]=0.3494389711171513;
randomValue[81]=0.444989615581906;
randomValue[82]=0.03683604460307233;
randomValue[83]=0.2794447857758138;
randomValue[84]=0.5426558540369049;
randomValue[85]=0.14701055330017276;
randomValue[86]=0.45822765810918564;
randomValue[87]=0.3804843649168811;
randomValue[88]=0.31543075674256227;
randomValue[89]=0.35478179229078655;
randomValue[90]=0.6740882045962612;
randomValue[91]=0.5722042439512296;
randomValue[92]=0.336494210223919;
randomValue[93]=0.5425187147067986;
randomValue[94]=0.6565124760451249;
randomValue[95]=0.9902292520993252;
randomValue[96]=0.4546287589180955;
randomValue[97]=0.9184888233730713;
randomValue[98]=0.7505359876181693;
randomValue[99]=0.7124220647583559;
randomValue[100]=0.3812755838294607;
randomValue[101]=0.7741986381086996;
randomValue[102]=0.5856540334323093;
randomValue[103]=0.1480175568946106;
randomValue[104]=0.8045988425857213;
randomValue[105]=0.21523348843743784;
randomValue[106]=0.2723138761466122;
randomValue[107]=0.8181756787842892;
randomValue[108]=0.45453852386561255;
randomValue[109]=0.10578123947146922;
randomValue[110]=0.027911361401003143;
randomValue[111]=0.9849840119600158;
randomValue[112]=0.8883835561320729;
randomValue[113]=0.30887148321746527;
randomValue[114]=0.6268231326584466;
randomValue[115]=0.8359413755618763;
randomValue[116]=0.01639605006272593;
randomValue[117]=0.5543612693431772;
randomValue[118]=0.3190057747399081;
randomValue[119]=0.18095345468573598;
randomValue[120]=0.6370180793354232;
randomValue[121]=0.5166986319820245;
randomValue[122]=0.11169309885740164;
randomValue[123]=0.8688720220933366;
randomValue[124]=0.5011922442391221;
randomValue[125]=0.9344952771865647;
randomValue[126]=0.5587227111699117;
randomValue[127]=0.3806089260426023;
randomValue[128]=0.6753272961079825;
randomValue[129]=0.8539394715414731;
randomValue[130]=0.4520234874494251;
randomValue[131]=0.3058558270067878;
randomValue[132]=0.2224399403890832;
randomValue[133]=0.3280806679102708;
randomValue[134]=0.05979465629761105;
randomValue[135]=0.660441325427476;
randomValue[136]=0.4710041931991943;
randomValue[137]=0.15401687157352573;
randomValue[138]=0.8059082103579294;
randomValue[139]=0.25135648562180013;
randomValue[140]=0.3910396401490016;
randomValue[141]=0.48001615607289505;
randomValue[142]=0.5350655938328643;
randomValue[143]=0.5464799882069644;
randomValue[144]=0.8469694582001581;
randomValue[145]=0.3646033096669923;
randomValue[146]=0.7582401994865531;
randomValue[147]=0.7560344451536601;
randomValue[148]=0.7467799442143332;
randomValue[149]=0.619643401693058;
double[] randomValueY=new double[150];
randomValueY[0]=0.15995876895053263;
randomValueY[1]=0.48794367683379836;
randomValueY[2]=0.20896329070872555;
randomValueY[3]=0.4781765623804778;
randomValueY[4]=0.6732389937186418;
randomValueY[5]=0.33081942994459734;
randomValueY[6]=0.10880787186704965;
randomValueY[7]=0.901138442534768;
randomValueY[8]=0.48723656383264413;
randomValueY[9]=0.10153552805288812;
randomValueY[10]=0.9558058275075961;
randomValueY[11]=0.011829287599608884;
randomValueY[12]=0.4859902873228249;
randomValueY[13]=0.5505301300240635;
randomValueY[14]=0.18652444274911184;
randomValueY[15]=0.9272326533193322;
randomValueY[16]=0.4215880116306273;
randomValueY[17]=0.0386317648903991;
randomValueY[18]=0.6451521871931544;
randomValueY[19]=0.819301055474355;
randomValueY[20]=0.039285689951912395;
randomValueY[21]=0.31325564481720314;
randomValueY[22]=0.6272275622766595;
randomValueY[23]=0.8934533907186641;
randomValueY[24]=0.5212913217641422;
randomValueY[25]=0.6237725863035143;
randomValueY[26]=0.3611731793838059;
randomValueY[27]=0.23163547542978535;
randomValueY[28]=0.7999943624102621;
randomValueY[29]=0.5393314259940907;
randomValueY[30]=0.10341603798162413;
randomValueY[31]=0.48822476962455685;
randomValueY[32]=0.5414223626279245;
randomValueY[33]=0.08241640235000847;
randomValueY[34]=0.27287579633296155;
randomValueY[35]=0.6770605504344167;
randomValueY[36]=0.8497059767892107;
randomValueY[37]=0.04142051621448373;
randomValueY[38]=0.30060172837976995;
randomValueY[39]=0.5378809821731352;
randomValueY[40]=0.9933333184285308;
randomValueY[41]=0.5755163489718148;
randomValueY[42]=0.12033991348116369;
randomValueY[43]=0.22044795260992822;
randomValueY[44]=0.7039752563092764;
randomValueY[45]=0.47510550779825345;
randomValueY[46]=0.47581191139276346;
randomValueY[47]=0.2746412789430772;
randomValueY[48]=0.8486627562667742;
randomValueY[49]=0.6911278265254134;
randomValueY[50]=0.47048601468635676;
randomValueY[51]=0.18480344365963364;
randomValueY[52]=0.5260974820985063;
randomValueY[53]=0.9965118715946334;
randomValueY[54]=0.03562254706322543;
randomValueY[55]=0.9366159496862719;
randomValueY[56]=0.8878769321024975;
randomValueY[57]=0.8930475165444577;
randomValueY[58]=0.24237426250726957;
randomValueY[59]=0.354788700886031;
randomValueY[60]=0.2354154511947073;
randomValueY[61]=0.1269624995880959;
randomValueY[62]=0.6337231423679252;
randomValueY[63]=0.19984371337284335;
randomValueY[64]=0.19334220894181153;
randomValueY[65]=0.42648351165619114;
randomValueY[66]=0.0020349209904862997;
randomValueY[67]=0.26227419862014245;
randomValueY[68]=0.010157565396595736;
randomValueY[69]=0.32466354319724255;
randomValueY[70]=0.2880125699286028;
randomValueY[71]=0.942360375989513;
randomValueY[72]=0.28692884801712293;
randomValueY[73]=0.18075667041036092;
randomValueY[74]=0.526829825487406;
randomValueY[75]=0.05392345053644676;
randomValueY[76]=0.6848072074260566;
randomValueY[77]=0.7634213162987096;
randomValueY[78]=0.017226310006998813;
randomValueY[79]=0.8402985996291047;
randomValueY[80]=0.41214609100356114;
randomValueY[81]=0.00903342798862894;
randomValueY[82]=0.13934521987605275;
randomValueY[83]=0.44080857560050446;
randomValueY[84]=0.5420034416544178;
randomValueY[85]=0.8183907621649894;
randomValueY[86]=0.49709491461841304;
randomValueY[87]=0.2960190585426765;
randomValueY[88]=0.4608082576003252;
randomValueY[89]=0.005089578506740633;
randomValueY[90]=0.3108158643301907;
randomValueY[91]=0.23005689707662969;
randomValueY[92]=0.9989728680293828;
randomValueY[93]=0.7588548659179764;
randomValueY[94]=0.23603371611553747;
randomValueY[95]=0.1982727511862804;
randomValueY[96]=0.04423243217165507;
randomValueY[97]=0.23710549829602878;
randomValueY[98]=0.03408034658051773;
randomValueY[99]=0.9385290439821878;
randomValueY[100]=0.6884926962578499;
randomValueY[101]=0.14803546698365633;
randomValueY[102]=0.7703636833850115;
randomValueY[103]=0.01439471413150828;
randomValueY[104]=0.2089671359503994;
randomValueY[105]=0.4384925493939328;
randomValueY[106]=0.466067663723164;
randomValueY[107]=0.9885280557996187;
randomValueY[108]=0.4343852116079696;
randomValueY[109]=0.4499354044927121;
randomValueY[110]=0.3790637460316687;
randomValueY[111]=0.7145286684532488;
randomValueY[112]=0.2970523498826292;
randomValueY[113]=0.15575074519991794;
randomValueY[114]=0.33981500752026883;
randomValueY[115]=0.9855399747339232;
randomValueY[116]=0.621543401362443;
randomValueY[117]=0.3432116007462742;
randomValueY[118]=0.8180541618673799;
randomValueY[119]=0.027883366004455068;
randomValueY[120]=0.45081070184878236;
randomValueY[121]=0.8533577155496994;
randomValueY[122]=0.6460168649513455;
randomValueY[123]=0.5780055157336823;
randomValueY[124]=0.46048777917596295;
randomValueY[125]=0.24207983525545718;
randomValueY[126]=0.574011233178295;
randomValueY[127]=0.5310197638599929;
randomValueY[128]=0.2621701535374652;
randomValueY[129]=0.4756887402397726;
randomValueY[130]=0.08410532225672551;
randomValueY[131]=0.3991230601447665;
randomValueY[132]=0.6464545787001537;
randomValueY[133]=0.524250367439074;
randomValueY[134]=0.13771323020945658;
randomValueY[135]=0.06816969003124507;
randomValueY[136]=0.06651758347488423;
randomValueY[137]=0.965968335289986;
randomValueY[138]=0.7828616693306287;
randomValueY[139]=0.5906828761391884;
randomValueY[140]=0.9130151004091689;
randomValueY[141]=0.9658950710812012;
randomValueY[142]=0.7969176634278117;
randomValueY[143]=0.003585724779986199;
randomValueY[144]=0.38108388460809595;
randomValueY[145]=0.24225280334829336;
randomValueY[146]=0.7905591927051523;
randomValueY[147]=0.4089325882708409;
randomValueY[148]=0.9802263978904657;
randomValueY[149]=0.8836456558655017;
for (int k = 0; k < n; k++)
{
x[k] = randomValue[k];
y[k] = randomValueY[k];
z[k] = System.Math.Sqrt(x[k] * x[k] + y[k] * y[k]);
}
// Setup the contour plot and its legend
AxisXY axis = new AxisXY(chart);
Contour contour = new Contour(axis, x, y, z);
contour.ContourLegend.IsVisible = true;
// Show the input data points as small green circles
Data dataPoints = new Data(axis, x, y);
dataPoints.DataType = Data.DATA_TYPE_MARKER;
dataPoints.MarkerType = Data.MARKER_TYPE_FILLED_CIRCLE;
dataPoints.MarkerColor = System.Drawing.Color.FromArgb(0, 255, 0);
dataPoints.MarkerSize = 0.5;
}
public static void Main(string[] argv)
{
System.Windows.Forms.Application.Run(new ContourEx2());
}
}
