{
"cells": [
{
"cell_type": "markdown",
"id": "8433fa50",
"metadata": {},
"source": [
"# logscales\n",
"Draw parametric functions with log scales.\n",
"\n",
"\n",
"\n",
"\n",
"**Author:** Olivier Couet \n",
"This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Tuesday, March 19, 2024 at 07:11 PM."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d85b6653",
"metadata": {
"collapsed": false,
"execution": {
"iopub.execute_input": "2024-03-19T19:11:31.257862Z",
"iopub.status.busy": "2024-03-19T19:11:31.257486Z",
"iopub.status.idle": "2024-03-19T19:11:32.937825Z",
"shell.execute_reply": "2024-03-19T19:11:32.936145Z"
}
},
"outputs": [],
"source": [
"TCanvas *c1 = new TCanvas(\"c1\", \"Various options on LOG scales plots\",0,0,700,900);\n",
"c1->SetFillColor(30);\n",
"\n",
"TPad *pad1 = new TPad(\"pad1\",\"pad1\",0.03,0.62,0.50,0.92,32);\n",
"TPad *pad2 = new TPad(\"pad2\",\"pad2\",0.51,0.62,0.98,0.92,33);\n",
"TPad *pad3 = new TPad(\"pad3\",\"pad3\",0.03,0.02,0.97,0.535,38);\n",
"pad1->Draw(); pad2->Draw(); pad3->Draw();\n",
"\n",
"TPaveLabel *title = new TPaveLabel(0.1,0.94,0.9,0.98, \"Various options on LOG scales plots\");\n",
"title->SetFillColor(16);\n",
"title->SetTextFont(42);\n",
"title->Draw();\n",
"\n",
"TPaveText *pave = new TPaveText(0.1,0.55,0.9,0.61);\n",
"pave->SetFillColor(42);\n",
"pave->SetTextAlign(12);\n",
"pave->SetTextFont(42);\n",
"pave->AddText(\"When more Log labels are requested, the overlapping labels are removed\");\n",
"pave->Draw();\n",
"\n",
"pad1->cd();\n",
"pad1->SetLogy();\n",
"pad1->SetGridy();\n",
"TF1 *f1 = new TF1(\"f1\",\"x*sin(x)*exp(-0.1*x)+15\",-10.,10.);\n",
"TF1 *f2 = new TF1(\"f2\",\"(sin(x)+cos(x))**5+15\",-10.,10.);\n",
"TF1 *f3 = new TF1(\"f3\",\"(sin(x)/(x)-x*cos(x))+15\",-10.,10.);\n",
"f1->SetLineWidth(1); f1->SetLineColor(2);\n",
"f2->SetLineWidth(1); f2->SetLineColor(3);\n",
"f3->SetLineWidth(1); f3->SetLineColor(4);\n",
"f1->Draw();\n",
"f2->Draw(\"same\");\n",
"f3->Draw(\"same\");\n",
"f1->GetYaxis()->SetMoreLogLabels();\n",
"TPaveText *pave1 = new TPaveText(-6,2,6,6);\n",
"pave1->SetFillColor(42);\n",
"pave1->SetTextAlign(12);\n",
"pave1->SetTextFont(42);\n",
"pave1->AddText(\"Log scale along Y axis.\");\n",
"pave1->AddText(\"More Log labels requested.\");\n",
"pave1->Draw();\n",
"\n",
"pad2->cd();\n",
"double x[10] = { 200, 300, 400, 500, 600, 650, 700, 710, 900,1000 };\n",
"double y[10] = { 200, 1000, 900, 400, 500, 250, 800, 150, 201, 220 };\n",
"TGraph *g_2 = new TGraph(10,x,y);\n",
"g_2->Draw(\"AL*\");\n",
"g_2->SetMarkerColor(2);\n",
"g_2->GetYaxis()->SetMoreLogLabels();\n",
"g_2->GetYaxis()->SetNoExponent();\n",
"pad2->SetLogy();\n",
"g_2->GetXaxis()->SetMoreLogLabels();\n",
"pad2->SetLogx();\n",
"pad2->SetGridx();\n",
"TPaveText *pave2 = new TPaveText(150,80,500,180);\n",
"pave2->SetFillColor(42);\n",
"pave2->SetTextFont(42);\n",
"pave2->SetTextAlign(12);\n",
"pave2->AddText(\"Log scale along X and Y axis.\");\n",
"pave2->AddText(\"More Log labels on both.\");\n",
"pave2->AddText(\"No exponent along Y axis.\");\n",
"pave2->Draw();\n",
"\n",
"pad3->cd();\n",
"pad3->SetGridx();\n",
"pad3->SetGridy();\n",
"pad3->SetLogy();\n",
"pad3->SetLogx();\n",
"TF1 *f4 = new TF1(\"f4a\",\"x*sin(x+10)+25\",1,21);\n",
"f4->SetLineWidth(1);\n",
"f4->Draw();\n",
"f4->SetNpx(200);\n",
"f4->GetYaxis()->SetMoreLogLabels();\n",
"f4->GetXaxis()->SetMoreLogLabels();\n",
"f4 = new TF1(\"f4b\",\"x*cos(x+10)*sin(x+10)+25\",1,21);\n",
"f4->SetLineWidth(1); f4->Draw(\"same\");\n",
"f4->SetNpx(200);\n",
"Int_t a = 20;\n",
"for (int i=a; i>=1; i--) {\n",
" f4 = new TF1(Form(\"f4b_%d\",i),\"x*sin(x+10)*[0]/[1]+25\",1,21);\n",
" f4->SetParameter(0,i);\n",
" f4->SetParameter(1,a);\n",
" f4->SetNpx(200);\n",
" f4->SetLineWidth(1); f4->SetLineColor(i+10);\n",
" f4->Draw(\"same\");\n",
" f4 = new TF1(Form(\"f4c_%d\",i),\"x*cos(x+10)*sin(x+10)*[0]/[1]+25\",1,25);\n",
" f4->SetParameter(0,i);\n",
" f4->SetParameter(1,a);\n",
" f4->SetNpx(200);\n",
" f4->SetLineWidth(1); f4->SetLineColor(i+30); f4->Draw(\"same\");\n",
"}\n",
"TPaveText *pave3 = new TPaveText(1.2,8,9,15);\n",
"pave3->SetFillColor(42);\n",
"pave3->AddText(\"Log scale along X and Y axis.\");\n",
"pave3->SetTextFont(42);\n",
"pave3->SetTextAlign(12);\n",
"pave3->AddText(\"More Log labels on both.\");\n",
"pave3->AddText(\"The labels have no exponents (they would be 0 or 1)\");\n",
"pave3->Draw();"
]
},
{
"cell_type": "markdown",
"id": "41b4e4b0",
"metadata": {},
"source": [
"Draw all canvases "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c0eecf95",
"metadata": {
"collapsed": false,
"execution": {
"iopub.execute_input": "2024-03-19T19:11:32.945016Z",
"iopub.status.busy": "2024-03-19T19:11:32.944592Z",
"iopub.status.idle": "2024-03-19T19:11:33.442852Z",
"shell.execute_reply": "2024-03-19T19:11:33.441700Z"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gROOT->GetListOfCanvases()->Draw()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "ROOT C++",
"language": "c++",
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