{ "cells": [ { "cell_type": "markdown", "id": "d35e3e3a-9875-488c-ad07-7cebfb7b0c84", "metadata": { "tags": [] }, "source": [ "# ROOT C++ notebook example\n", "\n", "This example uses the ROOT C++ kernel which is enabled automatically during ROOT installation.\n", "\n", "The example macro is taken from here: https://root.cern/doc/master/hstack_8C.html\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "050b52bf-8f14-43c9-be28-b20dc49ebdac", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6.30/02" ] } ], "source": [ "// print ROOT version\n", "cout << ROOT_RELEASE;" ] }, { "cell_type": "markdown", "id": "ba5341e9-15fd-49e6-8c8e-d8ae6ecd188a", "metadata": {}, "source": [ "1. Create three histograms and add them to the stack." ] }, { "cell_type": "code", "execution_count": 2, "id": "e3ca01bb-4bcd-4a78-8b95-c189e654343b", "metadata": { "tags": [] }, "outputs": [], "source": [ "auto hs = new THStack(\"hs\",\"Stacked 1D histograms\");\n", "auto h1st = new TH1F(\"h1st\",\"test hstack\",100,-4,4);\n", "h1st->FillRandom(\"gaus\",20000);\n", "h1st->SetFillColor(kRed);\n", "h1st->SetMarkerStyle(21);\n", "h1st->SetMarkerColor(kRed);\n", "hs->Add(h1st);\n", "auto h2st = new TH1F(\"h2st\",\"test hstack\",100,-4,4);\n", "h2st->FillRandom(\"gaus\",15000);\n", "h2st->SetFillColor(kBlue);\n", "h2st->SetMarkerStyle(21);\n", "h2st->SetMarkerColor(kBlue);\n", "hs->Add(h2st);\n", "auto h3st = new TH1F(\"h3st\",\"test hstack\",100,-4,4);\n", "h3st->FillRandom(\"gaus\",10000);\n", "h3st->SetFillColor(kGreen);\n", "h3st->SetMarkerStyle(21);\n", "h3st->SetMarkerColor(kGreen);\n", "hs->Add(h3st);" ] }, { "cell_type": "markdown", "id": "4190c62c-f874-410e-a2f7-27ddf68c0f42", "metadata": {}, "source": [ "2. Create a canvas (plots will appear after the canvas is drawn)." ] }, { "cell_type": "code", "execution_count": 3, "id": "d7b613db-6c56-4b27-9ce7-915a9d4e9f9e", "metadata": { "tags": [] }, "outputs": [], "source": [ "auto cst = new TCanvas(\"cst\",\"stacked hists\",10,10,700,700);\n", "cst->Divide(2,2);" ] }, { "cell_type": "markdown", "id": "9d34740f-7951-4b69-9cec-23c226c5e672", "metadata": {}, "source": [ "3. In top left pad, draw the stack with defaults." ] }, { "cell_type": "code", "execution_count": 4, "id": "845db206-80c6-4ee4-afbb-2e32d4339645", "metadata": { "tags": [] }, "outputs": [], "source": [ "cst->cd(1);\n", "hs->Draw();" ] }, { "cell_type": "markdown", "id": "86067056-7b94-4bd5-9a41-52889f8e7e1b", "metadata": {}, "source": [ "4. In top right pad, draw the stack in non-stack mode and errors option." ] }, { "cell_type": "code", "execution_count": 5, "id": "b6d2866c-0ee7-42c4-b41e-ab06d5999d60", "metadata": { "tags": [] }, "outputs": [], "source": [ "cst->cd(2);\n", "gPad->SetGrid();\n", "hs->Draw(\"nostack,e1p\");" ] }, { "cell_type": "markdown", "id": "303d9480-b62b-4163-8ea6-71c03e2e7384", "metadata": {}, "source": [ "5. In bottom left, draw in stack mode with `lego1` option." ] }, { "cell_type": "code", "execution_count": 6, "id": "dd10c956-1ac6-462b-9f9e-c9e2c4c25787", "metadata": { "tags": [] }, "outputs": [], "source": [ "cst->cd(3);\n", "gPad->SetFrameFillColor(17);\n", "gPad->SetTheta(3.77);\n", "gPad->SetPhi(2.9);\n", "hs->Draw(\"lego1\");" ] }, { "cell_type": "markdown", "id": "c2e9fbb4-4a89-444f-ab5b-f6e03e5a0d58", "metadata": {}, "source": [ "6. Create two 2-D histograms and draw them in stack mode in bottom right." ] }, { "cell_type": "code", "execution_count": 7, "id": "17e4ec6a-785e-4a28-bf60-5c62c76af741", "metadata": { "tags": [] }, "outputs": [], "source": [ "cst->cd(4);\n", "gPad->SetFrameFillColor(17);\n", "auto a = new THStack(\"a\",\"Stacked 2D histograms\");\n", "auto f1 = new TF2(\"f1\", \"xygaus + xygaus(5) + xylandau(10)\",-4,4,-4,4);\n", "Double_t params1[] = {130,-1.4,1.8,1.5,1, 150,2,0.5,-2,0.5,3600,-2,0.7,-3,0.3};\n", "f1->SetParameters(params1);\n", "auto h2sta = new TH2F(\"h2sta\",\"h2sta\",20,-4,4,20,-4,4);\n", "h2sta->SetFillColor(38);\n", "h2sta->FillRandom(\"f1\",4000);\n", "auto f2 = new TF2(\"f2\",\"xygaus + xygaus(5)\",-4,4,-4,4);\n", "Double_t params2[] = {100,-1.4,1.9,1.1,2, 80,2,0.7,-2,0.5};\n", "f2->SetParameters(params2);\n", "auto h2stb = new TH2F(\"h2stb\",\"h2stb\",20,-4,4,20,-4,4);\n", "h2stb->SetFillColor(46);\n", "h2stb->FillRandom(\"f2\",3000);\n", "a->Add(h2sta);\n", "a->Add(h2stb);\n", "a->Draw();" ] }, { "cell_type": "markdown", "id": "183ed733-cf0c-443f-a712-008332cc1315", "metadata": {}, "source": [ "7. Draw the canvas" ] }, { "cell_type": "code", "execution_count": 8, "id": "af339170-314c-459f-8deb-1b836b082622", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cst->Draw();" ] }, { "cell_type": "code", "execution_count": null, "id": "fa2fd90d-e9e6-4912-b5cd-5cf7bbc5c7f7", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "ROOT C++", "language": "c++", "name": "root" }, "language_info": { "codemirror_mode": "text/x-c++src", "file_extension": ".C", "mimetype": " text/x-c++src", "name": "c++" } }, "nbformat": 4, "nbformat_minor": 5 }