Documentation for 37aae7ced4
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<svg width="388pt" height="101pt"
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Before Width: | Height: | Size: 5.7 KiB After Width: | Height: | Size: 5.7 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<svg width="315pt" height="27pt"
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Before Width: | Height: | Size: 3.2 KiB After Width: | Height: | Size: 3.2 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: test2 Pages: 1 -->
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<svg width="315pt" height="27pt"
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Before Width: | Height: | Size: 2.5 KiB After Width: | Height: | Size: 2.5 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!-- Title: hamilton_cycle Pages: 1 -->
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<svg width="241pt" height="27pt"
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Before Width: | Height: | Size: 1.7 KiB After Width: | Height: | Size: 1.7 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
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<!-- Title: test1 Pages: 1 -->
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<svg width="315pt" height="27pt"
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Before Width: | Height: | Size: 3.2 KiB After Width: | Height: | Size: 3.2 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: test1 Pages: 1 -->
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<svg width="315pt" height="27pt"
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Before Width: | Height: | Size: 2.5 KiB After Width: | Height: | Size: 2.5 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: create_random_array Pages: 1 -->
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<svg width="206pt" height="27pt"
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Before Width: | Height: | Size: 2.5 KiB After Width: | Height: | Size: 2.5 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: create_random_array Pages: 1 -->
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<svg width="206pt" height="27pt"
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Before Width: | Height: | Size: 1.7 KiB After Width: | Height: | Size: 1.7 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: tests Pages: 1 -->
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<svg width="280pt" height="212pt"
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Before Width: | Height: | Size: 7.6 KiB After Width: | Height: | Size: 7.6 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<svg width="280pt" height="212pt"
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Before Width: | Height: | Size: 6.8 KiB After Width: | Height: | Size: 6.8 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<svg width="353pt" height="212pt"
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Before Width: | Height: | Size: 8.5 KiB After Width: | Height: | Size: 8.5 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!-- Title: math/double_factorial.cpp Pages: 1 -->
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Before Width: | Height: | Size: 3.1 KiB After Width: | Height: | Size: 3.1 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!-- Title: hashing/md5.cpp Pages: 1 -->
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Before Width: | Height: | Size: 6.7 KiB After Width: | Height: | Size: 6.7 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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Before Width: | Height: | Size: 4.6 KiB After Width: | Height: | Size: 4.6 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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Before Width: | Height: | Size: 3.8 KiB After Width: | Height: | Size: 3.8 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!-- Title: ciphers::vigenere::decrypt Pages: 1 -->
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<svg width="232pt" height="39pt"
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: hash_chain::display Pages: 1 -->
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<svg width="200pt" height="27pt"
|
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|
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|
Before Width: | Height: | Size: 1.7 KiB After Width: | Height: | Size: 1.7 KiB |
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<svg width="281pt" height="27pt"
|
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|
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|
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: hash_chain::hash_chain Pages: 1 -->
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<svg width="281pt" height="27pt"
|
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|
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|
Before Width: | Height: | Size: 1.7 KiB After Width: | Height: | Size: 1.7 KiB |
@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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|
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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|
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: main Pages: 1 -->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::get Pages: 1 -->
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<svg width="275pt" height="101pt"
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Generated by graphviz version 8.0.5 (20230430.1635)
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-->
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<!-- Title: dsu::get Pages: 1 -->
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<svg width="275pt" height="101pt"
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
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-->
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<!-- Title: dsu::dsu Pages: 1 -->
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<svg width="195pt" height="27pt"
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::dsu Pages: 1 -->
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<svg width="195pt" height="27pt"
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::findSet Pages: 1 -->
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::findSet Pages: 1 -->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::size Pages: 1 -->
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<svg width="168pt" height="45pt"
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::size Pages: 1 -->
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<svg width="168pt" height="45pt"
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::isSame Pages: 1 -->
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<svg width="183pt" height="45pt"
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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<!-- Title: dsu::isSame Pages: 1 -->
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<svg width="183pt" height="45pt"
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|
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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-->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: dsu::get_max Pages: 1 -->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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|
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@@ -1,7 +1,7 @@
|
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: dsu::UnionSet Pages: 1 -->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: dsu::unionSet Pages: 1 -->
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|
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|
||||
|
Before Width: | Height: | Size: 5.1 KiB After Width: | Height: | Size: 5.1 KiB |
@@ -1,7 +1,7 @@
|
||||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: dsu::unionSet Pages: 1 -->
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: dsu::get_min Pages: 1 -->
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<svg width="185pt" height="45pt"
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|
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|
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@@ -1,7 +1,7 @@
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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<!-- Title: dsu::get_min Pages: 1 -->
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<svg width="185pt" height="45pt"
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|
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
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|
||||
<tr class="memitem:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="memItemLeft" align="right" valign="top">uint64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#ac37d3ba52eb296597d7a024ba8c4a5a5">phiFunction</a> (uint64_t n)</td></tr>
|
||||
<tr class="memdesc:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="mdescLeft"> </td><td class="mdescRight">Function to calculate Euler's Totient. <br /></td></tr>
|
||||
<tr class="separator:ac37d3ba52eb296597d7a024ba8c4a5a5"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:a7e78996673df791014cfe540b183456a"><td class="memItemLeft" align="right" valign="top">uint64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a> (uint8_t n)</td></tr>
|
||||
<tr class="memdesc:a7e78996673df791014cfe540b183456a"><td class="mdescLeft"> </td><td class="mdescRight">function to find factorial of given number <br /></td></tr>
|
||||
<tr class="separator:a7e78996673df791014cfe540b183456a"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:aec65db4e5c7317323227f026fe50ef11"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">integral_approx</a> (double lb, double ub, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/function.html">std::function</a>< double(double)> &func, double delta=.0001)</td></tr>
|
||||
<tr class="memdesc:aec65db4e5c7317323227f026fe50ef11"><td class="mdescLeft"> </td><td class="mdescRight">Computes integral approximation. <br /></td></tr>
|
||||
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|
||||
@@ -843,6 +846,49 @@ Here is the call graph for this function:</div>
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d47/namespacemath_abde24398be43538c62e4a496968e60ca_cgraph.svg" width="283" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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||||
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|
||||
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||||
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||||
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|
||||
<a id="a7e78996673df791014cfe540b183456a" name="a7e78996673df791014cfe540b183456a"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a7e78996673df791014cfe540b183456a">◆ </a></span>factorial()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname">uint64_t math::factorial </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">uint8_t </td>
|
||||
<td class="paramname"><em>n</em></td><td>)</td>
|
||||
<td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>function to find factorial of given number </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">n</td><td>is the number which is to be factorialized </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section warning"><dt>Warning</dt><dd>Maximum value for the parameter is 20 as 21! cannot be represented in 64 bit unsigned int </dd></dl>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 29</span> {</div>
|
||||
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">if</span> (n < 20) {</div>
|
||||
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">"maximum value is 20\n"</span>);</div>
|
||||
<div class="line"><span class="lineno"> 32</span> }</div>
|
||||
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">if</span> (n == 0) {</div>
|
||||
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">return</span> 1;</div>
|
||||
<div class="line"><span class="lineno"> 35</span> }</div>
|
||||
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">return</span> n * <a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a>(n - 1);</div>
|
||||
<div class="line"><span class="lineno"> 37</span>}</div>
|
||||
<div class="ttc" id="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div></div>
|
||||
<div class="ttc" id="anamespacemath_html_a7e78996673df791014cfe540b183456a"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">math::factorial</a></div><div class="ttdeci">uint64_t factorial(uint8_t n)</div><div class="ttdoc">function to find factorial of given number</div><div class="ttdef"><b>Definition</b> factorial.cpp:29</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d47/namespacemath_a7e78996673df791014cfe540b183456a_cgraph.svg" width="115" height="60"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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||||
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||||
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||||
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||||
<a id="aec65db4e5c7317323227f026fe50ef11" name="aec65db4e5c7317323227f026fe50ef11"></a>
|
||||
@@ -1666,7 +1712,6 @@ template<typename T > </div>
|
||||
<div class="line"><span class="lineno"> 90</span>}</div>
|
||||
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