zero-network 0.1.10

Zero network privacy-preserving blockchain
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
<!DOCTYPE HTML>
<html lang="en" class="sidebar-visible no-js light">
    <head>
        <!-- Book generated using mdBook -->
        <meta charset="UTF-8">
        <title>pallet-plonk - Zero Network Documentation</title>


        <!-- Custom HTML head -->
        
        <meta content="text/html; charset=utf-8" http-equiv="Content-Type">
        <meta name="description" content="">
        <meta name="viewport" content="width=device-width, initial-scale=1">
        <meta name="theme-color" content="#ffffff" />

        <link rel="icon" href="favicon.svg">
        <link rel="shortcut icon" href="favicon.png">
        <link rel="stylesheet" href="css/variables.css">
        <link rel="stylesheet" href="css/general.css">
        <link rel="stylesheet" href="css/chrome.css">
        <link rel="stylesheet" href="css/print.css" media="print">

        <!-- Fonts -->
        <link rel="stylesheet" href="FontAwesome/css/font-awesome.css">
        <link rel="stylesheet" href="fonts/fonts.css">

        <!-- Highlight.js Stylesheets -->
        <link rel="stylesheet" href="highlight.css">
        <link rel="stylesheet" href="tomorrow-night.css">
        <link rel="stylesheet" href="ayu-highlight.css">

        <!-- Custom theme stylesheets -->

        <!-- MathJax -->
        <script async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
    </head>
    <body>
        <!-- Provide site root to javascript -->
        <script>
            var path_to_root = "";
            var default_theme = window.matchMedia("(prefers-color-scheme: dark)").matches ? "navy" : "light";
        </script>

        <!-- Work around some values being stored in localStorage wrapped in quotes -->
        <script>
            try {
                var theme = localStorage.getItem('mdbook-theme');
                var sidebar = localStorage.getItem('mdbook-sidebar');

                if (theme.startsWith('"') && theme.endsWith('"')) {
                    localStorage.setItem('mdbook-theme', theme.slice(1, theme.length - 1));
                }

                if (sidebar.startsWith('"') && sidebar.endsWith('"')) {
                    localStorage.setItem('mdbook-sidebar', sidebar.slice(1, sidebar.length - 1));
                }
            } catch (e) { }
        </script>

        <!-- Set the theme before any content is loaded, prevents flash -->
        <script>
            var theme;
            try { theme = localStorage.getItem('mdbook-theme'); } catch(e) { }
            if (theme === null || theme === undefined) { theme = default_theme; }
            var html = document.querySelector('html');
            html.classList.remove('no-js')
            html.classList.remove('light')
            html.classList.add(theme);
            html.classList.add('js');
        </script>

        <!-- Hide / unhide sidebar before it is displayed -->
        <script>
            var html = document.querySelector('html');
            var sidebar = 'hidden';
            if (document.body.clientWidth >= 1080) {
                try { sidebar = localStorage.getItem('mdbook-sidebar'); } catch(e) { }
                sidebar = sidebar || 'visible';
            }
            html.classList.remove('sidebar-visible');
            html.classList.add("sidebar-" + sidebar);
        </script>

        <nav id="sidebar" class="sidebar" aria-label="Table of contents">
            <div class="sidebar-scrollbox">
                <ol class="chapter"><li class="chapter-item expanded "><a href="0_0_zero_network.html"><strong aria-hidden="true">1.</strong> Zero Network</a></li><li class="chapter-item expanded "><a href="1_0_overview.html"><strong aria-hidden="true">2.</strong> Overview</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="1_1_what_is_privacy.html"><strong aria-hidden="true">2.1.</strong> What is Privacy</a></li><li class="chapter-item expanded "><a href="1_2_hide_transfer_amount.html"><strong aria-hidden="true">2.2.</strong> Hide Transfer Amount</a></li><li class="chapter-item expanded "><a href="1_3_gas_limit.html"><strong aria-hidden="true">2.3.</strong> Gas Limit</a></li><li class="chapter-item expanded "><a href="1_4_zero_knowledge_scheme.html"><strong aria-hidden="true">2.4.</strong> Zero Knowledge Scheme</a></li><li class="chapter-item expanded "><a href="1_5_transaction_constraints.html"><strong aria-hidden="true">2.5.</strong> Transaction Constraints</a></li></ol></li><li class="chapter-item expanded "><a href="2_0_transaction_constraints.html"><strong aria-hidden="true">3.</strong> Transaction Constraints</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="2_1_confidential_transfer.html"><strong aria-hidden="true">3.1.</strong> Confidential Transfer</a></li><li class="chapter-item expanded "><a href="2_2_confidential_smart_contract.html"><strong aria-hidden="true">3.2.</strong> Confidential Smart Contract</a></li></ol></li><li class="chapter-item expanded "><a href="3_0_primitive.html"><strong aria-hidden="true">4.</strong> Primitive</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="3_1_crypto.html"><strong aria-hidden="true">4.1.</strong> Crypto</a></li><li class="chapter-item expanded "><a href="3_2_jubjub.html"><strong aria-hidden="true">4.2.</strong> Jubjub</a></li><li class="chapter-item expanded "><a href="3_3_bls12_381.html"><strong aria-hidden="true">4.3.</strong> Bls12 381</a></li><li class="chapter-item expanded "><a href="3_4_elgamal.html"><strong aria-hidden="true">4.4.</strong> ElGamal</a></li><li class="chapter-item expanded "><a href="3_5_pairing.html"><strong aria-hidden="true">4.5.</strong> Pairing</a></li></ol></li><li class="chapter-item expanded "><a href="4_0_pallet.html"><strong aria-hidden="true">5.</strong> Pallet</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="4_1_plonk.html"><strong aria-hidden="true">5.1.</strong> Plonk</a></li><li class="chapter-item expanded "><a href="4_2_encrypted_balance.html"><strong aria-hidden="true">5.2.</strong> Encrypted Balance</a></li><li class="chapter-item expanded "><a href="4_3_confidential_transfer.html"><strong aria-hidden="true">5.3.</strong> Confidential Transfer</a></li></ol></li><li class="chapter-item expanded "><a href="5_0_related_tools.html"><strong aria-hidden="true">6.</strong> Related Tools</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="5_1_stealth_address.html"><strong aria-hidden="true">6.1.</strong> Stealth Address</a></li><li class="chapter-item expanded "><a href="5_2_pedersen_commitment.html"><strong aria-hidden="true">6.2.</strong> Pedersen Commitment</a></li><li class="chapter-item expanded "><a href="5_3_non_interactive_zero_knowlege_proof.html"><strong aria-hidden="true">6.3.</strong> Non Interactive Zero Knowledge Proof</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="5_3_1_qap.html"><strong aria-hidden="true">6.3.1.</strong> QAP</a></li><li class="chapter-item expanded "><a href="5_3_2_polynomial_commitment.html"><strong aria-hidden="true">6.3.2.</strong> Polynomial Commitment</a></li><li class="chapter-item expanded "><a href="5_3_3_homomorphic_encryption.html"><strong aria-hidden="true">6.3.3.</strong> Homomorphic Encryption</a></li></ol></li></ol></li><li class="chapter-item expanded "><a href="6_0_tutorial.html"><strong aria-hidden="true">7.</strong> Tutorial</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="6_1_plonk_pallet.html" class="active"><strong aria-hidden="true">7.1.</strong> pallet-plonk</a></li><li class="chapter-item expanded "><a href="6_2_confidential_transfer.html"><strong aria-hidden="true">7.2.</strong> confidential_transfer</a></li></ol></li><li class="chapter-item expanded "><a href="7_0_frequent_errors.html"><strong aria-hidden="true">8.</strong> Frequent Errors</a></li></ol>
            </div>
            <div id="sidebar-resize-handle" class="sidebar-resize-handle"></div>
        </nav>

        <div id="page-wrapper" class="page-wrapper">

            <div class="page">
                                <div id="menu-bar-hover-placeholder"></div>
                <div id="menu-bar" class="menu-bar sticky bordered">
                    <div class="left-buttons">
                        <button id="sidebar-toggle" class="icon-button" type="button" title="Toggle Table of Contents" aria-label="Toggle Table of Contents" aria-controls="sidebar">
                            <i class="fa fa-bars"></i>
                        </button>
                        <button id="theme-toggle" class="icon-button" type="button" title="Change theme" aria-label="Change theme" aria-haspopup="true" aria-expanded="false" aria-controls="theme-list">
                            <i class="fa fa-paint-brush"></i>
                        </button>
                        <ul id="theme-list" class="theme-popup" aria-label="Themes" role="menu">
                            <li role="none"><button role="menuitem" class="theme" id="light">Light (default)</button></li>
                            <li role="none"><button role="menuitem" class="theme" id="rust">Rust</button></li>
                            <li role="none"><button role="menuitem" class="theme" id="coal">Coal</button></li>
                            <li role="none"><button role="menuitem" class="theme" id="navy">Navy</button></li>
                            <li role="none"><button role="menuitem" class="theme" id="ayu">Ayu</button></li>
                        </ul>
                        <button id="search-toggle" class="icon-button" type="button" title="Search. (Shortkey: s)" aria-label="Toggle Searchbar" aria-expanded="false" aria-keyshortcuts="S" aria-controls="searchbar">
                            <i class="fa fa-search"></i>
                        </button>
                    </div>

                    <h1 class="menu-title">Zero Network Documentation</h1>

                    <div class="right-buttons">
                        <a href="print.html" title="Print this book" aria-label="Print this book">
                            <i id="print-button" class="fa fa-print"></i>
                        </a>

                    </div>
                </div>

                <div id="search-wrapper" class="hidden">
                    <form id="searchbar-outer" class="searchbar-outer">
                        <input type="search" id="searchbar" name="searchbar" placeholder="Search this book ..." aria-controls="searchresults-outer" aria-describedby="searchresults-header">
                    </form>
                    <div id="searchresults-outer" class="searchresults-outer hidden">
                        <div id="searchresults-header" class="searchresults-header"></div>
                        <ul id="searchresults">
                        </ul>
                    </div>
                </div>

                <!-- Apply ARIA attributes after the sidebar and the sidebar toggle button are added to the DOM -->
                <script>
                    document.getElementById('sidebar-toggle').setAttribute('aria-expanded', sidebar === 'visible');
                    document.getElementById('sidebar').setAttribute('aria-hidden', sidebar !== 'visible');
                    Array.from(document.querySelectorAll('#sidebar a')).forEach(function(link) {
                        link.setAttribute('tabIndex', sidebar === 'visible' ? 0 : -1);
                    });
                </script>

                <div id="content" class="content">
                    <main>
                        <h1 id="pallet-plonk"><a class="header" href="#pallet-plonk">pallet-plonk</a></h1>
<p>In this tutorial, we are going to import plonk-pallet to substrate runtime and test its functionalities.</p>
<p>The steps are following.</p>
<ol>
<li>Define the plonk-pallet as depencencies</li>
<li>Couple the plonk-pallet to your own pallet</li>
<li>Define the plonk-pallet functions on your pallet</li>
<li>Import the coupling pallet to TestRuntime and define your Circuit</li>
<li>Test whether the functions work correctly</li>
</ol>
<h2 id="1-define-the-plonk-pallet-as-depencencies"><a class="header" href="#1-define-the-plonk-pallet-as-depencencies">1. Define the plonk-pallet as depencencies</a></h2>
<p>First of all, you need to define the <code>plonk-pallet</code> when you start to implement your pallet. Please define as following.</p>
<ul>
<li><your-pallet>/Cargo.toml</li>
</ul>
<pre><code class="language-toml">[dependencies]
pallet-plonk = { git = &quot;https://github.com/zero-network/zero&quot;, branch = &quot;master&quot;, default-features = false }
zero-jubjub = { git = &quot;https://github.com/zero-network/zero&quot;, branch = &quot;master&quot;, default-features = false }
zero-plonk = { git = &quot;https://github.com/zero-network/zero&quot;, branch = &quot;master&quot;, default-features = false }
rand_core = {version=&quot;0.6&quot;, default-features = false }
</code></pre>
<p>The <code>plonk-pallet</code> depends on <code>rand_core</code> so please import it.</p>
<h2 id="2-couple-the-plonk-pallet-to-your-own-pallet"><a class="header" href="#2-couple-the-plonk-pallet-to-your-own-pallet">2. Couple the plonk-pallet to your own pallet</a></h2>
<p>The next, the <code>plonk-pallet</code> need to be coupled with your pallet. Please couple the pallet <code>Config</code> as following.</p>
<ul>
<li><your-pallet>/src/main.rs</li>
</ul>
<pre><code class="language-rs">#[frame_support::pallet]
pub mod pallet {
    use frame_support::pallet_prelude::*;
    use frame_system::pallet_prelude::*;
    pub use plonk_pallet::{FullcodecRng, Proof, PublicInputValue, Transcript, VerifierData};

    /// Coupling configuration trait with plonk_pallet.
    #[pallet::config]
    pub trait Config: frame_system::Config + plonk_pallet::Config {
        /// The overarching event type.
        type Event: From&lt;Event&lt;Self&gt;&gt; + IsType&lt;&lt;Self as frame_system::Config&gt;::Event&gt;;
    }
</code></pre>
<p>With this step, you can use the <code>plonk-pallet</code> in your pallet through <code>Module</code>.</p>
<h2 id="3-define-the-plonk-pallet-functions-on-your-pallet"><a class="header" href="#3-define-the-plonk-pallet-functions-on-your-pallet">3. Define the plonk-pallet functions on your pallet</a></h2>
<p>The next, let's define the <code>plonk-pallet</code> function on your pallet. We are going to define the <code>trusted_setup</code> function which generates the public parameters refered as to <code>srs</code> and the <code>verify</code> function which verified the proof. In this tutorial, we use <a href="https://github.com/JoshOrndorff/recipes/blob/master/pallets/sum-storage/src/main.rs">sum-storage</a> pallet as example and add the <code>verify</code> function before set <code>Thing1</code> storage value on <code>set_thing_1</code>. If the <code>verify</code> is success, the <code>set_thing_1</code> can set <code>Thing1</code> value.</p>
<ul>
<li><your-pallet>/src/main.rs</li>
</ul>
<pre><pre class="playground"><code class="language-rust"><span class="boring">#![allow(unused)]
</span><span class="boring">fn main() {
</span>    // The module's dispatchable functions.
    #[pallet::call]
    impl&lt;T: Config&gt; Pallet&lt;T&gt; {
        // Coupled trusted setup
        #[pallet::weight(10_000)]
        pub fn trusted_setup(
            origin: OriginFor&lt;T&gt;,
            val: u32,
            rng: FullcodecRng,
        ) -&gt; DispatchResultWithPostInfo {
            pallet_plonk::Pallet::&lt;T&gt;::trusted_setup(origin, val, rng)?;
            Ok(().into())
        }

        /// Sets the first simple storage value
        #[pallet::weight(10_000)]
        pub fn set_thing_1(
            origin: OriginFor&lt;T&gt;,
            val: u32,
            proof: Proof,
            public_inputs: Vec&lt;Fr&gt;,
        ) -&gt; DispatchResultWithPostInfo {
            // Define the proof verification
            pallet_plonk::Pallet::&lt;T&gt;::verify(origin, proof, public_inputs)?;

            Thing1::&lt;T&gt;::put(val);

            Self::deposit_event(Event::ValueSet(1, val));
            Ok(().into())
        }
<span class="boring">}</span></code></pre></pre>
<p>With this step, we can check whether the proof is valid before setting the <code>Thing1</code> value and only if the proof is valid, the value is set.</p>
<h2 id="4-import-the-coupling-pallet-to-testruntime-and-define-your-circuit"><a class="header" href="#4-import-the-coupling-pallet-to-testruntime-and-define-your-circuit">4. Import the coupling pallet to TestRuntime and define your Circuit</a></h2>
<p>We already imported the <code>plonk-pallet</code> functions so we are going to import it to <code>TestRumtime</code> and define your customized <code>Circuit</code>.</p>
<p>In order to use <code>plonk-pallet</code> in <code>TestRuntime</code>, we need to import <code>plonk-pallet</code> crate and define the pallet config to <code>construct_runtime</code> as following.</p>
<ul>
<li>runtime/src/main.rs</li>
</ul>
<pre><pre class="playground"><code class="language-rust"><span class="boring">#![allow(unused)]
</span><span class="boring">fn main() {
</span>use crate::{self as sum_storage, Config};

use frame_support::dispatch::{DispatchError, DispatchErrorWithPostInfo, PostDispatchInfo};
use frame_support::{assert_ok, construct_runtime, parameter_types};

// Import `plonk_pallet` and dependency
pub use plonk_pallet::*;
use rand_core::SeedableRng;

--- snip ---

construct_runtime!(
    pub enum TestRuntime where
        Block = Block,
        NodeBlock = Block,
        UncheckedExtrinsic = UncheckedExtrinsic,
    {
        System: frame_system::{Module, Call, Config, Storage, Event&lt;T&gt;},
        // Define the `plonk_pallet` in `contruct_runtime`
        Plonk: plonk_pallet::{Module, Call, Storage, Event&lt;T&gt;},
        {YourPallet}: {your_pallet}::{Module, Call, Storage, Event&lt;T&gt;},
    }
);
<span class="boring">}</span></code></pre></pre>
<p>As the final step of runtime configuration, we define the zk-SNARKs circuit and extend the <code>TestRuntime</code> config with it. You can replace <code>TestCircuit</code> with your own circuit.</p>
<ul>
<li>runtime/src/main.rs</li>
</ul>
<pre><pre class="playground"><code class="language-rust"><span class="boring">#![allow(unused)]
</span><span class="boring">fn main() {
</span>// Implement a circuit that checks:
// 1) a + b = c where C is a PI
// 2) a &lt;= 2^6
// 3) b &lt;= 2^5
// 4) a * b = d where D is a PI
// 5) JubJub::GENERATOR * e(JubJubScalar) = f where F is a Public Input

#[derive(Debug, Default)]
pub struct TestCircuit {
    pub a: BlsScalar,
    pub b: BlsScalar,
    pub c: BlsScalar,
    pub d: BlsScalar,
    pub e: JubJubScalar,
    pub f: JubJubAffine,
}

impl Circuit for TestCircuit {
    fn circuit&lt;C&gt;(&amp;self, composer: &amp;mut C) -&gt; Result&lt;(), Error&gt;
    where
        C: Composer,
    {
        let a = composer.append_witness(self.a);
        let b = composer.append_witness(self.b);

        // Make first constraint a + b = c
        let constraint = Constraint::new().left(1).right(1).public(-self.c).a(a).b(b);

        composer.append_gate(constraint);

        // Check that a and b are in range
        composer.component_range(a, 1 &lt;&lt; 6);
        composer.component_range(b, 1 &lt;&lt; 5);

        // Make second constraint a * b = d
        let constraint = Constraint::new()
            .mult(1)
            .output(1)
            .public(-self.d)
            .a(a)
            .b(b);

        composer.append_gate(constraint);

        let e = composer.append_witness(self.e);
        let scalar_mul_result = composer.component_mul_generator(e, GENERATOR_EXTENDED)?;
        composer.assert_equal_public_point(scalar_mul_result, self.f);
        Ok(())
    }
}

impl plonk_pallet::Config for TestRuntime {
    type CustomCircuit = TestCircuit;
    type Event = Event;
}
<span class="boring">}</span></code></pre></pre>
<p>With this step, we finish to setup the plonk runtime environment.</p>
<h2 id="5-test-whether-the-functions-work-correctly"><a class="header" href="#5-test-whether-the-functions-work-correctly">5. Test whether the functions work correctly</a></h2>
<p>The plonk functions is available on your pallet so we are going to test them as following tests.</p>
<ul>
<li><your-pallet>/src/main.rs</li>
</ul>
<pre><pre class="playground"><code class="language-rust">fn main() {
    let mut rng = get_rng();
    let label = b&quot;verify&quot;;
    let test_circuit = TestCircuit {
        a: BlsScalar::from(20u64),
        b: BlsScalar::from(5u64),
        c: BlsScalar::from(25u64),
        d: BlsScalar::from(100u64),
        e: JubJubScalar::from(2u64),
        f: JubJubAffine::from(GENERATOR_EXTENDED * JubJubScalar::from(2u64)),
    };

    new_test_ext().execute_with(|| {
        assert_eq!(SumStorage::get_sum(), 0);
        assert_ok!(Plonk::trusted_setup(Origin::signed(1), 12, rng.clone()));

        let pp = Plonk::public_parameter().unwrap();
        let (prover, _) =
            Compiler::compile::&lt;TestCircuit&gt;(&amp;pp, label).expect(&quot;failed to compile circuit&quot;);

        let (proof, public_inputs) = prover
            .prove(&amp;mut rng, &amp;test_circuit)
            .expect(&quot;failed to prove&quot;);

        assert_ok!(SumStorage::set_thing_1(
            Origin::signed(1),
            42,
            proof,
            public_inputs
        ));
        assert_eq!(SumStorage::get_sum(), 42);
    })
}
</code></pre></pre>
<p>With above tests, we can confirm that your pallet is coupling with <code>plonk-pallet</code> and these functions work correctly. You can check the <code>plonk-pallet</code> example <a href="https://github.com/zero-network/zero/pallet_plonk.rs">here</a>. Happy hacking!</p>

                    </main>

                    <nav class="nav-wrapper" aria-label="Page navigation">
                        <!-- Mobile navigation buttons -->
                            <a rel="prev" href="6_0_tutorial.html" class="mobile-nav-chapters previous" title="Previous chapter" aria-label="Previous chapter" aria-keyshortcuts="Left">
                                <i class="fa fa-angle-left"></i>
                            </a>

                            <a rel="next" href="6_2_confidential_transfer.html" class="mobile-nav-chapters next" title="Next chapter" aria-label="Next chapter" aria-keyshortcuts="Right">
                                <i class="fa fa-angle-right"></i>
                            </a>

                        <div style="clear: both"></div>
                    </nav>
                </div>
            </div>

            <nav class="nav-wide-wrapper" aria-label="Page navigation">
                    <a rel="prev" href="6_0_tutorial.html" class="nav-chapters previous" title="Previous chapter" aria-label="Previous chapter" aria-keyshortcuts="Left">
                        <i class="fa fa-angle-left"></i>
                    </a>

                    <a rel="next" href="6_2_confidential_transfer.html" class="nav-chapters next" title="Next chapter" aria-label="Next chapter" aria-keyshortcuts="Right">
                        <i class="fa fa-angle-right"></i>
                    </a>
            </nav>

        </div>




        <script>
            window.playground_copyable = true;
        </script>


        <script src="elasticlunr.min.js" charset="utf-8"></script>
        <script src="mark.min.js" charset="utf-8"></script>
        <script src="searcher.js" charset="utf-8"></script>

        <script src="clipboard.min.js" charset="utf-8"></script>
        <script src="highlight.js" charset="utf-8"></script>
        <script src="book.js" charset="utf-8"></script>

        <!-- Custom JS scripts -->


    </body>
</html>