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<span class='kw'>use</span> <span class='ident'>std</span>::<span class='ident'>ops</span>::{<span class='ident'>Add</span>, <span class='ident'>Mul</span>};
<span class='doccomment'>/// Defines an additive identity element for `Self`.</span>
<span class='kw'>pub</span> <span class='kw'>trait</span> <span class='ident'>Zero</span>: <span class='ident'>Sized</span> <span class='op'>+</span> <span class='ident'>Add</span><span class='op'><</span><span class='self'>Self</span>, <span class='ident'>Output</span> <span class='op'>=</span> <span class='self'>Self</span><span class='op'>></span> {
<span class='doccomment'>/// Returns the additive identity element of `Self`, `0`.</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// # Laws</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// ```{.text}</span>
<span class='doccomment'>/// a + 0 = a ∀ a ∈ Self</span>
<span class='doccomment'>/// 0 + a = a ∀ a ∈ Self</span>
<span class='doccomment'>/// ```</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// # Purity</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// This function should return the same result at all times regardless of</span>
<span class='doccomment'>/// external mutable state, for example values stored in TLS or in</span>
<span class='doccomment'>/// `static mut`s.</span>
<span class='comment'>// FIXME (#5527): This should be an associated constant</span>
<span class='kw'>fn</span> <span class='ident'>zero</span>() <span class='op'>-></span> <span class='self'>Self</span>;
<span class='doccomment'>/// Returns `true` if `self` is equal to the additive identity.</span>
<span class='attribute'>#[<span class='ident'>inline</span>]</span>
<span class='kw'>fn</span> <span class='ident'>is_zero</span>(<span class='kw-2'>&</span><span class='self'>self</span>) <span class='op'>-></span> <span class='ident'>bool</span>;
}
<span class='macro'>macro_rules</span><span class='macro'>!</span> <span class='ident'>zero_impl</span> {
(<span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>t</span>:<span class='ident'>ty</span>, <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>v</span>:<span class='ident'>expr</span>) <span class='op'>=></span> {
<span class='kw'>impl</span> <span class='ident'>Zero</span> <span class='kw'>for</span> <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>t</span> {
<span class='attribute'>#[<span class='ident'>inline</span>]</span>
<span class='kw'>fn</span> <span class='ident'>zero</span>() <span class='op'>-></span> <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>t</span> { <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>v</span> }
<span class='attribute'>#[<span class='ident'>inline</span>]</span>
<span class='kw'>fn</span> <span class='ident'>is_zero</span>(<span class='kw-2'>&</span><span class='self'>self</span>) <span class='op'>-></span> <span class='ident'>bool</span> { <span class='op'>*</span><span class='self'>self</span> <span class='op'>==</span> <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>v</span> }
}
}
}
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>usize</span>, <span class='number'>0usize</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>u8</span>, <span class='number'>0u8</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>u16</span>, <span class='number'>0u16</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>u32</span>, <span class='number'>0u32</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>u64</span>, <span class='number'>0u64</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>isize</span>, <span class='number'>0isize</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>i8</span>, <span class='number'>0i8</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>i16</span>, <span class='number'>0i16</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>i32</span>, <span class='number'>0i32</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>i64</span>, <span class='number'>0i64</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>f32</span>, <span class='number'>0.0f32</span>);
<span class='macro'>zero_impl</span><span class='macro'>!</span>(<span class='ident'>f64</span>, <span class='number'>0.0f64</span>);
<span class='doccomment'>/// Defines a multiplicative identity element for `Self`.</span>
<span class='kw'>pub</span> <span class='kw'>trait</span> <span class='ident'>One</span>: <span class='ident'>Sized</span> <span class='op'>+</span> <span class='ident'>Mul</span><span class='op'><</span><span class='self'>Self</span>, <span class='ident'>Output</span> <span class='op'>=</span> <span class='self'>Self</span><span class='op'>></span> {
<span class='doccomment'>/// Returns the multiplicative identity element of `Self`, `1`.</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// # Laws</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// ```{.text}</span>
<span class='doccomment'>/// a * 1 = a ∀ a ∈ Self</span>
<span class='doccomment'>/// 1 * a = a ∀ a ∈ Self</span>
<span class='doccomment'>/// ```</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// # Purity</span>
<span class='doccomment'>///</span>
<span class='doccomment'>/// This function should return the same result at all times regardless of</span>
<span class='doccomment'>/// external mutable state, for example values stored in TLS or in</span>
<span class='doccomment'>/// `static mut`s.</span>
<span class='comment'>// FIXME (#5527): This should be an associated constant</span>
<span class='kw'>fn</span> <span class='ident'>one</span>() <span class='op'>-></span> <span class='self'>Self</span>;
}
<span class='macro'>macro_rules</span><span class='macro'>!</span> <span class='ident'>one_impl</span> {
(<span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>t</span>:<span class='ident'>ty</span>, <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>v</span>:<span class='ident'>expr</span>) <span class='op'>=></span> {
<span class='kw'>impl</span> <span class='ident'>One</span> <span class='kw'>for</span> <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>t</span> {
<span class='attribute'>#[<span class='ident'>inline</span>]</span>
<span class='kw'>fn</span> <span class='ident'>one</span>() <span class='op'>-></span> <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>t</span> { <span class='macro-nonterminal'>$</span><span class='macro-nonterminal'>v</span> }
}
}
}
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>usize</span>, <span class='number'>1usize</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>u8</span>, <span class='number'>1u8</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>u16</span>, <span class='number'>1u16</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>u32</span>, <span class='number'>1u32</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>u64</span>, <span class='number'>1u64</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>isize</span>, <span class='number'>1isize</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>i8</span>, <span class='number'>1i8</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>i16</span>, <span class='number'>1i16</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>i32</span>, <span class='number'>1i32</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>i64</span>, <span class='number'>1i64</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>f32</span>, <span class='number'>1.0f32</span>);
<span class='macro'>one_impl</span><span class='macro'>!</span>(<span class='ident'>f64</span>, <span class='number'>1.0f64</span>);
</pre>
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