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| <td class="back"><a id="top"></a><a href="s4.5.c.html" rel="prev"><< §4.5.(c) Result translation</a></td> |
| <td class="top"><a href="index.html" rel="contents">↑ Table of Contents ↑</a></td> |
| <td class="next"><a href="s4.5.e.html" rel="next">§4.5.(e) Role arrays >></a></td> |
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| <div class="breadcrumb"><a class="nav" href="s4.html" rel="section">§4 Callin Binding</a> > <a class="nav" href="s4.5.html" rel="section">§4.5 Lifting and lowering</a></div> |
| <div class="subsect depth3" id="s4.5.d"> |
| <h4 class="subsect">§4.5.(d) <span class="title">Typing rules</span><a class="img" href="s4.5.d.html" title="PermaLink to (d) Typing rules"><img style="vertical-align:text-top;margin-left:5px;" src="../images/permalink.png" |
| alt="" /></a></h4> |
| <p>A parameter mapping (implicit by parameter position or explicit |
| by a <code>with</code> clause) is <strong>well typed</strong> if |
| the right hand side conforms to the left hand side, either by |
| |
| </p> |
| <ul> |
| <li>type equality</li> |
| <li>implicit primitive type conversion</li> |
| <li>subtype polymorphism</li> |
| <li>translation polymorphism, here: <em>lifting</em>;<br /> |
| however, within <code>replace</code> bindings step 1 of the smart lifting |
| algorithm (<a href="s2.3.3.a.html" title="§2.3.3.(a) Static adjustment" |
| class="sect">§2.3.3.(a)</a>) is not applicable |
| </li> |
| <li><em>or</em> by a combination of the above. |
| </li> |
| </ul> |
| <p>A result mapping (implicit or explicit by a <code>with</code> clause) |
| is well typed, if the value at the left hand conforms to the |
| right hand side according to the rules given above, except that |
| translation polymorphism here applies <em>lowering</em> instead of |
| lifting. |
| </p> |
| <p> |
| These rules define <strong>translation polymorphism</strong> as introduced in |
| <a href="s2.3.html" title="§2.3 Lifting" class="sect">§2.3</a>. |
| |
| </p> |
| <p>Additionally, in a <code>replace</code> callin binding compatibility of parameters and return |
| types must hold in both directions. |
| Thus, from the above list of conversions a replace binding cannot apply subtype polymorphism |
| nor primitive type conversion. |
| If more flexibility is desired, type parameters can be used as defined in <a href="s4.10.html" title="§4.10 Generic callin bindings" |
| class="sect">§4.10</a>. |
| |
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| <td class="next"><a href="s4.5.e.html" rel="next">§4.5.(e) Role arrays >></a></td> |
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| <div class="breadcrumb"><a class="nav" href="s4.html" rel="section">§4 Callin Binding</a> > <a class="nav" href="s4.5.html" rel="section">§4.5 Lifting and lowering</a></div> |
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