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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><meta name="viewport" content="width=device-width, initial-scale=0.8"/><title>12.13 Phase and Space Utilities</title><link rel="stylesheet" type="text/css" href="../scribble.css" title="default"/><link rel="stylesheet" type="text/css" href="extras.css" title="default"/><link rel="stylesheet" type="text/css" href="../racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-style.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../doc-site.css" title="default"/><script type="text/javascript" src="../scribble-common.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../doc-site.js"></script><script type="text/javascript" src="../local-redirect/local-redirect.js"></script><script type="text/javascript" src="../local-redirect/local-user-redirect.js"></script><!--[if IE 6]><style type="text/css">.SIEHidden { overflow: hidden; }</style><![endif]--></head><body id="doc-racket-lang-org"><div class="tocset"><div class="tocview"><div class="tocviewlist tocviewlisttopspace"><div class="tocviewtitle"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,"tocview_0");">►</a></td><td></td><td><a href="index.html" class="tocviewlink" data-pltdoc="x">The Racket Reference</a></td></tr></table></div><div class="tocviewsublisttop" style="display: none;" id="tocview_0"><table cellspacing="0" cellpadding="0"><tr><td align="right">1 </td><td><a href="model.html" class="tocviewlink" data-pltdoc="x">Language Model</a></td></tr><tr><td align="right">2 </td><td><a href="notation.html" class="tocviewlink" data-pltdoc="x">Notation for Documentation</a></td></tr><tr><td align="right">3 </td><td><a href="syntax.html" class="tocviewlink" data-pltdoc="x">Syntactic Forms</a></td></tr><tr><td align="right">4 </td><td><a href="data.html" class="tocviewlink" data-pltdoc="x">Datatypes</a></td></tr><tr><td align="right">5 </td><td><a href="structures.html" class="tocviewlink" data-pltdoc="x">Structures</a></td></tr><tr><td align="right">6 </td><td><a href="mzlib_class.html" class="tocviewlink" data-pltdoc="x">Classes and Objects</a></td></tr><tr><td align="right">7 </td><td><a href="mzlib_unit.html" class="tocviewlink" data-pltdoc="x">Units</a></td></tr><tr><td align="right">8 </td><td><a href="contracts.html" class="tocviewlink" data-pltdoc="x">Contracts</a></td></tr><tr><td align="right">9 </td><td><a href="match.html" class="tocviewlink" data-pltdoc="x">Pattern Matching</a></td></tr><tr><td align="right">10 </td><td><a href="control.html" class="tocviewlink" data-pltdoc="x">Control Flow</a></td></tr><tr><td align="right">11 </td><td><a href="concurrency.html" class="tocviewlink" data-pltdoc="x">Concurrency and Parallelism</a></td></tr><tr><td align="right">12 </td><td><a href="Macros.html" class="tocviewselflink" data-pltdoc="x">Macros</a></td></tr><tr><td align="right">13 </td><td><a href="input-and-output.html" class="tocviewlink" data-pltdoc="x">Input and Output</a></td></tr><tr><td align="right">14 </td><td><a href="security.html" class="tocviewlink" data-pltdoc="x">Reflection and Security</a></td></tr><tr><td align="right">15 </td><td><a href="os.html" class="tocviewlink" data-pltdoc="x">Operating System</a></td></tr><tr><td align="right">16 </td><td><a href="memory.html" class="tocviewlink" data-pltdoc="x">Memory Management</a></td></tr><tr><td align="right">17 </td><td><a href="unsafe.html" class="tocviewlink" data-pltdoc="x">Unsafe Operations</a></td></tr><tr><td align="right">18 </td><td><a href="running.htm
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manipulating combined representations of <a href="syntax-model.html#%28tech._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">phase levels</span></a> and
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<a href="syntax-model.html#%28tech._binding._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">binding spaces</span></a>, particularly as used for <a href="stxtrans.html#%28tech._require._transformer%29" class="techoutside" data-pltdoc="x"><span class="techinside">require
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transformers</span></a> and <a href="stxtrans.html#%28tech._provide._transformer%29" class="techoutside" data-pltdoc="x"><span class="techinside">provide transformers</span></a>.</p><p>When <span class="RktSym"><a href="stxcmp.html#%28def._%28%28quote._~23~25kernel%29._identifier-binding%29%29" class="RktValLink" data-pltdoc="x">identifier-binding</a></span> (and related functions, like
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<span class="RktSym"><a href="stxcmp.html#%28def._%28%28quote._~23~25kernel%29._identifier-transformer-binding%29%29" class="RktValLink" data-pltdoc="x">identifier-transformer-binding</a></span>),
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<span class="RktSym"><a href="stxtrans.html#%28def._%28%28quote._~23~25kernel%29._syntax-local-module-exports%29%29" class="RktValLink" data-pltdoc="x">syntax-local-module-exports</a></span>,
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<span class="RktSym"><a href="stxtrans.html#%28def._%28%28quote._~23~25kernel%29._syntax-local-module-required-identifiers%29%29" class="RktValLink" data-pltdoc="x">syntax-local-module-required-identifiers</a></span>,
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<span class="RktSym"><a href="Module_Names_and_Loading.html#%28def._%28%28quote._~23~25kernel%29._module-compiled-exports%29%29" class="RktValLink" data-pltdoc="x">module-compiled-exports</a></span>, or <span class="RktSym"><a href="Module_Names_and_Loading.html#%28def._%28%28quote._~23~25kernel%29._module-~3eexports%29%29" class="RktValLink" data-pltdoc="x">module->exports</a></span> produces
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a phase–space combination (or phase–space shift combination), then
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two such values that are <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span> will be <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>.</p><p class="SHistory">Added in version 8.2.0.3 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase~3f))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase?</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">v</span> is a valid representation of a
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<a href="syntax-model.html#%28tech._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">phase level</span></a>, <span class="RktVal">#f</span> otherwise. A valid representation
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is either an exact integer representing a numbered
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phase level or <span class="RktVal">#f</span> representing the <a href="syntax-model.html#%28tech._label._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">label phase level</span></a>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._space~3f))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._space~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">space?</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">v</span> is a valid representation of a
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<a href="syntax-model.html#%28tech._binding._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">binding space</span></a>, <span class="RktVal">#f</span> otherwise. A valid representation
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is either an <a href="reader.html#%28tech._interned%29" class="techoutside" data-pltdoc="x"><span class="techinside">interned</span></a> symbol representing the space whose
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scope is accessed via <span class="RktSym"><a href="stxtrans.html#%28def._%28%28quote._~23~25kernel%29._make-interned-syntax-introducer%29%29" class="RktValLink" data-pltdoc="x">make-interned-syntax-introducer</a></span>, or
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<span class="RktVal">#f</span> representing the default binding space.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space~3f))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space?</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">v</span> is a valid representation of a
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<a href="syntax-model.html#%28tech._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">phase level</span></a> and <a href="syntax-model.html#%28tech._binding._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">binding space</span></a> combination,
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<span class="RktVal">#f</span> otherwise. The possible
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representations are as follows:</div></p><ul><li><p>a phase (in the sense of <span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase~3f%29%29" class="RktValLink" data-pltdoc="x">phase?</a></span>) by itself, which
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represents that phase plus the default binding space</p></li><li><p>a pair whose <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._car%29%29" class="RktValLink" data-pltdoc="x">car</a></span> is a phase and whose <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cdr%29%29" class="RktValLink" data-pltdoc="x">cdr</a></span> is
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a non-<span class="RktVal">#f</span> space (in the sense of <span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._space~3f%29%29" class="RktValLink" data-pltdoc="x">space?</a></span>)</p></li></ul><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space</a></span></span><span class="hspace"> </span><span class="RktVar">phase</span><span class="hspace"> </span><span class="RktVar">space</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">phase</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase~3f%29%29" class="RktValLink" data-pltdoc="x">phase?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">space</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._space~3f%29%29" class="RktValLink" data-pltdoc="x">space?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a value to represent the combination of <span class="RktVar">phase</span> and
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<span class="RktVar">space</span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space-phase))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-phase%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space-phase</a></span></span><span class="hspace"> </span><span class="RktVar">p+s</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase~3f%29%29" class="RktValLink" data-pltdoc="x">phase?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">p+s</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space?</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space-space))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-space%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space-space</a></span></span><span class="hspace"> </span><span class="RktVar">p+s</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase~3f%29%29" class="RktValLink" data-pltdoc="x">phase?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">p+s</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Extracts the <a href="syntax-model.html#%28tech._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">phase level</span></a> or <a href="syntax-model.html#%28tech._binding._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">binding space</span></a> component from
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a combination.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space-shift~3f))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-shift~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space-shift?</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">v</span> is a valid representation of a
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<a href="syntax-model.html#%28tech._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">phase level</span></a> shift and <a href="syntax-model.html#%28tech._binding._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">binding space</span></a> shift combination,
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<span class="RktVal">#f</span> otherwise. A
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shift can be applied to a combination of a phase level and binding
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space using <span class="RktSym">phase+shift+</span>. The possible representations of a
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shift are as follows:</div></p><ul><li><p>exact integer —<wbr></wbr> represents an amount to shift a phase level
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and no change to the binding space</p></li><li><p><span class="RktVal">#f</span> —<wbr></wbr> represents a shift to the <a href="syntax-model.html#%28tech._label._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">label phase level</span></a>
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and no change to the binding space</p></li><li><p>a pair whose <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._car%29%29" class="RktValLink" data-pltdoc="x">car</a></span> is an exact integer or <span class="RktVal">#f</span>,
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and whose <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cdr%29%29" class="RktValLink" data-pltdoc="x">cdr</a></span> is a space (in the sense of
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<span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._space~3f%29%29" class="RktValLink" data-pltdoc="x">space?</a></span>) —<wbr></wbr> represents a phase level shift in the
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<span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._car%29%29" class="RktValLink" data-pltdoc="x">car</a></span> and a change to the binding space that is in the
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<span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cdr%29%29" class="RktValLink" data-pltdoc="x">cdr</a></span></p></li></ul><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space+))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace%2B%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space+</a></span></span><span class="hspace"> </span><span class="RktVar">p+s</span><span class="hspace"> </span><span class="RktVar">shift</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">p+s</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">shift</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-shift~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space-shift?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Applies <span class="RktVar">shift</span> to <span class="RktVar">p+s</span> to produce a new combination of
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<a href="syntax-model.html#%28tech._phase._level%29" class="techoutside" data-pltdoc="x"><span class="techinside">phase level</span></a> and <a href="syntax-model.html#%28tech._binding._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">binding space</span></a>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/phase+space..rkt)._phase+space-shift+))"></a><span title="Provided from: racket/phase+space | Package: base"><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-shift%2B%29%29" class="RktValDef RktValLink" data-pltdoc="x">phase+space-shift+</a></span></span><span class="hspace"> </span><span class="RktVar">shift</span><span class="hspace"> </span><span class="RktVar">additional-shift</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-shift~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space-shift?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">shift</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">additional-shift</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="phase_space.html#%28def._%28%28lib._racket%2Fphase%2Bspace..rkt%29._phase%2Bspace-shift~3f%29%29" class="RktValLink" data-pltdoc="x">phase+space-shift?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Composes <span class="RktVar">shift</span> and <span class="RktVar">additional-shift</span> to produce a new
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shift that behaves the same as applying <span class="RktVar">shift</span> followed by
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<span class="RktVar">additional-shift</span>.</div></p><div class="navsetbottom"><span class="navleft"><form class="searchform"><input class="searchbox" id="searchbox" type="text" tabindex="1" placeholder="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, "8.6", "../");"/></form> <a href="https://docs.racket-lang.org/index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("8.6");">top</a><span class="tocsettoggle"> <a href="javascript:void(0);" title="show/hide table of contents" onclick="TocsetToggle();">contents</a></span></span><span class="navright"> <a href="syntax-util.html" title="backward to "12.12 Syntax Utilities"" data-pltdoc="x">← prev</a> <a href="Macros.html" title="up to "12 Macros"" data-pltdoc="x">up</a> <a href="input-and-output.html" title="forward to "13 Input and Output"" data-pltdoc="x">next →</a></span> </div></div></div><div id="contextindicator"> </div></body></html>
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