mirror of https://gitee.com/XmacsLabs/planet.git
604 lines
21 KiB
Tcl
604 lines
21 KiB
Tcl
<TeXmacs|2.1.2>
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<style|<tuple|beamer|no-page-numbers|chinese>>
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<\body>
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<\hide-preamble>
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<assign|dfn|<macro|x|<strong|<arg|x>>>>
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</hide-preamble>
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<screens|<\shown>
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<tit|\<#96F6\>\<#57FA\>\<#7840\>SICP\<#FF1A\>\<#7B2C\>1\<#8BFE\>>
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\;
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<\wide-tabular>
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<tformat|<cwith|2|-1|1|-1|cell-height|40px>|<cwith|2|-1|1|-1|cell-vmode|exact>|<table|<row|<\cell>
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<very-large|<\sectional-normal-bold>
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\<#7F16\>\<#7A0B\>\<#7684\>\<#57FA\>\<#672C\>\<#539F\>\<#7406\>
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</sectional-normal-bold>>
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</cell>|<\cell>
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<very-large|<\sectional-normal-bold>
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Elements of Programming
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</sectional-normal-bold>>
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</cell>>|<row|<\cell>
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\<#8868\>\<#8FBE\>\<#5F0F\>
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</cell>|<\cell>
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Expressions
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</cell>>|<row|<\cell>
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\<#547D\>\<#540D\>\<#4E0E\>\<#73AF\>\<#5883\>
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</cell>|<\cell>
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Naming and the Evironment
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</cell>>|<row|<\cell>
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\<#7EC4\>\<#5408\>\<#5F0F\>\<#7684\>\<#6C42\>\<#503C\>
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</cell>|<\cell>
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Evaluating Combinations
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</cell>>|<row|<\cell>
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\<#590D\>\<#5408\>\<#51FD\>\<#6570\>
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</cell>|<\cell>
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Compound Procedures
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</cell>>|<row|<\cell>
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\<#51FD\>\<#6570\>\<#5E94\>\<#7528\>\<#7684\>\<#4EE3\>\<#6362\>\<#6A21\>\<#578B\>
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</cell>|<\cell>
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The Subsitution Model for Procedure Application
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</cell>>|<row|<\cell>
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\<#6761\>\<#4EF6\>\<#8868\>\<#8FBE\>\<#5F0F\>\<#548C\>\<#8C13\>\<#8BCD\>
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</cell>|<\cell>
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Conditional Expressions and Predicates
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</cell>>>>
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</wide-tabular>
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\;
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\;
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</shown>|<\hidden>
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<tit|\<#7F16\>\<#7A0B\>\<#7684\>\<#57FA\>\<#672C\>\<#539F\>\<#7406\>>
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\;
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\;
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\;
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\;
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\;
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<\folded-documentation>
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\<#7F16\>\<#7A0B\>\<#FF08\>\<#7A0B\>\<#5E8F\>\<#8BBE\>\<#8BA1\>\<#FF09\>\<#7684\>\<#57FA\>\<#672C\>\<#539F\>\<#7406\><with|color|red|\<#662F\>>\<#4EC0\>\<#4E48\>
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<|folded-documentation>
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<\with|color|dark cyan|par-mode|center>
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<huge|\<#5BF9\>\<#6570\>\<#636E\>\<#548C\>\<#8BA1\>\<#7B97\>\<#7684\>\<#7EC4\>\<#5408\>\<#548C\>\<#62BD\>\<#8C61\>>
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</with>
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</folded-documentation>
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</hidden>|<\hidden>
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<tit|\<#7F16\>\<#7A0B\>\<#7684\>\<#57FA\>\<#672C\>\<#539F\>\<#7406\>>
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<\folded-documentation>
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\<#57FA\>\<#672C\>\<#6982\>\<#5FF5\>
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<|folded-documentation>
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<\folded-std>
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\<#539F\>\<#8BED\><glossary-explain|primitive|\<#539F\>\<#8BED\>>
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<|folded-std>
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<\itemize>
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<item>\<#6570\>\<#636E\>\<#539F\>\<#8BED\>
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<item>\<#51FD\>\<#6570\>\<#539F\>\<#8BED\>
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</itemize>
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</folded-std>
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<\folded-std>
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\<#8868\>\<#8FBE\>\<#5F0F\><glossary-explain|expression|\<#8868\>\<#8FBE\>\<#5F0F\>>
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<|folded-std>
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\<#539F\>\<#8BED\>\<#6216\>\<#8005\>\<#7EC4\>\<#5408\>\<#5F0F\>
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</folded-std>
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<\folded-std>
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\<#51FD\>\<#6570\>
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<|folded-std>
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<\definition>
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\<#64CD\>\<#7EB5\>\<#6570\>\<#636E\>\<#FF08\>\<#8BA1\>\<#7B97\>\<#FF09\>\<#7684\>\<#89C4\>\<#5219\>\<#7684\>\<#63CF\>\<#8FF0\>\<#FF0C\>\<#79F0\>\<#4E3A\><dfn|\<#51FD\>\<#6570\>><glossary-explain|procedure|\<#51FD\>\<#6570\>>\<#3002\>\<#51FD\>\<#6570\>\<#5206\>\<#4E3A\>\<#539F\>\<#8BED\>\<#51FD\>\<#6570\>\<#548C\>\<#590D\>\<#5408\>\<#51FD\>\<#6570\>\<#3002\>
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</definition>
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</folded-std>
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<\folded-std>
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\<#7EC4\>\<#5408\><glossary-explain|combination|\<#7EC4\>\<#5408\>>
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<|folded-std>
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\<#505A\>\<#7EC4\>\<#5408\>
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</folded-std>
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<\folded-std>
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\<#62BD\>\<#8C61\><glossary-explain|abstraction|\<#62BD\>\<#8C61\>>
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\<#FF08\>\<#505A\>\<#62BD\>\<#8C61\>\<#FF09\>
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<|folded-std>
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\<#505A\>\<#62BD\>\<#8C61\>
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</folded-std>
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</folded-documentation>
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<\folded-documentation>
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\<#57FA\>\<#672C\>\<#6982\>\<#5FF5\>\<#7684\>\<#56FE\>\<#793A\>
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<|folded-documentation>
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<tree|\<#8868\>\<#8FBE\>\<#5F0F\>|<tree|\<#539F\>\<#8BED\>|\<#6570\>\<#636E\>\<#539F\>\<#8BED\>|\<#51FD\>\<#6570\>\<#539F\>\<#8BED\>>|<tree|\<#7EC4\>\<#5408\>\<#5F0F\>|(\<#8868\>\<#8FBE\>\<#5F0F\>0
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\<#8868\>\<#8FBE\>\<#5F0F\>1 \<#8868\>\<#8FBE\>\<#5F0F\>2 <text-dots>
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\<#8868\>\<#8FBE\>\<#5F0F\>N)>>
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</folded-documentation>
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\;
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\;
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</hidden>|<\hidden>
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<tit|\<#8868\>\<#8FBE\>\<#5F0F\>>
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<\definition>
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\<#5728\>Scheme\<#8BED\>\<#8A00\>\<#4E2D\>\<#FF0C\>\<#5C06\>\<#4E00\>\<#7EC4\>\<#8868\>\<#8FBE\>\<#5F0F\>\<#653E\>\<#5728\>\<#5C0F\>\<#62EC\>\<#53F7\>\<#91CC\>\<#9762\>\<#5F62\>\<#6210\>\<#4E00\>\<#4E2A\>\<#65B0\>\<#7684\>\<#8868\>\<#8FBE\>\<#5F0F\>\<#4EE5\>\<#8868\>\<#793A\>\<#5E94\>\<#7528\>\<#4E00\>\<#4E2A\>\<#51FD\>\<#6570\>\<#FF0C\>\<#79F0\>\<#4E3A\><dfn|\<#505A\>\<#7EC4\>\<#5408\>>\<#6216\>\<#8005\><dfn|\<#7EC4\>\<#5408\>>\<#FF0C\>\<#800C\>\<#8FD9\>\<#7C7B\>\<#65B0\>\<#7684\>\<#8868\>\<#8FBE\>\<#5F0F\>\<#79F0\>\<#4E3A\><dfn|\<#7EC4\>\<#5408\>\<#5F0F\>><glossary-explain|combinations|\<#7EC4\>\<#5408\>\<#5F0F\>>\<#3002\>\<#7EC4\>\<#5408\>\<#5F0F\>\<#4E2D\>\<#6700\>\<#5DE6\>\<#8FB9\>\<#7684\>\<#5143\>\<#7D20\>\<#79F0\>\<#4E3A\><dfn|\<#64CD\>\<#4F5C\>\<#7B26\>>\<#FF0C\>\<#5269\>\<#4E0B\>\<#7684\>\<#5143\>\<#7D20\>\<#662F\><dfn|\<#64CD\>\<#4F5C\>\<#6570\>>\<#3002\>
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</definition>
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REPL\<#FF1A\><verbatim|Read-Eval-Print> Loop
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\<#8BFB\>\<#53D6\>\<rightarrow\>\<#6C42\>\<#503C\>\<rightarrow\>\<#6253\>\<#5370\>
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\<#5FAA\>\<#73AF\> \<#FF08\>\<#4E3B\>\<#4F53\>\<#FF1A\>Scheme\<#89E3\>\<#91CA\>\<#5668\>\<#FF09\>
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<\session|scheme|default>
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<\folded-io|Scheme] >
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486 ; \<#5341\>\<#8FDB\>\<#5236\>
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<|folded-io>
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486
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</folded-io>
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<\folded-io|Scheme] >
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(+ 137 349) ; \<#52A0\>\<#6CD5\>
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<|folded-io>
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486
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</folded-io>
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<\folded-io|Scheme] >
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(* 1 2 3)
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<|folded-io>
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6
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</folded-io>
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<\folded-io|Scheme] >
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(/ 3.0 2)
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<|folded-io>
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1.5
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</folded-io>
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<\folded-io|Scheme] >
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(+ (+ 1 3) (/ 3.0 2))
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<|folded-io>
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5.5
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</folded-io>
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<\input|Scheme] >
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\;
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</input>
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</session>
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<small-figure|<tree|\<#64CD\>\<#4F5C\>\<#7B26\>|\<#7B2C\>1\<#4E2A\>\<#64CD\>\<#4F5C\>\<#6570\>|\<#7B2C\>2\<#64CD\>\<#4F5C\>\<#6570\>|<text-dots>|\<#7B2C\>N\<#4E2A\>\<#64CD\>\<#4F5C\>\<#6570\>>|\<#64CD\>\<#4F5C\>\<#7B26\>\<#548C\>\<#64CD\>\<#4F5C\>\<#6570\>><small-figure|<tree|+|137|349>|\<#4E00\>\<#4E2A\>\<#5177\>\<#4F53\>\<#7684\>\<#4F8B\>\<#5B50\>>
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\;
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\;
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</hidden>|<\hidden>
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<tit|\<#547D\>\<#540D\>\<#4E0E\>\<#73AF\>\<#5883\>>
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<\session|scheme|default>
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<\folded-io|Scheme] >
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(define pi 3.14159)
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<|folded-io>
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<errput|define: pi is immutable>
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</folded-io>
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<\folded-io|Scheme] >
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(define \<#534A\>\<#5F84\> 1)
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<|folded-io>
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1
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</folded-io>
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<\folded-io|Scheme] >
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(* pi (* \<#534A\>\<#5F84\> \<#534A\>\<#5F84\>))\
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<|folded-io>
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3.141592653589793
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</folded-io>
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<\folded-io|Scheme] >
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(define \<#5468\>\<#957F\> (* 2 (* pi \<#534A\>\<#5F84\>)))
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<|folded-io>
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6.283185307179586
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</folded-io>
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<\folded-io|Scheme] >
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\<#5468\>\<#957F\>
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<|folded-io>
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6.283185307179586
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</folded-io>
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</session>
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\;
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<\with|par-columns|2>
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<with|gr-mode|<tuple|edit|text-at>|gr-frame|<tuple|scale|1cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|1par|0.6par>|gr-grid|<tuple|empty>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|10|none>>|gr-edit-grid|<tuple|empty>|gr-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-auto-crop|true|<graphics||<circle|<point|0|0>|<point|2.0|0.0>>|<with|arrow-end|\<gtr\>|<line|<point|0|0>|<point|2.0|0.0>>>|<text-at|O|<point|-0.2|-0.3>>|<text-at|r|<point|0.8|0.2>>|<text-at|C|<point|-1.8|1.6>>>>
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<\equation*>
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C=2*\<pi\>*r
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</equation*>
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<\equation*>
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S=\<pi\>*r<rsup|2>
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</equation*>
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</with>
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</hidden>|<\hidden>
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<tit|\<#7EC4\>\<#5408\>\<#5F0F\>\<#7684\>\<#6C42\>\<#503C\>>
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<\render-code>
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\<#5BF9\>\<#7EC4\>\<#5408\>\<#5F0F\>\<#6C42\>\<#503C\>\<#FF08\>\<#9012\>\<#5F52\>\<#FF09\>
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\<#7B2C\>\<#4E00\>\<#6B65\>\<#FF1A\>\<#5BF9\>\<#7EC4\>\<#5408\>\<#5F0F\>\<#7684\>\<#5B50\>\<#8868\>\<#8FBE\>\<#5F0F\>\<#6C42\>\<#503C\>
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\<#7B2C\>\<#4E8C\>\<#6B65\>\<#FF1A\>\<#5BF9\>\<#53C2\>\<#6570\>\<#5E94\>\<#7528\>\<#51FD\>\<#6570\>
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</render-code>
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<\with|par-columns|2>
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<\session|scheme|default>
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<\folded-io|Scheme] >
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(* (+ 2 (* 4 6))
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\ \ \ (+ 3 5 7)) ; \<#7EC4\>\<#5408\>\<#5F0F\>
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<|folded-io>
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390
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</folded-io>
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<\input|Scheme] >
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(* <with|color|red|(+ 2 (* 4 6))>
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\ \ \ (+ 3 5 7))
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</input>
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<\input|Scheme] >
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(* (+ 2 <with|color|red|(* 4 6)>)
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\ \ \ (+ 3 5 7))
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</input>
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<\input|Scheme] >
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(* (+ 2 24)
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\ \ \ (+ 3 5 7))
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</input>
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<\input|Scheme] >
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(* <with|color|red|(+ 2 24)>
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\ \ \ (+ 3 5 7))
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</input>
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<\input|Scheme] >
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(* 26
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\ \ \ (+ 3 5 7))
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</input>
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<\input|Scheme] >
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(* 26
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\ \ \ <with|color|red|(+ 3 5 7)>)
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</input>
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<\folded-io|Scheme] >
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(* 26 15) ; \<#7B2C\>\<#4E00\>\<#6B65\>\<#5DF2\>\<#5B8C\>\<#6210\>
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<|folded-io>
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390
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</folded-io>
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<\input|Scheme] >
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390 ; \<#7B2C\>\<#4E8C\>\<#6B65\>\<#5DF2\>\<#5B8C\>\<#6210\>
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</input>
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</session>
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</with>
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<tree|390|*|<tree|26|+|2|<tree|24|*|4|6>>|<tree|15|+|3|5|7>>
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</hidden>|<\hidden>
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<tit|\<#590D\>\<#5408\>\<#51FD\>\<#6570\><glossary-explain|compound
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procedure|\<#590D\>\<#5408\>\<#51FD\>\<#6570\>>>
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\<#51FD\>\<#6570\>\<#5206\>\<#4E3A\>\<#4E24\>\<#79CD\>\<#FF0C\>\<#539F\>\<#8BED\>\<#51FD\>\<#6570\>\<#548C\>\<#590D\>\<#5408\>\<#51FD\>\<#6570\>\<#3002\>\<#6BD4\>\<#5982\>\<#52A0\>\<#51CF\>\<#4E58\>\<#9664\>\<#5C31\>\<#662F\>\<#539F\>\<#8BED\>\<#51FD\>\<#6570\>\<#3002\>\<#7531\>\<#7528\>\<#6237\>\<#81EA\>\<#5B9A\>\<#4E49\>\<#7684\>\<#51FD\>\<#6570\>\<#79F0\>\<#4E3A\>\<#590D\>\<#5408\>\<#51FD\>\<#6570\>\<#3002\>
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<\equation*>
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\<#6C42\>\<#5E73\>\<#65B9\><around*|(|x|)>=x<rsup|2>
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</equation*>
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<\session|scheme|default>
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<\folded-io|Scheme] >
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(define (\<#6C42\>\<#5E73\>\<#65B9\> x) (* x x))
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<|folded-io>
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\<less\>#6C42\<gtr\>\<less\>#5E73\<gtr\>\<less\>#65B9\<gtr\>
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</folded-io>
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<\folded-io|Scheme] >
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(\<#6C42\>\<#5E73\>\<#65B9\> 3)
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<|folded-io>
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9
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</folded-io>
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<\input|Scheme] >
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\;
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</input>
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</session>
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<\scm-code>
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(define (<with|color|red|\<langle\>\<#51FD\>\<#6570\>\<#540D\>\<rangle\>
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><with|color|brown|\<langle\>\<#5F62\>\<#5F0F\>\<#53C2\>\<#6570\>\<#5217\>\<#8868\>\<rangle\>>)
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<with|color|dark cyan|\<langle\>\<#4E3B\>\<#4F53\>\<rangle\>>)
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</scm-code>
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<\equation*>
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\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\><around*|(|x,y|)>=x<rsup|2>+y<rsup|2>
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</equation*>
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<\session|scheme|default>
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<\folded-io|Scheme] >
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(define (\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> x y) (+
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(\<#6C42\>\<#5E73\>\<#65B9\> x) (\<#6C42\>\<#5E73\>\<#65B9\> y)))
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<|folded-io>
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\<less\>#6C42\<gtr\>\<less\>#5E73\<gtr\>\<less\>#65B9\<gtr\>\<less\>#548C\<gtr\>
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</folded-io>
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<\folded-io|Scheme] >
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(\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> 1 2)
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<|folded-io>
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5
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</folded-io>
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<\input|Scheme] >
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\;
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</input>
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</session>
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\;
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</hidden>|<\hidden>
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<tit|\<#5E94\>\<#7528\>\<#4E00\>\<#4E2A\>\<#51FD\>\<#6570\>\<#7684\>\<#4EE3\>\<#6362\>\<#6A21\>\<#578B\><glossary-explain|substitution
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model|\<#4EE3\>\<#6362\>\<#6A21\>\<#578B\>>\<#2014\>\<#2014\>\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>>
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\;
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<\equation*>
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f<around*|(|a|)>=<around*|(|a+1|)><rsup|2>+<around*|(|a\<times\>2|)><rsup|2>
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</equation*>
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<\session|scheme|default>
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<\folded-io|Scheme] >
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(define (f a) (\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> (+ a 1) (* a 2)))
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<|folded-io>
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f
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</folded-io>
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<\folded-io|Scheme] >
|
|
(f 5)
|
|
<|folded-io>
|
|
136
|
|
</folded-io>
|
|
|
|
<\input|Scheme] >
|
|
\;
|
|
</input>
|
|
</session>
|
|
|
|
<\itemize>
|
|
<item>\<#5BF9\>\<#7EC4\>\<#5408\>\<#5F0F\>(f 5)\<#6C42\>\<#503C\>
|
|
|
|
<item>\<#5C06\>\<#51FD\>\<#6570\>f\<#5E94\>\<#7528\>\<#5230\>\<#53C2\>\<#6570\>5\<#4E0A\>\<#9762\>\<#FF08\>\<#6CE8\>\<#610F\>\<#53C2\>\<#6570\>\<#3001\>\<#5F62\>\<#5F0F\>\<#53C2\>\<#6570\>\<#3001\>\<#64CD\>\<#4F5C\>\<#6570\>\<#8FD9\>\<#4E09\>\<#4E2A\>\<#6982\>\<#5FF5\>\<#7684\>\<#533A\>\<#522B\>\<#FF09\>
|
|
</itemize>
|
|
|
|
<paragraph|\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>><glossary-explain|applicative
|
|
order evaluation|\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>>
|
|
|
|
<\folded-std>
|
|
<scm|(\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> <with|color|red|(+ a 1)>
|
|
<with|color|red|(* a 2)>)>
|
|
<|folded-std>
|
|
<\folded-std>
|
|
<scm|(\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> <with|color|red|(+ 5 1)>
|
|
<with|color|red|(* 5 2)>)>
|
|
<|folded-std>
|
|
<\folded-std>
|
|
<with|color|red|<scm|(\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> 6 10)>>
|
|
<|folded-std>
|
|
<\folded-std>
|
|
<scm|(+ <with|color|red|(\<#6C42\>\<#5E73\>\<#65B9\> 6)>
|
|
<with|color|red|(\<#6C42\>\<#5E73\>\<#65B9\> 10)>)>
|
|
<|folded-std>
|
|
<\folded-std>
|
|
<scm|(+ <with|color|red|(* 6 6)> <with|color|red|(* 10 10)>)>
|
|
<|folded-std>
|
|
<\folded-std>
|
|
<scm|(+ 36 100)>
|
|
<|folded-std>
|
|
136
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
</hidden>|<\hidden>
|
|
<tit|\<#5E94\>\<#7528\>\<#4E00\>\<#4E2A\>\<#51FD\>\<#6570\>\<#7684\>\<#4EE3\>\<#6362\>\<#6A21\>\<#578B\>\<#2014\>\<#2014\>\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>>
|
|
|
|
<paragraph|\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>><glossary-explain|normal
|
|
order evaluation|\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>>
|
|
|
|
<\folded-std>
|
|
(\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\> (+ <with|color|red|a> 1) (*
|
|
<with|color|red|a> 2))
|
|
<|folded-std>
|
|
<\folded-std>
|
|
(<with|color|red|\<#6C42\>\<#5E73\>\<#65B9\>\<#548C\>> (+ 5 1) (* 5
|
|
2))
|
|
<|folded-std>
|
|
<\folded-std>
|
|
(+ <with|color|red|(\<#6C42\>\<#5E73\>\<#65B9\> (+ 5 1))>
|
|
<with|color|red|(\<#6C42\>\<#5E73\>\<#65B9\> (* 5 2)>)
|
|
<|folded-std>
|
|
<\folded-std>
|
|
(+ (* (+ 5 1) (+ 5 1)) (* (* 5 2) (* 5 2)))
|
|
<|folded-std>
|
|
<\folded-std>
|
|
(+ 36 100)
|
|
<|folded-std>
|
|
136
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
</folded-std>
|
|
|
|
<\question>
|
|
\<#5DF2\>\<#7ECF\>\<#6709\>\<#4E86\>\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>\<#FF0C\>\<#4E3A\>\<#4EC0\>\<#4E48\>\<#8FD8\>\<#9700\>\<#8981\>\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>\<#FF1F\>
|
|
</question>
|
|
|
|
<\question>
|
|
\<#6A21\>\<#578B\>\<#662F\>\<#4EC0\>\<#4E48\>\<#610F\>\<#601D\>\<#FF1F\>\<#548C\>\<#73B0\>\<#5728\>\<#5A92\>\<#4F53\>\<#4E0A\>\<#8BB2\>\<#7684\>\<#5927\>\<#6A21\>\<#578B\>\<#6709\>\<#4EC0\>\<#4E48\>\<#533A\>\<#522B\>\<#3002\>
|
|
</question>
|
|
</hidden>|<\hidden>
|
|
<tit|\<#6761\>\<#4EF6\>\<#8868\>\<#8FBE\>\<#5F0F\>\<#548C\>\<#8C13\>\<#8BCD\>>
|
|
|
|
<\equation*>
|
|
<around|\||x|\|>=<around*|{|<tabular|<tformat|<cwith|1|-1|1|1|cell-halign|r>|<cwith|1|-1|2|2|cell-halign|l>|<cwith|1|-1|3|3|cell-halign|l>|<table|<row|<cell|x>|<cell|<with|mode|text|if>>|<cell|x\<gtr\>0,>>|<row|<cell|0>|<cell|<with|mode|text|if>>|<cell|x=0,>>|<row|<cell|-x>|<cell|<with|mode|text|if>>|<cell|x\<less\>0.>>>>>|\<nobracket\>>
|
|
</equation*>
|
|
|
|
<\session|scheme|default>
|
|
<\folded-io|Scheme] >
|
|
(define (\<#6C42\>\<#7EDD\>\<#5BF9\>\<#503C\> x)
|
|
|
|
\ \ (cond ((\<gtr\> x 0) x)
|
|
|
|
\ \ \ \ \ \ \ \ ((= x 0) 0)
|
|
|
|
\ \ \ \ \ \ \ \ ((\<less\> x 0) (- x))))
|
|
<|folded-io>
|
|
\<less\>#6C42\<gtr\>\<less\>#7EDD\<gtr\>\<less\>#5BF9\<gtr\>\<less\>#503C\<gtr\>
|
|
</folded-io>
|
|
|
|
<\folded-io|Scheme] >
|
|
(\<#6C42\>\<#7EDD\>\<#5BF9\>\<#503C\> 1)
|
|
<|folded-io>
|
|
1
|
|
</folded-io>
|
|
|
|
<\input|Scheme] >
|
|
\;
|
|
</input>
|
|
</session>
|
|
|
|
<\scm-code>
|
|
(cond (\<langle\>\<#8C13\>\<#8BCD\>1\<rangle\>
|
|
\<langle\>\<#8868\>\<#8FBE\>\<#5F0F\>1\<rangle\>)
|
|
|
|
\ \ \ \ \ \ (\<langle\>\<#8C13\>\<#8BCD\>2\<rangle\>
|
|
\<langle\>\<#8868\>\<#8FBE\>\<#5F0F\>2\<rangle\>)
|
|
|
|
\ \ \ \ \ \ ...
|
|
|
|
\ \ \ \ \ \ (\<langle\>\<#8C13\>\<#8BCD\>N\<rangle\>
|
|
\<langle\>\<#8868\>\<#8FBE\>\<#5F0F\>N\<rangle\>))
|
|
</scm-code>
|
|
</hidden>|<\hidden>
|
|
<tit|\<#603B\>\<#7ED3\>>
|
|
|
|
\;
|
|
|
|
<\the-glossary|gly>
|
|
<glossary-2|primitive|\<#539F\>\<#8BED\>|<pageref|auto-1>>
|
|
|
|
<glossary-2|expression|\<#8868\>\<#8FBE\>\<#5F0F\>|<pageref|auto-2>>
|
|
|
|
<glossary-2|procedure|\<#51FD\>\<#6570\>|<pageref|auto-3>>
|
|
|
|
<glossary-2|combination|\<#7EC4\>\<#5408\>|<pageref|auto-4>>
|
|
|
|
<glossary-2|abstraction|\<#62BD\>\<#8C61\>|<pageref|auto-5>>
|
|
|
|
<glossary-2|combinations|\<#7EC4\>\<#5408\>\<#5F0F\>|<pageref|auto-6>>
|
|
|
|
<glossary-2|compound procedure|\<#590D\>\<#5408\>\<#51FD\>\<#6570\>|<pageref|auto-9>>
|
|
|
|
<glossary-2|substitution model|\<#4EE3\>\<#6362\>\<#6A21\>\<#578B\>|<pageref|auto-10>>
|
|
|
|
<glossary-2|applicative order evaluation|\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>|<pageref|auto-12>>
|
|
|
|
<glossary-2|normal order evaluation|\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>|<pageref|auto-14>>
|
|
</the-glossary>
|
|
</hidden>>
|
|
</body>
|
|
|
|
<\initial>
|
|
<\collection>
|
|
<associate|info-flag|minimal>
|
|
<associate|marked-color|pastel yellow>
|
|
<associate|page-medium|beamer>
|
|
<associate|page-screen-margin|false>
|
|
<associate|preamble|false>
|
|
</collection>
|
|
</initial>
|
|
|
|
<\references>
|
|
<\collection>
|
|
<associate|auto-1|<tuple|primitive|?>>
|
|
<associate|auto-10|<tuple|substitution model|?>>
|
|
<associate|auto-11|<tuple|1|?>>
|
|
<associate|auto-12|<tuple|applicative order evaluation|?>>
|
|
<associate|auto-13|<tuple|2|?>>
|
|
<associate|auto-14|<tuple|normal order evaluation|?>>
|
|
<associate|auto-15|<tuple|2|?>>
|
|
<associate|auto-2|<tuple|expression|?>>
|
|
<associate|auto-3|<tuple|procedure|?>>
|
|
<associate|auto-4|<tuple|combination|?>>
|
|
<associate|auto-5|<tuple|abstraction|?>>
|
|
<associate|auto-6|<tuple|combinations|?>>
|
|
<associate|auto-7|<tuple|1|?>>
|
|
<associate|auto-8|<tuple|2|?>>
|
|
<associate|auto-9|<tuple|compound procedure|?>>
|
|
</collection>
|
|
</references>
|
|
|
|
<\auxiliary>
|
|
<\collection>
|
|
<\associate|figure>
|
|
<tuple|normal|<surround|<hidden-binding|<tuple>|1>||\<#64CD\>\<#4F5C\>\<#7B26\>\<#548C\>\<#64CD\>\<#4F5C\>\<#6570\>>|<pageref|auto-7>>
|
|
|
|
<tuple|normal|<surround|<hidden-binding|<tuple>|2>||\<#4E00\>\<#4E2A\>\<#5177\>\<#4F53\>\<#7684\>\<#4F8B\>\<#5B50\>>|<pageref|auto-8>>
|
|
</associate>
|
|
<\associate|gly>
|
|
<tuple|normal|primitive|\<#539F\>\<#8BED\>|<pageref|auto-1>>
|
|
|
|
<tuple|normal|expression|\<#8868\>\<#8FBE\>\<#5F0F\>|<pageref|auto-2>>
|
|
|
|
<tuple|normal|procedure|\<#51FD\>\<#6570\>|<pageref|auto-3>>
|
|
|
|
<tuple|normal|combination|\<#7EC4\>\<#5408\>|<pageref|auto-4>>
|
|
|
|
<tuple|normal|abstraction|\<#62BD\>\<#8C61\>|<pageref|auto-5>>
|
|
|
|
<tuple|normal|combinations|\<#7EC4\>\<#5408\>\<#5F0F\>|<pageref|auto-6>>
|
|
|
|
<tuple|normal|compound procedure|\<#590D\>\<#5408\>\<#51FD\>\<#6570\>|<pageref|auto-9>>
|
|
|
|
<tuple|normal|substitution model|\<#4EE3\>\<#6362\>\<#6A21\>\<#578B\>|<pageref|auto-10>>
|
|
|
|
<tuple|normal|applicative order evaluation|\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>|<pageref|auto-12>>
|
|
|
|
<tuple|normal|normal order evaluation|\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>|<pageref|auto-14>>
|
|
</associate>
|
|
<\associate|toc>
|
|
<with|par-left|<quote|3tab>|\<#5E94\>\<#7528\>\<#5E8F\>\<#6C42\>\<#503C\>
|
|
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
|
|
<no-break><pageref|auto-11>>
|
|
|
|
<with|par-left|<quote|3tab>|\<#6B63\>\<#5219\>\<#5E8F\>\<#6C42\>\<#503C\>
|
|
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
|
|
<no-break><pageref|auto-13>>
|
|
|
|
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|\<#672F\>\<#8BED\>\<#8868\>>
|
|
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
|
|
<no-break><pageref|auto-15><vspace|0.5fn>
|
|
</associate>
|
|
</collection>
|
|
</auxiliary> |