目录

文章目录

  • 目录
  • 前文列表
  • 函数
  • Lambda 表达式
  • 函数设计
    • 函数的存储
    • 实现 Lambda 函数
    • 函数的运行环境
    • 函数调用
    • 可变长的函数参数
  • 源代码

前文列表

《用 C 语言开发一门编程语言 — 交互式解析器》
《用 C 语言开发一门编程语言 — 跨平台的可移植性》
《用 C 语言开发一门编程语言 — 语法解析器》
《用 C 语言开发一门编程语言 — 抽象语法树》
《用 C 语言开发一门编程语言 — 异常处理》
《用 C 语言开发一门编程语言 — S-表达式》
《用 C 语言开发一门编程语言 — Q-表达式》
《用 C 语言开发一门编程语言 — 变量元素设计》

函数

函数是所有程序设计的关键,其本质源自于一个数学概念,有了函数之后,程序员就可以只考虑它的意义,而不用考虑它的内部结构。在计算机科学的早期,程序员会将复杂的任务分解成一个个小的函数。那时就有人提出了一个设想:只要有足够的时间,程序员们就可以建立一个完整的函数库,以此满足所有计算的要求。当然,现今为止这个设想仍未预见有实现的苗头,主要是因为随着科技的发展计算问题也越发复杂。但很显然的,现在所有受到欢迎的编程语言都有这个趋向,提供更多的库,更好的代码重用率,更好的抽象,让我们的工作更简单。Python 就是一个非常好的例子。

Lambda 表达式

Lambda 表达式(Lambda Expression)是一种简单而强大的定义函数的方法,虽然语法有点笨拙,有很多括号和符号。Lambda 表达式的命名来自数学中的 λ 运算,对应了其中的 Lambda 抽象 (Lambda Abstraction)。

Lambda 表达式让程序员在一个列表中提供函数的名称和形式参数,它将第一个参数的作为函数名,其余的是形式参数,将它们分离出来之后,并在函数定义中使用它们。

通过 Lambda 表达式,我们可以尝试使用一些更简单的语法编写一个定义函数本身的函数。

函数设计

在以往的文章中,我们实现了 S-Expression、Q-Expression 以及变量结构,有了这些条件,我们就可以继续实现函数的定义机制了。

我们不妨首先设计一个函数定义的语法规则,函数定义的语法使用 / 进行标识,这是为了向 Lambda 表达式致敬:

\ {x y} {+ x y}

将个函数定义放入 S-Expression 中,以接受参数并进行运算:

(\ {x y} {+ x y}) 10 20

为了更友好的阅读体验,程序员还可以通过以往我们内建的 def 函数来进行创建 “别名”,就像其他的输入一样,这个 “别名” 和自定义函数的内容都会被保存在变量环境中:

def {add-together} (\ {x y} {+ x y})

最终,程序员可以如此的调用它:

add-together 10 20

下面我们来实现这个自定义函数的设计。

函数的存储

为了像存储变量那般存储一个函数,我们需要考虑它是由什么组成的:

  1. 形参
  2. Q-Expression
  3. 实参

继续丰富 Lisp Value 结构体,加入存储函数所需要的 formals、body。

struct lval {int type;/* Basic */long num;char* err;char* sym;/* Function */lbuiltin builtin;lenv* env;lval* formals;lval* body;/* Expression */int count;lval** cell;
};

并且,我们可以使用 LAVL_FUN 类型来同时表示内建函数和自定义的函数,通过 lbuiltin 函数指针是否为 NULL 来进行区别。

同样的,继续完成构造函数、析构函数、复制部分、打印部分的填充:


// 构造函数
lval* lval_lambda(lval* formals, lval* body) {lval* v = malloc(sizeof(lval));v->type = LVAL_FUN;/* Set Builtin to Null */v->builtin = NULL;/* Build new environment */v->env = lenv_new();/* Set Formals and Body */v->formals = formals;v->body = body;return v;
}// 析构函数
case LVAL_FUN:if (!v->builtin) {lenv_del(v->env);lval_del(v->formals);lval_del(v->body);}
break;// 复制的部分
case LVAL_FUN:if (v->builtin) {x->builtin = v->builtin;} else {x->builtin = NULL;x->env = lenv_copy(v->env);x->formals = lval_copy(v->formals);x->body = lval_copy(v->body);}
break;// 打印的部分
case LVAL_FUN:if (v->builtin) {printf("<builtin>");} else {printf("(\\ "); lval_print(v->formals);putchar(' '); lval_print(v->body); putchar(')');}
break;

实现 Lambda 函数

现在可以开始编写 Lambda 函数了,类似 def,需要检查类型是否正确,接着做其他的操作:

lval* builtin_lambda(lenv* e, lval* a) {/* Check Two arguments, each of which are Q-Expressions */LASSERT_NUM("\\", a, 2);LASSERT_TYPE("\\", a, 0, LVAL_QEXPR);LASSERT_TYPE("\\", a, 1, LVAL_QEXPR);/* Check first Q-Expression contains only Symbols */for (int i = 0; i < a->cell[0]->count; i++) {LASSERT(a, (a->cell[0]->cell[i]->type == LVAL_SYM),"Cannot define non-symbol. Got %s, Expected %s.",ltype_name(a->cell[0]->cell[i]->type),ltype_name(LVAL_SYM));}/* Pop first two arguments and pass them to lval_lambda */lval* formals = lval_pop(a, 0);lval* body = lval_pop(a, 0);lval_del(a);return lval_lambda(formals, body);
}

函数的运行环境

一个理想的状态,编程语言可以提供一个与函数相关的环境,在这个环境中,完成形参代入和运算。但实际上,当前整个程序就是一个全局变量的作用域。为了解决这个问题,我们可以修改 lenv 的定义,引用一个表示父类环境的字段。我们可以通过设置父类环境的全局变量来达到我们的目的:

struct lenv {lenv* par;int count;char** syms;lval** vals;
};lenv* lenv_new(void) {lenv* e = malloc(sizeof(lenv));e->par = NULL;e->count = 0;e->syms = NULL;e->vals = NULL;return e;
}

为了在环境中找到我们需要的变量,所以如果在当前环境中没有找到的话,应该去遍历父类环境:

lval* lenv_get(lenv* e, lval* k) {for (int i = 0; i < e->count; i++) {if (strcmp(e->syms[i], k->sym) == 0) {return lval_copy(e->vals[i]);}}/* If no symbol check in parent otherwise error */if (e->par) {return lenv_get(e->par, k);} else {return lval_err("Unbound Symbol '%s'", k->sym);}
}

同时,当我们使用 lval 结构体时,还需要一个新的函数来完成 “环境” 的复制:

lenv* lenv_copy(lenv* e) {lenv* n = malloc(sizeof(lenv));n->par = e->par;n->count = e->count;n->syms = malloc(sizeof(char*) * n->count);n->vals = malloc(sizeof(lval*) * n->count);for (int i = 0; i < e->count; i++) {n->syms[i] = malloc(strlen(e->syms[i]) + 1);strcpy(n->syms[i], e->syms[i]);n->vals[i] = lval_copy(e->vals[i]);}return n;
}

拥有父环境也改变了我们定义变量的概念。有两种方法可以定义一个变量:

  1. 我们可以在本地,最内层环境中定义它,
  2. 或者我们可以在全局最外层环境中定义它。

所以,我们将 lenv_put 方法保持不变,用于在本地环境中定义。但是我们将在全局环境中添加一个新的函数 lenv_def 用于定义:

void lenv_def(lenv* e, lval* k, lval* v) {/* Iterate till e has no parent */while (e->par) { e = e->par; }/* Put value in e */lenv_put(e, k, v);
}

目前这种区分似乎没有用处,但稍后我们将使用它来将部分计算结果写入到函数内的局部变量中。

我们应该为本地赋值添加另一个内置函数。我们将这个 put 放在 C 中,但在 Lisp 中给它赋予 = 符号。我们可以调整 builtin_def 函数来重用代码,我们需要注册这些函数作为内置函数:

lenv_add_builtin(e, "def", builtin_def);
lenv_add_builtin(e, "=",   builtin_put);lval* builtin_def(lenv* e, lval* a) {return builtin_var(e, a, "def");
}lval* builtin_put(lenv* e, lval* a) {return builtin_var(e, a, "=");
}lval* builtin_var(lenv* e, lval* a, char* func) {LASSERT_TYPE(func, a, 0, LVAL_QEXPR);lval* syms = a->cell[0];for (int i = 0; i < syms->count; i++) {LASSERT(a, (syms->cell[i]->type == LVAL_SYM),"Function '%s' cannot define non-symbol. ""Got %s, Expected %s.", func,ltype_name(syms->cell[i]->type),ltype_name(LVAL_SYM));}LASSERT(a, (syms->count == a->count-1),"Function '%s' passed too many arguments for symbols. ""Got %i, Expected %i.", func, syms->count, a->count-1);for (int i = 0; i < syms->count; i++) {/* If 'def' define in globally. If 'put' define in locally */if (strcmp(func, "def") == 0) {lenv_def(e, syms->cell[i], a->cell[i+1]);}if (strcmp(func, "=")   == 0) {lenv_put(e, syms->cell[i], a->cell[i+1]);}}lval_del(a);return lval_sexpr();
}

函数调用

当这个函数类型是一个内置函数时,我们可以像以前一样通过函数指针的方式来调用它。但当这个函数是一个自定义函数时,我们需要将传入的每个参数绑定到 formals 字段,完成后,我们需要计算 body 字段,此时会使用到 env 字段来作为函数调用的运算环境。

lval* lval_call(lenv* e, lval* f, lval* a) {/* If Builtin then simply apply that */if (f->builtin) { return f->builtin(e, a); }/* Record Argument Counts */int given = a->count;int total = f->formals->count;/* While arguments still remain to be processed */while (a->count) {/* If we've ran out of formal arguments to bind */if (f->formals->count == 0) {lval_del(a); return lval_err("Function passed too many arguments. ""Got %i, Expected %i.", given, total);}/* Pop the first symbol from the formals */lval* sym = lval_pop(f->formals, 0);/* Pop the next argument from the list */lval* val = lval_pop(a, 0);/* Bind a copy into the function's environment */lenv_put(f->env, sym, val);/* Delete symbol and value */lval_del(sym); lval_del(val);}/* Argument list is now bound so can be cleaned up */lval_del(a);/* If all formals have been bound evaluate */if (f->formals->count == 0) {/* Set environment parent to evaluation environment */f->env->par = e;/* Evaluate and return */return builtin_eval(f->env, lval_add(lval_sexpr(), lval_copy(f->body)));} else {/* Otherwise return partially evaluated function */return lval_copy(f);}}

更新 lval_eval_sexpr 函数来调用 lval_call:

lval* f = lval_pop(v, 0);
if (f->type != LVAL_FUN) {lval* err = lval_err("S-Expression starts with incorrect type. ""Got %s, Expected %s.",ltype_name(f->type), ltype_name(LVAL_FUN));lval_del(f); lval_del(v);return err;
}lval* result = lval_call(e, f, v);

可变长的函数参数

我们希望内建的函数可以接受可变数量的参数,例如:+ 和 join 这样的函数可以取任意数量的参数,并在逻辑上对它们进行操作。

因此,我们将使用 & 符号,让用户可以定义看起来像 {x&xs} 这样的形式的参数列表,类似于 C 语言中可变长形参符号 ...。这意味着一个函数将接受一个参数 x,后跟零个或多个其他参数,连接在一起成为一个名为 xs 的列表。

当程序分配形式参数时,会搜索 & 符号,如果它存在,取出下一个形参,并为它分配剩余的参数。重要的是我们将这个参数列表转换为 Q-Expression。此外,还需要检查 & 符号后时候紧跟了一个真正的符号,如果不是,我们应该抛出一个错误。

在第一个符号从 lval_call 的 while 循环中的 formals 中弹出后,在 lval_call 我们可以添加这个特殊情况。

/* Special Case to deal with '&' */
if (strcmp(sym->sym, "&") == 0) {/* Ensure '&' is followed by another symbol */if (f->formals->count != 1) {lval_del(a);return lval_err("Function format invalid. ""Symbol '&' not followed by single symbol.");}/* Next formal should be bound to remaining arguments */lval* nsym = lval_pop(f->formals, 0);lenv_put(f->env, nsym, builtin_list(e, a));lval_del(sym); lval_del(nsym);break;
}

假设调用函数时,用户不提供任何变量参数,而只提供第一个命名的参数。在这种情况下,我们需要在空列表后面设置符号。在删除参数列表之后,检查所有的 formal 求值之前,把这个特例添加进去。

/* If '&' remains in formal list bind to empty list */
if (f->formals->count > 0 &&strcmp(f->formals->cell[0]->sym, "&") == 0) {/* Check to ensure that & is not passed invalidly. */if (f->formals->count != 2) {return lval_err("Function format invalid. ""Symbol '&' not followed by single symbol.");}/* Pop and delete '&' symbol */lval_del(lval_pop(f->formals, 0));/* Pop next symbol and create empty list */lval* sym = lval_pop(f->formals, 0);lval* val = lval_qexpr();/* Bind to environment and delete */lenv_put(f->env, sym, val);lval_del(sym); lval_del(val);
}

源代码

#include <stdio.h>
#include <stdlib.h>
#include "mpc.h"#define LASSERT(args, cond, fmt, ...) \if (!(cond)) { lval* err = lval_err(fmt, ##__VA_ARGS__); lval_del(args); return err; }#define LASSERT_TYPE(func, args, index, expect) \LASSERT(args, args->cell[index]->type == expect, \"Function '%s' passed incorrect type for argument %i. Got %s, Expected %s.", \func, index, ltype_name(args->cell[index]->type), ltype_name(expect))#define LASSERT_NUM(func, args, num) \LASSERT(args, args->count == num, \"Function '%s' passed incorrect number of arguments. Got %i, Expected %i.", \func, args->count, num)#define LASSERT_NOT_EMPTY(func, args, index) \LASSERT(args, args->cell[index]->count != 0, \"Function '%s' passed {} for argument %i.", func, index);#ifdef _WIN32
#include <string.h>static char buffer[2048];char *readline(char *prompt) {fputs(prompt, stdout);fgets(buffer, 2048, stdin);char *cpy = malloc(strlen(buffer) + 1);strcpy(cpy, buffer);cpy[strlen(cpy) - 1] = '\0';return cpy;
}void add_history(char *unused) {}#else#ifdef __linux__
#include <readline/readline.h>
#include <readline/history.h>
#endif#ifdef __MACH__
#include <readline/readline.h>
#endif#endif/* Forward Declarations */
struct lval;
struct lenv;
typedef struct lval lval;
typedef struct lenv lenv;/* Lisp Value Type Enumeration */
enum {LVAL_NUM,LVAL_ERR,LVAL_SYM,LVAL_FUN,LVAL_SEXPR,LVAL_QEXPR
};typedef lval *(*lbuiltin)(lenv*, lval*);/* Declare lisp lval Struct */
struct lval {int type;/* Basic */long num;char *err;char *sym;/* Function */lbuiltin builtin;lenv *env;lval *formals;lval *body;/* Expression */int count;struct lval **cell;
};/* Construct a pointer to a new Number lval */
lval *lval_num(long x) {lval *v = malloc(sizeof(lval));v->type = LVAL_NUM;v->num = x;return v;
}char *ltype_name(int t) {switch(t) {case LVAL_FUN: return "Function";case LVAL_NUM: return "Number";case LVAL_ERR: return "Error";case LVAL_SYM: return "Symbol";case LVAL_SEXPR: return "S-Expression";case LVAL_QEXPR: return "Q-Expression";default: return "Unknown";}
}/* Construct a pointer to a new Error lval */
lval *lval_err(char *fmt, ...) {lval *v = malloc(sizeof(lval));v->type = LVAL_ERR;/* Create a va list and initialize it */va_list va;va_start(va, fmt);/* Allocate 512 bytes of space */v->err = malloc(512);/* printf the error string with a maximum of 511 characters */vsnprintf(v->err, 511, fmt, va);/* Reallocate to number of bytes actually used */v->err = realloc(v->err, strlen(v->err)+1);/* Cleanup our va list */va_end(va);return v;
}/* Construct a pointer to a new Symbol lval */
lval *lval_sym(char *sym) {lval *v = malloc(sizeof(lval));v->type = LVAL_SYM;v->sym = malloc(strlen(sym) + 1);strcpy(v->sym, sym);return v;
}/* A pointer to a new empty Sexpr lval */
lval *lval_sexpr(void) {lval *v = malloc(sizeof(lval));v->type = LVAL_SEXPR;v->count = 0;v->cell = NULL;return v;
}/* A pointer to a new empty Qexpr lval */
lval *lval_qexpr(void) {lval *v = malloc(sizeof(lval));v->type = LVAL_QEXPR;v->count = 0;v->cell = NULL;return v;
}lval* lval_builtin(lbuiltin func) {lval *v = malloc(sizeof(lval));v->type = LVAL_FUN;v->builtin = func;return v;
}struct lenv {lenv *par;int count;char **syms;lval **vals;
};lenv *lenv_new(void) {lenv *e = malloc(sizeof(lenv));e->par = NULL;e->count = 0;e->syms = NULL;e->vals = NULL;return e;
}lval *lval_lambda(lval *formals, lval *body) {lval *v = malloc(sizeof(lval));v->type = LVAL_FUN;/* Set Builtin to Null */v->builtin = NULL;/* Build new environment */v->env = lenv_new();/* Set Formals and Body */v->formals = formals;v->body = body;return v;
}void lenv_del(lenv *e);void lval_del(lval *v) {switch (v->type) {/* Do nothing special for number type */case LVAL_NUM:break;/* For Err or Sym free the string data */case LVAL_ERR:free(v->err);break;case LVAL_SYM:free(v->sym);break;case LVAL_FUN:if (!v->builtin) {lenv_del(v->env);lval_del(v->formals);lval_del(v->body);}break;/* If Qexpr or Sexpr then delete all elements inside */case LVAL_QEXPR:case LVAL_SEXPR:for (int i = 0; i < v->count; i++) {lval_del(v->cell[i]);}/* Also free the memory allocated to contain the pointers */free(v->cell);break;}/* Free the memory allocated for the "lval" struct itself */free(v);
}void lenv_del(lenv *e) {for (int i = 0; i < e->count; i++) {free(e->syms[i]);lval_del(e->vals[i]);}free(e->syms);free(e->vals);free(e);
}lval *lval_copy(lval *v);lenv *lenv_copy(lenv *e) {lenv *n = malloc(sizeof(lenv));n->par = e->par;n->count = e->count;n->syms = malloc(sizeof(char*) * n->count);n->vals = malloc(sizeof(lval*) * n->count);for (int i = 0; i < e->count; i++) {n->syms[i] = malloc(strlen(e->syms[i]) + 1);strcpy(n->syms[i], e->syms[i]);n->vals[i] = lval_copy(e->vals[i]);}return n;
}lval *lval_copy(lval *v) {lval *x = malloc(sizeof(lval));x->type = v->type;switch (v->type) {/* Copy Functions and Numbers Directly */case LVAL_FUN:if (v->builtin) {x->builtin = v->builtin;} else {x->builtin = NULL;x->env = lenv_copy(v->env);x->formals = lval_copy(v->formals);x->body = lval_copy(v->body);}break;case LVAL_NUM: x->num = v->num; break;/* Copy Strings using malloc and strcpy */case LVAL_ERR:x->err = malloc(strlen(v->err) + 1);strcpy(x->err, v->err);break;case LVAL_SYM:x->sym = malloc(strlen(v->sym) + 1);strcpy(x->sym, v->sym);break;/* Copy Lists by copying each sub-expression */case LVAL_SEXPR:case LVAL_QEXPR:x->count = v->count;x->cell = malloc(sizeof(lval*) * x->count);for (int i = 0; i < x->count; i++) {x->cell[i] = lval_copy(v->cell[i]);}break;}return x;
}lval *lenv_get(lenv *e, lval *k) {/* Iterate over all items in environment */for (int i = 0; i < e->count; i++) {/* Check if the stored string matches the symbol string *//* If it does, return a copy of the value */if (strcmp(e->syms[i], k->sym) == 0) {return lval_copy(e->vals[i]);}}/* If no symbol check in parent otherwise error */if (e->par) {return lenv_get(e->par, k);} else {return lval_err("Unbound Symbol '%s'", k->sym);}
}void lenv_put(lenv *e, lval *k, lval *v) {/* Iterate over all items in environment *//* This is to see if variable already exists */for (int i = 0; i < e->count; i++) {/* If variable is found delete item at that position *//* And replace with variable supplied by user */if (strcmp(e->syms[i], k->sym) == 0) {lval_del(e->vals[i]);e->vals[i] = lval_copy(v);return;}}/* If no existing entry found allocate space for new entry */e->count++;e->vals = realloc(e->vals, sizeof(lval*) * e->count);e->syms = realloc(e->syms, sizeof(char*) * e->count);/* Copy contents of lval and symbol string into new location */e->vals[e->count-1] = lval_copy(v);e->syms[e->count-1] = malloc(strlen(k->sym)+1);strcpy(e->syms[e->count-1], k->sym);
}void lenv_def(lenv *e, lval *k, lval *v) {/* Iterate till e has no parent */while (e->par) {e = e->par;}/* Put value in e */lenv_put(e, k, v);
}lval *lval_add(lval *v, lval *x) {v->count++;v->cell = realloc(v->cell, sizeof(lval*) * v->count);v->cell[v->count-1] = x;return v;
}lval *lval_read_num(mpc_ast_t *t) {errno = 0;long x = strtol(t->contents, NULL, 10);return errno != ERANGE? lval_num(x): lval_err("invalid number");
}lval *lval_read(mpc_ast_t *t) {/* If Symbol or Number return conversion to that type */if (strstr(t->tag, "number")) {return lval_read_num(t);}if (strstr(t->tag, "symbol")) {return lval_sym(t->contents);}/* If root (>) or sexpr then create empty list */lval *x = NULL;if (strcmp(t->tag, ">") == 0) {x = lval_sexpr();}if (strstr(t->tag, "sexpr"))  {x = lval_sexpr();}if (strstr(t->tag, "qexpr")) {x = lval_qexpr();}/* Fill this list with any valid expression contained within */for (int i = 0; i < t->children_num; i++) {if (strcmp(t->children[i]->contents, "(") == 0) { continue; }if (strcmp(t->children[i]->contents, ")") == 0) { continue; }if (strcmp(t->children[i]->contents, "}") == 0) { continue; }if (strcmp(t->children[i]->contents, "{") == 0) { continue; }if (strcmp(t->children[i]->tag,  "regex") == 0) { continue; }x = lval_add(x, lval_read(t->children[i]));}return x;
}void lval_print(lval *v);void lval_expr_print(lval *v, char open, char close) {putchar(open);for (int i = 0; i < v->count; i++) {/* Print Value contained within */lval_print(v->cell[i]);/* Don't print trailing space if last element */if (i != (v->count-1)) {putchar(' ');}}putchar(close);}/* Print an "lval*" */
void lval_print(lval *v) {switch (v->type) {case LVAL_NUM:   printf("%li", v->num); break;case LVAL_ERR:   printf("Error: %s", v->err); break;case LVAL_SYM:   printf("%s", v->sym); break;case LVAL_SEXPR: lval_expr_print(v, '(', ')'); break;case LVAL_QEXPR: lval_expr_print(v, '{', '}'); break;case LVAL_FUN:if (v->builtin) {printf("<builtin>");} else {printf("(\\ "); lval_print(v->formals);putchar(' ');lval_print(v->body);putchar(')');}break;}
}/* Print an "lval" followed by a newline */
void lval_println(lval *v) {lval_print(v);putchar('\n');
}lval *lval_pop(lval *v, int i) {/* Find the item at "i" */lval *x = v->cell[i];/* Shift memory after the item at "i" over the top */memmove(&v->cell[i], &v->cell[i+1],sizeof(lval*) * (v->count-i-1));/* Decrease the count of items in the list */v->count--;/* Reallocate the memory used */v->cell = realloc(v->cell, sizeof(lval*) * v->count);return x;
}lval *lval_take(lval *v, int i) {lval *x = lval_pop(v, i);lval_del(v);return x;
}lval *builtin_eval(lenv* e, lval *a);
lval *builtin_list(lenv *e, lval *a);lval *lval_call(lenv *e, lval *f, lval *a) {/* If Builtin then simply apply that */if (f->builtin) {return f->builtin(e, a);}/* Record Argument Counts */int given = a->count;int total = f->formals->count;/* While arguments still remain to be processed */while (a->count) {/* If we've ran out of formal arguments to bind */if (f->formals->count == 0) {lval_del(a);return lval_err("Function passed too many arguments. ""Got %i, Expected %i.", given, total);}/* Pop the first symbol from the formals */lval *sym = lval_pop(f->formals, 0);/* Special Case to deal with '&' */if (strcmp(sym->sym, "&") == 0) {/* Ensure '&' is followed by another symbol */if (f->formals->count != 1) {lval_del(a);return lval_err("Function format invalid. ""Symbol '&' not followed by single symbol.");}/* Next formal should be bound to remaining arguments */lval *nsym = lval_pop(f->formals, 0);lenv_put(f->env, nsym, builtin_list(e, a));lval_del(sym); lval_del(nsym);break;}/* Pop the next argument from the list */lval* val = lval_pop(a, 0);/* Bind a copy into the function's environment */lenv_put(f->env, sym, val);/* Delete symbol and value */lval_del(sym); lval_del(val);}/* Argument list is now bound so can be cleaned up */lval_del(a);/* If '&' remains in formal list bind to empty list */if (f->formals->count > 0 && strcmp(f->formals->cell[0]->sym, "&") == 0) {/* Check to ensure that & is not passed invalidly. */if (f->formals->count != 2) {return lval_err("Function format invalid. ""Symbol '&' not followed by single symbol.");}/* Pop and delete '&' symbol */lval_del(lval_pop(f->formals, 0));/* Pop next symbol and create empty list */lval* sym = lval_pop(f->formals, 0);lval* val = lval_qexpr();/* Bind to environment and delete */lenv_put(f->env, sym, val);lval_del(sym); lval_del(val);}/* If all formals have been bound evaluate */if (f->formals->count == 0) {/* Set environment parent to evaluation environment */f->env->par = e;/* Evaluate and return */return builtin_eval(f->env, lval_add(lval_sexpr(),lval_copy(f->body)));} else {/* Otherwise return partially evaluated function */return lval_copy(f);}
}lval *lval_eval(lenv *e, lval *v);
lval *builtin(lval* a, char* func);lval *lval_eval_sexpr(lenv *e, lval *v) {/* Evaluate Children */for (int i = 0; i < v->count; i++) {v->cell[i] = lval_eval(e, v->cell[i]);}/* Error Checking */for (int i = 0; i < v->count; i++) {if (v->cell[i]->type == LVAL_ERR) {return lval_take(v, i);}}/* Empty Expression */if (v->count == 0) { return v; }/* Single Expression */if (v->count == 1) { return lval_take(v, 0); }/* Ensure first element is a function after evaluation */lval *f = lval_pop(v, 0);if (f->type != LVAL_FUN) {lval *err = lval_err("S-Expression starts with incorrect type. ""Got %s, Expected %s.",ltype_name(f->type), ltype_name(LVAL_FUN));lval_del(f);lval_del(v);return err;}lval *result = lval_call(e, f, v);lval_del(f);return result;
}lval *lval_eval(lenv *e, lval *v) {if (v->type == LVAL_SYM) {lval *x = lenv_get(e, v);lval_del(v);return x;}/* Evaluate Sexpressions */if (v->type == LVAL_SEXPR) {return lval_eval_sexpr(e, v);}/* All other lval types remain the same */return v;
}lval *builtin_op(lenv* e, lval *a, char *op) {/* Ensure all arguments are numbers */for (int i = 0; i < a->count; i++) {LASSERT_TYPE(op, a, i, LVAL_NUM);}/* Pop the first element */lval *x = lval_pop(a, 0);/* If no arguments and sub then perform unary negation */if ((strcmp(op, "-") == 0) && a->count == 0) {x->num = -x->num;}/* While there are still elements remaining */while (a->count > 0) {/* Pop the next element */lval *y = lval_pop(a, 0);if (strcmp(op, "+") == 0) { x->num += y->num; }if (strcmp(op, "-") == 0) { x->num -= y->num; }if (strcmp(op, "*") == 0) { x->num *= y->num; }if (strcmp(op, "/") == 0) {if (y->num == 0) {lval_del(x);lval_del(y);x = lval_err("Division By Zero!");break;}x->num /= y->num;}lval_del(y);}lval_del(a);return x;
}lval *builtin_head(lenv* e, lval *a) {LASSERT_NUM("head", a, 1);LASSERT_TYPE("head", a, 0, LVAL_QEXPR);LASSERT_NOT_EMPTY("head", a, 0);/* Otherwise take first argument */lval *v = lval_take(a, 0);/* Delete all elements that are not head and return */while (v->count > 1) {lval_del(lval_pop(v, 1));}return v;
}lval *builtin_tail(lenv *e, lval *a) {LASSERT_NUM("tail", a, 1);LASSERT_TYPE("tail", a, 0, LVAL_QEXPR);LASSERT_NOT_EMPTY("tail", a, 0);/* Take first argument */lval *v = lval_take(a, 0);/* Delete first element and return */lval_del(lval_pop(v, 0));return v;}lval *builtin_list(lenv *e, lval *a) {a->type = LVAL_QEXPR;return a;
}lval *builtin_eval(lenv* e, lval *a) {LASSERT_NUM("eval", a, 1);LASSERT_TYPE("eval", a, 0, LVAL_QEXPR);lval *x = lval_take(a, 0);x->type = LVAL_SEXPR;return lval_eval(e, x);
}lval *lval_join(lval *x, lval *y) {/* For each cell in 'y' add it to 'x' */while (y->count) {x = lval_add(x, lval_pop(y, 0));}/* Delete the empty 'y' and return 'x' */lval_del(y);return x;
}lval *builtin_join(lenv *e, lval *a) {for (int i = 0; i < a->count; i++) {LASSERT_TYPE("join", a, i, LVAL_QEXPR);}lval *x = lval_pop(a, 0);while (a->count) {x = lval_join(x, lval_pop(a, 0));}lval_del(a);return x;
}lval *builtin_add(lenv *e, lval *a) {return builtin_op(e, a, "+");
}lval *builtin_sub(lenv *e, lval *a) {return builtin_op(e, a, "-");
}lval *builtin_mul(lenv *e, lval *a) {return builtin_op(e, a, "*");
}lval *builtin_div(lenv *e, lval *a) {return builtin_op(e, a, "/");
}void lenv_add_builtin(lenv *e, char *name, lbuiltin func) {lval *k = lval_sym(name);lval* v = lval_builtin(func);lenv_put(e, k, v);lval_del(k); lval_del(v);
}lval *builtin_var(lenv *e, lval *a, char *func) {LASSERT_TYPE(func, a, 0, LVAL_QEXPR);lval* syms = a->cell[0];for (int i = 0; i < syms->count; i++) {LASSERT(a, (syms->cell[i]->type == LVAL_SYM),"Function '%s' cannot define non-symbol. ""Got %s, Expected %s.", func,ltype_name(syms->cell[i]->type),ltype_name(LVAL_SYM));}LASSERT(a, (syms->count == a->count-1),"Function '%s' passed too many arguments for symbols. ""Got %i, Expected %i.", func, syms->count, a->count-1);for (int i = 0; i < syms->count; i++) {/* If 'def' define in globally. If 'put' define in locally */if (strcmp(func, "def") == 0) {lenv_def(e, syms->cell[i], a->cell[i+1]);}if (strcmp(func, "=") == 0) {lenv_put(e, syms->cell[i], a->cell[i+1]);}}lval_del(a);return lval_sexpr();
}lval *builtin_def(lenv *e, lval *a) {return builtin_var(e, a, "def");
}lval *builtin_put(lenv *e, lval *a) {return builtin_var(e, a, "=");
}lval *builtin_lambda(lenv *e, lval *a) {/* Check Two arguments, each of which are Q-Expressions */LASSERT_NUM("\\", a, 2);LASSERT_TYPE("\\", a, 0, LVAL_QEXPR);LASSERT_TYPE("\\", a, 1, LVAL_QEXPR);/* Check first Q-Expression contains only Symbols */for (int i = 0; i < a->cell[0]->count; i++) {LASSERT(a, (a->cell[0]->cell[i]->type == LVAL_SYM),"Cannot define non-symbol. Got %s, Expected %s.",ltype_name(a->cell[0]->cell[i]->type),ltype_name(LVAL_SYM));}/* Pop first two arguments and pass them to lval_lambda */lval *formals = lval_pop(a, 0);lval *body = lval_pop(a, 0);lval_del(a);return lval_lambda(formals, body);
}void lenv_add_builtins(lenv *e) {/* Variable Functions */lenv_add_builtin(e, "def", builtin_def);lenv_add_builtin(e, "\\",  builtin_lambda);lenv_add_builtin(e, "=",   builtin_put);/* List Functions */lenv_add_builtin(e, "list", builtin_list);lenv_add_builtin(e, "head", builtin_head);lenv_add_builtin(e, "tail", builtin_tail);lenv_add_builtin(e, "eval", builtin_eval);lenv_add_builtin(e, "join", builtin_join);/* Mathematical Functions */lenv_add_builtin(e, "+", builtin_add);lenv_add_builtin(e, "-", builtin_sub);lenv_add_builtin(e, "*", builtin_mul);lenv_add_builtin(e, "/", builtin_div);
}int main(int argc, char *argv[]) {/* Create Some Parsers */mpc_parser_t *Number   = mpc_new("number");mpc_parser_t* Symbol   = mpc_new("symbol");mpc_parser_t* Sexpr    = mpc_new("sexpr");mpc_parser_t *Qexpr    = mpc_new("qexpr");mpc_parser_t *Expr     = mpc_new("expr");mpc_parser_t *Lispy    = mpc_new("lispy");/* Define them with the following Language */mpca_lang(MPCA_LANG_DEFAULT,"                                                       \number   : /-?[0-9]+/ ;                                 \symbol   : /[a-zA-Z0-9_+\\-*\\/\\\\=<>!&]+/ ;           \sexpr    : '(' <expr>* ')' ;                            \qexpr    : '{' <expr>* '}' ;                            \expr     : <number> | <symbol> | <sexpr> | <qexpr> ;    \lispy    : /^/ <expr>* /$/ ;                            \",Number, Symbol, Sexpr, Qexpr, Expr, Lispy);puts("Lispy Version 0.1");puts("Press Ctrl+c to Exit\n");lenv *e = lenv_new();lenv_add_builtins(e);while(1) {char *input = readline("lispy> ");add_history(input);/* Attempt to parse the user input */mpc_result_t r;if (mpc_parse("<stdin>", input, Lispy, &r)) {/* On success print and delete the AST */lval *x = lval_eval(e, lval_read(r.output));lval_println(x);lval_del(x);mpc_ast_delete(r.output);} else {/* Otherwise print and delete the Error */mpc_err_print(r.error);mpc_err_delete(r.error);}free(input);}lenv_del(e);/* Undefine and delete our parsers */mpc_cleanup(6, Number, Symbol, Sexpr, Qexpr, Expr, Lispy);return 0;
}

编译:

gcc -g -std=c99 -Wall parsing.c mpc.c -lreadline -lm -o parsing

运行:

$ ./parsing
Lispy Version 0.1
Press Ctrl+c to Exitlispy> def {add-mul} (\ {x y} {+ x (* x y)})
()
lispy> add-mul 10 20
210
lispy> add-mul 10
(\ {y} {+ x (* x y)})
lispy> def {add-mul-ten} (add-mul 10)
()
lispy> add-mul-ten 50
510
lispy>

用 C 语言开发一门编程语言 — 基于 Lambda 表达式的函数设计相关推荐

  1. 用 C 语言开发一门编程语言 — 字符串与文件加载

    目录 文章目录 目录 前文列表 字符串 读取字符串 注释 文件加载函数 命令行参数 打印函数 报错函数 源代码 前文列表 <用 C 语言开发一门编程语言 - 交互式解析器> <用 C ...

  2. 用 C 语言开发一门编程语言 — 条件分支

    目录 文章目录 目录 前文列表 条件分支 排序函数 等于函数 if 函数 递归函数 源代码 前文列表 <用 C 语言开发一门编程语言 - 交互式解析器> <用 C 语言开发一门编程语 ...

  3. 用 C 语言开发一门编程语言 — 字符串的设计与实现

    目录 文章目录 目录 前言 前文列表 字符串与文件库 字符串 print 关键字函数 error 关键字函数 注释 文件加载 函数注册 命令行参数 前言 通过开发一门类 Lisp 的编程语言来理解编程 ...

  4. 用 C 语言开发一门编程语言 — 变量元素设计

    目录 文章目录 目录 前文列表 变量 变量语法规则 变量的读取和存储 将变量加入 Lisp Value 体系 变量的计算 变量的定义与赋值 异常处理优化 源代码 前文列表 <用 C 语言开发一门 ...

  5. 用 C 语言开发一门编程语言 — Q-表达式

    目录 文章目录 目录 前文列表 Q-表达式 读取并存储输入 实现 Q-Expression 语法解析器 读取 Q-Expression 实现 Q-Expression 的函数 Head & T ...

  6. 用 C 语言开发一门编程语言 — S-表达式

    目录 文章目录 目录 前文列表 使用 S-表达式进行重构 读取并存储输入 实现 S-Expression 语法解析器 实现 S-Expression 存储器 实现 lval 变量的构造函数 实现 lv ...

  7. 用 C 语言开发一门编程语言 — 异常处理

    目录 文章目录 目录 前文列表 异常捕获 定义 Lisp Value 函数 前文列表 <用 C 语言开发一门编程语言 - 交互式解析器l> <用 C 语言开发一门编程语言 - 跨平台 ...

  8. 用 C 语言开发一门编程语言 — 抽象语法树

    目录 文章目录 目录 前文列表 抽象语法树的结构 使用递归来遍历树结构 实现求值计算 抽象语法树与行为树 前文列表 <用 C 语言开发一门编程语言 - 交互式解析器l> <用 C 语 ...

  9. 用 C 语言开发一门编程语言 — 语法解析器

    目录 文章目录 目录 前文列表 编程语言的本质 词法分析 语法分析 使用 MPC 解析器组合库 安装 快速入门 实现波兰表达式的语法解析 波兰表达式 正则表达式 代码实现 前文列表 <用 C 语 ...

最新文章

  1. 深度学习-智能视频监控
  2. 学习编程能够从事哪些行业?
  3. 命名空间和模块化编程3
  4. python编程加油_编程学习资料,中途加油站,c++/java/python/小程序/人工智能......等等等等...
  5. 保姆级教学:缓存穿透、缓存击穿和缓存雪崩!
  6. Can't save in background: fork: Cannot allocate memory
  7. React-Native 之 GD (十三)数据持久化(realm) 及 公共Cell
  8. shell基础之shell相关概念
  9. ubuntu12.04 Struts2 配置过程中出现的错误
  10. Linux操作环境下配置MMIX环境
  11. 数字图像处理(19): 边缘检测算子(Roberts算子、Prewitt算子、Sobel算子 和 Laplacian算子)
  12. yolov3详细讲解
  13. Android ViewGroup中addView方法使用
  14. 数据存储---内存列式数据库KDB+(Q)文档
  15. Kubernetes-10 K8s集群安全机制
  16. 2013 NMPD展示预览,第1部分
  17. 【图像分类损失】PolyLoss:一个优于 Cross-entropy loss和Focal loss的分类损失
  18. linux barrier,Linux文件系统的barrier:启用还是禁用
  19. MySQL基本操作,个人总结。(WampServer小补充)
  20. BGP专线 解决南北互联互通

热门文章

  1. centos6.5下载卸载mysql_Linux CentOS 6.5 卸载、tar安装MySQL
  2. 解决 win10 下载文件到某盘 没有权限
  3. 脑电分析系列[MNE-Python-9]| 参考电极应用
  4. ERROR: Command errored out with exit status 1: python setup.py egg_info Check the logs for full comm
  5. 国际10-20标准电极位置
  6. 清华北大等12校首批开设“未来技术学院”,它们都设置了哪些专业?
  7. 杨元庆捐资1亿人民币,要为母校上海交大建“最好的”高性能计算中心
  8. 刚刚,旷视开源深度学习框架「天元」:Brain++内核,研发和落地都在用;孙剑:COCO三连冠背后的秘密武器...
  9. 2019年Reddit机器学习板块17个最佳项目:最新代码、资源应有尽有
  10. 波士顿动力双足机器人Atlas放出逆天体操表演,网友:比我还强