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用 C 语言开发一门编程语言 — 基于 Lambda 表达式的函数设计与实现

发布2023-03-02浏览1911次

详情内容

目录

前言

通过开发一门类 Lisp 的编程语言来理解编程语言的设计思想,本实践来自著名的《Build Your Own Lisp》。

  • 代码实现:https://github.com/JmilkFan/Lispy

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 — 语法解析器运行原理
用 C 语言开发一门编程语言 — 波兰表达式解析器
用 C 语言开发一门编程语言 — 表达式存储器
用 C 语言开发一门编程语言 — 符号表达式解析器
用 C 语言开发一门编程语言 — 引用表达式解析器
用 C 语言开发一门编程语言 — 变量的设计与实现

Lambda 表达式

Lambda 表达式(Lambda Expression),命名来自数学中的 λ 运算,是一种简单而强大的函数定义方法。在编程语言中,Lambda 表达式是一种用于定义函数的函数,可以在运行时创建,并赋值给给其他函数。

例如 Python lambda:

lambda arguments: expression

    在以往的文章中,我们实现了 S-Expression、Q-Expression 和 Variable,有了这些条件,我们就可以继续实现基于 Lambda 表达式的函数定义机制了。

    Lambda 表达式解析器

    语法规则定义

    首先,我们还是要定义 Lambda Expression 的语法规则:

    • 使用 / 符号来作为声明标识,这是为了向 Lambda 表达式致敬。
    • 随后紧跟形式参数列表和函数定义。

    例如:

    \ {x y} {+ x y}
    

      然后,将 Lambda Expression 与 S-Expresion 进行结合,以接受实际参数,并进行运算:

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

        最后,再应用前文中实现的 “变量元素“ def 将 Lambda Expression 的函数定义赋值给一个 “别名“:

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

          如此的,开发者就可以在后续进行函数调用了:

          add-together 10 20
          

            存储器实现

            从上述语法规则的设计,Lambda Expression 应该由以下 3 个部分组成:

            1. 形参列表
            2. Q-Expression
            3. 实参列表

            我们继续扩展 Lispy Values(用户输入数据存储器)的功能,为 Lambda Expression 添加 formals 和 body 字段。并且,我们也继续扩展 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。

            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;
            };
            
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            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;
            
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            Lambda Function

            内建函数实现

            继续实现内建的 Lambda Function,类似前文实现的 Variable Function(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);
            }
            
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            全局变量和局部变量实现

            一个理想的状态,编程语言可以为每个函数提供相关的运行时环境,例如:函数栈帧,函数可以在这个环境中完成参数的传递和运算。

            但目前为止,我们还只是实现了一个全局的交互式环境。所以,现在我们需要修改 Lenv 的定义,通过引入父子关系来实现局部的函数执行环境。

            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;
            }
            
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            引入父子环境变量之后,需要改造变量读取函数,增加遍历特性。

            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);
              }
            }
            
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            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;
            }
            
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            拥有父环境也改变了我们定义一个变量的方式也改变了,现在有 2 种方法可以定义一个变量:

            1. 可以在本地,最内层环境中定义它,
            2. 也可以在全局,最外层环境中定义它。

            所以,我们将 lenv_put 函数保持不变,用于在本地环境中的变量定义。另外,在增加 lenv_def 函数用于在全局环境中的变量定义。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。

            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);
            }
            
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            最后将新函数注册到函数路由器中,以便开发者可以在交互式解析器使用对应的符号(关键字)。

            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();
            }
            
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            函数调用实现

            当这个函数是一个内置函数时,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实际参数都绑定到 formals 字段,完成后,再计算 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);
              }
            
            }
            
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            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);
            
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            可变长形参列表实现

            我们希望内建的函数可以具有可变长形参列表的特性,用于接受可变数量的实参,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,随后跟着由零个或多个其他参数连接在一起所组成的一个名为 xs 的列表。

            /* 检索符号字符串中是否存在 & 可变长形参标识符。*/
            if (strcmp(sym->sym, "&") == 0) {
            
              /* 检查 & 标识符后,是否紧跟着一个符号,如果不是,则抛出一个错误。*/
              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;
            }
            
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            假设调用函数时,用户不提供任何参数,而只提供了作为函数命的第一个参数。在这种情况下,我们需要在空列表后面设置符号。并且将这个特殊情况添加到删除参数列表之后,检查所有的 formal 求值之前。

            /* 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);
            }
            
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            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;
            }
            
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            编译:

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

              运行:

              Lispy Version 0.1
              Press Ctrl+c to Exit
              
              lispy> 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>
              
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