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Refactored docs.
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177
README.md
177
README.md
@@ -26,30 +26,91 @@ Here is a minimal example to evaluate an expression at runtime.
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```C
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#include "tinyexpr.h"
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#include <stdio.h>
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int main(int argc, char *argv[])
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{
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const char *c = "sqrt(5^2+7^2+11^2+(8-2)^2)";
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double r = te_interp(c, 0);
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printf("The expression:\n\t%s\nevaluates to:\n\t%f\n", c, r);
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return 0;
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}
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printf("%f\n", te_interp("5*5", 0)); /* Prints 25. */
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```
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That produces the following output:
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##Usage
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The expression:
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sqrt(5^2+7^2+11^2+(8-2)^2)
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evaluates to:
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15.198684
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TINYEXPR defines only four functions:
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```C
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double te_interp(const char *expression, int *error);
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te_expr *te_compile(const char *expression, const te_variable *variables, int var_count, int *error);
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double te_eval(const te_expr *n);
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void te_free(te_expr *n);
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```
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##te_interp
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```C
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double te_interp(const char *expression, int *error);
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```
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`te_interp()` takes an expression and immediately returns the result of it. If there
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is a parse error, `te_interp()` returns NaN.
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If the `error` pointer argument is not 0, then `te_interp()` will set `*error` to the position
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of the parse error on failure, and set `*error` to 0 on success.
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**example usage:**
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```C
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int error;
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double a = te_interp("(5+5)", 0); /* Returns 10. */
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double a = te_interp("(5+5)", &error); /* Returns 10, error is set to 0. */
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double b = te_interp("(5+5", &error); /* Returns NaN, error is set to 4. */
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```
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##te_compile, te_eval, te_free
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```C
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te_expr *te_compile(const char *expression, const te_variable *lookup, int lookup_len, int *error);
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double te_eval(const te_expr *n);
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void te_free(te_expr *n);
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```
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Give `te_compile()` an expression with unbound variables and a list of
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variable names and pointers. `te_compile()` will return a `te_expr*` which can
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be evaluated later using `te_eval()`. On failure, `te_compile()` will return 0
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and optionally set the passed in `*error` to the location of the parse error.
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You may also compile expressions without variables by passing `te_compile()`'s second
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and thrid arguments as 0.
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Give `te_eval()` a `te_expr*` from `te_compile()`. `te_eval()` will evaluate the expression
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using the current variable values.
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After you're finished, make sure to call `te_free()`.
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**example usage:**
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```C
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double x, y;
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/* Store variable names and pointers. */
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te_variable vars[] = {{"x", &x}, {"y", &y}};
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int err;
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/* Compile the expression with variables. */
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te_expr *expr = te_compile("sqrt(x^2+y^2)", vars, 2, &err);
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if (expr) {
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x = 3; y = 4;
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const double h1 = te_eval(expr); /* Returns 5. */
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x = 5; y = 12;
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const double h2 = te_eval(expr); /* Returns 13. */
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te_free(expr);
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} else {
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printf("Parse error at %d\n", err);
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}
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```
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##Longer Example
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Here is an example that will evaluate an expression passed in from the command
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line. It also does error checking and binds the variables *x* and *y*.
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Here is a complete example that will evaluate an expression passed in from the command
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line. It also does error checking and binds the variables `x` and `y` to *3* and *4*, respectively.
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```C
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#include "tinyexpr.h"
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@@ -58,7 +119,7 @@ line. It also does error checking and binds the variables *x* and *y*.
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int main(int argc, char *argv[])
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{
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if (argc < 2) {
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printf("Usage: example2 \"expression\"\n", argv[0]);
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printf("Usage: example2 \"expression\"\n");
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return 0;
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}
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@@ -74,21 +135,18 @@ line. It also does error checking and binds the variables *x* and *y*.
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int err;
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te_expr *n = te_compile(expression, vars, 2, &err);
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if (!err) {
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if (n) {
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/* The variables can be changed here, and eval can be called as many
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* times as you like. This is fairly efficient because the parsing has
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* already been done. */
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x = 3;
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y = 4;
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const double r = te_eval(n); printf("Result:\n\t%f\n", r); }
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else {
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x = 3; y = 4;
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const double r = te_eval(n); printf("Result:\n\t%f\n", r);
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te_free(n);
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} else {
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/* Show the user where the error is at. */
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printf("\t%*s^\nError near here", err-1, "");
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}
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/* te_free is safe to call on null. */
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te_free(n);
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return 0;
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}
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```
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@@ -110,75 +168,25 @@ This produces the output:
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5.000000
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##Usage
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TINYEXPR defines only five functions:
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```C
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double te_interp(const char *expression, int *error);
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te_expr *te_compile(const char *expression, const te_variable *lookup, int lookup_len, int *error);
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double te_eval(const te_expr *n);
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void te_print(const te_expr *n);
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void te_free(te_expr *n);
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```
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**te_interp** takes an expression and immediately returns the result of it. If
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an error pointer is passed in, *te_interp* will set it to 0 for success or
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approximately the position of the error for failure. If you don't care about
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errors, just pass in 0. *te_interp* will return NaN for bad expressions regardless.
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**te_interp example:**
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```C
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double x = te_interp("5+5", 0);
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```
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**te_compile** will compile an expression with unbound variables, which will
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be suitable to evaluate later. **te_eval** can then be called on the compiled
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expression repeatedly to evaluate it with different variable values. **te_free**
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should be called after you're finished.
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**te_compile example:**
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```C
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double x, y;
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te_variable vars[] = {{"x", &x}, {"y", &y}};
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int err;
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te_expr *expr = te_compile("sqrt(x^2+y^2)", vars, 2, &err);
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if (!err) {
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x = 3; y = 4;
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const double h1 = te_eval(expr);
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x = 5; y = 7;
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const double h2 = te_eval(expr);
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}
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te_free(expr);
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```
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**te_print** will display some (possibly not so) useful debugging
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information about the return value of *te_compile*.
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##How it works
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**te_compile** uses a simple recursive descent parser to compile your
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expression into a syntax tree. For example, the expression "sin x + 1/4"
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`te_compile()` uses a simple recursive descent parser to compile your
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expression into a syntax tree. For example, the expression `"sin x + 1/4"`
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parses as:
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**te_compile** also automatically prunes constant branches. In this example,
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the compiled expression returned by *te_compile* is:
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`te_compile()` also automatically prunes constant branches. In this example,
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the compiled expression returned by `te_compile()` would become:
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**te_eval** will automatically load in any variables by their pointer, then evaluate
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`te_eval()` will automatically load in any variables by their pointer, and then evaluate
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and return the result of the expression.
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**te_free** should always be called when you're done with the compiled expression.
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`te_free()` should always be called when you're done with the compiled expression.
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##Speed
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@@ -186,11 +194,11 @@ and return the result of the expression.
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TINYEXPR is pretty fast compared to C when the expression is short, when the
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expression does hard calculations (e.g. exponentiation), and when some of the
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work can be simplified by *te_compile*. TINYEXPR is slow compared to C when the
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work can be simplified by `te_compile()`. TINYEXPR is slow compared to C when the
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expression is long and involves only basic arithmetic.
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Here is some example performance numbers taken from the included
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*benchmark.c* program:
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**benchmark.c** program:
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| Expression | te_eval time | native C time | slowdown |
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| :------------- |-------------:| -----:|----:|
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@@ -235,9 +243,6 @@ In addition, the following C math functions are also supported:
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- All functions/types start with the letters *te*.
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- If there is an error, you can usually still evaluate the first part of the
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expression. This may or may not be useful to you.
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- To allow constant optimization, surround constant expressions in parentheses.
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For example "x+(1+5)" will evaluate the "(1+5)" expression at compile time and
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compile the entire expression as "x+6", saving a runtime calculation. The
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13
example2.c
13
example2.c
@@ -20,20 +20,19 @@ int main(int argc, char *argv[])
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int err;
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te_expr *n = te_compile(expression, vars, 2, &err);
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if (!err) {
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if (n) {
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/* The variables can be changed here, and eval can be called as many
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* times as you like. This is fairly efficient because the parsing has
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* already been done. */
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x = 3;
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y = 4;
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const double r = te_eval(n); printf("Result:\n\t%f\n", r); }
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else {
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x = 3; y = 4;
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const double r = te_eval(n); printf("Result:\n\t%f\n", r);
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te_free(n);
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} else {
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/* Show the user where the error is at. */
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printf("\t%*s^\nError near here", err-1, "");
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}
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/* te_free is safe to call on null. */
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te_free(n);
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return 0;
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}
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