Implementing Math.sin and Math.cos built-in routines.

This commit is contained in:
Ruben Ayrapetyan
2014-12-04 11:33:10 +03:00
parent 557a4b6460
commit d2f6b36cf7
2 changed files with 187 additions and 4 deletions
+116 -4
View File
@@ -175,10 +175,66 @@ ecma_builtin_math_object_ceil (ecma_value_t this_arg, /**< 'this' argument */
* Returned value must be freed with ecma_free_completion_value.
*/
static ecma_completion_value_t
ecma_builtin_math_object_cos (ecma_value_t this_arg, /**< 'this' argument */
ecma_builtin_math_object_cos (ecma_value_t this_arg __unused, /**< 'this' argument */
ecma_value_t arg) /**< routine's argument */
{
ECMA_BUILTIN_CP_UNIMPLEMENTED (this_arg, arg);
ecma_completion_value_t ret_value;
ECMA_TRY_CATCH (arg_num_value,
ecma_op_to_number (arg),
ret_value);
ecma_number_t *num_p = ecma_alloc_number ();
const ecma_number_t arg_num = *ecma_get_number_from_completion_value (arg_num_value);
if (ecma_number_is_nan (arg_num)
|| ecma_number_is_infinity (arg_num))
{
*num_p = ecma_number_make_nan ();
}
else if (ecma_number_is_zero (arg_num))
{
*num_p = ECMA_NUMBER_ONE;
}
else
{
/* Taylor series of cos (x) around x = 0 is 1 - x^2/2! + x^4/4! - x^6/6! + ... */
ecma_number_t x = ecma_op_number_remainder (arg_num, 2 * ECMA_NUMBER_PI);
ecma_number_t neg_sqr_x = ecma_number_negate (ecma_number_multiply (x, x));
ecma_number_t sum = ECMA_NUMBER_ZERO;
ecma_number_t next_addendum = ECMA_NUMBER_ONE;
ecma_number_t next_factorial_factor = ECMA_NUMBER_ZERO;
ecma_number_t diff = ecma_number_make_infinity (false);
while ((ecma_number_is_zero (sum) && !ecma_number_is_zero (diff))
|| (!ecma_number_is_zero (sum)
&& ecma_number_abs (ecma_number_divide (diff, sum)) > ecma_number_relative_eps))
{
ecma_number_t next_sum = ecma_number_add (sum, next_addendum);
next_addendum = ecma_number_multiply (next_addendum, neg_sqr_x);
next_factorial_factor = ecma_number_add (next_factorial_factor, ECMA_NUMBER_ONE);
next_addendum = ecma_number_divide (next_addendum, next_factorial_factor);
next_factorial_factor = ecma_number_add (next_factorial_factor, ECMA_NUMBER_ONE);
next_addendum = ecma_number_divide (next_addendum, next_factorial_factor);
diff = ecma_number_abs (ecma_number_substract (sum, next_sum));
sum = next_sum;
}
*num_p = sum;
}
ret_value = ecma_make_normal_completion_value (ecma_make_number_value (num_p));
ECMA_FINALIZE (arg_num_value);
return ret_value;
} /* ecma_builtin_math_object_cos */
/**
@@ -834,10 +890,66 @@ ecma_builtin_math_object_round (ecma_value_t this_arg __unused, /**< 'this' argu
* Returned value must be freed with ecma_free_completion_value.
*/
static ecma_completion_value_t
ecma_builtin_math_object_sin (ecma_value_t this_arg, /**< 'this' argument */
ecma_builtin_math_object_sin (ecma_value_t this_arg __unused, /**< 'this' argument */
ecma_value_t arg) /**< routine's argument */
{
ECMA_BUILTIN_CP_UNIMPLEMENTED (this_arg, arg);
ecma_completion_value_t ret_value;
ECMA_TRY_CATCH (arg_num_value,
ecma_op_to_number (arg),
ret_value);
ecma_number_t *num_p = ecma_alloc_number ();
const ecma_number_t arg_num = *ecma_get_number_from_completion_value (arg_num_value);
if (ecma_number_is_nan (arg_num)
|| ecma_number_is_infinity (arg_num))
{
*num_p = ecma_number_make_nan ();
}
else if (ecma_number_is_zero (arg_num))
{
*num_p = arg_num;
}
else
{
/* Taylor series of sin (x) around x = 0 is x - x^3/3! + x^5/5! - x^7/7! + ... */
ecma_number_t x = ecma_op_number_remainder (arg_num, 2 * ECMA_NUMBER_PI);
ecma_number_t neg_sqr_x = ecma_number_negate (ecma_number_multiply (x, x));
ecma_number_t sum = ECMA_NUMBER_ZERO;
ecma_number_t next_addendum = ecma_number_divide (x, ECMA_NUMBER_ONE);
ecma_number_t next_factorial_factor = ECMA_NUMBER_ONE;
ecma_number_t diff = ecma_number_make_infinity (false);
while ((ecma_number_is_zero (sum) && !ecma_number_is_zero (diff))
|| (!ecma_number_is_zero (sum)
&& ecma_number_abs (ecma_number_divide (diff, sum)) > ecma_number_relative_eps))
{
ecma_number_t next_sum = ecma_number_add (sum, next_addendum);
next_addendum = ecma_number_multiply (next_addendum, neg_sqr_x);
next_factorial_factor = ecma_number_add (next_factorial_factor, ECMA_NUMBER_ONE);
next_addendum = ecma_number_divide (next_addendum, next_factorial_factor);
next_factorial_factor = ecma_number_add (next_factorial_factor, ECMA_NUMBER_ONE);
next_addendum = ecma_number_divide (next_addendum, next_factorial_factor);
diff = ecma_number_abs (ecma_number_substract (sum, next_sum));
sum = next_sum;
}
*num_p = sum;
}
ret_value = ecma_make_normal_completion_value (ecma_make_number_value (num_p));
ECMA_FINALIZE (arg_num_value);
return ret_value;
} /* ecma_builtin_math_object_sin */
/**