Продолжение переименования типов и функций

This commit is contained in:
Andrey Pokidov 2025-01-14 19:25:04 +07:00
parent 605afabd94
commit 3b6efaafa9
25 changed files with 768 additions and 916 deletions

View file

@ -9,22 +9,22 @@
typedef struct
{
float x1, x2;
} fp32_vector2_t;
} vector2_fp32_t;
typedef struct
{
double x1, x2;
} fp64_vector2_t;
} vector2_fp64_t;
// =================== Reset ==================== //
static inline void fp32_vector2_reset(fp32_vector2_t* vector)
inline void vector2_reset_fp32(vector2_fp32_t* vector)
{
vector->x1 = 0.0f;
vector->x2 = 0.0f;
}
static inline void fp64_vector2_reset(fp64_vector2_t* vector)
inline void vector2_reset_fp64(vector2_fp64_t* vector)
{
vector->x1 = 0.0;
vector->x2 = 0.0;
@ -32,13 +32,13 @@ static inline void fp64_vector2_reset(fp64_vector2_t* vector)
// ==================== Set ===================== //
static inline void fp32_vector2_set_values(const float x1, const float x2, fp32_vector2_t* to)
inline void vector2_fp32_set_values(const float x1, const float x2, vector2_fp32_t* to)
{
to->x1 = x1;
to->x2 = x2;
}
static inline void fp64_vector2_set_values(const double x1, const double x2, fp64_vector2_t* to)
inline void vector2_fp64_set_values(const double x1, const double x2, vector2_fp64_t* to)
{
to->x1 = x1;
to->x2 = x2;
@ -46,13 +46,13 @@ static inline void fp64_vector2_set_values(const double x1, const double x2, fp6
// ==================== Copy ==================== //
static inline void fp32_vector2_copy(const fp32_vector2_t* from, fp32_vector2_t* to)
inline void vector2_copy_fp32(const vector2_fp32_t* from, vector2_fp32_t* to)
{
to->x1 = from->x1;
to->x2 = from->x2;
}
static inline void fp64_vector2_copy(const fp64_vector2_t* from, fp64_vector2_t* to)
inline void vector2_copy_fp64(const vector2_fp64_t* from, vector2_fp64_t* to)
{
to->x1 = from->x1;
to->x2 = from->x2;
@ -60,7 +60,7 @@ static inline void fp64_vector2_copy(const fp64_vector2_t* from, fp64_vector2_t*
// ==================== Swap ==================== //
static inline void fp32_vector2_swap(fp32_vector2_t* vector1, fp32_vector2_t* vector2)
inline void vector2_swap_fp32(vector2_fp32_t* vector1, vector2_fp32_t* vector2)
{
const float x1 = vector2->x1;
const float x2 = vector2->x2;
@ -72,7 +72,7 @@ static inline void fp32_vector2_swap(fp32_vector2_t* vector1, fp32_vector2_t* ve
vector1->x2 = x2;
}
static inline void fp64_vector2_swap(fp64_vector2_t* vector1, fp64_vector2_t* vector2)
inline void vector2_swap_fp64(vector2_fp64_t* vector1, vector2_fp64_t* vector2)
{
const double x1 = vector2->x1;
const double x2 = vector2->x2;
@ -86,13 +86,13 @@ static inline void fp64_vector2_swap(fp64_vector2_t* vector1, fp64_vector2_t* ve
// ============= Copy to twin type ============== //
static inline void fp32_vector2_set_from_fp64(const fp64_vector2_t* from, fp32_vector2_t* to)
inline void vector2_fp32_set_from_fp64(const vector2_fp64_t* from, vector2_fp32_t* to)
{
to->x1 = (float)from->x1;
to->x2 = (float)from->x2;
}
static inline void fp64_vector2_set_from_fp32(const fp32_vector2_t* from, fp64_vector2_t* to)
inline void vector2_fp64_set_from_fp32(const vector2_fp32_t* from, vector2_fp64_t* to)
{
to->x1 = from->x1;
to->x2 = from->x2;
@ -100,13 +100,13 @@ static inline void fp64_vector2_set_from_fp32(const fp32_vector2_t* from, fp64_v
// =================== Reverse ================== //
static inline void fp32_vector2_set_reverse(const fp32_vector2_t* from, fp32_vector2_t* to)
inline void vector2_fp32_set_reverse(const vector2_fp32_t* from, vector2_fp32_t* to)
{
to->x1 = -from->x1;
to->x2 = -from->x2;
}
static inline void fp64_vector2_set_reverse(const fp64_vector2_t* from, fp64_vector2_t* to)
inline void vector2_fp64_set_reverse(const vector2_fp64_t* from, vector2_fp64_t* to)
{
to->x1 = -from->x1;
to->x2 = -from->x2;
@ -114,13 +114,13 @@ static inline void fp64_vector2_set_reverse(const fp64_vector2_t* from, fp64_vec
// ============= Reverse twin type ============== //
static inline void fp32_vector2_set_reverse_fp64(const fp64_vector2_t* from, fp32_vector2_t* to)
inline void vector2_fp32_set_reverse_fp64(const vector2_fp64_t* from, vector2_fp32_t* to)
{
to->x1 = (float) -from->x1;
to->x2 = (float) -from->x2;
}
static inline void fp64_vector2_set_reverse_fp32(const fp32_vector2_t* from, fp64_vector2_t* to)
inline void vector2_fp64_set_reverse_fp32(const vector2_fp32_t* from, vector2_fp64_t* to)
{
to->x1 = -from->x1;
to->x2 = -from->x2;
@ -128,61 +128,61 @@ static inline void fp64_vector2_set_reverse_fp32(const fp32_vector2_t* from, fp6
// =================== Module =================== //
static inline float fp32_vector2_get_square_modulus(const fp32_vector2_t* vector)
inline float vector2_get_square_modulus_fp32(const vector2_fp32_t* vector)
{
return vector->x1 * vector->x1 + vector->x2 * vector->x2;
}
static inline double fp64_vector2_get_square_modulus(const fp64_vector2_t* vector)
inline double vector2_get_square_modulus_fp64(const vector2_fp64_t* vector)
{
return vector->x1 * vector->x1 + vector->x2 * vector->x2;
}
static inline float fp32_vector2_get_modulus(const fp32_vector2_t* vector)
inline float vector2_get_modulus_fp32(const vector2_fp32_t* vector)
{
return sqrtf(fp32_vector2_get_square_modulus(vector));
return sqrtf(vector2_get_square_modulus_fp32(vector));
}
static inline double fp64_vector2_get_modulus(const fp64_vector2_t* vector)
inline double vector2_get_modulus_fp64(const vector2_fp64_t* vector)
{
return sqrt(fp64_vector2_get_square_modulus(vector));
return sqrt(vector2_get_square_modulus_fp64(vector));
}
// ================= Comparison ================= //
static inline int fp32_vector2_is_zero(const fp32_vector2_t* vector)
inline int vector2_fp32_is_zero(const vector2_fp32_t* vector)
{
return fp32_vector2_get_square_modulus(vector) <= FP32_SQUARE_EPSYLON;
return vector2_get_square_modulus_fp32(vector) <= FP32_SQUARE_EPSYLON;
}
static inline int fp64_vector2_is_zero(const fp64_vector2_t* vector)
inline int vector2_fp64_is_zero(const vector2_fp64_t* vector)
{
return fp64_vector2_get_square_modulus(vector) <= FP64_SQUARE_EPSYLON;
return vector2_get_square_modulus_fp64(vector) <= FP64_SQUARE_EPSYLON;
}
static inline int fp32_vector2_is_unit(const fp32_vector2_t* vector)
inline int vector2_fp32_is_unit(const vector2_fp32_t* vector)
{
const float square_modulus = fp32_vector2_get_square_modulus(vector);
const float square_modulus = vector2_get_square_modulus_fp32(vector);
return 1.0f - FP32_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0f + FP32_TWO_EPSYLON;
}
static inline int fp64_vector2_is_unit(const fp64_vector2_t* vector)
inline int vector2_fp64_is_unit(const vector2_fp64_t* vector)
{
const double square_modulus = fp64_vector2_get_square_modulus(vector);
const double square_modulus = vector2_get_square_modulus_fp64(vector);
return 1.0f - FP64_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0f + FP64_TWO_EPSYLON;
}
// ==================== Add ===================== //
static inline void fp32_vector2_add(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2, fp32_vector2_t* sum)
inline void vector2_fp32_add(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2, vector2_fp32_t* sum)
{
sum->x1 = vector1->x1 + vector2->x1;
sum->x2 = vector1->x2 + vector2->x2;
}
static inline void fp64_vector2_add(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2, fp64_vector2_t* sum)
inline void vector2_fp64_add(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2, vector2_fp64_t* sum)
{
sum->x1 = vector1->x1 + vector2->x1;
sum->x2 = vector1->x2 + vector2->x2;
@ -190,13 +190,13 @@ static inline void fp64_vector2_add(const fp64_vector2_t* vector1, const fp64_ve
// ================ Subtraction ================= //
static inline void fp32_vector2_subtract(const fp32_vector2_t* minuend, const fp32_vector2_t* subtrahend, fp32_vector2_t* difference)
inline void vector2_fp32_subtract(const vector2_fp32_t* minuend, const vector2_fp32_t* subtrahend, vector2_fp32_t* difference)
{
difference->x1 = minuend->x1 - subtrahend->x1;
difference->x2 = minuend->x2 - subtrahend->x2;
}
static inline void fp64_vector2_subtract(const fp64_vector2_t* minuend, const fp64_vector2_t* subtrahend, fp64_vector2_t* difference)
inline void vector2_fp64_subtract(const vector2_fp64_t* minuend, const vector2_fp64_t* subtrahend, vector2_fp64_t* difference)
{
difference->x1 = minuend->x1 - subtrahend->x1;
difference->x2 = minuend->x2 - subtrahend->x2;
@ -204,13 +204,13 @@ static inline void fp64_vector2_subtract(const fp64_vector2_t* minuend, const fp
// =============== Multiplication =============== //
static inline void fp32_vector2_multiply(const fp32_vector2_t* multiplicand, const float multiplier, fp32_vector2_t* product)
inline void vector2_fp32_multiply(const vector2_fp32_t* multiplicand, const float multiplier, vector2_fp32_t* product)
{
product->x1 = multiplicand->x1 * multiplier;
product->x2 = multiplicand->x2 * multiplier;
}
static inline void fp64_vector2_multiply(const fp64_vector2_t* multiplicand, const double multiplier, fp64_vector2_t* product)
inline void vector2_fp64_multiply(const vector2_fp64_t* multiplicand, const double multiplier, vector2_fp64_t* product)
{
product->x1 = multiplicand->x1 * multiplier;
product->x2 = multiplicand->x2 * multiplier;
@ -218,25 +218,25 @@ static inline void fp64_vector2_multiply(const fp64_vector2_t* multiplicand, con
// ================== Division ================== //
static inline void fp32_vector2_divide(const fp32_vector2_t* dividend, const float divisor, fp32_vector2_t* quotient)
inline void vector2_fp32_divide(const vector2_fp32_t* dividend, const float divisor, vector2_fp32_t* quotient)
{
fp32_vector2_multiply(dividend, 1.0f / divisor, quotient);
vector2_fp32_multiply(dividend, 1.0f / divisor, quotient);
}
static inline void fp64_vector2_divide(const fp64_vector2_t* dividend, const double divisor, fp64_vector2_t* quotient)
inline void vector2_fp64_divide(const vector2_fp64_t* dividend, const double divisor, vector2_fp64_t* quotient)
{
fp64_vector2_multiply(dividend, 1.0 / divisor, quotient);
vector2_fp64_multiply(dividend, 1.0 / divisor, quotient);
}
// ================ Append scaled =============== //
static inline void fp32_vector2_append_scaled(fp32_vector2_t* basic_vector, const fp32_vector2_t* scalable_vector, const float scale)
inline void vector2_fp32_append_scaled(vector2_fp32_t* basic_vector, const vector2_fp32_t* scalable_vector, const float scale)
{
basic_vector->x1 += scalable_vector->x1 * scale;
basic_vector->x2 += scalable_vector->x2 * scale;
}
static inline void fp64_vector2_append_scaled(fp64_vector2_t* basic_vector, const fp64_vector2_t* scalable_vector, const double scale)
inline void vector2_fp64_append_scaled(vector2_fp64_t* basic_vector, const vector2_fp64_t* scalable_vector, const double scale)
{
basic_vector->x1 += scalable_vector->x1 * scale;
basic_vector->x2 += scalable_vector->x2 * scale;
@ -244,13 +244,13 @@ static inline void fp64_vector2_append_scaled(fp64_vector2_t* basic_vector, cons
// ================== Average2 ================== //
static inline void fp32_vector2_get_mean2(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2, fp32_vector2_t* result)
inline void vector2_fp32_get_mean2(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2, vector2_fp32_t* result)
{
result->x1 = (vector1->x1 + vector2->x1) * 0.5f;
result->x2 = (vector1->x2 + vector2->x2) * 0.5f;
}
static inline void fp64_vector2_get_mean2(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2, fp64_vector2_t* result)
inline void vector2_fp64_get_mean2(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2, vector2_fp64_t* result)
{
result->x1 = (vector1->x1 + vector2->x1) * 0.5;
result->x2 = (vector1->x2 + vector2->x2) * 0.5;
@ -258,13 +258,13 @@ static inline void fp64_vector2_get_mean2(const fp64_vector2_t* vector1, const f
// ================== Average3 ================== //
static inline void fp32_vector2_get_mean3(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2, const fp32_vector2_t* vector3, fp32_vector2_t* result)
inline void vector2_fp32_get_mean3(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2, const vector2_fp32_t* vector3, vector2_fp32_t* result)
{
result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * FP32_ONE_THIRD;
result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * FP32_ONE_THIRD;
}
static inline void fp64_vector2_get_mean3(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2, const fp64_vector2_t* vector3, fp64_vector2_t* result)
inline void vector2_fp64_get_mean3(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2, const vector2_fp64_t* vector3, vector2_fp64_t* result)
{
result->x1 = (vector1->x1 + vector2->x1 + vector3->x1) * FP64_ONE_THIRD;
result->x2 = (vector1->x2 + vector2->x2 + vector3->x2) * FP64_ONE_THIRD;
@ -272,31 +272,31 @@ static inline void fp64_vector2_get_mean3(const fp64_vector2_t* vector1, const f
// =============== Scalar Product =============== //
static inline float fp32_vector2_scalar_product(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2)
inline float vector2_fp32_scalar_product(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2)
{
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2;
}
static inline double fp64_vector2_scalar_product(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2)
inline double vector2_fp64_scalar_product(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2)
{
return vector1->x1 * vector2->x1 + vector1->x2 * vector2->x2;
}
// =============== Cross Product ================ //
static inline float fp32_vector2_cross_product(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2)
inline float vector2_fp32_cross_product(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2)
{
return vector1->x1 * vector2->x2 - vector1->x2 * vector2->x1;
}
static inline double fp64_vector2_cross_product(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2)
inline double vector2_fp64_cross_product(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2)
{
return vector1->x1 * vector2->x2 - vector1->x2 * vector2->x1;
}
// ============== Complex Product =============== //
static inline void fp32_vector2_complex_product(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2, fp32_vector2_t* result)
inline void vector2_fp32_complex_product(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2, vector2_fp32_t* result)
{
const float x1 = vector1->x1 * vector2->x1 - vector1->x2 * vector2->x2;
const float x2 = vector1->x1 * vector2->x2 + vector1->x2 * vector2->x1;
@ -305,7 +305,7 @@ static inline void fp32_vector2_complex_product(const fp32_vector2_t* vector1, c
result->x2 = x2;
}
static inline void fp64_vector2_complex_product(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2, fp64_vector2_t* result)
inline void vector2_fp64_complex_product(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2, vector2_fp64_t* result)
{
const double x1 = vector1->x1 * vector2->x1 - vector1->x2 * vector2->x2;
const double x2 = vector1->x1 * vector2->x2 + vector1->x2 * vector2->x1;
@ -316,63 +316,63 @@ static inline void fp64_vector2_complex_product(const fp64_vector2_t* vector1, c
// =============== Normalization ================ //
static inline int fp32_vector2_normalize(fp32_vector2_t* vector)
inline int vector2_fp32_normalize(vector2_fp32_t* vector)
{
const float square_modulus = fp32_vector2_get_square_modulus(vector);
const float square_modulus = vector2_get_square_modulus_fp32(vector);
if (1.0f - FP32_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0f + FP32_TWO_EPSYLON) {
return 1;
}
if (square_modulus <= FP32_SQUARE_EPSYLON) {
fp32_vector2_reset(vector);
vector2_reset_fp32(vector);
return 0;
}
fp32_vector2_multiply(vector, sqrtf(1.0f / square_modulus), vector);
vector2_fp32_multiply(vector, sqrtf(1.0f / square_modulus), vector);
return 1;
}
static inline int fp64_vector2_normalize(fp64_vector2_t* vector)
inline int vector2_fp64_normalize(vector2_fp64_t* vector)
{
const double square_modulus = fp64_vector2_get_square_modulus(vector);
const double square_modulus = vector2_get_square_modulus_fp64(vector);
if (1.0 - FP64_TWO_EPSYLON <= square_modulus && square_modulus <= 1.0 + FP64_TWO_EPSYLON) {
return 1;
}
if (square_modulus <= FP64_SQUARE_EPSYLON) {
fp64_vector2_reset(vector);
vector2_reset_fp64(vector);
return 0;
}
fp64_vector2_multiply(vector, sqrt(1.0 / square_modulus), vector);
vector2_fp64_multiply(vector, sqrt(1.0 / square_modulus), vector);
return 1;
}
// =============== Get Normalized =============== //
static inline int fp32_vector2_set_normalized(const fp32_vector2_t* vector, fp32_vector2_t* result)
inline int vector2_fp32_set_normalized(const vector2_fp32_t* vector, vector2_fp32_t* result)
{
fp32_vector2_copy(vector, result);
return fp32_vector2_normalize(result);
vector2_copy_fp32(vector, result);
return vector2_fp32_normalize(result);
}
static inline int fp64_vector2_set_normalized(const fp64_vector2_t* vector, fp64_vector2_t* result)
inline int vector2_fp64_set_normalized(const vector2_fp64_t* vector, vector2_fp64_t* result)
{
fp64_vector2_copy(vector, result);
return fp64_vector2_normalize(result);
vector2_copy_fp64(vector, result);
return vector2_fp64_normalize(result);
}
// =================== Angle ==================== //
float fp32_vector2_get_angle(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2, const angle_unit_t unit);
float vector2_fp32_get_angle(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2, const angle_unit_t unit);
double fp64_vector2_get_angle(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2, const angle_unit_t unit);
double vector2_fp64_get_angle(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2, const angle_unit_t unit);
// =============== Square Distance ============== //
static inline float fp32_vector2_get_square_distance(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2)
inline float vector2_fp32_get_square_distance(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2)
{
const float dx1 = (vector1->x1 - vector2->x1);
const float dx2 = (vector1->x2 - vector2->x2);
@ -380,7 +380,7 @@ static inline float fp32_vector2_get_square_distance(const fp32_vector2_t* vecto
return dx1 * dx1 + dx2 * dx2;
}
static inline double fp64_vector2_get_square_distance(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2)
inline double vector2_fp64_get_square_distance(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2)
{
const double dx1 = (vector1->x1 - vector2->x1);
const double dx2 = (vector1->x2 - vector2->x2);
@ -390,23 +390,23 @@ static inline double fp64_vector2_get_square_distance(const fp64_vector2_t* vect
// ================== Distance ================== //
static inline float fp32_vector2_get_distance(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2)
inline float vector2_fp32_get_distance(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2)
{
return sqrtf(fp32_vector2_get_square_distance(vector1, vector2));
return sqrtf(vector2_fp32_get_square_distance(vector1, vector2));
}
static inline double fp64_vector2_get_distance(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2)
inline double vector2_fp64_get_distance(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2)
{
return sqrt(fp64_vector2_get_square_distance(vector1, vector2));
return sqrt(vector2_fp64_get_square_distance(vector1, vector2));
}
// ================== Are Equal ================= //
static inline int fp32_vector2_are_equal(const fp32_vector2_t* vector1, const fp32_vector2_t* vector2)
inline int vector2_fp32_are_equal(const vector2_fp32_t* vector1, const vector2_fp32_t* vector2)
{
const float square_modulus1 = fp32_vector2_get_square_modulus(vector1);
const float square_modulus2 = fp32_vector2_get_square_modulus(vector2);
const float square_modulus3 = fp32_vector2_get_square_distance(vector1, vector2);
const float square_modulus1 = vector2_get_square_modulus_fp32(vector1);
const float square_modulus2 = vector2_get_square_modulus_fp32(vector2);
const float square_modulus3 = vector2_fp32_get_square_distance(vector1, vector2);
// 2.0f means dimension amount
if (square_modulus1 < FP32_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 < FP32_EPSYLON_EFFECTIVENESS_LIMIT) {
@ -420,11 +420,11 @@ static inline int fp32_vector2_are_equal(const fp32_vector2_t* vector1, const fp
return square_modulus3 <= (2.0f * FP32_SQUARE_EPSYLON) * square_modulus1;
}
static inline int fp64_vector2_are_equal(const fp64_vector2_t* vector1, const fp64_vector2_t* vector2)
inline int vector2_fp64_are_equal(const vector2_fp64_t* vector1, const vector2_fp64_t* vector2)
{
const double square_modulus1 = fp64_vector2_get_square_modulus(vector1);
const double square_modulus2 = fp64_vector2_get_square_modulus(vector2);
const double square_modulus3 = fp64_vector2_get_square_distance(vector1, vector2);
const double square_modulus1 = vector2_get_square_modulus_fp64(vector1);
const double square_modulus2 = vector2_get_square_modulus_fp64(vector2);
const double square_modulus3 = vector2_fp64_get_square_distance(vector1, vector2);
// 2.0 means dimension amount
if (square_modulus1 < FP64_EPSYLON_EFFECTIVENESS_LIMIT || square_modulus2 < FP64_EPSYLON_EFFECTIVENESS_LIMIT) {