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Eina » Data Types

Floating point numbers data type management. More...

Macros

#define EINA_F32P32_PI   0x00000003243f6a89
 Yields the 32-bit PI constant.
 
#define eina_fp32p32_llabs(a)   ((a < 0) ? -(a) : (a))
 Gets the absolute value of an Eina_F32p32 floating point number. More...
 
#define EINA_F16P16_ONE   (1 << 16)
 Yields the maximum 16-bit unsigned integer size (= 65536)
 
#define EINA_F16P16_HALF   (1 << 15)
 Yields the maximum 16-bit signed integer size (= 32768)
 

Typedefs

typedef int64_t Eina_F32p32
 Type for floating point number where the size of the integer part is 32-bit and the size of the decimal part is 32-bit.
 
typedef int32_t Eina_F16p16
 Type for floating point number where the size of the integer part is 16-bit and the size of the decimal part is 16-bit.
 
typedef int32_t Eina_F8p24
 Type for floating point number where the size of the integer part is 8-bit and the size of the decimal part is 24bits.
 

Functions

static Eina_F32p32 eina_f32p32_int_from (int32_t v)
 Creates a new Eina_F32p32 floating point number from standard 32-bit integer. More...
 
static int32_t eina_f32p32_int_to (Eina_F32p32 v)
 Creates a new standard 32-bit integer from Eina_F32p32 floating point number. More...
 
static Eina_F32p32 eina_f32p32_double_from (double v)
 Creates a new Eina_F32p32 floating point number from standard double. More...
 
static double eina_f32p32_double_to (Eina_F32p32 v)
 Creates a new standard double from Eina_F32p32 floating point number. More...
 
static Eina_F32p32 eina_f32p32_add (Eina_F32p32 a, Eina_F32p32 b)
 Calculates the sum of two Eina_F32p32 floating point numbers. More...
 
static Eina_F32p32 eina_f32p32_sub (Eina_F32p32 a, Eina_F32p32 b)
 Calculates the subtraction of two Eina_F32p32 floating point numbers. More...
 
static Eina_F32p32 eina_f32p32_mul (Eina_F32p32 a, Eina_F32p32 b)
 Calculates the multiplication of two Eina_F32p32 floating point numbers. More...
 
static Eina_F32p32 eina_f32p32_scale (Eina_F32p32 a, int b)
 Calculates the scale multiplication of one Eina_F32p32 floating point number with an integer. More...
 
static Eina_F32p32 eina_f32p32_div (Eina_F32p32 a, Eina_F32p32 b)
 Calculates the division of two Eina_F32p32 floating point numbers. More...
 
static Eina_F32p32 eina_f32p32_sqrt (Eina_F32p32 a)
 Calculates the square root of an Eina_F32p32 floating point number. More...
 
static unsigned int eina_f32p32_fracc_get (Eina_F32p32 v)
 Gets the absolute value of the integer part of and Eina_F32p32 floating point number. More...
 
EINA_API Eina_F32p32 eina_f32p32_cos (Eina_F32p32 a)
 Calculates the cosine of a floating point number. More...
 
EINA_API Eina_F32p32 eina_f32p32_sin (Eina_F32p32 a)
 Calculates the sine of a floating point number. More...
 
static Eina_F16p16 eina_f16p16_int_from (int32_t v)
 Creates a new Eina_F16p316 floating point number from standard 32-bit integer. More...
 
static int32_t eina_f16p16_int_to (Eina_F16p16 v)
 Creates a new standard 32-bit integer from Eina_F16p16 floating point number. More...
 
static Eina_F16p16 eina_f16p16_double_from (double v)
 Creates a new Eina_F16p16 floating point number from standard double. More...
 
static double eina_f16p16_double_to (Eina_F16p16 v)
 Creates a new standard double from Eina_F16p16 floating point number. More...
 
static Eina_F16p16 eina_f16p16_float_from (float v)
 Creates a new Eina_F16p16 floating point number from standard float. More...
 
static float eina_f16p16_float_to (Eina_F16p16 v)
 Creates a new standard float from Eina_F16p16 floating point number. More...
 
static Eina_F16p16 eina_f16p16_add (Eina_F16p16 a, Eina_F16p16 b)
 Calculates the sum of two Eina_F16p16 floating point numbers. More...
 
static Eina_F16p16 eina_f16p16_sub (Eina_F16p16 a, Eina_F16p16 b)
 Calculates the subtraction of two Eina_F16p16 floating point numbers. More...
 
static Eina_F16p16 eina_f16p16_mul (Eina_F16p16 a, Eina_F16p16 b)
 Calculates the multiplication of two Eina_F16p16 floating point numbers. More...
 
static Eina_F16p16 eina_f16p16_scale (Eina_F16p16 a, int b)
 Calculates the scale multiplication of one Eina_F16p16 floating point number with an integer. More...
 
static Eina_F16p16 eina_f16p16_div (Eina_F16p16 a, Eina_F16p16 b)
 Calculates the division of two Eina_F16p16 floating point numbers. More...
 
static Eina_F16p16 eina_f16p16_sqrt (Eina_F16p16 a)
 Calculates the square root of an Eina_F16p16 floating point number. More...
 
static unsigned int eina_f16p16_fracc_get (Eina_F16p16 v)
 Gets the absolute value of the integer part of and Eina_F16p16 floating point number. More...
 
static Eina_F8p24 eina_f8p24_int_from (int32_t v)
 Creates a new Eina_F16p316 floating point number from standard 32-bit integer. More...
 
static int32_t eina_f8p24_int_to (Eina_F8p24 v)
 Creates a new standard 32-bit integer from Eina_F8p24 floating point number. More...
 
static Eina_F8p24 eina_f8p24_float_from (float v)
 Creates a new Eina_F8p24 floating point number from standard float. More...
 
static float eina_f8p24_float_to (Eina_F8p24 v)
 Create a new standard float from Eina_F8p24 floating point number. More...
 
static Eina_F8p24 eina_f8p24_add (Eina_F8p24 a, Eina_F8p24 b)
 Calculates the sum of two Eina_F8p24 floating point numbers. More...
 
static Eina_F8p24 eina_f8p24_sub (Eina_F8p24 a, Eina_F8p24 b)
 Calculates the subtraction of two Eina_F8p24 floating point numbers. More...
 
static Eina_F8p24 eina_f8p24_mul (Eina_F8p24 a, Eina_F8p24 b)
 Calculates the multiplication of two Eina_F8p24 floating point numbers. More...
 
static Eina_F8p24 eina_f8p24_scale (Eina_F8p24 a, int b)
 Calculates the scale multiplication of one Eina_F8p24 floating point number with an integer. More...
 
static Eina_F8p24 eina_f8p24_div (Eina_F8p24 a, Eina_F8p24 b)
 Calculates the division of two Eina_F8p24 floating point numbers. More...
 
static Eina_F8p24 eina_f8p24_sqrt (Eina_F8p24 a)
 Calculates the square root of an Eina_F8p24 floating point number. More...
 
static unsigned int eina_f8p24_fracc_get (Eina_F8p24 v)
 Gets the absolute value of the integer part of and Eina_F8p24 floating point number. More...
 
static Eina_F32p32 eina_f16p16_to_f32p32 (Eina_F16p16 a)
 Converts an Eina_F16p16 floating point number into Eina_F32p32 format. More...
 
static Eina_F32p32 eina_f8p24_to_f32p32 (Eina_F8p24 a)
 Converts an Eina_F8p24 floating point number into Eina_F32p32 format. More...
 
static Eina_F16p16 eina_f32p32_to_f16p16 (Eina_F32p32 a)
 Converts an Eina_F32p32 floating point number into Eina_F16p16 format. More...
 
static Eina_F16p16 eina_f8p24_to_f16p16 (Eina_F8p24 a)
 Converts an Eina_F8p24 floating point number into Eina_F16p16 format. More...
 
static Eina_F8p24 eina_f32p32_to_f8p24 (Eina_F32p32 a)
 Converts an Eina_F32p32 floating point number into Eina_F8p24 format. More...
 
static Eina_F8p24 eina_f16p16_to_f8p24 (Eina_F16p16 a)
 Converts an Eina_F16p16 floating point number into Eina_F8p16 format. More...
 

Detailed Description

Floating point numbers data type management.

Macro Definition Documentation

◆ eina_fp32p32_llabs

#define eina_fp32p32_llabs (   a)    ((a < 0) ? -(a) : (a))

Gets the absolute value of an Eina_F32p32 floating point number.

Parameters
[in]aThe floating point number
Returns
The absolute value for the number a
Warning
Has known issues on 64-bit architecture, prefer eina_f32p32_fracc_get() instead

Function Documentation

◆ eina_f32p32_int_from()

static Eina_F32p32 eina_f32p32_int_from ( int32_t  v)
inlinestatic

Creates a new Eina_F32p32 floating point number from standard 32-bit integer.

Parameters
[in]v32-bit integer value to convert
Returns
The value converted into Eina_F32p32 format

◆ eina_f32p32_int_to()

static int32_t eina_f32p32_int_to ( Eina_F32p32  v)
inlinestatic

Creates a new standard 32-bit integer from Eina_F32p32 floating point number.

Parameters
[in]vEina_F32p32 value to convert
Returns
The value converted into 32-bit integer

Referenced by eina_f32p32_cos().

◆ eina_f32p32_double_from()

static Eina_F32p32 eina_f32p32_double_from ( double  v)
inlinestatic

Creates a new Eina_F32p32 floating point number from standard double.

Parameters
[in]vDouble value to convert
Returns
The value converted into Eina_F32p32 format

Referenced by eina_quaternion_f16p16_slerp().

◆ eina_f32p32_double_to()

static double eina_f32p32_double_to ( Eina_F32p32  v)
inlinestatic

Creates a new standard double from Eina_F32p32 floating point number.

Parameters
[in]vEina_F32p32 value to convert
Returns
The value converted into double

◆ eina_f32p32_add()

static Eina_F32p32 eina_f32p32_add ( Eina_F32p32  a,
Eina_F32p32  b 
)
inlinestatic

Calculates the sum of two Eina_F32p32 floating point numbers.

Parameters
[in]aThe first number
[in]bThe second number
Returns
The sum result of the two numbers a + b

Referenced by eina_f32p32_cos().

◆ eina_f32p32_sub()

static Eina_F32p32 eina_f32p32_sub ( Eina_F32p32  a,
Eina_F32p32  b 
)
inlinestatic

Calculates the subtraction of two Eina_F32p32 floating point numbers.

Parameters
[in]aThe first number
[in]bThe subtracted number
Returns
The subtraction result of the two numbers a - b

Referenced by eina_f32p32_cos(), and eina_f32p32_sin().

◆ eina_f32p32_mul()

static Eina_F32p32 eina_f32p32_mul ( Eina_F32p32  a,
Eina_F32p32  b 
)
inlinestatic

Calculates the multiplication of two Eina_F32p32 floating point numbers.

Parameters
[in]aThe first number
[in]bThe second number
Returns
The multiplication result of the two numbers a * b

To prevent overflow during multiplication we need to reduce the precision of the fraction part Shift both values to only contain 16 bit of the fraction part (rounded). After multiplication we again have a value with a 32-bit fraction part.

Referenced by eina_f32p32_cos(), and eina_quaternion_f16p16_slerp().

◆ eina_f32p32_scale()

static Eina_F32p32 eina_f32p32_scale ( Eina_F32p32  a,
int  b 
)
inlinestatic

Calculates the scale multiplication of one Eina_F32p32 floating point number with an integer.

Parameters
[in]aThe Eina_F32p32 number
[in]bThe integer value
Returns
The multiplication result of the two numbers a * b

Referenced by eina_f32p32_cos().

◆ eina_f32p32_div()

static Eina_F32p32 eina_f32p32_div ( Eina_F32p32  a,
Eina_F32p32  b 
)
inlinestatic

Calculates the division of two Eina_F32p32 floating point numbers.

Parameters
[in]aThe numerator number
[in]bThe denominator number
Returns
The division result of the two numbers a / b

Referenced by eina_f32p32_cos(), and eina_quaternion_f16p16_slerp().

◆ eina_f32p32_sqrt()

static Eina_F32p32 eina_f32p32_sqrt ( Eina_F32p32  a)
inlinestatic

Calculates the square root of an Eina_F32p32 floating point number.

Parameters
[in]aThe number to calculate the square root from
Returns
The square root result for the number a

◆ eina_f32p32_fracc_get()

static unsigned int eina_f32p32_fracc_get ( Eina_F32p32  v)
inlinestatic

Gets the absolute value of the integer part of and Eina_F32p32 floating point number.

Parameters
[in]vThe floating point number
Returns
The positive integer part of the number v

Referenced by eina_f32p32_cos().

◆ eina_f32p32_cos()

EINA_API Eina_F32p32 eina_f32p32_cos ( Eina_F32p32  a)

Calculates the cosine of a floating point number.

Parameters
[in]aThe angle in radians to calculate the cosine from.
Returns
The cosine of the angle a

References eina_f32p32_add(), eina_f32p32_div(), eina_f32p32_fracc_get(), eina_f32p32_int_to(), eina_f32p32_mul(), EINA_F32P32_PI, eina_f32p32_scale(), eina_f32p32_sub(), and eina_fp32p32_llabs.

Referenced by eina_f32p32_sin().

◆ eina_f32p32_sin()

EINA_API Eina_F32p32 eina_f32p32_sin ( Eina_F32p32  a)

Calculates the sine of a floating point number.

Parameters
[in]aThe angle in radians to calculate the sine from.
Returns
The cosine of the angle a

References eina_f32p32_cos(), EINA_F32P32_PI, and eina_f32p32_sub().

Referenced by eina_quaternion_f16p16_slerp().

◆ eina_f16p16_int_from()

static Eina_F16p16 eina_f16p16_int_from ( int32_t  v)
inlinestatic

Creates a new Eina_F16p316 floating point number from standard 32-bit integer.

Parameters
[in]v32-bit integer value to convert
Returns
The value converted into Eina_F16p16 format

Referenced by eina_quaternion_f16p16_lerp(), eina_quaternion_f16p16_nlerp(), and eina_quaternion_f16p16_slerp().

◆ eina_f16p16_int_to()

static int32_t eina_f16p16_int_to ( Eina_F16p16  v)
inlinestatic

Creates a new standard 32-bit integer from Eina_F16p16 floating point number.

Parameters
[in]vEina_F16p16 value to convert
Returns
The value converted into 32-bit integer

Referenced by eina_quaternion_f16p16_rotation_matrix3_get().

◆ eina_f16p16_double_from()

static Eina_F16p16 eina_f16p16_double_from ( double  v)
inlinestatic

Creates a new Eina_F16p16 floating point number from standard double.

Parameters
[in]vDouble value to convert
Returns
The value converted into Eina_F16p16 format

Referenced by eina_matrix3_fixed_values_get().

◆ eina_f16p16_double_to()

static double eina_f16p16_double_to ( Eina_F16p16  v)
inlinestatic

Creates a new standard double from Eina_F16p16 floating point number.

Parameters
[in]vEina_F16p16 value to convert
Returns
The value converted into double

Referenced by eina_quaternion_f16p16_slerp().

◆ eina_f16p16_float_from()

static Eina_F16p16 eina_f16p16_float_from ( float  v)
inlinestatic

Creates a new Eina_F16p16 floating point number from standard float.

Parameters
[in]vFloat value to convert
Returns
The value converted into Eina_F16p16 format

Referenced by eina_quaternion_f16p16_slerp().

◆ eina_f16p16_float_to()

static float eina_f16p16_float_to ( Eina_F16p16  v)
inlinestatic

Creates a new standard float from Eina_F16p16 floating point number.

Parameters
[in]vEina_F16p16 value to convert
Returns
The value converted into float

◆ eina_f16p16_add()

static Eina_F16p16 eina_f16p16_add ( Eina_F16p16  a,
Eina_F16p16  b 
)
inlinestatic

Calculates the sum of two Eina_F16p16 floating point numbers.

Parameters
[in]aThe first number
[in]bThe second number
Returns
The sum result of the two numbers a + b

Referenced by eina_quaternion_f16p16_add(), eina_quaternion_f16p16_dot(), eina_quaternion_f16p16_lerp(), eina_quaternion_f16p16_mul(), eina_quaternion_f16p16_norm(), eina_quaternion_f16p16_rotate(), and eina_quaternion_f16p16_rotation_matrix3_get().

◆ eina_f16p16_sub()

static Eina_F16p16 eina_f16p16_sub ( Eina_F16p16  a,
Eina_F16p16  b 
)
inlinestatic

Calculates the subtraction of two Eina_F16p16 floating point numbers.

Parameters
[in]aThe first number
[in]bThe subtracted number
Returns
The subtraction result of the two numbers a - b

Referenced by eina_quaternion_f16p16_conjugate(), eina_quaternion_f16p16_lerp(), eina_quaternion_f16p16_mul(), eina_quaternion_f16p16_negative(), eina_quaternion_f16p16_nlerp(), eina_quaternion_f16p16_rotate(), eina_quaternion_f16p16_rotation_matrix3_get(), and eina_quaternion_f16p16_slerp().

◆ eina_f16p16_mul()

static Eina_F16p16 eina_f16p16_mul ( Eina_F16p16  a,
Eina_F16p16  b 
)
inlinestatic

Calculates the multiplication of two Eina_F16p16 floating point numbers.

Parameters
[in]aThe first number
[in]bThe second number
Returns
The multiplication result of the two numbers a * b

Referenced by eina_matrix3_f16p16_compose(), eina_quaternion_f16p16_dot(), eina_quaternion_f16p16_lerp(), eina_quaternion_f16p16_mul(), eina_quaternion_f16p16_norm(), eina_quaternion_f16p16_rotate(), and eina_quaternion_f16p16_rotation_matrix3_get().

◆ eina_f16p16_scale()

static Eina_F16p16 eina_f16p16_scale ( Eina_F16p16  a,
int  b 
)
inlinestatic

Calculates the scale multiplication of one Eina_F16p16 floating point number with an integer.

Parameters
[in]aThe Eina_F16p16 number
[in]bThe integer value
Returns
The multiplication result of the two numbers a * b

Referenced by eina_quaternion_f16p16_rotate(), eina_quaternion_f16p16_rotation_matrix3_get(), and eina_quaternion_f16p16_scale().

◆ eina_f16p16_div()

static Eina_F16p16 eina_f16p16_div ( Eina_F16p16  a,
Eina_F16p16  b 
)
inlinestatic

Calculates the division of two Eina_F16p16 floating point numbers.

Parameters
[in]aThe numerator number
[in]bThe denominator number
Returns
The division result of the two numbers a / b

◆ eina_f16p16_sqrt()

static Eina_F16p16 eina_f16p16_sqrt ( Eina_F16p16  a)
inlinestatic

Calculates the square root of an Eina_F16p16 floating point number.

Parameters
[in]aThe number to calculate the square root from
Returns
The square root result for the number a

Referenced by eina_quaternion_f16p16_norm().

◆ eina_f16p16_fracc_get()

static unsigned int eina_f16p16_fracc_get ( Eina_F16p16  v)
inlinestatic

Gets the absolute value of the integer part of and Eina_F16p16 floating point number.

Parameters
[in]vThe floating point number
Returns
The positive integer part of the number v

◆ eina_f8p24_int_from()

static Eina_F8p24 eina_f8p24_int_from ( int32_t  v)
inlinestatic

Creates a new Eina_F16p316 floating point number from standard 32-bit integer.

Parameters
[in]v32-bit integer value to convert
Returns
The value converted into Eina_F8p24 format

◆ eina_f8p24_int_to()

static int32_t eina_f8p24_int_to ( Eina_F8p24  v)
inlinestatic

Creates a new standard 32-bit integer from Eina_F8p24 floating point number.

Parameters
[in]vEina_F8p24 value to convert
Returns
The value converted into 32-bit integer

◆ eina_f8p24_float_from()

static Eina_F8p24 eina_f8p24_float_from ( float  v)
inlinestatic

Creates a new Eina_F8p24 floating point number from standard float.

Parameters
[in]vFloat value to convert
Returns
The value converted into Eina_F8p24 format

◆ eina_f8p24_float_to()

static float eina_f8p24_float_to ( Eina_F8p24  v)
inlinestatic

Create a new standard float from Eina_F8p24 floating point number.

Parameters
[in]vEina_F8p24 value to convert
Returns
The value converted into float

◆ eina_f8p24_add()

static Eina_F8p24 eina_f8p24_add ( Eina_F8p24  a,
Eina_F8p24  b 
)
inlinestatic

Calculates the sum of two Eina_F8p24 floating point numbers.

Parameters
[in]aThe first number
[in]bThe second number
Returns
The sum result of the two numbers a + b

◆ eina_f8p24_sub()

static Eina_F8p24 eina_f8p24_sub ( Eina_F8p24  a,
Eina_F8p24  b 
)
inlinestatic

Calculates the subtraction of two Eina_F8p24 floating point numbers.

Parameters
[in]aThe first number
[in]bThe subtracted number
Returns
The subtraction result of the two numbers a - b

◆ eina_f8p24_mul()

static Eina_F8p24 eina_f8p24_mul ( Eina_F8p24  a,
Eina_F8p24  b 
)
inlinestatic

Calculates the multiplication of two Eina_F8p24 floating point numbers.

Parameters
[in]aThe first number
[in]bThe second number
Returns
The multiplication result of the two numbers a * b

◆ eina_f8p24_scale()

static Eina_F8p24 eina_f8p24_scale ( Eina_F8p24  a,
int  b 
)
inlinestatic

Calculates the scale multiplication of one Eina_F8p24 floating point number with an integer.

Parameters
[in]aThe Eina_F16p16 number
[in]bThe integer value
Returns
The multiplication result of the two numbers a * b

◆ eina_f8p24_div()

static Eina_F8p24 eina_f8p24_div ( Eina_F8p24  a,
Eina_F8p24  b 
)
inlinestatic

Calculates the division of two Eina_F8p24 floating point numbers.

Parameters
[in]aThe numerator number
[in]bThe denominator number
Returns
The division result of the two numbers a / b

◆ eina_f8p24_sqrt()

static Eina_F8p24 eina_f8p24_sqrt ( Eina_F8p24  a)
inlinestatic

Calculates the square root of an Eina_F8p24 floating point number.

Parameters
[in]aThe number to calculate the square root from
Returns
The square root result for the number a

◆ eina_f8p24_fracc_get()

static unsigned int eina_f8p24_fracc_get ( Eina_F8p24  v)
inlinestatic

Gets the absolute value of the integer part of and Eina_F8p24 floating point number.

Parameters
[in]vThe floating point number
Returns
The positive integer part of the number v

◆ eina_f16p16_to_f32p32()

static Eina_F32p32 eina_f16p16_to_f32p32 ( Eina_F16p16  a)
inlinestatic

Converts an Eina_F16p16 floating point number into Eina_F32p32 format.

Parameters
[in]aThe Eina_F16p16 floating point number
Returns
The converted Eina_F32p32 floating point number

Referenced by eina_quaternion_f16p16_slerp().

◆ eina_f8p24_to_f32p32()

static Eina_F32p32 eina_f8p24_to_f32p32 ( Eina_F8p24  a)
inlinestatic

Converts an Eina_F8p24 floating point number into Eina_F32p32 format.

Parameters
[in]aThe Eina_F8p24 floating point number
Returns
The converted Eina_F32p32 floating point number

◆ eina_f32p32_to_f16p16()

static Eina_F16p16 eina_f32p32_to_f16p16 ( Eina_F32p32  a)
inlinestatic

Converts an Eina_F32p32 floating point number into Eina_F16p16 format.

Parameters
[in]aThe Eina_F32p32 floating point number
Returns
The converted Eina_F16p16 floating point number

Referenced by eina_quaternion_f16p16_slerp().

◆ eina_f8p24_to_f16p16()

static Eina_F16p16 eina_f8p24_to_f16p16 ( Eina_F8p24  a)
inlinestatic

Converts an Eina_F8p24 floating point number into Eina_F16p16 format.

Parameters
[in]aThe Eina_F8p24 floating point number
Returns
The converted Eina_F16p16 floating point number

◆ eina_f32p32_to_f8p24()

static Eina_F8p24 eina_f32p32_to_f8p24 ( Eina_F32p32  a)
inlinestatic

Converts an Eina_F32p32 floating point number into Eina_F8p24 format.

Parameters
[in]aThe Eina_F32p32 floating point number
Returns
The converted Eina_F8p16 floating point number

◆ eina_f16p16_to_f8p24()

static Eina_F8p24 eina_f16p16_to_f8p24 ( Eina_F16p16  a)
inlinestatic

Converts an Eina_F16p16 floating point number into Eina_F8p16 format.

Parameters
[in]aThe Eina_F16p16 floating point number
Returns
The converted Eina_F8p16 floating point number

EFL 1.26.3 Copyright ©2000-2022 enlightenment.org Generated @ Mon Sep 19 2022 05:11:48