Extended Mathematical Operations

Additional mathematical functions for language interpreters. More...

Functions
df_frac	df_pow (df_frac base, int64_t exponent)
	Raise fraction to integer power.
df_frac	df_floor (df_frac f)
	Floor function - greatest integer ≤ f.
df_frac	df_ceil (df_frac f)
	Ceiling function - smallest integer ≥ f.
df_frac	df_trunc (df_frac f)
	Truncate towards zero.
df_frac	df_round (df_frac f)
	Round to nearest integer.
int	df_sign (df_frac f)
	Get sign of fraction.
df_frac	df_min (df_frac a, df_frac b)
	Minimum of two fractions.
df_frac	df_max (df_frac a, df_frac b)
	Maximum of two fractions.
uint64_t	df_hash (df_frac f)
	Hash function for fractions.
bool	df_fits_int32 (df_frac f)
	Check if fraction fits in int32_t.
bool	df_fits_int64 (df_frac f)
	Check if fraction fits in int64_t.
bool	df_fits_double (df_frac f)
	Check if fraction fits in double without precision loss.
di_int	df_whole_part (df_frac f)
	Get integer (whole) part of fraction.
df_frac	df_fractional_part (df_frac f)
	Get fractional part of fraction.

Detailed Description

Additional mathematical functions for language interpreters.

Function Documentation

df_ceil()

df_frac df_ceil

(

df_frac

f

)

Ceiling function - smallest integer ≥ f.

Parameters

f	Input fraction

Returns

New df_frac representing ceil(f)

Since

1.1.0

Definition at line 1096 of file dynamic_fraction.h.

df_fits_double()

bool df_fits_double

(

df_frac

f

)

Check if fraction fits in double without precision loss.

Parameters

f	Input fraction

Returns

true if can be converted to double exactly

Since

1.1.0

Definition at line 1281 of file dynamic_fraction.h.

df_fits_int32()

bool df_fits_int32

(

df_frac

f

)

Check if fraction fits in int32_t.

Parameters

f	Input fraction

Returns

true if can be converted to int32_t without loss

Since

1.1.0

Definition at line 1263 of file dynamic_fraction.h.

df_fits_int64()

bool df_fits_int64

(

df_frac

f

)

Check if fraction fits in int64_t.

Parameters

f	Input fraction

Returns

true if can be converted to int64_t without loss

Since

1.1.0

Definition at line 1272 of file dynamic_fraction.h.

df_floor()

df_frac df_floor

(

df_frac

f

)

Floor function - greatest integer ≤ f.

Parameters

f	Input fraction

Returns

New df_frac representing floor(f)

Since

1.1.0

Definition at line 1078 of file dynamic_fraction.h.

df_fractional_part()

df_frac df_fractional_part

(

df_frac

f

)

Get fractional part of fraction.

Parameters

f	Input fraction

Returns

New df_frac with only fractional part (0 ≤ result < 1)

Since

1.1.0

Definition at line 1315 of file dynamic_fraction.h.

df_hash()

uint64_t df_hash

(

df_frac

f

)

Hash function for fractions.

Parameters

f	Input fraction

Returns

Hash value suitable for hash tables

Since

1.1.0

Definition at line 1236 of file dynamic_fraction.h.

df_max()

df_frac df_max	(	df_frac	a,
		df_frac	b
	)

Maximum of two fractions.

Parameters

a	First fraction
b	Second fraction

Returns

New df_frac with larger value

Since

1.1.0

Definition at line 1227 of file dynamic_fraction.h.

df_min()

df_frac df_min	(	df_frac	a,
		df_frac	b
	)

Minimum of two fractions.

Parameters

a	First fraction
b	Second fraction

Returns

New df_frac with smaller value

Since

1.1.0

Definition at line 1219 of file dynamic_fraction.h.

df_pow()

df_frac df_pow	(	df_frac	base,
		int64_t	exponent
	)

Raise fraction to integer power.

Parameters

base	Base fraction
exponent	Integer exponent

Returns

New df_frac with base^exponent

Since

1.1.0

Definition at line 1031 of file dynamic_fraction.h.

df_round()

df_frac df_round

(

df_frac

f

)

Round to nearest integer.

Parameters

f	Input fraction

Returns

New df_frac rounded to nearest integer

Since

1.1.0

Definition at line 1135 of file dynamic_fraction.h.

df_sign()

int df_sign

(

df_frac

f

)

Get sign of fraction.

Parameters

f	Input fraction

Returns

-1 if negative, 0 if zero, 1 if positive

Since

1.1.0

Definition at line 1210 of file dynamic_fraction.h.

df_trunc()

df_frac df_trunc

(

df_frac

f

)

Truncate towards zero.

Parameters

f	Input fraction

Returns

New df_frac with fractional part removed

Since

1.1.0

Definition at line 1118 of file dynamic_fraction.h.

df_whole_part()

di_int df_whole_part

(

df_frac

f

)

Get integer (whole) part of fraction.

Parameters

f	Input fraction

Returns

New di_int with whole part

Since

1.1.0

Definition at line 1296 of file dynamic_fraction.h.