S15.16 Fixed Point Numbers¶
32-bit, or more specifically S15.16 (15 bits before the decimal point, 16 bits after the decimal point, one bit for the sign, two’s complement) fixed-point numbers are optionally supported by zeptoforth. They are not in any builds, but are available to be loaded by the user, both into RAM and into flash.
fixed32¶
The fixed32 module contains the following words:
f32*¶
( x y – z )
Multiply two S15.16 fixed-point numbers
f32/¶
( x y – z )
Divide an S15.16 fixed-point number by another
f32>s¶
( x – y )
Convert an S15.16 fixed-point number to a 16-bit integer
s>f32¶
( x – y )
Convert a 16-bit integer to an S15.16 fixed-point number
f64>f32¶
( D: x – y )
Convert an S31.32 fixed-point number to an S15.16 fixed-point number
f32>f64¶
( x – D: y )
Convert an S15.16 fixed-point number to an S31.32 fixed-point number
f32mod¶
( x y – z )
Calculate the modulus of two S15.16 fixed-point numbers
f32ceil¶
( f – n )
Get the ceiling of an S15.16 fixed-point number as a single-cell number.
f32floor¶
( f – n )
Get the floor of an S15.16 fixed-point number as a single-cell number.
f32round-half-up¶
( f – n )
Round an S15.16 fixed-point number up to the nearest integer with half rounding up.
f32round-half-down¶
( f – n )
Round an S15.16 fixed-point number down to the nearest integer with half rounding down.
f32round-half-zero¶
( f – n )
Round an S15.16 fixed-point number to the nearest integer with half rounding towards zero.
f32round-half-away-zero¶
( f – n )
Round an S15.16 fixed-point number to the nearest integer with half rounding away from zero.
f32round-half-even¶
( f – n )
Round an S15.16 fixed-point number to the nearest integer with half rounding towards even.
f32round-half-odd¶
( f – n )
Round an S15.16 fixed-point number to the nearest integer with half rounding towards even.
f32round-zero¶
( f – n )
Round an S15.16 fixed-point number towards zero.
f32round-away-zero¶
( f – n )
Round an S15.16 fixed-point number away from zero.
f32pi¶
( – pi )
Pi as a S15.16 fixed-point number
f32sqrt¶
( x – y )
Get the square root of an S15.16 fixed-point number
f32i**¶
( f32 exponent – f32’ )
Exponentiate an S15.16 fixed-point number by an integer
f32expm1¶
( f32 – f32’ )
Get the (e^x)-1 of an S15.16 fixed-point number
f32exp¶
( f32 – f32’ )
Get the e^x of an S15.16 fixed-point number
f32lnp1¶
( f32 – f32’ )
Get the ln(x+1) of an S15.16 fixed-point number
f32ln¶
( f32 – f32’ )
Get the ln(x) of an S15.16 fixed-point number
f32sin¶
( f32 – f32’ )
Get the sine of an S15.16 fixed-point number
f32cos¶
( f32 – f32’ )
Get the cosine of an S15.16 fixed-point number
f32tan¶
( f32 – f32’ )
Get the tangent of an S15.16 fixed-point number
f32atan¶
( f32 – f32’ )
Get the arctangent of an S15.16 fixed-point number
f32atan2¶
( f32x f32y – f32angle )
Get the angle of an x and an y S15.16 fixed-point numbers
f32asin¶
( f32 – f32’ )
Get the arcsine of an S15.16 fixed-point number
f32acos¶
( f32 – f32’ )
Get the arccosine of an S15.16 fixed-point number
f32**¶
( f32b f32x – f32b^f32x )
Exponentiate two S15.16 fixed-point numbers
f32sinh¶
( f32 – f32’ )
Get the hyperbolic sine of an S15.16 fixed-point number
f32cosh¶
( f32 – f32’ )
Get the hyperbolic cosine of an S15.16 fixed-point number
f32tanh¶
( f32 – f32’ )
Get the hyperbolic tangent of an S15.16 fixed-point number
f32asinh¶
( f32 – f32’ )
Get the hyperbolic arcsine of an S15.16 fixed-point number
f32acosh¶
( f32 – f32’ )
Get the hyperbolic arccosine of an S15.16 fixed-point number
f32atanh¶
( f32 – f32’ )
Get the hyperbolic arctangent of an S15.16 fixed-point number
parse-f32¶
( c-addr bytes – f32 success? )
Parse a 32-bit fixed-point number
format-f32¶
( c-addr f32 – c-addr bytes )
Format an S15.16 number
format-f32-truncate¶
( c-addr f32 places – c-addr bytes )
Format a S15,16 number truncated to places to the right of the decimal point
(f32.)¶
( f32 – )
Type an s15.16 fixed-point number without a following space
(f32.n)¶
( f32 places – )
Type a s15.16 fixed-point number truncated to places to the right of the decimal point without a following space
f32.¶
( f32 – )
Type an s15.16 fixed-point number with a following space
f32.n¶
( f32 places – )
Type a s15.16 fixed-point number truncated to places to the right of the decimal point with a following space