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ftoa.s
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/**************************************************************************
Copyright Jacques Deschênes 2021,2022
This file is part of beyond-Jupiter
beyond-Jupiter is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
beyond-Jupiter is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with beyond-Jupiter. If not, see <http://www.gnu.org/licenses/>.
***************************************************************************/
/*******************************************************
words to format float32
adapted to forth from c code
ref: https://searchcode.com/codesearch/view/14753060/
********************************************************/
// used to round mantissa
rounding:
.word 0x3F000000 // 0.5e0f
.word 0x3D4CCCCD // 0.5e-1f
.word 0x3BA3D70A // 0.5e-2f
.word 0x3A03126F // 0.5e-3f
.word 0x3851B717 // 0.5e-4f
.word 0x36A7C5AC // 0.5e-5f
.word 0x350637BD // 0.5e-6f
.word 0x3356BF95 // 0.5e-7f
.word 0x31ABCC77 // 0.5e-8f
/****************************************
// round ( f n -- f )
// round float fraction to nth decimal
// input:
// f float to round
// n decimal to be rounded [1..7]
// output:
// f rounded float
***************************************/
_HEADER ROUND,5,"ROUND"
_NEST
_DOLIT 1
_ADR MAX
_DOLIT 8
_ADR MIN
_DOLIT 2
_ADR LSHIFT
_DOLIT rounding
_ADR PLUS
_ADR AT
_ADR FPLUS
_UNNEST
/*****************************
c!+ ( c b -- b++ )
store character in buffer
increment pointer
*****************************/
_HEADER CSTOP,3,"C!+"
ldr T0,[DSP],#4
strb T0,[TOS]
add TOS,#1
_NEXT
/********************************
convert integer part to ascii
in buffer b
i>a ( i b -- b+ u )
*******************************/
// _HEADER ITOA,3,"I>A"
ITOA:
_NEST
_ADR TOR // >R ( i r: b )
_ADR STOD // ( dbl r: b )
_ADR DUPP // ( dbl i r: b )
_ADR TOR // ( dbl r: b sign )
_ADR DABS
_ADR BDIGS
_ADR DIGS
_ADR RFROM
_ADR SIGN
_ADR EDIGS // ( -- p u )
_ADR DUPP
_ADR NROT // -rot ( -- u p u )
_ADR RAT // r@ ( -- u p u b )
_ADR SWAP // ( -- u p b u )
_ADR CMOVE // ( -- u )
_ADR DUPP // ( -- u u )
_ADR RFROM // ( -- u u b )
_ADR PLUS // ( -- u b+ )
_ADR SWAP // ( -- b+ u )
_UNNEST
/*************************
SCALEUP ( f1 n -- f2 m )
multiply f1 until
f1 >= 10^n
input:
f1 float to scale
n log10 limit
output:
f2 scaled up float
m log10 exponent scale factor
*************************/
_HEADER SCALEUP,7,"SCALEUP"
_NEST
_ADR PWR10
_ADR TOR // f2 r: f1
_DOLIT 0 // m
_ADR SWAP // m f2
1: _ADR DUPP
_ADR RAT
_ADR FLESS
_QBRAN 2f
_DOLIT ten
_ADR FSTAR
// decrement m
_ADR SWAP
_ADR ONEM
_ADR SWAP
_BRAN 1b
2: _ADR RFROM
_ADR DROP
_ADR SWAP
_UNNEST
/******************************
SCALEDOWN ( f1 n -- f2 m )
divide by 10.0 until
f < 10^n
input:
f1 float to scale
n log10 limit
output:
f2 scaled down float
m log10 reduction factor
******************************/
_HEADER SCALEDOWN,9,"SCALEDOWN"
_NEST
_ADR PWR10
_ADR TOR
_DOLIT 0
_ADR SWAP // 0 f1 r: pwr10
1: _ADR RAT
_ADR OVER
_ADR FGREAT
_TBRAN 2f
_DOLIT ten
_ADR FSLH
// increment m
_ADR SWAP
_ADR ONEP
_ADR SWAP
_BRAN 1b
2: _ADR RFROM
_ADR DROP
_ADR SWAP
_UNNEST
/***************************
convert exponant of float
EPART ( m b -- b+ )
input:
m decimal exponent
b string buffer
output:
b+ adjusted pointer
****************************/
// _HEADER EPART,5,"EPART"
EPART:
_NEST
_ADR SWAP
_ADR QDUP
_QBRAN 2f
_ADR SWAP
_DOLIT 'E' // [char] E ( -- m b c )
_ADR SWAP
_ADR CSTOP // c!+ ( -- m b )
_ADR ITOA // ( i b -- b u )
_ADR DROP // ( -- b+ )
2: _UNNEST
/***************************
conver fraction part of float
FPART ( d f b -- b+ )
input:
d digit left to display
f float to convert
b string* buffer
output:
b+ updated string*
****************************/
// _HEADER FPART,5,"FPART"
FPART:
_NEST
// check if d>0 and f<>0
_ADR OVER
_ADR ZNEQU // -- d f b flag
_DOLIT 3
_ADR PICK
_ADR ZGREAT
_ADR ANDD
_TBRAN 1f
0: _ADR TOR
_ADR DROP
_BRAN 2f // no fraction
1: // convert fraction
_DOLIT '.'
_ADR SWAP
_ADR CSTOP
_ADR TOR // >r ( d f r: b )
1: _ADR QDUP
_QBRAN 2f
_ADR SWAP
_ADR QDUP
_QBRAN 2f
_ADR ONEM // 1- ( -- f d- r: b )
_ADR SWAP // swap ( -- d f r: b )
_DOLIT ten // ( d f 10.0 )
_ADR FSTAR // f*
_ADR DUPP
_ADR TRUNC // d f i
_ADR DUPP // d f i i
_DOLIT '0'
_ADR PLUS
_ADR RFROM // R> ( d f c b )
_ADR CSTOP // ( d f i b+ )
_ADR TOR // >r ( -- d f i r: b )
_ADR STOF // s>f ( -- d f f r: b )
_ADR FSUBB
_BRAN 1b
2: _ADR DROP
_ADR RFROM
_UNNEST
/***************************
convert integer part of float
IPART ( d f b -- m d f b )
input:
d digit# to display
f float to convert
b string* buffer
output:
m decimal exponent
d digit# remaining to display
f float fraction
b updated str*
****************************/
// _HEADER IPART,5,"IPART"
IPART:
_NEST
_ADR TOR // ( -- d f r: b )
_ADR DUPP
// f<1.0 ?
_DOLIT fone
_ADR FLESS
_QBRAN 1f
// if f<1.0 integer part is '0'
// scale up fraction so first non zero digit is rigth of '.'
_DOLIT -1
_ADR SCALEUP // ( d f -1 -- d f m )
_ADR NROT
_ADR OVER
_ADR ROUND
_ADR DUPP
_DOLIT fone
_ADR FLESS
_QBRAN 2f
// first digit '0'
_DOLIT '0'
_ADR RFROM
_ADR CSTOP
_ADR TOR
// decrement d
_ADR SWAP
_ADR ONEM
_ADR SWAP
_ADR RFROM // r> ( -- m d f b )
_UNNEST
1: // f1>=1.0 integer part digits are converted
// scale down until mantissa digits count == d
_ADR OVER
_ADR SCALEDOWN // ( -- d f m r: b)
_ADR NROT // m d f r: b
2: _ADR DUPP // ( -- m d f f r: b )
_ADR TRUNC // ( -- m d f i r: b )
_ADR DUPP // ( -- m d f i i r: b )
_ADR TOR // ( -- m d f i r: b i )
_ADR STOF // ( -- m d f f )
_ADR FSUBB // ( -- m d f r: b i )
_ADR RFROM // ( -- m d f i r: b )
_ADR RFROM // ( -- m d f i b )
_ADR ITOA // -- m d f b u )
_ADR TOR // >r ( -- m d f b r: u )
_ADR ROT
_ADR RFROM // r> ( -- m f b d u )
_ADR SUBB // ( -- m f b d- ) digits left to convert
_ADR NROT // ( -- m d f b )
_UNNEST
/***************************************
\ f>a ( d f b -- b u )
\ convert float to string
\ input:
\ b output buffer
\ d n# of digits [1..7] to convert
\ f float to convert
\ output:
\ b output buffer
\ u length of string
****************************************/
_HEADER FTOA,3,"F>A" // (d f b -- b u )
_NEST
_ADR OVER
_ADR FEXP
_DOLIT 128
_ADR EQUAL
_QBRAN 1f
_BRAN nan
1: _ADR DUPP // dup ( -- d f b b )
_ADR TOR // >r ( d f b r: b )
// store space first buffer char.
_ADR BLANK // bl ( -- d f b c r: b )
_ADR SWAP
_ADR CSTOP // c!+ ( -- d f b+ r: b )
_ADR OVER
_QBRAN zdz // 0.0
// check float sign
_ADR OVER // over ( -- d f b f r: b )
_ADR FSIGN // fsign ( -- d f b 0|-1 r: b )
_QBRAN 1f // 0branch 1f positive number
// negative number add '-' to buffer
_ADR SWAP
_ADR FABS
_ADR SWAP
_DOLIT '-' // [char] - ( -- d f b+ c r: b )
_ADR SWAP
_ADR CSTOP // c!+ ( -- d f b+ r: b )
1: _ADR IPART // ( d f b+ -- m d- f- b+ r: b ) integer part
_ADR FPART // ( m d- f- b+ -- m b+ r: b ) fraction part
_ADR EPART // ( m b+ -- b+ r: b ) exponent part
_ADR RAT
_ADR SUBB
_ADR RFROM
_ADR SWAP
_UNNEST
zdz: // 0.0
_ADR TOR
_ADR DDROP
_ADR RFROM
_DOLIT '0'
_ADR SWAP
_ADR CSTOP
_DOLIT '.'
_ADR SWAP
_ADR CSTOP
_DOLIT '0'
_ADR SWAP
_ADR CSTOP
_ADR DROP
_ADR RFROM
_DOLIT 4
_UNNEST
nan: // not a number or infinity
_ADR TOR // ( d f r: b )
_ADR SWAP // f d
_ADR DROP // f
_ADR BLANK // f c
_ADR RAT // f c b
_ADR CSTOP // f b+
_ADR SWAP // b+ f
_ADR FMANT // b+ mant
_DOLIT 0x7FFFFF
_ADR ANDD
_QBRAN infinity
_DOLIT 'N' // b+ c
_ADR SWAP // c b+
_ADR CSTOP // b+
_DOLIT 'a' // b+ c
_ADR SWAP // c b+
_ADR CSTOP // b+
_DOLIT 'N' // b+ c
_ADR SWAP // c b+
_ADR CSTOP // b+
_BRAN 1f
infinity:
_DOLIT 'I'
_ADR SWAP
_ADR CSTOP
_DOLIT 'N'
_ADR SWAP
_ADR CSTOP
_DOLIT 'F'
_ADR SWAP
_ADR CSTOP
1:
_ADR DROP
_ADR RFROM
_DOLIT 4
_UNNEST
/***********************************
F. ( f -- )
print float32 number
f -> float to print
***********************************/
_HEADER FDOT,2,"F."
_NEST
_DOLIT 7 // maximum digit to print
_ADR SWAP // ( -- d f )
// allocate convertion buffer
_ADR HERE
_ADR TOR
_DOLIT 16
_ADR ALLOT
// fill it with zero's
_ADR RAT
_DOLIT 16
_DOLIT 0
_ADR FILL
_ADR RFROM // ( d f b )
_ADR FTOA
_ADR TYPEE
// free buffer
_DOLIT -16
_ADR ALLOT
_UNNEST