Difference between revisions of "Programming:CPC OS floating point routines"
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;--- RANDOM NUMBERS ----------------------------------------------------------- | ;--- RANDOM NUMBERS ----------------------------------------------------------- | ||
;### FLO_RANDOMIZE0 -> RND seek to 0 | ;### FLO_RANDOMIZE0 -> RND seek to 0 | ||
| − | ;### FLO_RANDOMIZE -> RND seek to (HL) | + | ;### FLO_RANDOMIZE -> RND seek to (HL) |
| − | ;### FLO_RND -> Gets next RND value | + | ;### FLO_RND -> Gets next RND value |
| − | ;### FLO_LAST_RND -> Gets current RND value | + | ;### FLO_LAST_RND -> Gets current RND value |
;--- OPERATIONS --------------------------------------------------------------- | ;--- OPERATIONS --------------------------------------------------------------- | ||
| − | ;### FLO_ADD -> Adds (HL) and (DE) and copies the result in (HL) | + | ;### FLO_ADD -> Adds (HL) and (DE) and copies the result in (HL) |
| − | ;### FLO_SUB -> Substracts (DE) from (HL) and copies the result in (HL) | + | ;### FLO_SUB -> Substracts (DE) from (HL) and copies the result in (HL) |
| − | ;### FLO_SUBX -> Substracts (HL) from (DE) and copies the result in (HL) | + | ;### FLO_SUBX -> Substracts (HL) from (DE) and copies the result in (HL) |
| − | ;### FLO_MULT -> Multiplicates (HL) with (DE) and copies the result in (HL) | + | ;### FLO_MULT -> Multiplicates (HL) with (DE) and copies the result in (HL) |
| − | ;### FLO_DIV -> Divides (HL) by (DE) and copies the result in (HL) | + | ;### FLO_DIV -> Divides (HL) by (DE) and copies the result in (HL) |
| − | ;### FLO_POT -> Raises (HL) to the power of (DE) and copies the result in (HL) | + | ;### FLO_POT -> Raises (HL) to the power of (DE) and copies the result in (HL) |
| − | ;### FLO_VGL -> Compares (HL) with (DE) | + | ;### FLO_VGL -> Compares (HL) with (DE) |
;--- FUNCTIONS ---------------------------------------------------------------- | ;--- FUNCTIONS ---------------------------------------------------------------- | ||
| − | ;### FLO_VZW -> Changes the sign of (HL) | + | ;### FLO_VZW -> Changes the sign of (HL) |
| − | ;### FLO_SQR -> Extracts the root of (HL) | + | ;### FLO_SQR -> Extracts the root of (HL) |
| − | ;### FLO_LOG_NAT -> Gets natural logarythm of (HL) | + | ;### FLO_LOG_NAT -> Gets natural logarythm of (HL) |
| − | ;### FLO_LOG_DEC -> Gets 10-logarythm of (HL) | + | ;### FLO_LOG_DEC -> Gets 10-logarythm of (HL) |
| − | ;### FLO_POT_E -> (HL)=E^(HL) | + | ;### FLO_POT_E -> (HL)=E^(HL) |
| − | ;### FLO_SIN -> Calculates the sinus of (HL) | + | ;### FLO_SIN -> Calculates the sinus of (HL) |
| − | ;### FLO_COS -> Calculates the cosinus of (HL) | + | ;### FLO_COS -> Calculates the cosinus of (HL) |
| − | ;### FLO_TAN -> Calculates the tangent of (HL) | + | ;### FLO_TAN -> Calculates the tangent of (HL) |
| − | ;### FLO_ARC_TAN -> Calculates the arcus tangent of (HL) | + | ;### FLO_ARC_TAN -> Calculates the arcus tangent of (HL) |
| − | ;### FLO_10A -> (HL)=(HL)*10^A | + | ;### FLO_10A -> (HL)=(HL)*10^A |
| − | ;### FLO_SGN -> Tests the sign of (HL) | + | ;### FLO_SGN -> Tests the sign of (HL) |
;--- MISCELLANEOUS ------------------------------------------------------------ | ;--- MISCELLANEOUS ------------------------------------------------------------ | ||
| − | ;### FLO_PI -> Gets PI | + | ;### FLO_PI -> Gets PI |
| − | ;### FLO_MOVE -> Copies Value in (DE) to (HL) | + | ;### FLO_MOVE -> Copies Value in (DE) to (HL) |
| − | ;### FLO_DEGRAD -> Set Deg/Rad | + | ;### FLO_DEGRAD -> Set Deg/Rad |
;--- CONVERSION --------------------------------------------------------------- | ;--- CONVERSION --------------------------------------------------------------- | ||
| − | ;### FLO_KONV_HLA_TO_FLO -> Converts 16bit Integer + sign to FLO | + | ;### FLO_KONV_HLA_TO_FLO -> Converts 16bit Integer + sign to FLO |
| − | ;### FLO_KONV_LW_TO_FLO -> Converts 32bit Integer + sign to FLO | + | ;### FLO_KONV_LW_TO_FLO -> Converts 32bit Integer + sign to FLO |
| − | ;### FLO_ROUND_FLO_TO_HLA -> Rounds FLO value and converts it to 16bit Integer + sign | + | ;### FLO_ROUND_FLO_TO_HLA -> Rounds FLO value and converts it to 16bit Integer + sign |
| − | ;### FLO_ROUND_FLO_TO_LW -> Rounds FLO value and converts it to 32bit Integer + sign | + | ;### FLO_ROUND_FLO_TO_LW -> Rounds FLO value and converts it to 32bit Integer + sign |
| − | ;### FLO_FIX_FLO_TO_LW -> Cuts FLO value and converts it to 32bit Integer + sign | + | ;### FLO_FIX_FLO_TO_LW -> Cuts FLO value and converts it to 32bit Integer + sign |
| − | ;### FLO_INT_FLO_TO_LW -> Cuts FLO value (and decrease if negative) and converts it to 32bit Integer + sign | + | ;### FLO_INT_FLO_TO_LW -> Cuts FLO value (and decrease if negative) and converts it to 32bit Integer + sign |
| − | ;### FLO_KONV_HLB_TO_INT -> Converts 16bit integer + sign into 16bit Integer | + | ;### FLO_KONV_HLB_TO_INT -> Converts 16bit integer + sign into 16bit Integer |
;--- DISPLAY-PREPARATION ------------------------------------------------------ | ;--- DISPLAY-PREPARATION ------------------------------------------------------ | ||
| − | ;### FLO_PREPARE -> Prepares the display of a FLO value | + | ;### FLO_PREPARE -> Prepares the display of a FLO value |
| Line 72: | Line 72: | ||
ex de,hl | ex de,hl | ||
.l2f88 | .l2f88 | ||
| − | ld hl, | + | ld hl,FLO_BUFFER_3 |
jr FLO_MOVE | jr FLO_MOVE | ||
.l2f8d | .l2f8d | ||
| − | ld de, | + | ld de,FLO_BUFFER_1 |
.l2f90 | .l2f90 | ||
ex de,hl | ex de,hl | ||
| Line 734: | Line 734: | ||
jr nc,l32fc | jr nc,l32fc | ||
push af | push af | ||
| − | ld de, | + | ld de,FLO_BUFFER_1 |
call FLO_MULT | call FLO_MULT | ||
jr nc,l331b | jr nc,l331b | ||
| Line 919: | Line 919: | ||
inc de | inc de | ||
push de | push de | ||
| − | ld de, | + | ld de,FLO_BUFFER_2 |
dec b | dec b | ||
ret z | ret z | ||
push bc | push bc | ||
| − | ld de, | + | ld de,FLO_BUFFER_3 |
call FLO_MULT | call FLO_MULT | ||
pop bc | pop bc | ||
| Line 948: | Line 948: | ||
push af | push af | ||
push de | push de | ||
| − | ld de, | + | ld de,FLO_BUFFER_2 |
call FLO_KONV_HLA_TO_FLO | call FLO_KONV_HLA_TO_FLO | ||
ex de,hl | ex de,hl | ||
| Line 1,123: | Line 1,123: | ||
jp l37ac | jp l37ac | ||
.l3570 | .l3570 | ||
| − | ld de, | + | ld de,FLO_BUFFER_2 |
call l2f90 | call l2f90 | ||
ex de,hl | ex de,hl | ||
| Line 1,587: | Line 1,587: | ||
FLO_VALUE_DEGRAD db 0 | FLO_VALUE_DEGRAD db 0 | ||
FLO_VALUE_RND ds 4 | FLO_VALUE_RND ds 4 | ||
| + | FLO_BUFFER_1 ds 5 | ||
| + | FLO_BUFFER_2 ds 5 | ||
| + | FLO_BUFFER_3 ds 5 | ||
;--- begin constants ---------------------------------------------------------- | ;--- begin constants ---------------------------------------------------------- | ||
Latest revision as of 07:29, 11 November 2006
;@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
;@ @
;@ C P C 4 0 B i t - F l o a t i n g - P o i n t - R o u t i n e s @
;@ (c) Amstrad 1984 @
;@ disassembled and commented by Prodatron / SymbiosiS @
;@ @
;@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
;--- RANDOM NUMBERS -----------------------------------------------------------
;### FLO_RANDOMIZE0 -> RND seek to 0
;### FLO_RANDOMIZE -> RND seek to (HL)
;### FLO_RND -> Gets next RND value
;### FLO_LAST_RND -> Gets current RND value
;--- OPERATIONS ---------------------------------------------------------------
;### FLO_ADD -> Adds (HL) and (DE) and copies the result in (HL)
;### FLO_SUB -> Substracts (DE) from (HL) and copies the result in (HL)
;### FLO_SUBX -> Substracts (HL) from (DE) and copies the result in (HL)
;### FLO_MULT -> Multiplicates (HL) with (DE) and copies the result in (HL)
;### FLO_DIV -> Divides (HL) by (DE) and copies the result in (HL)
;### FLO_POT -> Raises (HL) to the power of (DE) and copies the result in (HL)
;### FLO_VGL -> Compares (HL) with (DE)
;--- FUNCTIONS ----------------------------------------------------------------
;### FLO_VZW -> Changes the sign of (HL)
;### FLO_SQR -> Extracts the root of (HL)
;### FLO_LOG_NAT -> Gets natural logarythm of (HL)
;### FLO_LOG_DEC -> Gets 10-logarythm of (HL)
;### FLO_POT_E -> (HL)=E^(HL)
;### FLO_SIN -> Calculates the sinus of (HL)
;### FLO_COS -> Calculates the cosinus of (HL)
;### FLO_TAN -> Calculates the tangent of (HL)
;### FLO_ARC_TAN -> Calculates the arcus tangent of (HL)
;### FLO_10A -> (HL)=(HL)*10^A
;### FLO_SGN -> Tests the sign of (HL)
;--- MISCELLANEOUS ------------------------------------------------------------
;### FLO_PI -> Gets PI
;### FLO_MOVE -> Copies Value in (DE) to (HL)
;### FLO_DEGRAD -> Set Deg/Rad
;--- CONVERSION ---------------------------------------------------------------
;### FLO_KONV_HLA_TO_FLO -> Converts 16bit Integer + sign to FLO
;### FLO_KONV_LW_TO_FLO -> Converts 32bit Integer + sign to FLO
;### FLO_ROUND_FLO_TO_HLA -> Rounds FLO value and converts it to 16bit Integer + sign
;### FLO_ROUND_FLO_TO_LW -> Rounds FLO value and converts it to 32bit Integer + sign
;### FLO_FIX_FLO_TO_LW -> Cuts FLO value and converts it to 32bit Integer + sign
;### FLO_INT_FLO_TO_LW -> Cuts FLO value (and decrease if negative) and converts it to 32bit Integer + sign
;### FLO_KONV_HLB_TO_INT -> Converts 16bit integer + sign into 16bit Integer
;--- DISPLAY-PREPARATION ------------------------------------------------------
;### FLO_PREPARE -> Prepares the display of a FLO value
;--- begin routines -----------------------------------------------------------
;### FLO_PI -> Gets PI
;### Input (HL)=Destination
;### Output (HL)=PI, CF=1
;### Unchanged BC,HL,IX,IY
.FLO_PI
ld de,FLO_CONST_PI
jr FLO_MOVE
.l2f7d
ld de,FLO_CONST_C
jr FLO_MOVE
.l2f87
ex de,hl
.l2f88
ld hl,FLO_BUFFER_3
jr FLO_MOVE
.l2f8d
ld de,FLO_BUFFER_1
.l2f90
ex de,hl
;### FLO_MOVE -> Copies Value in (DE) to (HL)
;### Input (DE)=Source value, (HL)=Destination
;### Output (HL)=Value, CF=1
;### Unchanged BC,DE,HL,IX,IY,(DE)
.FLO_MOVE
push hl
push de
push bc
ex de,hl
ld bc,#0005
ldir
pop bc
pop de
pop hl
scf
ret
;### FLO_KONV_HLA_TO_FLO -> Converts 16bit Integer + sign to FLO
;### Input HL=value, A[bit7]=sign, (DE)=destination
;### Output HL=DE, (HL)=FLO value
;### Unchanged BC,IX,IY
.FLO_KONV_HLA_TO_FLO
push de
push bc
or #7f
ld b,a
xor a
ld (de),a
inc de
ld (de),a
inc de
ld c,#90
or h
jr nz,l2fbb
ld c,a
or l
jr z,l2fbf
ld l,h
ld c,#88
jr l2fbb
.l2fb7
dec c
sla l
adc a
.l2fbb
jp p,l2fb7
and b
.l2fbf
ex de,hl
ld (hl),e
inc hl
ld (hl),a
inc hl
ld (hl),c
pop bc
pop hl
ret
;### FLO_KONV_LW_TO_FLO -> Converts 32bit Integer + sign to FLO
;### Input (HL)=LW, A[bit7]=sign
;### Output (HL)=FLO value
;### Unchanged BC,DE,HL,IY
.FLO_KONV_LW_TO_FLO
push bc
ld bc,#a000
call l2fd3
pop bc
ret
ld b,#a8
.l2fd3
push de
call l379c
pop de
ret
;### FLO_ROUND_FLO_TO_HLA -> Rounds FLO value and converts it to 16bit Integer + sign
;### Input (HL)=FLO value
;### Output HL=abs((HL)), A[bit7]=sign
;### CF=0 Overflow
;### Unchanged BC,DE,IY
.FLO_ROUND_FLO_TO_HLA
push hl
pop ix
xor a
sub (ix+#04)
jr z,l2ffd
add #90
ret nc
push de
push bc
add #10
call l373d
sla c
adc hl,de
jr z,l2ffa
ld a,(ix+#03)
or a
.l2ff6
ccf
pop bc
pop de
ret
.l2ffa
sbc a
jr l2ff6
.l2ffd
ld l,a
ld h,a
scf
ret
;### FLO_ROUND_FLO_TO_LW -> Rounds FLO value and converts it to 32bit Integer + sign
;### Input (HL)=FLO value
;### Output (HL)=abs((HL)), B[bit7]=sign
;### CF=0 Overflow
;### Unchanged DE,HL,IY
.FLO_ROUND_FLO_TO_LW
call FLO_FIX_FLO_TO_LW
ret nc
ret p
.l3006
push hl
ld a,c
.l3008
inc (hl)
jr nz,l3011
inc hl
dec a
jr nz,l3008
inc (hl)
inc c
.l3011
pop hl
scf
ret
;### FLO_FIX_FLO_TO_LW -> Cuts FLO value and converts it to 32bit Integer + sign
;### Input (HL)=FLO value
;### Output (HL)=abs((HL)), B[bit7]=sign
;### CF=0 Overflow
;### Unchanged DE,HL,IY
.FLO_FIX_FLO_TO_LW
push hl
push de
push hl
pop ix
xor a
sub (ix+#04)
jr nz,l3029
ld b,#04
.l3021
ld (hl),a
inc hl
djnz l3021
ld c,#01
jr l3051
.l3029
add #a0
jr nc,l3052
push hl
call l373d
xor a
cp b
adc a
or c
ld c,l
ld b,h
pop hl
ld (hl),c
inc hl
ld (hl),b
inc hl
ld (hl),e
inc hl
ld e,a
ld a,(hl)
ld (hl),d
and #80
ld b,a
ld c,#04
xor a
.l3047
or (hl)
jr nz,l304f
dec hl
dec c
jr nz,l3047
inc c
.l304f
ld a,e
or a
.l3051
scf
.l3052
pop de
pop hl
ret
;### FLO_INT_FLO_TO_LW -> Cuts FLO value (and decrease if negative) and converts it to 32bit Integer + sign
;### Input (HL)=FLO value
;### Output (HL)=abs((HL)), B[bit7]=sign
;### CF=0 Overflow
;### Unchanged DE,HL,IY
.FLO_INT_FLO_TO_LW
call FLO_FIX_FLO_TO_LW
ret nc
ret z
bit 7,b
ret z
jr l3006
;### FLO_PREPARE -> Prepares the display of a FLO value
;### Input (HL)=FLO value
;### Output (HL)=LW normed mantissa
;### B = sign of mantissa
;### D = sign of exponent
;### E = exponent/comma position
;### C = number of significant mantissa bytes (NOT digits!)
;### Unchanged HL
.FLO_PREPARE
call FLO_SGN
ld b,a
jr z,l30b7
call m,l3734
push hl
ld a,(ix+#04)
sub #80
ld e,a
sbc a
ld d,a
ld l,e
ld h,d
add hl,hl
add hl,hl
add hl,hl
add hl,de
add hl,hl
add hl,de
add hl,hl
add hl,hl
add hl,de
ld a,h
sub #09
ld c,a
pop hl
push bc
call nz,l30c8
.l3085
ld de,FLO_CONST_A
call l36e2
jr nc,l3098
ld de,FLO_CONST_D1
call FLO_MULT
pop de
dec e
push de
jr l3085
.l3098
ld de,FLO_CONST_B
call l36e2
jr c,l30ab
ld de,FLO_CONST_D1
call FLO_DIV
pop de
inc e
push de
jr l3098
.l30ab
call FLO_ROUND_FLO_TO_LW
ld a,c
pop de
.l30b0
ld b,d
dec a
add l
ld l,a
ret nc
inc h
ret
.l30b7
ld e,a
ld (hl),a
ld c,#01
ret
;### FLO_KONV_HLB_TO_INT -> Converts 16bit integer + sign into 16bit Integer
;### Input HL=16 bit integer, B[bit7]=sign
;### Output HL=signed 16 bit integer
;### CF=0 Overflow
;### Unchanged BC,DE,IX,IY
.FLO_KONV_HLB_TO_INT
ld a,h
or a
jp m,ldd42
or b
jp m,ldded
scf
ret
.ldd42
xor #80
or l
ret nz
ld a,b
scf
adc a
ret
.ldded
xor a
sub l
ld l,a
sbc h
sub l
cp h
ld h,a
scf
ret nz
cp #01
ret
;### FLO_10A -> (HL)=(HL)*10^A
;### Input (HL)=value, A=potence (signed)
;### Output (HL)=(HL)*10^A
;### CF=0 Overflow
;### Unchanged HL
.FLO_10A
cpl
inc a
.l30c8
or a
scf
ret z
ld c,a
jp p,l30d1
cpl
inc a
.l30d1
ld de,FLO_CONST_D2
sub #0d
jr z,l30ed
jr c,l30e3
push bc
push af
call l30ed
pop af
pop bc
jr l30d1
.l30e3
ld b,a
add a
add a
add b
add e
ld e,a
ld a,#ff
adc d
ld d,a
.l30ed
ld a,c
or a
jp p,FLO_DIV
jp FLO_MULT
;### FLO_RANDOMIZE0 -> RND seek to 0
;### Unchanged AF,BC,DE,IX,IY
.FLO_RANDOMIZE0
ld hl,#8965
ld (FLO_VALUE_RND+2),hl
ld hl,#6c07
ld (FLO_VALUE_RND),hl
ret
;### FLO_RANDOMIZE -> RND seek to (HL)
;### Input (HL)=value
;### Unchanged C,IY,FLO(HL)
.FLO_RANDOMIZE
ex de,hl
call FLO_RANDOMIZE0
ex de,hl
call FLO_SGN
ret z
ld de,FLO_VALUE_RND
ld b,#04
.l3151
ld a,(de)
xor (hl)
ld (de),a
inc de
inc hl
djnz l3151
ret
;### FLO_RND -> Gets next RND value
;### Input (HL)=Destination
;### Output (HL)=new RND
;### Unchanged HL,IY
.FLO_RND
push hl
ld hl,(FLO_VALUE_RND+2)
ld bc,#6c07
call l319c
push hl
ld hl,(FLO_VALUE_RND)
ld bc,#8965
call l319c
push de
push hl
ld hl,(FLO_VALUE_RND+2)
call l319c
ex (sp),hl
add hl,bc
ld (FLO_VALUE_RND),hl
pop hl
ld bc,#6c07
adc hl,bc
pop bc
add hl,bc
pop bc
add hl,bc
ld (FLO_VALUE_RND+2),hl
pop hl
;### FLO_LAST_RND -> Gets current RND value
;### Input (HL)=Destination
;### Output (HL)=current RND
;### Unchanged HL,IY
.FLO_LAST_RND
push hl
pop ix
ld hl,(FLO_VALUE_RND)
ld de,(FLO_VALUE_RND+2)
ld bc,#0000
ld (ix+#04),#80
jp l37ac
.l319c
ex de,hl
ld hl,#0000
ld a,#11
.l31a2
dec a
ret z
add hl,hl
rl e
rl d
jr nc,l31a2
add hl,bc
jr nc,l31a2
inc de
jr l31a2
;### FLO_LOG_DEC -> Gets 10-logarythm of (HL)
;### Input (HL)=value
;### Output (HL)=LOG10((HL))
;### CF=0 error, value zero or negative
;### Unchanged HL
.FLO_LOG_DEC
ld de,FLO_CONST_LOGDEC
jr l31b9
;### FLO_LOG_NAT -> Gets natural logarythm of (HL)
;### Input (HL)=value
;### Output (HL)=LOG((HL))
;### CF=0 error, value zero or negative
;### Unchanged HL
.FLO_LOG_NAT
ld de,FLO_CONST_LOGNAT
.l31b9
call FLO_SGN
dec a
cp #01
ret nc
push de
call l36d3
push af
ld (ix+#04),#80
ld de,FLO_CONST_LOG
call FLO_VGL
jr nc,l31d7
inc (ix+#04)
pop af
dec a
push af
.l31d7
call l2f87
push de
ld de,FLO_CONST_C
push de
call FLO_ADD
pop de
ex (sp),hl
call FLO_SUB
pop de
call FLO_DIV
call l3440
db #04
db #4c,#4b,#57,#5e,#7f
db #0d,#08,#9b,#13,#80
db #23,#93,#38,#76,#80
db #20,#3b,#aa,#38,#82
.l3203
push de
call FLO_MULT
pop de
ex (sp),hl
ld a,h
or a
jp p,l3210
cpl
inc a
.l3210
ld l,a
ld a,h
ld h,#00
call FLO_KONV_HLA_TO_FLO
ex de,hl
pop hl
call FLO_ADD
pop de
jp FLO_MULT
;### FLO_POT_E -> (HL)=E^(HL)
;### Input (HL)=value
;### Output (HL)=E^(HL)
;### CF=0 Overflow
;### Unchanged HL
.FLO_POT_E
ld b,#e1
call l3492
jp nc,l2f7d
ld de,FLO_CONST_POTE2
call FLO_VGL
jp p,l37e8
ld de,FLO_CONST_POTE3
call FLO_VGL
jp m,l37e2
ld de,FLO_CONST_POTE1
call l3469
ld a,e
jp p,l3255
neg
.l3255
push af
call l3570
call l2f8d
push de
call l3443
db #03
db #f4,#32,#eb,#0f,#73
db #08,#b8,#d5,#52,#7b
.FLO_CONST_HALF ;=1/2
db #00,#00,#00,#00,#80
.l3270
ex (sp),hl
call l3443
db #02
db #09,#60,#de,#01,#78
db #f8,#17,#72,#31,#7e
.l327f
call FLO_MULT
pop de
push hl
ex de,hl
call FLO_SUB
ex de,hl
pop hl
call FLO_DIV
ld de,FLO_CONST_HALF
call FLO_ADD
pop af
scf
adc (ix+#04)
ld (ix+#04),a
scf
ret
;### FLO_SQR -> Extracts the root of (HL)
;### Input (HL)=value
;### Output (HL)=sqr(HL)
;### CF=0 error, negative value
;### Unchanged HL
ld de,FLO_CONST_HALF
;### FLO_POT -> Raises (HL) to the power of (DE) and copies the result in (HL)
;### Input (HL)=first value, (DE)=second value
;### Output (HL)=(HL)^(DE)
;### CF=0 Error [S=1 invalid parameter -X^(z/n), P=1 Overflow]
;### Unchanged HL,FLO(DE)
.FLO_POT
ex de,hl
call FLO_SGN
ex de,hl
jp z,l2f7d
push af
call FLO_SGN
jr z,l32e2
ld b,a
call m,l3734
push hl
call l3324
pop hl
jr c,l32ed
ex (sp),hl
pop hl
jp m,l32ea
push bc
push de
call FLO_LOG_NAT
pop de
call c,FLO_MULT
call c,FLO_POT_E
.l32d9
pop bc
ret nc
ld a,b
or a
call m,FLO_VZW
scf
ret
.l32e2
pop af
scf
ret p
call l37e8
xor a
ret
.l32ea
xor a
inc a
ret
.l32ed
ld c,a
pop af
push bc
push af
ld a,c
scf
.l32f3
adc a
jr nc,l32f3
ld b,a
call l2f8d
ex de,hl
ld a,b
.l32fc
add a
jr z,l3314
push af
call l3570
jr nc,l331b
pop af
jr nc,l32fc
push af
ld de,FLO_BUFFER_1
call FLO_MULT
jr nc,l331b
pop af
jr l32fc
.l3314
pop af
scf
call m,l35fb
jr l32d9
.l331b
pop af
pop af
pop bc
jp m,l37e2
jp l37ea
.l3324
push bc
call l2f88
call FLO_FIX_FLO_TO_LW
ld a,c
pop bc
jr nc,l3331
jr z,l3334
.l3331
ld a,b
or a
ret
.l3334
ld c,a
ld a,(hl)
rra
sbc a
and b
ld b,a
ld a,c
cp #02
sbc a
ret nc
ld a,(hl)
cp #27
ret c
xor a
ret
;### FLO_DEGRAD -> Set Deg/Rad
;### Input A=Typ (=0 -> Rad, >0 -> Deg)
;### Unchanged AF,BC,DE,HL,IX,IY
.FLO_DEGRAD
ld (FLO_VALUE_DEGRAD),a
ret
;### FLO_COS -> Calculates the cosinus of (HL)
;### Input (HL)=value
;### Output (HL)=cos(HL)
;### CF=0 value too big
;### Unchanged HL
.FLO_COS
call FLO_SGN
call m,l3734
or #01
jr l3354
;### FLO_SIN -> Calculates the sinus of (HL)
;### Input (HL)=value
;### Output (HL)=sin(HL)
;### CF=0 value too big
;### Unchanged HL
.FLO_SIN
xor a
.l3354
push af
ld de,FLO_CONST_SINA
ld b,#f0
ld a,(FLO_VALUE_DEGRAD)
or a
jr z,l3365
ld de,FLO_CONST_SINB
ld b,#f6
.l3365
call l3492
jr nc,l33a4
pop af
call l346a
ret nc
ld a,e
rra
call c,l3734
ld b,#e8
call l3492
jp nc,l37e2
inc (ix+#04)
call l3440
db #06
db #1b,#2d,#1a,#e6,#6e
db #f8,#fb,#07,#28,#74
db #01,#89,#68,#99,#79
db #e1,#df,#35,#23,#7d
db #28,#e7,#5d,#a5,#80
.FLO_CONST_F
db #a2,#da,#0f,#49,#81
.l33a1
jp FLO_MULT
.l33a4
pop af
jp nz,l2f7d
ld a,(FLO_VALUE_DEGRAD)
cp #01
ret c
ld de,FLO_CONST_SINC
jp FLO_MULT
;### FLO_TAN -> Calculates the tangent of (HL)
;### Input (HL)=value
;### Output (HL)=tan(HL)
;### CF=0 error [Z=1 division by zero, S=1 value too big]
;### Unchanged HL
.FLO_TAN
call l2f8d
push de
call FLO_COS
ex (sp),hl
call c,FLO_SIN
pop de
jp c,FLO_DIV
ret
;### FLO_ARC_TAN -> Calculates the arcus tangent of (HL)
;### Input (HL)=value
;### Output (HL)=atn(HL)
;### Unchanged HL
.FLO_ARC_TAN
call FLO_SGN
push af
call m,l3734
ld b,#f0
call l3492
jr nc,l3430
dec a
push af
call p,l35fb
call l3440
db #0b
db #ff,#c1,#03,#0f,#77
db #83,#fc,#e8,#eb,#79
db #6f,#ca,#78,#36,#7b
db #d5,#3e,#b0,#b5,#7c
db #b0,#c1,#8b,#09,#7d
db #af,#e8,#32,#b4,#7d
db #74,#6c,#65,#62,#7d
db #d1,#f5,#37,#92,#7e
db #7a,#c3,#cb,#4c,#7e
db #83,#a7,#aa,#aa,#7f
db #fe,#ff,#ff,#7f,#80
.l3426
call FLO_MULT
pop af
ld de,FLO_CONST_F
call p,FLO_SUBX
.l3430
ld a,(FLO_VALUE_DEGRAD)
or a
ld de,FLO_CONST_TAN
call nz,FLO_MULT
pop af
call m,l3734
scf
ret
.l3440
call l3570
.l3443
call l2f87
pop hl
ld b,(hl)
inc hl
call l2f90
.l344c
inc de
inc de
inc de
inc de
inc de
push de
ld de,FLO_BUFFER_2
dec b
ret z
push bc
ld de,FLO_BUFFER_3
call FLO_MULT
pop bc
pop de
push de
push bc
call FLO_ADD
pop bc
pop de
jr l344c
.l3469
xor a
.l346a
push af
call FLO_MULT
pop af
ld de,FLO_CONST_HALF
call nz,FLO_ADD
push hl
call FLO_ROUND_FLO_TO_HLA
jr nc,l348e
pop de
push hl
push af
push de
ld de,FLO_BUFFER_2
call FLO_KONV_HLA_TO_FLO
ex de,hl
pop hl
call FLO_SUB
pop af
pop de
scf
ret
.l348e
pop hl
xor a
inc a
ret
.l3492
call l36d3
ret p
cp b
ret z
ccf
ret
;### FLO_SUB -> Substracts (DE) from (HL) and copies the result in (HL)
;### Input (HL)=first value, (DE)=second value
;### Output (HL)=(HL)-(DE)
;### CF=0 Overflow
;### Unchanged HL,FLO(DE)
.FLO_SUB
ld a,#01
jr l34a3
;### FLO_SUBX -> Substracts (HL) from (DE) and copies the result in (HL)
;### Input (DE)=first value, (HL)=second value
;### Output (HL)=(DE)-(HL)
;### CF=0 Overflow
;### Unchanged HL,FLO(DE)
.FLO_SUBX
ld a,#80
jr l34a3
;### FLO_ADD -> Adds (HL) and (DE) and copies the result in (HL)
;### Input (HL)=first value, (DE)=second value
;### Output (HL)=(HL)+(DE)
;### CF=0 Overflow
;### Unchanged HL,FLO(DE)
.FLO_ADD
xor a
.l34a3
push hl
pop ix
push de
pop iy
ld b,(ix+#03)
ld c,(iy+#03)
or a
jr z,l34bc
jp m,l34ba
rrca
xor c
ld c,a
jr l34bc
.l34ba
xor b
ld b,a
.l34bc
ld a,(ix+#04)
cp (iy+#04)
jr nc,l34d8
ld d,b
ld b,c
ld c,d
or a
ld d,a
ld a,(iy+#04)
ld (ix+#04),a
jr z,l3525
sub d
cp #21
jr nc,l3525
jr l34e9
.l34d8
xor a
sub (iy+#04)
jr z,l3537
add (ix+#04)
cp #21
jr nc,l3537
push hl
pop iy
ex de,hl
.l34e9
ld e,a
ld a,b
xor c
push af
push bc
ld a,e
call l3743
ld a,c
pop bc
ld c,a
pop af
jp m,l353c
ld a,(iy+#00)
add l
ld l,a
ld a,(iy+#01)
adc h
ld h,a
ld a,(iy+#02)
adc e
ld e,a
ld a,(iy+#03)
set 7,a
adc d
ld d,a
jp nc,l37b7
rr d
rr e
rr h
rr l
rr c
inc (ix+#04)
jp nz,l37b7
jp l37ea
.l3525
ld a,(iy+#02)
ld (ix+#02),a
ld a,(iy+#01)
ld (ix+#01),a
ld a,(iy+#00)
ld (ix+#00),a
.l3537
ld (ix+#03),b
scf
ret
.l353c
xor a
sub c
ld c,a
ld a,(iy+#00)
sbc l
ld l,a
ld a,(iy+#01)
sbc h
ld h,a
ld a,(iy+#02)
sbc e
ld e,a
ld a,(iy+#03)
set 7,a
sbc d
ld d,a
jr nc,l356d
ld a,b
cpl
ld b,a
xor a
sub c
ld c,a
ld a,#00
sbc l
ld l,a
ld a,#00
sbc h
ld h,a
ld a,#00
sbc e
ld e,a
ld a,#00
sbc d
ld d,a
.l356d
jp l37ac
.l3570
ld de,FLO_BUFFER_2
call l2f90
ex de,hl
;### FLO_MULT -> Multiplicates (HL) with (DE) and copies the result in (HL)
;### Input (HL)=first value, (DE)=second value
;### Output (HL)=(HL)*(DE)
;### CF=0 Overflow
;### Unchanged HL,FLO(DE)
.FLO_MULT
push de
pop iy
push hl
pop ix
ld a,(iy+#04)
or a
jr z,l35ad
dec a
call l36af
jr z,l35ad
jr nc,l35aa
push af
push bc
call l35b0
ld a,c
pop bc
ld c,a
pop af
bit 7,d
jr nz,l35a3
dec a
jr z,l35ad
sla c
adc hl,hl
rl e
rl d
.l35a3
ld (ix+#04),a
or a
jp nz,l37b7
.l35aa
jp l37ea
.l35ad
jp l37e2
.l35b0
ld hl,#0000
ld e,l
ld d,h
ld a,(iy+#00)
call l35f3
ld a,(iy+#01)
call l35f3
ld a,(iy+#02)
call l35f3
ld a,(iy+#03)
or #80
.l35cc
ld b,#08
rra
ld c,a
.l35d0
jr nc,l35e6
ld a,l
add (ix+#00)
ld l,a
ld a,h
adc (ix+#01)
ld h,a
ld a,e
adc (ix+#02)
ld e,a
ld a,d
adc (ix+#03)
ld d,a
.l35e6
rr d
rr e
rr h
rr l
rr c
djnz l35d0
ret
.l35f3
or a
jr nz,l35cc
ld l,h
ld h,e
ld e,d
ld d,a
ret
.l35fb
call l2f87
ex de,hl
push de
call l2f7d
pop de
;### FLO_DIV -> Divides (HL) by (DE) and copies the result in (HL)
;### Input (HL)=first value, (DE)=second value
;### Output (HL)=(HL)/(DE)
;### CF=0 Overflow (and ZF=1 -> division by zero)
;### Unchanged HL,FLO(DE)
.FLO_DIV
push de
pop iy
push hl
pop ix
xor a
sub (iy+#04)
jr z,l366a
call l36af
jp z,l37e2
jr nc,l3667
push bc
ld c,a
ld e,(hl)
inc hl
ld d,(hl)
inc hl
ld a,(hl)
inc hl
ld h,(hl)
ld l,a
ex de,hl
ld b,(iy+#03)
set 7,b
call l369d
jr c,l3633
ld a,c
or a
jr nz,l3639
jr l3666
.l3633
dec c
add hl,hl
rl e
rl d
.l3639
ld (ix+#04),c
call l3672
ld (ix+#03),c
call l3672
ld (ix+#02),c
call l3672
ld (ix+#01),c
call l3672
ccf
call c,l369d
ccf
sbc a
ld l,c
ld h,(ix+#01)
ld e,(ix+#02)
ld d,(ix+#03)
pop bc
ld c,a
jp l37b7
.l3666
pop bc
.l3667
jp l37ea
.l366a
ld b,(ix+#03)
call l37ea
xor a
ret
.l3672
ld c,#01
.l3674
jr c,l367e
ld a,d
cp b
.l3678
call z,l36a0
ccf
jr nc,l3691
.l367e
ld a,l
sub (iy+#00)
ld l,a
ld a,h
sbc (iy+#01)
ld h,a
ld a,e
sbc (iy+#02)
ld e,a
ld a,d
sbc b
ld d,a
scf
.l3691
rl c
sbc a
add hl,hl
rl e
rl d
inc a
jr nz,l3674
ret
.l369d
ld a,d
cp b
ret nz
.l36a0
ld a,e
cp (iy+#02)
ret nz
ld a,h
cp (iy+#01)
ret nz
ld a,l
cp (iy+#00)
ret
.l36af
ld c,a
ld a,(ix+#03)
xor (iy+#03)
ld b,a
ld a,(ix+#04)
or a
ret z
add c
ld c,a
rra
xor c
ld a,c
jp p,l36cf
set 7,(ix+#03)
sub #7f
scf
ret nz
cp #01
ret
.l36cf
or a
ret m
xor a
ret
.l36d3
push hl
pop ix
ld a,(ix+#04)
or a
ret z
sub #80
scf
ret
;### FLO_VGL -> Compares (HL) with (DE)
;### Input (HL)=first value, (DE)=second value
;### Output A=Result [-1 -> (HL)<(DE), 0 -> (HL)=(DE), 1 -> (HL)>(DE)]
;### ZF=1 -> (HL)=(DE), CF=1 -> (HL)<(DE)
;### Unchanged BC,DE,HL,FLO(HL),FLO(DE)
.FLO_VGL
push hl
pop ix
.l36e2
push de
pop iy
ld a,(ix+#04)
cp (iy+#04)
jr c,l3719
jr nz,l3722
or a
ret z
ld a,(ix+#03)
xor (iy+#03)
jp m,l3722
ld a,(ix+#03)
sub (iy+#03)
jr nz,l3719
ld a,(ix+#02)
sub (iy+#02)
jr nz,l3719
ld a,(ix+#01)
sub (iy+#01)
jr nz,l3719
ld a,(ix+#00)
sub (iy+#00)
ret z
.l3719
sbc a
xor (iy+#03)
.l371d
add a
sbc a
ret c
inc a
ret
.l3722
ld a,(ix+#03)
jr l371d
;### FLO_SGN -> Tests the sign of (HL)
;### Input (HL)=value
;### Output A=sign [-1 -> (HL)<0, 0 -> (HL)=0, 1 -> (HL)>0]
;### ZF=1 -> (HL)=0, CF=1 -> (HL)<0
;### Unchanged BC,DE,HL,IY,FLO(HL)
.FLO_SGN
push hl
pop ix
ld a,(ix+#04)
or a
ret z
jr l3722
;### FLO_VZW -> Changes the sign of (HL)
;### Input (HL)=value
;### Output (HL)=-(HL)
;### Unchanged BC,DE,HL,IY
.FLO_VZW
push hl
pop ix
.l3734
ld a,(ix+#03)
xor #80
ld (ix+#03),a
ret
.l373d
cp #21
jr c,l3743
ld a,#21
.l3743
ld e,(hl)
inc hl
ld d,(hl)
inc hl
ld c,(hl)
inc hl
ld h,(hl)
ld l,c
ex de,hl
set 7,d
ld bc,#0000
jr l375e
.l3753
ld c,a
ld a,b
or l
ld b,a
ld a,c
ld c,l
ld l,h
ld h,e
ld e,d
ld d,#00
.l375e
sub #08
jr nc,l3753
add #08
ret z
.l3765
srl d
rr e
rr h
rr l
rr c
dec a
jr nz,l3765
ret
.l3773
jr nz,l378c
ld d,a
ld a,e
or h
or l
or c
ret z
ld a,d
.l377c
sub #08
jr c,l379a
ret z
ld d,e
ld e,h
ld h,l
ld l,c
ld c,#00
inc d
dec d
jr z,l377c
ret m
.l378c
dec a
ret z
sla c
adc hl,hl
rl e
rl d
jp p,l378c
ret
.l379a
xor a
ret
.l379c
push hl
pop ix
ld (ix+#04),b
ld b,a
ld e,(hl)
inc hl
ld d,(hl)
inc hl
ld a,(hl)
inc hl
ld h,(hl)
ld l,a
ex de,hl
.l37ac
ld a,(ix+#04)
dec d
inc d
call p,l3773
ld (ix+#04),a
.l37b7
sla c
jr nc,l37cd
inc l
jr nz,l37cd
inc h
jr nz,l37cd
inc de
ld a,d
or e
jr nz,l37cd
inc (ix+#04)
jr z,l37ea
ld d,#80
.l37cd
ld a,b
or #7f
and d
ld (ix+#03),a
ld (ix+#02),e
ld (ix+#01),h
ld (ix+#00),l
.l37dd
push ix
pop hl
scf
ret
.l37e2
xor a
ld (ix+#04),a
jr l37dd
.l37e8
ld b,#00
.l37ea
push ix
pop hl
ld a,b
or #7f
ld (ix+#03),a
or #ff
ld (ix+#04),a
ld (hl),a
ld (ix+#01),a
ld (ix+#02),a
ret
;--- begin variables ----------------------------------------------------------
FLO_VALUE_DEGRAD db 0
FLO_VALUE_RND ds 4
FLO_BUFFER_1 ds 5
FLO_BUFFER_2 ds 5
FLO_BUFFER_3 ds 5
;--- begin constants ----------------------------------------------------------
.FLO_CONST_PI ;=PI
db #a2,#da,#0f,#49,#82
.FLO_CONST_LOG
db #34,#f3,#04,#35,#80
.FLO_CONST_LOGNAT
db #f8,#17,#72,#31,#80
.FLO_CONST_LOGDEC
db #85,#9a,#20,#1a,#7f
.FLO_CONST_POTE1
db #29,#3b,#aa,#38,#81
.FLO_CONST_POTE2
db #c7,#33,#0f,#30,#87
.FLO_CONST_POTE3
db #f8,#17,#72,#b1,#87
.FLO_CONST_SINA
db #6e,#83,#f9,#22,#7f
.FLO_CONST_SINB
db #b6,#60,#0b,#36,#79
.FLO_CONST_SINC
db #13,#35,#fa,#0e,#7b
.FLO_CONST_TAN
db #d3,#e0,#2e,#65,#86
.FLO_CONST_A
db #f0,#1f,#bc,#3e,#96
.FLO_CONST_B
db #fe,#27,#6b,#6e,#9e
.FLO_CONST_C
db #00,#00,#00,#00,#81
.FLO_CONST_D1
db #00,#00,#00,#20,#84
db #00,#00,#00,#48,#87
db #00,#00,#00,#7a,#8a
db #00,#00,#40,#1c,#8e
db #00,#00,#50,#43,#91
db #00,#00,#24,#74,#94
db #00,#80,#96,#18,#98
db #00,#20,#bc,#3e,#9b
db #00,#28,#6b,#6e,#9e
db #00,#f9,#02,#15,#a2
db #40,#b7,#43,#3a,#a5
db #10,#a5,#d4,#68,#a8
.FLO_CONST_D2
db #2a,#e7,#84,#11,#ac
