/
FPMaths.asm
1623 lines (1475 loc) · 80.2 KB
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FPMaths.asm
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;; MATHS ROUTINES
;;=============================================================================
;;
;;Limited documentation for these can be found at
;;https://www.cpcwiki.eu/index.php/BIOS_Function_Summary
;;=============================================================================
;; REAL: PI to DE
REAL_PI_to_DE: ;{{Addr=$2f73 Code Calls/jump count: 0 Data use count: 1}}
ld de,PI_const ;{{2f73:11782f}}
jr REAL_copy_atDE_to_atHL;{{2f76:1819}}
;;+
;;PI const
PI_const: ;{{Addr=$2f78 Data Calls/jump count: 0 Data use count: 1}}
defb $a2,$da,$0f,$49,$82 ; PI in floating point format 3.14159265
;;===========================================================================================
;; REAL: ONE to DE
REAL_ONE_to_DE: ;{{Addr=$2f7d Code Calls/jump count: 4 Data use count: 0}}
ld de,ONE_const ;{{2f7d:11822f}}
jr REAL_copy_atDE_to_atHL;{{2f80:180f}} (+&0f)
;;+
;;ONE const
ONE_const: ;{{Addr=$2f82 Data Calls/jump count: 0 Data use count: 2}}
defb $00,$00,$00,$00,$81 ; 1 in floating point format
;;===========================================================================================
;;REAL copy atHL to b10e swapped
REAL_copy_atHL_to_b10e_swapped: ;{{Addr=$2f87 Code Calls/jump count: 3 Data use count: 0}}
ex de,hl ;{{2f87:eb}}
;;= REAL move DE to b10e
REAL_move_DE_to_b10e: ;{{Addr=$2f88 Code Calls/jump count: 1 Data use count: 0}}
ld hl,internal_REAL_store_3;{{2f88:210eb1}}
jr REAL_copy_atDE_to_atHL;{{2f8b:1804}} (+&04)
;;---------------------------------------
;;REAL copy atHL to b104
_real_move_de_to_b10e_2: ;{{Addr=$2f8d Code Calls/jump count: 3 Data use count: 0}}
ld de,internal_REAL_store_1;{{2f8d:1104b1}}
;;= REAL copy atHL to atDE swapped
REAL_copy_atHL_to_atDE_swapped: ;{{Addr=$2f90 Code Calls/jump count: 2 Data use count: 0}}
ex de,hl ;{{2f90:eb}}
;;=---------------------------------------
;; REAL copy atDE to atHL
;; HL = points to address to write floating point number to
;; DE = points to address of a floating point number
REAL_copy_atDE_to_atHL: ;{{Addr=$2f91 Code Calls/jump count: 3 Data use count: 1}}
push hl ;{{2f91:e5}}
push de ;{{2f92:d5}}
push bc ;{{2f93:c5}}
ex de,hl ;{{2f94:eb}}
ld bc,$0005 ;{{2f95:010500}} ##LIT##;WARNING: Code area used as literal
ldir ;{{2f98:edb0}}
pop bc ;{{2f9a:c1}}
pop de ;{{2f9b:d1}}
pop hl ;{{2f9c:e1}}
scf ;{{2f9d:37}}
ret ;{{2f9e:c9}}
;;============================================================================================
;; REAL: INT to real
REAL_INT_to_real: ;{{Addr=$2f9f Code Calls/jump count: 2 Data use count: 1}}
push de ;{{2f9f:d5}}
push bc ;{{2fa0:c5}}
or $7f ;{{2fa1:f67f}}
ld b,a ;{{2fa3:47}}
xor a ;{{2fa4:af}}
ld (de),a ;{{2fa5:12}}
inc de ;{{2fa6:13}}
ld (de),a ;{{2fa7:12}}
inc de ;{{2fa8:13}}
ld c,$90 ;{{2fa9:0e90}}
or h ;{{2fab:b4}}
jr nz,_real_int_to_real_21;{{2fac:200d}} (+&0d)
ld c,a ;{{2fae:4f}}
or l ;{{2faf:b5}}
jr z,_real_int_to_real_23;{{2fb0:280d}} (+&0d)
ld l,h ;{{2fb2:6c}}
ld c,$88 ;{{2fb3:0e88}}
jr _real_int_to_real_21;{{2fb5:1804}} (+&04)
_real_int_to_real_18: ;{{Addr=$2fb7 Code Calls/jump count: 1 Data use count: 0}}
dec c ;{{2fb7:0d}}
sla l ;{{2fb8:cb25}}
adc a,a ;{{2fba:8f}}
_real_int_to_real_21: ;{{Addr=$2fbb Code Calls/jump count: 2 Data use count: 0}}
jp p,_real_int_to_real_18;{{2fbb:f2b72f}}
and b ;{{2fbe:a0}}
_real_int_to_real_23: ;{{Addr=$2fbf Code Calls/jump count: 1 Data use count: 0}}
ex de,hl ;{{2fbf:eb}}
ld (hl),e ;{{2fc0:73}}
inc hl ;{{2fc1:23}}
ld (hl),a ;{{2fc2:77}}
inc hl ;{{2fc3:23}}
ld (hl),c ;{{2fc4:71}}
pop bc ;{{2fc5:c1}}
pop hl ;{{2fc6:e1}}
ret ;{{2fc7:c9}}
;;============================================================================================
;; REAL: BIN to real
REAL_BIN_to_real: ;{{Addr=$2fc8 Code Calls/jump count: 0 Data use count: 1}}
push bc ;{{2fc8:c5}}
ld bc,$a000 ;{{2fc9:0100a0}}
call _real_5byte_to_real_1;{{2fcc:cdd32f}}
pop bc ;{{2fcf:c1}}
ret ;{{2fd0:c9}}
;;============================================================================================
;; REAL 5-byte to real
REAL_5byte_to_real: ;{{Addr=$2fd1 Code Calls/jump count: 0 Data use count: 1}}
ld b,$a8 ;{{2fd1:06a8}}
_real_5byte_to_real_1: ;{{Addr=$2fd3 Code Calls/jump count: 1 Data use count: 0}}
push de ;{{2fd3:d5}}
call Process_REAL_at_HL;{{2fd4:cd9c37}}
pop de ;{{2fd7:d1}}
ret ;{{2fd8:c9}}
;;============================================================================================
;; REAL to int
REAL_to_int: ;{{Addr=$2fd9 Code Calls/jump count: 1 Data use count: 1}}
push hl ;{{2fd9:e5}}
pop ix ;{{2fda:dde1}}
xor a ;{{2fdc:af}}
sub (ix+$04) ;{{2fdd:dd9604}}
jr z,_real_to_int_22 ;{{2fe0:281b}} (+&1b)
add a,$90 ;{{2fe2:c690}}
ret nc ;{{2fe4:d0}}
push de ;{{2fe5:d5}}
push bc ;{{2fe6:c5}}
add a,$10 ;{{2fe7:c610}}
call x373d_code ;{{2fe9:cd3d37}}
sla c ;{{2fec:cb21}}
adc hl,de ;{{2fee:ed5a}}
jr z,_real_to_int_20 ;{{2ff0:2808}} (+&08)
ld a,(ix+$03) ;{{2ff2:dd7e03}}
or a ;{{2ff5:b7}}
_real_to_int_16: ;{{Addr=$2ff6 Code Calls/jump count: 1 Data use count: 0}}
ccf ;{{2ff6:3f}}
pop bc ;{{2ff7:c1}}
pop de ;{{2ff8:d1}}
ret ;{{2ff9:c9}}
_real_to_int_20: ;{{Addr=$2ffa Code Calls/jump count: 1 Data use count: 0}}
sbc a,a ;{{2ffa:9f}}
jr _real_to_int_16 ;{{2ffb:18f9}} (-&07)
_real_to_int_22: ;{{Addr=$2ffd Code Calls/jump count: 1 Data use count: 0}}
ld l,a ;{{2ffd:6f}}
ld h,a ;{{2ffe:67}}
scf ;{{2fff:37}}
ret ;{{3000:c9}}
;;============================================================================================
;; REAL to bin
REAL_to_bin: ;{{Addr=$3001 Code Calls/jump count: 1 Data use count: 1}}
call REAL_fix ;{{3001:cd1430}}
ret nc ;{{3004:d0}}
ret p ;{{3005:f0}}
_real_to_bin_3: ;{{Addr=$3006 Code Calls/jump count: 1 Data use count: 0}}
push hl ;{{3006:e5}}
ld a,c ;{{3007:79}}
_real_to_bin_5: ;{{Addr=$3008 Code Calls/jump count: 1 Data use count: 0}}
inc (hl) ;{{3008:34}}
jr nz,_real_to_bin_12;{{3009:2006}} (+&06)
inc hl ;{{300b:23}}
dec a ;{{300c:3d}}
jr nz,_real_to_bin_5 ;{{300d:20f9}} (-&07)
inc (hl) ;{{300f:34}}
inc c ;{{3010:0c}}
_real_to_bin_12: ;{{Addr=$3011 Code Calls/jump count: 1 Data use count: 0}}
pop hl ;{{3011:e1}}
scf ;{{3012:37}}
ret ;{{3013:c9}}
;;============================================================================================
;; REAL fix
REAL_fix: ;{{Addr=$3014 Code Calls/jump count: 3 Data use count: 1}}
push hl ;{{3014:e5}}
push de ;{{3015:d5}}
push hl ;{{3016:e5}}
pop ix ;{{3017:dde1}}
xor a ;{{3019:af}}
sub (ix+$04) ;{{301a:dd9604}}
jr nz,_real_fix_13 ;{{301d:200a}} (+&0a)
ld b,$04 ;{{301f:0604}}
_real_fix_8: ;{{Addr=$3021 Code Calls/jump count: 1 Data use count: 0}}
ld (hl),a ;{{3021:77}}
inc hl ;{{3022:23}}
djnz _real_fix_8 ;{{3023:10fc}} (-&04)
ld c,$01 ;{{3025:0e01}}
jr _real_fix_45 ;{{3027:1828}} (+&28)
_real_fix_13: ;{{Addr=$3029 Code Calls/jump count: 1 Data use count: 0}}
add a,$a0 ;{{3029:c6a0}}
jr nc,_real_fix_46 ;{{302b:3025}} (+&25)
push hl ;{{302d:e5}}
call x373d_code ;{{302e:cd3d37}}
xor a ;{{3031:af}}
cp b ;{{3032:b8}}
adc a,a ;{{3033:8f}}
or c ;{{3034:b1}}
ld c,l ;{{3035:4d}}
ld b,h ;{{3036:44}}
pop hl ;{{3037:e1}}
ld (hl),c ;{{3038:71}}
inc hl ;{{3039:23}}
ld (hl),b ;{{303a:70}}
inc hl ;{{303b:23}}
ld (hl),e ;{{303c:73}}
inc hl ;{{303d:23}}
ld e,a ;{{303e:5f}}
ld a,(hl) ;{{303f:7e}}
ld (hl),d ;{{3040:72}}
and $80 ;{{3041:e680}}
ld b,a ;{{3043:47}}
ld c,$04 ;{{3044:0e04}}
xor a ;{{3046:af}}
_real_fix_37: ;{{Addr=$3047 Code Calls/jump count: 1 Data use count: 0}}
or (hl) ;{{3047:b6}}
jr nz,_real_fix_43 ;{{3048:2005}} (+&05)
dec hl ;{{304a:2b}}
dec c ;{{304b:0d}}
jr nz,_real_fix_37 ;{{304c:20f9}} (-&07)
inc c ;{{304e:0c}}
_real_fix_43: ;{{Addr=$304f Code Calls/jump count: 1 Data use count: 0}}
ld a,e ;{{304f:7b}}
or a ;{{3050:b7}}
_real_fix_45: ;{{Addr=$3051 Code Calls/jump count: 1 Data use count: 0}}
scf ;{{3051:37}}
_real_fix_46: ;{{Addr=$3052 Code Calls/jump count: 1 Data use count: 0}}
pop de ;{{3052:d1}}
pop hl ;{{3053:e1}}
ret ;{{3054:c9}}
;;============================================================================================
;; REAL int
REAL_int: ;{{Addr=$3055 Code Calls/jump count: 0 Data use count: 1}}
call REAL_fix ;{{3055:cd1430}}
ret nc ;{{3058:d0}}
ret z ;{{3059:c8}}
bit 7,b ;{{305a:cb78}}
ret z ;{{305c:c8}}
jr _real_to_bin_3 ;{{305d:18a7}} (-&59)
;;================================================================
;; REAL prepare for decimal
REAL_prepare_for_decimal: ;{{Addr=$305f Code Calls/jump count: 0 Data use count: 1}}
call REAL_SGN ;{{305f:cd2737}}
ld b,a ;{{3062:47}}
jr z,_real_prepare_for_decimal_55;{{3063:2852}} (+&52)
call m,_real_negate_2 ;{{3065:fc3437}}
push hl ;{{3068:e5}}
ld a,(ix+$04) ;{{3069:dd7e04}}
sub $80 ;{{306c:d680}}
ld e,a ;{{306e:5f}}
sbc a,a ;{{306f:9f}}
ld d,a ;{{3070:57}}
ld l,e ;{{3071:6b}}
ld h,d ;{{3072:62}}
add hl,hl ;{{3073:29}}
add hl,hl ;{{3074:29}}
add hl,hl ;{{3075:29}}
add hl,de ;{{3076:19}}
add hl,hl ;{{3077:29}}
add hl,de ;{{3078:19}}
add hl,hl ;{{3079:29}}
add hl,hl ;{{307a:29}}
add hl,de ;{{307b:19}}
ld a,h ;{{307c:7c}}
sub $09 ;{{307d:d609}}
ld c,a ;{{307f:4f}}
pop hl ;{{3080:e1}}
push bc ;{{3081:c5}}
call nz,_real_exp_a_2 ;{{3082:c4c830}}
_real_prepare_for_decimal_27: ;{{Addr=$3085 Code Calls/jump count: 1 Data use count: 0}}
ld de,Jumpblock_BD76_constant_a;{{3085:11bc30}}
call _real_compare_2 ;{{3088:cde236}}
jr nc,_real_prepare_for_decimal_36;{{308b:300b}} (+&0b)
ld de,powers_of_10_constants;{{308d:11f530}} start of power's of ten
call REAL_multiplication;{{3090:cd7735}}
pop de ;{{3093:d1}}
dec e ;{{3094:1d}}
push de ;{{3095:d5}}
jr _real_prepare_for_decimal_27;{{3096:18ed}} (-&13)
_real_prepare_for_decimal_36: ;{{Addr=$3098 Code Calls/jump count: 2 Data use count: 0}}
ld de,Jumpblock_BD76_constant_b;{{3098:11c130}}
call _real_compare_2 ;{{309b:cde236}}
jr c,_real_prepare_for_decimal_45;{{309e:380b}} (+&0b)
ld de,powers_of_10_constants;{{30a0:11f530}} start of power's of ten
call REAL_division ;{{30a3:cd0436}}
pop de ;{{30a6:d1}}
inc e ;{{30a7:1c}}
push de ;{{30a8:d5}}
jr _real_prepare_for_decimal_36;{{30a9:18ed}} (-&13)
_real_prepare_for_decimal_45: ;{{Addr=$30ab Code Calls/jump count: 1 Data use count: 0}}
call REAL_to_bin ;{{30ab:cd0130}}
ld a,c ;{{30ae:79}}
pop de ;{{30af:d1}}
ld b,d ;{{30b0:42}}
dec a ;{{30b1:3d}}
add a,l ;{{30b2:85}}
ld l,a ;{{30b3:6f}}
ret nc ;{{30b4:d0}}
inc h ;{{30b5:24}}
ret ;{{30b6:c9}}
_real_prepare_for_decimal_55: ;{{Addr=$30b7 Code Calls/jump count: 1 Data use count: 0}}
ld e,a ;{{30b7:5f}}
ld (hl),a ;{{30b8:77}}
ld c,$01 ;{{30b9:0e01}}
ret ;{{30bb:c9}}
;;=Jumpblock BD76 constant a
Jumpblock_BD76_constant_a: ;{{Addr=$30bc Data Calls/jump count: 0 Data use count: 1}}
defb $f0,$1f,$bc,$3e,$96 ;3124999.98
;;=Jumpblock BD76 constant b
Jumpblock_BD76_constant_b: ;{{Addr=$30c1 Data Calls/jump count: 0 Data use count: 1}}
defb $fe,$27,$6b,$6e,$9e ;Manual fix (corrected to data from a ROM dump) 1e+09
;30c1 defb &fe,&27,&7b,&6e,&9e ;(original line from disassembly listing) 1.00026e+09
;;============================================================================================
;; REAL exp A
REAL_exp_A: ;{{Addr=$30c6 Code Calls/jump count: 0 Data use count: 1}}
cpl ;{{30c6:2f}}
inc a ;{{30c7:3c}}
_real_exp_a_2: ;{{Addr=$30c8 Code Calls/jump count: 1 Data use count: 0}}
or a ;{{30c8:b7}}
scf ;{{30c9:37}}
ret z ;{{30ca:c8}}
ld c,a ;{{30cb:4f}}
jp p,_real_exp_a_9 ;{{30cc:f2d130}}
cpl ;{{30cf:2f}}
inc a ;{{30d0:3c}}
_real_exp_a_9: ;{{Addr=$30d1 Code Calls/jump count: 2 Data use count: 0}}
ld de,_powers_of_10_constants_12;{{30d1:113131}}
sub $0d ;{{30d4:d60d}}
jr z,_real_exp_a_28 ;{{30d6:2815}} (+&15)
jr c,_real_exp_a_19 ;{{30d8:3809}} (+&09)
push bc ;{{30da:c5}}
push af ;{{30db:f5}}
call _real_exp_a_28 ;{{30dc:cded30}}
pop af ;{{30df:f1}}
pop bc ;{{30e0:c1}}
jr _real_exp_a_9 ;{{30e1:18ee}} (-&12)
_real_exp_a_19: ;{{Addr=$30e3 Code Calls/jump count: 1 Data use count: 0}}
ld b,a ;{{30e3:47}}
add a,a ;{{30e4:87}}
add a,a ;{{30e5:87}}
add a,b ;{{30e6:80}}
add a,e ;{{30e7:83}}
ld e,a ;{{30e8:5f}}
ld a,$ff ;{{30e9:3eff}}
adc a,d ;{{30eb:8a}}
ld d,a ;{{30ec:57}}
_real_exp_a_28: ;{{Addr=$30ed Code Calls/jump count: 2 Data use count: 0}}
ld a,c ;{{30ed:79}}
or a ;{{30ee:b7}}
jp p,REAL_division ;{{30ef:f20436}}
jp REAL_multiplication;{{30f2:c37735}}
;;===========================================================================================
;; power's of 10 constants
;; in internal floating point representation
;;
powers_of_10_constants: ;{{Addr=$30f5 Data Calls/jump count: 0 Data use count: 2}}
defb $00,$00,$00,$20,$84 ; 10 (10^1) (Data corrected to match that from a ROM dump) 10
;30f5 defb &00,&00,&00,&00,&84 ;; 10 (10^1) (Original line from disassembly) 8
defb $00,$00,$00,$48,$87 ; 100 (10^2) 100
defb $00,$00,$00,$7A,$8A ; 1000 (10^3) 1000
defb $00,$00,$40,$1c,$8e ; 10000 (10^4) (1E+4) 10000
defb $00,$00,$50,$43,$91 ; 100000 (10^5) (1E+5) 100000
defb $00,$00,$24,$74,$94 ; 1000000 (10^6) (1E+6) 1000000
defb $00,$80,$96,$18,$98 ; 10000000 (10^7) (1E+7) 10000000
defb $00,$20,$bc,$3e,$9b ; 100000000 (10^8) (1E+8) 100000000
defb $00,$28,$6b,$6e,$9e ; 1000000000 (10^9) (1E+9) 1e+09
defb $00,$f9,$02,$15,$a2 ; 10000000000 (10^10) (1E+10) 1e+10
defb $40,$b7,$43,$3a,$a5 ; 100000000000 (10^11) (1E+11) 1e+11
defb $10,$a5,$d4,$68,$a8 ; 1000000000000 (10^12) (1E+12) 1e+12
_powers_of_10_constants_12: ;{{Addr=$3131 Data Calls/jump count: 0 Data use count: 1}}
defb $2a,$e7,$84,$11,$ac ; 10000000000000 (10^13) (1E+13) 1e+13
;;===========================================================================================
;; REAL init random number generator
;;Called (only) at start of BASIC ROM and at start of RANDOMIZE seed (below).
;;The data locations appear to store the last random number generated.
;;Possibly initialise/reset of random number generator?
REAL_init_random_number_generator:;{{Addr=$3136 Code Calls/jump count: 1 Data use count: 1}}
ld hl,$8965 ;{{3136:216589}}
ld (last_random_number),hl;{{3139:2202b1}}
ld hl,$6c07 ;{{313c:21076c}}
ld (C6_last_random_number),hl;{{313f:2200b1}}
ret ;{{3142:c9}}
;;============================================================================================
;; REAL: RANDOMIZE seed
REAL_RANDOMIZE_seed: ;{{Addr=$3143 Code Calls/jump count: 0 Data use count: 1}}
ex de,hl ;{{3143:eb}}
call REAL_init_random_number_generator;{{3144:cd3631}}
ex de,hl ;{{3147:eb}}
call REAL_SGN ;{{3148:cd2737}}
ret z ;{{314b:c8}}
ld de,C6_last_random_number;{{314c:1100b1}}
ld b,$04 ;{{314f:0604}}
_real_randomize_seed_7: ;{{Addr=$3151 Code Calls/jump count: 1 Data use count: 0}}
ld a,(de) ;{{3151:1a}}
xor (hl) ;{{3152:ae}}
ld (de),a ;{{3153:12}}
inc de ;{{3154:13}}
inc hl ;{{3155:23}}
djnz _real_randomize_seed_7;{{3156:10f9}} (-&07)
ret ;{{3158:c9}}
;;============================================================================================
;; REAL rnd
REAL_rnd: ;{{Addr=$3159 Code Calls/jump count: 0 Data use count: 1}}
push hl ;{{3159:e5}}
ld hl,(last_random_number);{{315a:2a02b1}}
ld bc,$6c07 ;{{315d:01076c}}
call _real_rnd0_7 ;{{3160:cd9c31}}
push hl ;{{3163:e5}}
ld hl,(C6_last_random_number);{{3164:2a00b1}}
ld bc,$8965 ;{{3167:016589}}
call _real_rnd0_7 ;{{316a:cd9c31}}
push de ;{{316d:d5}}
push hl ;{{316e:e5}}
ld hl,(last_random_number);{{316f:2a02b1}}
call _real_rnd0_7 ;{{3172:cd9c31}}
ex (sp),hl ;{{3175:e3}}
add hl,bc ;{{3176:09}}
ld (C6_last_random_number),hl;{{3177:2200b1}}
pop hl ;{{317a:e1}}
ld bc,$6c07 ;{{317b:01076c}}
adc hl,bc ;{{317e:ed4a}}
pop bc ;{{3180:c1}}
add hl,bc ;{{3181:09}}
pop bc ;{{3182:c1}}
add hl,bc ;{{3183:09}}
ld (last_random_number),hl;{{3184:2202b1}}
pop hl ;{{3187:e1}}
;;============================================================================================
;; REAL rnd0
REAL_rnd0: ;{{Addr=$3188 Code Calls/jump count: 0 Data use count: 1}}
push hl ;{{3188:e5}}
pop ix ;{{3189:dde1}}
ld hl,(C6_last_random_number);{{318b:2a00b1}}
ld de,(last_random_number);{{318e:ed5b02b1}}
ld bc,$0000 ;{{3192:010000}} ##LIT##;WARNING: Code area used as literal
ld (ix+$04),$80 ;{{3195:dd360480}}
jp _process_real_at_hl_13;{{3199:c3ac37}}
_real_rnd0_7: ;{{Addr=$319c Code Calls/jump count: 3 Data use count: 0}}
ex de,hl ;{{319c:eb}}
ld hl,$0000 ;{{319d:210000}} ##LIT##;WARNING: Code area used as literal
ld a,$11 ;{{31a0:3e11}}
_real_rnd0_10: ;{{Addr=$31a2 Code Calls/jump count: 3 Data use count: 0}}
dec a ;{{31a2:3d}}
ret z ;{{31a3:c8}}
add hl,hl ;{{31a4:29}}
rl e ;{{31a5:cb13}}
rl d ;{{31a7:cb12}}
jr nc,_real_rnd0_10 ;{{31a9:30f7}} (-&09)
add hl,bc ;{{31ab:09}}
jr nc,_real_rnd0_10 ;{{31ac:30f4}} (-&0c)
inc de ;{{31ae:13}}
jr _real_rnd0_10 ;{{31af:18f1}} (-&0f)
;;============================================================================================
;; REAL log10
REAL_log10: ;{{Addr=$31b1 Code Calls/jump count: 0 Data use count: 1}}
ld de,const_0301029996;{{31b1:112a32}}
jr _real_log_1 ;{{31b4:1803}} (+&03)
;;============================================================================================
;; REAL log
REAL_log: ;{{Addr=$31b6 Code Calls/jump count: 1 Data use count: 1}}
ld de,const_0693147181;{{31b6:112532}}
_real_log_1: ;{{Addr=$31b9 Code Calls/jump count: 1 Data use count: 0}}
call REAL_SGN ;{{31b9:cd2737}}
dec a ;{{31bc:3d}}
cp $01 ;{{31bd:fe01}}
ret nc ;{{31bf:d0}}
push de ;{{31c0:d5}}
call _real_division_121;{{31c1:cdd336}}
push af ;{{31c4:f5}}
ld (ix+$04),$80 ;{{31c5:dd360480}}
ld de,const_0707106781;{{31c9:112032}}
call REAL_compare ;{{31cc:cddf36}}
jr nc,_real_log_16 ;{{31cf:3006}} (+&06)
inc (ix+$04) ;{{31d1:dd3404}}
pop af ;{{31d4:f1}}
dec a ;{{31d5:3d}}
push af ;{{31d6:f5}}
_real_log_16: ;{{Addr=$31d7 Code Calls/jump count: 1 Data use count: 0}}
call REAL_copy_atHL_to_b10e_swapped;{{31d7:cd872f}}
push de ;{{31da:d5}}
ld de,ONE_const ;{{31db:11822f}}
push de ;{{31de:d5}}
call REAL_addition ;{{31df:cda234}}
pop de ;{{31e2:d1}}
ex (sp),hl ;{{31e3:e3}}
call x349a_code ;{{31e4:cd9a34}}
pop de ;{{31e7:d1}}
call REAL_division ;{{31e8:cd0436}}
call process_inline_parameters;{{31eb:cd4034}} Code takes inline parameter block
;Inline parameter block
defb $04 ;Parameter count
defb $4c,$4b,$57,$5e,$7f ; 0.434259751
defb $0d,$08,$9b,$13,$80 ; 0.576584342
defb $23,$93,$38,$76,$80 ; 0.961800762
defb $20,$3b,$aa,$38,$82 ; 2.88539007
;Return address
push de ;{{3203:d5}}
call REAL_multiplication;{{3204:cd7735}}
pop de ;{{3207:d1}}
ex (sp),hl ;{{3208:e3}}
ld a,h ;{{3209:7c}}
or a ;{{320a:b7}}
jp p,_real_log_41 ;{{320b:f21032}}
cpl ;{{320e:2f}}
inc a ;{{320f:3c}}
_real_log_41: ;{{Addr=$3210 Code Calls/jump count: 1 Data use count: 0}}
ld l,a ;{{3210:6f}}
ld a,h ;{{3211:7c}}
ld h,$00 ;{{3212:2600}}
call REAL_INT_to_real ;{{3214:cd9f2f}}
ex de,hl ;{{3217:eb}}
pop hl ;{{3218:e1}}
call REAL_addition ;{{3219:cda234}}
pop de ;{{321c:d1}}
jp REAL_multiplication;{{321d:c37735}}
;;= const 0_707106781
const_0707106781: ;{{Addr=$3220 Data Calls/jump count: 0 Data use count: 1}}
defb $34,$f3,$04,$35,$80 ; 0.707106781
;;= const 0_693147181
const_0693147181: ;{{Addr=$3225 Data Calls/jump count: 0 Data use count: 1}}
defb $f8,$17,$72,$31,$80 ; 0.693147181
;;= const 0_301029996
const_0301029996: ;{{Addr=$322a Data Calls/jump count: 0 Data use count: 1}}
defb $85,$9a,$20,$1a,$7f ; 0.301029996
;;============================================================================================
;; REAL exp
REAL_exp: ;{{Addr=$322f Code Calls/jump count: 1 Data use count: 1}}
ld b,$e1 ;{{322f:06e1}}
call x3492_code ;{{3231:cd9234}}
jp nc,REAL_ONE_to_DE ;{{3234:d27d2f}}
ld de,exp_constant_c ;{{3237:11a232}}
call REAL_compare ;{{323a:cddf36}}
jp p,REAL_at_IX_to_max_pos;{{323d:f2e837}}
ld de,exp_constant_d ;{{3240:11a732}}
call REAL_compare ;{{3243:cddf36}}
jp m,_process_real_at_hl_42;{{3246:fae237}}
ld de,exp_constant_b ;{{3249:119d32}}
call x3469_code ;{{324c:cd6934}}
ld a,e ;{{324f:7b}}
jp p,_real_exp_14 ;{{3250:f25532}}
neg ;{{3253:ed44}}
_real_exp_14: ;{{Addr=$3255 Code Calls/jump count: 1 Data use count: 0}}
push af ;{{3255:f5}}
call _real_addition_119;{{3256:cd7035}}
call _real_move_de_to_b10e_2;{{3259:cd8d2f}}
push de ;{{325c:d5}}
call _process_inline_parameters_1;{{325d:cd4334}} Code takes inline parameter block
;Inline parameter block
defb $03 ;Parameter count
defb $f4,$32,$eb,$0f,$73 ; 6.86258e-05
defb $08,$b8,$d5,$52,$7b ; 2.57367e-02
;;= exp constant a
exp_constant_a: ;{{Addr=$326b Data Calls/jump count: 0 Data use count: 3}}
defb $00,$00,$00,$00,$80 ; 0.5
;Return address
ex (sp),hl ;{{3270:e3}}
call _process_inline_parameters_1;{{3271:cd4334}} Code takes inline parameter block
;Inline parameter block
defb $02 ;parameter count
defb $09,$60,$de,$01,$78 ; 1.98164e-03
defb $f8,$17,$72,$31,$7e ; 0.173286795
;Return address
call REAL_multiplication;{{32ff:cd7735}}
pop de ;{{3282:d1}}
push hl ;{{3283:e5}}
ex de,hl ;{{3284:eb}}
call x349a_code ;{{3285:cd9a34}}
ex de,hl ;{{3288:eb}}
pop hl ;{{3289:e1}}
call REAL_division ;{{328a:cd0436}}
ld de,exp_constant_a ;{{328d:116b32}}
call REAL_addition ;{{3290:cda234}}
pop af ;{{3293:f1}}
scf ;{{3294:37}}
adc a,(ix+$04) ;{{3295:dd8e04}}
ld (ix+$04),a ;{{3298:dd7704}}
scf ;{{329b:37}}
ret ;{{329c:c9}}
;;= exp constant b
exp_constant_b: ;{{Addr=$329d Data Calls/jump count: 0 Data use count: 1}}
defb $29,$3b,$aa,$38,$81 ; 1.44269504
;;= exp constant c
exp_constant_c: ;{{Addr=$32a2 Data Calls/jump count: 0 Data use count: 1}}
defb $c7,$33,$0f,$30,$87 ; 88.0296919
;;= exp constant d
exp_constant_d: ;{{Addr=$32a7 Data Calls/jump count: 0 Data use count: 1}}
defb $f8,$17,$72,$b1,$87 ; -88.7228391
;;============================================================================================
;; REAL sqr
REAL_sqr: ;{{Addr=$32ac Code Calls/jump count: 0 Data use count: 1}}
ld de,exp_constant_a ;{{32ac:116b32}}
;;============================================================================================
;; REAL power
REAL_power: ;{{Addr=$32af Code Calls/jump count: 0 Data use count: 1}}
ex de,hl ;{{32af:eb}}
call REAL_SGN ;{{32b0:cd2737}}
ex de,hl ;{{32b3:eb}}
jp z,REAL_ONE_to_DE ;{{32b4:ca7d2f}}
push af ;{{32b7:f5}}
call REAL_SGN ;{{32b8:cd2737}}
jr z,_real_power_29 ;{{32bb:2825}} (+&25)
ld b,a ;{{32bd:47}}
call m,_real_negate_2 ;{{32be:fc3437}}
push hl ;{{32c1:e5}}
call _real_power_72 ;{{32c2:cd2433}}
pop hl ;{{32c5:e1}}
jr c,_real_power_38 ;{{32c6:3825}} (+&25)
ex (sp),hl ;{{32c8:e3}}
pop hl ;{{32c9:e1}}
jp m,_real_power_35 ;{{32ca:faea32}}
push bc ;{{32cd:c5}}
push de ;{{32ce:d5}}
call REAL_log ;{{32cf:cdb631}}
pop de ;{{32d2:d1}}
call c,REAL_multiplication;{{32d3:dc7735}}
call c,REAL_exp ;{{32d6:dc2f32}}
_real_power_22: ;{{Addr=$32d9 Code Calls/jump count: 1 Data use count: 0}}
pop bc ;{{32d9:c1}}
ret nc ;{{32da:d0}}
ld a,b ;{{32db:78}}
or a ;{{32dc:b7}}
call m,REAL_Negate ;{{32dd:fc3137}}
scf ;{{32e0:37}}
ret ;{{32e1:c9}}
_real_power_29: ;{{Addr=$32e2 Code Calls/jump count: 1 Data use count: 0}}
pop af ;{{32e2:f1}}
scf ;{{32e3:37}}
ret p ;{{32e4:f0}}
call REAL_at_IX_to_max_pos;{{32e5:cde837}}
xor a ;{{32e8:af}}
ret ;{{32e9:c9}}
_real_power_35: ;{{Addr=$32ea Code Calls/jump count: 1 Data use count: 0}}
xor a ;{{32ea:af}}
inc a ;{{32eb:3c}}
ret ;{{32ec:c9}}
_real_power_38: ;{{Addr=$32ed Code Calls/jump count: 1 Data use count: 0}}
ld c,a ;{{32ed:4f}}
pop af ;{{32ee:f1}}
push bc ;{{32ef:c5}}
push af ;{{32f0:f5}}
ld a,c ;{{32f1:79}}
scf ;{{32f2:37}}
_real_power_44: ;{{Addr=$32f3 Code Calls/jump count: 1 Data use count: 0}}
adc a,a ;{{32f3:8f}}
jr nc,_real_power_44 ;{{32f4:30fd}} (-&03)
ld b,a ;{{32f6:47}}
call _real_move_de_to_b10e_2;{{32f7:cd8d2f}}
ex de,hl ;{{32fa:eb}}
ld a,b ;{{32fb:78}}
_real_power_50: ;{{Addr=$32fc Code Calls/jump count: 2 Data use count: 0}}
add a,a ;{{32fc:87}}
jr z,_real_power_63 ;{{32fd:2815}} (+&15)
push af ;{{32ff:f5}}
call _real_addition_119;{{3300:cd7035}}
jr nc,_real_power_67 ;{{3303:3016}} (+&16)
pop af ;{{3305:f1}}
jr nc,_real_power_50 ;{{3306:30f4}} (-&0c)
push af ;{{3308:f5}}
ld de,internal_REAL_store_1;{{3309:1104b1}}
call REAL_multiplication;{{330c:cd7735}}
jr nc,_real_power_67 ;{{330f:300a}} (+&0a)
pop af ;{{3311:f1}}
jr _real_power_50 ;{{3312:18e8}} (-&18)
_real_power_63: ;{{Addr=$3314 Code Calls/jump count: 1 Data use count: 0}}
pop af ;{{3314:f1}}
scf ;{{3315:37}}
call m,_real_multiplication_72;{{3316:fcfb35}}
jr _real_power_22 ;{{3319:18be}} (-&42)
_real_power_67: ;{{Addr=$331b Code Calls/jump count: 2 Data use count: 0}}
pop af ;{{331b:f1}}
pop af ;{{331c:f1}}
pop bc ;{{331d:c1}}
jp m,_process_real_at_hl_42;{{331e:fae237}}
jp REAL_at_IX_to_max_pos_or_max_neg;{{3321:c3ea37}}
_real_power_72: ;{{Addr=$3324 Code Calls/jump count: 1 Data use count: 0}}
push bc ;{{3324:c5}}
call REAL_move_DE_to_b10e;{{3325:cd882f}}
call REAL_fix ;{{3328:cd1430}}
ld a,c ;{{332b:79}}
pop bc ;{{332c:c1}}
jr nc,_real_power_79 ;{{332d:3002}} (+&02)
jr z,_real_power_82 ;{{332f:2803}} (+&03)
_real_power_79: ;{{Addr=$3331 Code Calls/jump count: 1 Data use count: 0}}
ld a,b ;{{3331:78}}
or a ;{{3332:b7}}
ret ;{{3333:c9}}
_real_power_82: ;{{Addr=$3334 Code Calls/jump count: 1 Data use count: 0}}
ld c,a ;{{3334:4f}}
ld a,(hl) ;{{3335:7e}}
rra ;{{3336:1f}}
sbc a,a ;{{3337:9f}}
and b ;{{3338:a0}}
ld b,a ;{{3339:47}}
ld a,c ;{{333a:79}}
cp $02 ;{{333b:fe02}}
sbc a,a ;{{333d:9f}}
ret nc ;{{333e:d0}}
ld a,(hl) ;{{333f:7e}}
cp $27 ;{{3340:fe27}}
ret c ;{{3342:d8}}
xor a ;{{3343:af}}
ret ;{{3344:c9}}
;;============================================================================================
;; REAL set degrees or radians
REAL_set_degrees_or_radians: ;{{Addr=$3345 Code Calls/jump count: 0 Data use count: 1}}
ld (DEG__RAD_flag_),a;{{3345:3213b1}}
ret ;{{3348:c9}}
;;============================================================================================
;; REAL cosine
REAL_cosine: ;{{Addr=$3349 Code Calls/jump count: 1 Data use count: 1}}
call REAL_SGN ;{{3349:cd2737}}
call m,_real_negate_2 ;{{334c:fc3437}}
or $01 ;{{334f:f601}}
jr _real_sin_1 ;{{3351:1801}} (+&01)
;;============================================================================================
;; REAL sin
REAL_sin: ;{{Addr=$3353 Code Calls/jump count: 1 Data use count: 1}}
xor a ;{{3353:af}}
_real_sin_1: ;{{Addr=$3354 Code Calls/jump count: 1 Data use count: 0}}
push af ;{{3354:f5}}
ld de,sin_constant_b ;{{3355:11b433}}
ld b,$f0 ;{{3358:06f0}}
ld a,(DEG__RAD_flag_);{{335a:3a13b1}}
or a ;{{335d:b7}}
jr z,_real_sin_9 ;{{335e:2805}} (+&05)
ld de,sin_constant_c ;{{3360:11b933}}
ld b,$f6 ;{{3363:06f6}}
_real_sin_9: ;{{Addr=$3365 Code Calls/jump count: 1 Data use count: 0}}
call x3492_code ;{{3365:cd9234}}
jr nc,_sin_code_block_2_1;{{3368:303a}} (+&3a)
pop af ;{{336a:f1}}
call x346a_code ;{{336b:cd6a34}}
ret nc ;{{336e:d0}}
ld a,e ;{{336f:7b}}
rra ;{{3370:1f}}
call c,_real_negate_2 ;{{3371:dc3437}}
ld b,$e8 ;{{3374:06e8}}
call x3492_code ;{{3376:cd9234}}
jp nc,_process_real_at_hl_42;{{3379:d2e237}}
inc (ix+$04) ;{{337c:dd3404}}
call process_inline_parameters;{{337f:cd4034}} Code pops parameter block address from stack
;Inline parameter block
defb $06 ;Parameter count (6)
defb $1b,$2d,$1a,$e6,$6e ; -3.42879e-06
defb $f8,$fb,$07,$28,$74 ; 1.60247e-04
defb $01,$89,$68,$99,$79 ; -4.68165e-03
defb $e1,$df,$35,$23,$7d ; 7.96926e-02
defb $28,$e7,$5d,$a5,$80 ; -0.645964095
;;=sin constant a
sin_constant_a: ;{{Addr=$339c Data Calls/jump count: 0 Data use count: 1}}
defb $a2,$da,$0f,$49,$81 ; 1.57079633
;;=Sin code block 2
;Code returns here
jp REAL_multiplication;{{33a1:c37735}}
_sin_code_block_2_1: ;{{Addr=$33a4 Code Calls/jump count: 1 Data use count: 0}}
pop af ;{{33a4:f1}}
jp nz,REAL_ONE_to_DE ;{{33a5:c27d2f}}
ld a,(DEG__RAD_flag_);{{33a8:3a13b1}}
cp $01 ;{{33ab:fe01}}
ret c ;{{33ad:d8}}
ld de,sin_constant_d ;{{33ae:11be33}}
jp REAL_multiplication;{{33b1:c37735}}
;;=sin constant b
sin_constant_b: ;{{Addr=$33b4 Data Calls/jump count: 0 Data use count: 1}}
defb $6e,$83,$f9,$22,$7f ; 0.318309886
;;=sin constant c
sin_constant_c: ;{{Addr=$33b9 Data Calls/jump count: 0 Data use count: 1}}
defb $b6,$60,$0b,$36,$79 ; 5.55556e-03
;;=sin constant d
sin_constant_d: ;{{Addr=$33be Data Calls/jump count: 0 Data use count: 1}}
defb $13,$35,$fa,$0e,$7b ; 1.74533e-02
;;=sin constant e
sin_constant_e: ;{{Addr=$33c3 Data Calls/jump count: 0 Data use count: 1}}
defb $d3,$e0,$2e,$65,$86 ; 57.2957795
;;============================================================================================
;; REAL tan
REAL_tan: ;{{Addr=$33c8 Code Calls/jump count: 0 Data use count: 1}}
call _real_move_de_to_b10e_2;{{33c8:cd8d2f}}
push de ;{{33cb:d5}}
call REAL_cosine ;{{33cc:cd4933}}
ex (sp),hl ;{{33cf:e3}}
call c,REAL_sin ;{{33d0:dc5333}}
pop de ;{{33d3:d1}}
jp c,REAL_division ;{{33d4:da0436}}
ret ;{{33d7:c9}}
;;============================================================================================
;; REAL arctan
REAL_arctan: ;{{Addr=$33d8 Code Calls/jump count: 0 Data use count: 1}}
call REAL_SGN ;{{33d8:cd2737}}
push af ;{{33db:f5}}
call m,_real_negate_2 ;{{33dc:fc3437}}
ld b,$f0 ;{{33df:06f0}}
call x3492_code ;{{33e1:cd9234}}
jr nc,_real_arctan_26;{{33e4:304a}} (+&4a)
dec a ;{{33e6:3d}}
push af ;{{33e7:f5}}
call p,_real_multiplication_72;{{33e8:f4fb35}}
call process_inline_parameters;{{33eb:cd4034}} Code which takes an inline parameter block
;Inline paremeter blcok, address retrieved from the call stack
defb $0b ;Parameter count (11)
defb $ff,$c1,$03,$0f,$77 ; 1.09112e-03
defb $83,$fc,$e8,$eb,$79 ; -0.007199405
defb $6f,$ca,$78,$36,$7b ; 2.22744e-02
defb $d5,$3e,$b0,$b5,$7c ; -4.43575e-02
defb $b0,$c1,$8b,$09,$7d ; 6.71611e-02
defb $af,$e8,$32,$b4,$7d ; -8.79877e-02
defb $74,$6c,$65,$62,$7d ; 0.110545013
defb $d1,$f5,$37,$92,$7e ; -0.142791596
defb $7a,$c3,$cb,$4c,$7e ; 0.199996046
defb $83,$a7,$aa,$aa,$7f ; -0.333333239
defb $fe,$ff,$ff,$7f,$80 ; 1
call REAL_multiplication;{{3426:cd7735}} Return address after data block
pop af ;{{3429:f1}}
ld de,sin_constant_a ;{{342a:119c33}}
call p,REAL_reverse_subtract;{{342d:f49e34}}
_real_arctan_26: ;{{Addr=$3430 Code Calls/jump count: 1 Data use count: 0}}
ld a,(DEG__RAD_flag_);{{3430:3a13b1}}
or a ;{{3433:b7}}
ld de,sin_constant_e ;{{3434:11c333}}
call nz,REAL_multiplication;{{3437:c47735}}
pop af ;{{343a:f1}}
call m,_real_negate_2 ;{{343b:fc3437}}
scf ;{{343e:37}}
ret ;{{343f:c9}}
;;=====================================================
;; process inline parameters
;This code takes a list of parameters starting at the next byte after the call.
;It pops the return value off the stack, reads in the values, and eventually returns
;to the address after the data block.
;The first byte of the data block is the count of the number of parameters. Each
;parameter is five bytes long (a real).
process_inline_parameters: ;{{Addr=$3440 Code Calls/jump count: 3 Data use count: 0}}
call _real_addition_119;{{3440:cd7035}}
_process_inline_parameters_1: ;{{Addr=$3443 Code Calls/jump count: 2 Data use count: 0}}
call REAL_copy_atHL_to_b10e_swapped;{{3443:cd872f}}
pop hl ;{{3446:e1}} Pop the return address/address of data block
ld b,(hl) ;{{3447:46}} Parameter count
inc hl ;{{3448:23}} First parameter
call REAL_copy_atHL_to_atDE_swapped;{{3449:cd902f}}
_process_inline_parameters_6: ;{{Addr=$344c Code Calls/jump count: 1 Data use count: 0}}
inc de ;{{344c:13}} Advance to next parameter
inc de ;{{344d:13}}
inc de ;{{344e:13}}
inc de ;{{344f:13}}
inc de ;{{3450:13}}
push de ;{{3451:d5}} Possible return address
ld de,internal_REAL_store_2;{{3452:1109b1}}
dec b ;{{3455:05}}
ret z ;{{3456:c8}}
push bc ;{{3457:c5}}
ld de,internal_REAL_store_3;{{3458:110eb1}}
call REAL_multiplication;{{345b:cd7735}}
pop bc ;{{345e:c1}}
pop de ;{{345f:d1}} Get back address of next parameter
push de ;{{3460:d5}}
push bc ;{{3461:c5}}
call REAL_addition ;{{3462:cda234}}
pop bc ;{{3465:c1}}
pop de ;{{3466:d1}}
jr _process_inline_parameters_6;{{3467:18e3}} (-&1d)
;;=======================================================
x3469_code: ;{{Addr=$3469 Code Calls/jump count: 1 Data use count: 0}}
xor a ;{{3469:af}}
x346a_code: ;{{Addr=$346a Code Calls/jump count: 1 Data use count: 0}}
push af ;{{346a:f5}}
call REAL_multiplication;{{346b:cd7735}}
pop af ;{{346e:f1}}
ld de,exp_constant_a ;{{346f:116b32}}
call nz,REAL_addition ;{{3472:c4a234}}
push hl ;{{3475:e5}}
call REAL_to_int ;{{3476:cdd92f}}
jr nc,x348e_code ;{{3479:3013}} (+&13)
pop de ;{{347b:d1}}
push hl ;{{347c:e5}}
push af ;{{347d:f5}}
push de ;{{347e:d5}}
ld de,internal_REAL_store_2;{{347f:1109b1}}
call REAL_INT_to_real ;{{3482:cd9f2f}}
ex de,hl ;{{3485:eb}}
pop hl ;{{3486:e1}}
call x349a_code ;{{3487:cd9a34}}
pop af ;{{348a:f1}}
pop de ;{{348b:d1}}
scf ;{{348c:37}}
ret ;{{348d:c9}}
x348e_code: ;{{Addr=$348e Code Calls/jump count: 1 Data use count: 0}}
pop hl ;{{348e:e1}}
xor a ;{{348f:af}}
inc a ;{{3490:3c}}
ret ;{{3491:c9}}
x3492_code: ;{{Addr=$3492 Code Calls/jump count: 4 Data use count: 0}}
call _real_division_121;{{3492:cdd336}}
ret p ;{{3495:f0}}
cp b ;{{3496:b8}}
ret z ;{{3497:c8}}
ccf ;{{3498:3f}}
ret ;{{3499:c9}}
x349a_code: ;{{Addr=$349a Code Calls/jump count: 3 Data use count: 0}}
ld a,$01 ;{{349a:3e01}}
jr _real_addition_1 ;{{349c:1805}} (+&05)
;;============================================================================================
;; REAL reverse subtract
REAL_reverse_subtract: ;{{Addr=$349e Code Calls/jump count: 1 Data use count: 1}}
ld a,$80 ;{{349e:3e80}}
jr _real_addition_1 ;{{34a0:1801}} (+&01)
;;============================================================================================
;; REAL addition
REAL_addition: ;{{Addr=$34a2 Code Calls/jump count: 5 Data use count: 1}}
xor a ;{{34a2:af}}
; A = function, &00, &01 or &80
_real_addition_1: ;{{Addr=$34a3 Code Calls/jump count: 2 Data use count: 0}}
push hl ;{{34a3:e5}}
pop ix ;{{34a4:dde1}}
push de ;{{34a6:d5}}
pop iy ;{{34a7:fde1}}
ld b,(ix+$03) ;{{34a9:dd4603}}