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Retro68/gcc/libgcc/config/rl78/fpmath-sf.S
Wolfgang Thaller 41040e16f5 Update gcc to 5.2.0
2015-08-28 17:33:40 +02:00

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; SF format is:
;
; [sign] 1.[23bits] E[8bits(n-127)]
;
; SEEEEEEE Emmmmmmm mmmmmmmm mmmmmmmm
;
; [A+0] mmmmmmmm
; [A+1] mmmmmmmm
; [A+2] Emmmmmmm
; [A+3] SEEEEEEE
;
; Special values (xxx != 0):
;
; r11 r10 r9 r8
; [HL+3] [HL+2] [HL+1] [HL+0]
; s1111111 10000000 00000000 00000000 infinity
; s1111111 1xxxxxxx xxxxxxxx xxxxxxxx NaN
; s0000000 00000000 00000000 00000000 zero
; s0000000 0xxxxxxx xxxxxxxx xxxxxxxx denormals
;
; Note that CMPtype is "signed char" for rl78
;
#include "vregs.h"
#define Z PSW.6
; External Functions:
;
; __int_isnan [HL] -> Z if NaN
; __int_iszero [HL] -> Z if zero
START_FUNC __int_isinf
;; [HL] points to value, returns Z if it's #Inf
mov a, [hl+2]
and a, #0x80
mov x, a
mov a, [hl+3]
and a, #0x7f
cmpw ax, #0x7f80
skz
ret ; return NZ if not NaN
mov a, [hl+2]
and a, #0x7f
or a, [hl+1]
or a, [hl]
ret
END_FUNC __int_isinf
#define A_SIGN [hl+0] /* byte */
#define A_EXP [hl+2] /* word */
#define A_FRAC_L [hl+4] /* word */
#define A_FRAC_LH [hl+5] /* byte */
#define A_FRAC_H [hl+6] /* word or byte */
#define A_FRAC_HH [hl+7] /* byte */
#define B_SIGN [hl+8]
#define B_EXP [hl+10]
#define B_FRAC_L [hl+12]
#define B_FRAC_LH [hl+13]
#define B_FRAC_H [hl+14]
#define B_FRAC_HH [hl+15]
START_FUNC _int_unpack_sf
;; convert 32-bit SFmode [DE] to 6-byte struct [HL] ("A")
mov a, [de+3]
sar a, 7
mov A_SIGN, a
movw ax, [de+2]
and a, #0x7f
shrw ax, 7
movw bc, ax ; remember if the exponent is all zeros
subw ax, #127 ; exponent is now non-biased
movw A_EXP, ax
movw ax, [de]
movw A_FRAC_L, ax
mov a, [de+2]
and a, #0x7f
cmp0 c ; if the exp is all zeros, it's denormal
skz
or a, #0x80
mov A_FRAC_H, a
mov a, #0
mov A_FRAC_HH, a
;; rounding-bit-shift
movw ax, A_FRAC_L
shlw ax, 1
movw A_FRAC_L, ax
mov a, A_FRAC_H
rolc a, 1
mov A_FRAC_H, a
mov a, A_FRAC_HH
rolc a, 1
mov A_FRAC_HH, a
ret
END_FUNC _int_unpack_sf
; func(SF a,SF b)
; [SP+4..7] a
; [SP+8..11] b
START_FUNC ___subsf3
;; a - b => a + (-b)
;; Note - we cannot just change the sign of B on the stack and
;; then fall through into __addsf3. The stack'ed value may be
;; used again (it was created by our caller after all). Instead
;; we have to allocate some stack space of our own, copy A and B,
;; change the sign of B, call __addsf3, release the allocated stack
;; and then return.
subw sp, #8
movw ax, [sp+4+8]
movw [sp], ax
movw ax, [sp+4+2+8]
movw [sp+2], ax
movw ax, [sp+4+4+8]
movw [sp+4], ax
mov a, [sp+4+6+8]
mov [sp+6], a
mov a, [sp+4+7+8]
xor a, #0x80
mov [sp+7], a
call $!___addsf3
addw sp, #8
ret
END_FUNC ___subsf3
START_FUNC ___addsf3
;; if (isnan(a)) return a
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_isnan
bnz $1f
ret_a:
movw ax, [sp+4]
movw r8, ax
movw ax, [sp+6]
movw r10, ax
ret
1: ;; if (isnan (b)) return b;
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_isnan
bnz $2f
ret_b:
movw ax, [sp+8]
movw r8, ax
movw ax, [sp+10]
movw r10, ax
ret
2: ;; if (isinf (a))
movw ax, sp
addw ax, #4
movw hl, ax
call $!__int_isinf
bnz $3f
;; if (isinf (b) && a->sign != b->sign) return NaN
movw ax, sp
addw ax, #8
movw hl, ax
call $!__int_isinf
bnz $ret_a
mov a, [sp+7]
mov h, a
mov a, [sp+11]
xor a, h
bf a.7, $ret_a
movw r8, #0x0001
movw r10, #0x7f80
ret
3: ;; if (isinf (b)) return b;
movw ax, sp
addw ax, #8
movw hl, ax
call $!__int_isinf
bz $ret_b
;; if (iszero (b))
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_iszero
bnz $4f
;; if (iszero (a))
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_iszero
bnz $ret_a
movw ax, [sp+4]
movw r8, ax
mov a, [sp+7]
mov h, a
movw ax, [sp+10]
and a, h
movw r10, ax
ret
4: ;; if (iszero (a)) return b;
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_iszero
bz $ret_b
; Normalize the two numbers relative to each other. At this point,
; we need the numbers converted to their "unpacked" format.
subw sp, #16 ; Save room for two unpacked values.
movw ax, sp
movw hl, ax
addw ax, #16+4
movw de, ax
call $!_int_unpack_sf
movw ax, sp
addw ax, #8
movw hl, ax
addw ax, #16+8-8
movw de, ax
call $!_int_unpack_sf
movw ax, sp
movw hl, ax
;; diff = a.exponent - b.exponent
movw ax, B_EXP ; sign/exponent word
movw bc, ax
movw ax, A_EXP ; sign/exponent word
subw ax, bc ; a = a.exp - b.exp
movw de, ax ; d = sdiff
;; if (diff < 0) diff = -diff
bf a.7, $1f
xor a, #0xff
xor r_0, #0xff ; x
incw ax ; a = diff
1:
;; if (diff >= 23) zero the smaller one
cmpw ax, #24
bc $.L661 ; if a < 23 goto 661
;; zero out the smaller one
movw ax, de
bt a.7, $1f ; if sdiff < 0 (a_exp < b_exp) goto 1f
;; "zero out" b
movw ax, A_EXP
movw B_EXP, ax
movw ax, #0
movw B_FRAC_L, ax
movw B_FRAC_H, ax
br $5f
1:
;; "zero out" a
movw ax, B_EXP
movw A_EXP, ax
movw ax, #0
movw A_FRAC_L, ax
movw A_FRAC_H, ax
br $5f
.L661:
;; shift the smaller one so they have the same exponents
1:
movw ax, de
bt a.7, $1f
cmpw ax, #0 ; sdiff > 0
bnh $1f ; if (sdiff <= 0) goto 1f
decw de
incw B_EXP ; because it's [HL+byte]
movw ax, B_FRAC_H
shrw ax, 1
movw B_FRAC_H, ax
mov a, B_FRAC_LH
rorc a, 1
mov B_FRAC_LH, a
mov a, B_FRAC_L
rorc a, 1
mov B_FRAC_L, a
br $1b
1:
movw ax, de
bf a.7, $1f
incw de
incw A_EXP ; because it's [HL+byte]
movw ax, A_FRAC_H
shrw ax, 1
movw A_FRAC_H, ax
mov a, A_FRAC_LH
rorc a, 1
mov A_FRAC_LH, a
mov a, A_FRAC_L
rorc a, 1
mov A_FRAC_L, a
br $1b
1:
5: ;; At this point, A and B have the same exponent.
mov a, A_SIGN
cmp a, B_SIGN
bnz $1f
;; Same sign, just add.
movw ax, A_FRAC_L
addw ax, B_FRAC_L
movw A_FRAC_L, ax
mov a, A_FRAC_H
addc a, B_FRAC_H
mov A_FRAC_H, a
mov a, A_FRAC_HH
addc a, B_FRAC_HH
mov A_FRAC_HH, a
br $.L728
1: ;; Signs differ - A has A_SIGN still.
bf a.7, $.L696
;; A is negative, do B-A
movw ax, B_FRAC_L
subw ax, A_FRAC_L
movw A_FRAC_L, ax
mov a, B_FRAC_H
subc a, A_FRAC_H
mov A_FRAC_H, a
mov a, B_FRAC_HH
subc a, A_FRAC_HH
mov A_FRAC_HH, a
br $.L698
.L696:
;; B is negative, do A-B
movw ax, A_FRAC_L
subw ax, B_FRAC_L
movw A_FRAC_L, ax
mov a, A_FRAC_H
subc a, B_FRAC_H
mov A_FRAC_H, a
mov a, A_FRAC_HH
subc a, B_FRAC_HH
mov A_FRAC_HH, a
.L698:
;; A is still A_FRAC_HH
bt a.7, $.L706
;; subtraction was positive
mov a, #0
mov A_SIGN, a
br $.L712
.L706:
;; subtraction was negative
mov a, #0xff
mov A_SIGN, a
;; This negates A_FRAC
mov a, A_FRAC_L
xor a, #0xff ; XOR doesn't mess with carry
add a, #1 ; INC doesn't set the carry
mov A_FRAC_L, a
mov a, A_FRAC_LH
xor a, #0xff
addc a, #0
mov A_FRAC_LH, a
mov a, A_FRAC_H
xor a, #0xff
addc a, #0
mov A_FRAC_H, a
mov a, A_FRAC_HH
xor a, #0xff
addc a, #0
mov A_FRAC_HH, a
.L712:
;; Renormalize the subtraction
mov a, A_FRAC_L
or a, A_FRAC_LH
or a, A_FRAC_H
or a, A_FRAC_HH
bz $.L728
;; Mantissa is not zero, left shift until the MSB is in the
;; right place
1:
movw ax, A_FRAC_H
cmpw ax, #0x0200
bnc $.L728
decw A_EXP
movw ax, A_FRAC_L
shlw ax, 1
movw A_FRAC_L, ax
movw ax, A_FRAC_H
rolwc ax, 1
movw A_FRAC_H, ax
br $1b
.L728:
;; normalize A and pack it
movw ax, A_FRAC_H
cmpw ax, #0x01ff
bnh $1f
;; overflow in the mantissa; adjust
movw ax, A_FRAC_H
shrw ax, 1
movw A_FRAC_H, ax
mov a, A_FRAC_LH
rorc a, 1
mov A_FRAC_LH, a
mov a, A_FRAC_L
rorc a, 1
mov A_FRAC_L, a
incw A_EXP
1:
call $!__rl78_int_pack_a_r8
addw sp, #16
ret
END_FUNC ___addsf3
START_FUNC __rl78_int_pack_a_r8
;; pack A to R8
movw ax, A_EXP
addw ax, #126 ; not 127, we want the "bt/bf" test to check for denormals
bf a.7, $1f
;; make a denormal
2:
movw bc, ax
movw ax, A_FRAC_H
shrw ax, 1
movw A_FRAC_H, ax
mov a, A_FRAC_LH
rorc a, 1
mov A_FRAC_LH, a
mov a, A_FRAC_L
rorc a, 1
mov A_FRAC_L, a
movw ax, bc
incw ax
bt a.7, $2b
decw ax
1:
incw ax ; now it's as if we added 127
movw A_EXP, ax
cmpw ax, #0xfe
bnh $1f
;; store #Inf instead
mov a, A_SIGN
or a, #0x7f
mov x, #0x80
movw r10, ax
movw r8, #0
ret
1:
bf a.7, $1f ; note AX has EXP at top of loop
;; underflow, denormal?
movw ax, A_FRAC_H
shrw ax, 1
movw A_FRAC_H, ax
mov a, A_FRAC_LH
rorc a, 1
movw A_FRAC_LH, ax
mov a, A_FRAC_L
rorc a, 1
movw A_FRAC_L, ax
incw A_EXP
movw ax, A_EXP
br $1b
1:
;; undo the rounding-bit-shift
mov a, A_FRAC_L
bf a.0, $1f
;; round up
movw ax, A_FRAC_L
addw ax, #1
movw A_FRAC_L, ax
bnc $1f
incw A_FRAC_H
;; If the rounding set the bit beyond the end of the fraction, increment the exponent.
mov a, A_FRAC_HH
bf a.1, $1f
incw A_EXP
1:
movw ax, A_FRAC_H
shrw ax, 1
movw A_FRAC_H, ax
mov a, A_FRAC_LH
rorc a, 1
mov A_FRAC_LH, a
mov a, A_FRAC_L
rorc a, 1
mov A_FRAC_L, a
movw ax, A_FRAC_L
movw r8, ax
or a, x
or a, A_FRAC_H
or a, A_FRAC_HH
bnz $1f
movw ax, #0
movw A_EXP, ax
1:
mov a, A_FRAC_H
and a, #0x7f
mov b, a
mov a, A_EXP
shl a, 7
or a, b
mov r10, a
mov a, A_SIGN
and a, #0x80
mov b, a
mov a, A_EXP
shr a, 1
or a, b
mov r11, a
ret
END_FUNC __rl78_int_pack_a_r8
START_FUNC ___mulsf3
;; if (isnan(a)) return a
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_isnan
bnz $1f
mret_a:
movw ax, [sp+4]
movw r8, ax
mov a, [sp+11]
and a, #0x80
mov b, a
movw ax, [sp+6]
xor a, b ; sign is always a ^ b
movw r10, ax
ret
1:
;; if (isnan (b)) return b;
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_isnan
bnz $1f
mret_b:
movw ax, [sp+8]
movw r8, ax
mov a, [sp+7]
and a, #0x80
mov b, a
movw ax, [sp+10]
xor a, b ; sign is always a ^ b
movw r10, ax
ret
1:
;; if (isinf (a)) return (b==0) ? nan : a
movw ax, sp
addw ax, #4
movw hl, ax
call $!__int_isinf
bnz $.L805
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_iszero
bnz $mret_a
movw r8, #0x0001 ; return NaN
movw r10, #0x7f80
ret
.L805:
;; if (isinf (b)) return (a==0) ? nan : b
movw ax, sp
addw ax, #8
movw hl, ax
call $!__int_isinf
bnz $.L814
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_iszero
bnz $mret_b
movw r8, #0x0001 ; return NaN
movw r10, #0x7f80
ret
.L814:
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_iszero
bz $mret_a
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_iszero
bz $mret_b
;; at this point, we're doing the multiplication.
subw sp, #16 ; save room for two unpacked values
movw ax, sp
movw hl, ax
addw ax, #16+4
movw de, ax
call $!_int_unpack_sf
movw ax, sp
addw ax, #8
movw hl, ax
addw ax, #16+8-8
movw de, ax
call $!_int_unpack_sf
movw ax, sp
movw hl, ax
;; multiply SI a.FRAC * SI b.FRAC to DI r8
subw sp, #16
movw ax, A_FRAC_L
movw [sp+0], ax
movw ax, A_FRAC_H
movw [sp+2], ax
movw ax, B_FRAC_L
movw [sp+8], ax
movw ax, B_FRAC_H
movw [sp+10], ax
movw ax, #0
movw [sp+4], ax
movw [sp+6], ax
movw [sp+12], ax
movw [sp+14], ax
call !!___muldi3 ; MTMPa * MTMPb -> R8..R15
addw sp, #16
movw ax, sp
movw hl, ax
;; add the exponents together
movw ax, A_EXP
addw ax, B_EXP
movw bc, ax ; exponent in BC
;; now, re-normalize the DI value in R8..R15 to have the
;; MSB in the "right" place, adjusting BC as we shift it.
;; The value will normally be in this range:
;; R15 R8
;; 0001_0000_0000_0000
;; 0003_ffff_fc00_0001
;; so to speed it up, we normalize to:
;; 0001_xxxx_xxxx_xxxx
;; then extract the bytes we want (r11-r14)
1:
mov a, r15
cmp0 a
bnz $2f
mov a, r14
and a, #0xfe
bz $1f
2:
;; shift right, inc exponent
movw ax, r14
shrw ax, 1
movw r14, ax
mov a, r13
rorc a, 1
mov r13, a
mov a, r12
rorc a, 1
mov r12, a
mov a, r11
rorc a, 1
mov r11, a
;; we don't care about r8/r9/r10 if we're shifting this way
incw bc
br $1b
1:
mov a, r15
or a, r14
bnz $1f
;; shift left, dec exponent
movw ax, r8
shlw ax, 1
movw r8, ax
movw ax, r10
rolwc ax, 1
movw r10, ax
movw ax, r12
rolwc ax, 1
movw r12, ax
movw ax, r14
rolwc ax, 1
movw r14, ax
decw bc
br $1b
1:
;; at this point, FRAC is in R11..R14 and EXP is in BC
movw ax, bc
movw A_EXP, ax
mov a, r11
mov A_FRAC_L, a
mov a, r12
mov A_FRAC_LH, a
mov a, r13
mov A_FRAC_H, a
mov a, r14
mov A_FRAC_HH, a
mov a, A_SIGN
xor a, B_SIGN
mov A_SIGN, a
call $!__rl78_int_pack_a_r8
addw sp, #16
ret
END_FUNC ___mulsf3
START_FUNC ___divsf3
;; if (isnan(a)) return a
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_isnan
bnz $1f
dret_a:
movw ax, [sp+4]
movw r8, ax
mov a, [sp+11]
and a, #0x80
mov b, a
movw ax, [sp+6]
xor a, b ; sign is always a ^ b
movw r10, ax
ret
1:
;; if (isnan (b)) return b;
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_isnan
bnz $1f
dret_b:
movw ax, [sp+8]
movw r8, ax
mov a, [sp+7]
and a, #0x80
mov b, a
movw ax, [sp+10]
xor a, b ; sign is always a ^ b
movw r10, ax
ret
1:
;; if (isinf (a)) return isinf(b) ? nan : a
movw ax, sp
addw ax, #4
movw hl, ax
call $!__int_isinf
bnz $1f
movw ax, sp
addw ax, #8
movw hl, ax
call $!__int_isinf
bnz $dret_a
dret_nan:
movw r8, #0x0001 ; return NaN
movw r10, #0x7f80
ret
1:
;; if (iszero (a)) return iszero(b) ? nan : a
movw ax, sp
addw ax, #4
movw hl, ax
call !!__int_iszero
bnz $1f
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_iszero
bnz $dret_a
br $dret_nan
1:
;; if (isinf (b)) return 0
movw ax, sp
addw ax, #8
movw hl, ax
call $!__int_isinf
bnz $1f
mov a, [sp+7]
mov b, a
mov a, [sp+11]
xor a, b
and a, #0x80
mov r11, a
movw r8, #0
mov r10, #0
ret
1:
;; if (iszero (b)) return Inf
movw ax, sp
addw ax, #8
movw hl, ax
call !!__int_iszero
bnz $1f
mov a, [sp+7]
mov b, a
mov a, [sp+11]
xor a, b
or a, #0x7f
mov r11, a
movw r8, #0
mov r10, #0x80
ret
1:
;; at this point, we're doing the division. Normalized
;; mantissas look like:
;; 01.xx.xx.xx
;; so we divide:
;; 01.xx.xx.xx.00.00.00.00
;; by 01.xx.xx.xx
;; to get approx 00.80.00.00.00 to 01.ff.ff.ff.00
subw sp, #16 ; save room for two unpacked values
movw ax, sp
movw hl, ax
addw ax, #16+4
movw de, ax
call $!_int_unpack_sf
movw ax, sp
addw ax, #8
movw hl, ax
addw ax, #16+8-8
movw de, ax
call $!_int_unpack_sf
movw ax, sp
movw hl, ax
;; divide DI a.FRAC / SI b.FRAC to DI r8
subw sp, #16
movw ax, A_FRAC_L
movw [sp+4], ax
movw ax, A_FRAC_H
movw [sp+6], ax
movw ax, B_FRAC_L
movw [sp+8], ax
movw ax, B_FRAC_H
movw [sp+10], ax
movw ax, #0
movw [sp+0], ax
movw [sp+2], ax
movw [sp+12], ax
movw [sp+14], ax
call !!___divdi3 ; MTMPa / MTMPb -> R8..R15
addw sp, #16
movw ax, sp
movw hl, ax
;; subtract the exponents A - B
movw ax, A_EXP
subw ax, B_EXP
movw bc, ax ; exponent in BC
;; now, re-normalize the DI value in R8..R15 to have the
;; MSB in the "right" place, adjusting BC as we shift it.
;; The value will normally be in this range:
;; R15 R8
;; 0000_0000_8000_0000
;; 0000_0001_ffff_ff00
;; so to speed it up, we normalize to:
;; 0000_0001_xxxx_xxxx
;; then extract the bytes we want (r9-r12)
1:
movw ax, r14
cmpw ax, #0
bnz $2f
movw ax, r12
cmpw ax, #1
bnh $1f
2:
;; shift right, inc exponent
movw ax, r14
shrw ax, 1
movw r14, ax
mov a, r13
rorc a, 1
mov r13, a
mov a, r12
rorc a, 1
mov r12, a
mov a, r11
rorc a, 1
mov r11, a
mov a, r10
rorc a, 1
mov r10, a
mov a, r9
rorc a, 1
mov r9, a
mov a, r8
rorc a, 1
mov r8, a
incw bc
br $1b
1:
;; the previous loop leaves r15.r13 zero
mov a, r12
cmp0 a
bnz $1f
;; shift left, dec exponent
movw ax, r8
shlw ax, 1
movw r8, ax
movw ax, r10
rolwc ax, 1
movw r10, ax
movw ax, r12
rolwc ax, 1
movw r12, ax
;; don't need to do r14
decw bc
br $1b
1:
;; at this point, FRAC is in R8..R11 and EXP is in BC
movw ax, bc
movw A_EXP, ax
mov a, r9
mov A_FRAC_L, a
mov a, r10
mov A_FRAC_LH, a
mov a, r11
mov A_FRAC_H, a
mov a, r12
mov A_FRAC_HH, a
mov a, A_SIGN
xor a, B_SIGN
mov A_SIGN, a
call $!__rl78_int_pack_a_r8
addw sp, #16
ret
END_FUNC ___divsf3
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