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;
; PA-RISC 64-bit implementation of bn_asm code
;
; This code is approximately 2x faster than the C version
; for RSA/DSA.
;
; See http://devresource.hp.com/ for more details on the PA-RISC
; architecture. Also see the book "PA-RISC 2.0 Architecture"
; by Gerry Kane for information on the instruction set architecture.
;
; Code written by Chris Ruemmler (with some help from the HP C
; compiler).
;
; The code compiles with HP's assembler
;
.level 2.0W
.space $TEXT$
.subspa $CODE$,QUAD=0,ALIGN=8,ACCESS=0x2c,CODE_ONLY
;
; Global Register definitions used for the routines.
;
; Some information about HP's runtime architecture for 64-bits.
;
; "Caller save" means the calling function must save the register
; if it wants the register to be preserved.
; "Callee save" means if a function uses the register, it must save
; the value before using it.
;
; For the floating point registers
;
; "caller save" registers: fr4-fr11, fr22-fr31
; "callee save" registers: fr12-fr21
; "special" registers: fr0-fr3 (status and exception registers)
;
; For the integer registers
; value zero : r0
; "caller save" registers: r1,r19-r26
; "callee save" registers: r3-r18
; return register : r2 (rp)
; return values ; r28 (ret0,ret1)
; Stack pointer ; r30 (sp)
; global data pointer ; r27 (dp)
; argument pointer ; r29 (ap)
; millicode return ptr ; r31 (also a caller save register)
;
; Arguments to the routines
;
r_ptr .reg %r26
a_ptr .reg %r25
b_ptr .reg %r24
num .reg %r24
w .reg %r23
n .reg %r23
;
; Globals used in some routines
;
top_overflow .reg %r29
high_mask .reg %r22 ; value 0xffffffff80000000L
;------------------------------------------------------------------------------
;
; bn_mul_add_words
;
;BN_ULONG bn_mul_add_words(BN_ULONG *r_ptr, BN_ULONG *a_ptr,
; int num, BN_ULONG w)
;
; arg0 = r_ptr
; arg1 = a_ptr
; arg2 = num
; arg3 = w
;
; Local register definitions
;
fm1 .reg %fr22
fm .reg %fr23
ht_temp .reg %fr24
ht_temp_1 .reg %fr25
lt_temp .reg %fr26
lt_temp_1 .reg %fr27
fm1_1 .reg %fr28
fm_1 .reg %fr29
fw_h .reg %fr7L
fw_l .reg %fr7R
fw .reg %fr7
fht_0 .reg %fr8L
flt_0 .reg %fr8R
t_float_0 .reg %fr8
fht_1 .reg %fr9L
flt_1 .reg %fr9R
t_float_1 .reg %fr9
tmp_0 .reg %r31
tmp_1 .reg %r21
m_0 .reg %r20
m_1 .reg %r19
ht_0 .reg %r1
ht_1 .reg %r3
lt_0 .reg %r4
lt_1 .reg %r5
m1_0 .reg %r6
m1_1 .reg %r7
rp_val .reg %r8
rp_val_1 .reg %r9
bn_mul_add_words
.export bn_mul_add_words,entry,NO_RELOCATION,LONG_RETURN
.proc
.callinfo frame=128
.entry
.align 64
STD %r3,0(%sp) ; save r3
STD %r4,8(%sp) ; save r4
NOP ; Needed to make the loop 16-byte aligned
NOP ; Needed to make the loop 16-byte aligned
STD %r5,16(%sp) ; save r5
STD %r6,24(%sp) ; save r6
STD %r7,32(%sp) ; save r7
STD %r8,40(%sp) ; save r8
STD %r9,48(%sp) ; save r9
COPY %r0,%ret0 ; return 0 by default
DEPDI,Z 1,31,1,top_overflow ; top_overflow = 1 << 32
STD w,56(%sp) ; store w on stack
CMPIB,>= 0,num,bn_mul_add_words_exit ; if (num <= 0) then exit
LDO 128(%sp),%sp ; bump stack
;
; The loop is unrolled twice, so if there is only 1 number
; then go straight to the cleanup code.
;
CMPIB,= 1,num,bn_mul_add_words_single_top
FLDD -72(%sp),fw ; load up w into fp register fw (fw_h/fw_l)
;
; This loop is unrolled 2 times (64-byte aligned as well)
;
; PA-RISC 2.0 chips have two fully pipelined multipliers, thus
; two 32-bit mutiplies can be issued per cycle.
;
bn_mul_add_words_unroll2
FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
FLDD 8(a_ptr),t_float_1 ; load up 64-bit value (fr8L) ht(L)/lt(R)
LDD 0(r_ptr),rp_val ; rp[0]
LDD 8(r_ptr),rp_val_1 ; rp[1]
XMPYU fht_0,fw_l,fm1 ; m1[0] = fht_0*fw_l
XMPYU fht_1,fw_l,fm1_1 ; m1[1] = fht_1*fw_l
FSTD fm1,-16(%sp) ; -16(sp) = m1[0]
FSTD fm1_1,-48(%sp) ; -48(sp) = m1[1]
XMPYU flt_0,fw_h,fm ; m[0] = flt_0*fw_h
XMPYU flt_1,fw_h,fm_1 ; m[1] = flt_1*fw_h
FSTD fm,-8(%sp) ; -8(sp) = m[0]
FSTD fm_1,-40(%sp) ; -40(sp) = m[1]
XMPYU fht_0,fw_h,ht_temp ; ht_temp = fht_0*fw_h
XMPYU fht_1,fw_h,ht_temp_1 ; ht_temp_1 = fht_1*fw_h
FSTD ht_temp,-24(%sp) ; -24(sp) = ht_temp
FSTD ht_temp_1,-56(%sp) ; -56(sp) = ht_temp_1
XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
XMPYU flt_1,fw_l,lt_temp_1 ; lt_temp = lt*fw_l
FSTD lt_temp,-32(%sp) ; -32(sp) = lt_temp
FSTD lt_temp_1,-64(%sp) ; -64(sp) = lt_temp_1
LDD -8(%sp),m_0 ; m[0]
LDD -40(%sp),m_1 ; m[1]
LDD -16(%sp),m1_0 ; m1[0]
LDD -48(%sp),m1_1 ; m1[1]
LDD -24(%sp),ht_0 ; ht[0]
LDD -56(%sp),ht_1 ; ht[1]
ADD,L m1_0,m_0,tmp_0 ; tmp_0 = m[0] + m1[0];
ADD,L m1_1,m_1,tmp_1 ; tmp_1 = m[1] + m1[1];
LDD -32(%sp),lt_0
LDD -64(%sp),lt_1
CMPCLR,*>>= tmp_0,m1_0, %r0 ; if (m[0] < m1[0])
ADD,L ht_0,top_overflow,ht_0 ; ht[0] += (1<<32)
CMPCLR,*>>= tmp_1,m1_1,%r0 ; if (m[1] < m1[1])
ADD,L ht_1,top_overflow,ht_1 ; ht[1] += (1<<32)
EXTRD,U tmp_0,31,32,m_0 ; m[0]>>32
DEPD,Z tmp_0,31,32,m1_0 ; m1[0] = m[0]<<32
EXTRD,U tmp_1,31,32,m_1 ; m[1]>>32
DEPD,Z tmp_1,31,32,m1_1 ; m1[1] = m[1]<<32
ADD,L ht_0,m_0,ht_0 ; ht[0]+= (m[0]>>32)
ADD,L ht_1,m_1,ht_1 ; ht[1]+= (m[1]>>32)
ADD lt_0,m1_0,lt_0 ; lt[0] = lt[0]+m1[0];
ADD,DC ht_0,%r0,ht_0 ; ht[0]++
ADD lt_1,m1_1,lt_1 ; lt[1] = lt[1]+m1[1];
ADD,DC ht_1,%r0,ht_1 ; ht[1]++
ADD %ret0,lt_0,lt_0 ; lt[0] = lt[0] + c;
ADD,DC ht_0,%r0,ht_0 ; ht[0]++
ADD lt_0,rp_val,lt_0 ; lt[0] = lt[0]+rp[0]
ADD,DC ht_0,%r0,ht_0 ; ht[0]++
LDO -2(num),num ; num = num - 2;
ADD ht_0,lt_1,lt_1 ; lt[1] = lt[1] + ht_0 (c);
ADD,DC ht_1,%r0,ht_1 ; ht[1]++
STD lt_0,0(r_ptr) ; rp[0] = lt[0]
ADD lt_1,rp_val_1,lt_1 ; lt[1] = lt[1]+rp[1]
ADD,DC ht_1,%r0,%ret0 ; ht[1]++
LDO 16(a_ptr),a_ptr ; a_ptr += 2
STD lt_1,8(r_ptr) ; rp[1] = lt[1]
CMPIB,<= 2,num,bn_mul_add_words_unroll2 ; go again if more to do
LDO 16(r_ptr),r_ptr ; r_ptr += 2
CMPIB,=,N 0,num,bn_mul_add_words_exit ; are we done, or cleanup last one
;
; Top of loop aligned on 64-byte boundary
;
bn_mul_add_words_single_top
FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
LDD 0(r_ptr),rp_val ; rp[0]
LDO 8(a_ptr),a_ptr ; a_ptr++
XMPYU fht_0,fw_l,fm1 ; m1 = ht*fw_l
FSTD fm1,-16(%sp) ; -16(sp) = m1
XMPYU flt_0,fw_h,fm ; m = lt*fw_h
FSTD fm,-8(%sp) ; -8(sp) = m
XMPYU fht_0,fw_h,ht_temp ; ht_temp = ht*fw_h
FSTD ht_temp,-24(%sp) ; -24(sp) = ht
XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
FSTD lt_temp,-32(%sp) ; -32(sp) = lt
LDD -8(%sp),m_0
LDD -16(%sp),m1_0 ; m1 = temp1
ADD,L m_0,m1_0,tmp_0 ; tmp_0 = m + m1;
LDD -24(%sp),ht_0
LDD -32(%sp),lt_0
CMPCLR,*>>= tmp_0,m1_0,%r0 ; if (m < m1)
ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
EXTRD,U tmp_0,31,32,m_0 ; m>>32
DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
ADD lt_0,m1_0,tmp_0 ; tmp_0 = lt+m1;
ADD,DC ht_0,%r0,ht_0 ; ht++
ADD %ret0,tmp_0,lt_0 ; lt = lt + c;
ADD,DC ht_0,%r0,ht_0 ; ht++
ADD lt_0,rp_val,lt_0 ; lt = lt+rp[0]
ADD,DC ht_0,%r0,%ret0 ; ht++
STD lt_0,0(r_ptr) ; rp[0] = lt
bn_mul_add_words_exit
.EXIT
LDD -80(%sp),%r9 ; restore r9
LDD -88(%sp),%r8 ; restore r8
LDD -96(%sp),%r7 ; restore r7
LDD -104(%sp),%r6 ; restore r6
LDD -112(%sp),%r5 ; restore r5
LDD -120(%sp),%r4 ; restore r4
BVE (%rp)
LDD,MB -128(%sp),%r3 ; restore r3
.PROCEND ;in=23,24,25,26,29;out=28;
;----------------------------------------------------------------------------
;
;BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
;
; arg0 = rp
; arg1 = ap
; arg2 = num
; arg3 = w
bn_mul_words
.proc
.callinfo frame=128
.entry
.EXPORT bn_mul_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
.align 64
STD %r3,0(%sp) ; save r3
STD %r4,8(%sp) ; save r4
STD %r5,16(%sp) ; save r5
STD %r6,24(%sp) ; save r6
STD %r7,32(%sp) ; save r7
COPY %r0,%ret0 ; return 0 by default
DEPDI,Z 1,31,1,top_overflow ; top_overflow = 1 << 32
STD w,56(%sp) ; w on stack
CMPIB,>= 0,num,bn_mul_words_exit
LDO 128(%sp),%sp ; bump stack
;
; See if only 1 word to do, thus just do cleanup
;
CMPIB,= 1,num,bn_mul_words_single_top
FLDD -72(%sp),fw ; load up w into fp register fw (fw_h/fw_l)
;
; This loop is unrolled 2 times (64-byte aligned as well)
;
; PA-RISC 2.0 chips have two fully pipelined multipliers, thus
; two 32-bit mutiplies can be issued per cycle.
;
bn_mul_words_unroll2
FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
FLDD 8(a_ptr),t_float_1 ; load up 64-bit value (fr8L) ht(L)/lt(R)
XMPYU fht_0,fw_l,fm1 ; m1[0] = fht_0*fw_l
XMPYU fht_1,fw_l,fm1_1 ; m1[1] = ht*fw_l
FSTD fm1,-16(%sp) ; -16(sp) = m1
FSTD fm1_1,-48(%sp) ; -48(sp) = m1
XMPYU flt_0,fw_h,fm ; m = lt*fw_h
XMPYU flt_1,fw_h,fm_1 ; m = lt*fw_h
FSTD fm,-8(%sp) ; -8(sp) = m
FSTD fm_1,-40(%sp) ; -40(sp) = m
XMPYU fht_0,fw_h,ht_temp ; ht_temp = fht_0*fw_h
XMPYU fht_1,fw_h,ht_temp_1 ; ht_temp = ht*fw_h
FSTD ht_temp,-24(%sp) ; -24(sp) = ht
FSTD ht_temp_1,-56(%sp) ; -56(sp) = ht
XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
XMPYU flt_1,fw_l,lt_temp_1 ; lt_temp = lt*fw_l
FSTD lt_temp,-32(%sp) ; -32(sp) = lt
FSTD lt_temp_1,-64(%sp) ; -64(sp) = lt
LDD -8(%sp),m_0
LDD -40(%sp),m_1
LDD -16(%sp),m1_0
LDD -48(%sp),m1_1
LDD -24(%sp),ht_0
LDD -56(%sp),ht_1
ADD,L m1_0,m_0,tmp_0 ; tmp_0 = m + m1;
ADD,L m1_1,m_1,tmp_1 ; tmp_1 = m + m1;
LDD -32(%sp),lt_0
LDD -64(%sp),lt_1
CMPCLR,*>>= tmp_0,m1_0, %r0 ; if (m < m1)
ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
CMPCLR,*>>= tmp_1,m1_1,%r0 ; if (m < m1)
ADD,L ht_1,top_overflow,ht_1 ; ht += (1<<32)
EXTRD,U tmp_0,31,32,m_0 ; m>>32
DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
EXTRD,U tmp_1,31,32,m_1 ; m>>32
DEPD,Z tmp_1,31,32,m1_1 ; m1 = m<<32
ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
ADD,L ht_1,m_1,ht_1 ; ht+= (m>>32)
ADD lt_0,m1_0,lt_0 ; lt = lt+m1;
ADD,DC ht_0,%r0,ht_0 ; ht++
ADD lt_1,m1_1,lt_1 ; lt = lt+m1;
ADD,DC ht_1,%r0,ht_1 ; ht++
ADD %ret0,lt_0,lt_0 ; lt = lt + c (ret0);
ADD,DC ht_0,%r0,ht_0 ; ht++
ADD ht_0,lt_1,lt_1 ; lt = lt + c (ht_0)
ADD,DC ht_1,%r0,ht_1 ; ht++
STD lt_0,0(r_ptr) ; rp[0] = lt
STD lt_1,8(r_ptr) ; rp[1] = lt
COPY ht_1,%ret0 ; carry = ht
LDO -2(num),num ; num = num - 2;
LDO 16(a_ptr),a_ptr ; ap += 2
CMPIB,<= 2,num,bn_mul_words_unroll2
LDO 16(r_ptr),r_ptr ; rp++
CMPIB,=,N 0,num,bn_mul_words_exit ; are we done?
;
; Top of loop aligned on 64-byte boundary
;
bn_mul_words_single_top
FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
XMPYU fht_0,fw_l,fm1 ; m1 = ht*fw_l
FSTD fm1,-16(%sp) ; -16(sp) = m1
XMPYU flt_0,fw_h,fm ; m = lt*fw_h
FSTD fm,-8(%sp) ; -8(sp) = m
XMPYU fht_0,fw_h,ht_temp ; ht_temp = ht*fw_h
FSTD ht_temp,-24(%sp) ; -24(sp) = ht
XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
FSTD lt_temp,-32(%sp) ; -32(sp) = lt
LDD -8(%sp),m_0
LDD -16(%sp),m1_0
ADD,L m_0,m1_0,tmp_0 ; tmp_0 = m + m1;
LDD -24(%sp),ht_0
LDD -32(%sp),lt_0
CMPCLR,*>>= tmp_0,m1_0,%r0 ; if (m < m1)
ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
EXTRD,U tmp_0,31,32,m_0 ; m>>32
DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
ADD lt_0,m1_0,lt_0 ; lt= lt+m1;
ADD,DC ht_0,%r0,ht_0 ; ht++
ADD %ret0,lt_0,lt_0 ; lt = lt + c;
ADD,DC ht_0,%r0,ht_0 ; ht++
COPY ht_0,%ret0 ; copy carry
STD lt_0,0(r_ptr) ; rp[0] = lt
bn_mul_words_exit
.EXIT
LDD -96(%sp),%r7 ; restore r7
LDD -104(%sp),%r6 ; restore r6
LDD -112(%sp),%r5 ; restore r5
LDD -120(%sp),%r4 ; restore r4
BVE (%rp)
LDD,MB -128(%sp),%r3 ; restore r3
.PROCEND ;in=23,24,25,26,29;out=28;
;----------------------------------------------------------------------------
;
;void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num)
;
; arg0 = rp
; arg1 = ap
; arg2 = num
;
bn_sqr_words
.proc
.callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
.EXPORT bn_sqr_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
.entry
.align 64
STD %r3,0(%sp) ; save r3
STD %r4,8(%sp) ; save r4
NOP
STD %r5,16(%sp) ; save r5
CMPIB,>= 0,num,bn_sqr_words_exit
LDO 128(%sp),%sp ; bump stack
;
; If only 1, the goto straight to cleanup
;
CMPIB,= 1,num,bn_sqr_words_single_top
DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
;
; This loop is unrolled 2 times (64-byte aligned as well)
;
bn_sqr_words_unroll2
FLDD 0(a_ptr),t_float_0 ; a[0]
FLDD 8(a_ptr),t_float_1 ; a[1]
XMPYU fht_0,flt_0,fm ; m[0]
XMPYU fht_1,flt_1,fm_1 ; m[1]
FSTD fm,-24(%sp) ; store m[0]
FSTD fm_1,-56(%sp) ; store m[1]
XMPYU flt_0,flt_0,lt_temp ; lt[0]
XMPYU flt_1,flt_1,lt_temp_1 ; lt[1]
FSTD lt_temp,-16(%sp) ; store lt[0]
FSTD lt_temp_1,-48(%sp) ; store lt[1]
XMPYU fht_0,fht_0,ht_temp ; ht[0]
XMPYU fht_1,fht_1,ht_temp_1 ; ht[1]
FSTD ht_temp,-8(%sp) ; store ht[0]
FSTD ht_temp_1,-40(%sp) ; store ht[1]
LDD -24(%sp),m_0
LDD -56(%sp),m_1
AND m_0,high_mask,tmp_0 ; m[0] & Mask
AND m_1,high_mask,tmp_1 ; m[1] & Mask
DEPD,Z m_0,30,31,m_0 ; m[0] << 32+1
DEPD,Z m_1,30,31,m_1 ; m[1] << 32+1
LDD -16(%sp),lt_0
LDD -48(%sp),lt_1
EXTRD,U tmp_0,32,33,tmp_0 ; tmp_0 = m[0]&Mask >> 32-1
EXTRD,U tmp_1,32,33,tmp_1 ; tmp_1 = m[1]&Mask >> 32-1
LDD -8(%sp),ht_0
LDD -40(%sp),ht_1
ADD,L ht_0,tmp_0,ht_0 ; ht[0] += tmp_0
ADD,L ht_1,tmp_1,ht_1 ; ht[1] += tmp_1
ADD lt_0,m_0,lt_0 ; lt = lt+m
ADD,DC ht_0,%r0,ht_0 ; ht[0]++
STD lt_0,0(r_ptr) ; rp[0] = lt[0]
STD ht_0,8(r_ptr) ; rp[1] = ht[1]
ADD lt_1,m_1,lt_1 ; lt = lt+m
ADD,DC ht_1,%r0,ht_1 ; ht[1]++
STD lt_1,16(r_ptr) ; rp[2] = lt[1]
STD ht_1,24(r_ptr) ; rp[3] = ht[1]
LDO -2(num),num ; num = num - 2;
LDO 16(a_ptr),a_ptr ; ap += 2
CMPIB,<= 2,num,bn_sqr_words_unroll2
LDO 32(r_ptr),r_ptr ; rp += 4
CMPIB,=,N 0,num,bn_sqr_words_exit ; are we done?
;
; Top of loop aligned on 64-byte boundary
;
bn_sqr_words_single_top
FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
XMPYU fht_0,flt_0,fm ; m
FSTD fm,-24(%sp) ; store m
XMPYU flt_0,flt_0,lt_temp ; lt
FSTD lt_temp,-16(%sp) ; store lt
XMPYU fht_0,fht_0,ht_temp ; ht
FSTD ht_temp,-8(%sp) ; store ht
LDD -24(%sp),m_0 ; load m
AND m_0,high_mask,tmp_0 ; m & Mask
DEPD,Z m_0,30,31,m_0 ; m << 32+1
LDD -16(%sp),lt_0 ; lt
LDD -8(%sp),ht_0 ; ht
EXTRD,U tmp_0,32,33,tmp_0 ; tmp_0 = m&Mask >> 32-1
ADD m_0,lt_0,lt_0 ; lt = lt+m
ADD,L ht_0,tmp_0,ht_0 ; ht += tmp_0
ADD,DC ht_0,%r0,ht_0 ; ht++
STD lt_0,0(r_ptr) ; rp[0] = lt
STD ht_0,8(r_ptr) ; rp[1] = ht
bn_sqr_words_exit
.EXIT
LDD -112(%sp),%r5 ; restore r5
LDD -120(%sp),%r4 ; restore r4
BVE (%rp)
LDD,MB -128(%sp),%r3
.PROCEND ;in=23,24,25,26,29;out=28;
;----------------------------------------------------------------------------
;
;BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
;
; arg0 = rp
; arg1 = ap
; arg2 = bp
; arg3 = n
t .reg %r22
b .reg %r21
l .reg %r20
bn_add_words
.proc
.entry
.callinfo
.EXPORT bn_add_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
.align 64
CMPIB,>= 0,n,bn_add_words_exit
COPY %r0,%ret0 ; return 0 by default
;
; If 2 or more numbers do the loop
;
CMPIB,= 1,n,bn_add_words_single_top
NOP
;
; This loop is unrolled 2 times (64-byte aligned as well)
;
bn_add_words_unroll2
LDD 0(a_ptr),t
LDD 0(b_ptr),b
ADD t,%ret0,t ; t = t+c;
ADD,DC %r0,%r0,%ret0 ; set c to carry
ADD t,b,l ; l = t + b[0]
ADD,DC %ret0,%r0,%ret0 ; c+= carry
STD l,0(r_ptr)
LDD 8(a_ptr),t
LDD 8(b_ptr),b
ADD t,%ret0,t ; t = t+c;
ADD,DC %r0,%r0,%ret0 ; set c to carry
ADD t,b,l ; l = t + b[0]
ADD,DC %ret0,%r0,%ret0 ; c+= carry
STD l,8(r_ptr)
LDO -2(n),n
LDO 16(a_ptr),a_ptr
LDO 16(b_ptr),b_ptr
CMPIB,<= 2,n,bn_add_words_unroll2
LDO 16(r_ptr),r_ptr
CMPIB,=,N 0,n,bn_add_words_exit ; are we done?
bn_add_words_single_top
LDD 0(a_ptr),t
LDD 0(b_ptr),b
ADD t,%ret0,t ; t = t+c;
ADD,DC %r0,%r0,%ret0 ; set c to carry (could use CMPCLR??)
ADD t,b,l ; l = t + b[0]
ADD,DC %ret0,%r0,%ret0 ; c+= carry
STD l,0(r_ptr)
bn_add_words_exit
.EXIT
BVE (%rp)
NOP
.PROCEND ;in=23,24,25,26,29;out=28;
;----------------------------------------------------------------------------
;
;BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
;
; arg0 = rp
; arg1 = ap
; arg2 = bp
; arg3 = n
t1 .reg %r22
t2 .reg %r21
sub_tmp1 .reg %r20
sub_tmp2 .reg %r19
bn_sub_words
.proc
.callinfo
.EXPORT bn_sub_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
.entry
.align 64
CMPIB,>= 0,n,bn_sub_words_exit
COPY %r0,%ret0 ; return 0 by default
;
; If 2 or more numbers do the loop
;
CMPIB,= 1,n,bn_sub_words_single_top
NOP
;
; This loop is unrolled 2 times (64-byte aligned as well)
;
bn_sub_words_unroll2
LDD 0(a_ptr),t1
LDD 0(b_ptr),t2
SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
SUB sub_tmp1,%ret0,sub_tmp1 ; t3 = t3- c;
CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
LDO 1(%r0),sub_tmp2
CMPCLR,*= t1,t2,%r0
COPY sub_tmp2,%ret0
STD sub_tmp1,0(r_ptr)
LDD 8(a_ptr),t1
LDD 8(b_ptr),t2
SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
SUB sub_tmp1,%ret0,sub_tmp1 ; t3 = t3- c;
CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
LDO 1(%r0),sub_tmp2
CMPCLR,*= t1,t2,%r0
COPY sub_tmp2,%ret0
STD sub_tmp1,8(r_ptr)
LDO -2(n),n
LDO 16(a_ptr),a_ptr
LDO 16(b_ptr),b_ptr
CMPIB,<= 2,n,bn_sub_words_unroll2
LDO 16(r_ptr),r_ptr
CMPIB,=,N 0,n,bn_sub_words_exit ; are we done?
bn_sub_words_single_top
LDD 0(a_ptr),t1
LDD 0(b_ptr),t2
SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
SUB sub_tmp1,%ret0,sub_tmp1 ; t3 = t3- c;
CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
LDO 1(%r0),sub_tmp2
CMPCLR,*= t1,t2,%r0
COPY sub_tmp2,%ret0
STD sub_tmp1,0(r_ptr)
bn_sub_words_exit
.EXIT
BVE (%rp)
NOP
.PROCEND ;in=23,24,25,26,29;out=28;
;------------------------------------------------------------------------------
;
; unsigned long bn_div_words(unsigned long h, unsigned long l, unsigned long d)
;
; arg0 = h
; arg1 = l
; arg2 = d
;
; This is mainly just modified assembly from the compiler, thus the
; lack of variable names.
;
;------------------------------------------------------------------------------
bn_div_words
.proc
.callinfo CALLER,FRAME=272,ENTRY_GR=%r10,SAVE_RP,ARGS_SAVED,ORDERING_AWARE
.EXPORT bn_div_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
.IMPORT BN_num_bits_word,CODE,NO_RELOCATION
.IMPORT __iob,DATA
.IMPORT fprintf,CODE,NO_RELOCATION
.IMPORT abort,CODE,NO_RELOCATION
.IMPORT $$div2U,MILLICODE
.entry
STD %r2,-16(%r30)
STD,MA %r3,352(%r30)
STD %r4,-344(%r30)
STD %r5,-336(%r30)
STD %r6,-328(%r30)
STD %r7,-320(%r30)
STD %r8,-312(%r30)
STD %r9,-304(%r30)
STD %r10,-296(%r30)
STD %r27,-288(%r30) ; save gp
COPY %r24,%r3 ; save d
COPY %r26,%r4 ; save h (high 64-bits)
LDO -1(%r0),%ret0 ; return -1 by default
CMPB,*= %r0,%arg2,$D3 ; if (d == 0)
COPY %r25,%r5 ; save l (low 64-bits)
LDO -48(%r30),%r29 ; create ap
.CALL ;in=26,29;out=28;
B,L BN_num_bits_word,%r2
COPY %r3,%r26
LDD -288(%r30),%r27 ; restore gp
LDI 64,%r21
CMPB,= %r21,%ret0,$00000012 ;if (i == 64) (forward)
COPY %ret0,%r24 ; i
MTSARCM %r24
DEPDI,Z -1,%sar,1,%r29
CMPB,*<<,N %r29,%r4,bn_div_err_case ; if (h > 1<<i) (forward)
$00000012
SUBI 64,%r24,%r31 ; i = 64 - i;
CMPCLR,*<< %r4,%r3,%r0 ; if (h >= d)
SUB %r4,%r3,%r4 ; h -= d
CMPB,= %r31,%r0,$0000001A ; if (i)
COPY %r0,%r10 ; ret = 0
MTSARCM %r31 ; i to shift
DEPD,Z %r3,%sar,64,%r3 ; d <<= i;
SUBI 64,%r31,%r19 ; 64 - i; redundent
MTSAR %r19 ; (64 -i) to shift
SHRPD %r4,%r5,%sar,%r4 ; l>> (64-i)
MTSARCM %r31 ; i to shift
DEPD,Z %r5,%sar,64,%r5 ; l <<= i;
$0000001A
DEPDI,Z -1,31,32,%r19
EXTRD,U %r3,31,32,%r6 ; dh=(d&0xfff)>>32
EXTRD,U %r3,63,32,%r8 ; dl = d&0xffffff
LDO 2(%r0),%r9
STD %r3,-280(%r30) ; "d" to stack
$0000001C
DEPDI,Z -1,63,32,%r29 ;
EXTRD,U %r4,31,32,%r31 ; h >> 32
CMPB,*=,N %r31,%r6,$D2 ; if ((h>>32) != dh)(forward) div
COPY %r4,%r26
EXTRD,U %r4,31,32,%r25
COPY %r6,%r24
.CALL ;in=23,24,25,26;out=20,21,22,28,29; (MILLICALL)
B,L $$div2U,%r2
EXTRD,U %r6,31,32,%r23
DEPD %r28,31,32,%r29
$D2
STD %r29,-272(%r30) ; q
AND %r5,%r19,%r24 ; t & 0xffffffff00000000;
EXTRD,U %r24,31,32,%r24 ; ???
FLDD -272(%r30),%fr7 ; q
FLDD -280(%r30),%fr8 ; d
XMPYU %fr8L,%fr7L,%fr10
FSTD %fr10,-256(%r30)
XMPYU %fr8L,%fr7R,%fr22
FSTD %fr22,-264(%r30)
XMPYU %fr8R,%fr7L,%fr11
XMPYU %fr8R,%fr7R,%fr23
FSTD %fr11,-232(%r30)
FSTD %fr23,-240(%r30)
LDD -256(%r30),%r28
DEPD,Z %r28,31,32,%r2
LDD -264(%r30),%r20
ADD,L %r20,%r2,%r31
LDD -232(%r30),%r22
DEPD,Z %r22,31,32,%r22
LDD -240(%r30),%r21
B $00000024 ; enter loop
ADD,L %r21,%r22,%r23
$0000002A
LDO -1(%r29),%r29
SUB %r23,%r8,%r23
$00000024
SUB %r4,%r31,%r25
AND %r25,%r19,%r26
CMPB,*<>,N %r0,%r26,$00000046 ; (forward)
DEPD,Z %r25,31,32,%r20
OR %r20,%r24,%r21
CMPB,*<<,N %r21,%r23,$0000002A ;(backward)
SUB %r31,%r6,%r31
;-------------Break path---------------------
$00000046
DEPD,Z %r23,31,32,%r25 ;tl
EXTRD,U %r23,31,32,%r26 ;t
AND %r25,%r19,%r24 ;tl = (tl<<32)&0xfffffff0000000L
ADD,L %r31,%r26,%r31 ;th += t;
CMPCLR,*>>= %r5,%r24,%r0 ;if (l<tl)
LDO 1(%r31),%r31 ; th++;
CMPB,*<<=,N %r31,%r4,$00000036 ;if (n < th) (forward)
LDO -1(%r29),%r29 ;q--;
ADD,L %r4,%r3,%r4 ;h += d;
$00000036
ADDIB,=,N -1,%r9,$D1 ;if (--count == 0) break (forward)
SUB %r5,%r24,%r28 ; l -= tl;
SUB %r4,%r31,%r24 ; h -= th;
SHRPD %r24,%r28,32,%r4 ; h = ((h<<32)|(l>>32));
DEPD,Z %r29,31,32,%r10 ; ret = q<<32
b $0000001C
DEPD,Z %r28,31,32,%r5 ; l = l << 32
$D1
OR %r10,%r29,%r28 ; ret |= q
$D3
LDD -368(%r30),%r2
$D0
LDD -296(%r30),%r10
LDD -304(%r30),%r9
LDD -312(%r30),%r8
LDD -320(%r30),%r7
LDD -328(%r30),%r6
LDD -336(%r30),%r5
LDD -344(%r30),%r4
BVE (%r2)
.EXIT
LDD,MB -352(%r30),%r3
bn_div_err_case
MFIA %r6
ADDIL L'bn_div_words-bn_div_err_case,%r6,%r1
LDO R'bn_div_words-bn_div_err_case(%r1),%r6
ADDIL LT'__iob,%r27,%r1
LDD RT'__iob(%r1),%r26
ADDIL L'C$4-bn_div_words,%r6,%r1
LDO R'C$4-bn_div_words(%r1),%r25
LDO 64(%r26),%r26
.CALL ;in=24,25,26,29;out=28;
B,L fprintf,%r2
LDO -48(%r30),%r29
LDD -288(%r30),%r27
.CALL ;in=29;
B,L abort,%r2
LDO -48(%r30),%r29
LDD -288(%r30),%r27
B $D0
LDD -368(%r30),%r2
.PROCEND ;in=24,25,26,29;out=28;
;----------------------------------------------------------------------------
;
; Registers to hold 64-bit values to manipulate. The "L" part
; of the register corresponds to the upper 32-bits, while the "R"
; part corresponds to the lower 32-bits
;
; Note, that when using b6 and b7, the code must save these before
; using them because they are callee save registers
;
;
; Floating point registers to use to save values that
; are manipulated. These don't collide with ftemp1-6 and
; are all caller save registers
;
a0 .reg %fr22
a0L .reg %fr22L
a0R .reg %fr22R
a1 .reg %fr23
a1L .reg %fr23L
a1R .reg %fr23R
a2 .reg %fr24
a2L .reg %fr24L
a2R .reg %fr24R
a3 .reg %fr25
a3L .reg %fr25L
a3R .reg %fr25R
a4 .reg %fr26
a4L .reg %fr26L
a4R .reg %fr26R
a5 .reg %fr27
a5L .reg %fr27L
a5R .reg %fr27R
a6 .reg %fr28
a6L .reg %fr28L
a6R .reg %fr28R
a7 .reg %fr29
a7L .reg %fr29L
a7R .reg %fr29R
b0 .reg %fr30
b0L .reg %fr30L
b0R .reg %fr30R
b1 .reg %fr31
b1L .reg %fr31L
b1R .reg %fr31R
;
; Temporary floating point variables, these are all caller save
; registers
;
ftemp1 .reg %fr4
ftemp2 .reg %fr5
ftemp3 .reg %fr6
ftemp4 .reg %fr7
;
; The B set of registers when used.
;
b2 .reg %fr8
b2L .reg %fr8L
b2R .reg %fr8R
b3 .reg %fr9
b3L .reg %fr9L
b3R .reg %fr9R
b4 .reg %fr10
b4L .reg %fr10L
b4R .reg %fr10R
b5 .reg %fr11
b5L .reg %fr11L
b5R .reg %fr11R
b6 .reg %fr12
b6L .reg %fr12L
b6R .reg %fr12R
b7 .reg %fr13
b7L .reg %fr13L
b7R .reg %fr13R
c1 .reg %r21 ; only reg
temp1 .reg %r20 ; only reg
temp2 .reg %r19 ; only reg
temp3 .reg %r31 ; only reg
m1 .reg %r28
c2 .reg %r23