/
4_bcpz_function.s
366 lines (313 loc) · 12.1 KB
/
4_bcpz_function.s
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/*
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*
* Authors: Dahmun Goudarzi, Anthony Journault, Matthieu Rivain and François-
* Xavier Standaert
*
*/
AREA bcpz_mult_code, CODE, READONLY
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; BBPPTV MULTIPLICATION FUNCTIONS ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ------------------------------------------------------------------------
;; Compute mat mult procedure for the case d = 2 (terminal case)
rec_mat_mult_d2
push{LR}
;; shift_m set to get Mij
MOV R10, #MASKING_ORDER
MOV R9, R11
MUL R9, R10, R9
ADD R9, R12
;;
LDR R3, [R0], #4
LDR R4, [R0], #-4
LDR R5, [R1], #4
LDR R6, [R1], #-4
AND R10, R3, R5
STR R10, [R8, R9, LSL #2]
AND R10, R3, R6
ADD R9, #1
STR R10, [R8, R9, LSL #2]
;; shift_m set to get Mi+1j
ADD R9, #(MASKING_ORDER-1)
;;
AND R10, R4, R5
STR R10, [R8, R9, LSL #2]
AND R10, R4, R6
ADD R9, #1
STR R10, [R8, R9, LSL #2]
pop{LR}
BX LR
;; ------------------------------------------------------------------------
;; Generic refresh macro (any order) with loops
refresh
push{LR}
LDR R3, [R0], #4
LDR R4, [R1], #4
MOV R12, #1
loopRefresh
;; refresh x_0, x_i
get_random R6,R7
LDR R5, [R0]
EOR R3, R6
EOR R5, R6
STR R5, [R0], #4
;; refresh y_0, y_i
get_random R6,R7
LDR R5, [R1]
EOR R4, R6
EOR R5, R6
STR R5, [R1], #4
;; loop processing
ADD R12, #1
CMP R12, R11
BNE loopRefresh
;; reset adresses of x and y
MOV R6, #4
MUL R5, R11, R6
SUB R0, R5
SUB R1, R5
STR R3, [R0]
STR R4, [R1]
pop{LR}
BX LR
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; BBPPTV MULTIPLICATION MACROS ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MAT MULT D = 4 ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
MACRO
rec_mat_mult_d4 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x, $stop_x, $start_y, $stop_y
;; M11 = X1 * Y1
MOV R11, #$start_x
MOV R12, #$start_y
BL rec_mat_mult_d2
;; Refresh X1,Y1
MOV R11, #2
BL refresh
;; M12 = X1 * Y2
ADD $addr_y, #8
MOV R11, #$start_x
MOV R12, #$stop_y
BL rec_mat_mult_d2
;; M21 = X2 * Y1
ADD $addr_x, #8
SUB $addr_y, #8
MOV R11, #$stop_x
MOV R12, #$start_y
BL rec_mat_mult_d2
;; Refresh X2,Y2
ADD $addr_y, #8
MOV R11, #2
BL refresh
;; M22 = X2 * Y2
MOV R11, #$stop_x
MOV R12, #$stop_y
BL rec_mat_mult_d2
SUB $addr_x, #8
SUB $addr_y, #8
MEND
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MAT MULT D = 8 ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
MACRO
rec_mat_mult_d8 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x1, $stop_x1, $start_x2, $stop_x2, $start_y1, $stop_y1, $start_y2, $stop_y2
;; M11 = X1 * Y1
rec_mat_mult_d4 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x1, $stop_x1, $start_y1, $stop_y1
;; Refresh X1,Y1
MOV R11, #4
BL refresh
;; M12 = X1 * Y2
ADD $addr_y, #16
rec_mat_mult_d4 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x1, $stop_x1, $start_y2, $stop_y2
;; M21 = X2 * Y1
ADD $addr_x, #16
SUB $addr_y, #16
rec_mat_mult_d4 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x2, $stop_x2, $start_y1, $stop_y1
;; Refresh X2,Y2
ADD $addr_y, #16
MOV R11, #4
BL refresh
;; M22 = X2 * Y2
rec_mat_mult_d4 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x2, $stop_x2, $start_y2, $stop_y2
SUB $addr_x, #16
SUB $addr_y, #16
MEND
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MAT MULT D = 16 ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
MACRO
rec_mat_mult_d16 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x11, $stop_x11, $start_x12, $stop_x12, $start_x21, $stop_x21, $start_x22, $stop_x22, $start_y11, $stop_y11, $start_y12, $stop_y12, $start_y21, $stop_y21, $start_y22, $stop_y22
;; M11 = X1 * Y1
rec_mat_mult_d8 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x11, $stop_x11, $start_x12, $stop_x12, $start_y11, $stop_y11, $start_y12, $stop_y12
;; Refresh X1,Y1
MOV R11, #8
BL refresh
;; M12 = X1 * Y2
ADD $addr_y, #32
rec_mat_mult_d8 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x11, $stop_x11, $start_x12, $stop_x12, $start_y21, $stop_y21, $start_y22, $stop_y22
;; M21 = X2 * Y1
ADD $addr_x, #32
SUB $addr_y, #32
rec_mat_mult_d8 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x21, $stop_x21, $start_x22, $stop_x22, $start_y11, $stop_y11, $start_y12, $stop_y12
;; Refresh X2,Y2
ADD $addr_y, #32
MOV R11, #8
BL refresh
;; M22 = X2 * Y2
rec_mat_mult_d8 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, $start_x21, $stop_x21, $start_x22, $stop_x22, $start_y21, $stop_y21, $start_y22, $stop_y22
SUB $addr_x, #32
SUB $addr_y, #32
MEND
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MAT MULT D = 32 ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
MACRO
rec_mat_mult_d32 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m
;; M11 = X1 * Y1
rec_mat_mult_d16 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, 0, 2, 4, 6, 8, 10, 12, 14, 0, 2, 4, 6, 8, 10, 12, 14
;; Refresh X1,Y1
MOV R11, #16
BL refresh
;; M12 = X1 * Y2
ADD $addr_y, #64
rec_mat_mult_d16 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
;; M21 = X2 * Y1
ADD $addr_x, #64
SUB $addr_y, #64
rec_mat_mult_d16 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, 16, 18, 20, 22, 24, 26, 28, 30, 0, 2, 4, 6, 8, 10, 12, 14
;; Refresh X2,Y2
ADD $addr_y, #64
MOV R11, #16
BL refresh
;; M22 = X2 * Y2
rec_mat_mult_d16 $x_1, $x_2, $y_1, $y_2, $tmp, $addr_x, $addr_y, $addr_m, $addr_r, $shift_m, 16, 18, 20, 22, 24, 26, 28, 30, 16, 18, 20, 22, 24, 26, 28, 30
SUB $addr_x, #64
SUB $addr_y, #64
MEND
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; BBPPTV MULTIPLICATION FUNCTION ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MAT MULT INDUCTION FUNCTION ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
mat_mult
IF MASKING_ORDER = 2
MOV R11, #0
MOV R12, #0
BL rec_mat_mult_d2
ELIF MASKING_ORDER = 4
rec_mat_mult_d4 R3,R4,R5,R6,R10,R0,R1,R8,R7,R9,0,2,0,2
ELIF MASKING_ORDER = 8
rec_mat_mult_d8 R3,R4,R5,R6,R10,R0,R1,R8,R7,R9,0,2,4,6,0,2,4,6
ELIF MASKING_ORDER = 16
rec_mat_mult_d16 R3,R4,R5,R6,R10,R0,R1,R8,R7,R9,0,2,4,6,8,10,12,14,0,2,4,6,8,10,12,14
ELIF MASKING_ORDER = 32
rec_mat_mult_d32 R3,R4,R5,R6,R10,R0,R1,R8,R7,R9
ENDIF
B end_mat_mult
LTORG
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; BCPZ MULTIPLICATION ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
function_bcpz_mult
;; ------------------------------------------------------------------------
;; Init phase
push{LR}
LDR R8, =matmultTable
LDR R7, =RNGTab
;; ------------------------------------------------------------------------
;; computation of the matrix of cross products
B mat_mult
end_mat_mult
;; ------------------------------------------------------------------------
;; c_i = Mii
MOV R12, #0
loop0bcpz
MOV R5, #MASKING_ORDER
MUL R4, R5, R12
ADD R4, R12
LDR R6, [R8,R4, LSL #2]
STR R6, [R2,R12, LSL #2]
;; loop 0 processing
ADD R12, #1
CMP R12, #MASKING_ORDER
BNE loop0bcpz
;; ------------------------------------------------------------------------
;; Cross products computation
MOV R12, #0
loop1bcpz
ADD R11, R12, #1
loop2bcpz
;; s <-$ F
get_random R3,R7
;; c_i += s
LDR R6, [R2,R12, LSL #2]
EOR R6, R3
STR R6, [R2,R12, LSL #2]
;; s' = s + Mij
MOV R5, #MASKING_ORDER
MUL R4, R5, R12
ADD R4, R11
LDR R6, [R8,R4, LSL #2]
EOR R3, R6
;; s' += Mji
MOV R5, #MASKING_ORDER
MUL R4, R5, R11
ADD R4, R12
LDR R6, [R8,R4, LSL #2]
EOR R3, R6
;; c_j += s'
LDR R6, [R2,R11, LSL #2]
EOR R6, R3
STR R6, [R2,R11, LSL #2]
;; loop 2 processing
ADD R11, #1
CMP R11, #MASKING_ORDER
BNE loop2bcpz
;; loop 1 processing
ADD R12, #1
CMP R12, #(MASKING_ORDER-1)
BNE loop1bcpz
pop{LR}
BX LR
LTORG
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; ;;
;; MAT MULT TABLE USED FOR BCPZ MULTIPLICATION ;;
;; ;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
AREA bcpz_data, DATA, READWRITE
matmultTable % 4*(MASKING_ORDER)*(MASKING_ORDER)