dnl ARM v6 mpn_sqr_basecase. dnl Contributed to the GNU project by Torbjörn Granlund. dnl Copyright 2012, 2013 Free Software Foundation, Inc. dnl This file is part of the GNU MP Library. dnl dnl The GNU MP Library is free software; you can redistribute it and/or modify dnl it under the terms of either: dnl dnl * the GNU Lesser General Public License as published by the Free dnl Software Foundation; either version 3 of the License, or (at your dnl option) any later version. dnl dnl or dnl dnl * the GNU General Public License as published by the Free Software dnl Foundation; either version 2 of the License, or (at your option) any dnl later version. dnl dnl or both in parallel, as here. dnl dnl The GNU MP Library is distributed in the hope that it will be useful, but dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License dnl for more details. dnl dnl You should have received copies of the GNU General Public License and the dnl GNU Lesser General Public License along with the GNU MP Library. If not, dnl see https://www.gnu.org/licenses/. include(`../config.m4') C Code structure: C C C m_2(0m4) m_2(2m4) m_2(1m4) m_2(3m4) C | | | | C | | | | C | | | | C \|/ \|/ \|/ \|/ C ____________ ____________ C / \ / \ C \|/ \ \|/ \ C am_2(3m4) am_2(1m4) am_2(0m4) am_2(2m4) C \ /|\ \ /|\ C \____________/ \____________/ C \ / C \ / C \ / C tail(0m2) tail(1m2) C \ / C \ / C sqr_diag_addlsh1 C TODO C * Further tweak counter and updates in outer loops. (This could save C perhaps 5n cycles). C * Try to use fewer register. Perhaps coalesce r9 branch target and n_saved. C (This could save 2-3 cycles for n > 4.) C * Optimise sqr_diag_addlsh1 loop. (This could save O(n) cycles.) C * Implement larger final corners (xit/tix). Also stop loops earlier C suppressing writes of upper-most rp[] values. (This could save 10-20 C cycles for n > 4.) C * Is the branch table really faster than discrete branches? define(`rp', r0) define(`up', r1) define(`n', r2) define(`v0', r3) define(`v1', r6) define(`i', r8) define(`n_saved', r14) define(`cya', r11) define(`cyb', r12) define(`u0', r7) define(`u1', r9) ASM_START() PROLOGUE(mpn_sqr_basecase) and r12, n, #3 cmp n, #4 addgt r12, r12, #4 add pc, pc, r12, lsl #2 nop b L(4) b L(1) b L(2) b L(3) b L(0m4) b L(1m4) b L(2m4) b L(3m4) L(1m4): push {r4-r10,r11,r14} mov n_saved, n sub i, n, #4 sub n, n, #2 add r10, pc, #L(am2_2m4)-.-8 ldm up, {v0,v1,u0} sub up, up, #4 mov cyb, #0 mov r5, #0 umull r4, cya, v1, v0 str r4, [rp], #-12 mov r4, #0 b L(ko0) L(3m4): push {r4-r10,r11,r14} mov n_saved, n sub i, n, #4 sub n, n, #2 add r10, pc, #L(am2_0m4)-.-8 ldm up, {v0,v1,u0} add up, up, #4 mov cyb, #0 mov r5, #0 umull r4, cya, v1, v0 str r4, [rp], #-4 mov r4, #0 b L(ko2) L(2m4): push {r4-r10,r11,r14} mov n_saved, n sub i, n, #4 sub n, n, #2 add r10, pc, #L(am2_3m4)-.-8 ldm up, {v0,v1,u1} mov cyb, #0 mov r4, #0 umull r5, cya, v1, v0 str r5, [rp], #-8 mov r5, #0 b L(ko1) L(0m4): push {r4-r10,r11,r14} mov n_saved, n sub i, n, #4 sub n, n, #2 add r10, pc, #L(am2_1m4)-.-8 ldm up, {v0,v1,u1} mov cyb, #0 mov r4, #0 add up, up, #8 umull r5, cya, v1, v0 str r5, [rp, #0] mov r5, #0 L(top): ldr u0, [up, #4] umaal r4, cya, u1, v0 str r4, [rp, #4] mov r4, #0 umaal r5, cyb, u1, v1 L(ko2): ldr u1, [up, #8] umaal r5, cya, u0, v0 str r5, [rp, #8] mov r5, #0 umaal r4, cyb, u0, v1 L(ko1): ldr u0, [up, #12] umaal r4, cya, u1, v0 str r4, [rp, #12] mov r4, #0 umaal r5, cyb, u1, v1 L(ko0): ldr u1, [up, #16]! umaal r5, cya, u0, v0 str r5, [rp, #16]! mov r5, #0 umaal r4, cyb, u0, v1 subs i, i, #4 bhi L(top) bx r10 L(evnloop): subs i, n, #4 sub n, n, #2 blt L(tix) ldm up, {v0,v1,u0} add up, up, #4 mov cya, #0 mov cyb, #0 ldm rp, {r4,r5} sub rp, rp, #4 umaal r4, cya, v1, v0 str r4, [rp, #4] ldr r4, [rp, #12] b L(lo2) L(ua2): ldr u0, [up, #4] umaal r4, cya, u1, v0 str r4, [rp, #4] ldr r4, [rp, #12] umaal r5, cyb, u1, v1 L(lo2): ldr u1, [up, #8] umaal r5, cya, u0, v0 str r5, [rp, #8] ldr r5, [rp, #16] umaal r4, cyb, u0, v1 ldr u0, [up, #12] umaal r4, cya, u1, v0 str r4, [rp, #12] ldr r4, [rp, #20] umaal r5, cyb, u1, v1 ldr u1, [up, #16]! umaal r5, cya, u0, v0 str r5, [rp, #16]! ldr r5, [rp, #8] umaal r4, cyb, u0, v1 subs i, i, #4 bhi L(ua2) L(am2_0m4): umaal r4, cya, u1, v0 ldr u0, [up, #4] umaal r5, cyb, u1, v1 str r4, [rp, #4] umaal r5, cya, u0, v0 umaal cya, cyb, u0, v1 str r5, [rp, #8] str cya, [rp, #12] str cyb, [rp, #16] sub up, up, n, lsl #2 sub rp, rp, n, lsl #2 add up, up, #8 sub i, n, #4 sub n, n, #2 ldm up, {v0,v1,u0} sub up, up, #4 mov cya, #0 mov cyb, #0 ldr r4, [rp, #24] ldr r5, [rp, #28] add rp, rp, #12 umaal r4, cya, v1, v0 str r4, [rp, #12] ldr r4, [rp, #20] b L(lo0) L(ua0): ldr u0, [up, #4] umaal r4, cya, u1, v0 str r4, [rp, #4] ldr r4, [rp, #12] umaal r5, cyb, u1, v1 ldr u1, [up, #8] umaal r5, cya, u0, v0 str r5, [rp, #8] ldr r5, [rp, #16] umaal r4, cyb, u0, v1 ldr u0, [up, #12] umaal r4, cya, u1, v0 str r4, [rp, #12] ldr r4, [rp, #20] umaal r5, cyb, u1, v1 L(lo0): ldr u1, [up, #16]! umaal r5, cya, u0, v0 str r5, [rp, #16]! ldr r5, [rp, #8] umaal r4, cyb, u0, v1 subs i, i, #4 bhi L(ua0) L(am2_2m4): umaal r4, cya, u1, v0 ldr u0, [up, #4] umaal r5, cyb, u1, v1 str r4, [rp, #4] umaal r5, cya, u0, v0 umaal cya, cyb, u0, v1 str r5, [rp, #8] str cya, [rp, #12] str cyb, [rp, #16] sub up, up, n, lsl #2 sub rp, rp, n, lsl #2 add up, up, #8 add rp, rp, #24 b L(evnloop) L(oddloop): subs i, n, #4 sub n, n, #2 blt L(xit) ldm up, {v0,v1,u1} mov cya, #0 mov cyb, #0 sub rp, rp, #8 ldr r5, [rp, #8] ldr r4, [rp, #12] umaal r5, cya, v1, v0 str r5, [rp, #8] ldr r5, [rp, #16] b L(lo1) L(ua1): ldr u0, [up, #4] umaal r4, cya, u1, v0 str r4, [rp, #4] ldr r4, [rp, #12] umaal r5, cyb, u1, v1 ldr u1, [up, #8] umaal r5, cya, u0, v0 str r5, [rp, #8] ldr r5, [rp, #16] umaal r4, cyb, u0, v1 L(lo1): ldr u0, [up, #12] umaal r4, cya, u1, v0 str r4, [rp, #12] ldr r4, [rp, #20] umaal r5, cyb, u1, v1 ldr u1, [up, #16]! umaal r5, cya, u0, v0 str r5, [rp, #16]! ldr r5, [rp, #8] umaal r4, cyb, u0, v1 subs i, i, #4 bhi L(ua1) L(am2_3m4): umaal r4, cya, u1, v0 ldr u0, [up, #4] umaal r5, cyb, u1, v1 str r4, [rp, #4] umaal r5, cya, u0, v0 umaal cya, cyb, u0, v1 str r5, [rp, #8] str cya, [rp, #12] str cyb, [rp, #16] sub up, up, n, lsl #2 sub rp, rp, n, lsl #2 add up, up, #8 add rp, rp, #24 subs i, n, #4 sub n, n, #2 ldm up, {v0,v1,u1} mov cya, #0 mov cyb, #0 ldr r5, [rp, #0] ldr r4, [rp, #4] add up, up, #8 umaal r5, cya, v1, v0 str r5, [rp, #0] ldr r5, [rp, #8] bls L(e3) L(ua3): ldr u0, [up, #4] umaal r4, cya, u1, v0 str r4, [rp, #4] ldr r4, [rp, #12] umaal r5, cyb, u1, v1 ldr u1, [up, #8] umaal r5, cya, u0, v0 str r5, [rp, #8] ldr r5, [rp, #16] umaal r4, cyb, u0, v1 ldr u0, [up, #12] umaal r4, cya, u1, v0 str r4, [rp, #12] ldr r4, [rp, #20] umaal r5, cyb, u1, v1 ldr u1, [up, #16]! umaal r5, cya, u0, v0 str r5, [rp, #16]! ldr r5, [rp, #8] umaal r4, cyb, u0, v1 subs i, i, #4 bhi L(ua3) L(e3): L(am2_1m4): umaal r4, cya, u1, v0 ldr u0, [up, #4] umaal r5, cyb, u1, v1 str r4, [rp, #4] umaal r5, cya, u0, v0 umaal cya, cyb, u0, v1 str r5, [rp, #8] str cya, [rp, #12] str cyb, [rp, #16] sub up, up, n, lsl #2 sub rp, rp, n, lsl #2 add up, up, #8 add rp, rp, #24 b L(oddloop) L(xit): ldm up!, {v0,u0} ldr cya, [rp], #12 mov cyb, #0 umaal cya, cyb, u0, v0 b L(sqr_diag_addlsh1) L(tix): ldm up!, {v0,v1,u0} ldm rp, {r4,r5} mov cya, #0 mov cyb, #0 umaal r4, cya, v1, v0 umaal r5, cya, u0, v0 stm rp, {r4,r5} umaal cya, cyb, u0, v1 add rp, rp, #20 C b L(sqr_diag_addlsh1) define(`w0', r6) define(`w1', r7) define(`w2', r8) define(`rbx', r9) L(sqr_diag_addlsh1): str cya, [rp, #-12] str cyb, [rp, #-8] sub n, n_saved, #1 sub up, up, n_saved, lsl #2 sub rp, rp, n_saved, lsl #3 ldr r3, [up], #4 umull w1, r5, r3, r3 mov w2, #0 mov r10, #0 C cmn r0, #0 C clear cy (already clear by luck) b L(lm) L(tsd): adds w0, w0, rbx adcs w1, w1, r4 str w0, [rp, #0] L(lm): ldr w0, [rp, #4] str w1, [rp, #4] ldr w1, [rp, #8]! add rbx, r5, w2 adcs w0, w0, w0 ldr r3, [up], #4 adcs w1, w1, w1 adc w2, r10, r10 umull r4, r5, r3, r3 subs n, n, #1 bne L(tsd) adds w0, w0, rbx adcs w1, w1, r4 adc w2, r5, w2 stm rp, {w0,w1,w2} pop {r4-r10,r11,pc} C Straight line code for n <= 4 L(1): ldr r3, [up, #0] umull r1, r2, r3, r3 stm rp, {r1,r2} bx r14 L(2): push {r4-r5} ldm up, {r5,r12} umull r1, r2, r5, r5 umull r3, r4, r12, r12 umull r5, r12, r5, r12 adds r5, r5, r5 adcs r12, r12, r12 adc r4, r4, #0 adds r2, r2, r5 adcs r3, r3, r12 adc r4, r4, #0 stm rp, {r1,r2,r3,r4} pop {r4-r5} bx r14 L(3): push {r4-r11} ldm up, {r7,r8,r9} umull r1, r2, r7, r7 umull r3, r4, r8, r8 umull r5, r6, r9, r9 umull r10, r11, r7, r8 mov r12, #0 umlal r11, r12, r7, r9 mov r7, #0 umlal r12, r7, r8, r9 adds r10, r10, r10 adcs r11, r11, r11 adcs r12, r12, r12 adcs r7, r7, r7 adc r6, r6, #0 adds r2, r2, r10 adcs r3, r3, r11 adcs r4, r4, r12 adcs r5, r5, r7 adc r6, r6, #0 stm rp, {r1,r2,r3,r4,r5,r6} pop {r4-r11} bx r14 L(4): push {r4-r11, r14} ldm up, {r9,r10,r11,r12} umull r1, r2, r9, r9 umull r3, r4, r10, r10 umull r5, r6, r11, r11 umull r7, r8, r12, r12 stm rp, {r1,r2,r3,r4,r5,r6,r7} umull r1, r2, r9, r10 mov r3, #0 umlal r2, r3, r9, r11 mov r4, #0 umlal r3, r4, r9, r12 mov r5, #0 umlal r3, r5, r10, r11 umaal r4, r5, r10, r12 mov r6, #0 umlal r5, r6, r11, r12 adds r1, r1, r1 adcs r2, r2, r2 adcs r3, r3, r3 adcs r4, r4, r4 adcs r5, r5, r5 adcs r6, r6, r6 adc r7, r8, #0 add rp, rp, #4 ldm rp, {r8,r9,r10,r11,r12,r14} adds r1, r1, r8 adcs r2, r2, r9 adcs r3, r3, r10 adcs r4, r4, r11 adcs r5, r5, r12 adcs r6, r6, r14 adc r7, r7, #0 stm rp, {r1,r2,r3,r4,r5,r6,r7} pop {r4-r11, pc} EPILOGUE()