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locks; strict; comment @;; @; 1.1 date 2011.06.20.05.54.44; author mrg; state Exp; branches 1.1.1.1; next ; 1.1.1.1 date 2011.06.20.05.54.44; author mrg; state Exp; branches; next 1.1.1.2; 1.1.1.2 date 2017.08.22.09.40.48; author mrg; state Exp; branches; next ; commitid W5kmAIk8hwVpSb4A; desc @@ 1.1 log @Initial revision @ text @dnl Alpha mpn_divrem_2 -- Divide an mpn number by a normalized 2-limb number. dnl Copyright 2007, 2008 Free Software Foundation, Inc. dnl This file is part of the GNU MP Library. dnl The GNU MP Library is free software; you can redistribute it and/or modify dnl it under the terms of the GNU Lesser General Public License as published dnl by the Free Software Foundation; either version 3 of the License, or (at dnl your option) any later version. 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 Lesser General Public dnl License for more details. dnl You should have received a copy of the GNU Lesser General Public License dnl along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. include(`../config.m4') C norm frac C ev4 C ev5 70 70 C ev6 29 29 C TODO C * Perhaps inline mpn_invert_limb, that would allow us to not save/restore C any registers (thus save ~10 cycles per call). C * Use negated d1 and/or d0 to speed carry propagation. Might save a cycle C or two. C * Check cluster delays (for ev6). We very likely could save some cycles. C * Use branch-free code for computing di. C * CAVEAT: We rely on r19 not being clobbered by mpn_invert_limb call. C INPUT PARAMETERS define(`qp', `r16') define(`fn', `r17') define(`up_param', `r18') define(`un_param', `r19') define(`dp', `r20') ASM_START() PROLOGUE(mpn_divrem_2) ldgp r29, 0(r27) lda r30, -80(r30) stq r26, 0(r30) stq r9, 8(r30) stq r10, 16(r30) stq r11, 24(r30) stq r12, 32(r30) stq r13, 40(r30) C stq r14, 48(r30) stq r15, 56(r30) .prologue 1 stq r16, 64(r30) bis r31, r17, r15 s8addq r19, r18, r13 lda r13, -24(r13) ldq r12, 8(r20) ldq r10, 0(r20) ldq r11, 16(r13) ldq r9, 8(r13) bis r31, r31, r3 C most_significant_q_limb = 0 cmpult r11, r12, r1 bne r1, L(L8) cmpule r11, r12, r1 cmpult r9, r10, r2 and r1, r2, r1 bne r1, L(L8) subq r11, r12, r11 subq r11, r2, r11 subq r9, r10, r9 lda r3, 1(r31) C most_significant_q_limb = 1 L(L8): stq r3, 72(r30) addq r15, r19, r19 lda r19, -3(r19) blt r19, L(L10) bis r31, r12, r16 jsr r26, mpn_invert_limb ldgp r29, 0(r26) mulq r0, r12, r4 C t0 = LO(di * d1) umulh r0, r10, r2 C s1 = HI(di * d0) addq r4, r10, r4 C t0 += d0 cmpule r10, r4, r7 C (t0 < d0) addq r4, r2, r4 C t0 += s1 cmpult r4, r2, r1 subq r1, r7, r7 C t1 (-1, 0, or 1) blt r7, L(L42) L(L22): lda r0, -1(r0) C di-- cmpult r4, r12, r1 C cy for: t0 -= d1 (below) subq r7, r1, r7 C t1 -= cy subq r4, r12, r4 C t0 -= d1 bge r7, L(L22) L(L42): ldq r16, 64(r30) s8addq r19, r16, r16 ALIGN(16) L(loop): mulq r11, r0, r5 C q0 (early) umulh r11, r0, r6 C q (early) addq r5, r9, r8 C q0 += n1 addq r6, r11, r6 C q += n2 cmpult r8, r5, r1 C cy for: q0 += n1 addq r6, r1, r6 C q += cy unop mulq r12, r6, r1 C LO(d1 * q) umulh r10, r6, r7 C t1 = HI(d0 * q) subq r9, r1, r9 C n1 -= LO(d1 * q) mulq r10, r6, r4 C t0 = LO(d0 * q) unop cmple r15, r19, r5 C condition and n0... beq r5, L(L31) ldq r5, 0(r13) lda r13, -8(r13) L(L31): subq r9, r12, r9 C n1 -= d1 cmpult r5, r10, r1 C subq r9, r1, r9 C subq r5, r10, r5 C n0 -= d0 subq r9, r7, r9 C n1 -= t0 cmpult r5, r4, r1 C subq r9, r1, r2 C subq r5, r4, r5 C n0 -= t1 cmpult r2, r8, r1 C (n1 < q0) addq r6, r1, r6 C q += cond lda r1, -1(r1) C -(n1 >= q0) and r1, r10, r4 C addq r5, r4, r9 C n0 += mask & d0 and r1, r12, r1 C cmpult r9, r5, r11 C cy for: n0 += mask & d0 addq r2, r1, r1 C n1 += mask & d1 addq r1, r11, r11 C n1 += cy cmpult r11, r12, r1 C beq r1, L(fix) C L(bck): stq r6, 0(r16) lda r16, -8(r16) lda r19, -1(r19) bge r19, L(loop) L(L10): stq r9, 8(r13) stq r11, 16(r13) ldq r0, 72(r30) ldq r26, 0(r30) ldq r9, 8(r30) ldq r10, 16(r30) ldq r11, 24(r30) ldq r12, 32(r30) ldq r13, 40(r30) C ldq r14, 48(r30) ldq r15, 56(r30) lda r30, 80(r30) ret r31, (r26), 1 L(fix): cmpule r11, r12, r1 cmpult r9, r10, r2 and r1, r2, r1 bne r1, L(bck) subq r11, r12, r11 subq r11, r2, r11 subq r9, r10, r9 lda r6, 1(r6) br L(bck) EPILOGUE() ASM_END() @ 1.1.1.1 log @initial import of GMP 5.0.2. GNU MP is a library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating point numbers. It has a rich set of functions, and the functions have a regular interface. GMP is necessary for GCC >= 4.2. @ text @@ 1.1.1.2 log @initial import of GMP 6.1.2. main changes from 5.1.3 below. notes: - support for thumb-less ARM chips was in our port of 5.1.3, but a similar method has been provided upstream now - someone should look at the AVX failure reports, and fix them Changes between GMP version 6.1.0 and 6.1.1 FEATURES * Work around faulty cpuid on some recent Intel chips (this allows GMP to run on Skylake Pentiums). * Support thumb-less ARM chips. Changes between GMP version 6.0.* and 6.1.0 BUGS FIXED * The public function mpn_com is now correctly declared in gmp.h. * Healed possible failures of mpn_sec_sqr for non-cryptographic sizes for some obsolete CPUs. * Various problems related to precision for mpf have been fixed. * Fixed ABI incompatible stack alignment in calls from assembly code. * Fixed PIC bug in popcount affecting Intel processors using the 32-bit ABI. SPEEDUPS * Speedup for Intel Broadwell and Skylake through assembly code making use of new ADX instructions. * Square root is now faster when the remainder is not needed. Also the speed to compute the k-th root improved, for small sizes. FEATURES * New C++ functions gcd and lcm for mpz_class. * New public mpn functions mpn_divexact_1, mpn_zero_p, and mpn_cnd_swap. * New public mpq_cmp_z function, to efficiently compare rationals with integers. * Support for more 32-bit arm processors. * Support for AVX-less modern x86 CPUs. (Such support might be missing either because the CPU vendor chose to disable AVX, or because the running kernel lacks AVX context switch support.) * Support for NetBSD under Xen; we switch off AVX unconditionally under NetBSD since a bug in NetBSD makes AVX fail under Xen. MISC * Tuned values for FFT multiplications are provided for larger number on many platforms. Changes between GMP version 5.1.* and 6.0.0 BUGS FIXED * The function mpz_invert now considers any number invertible in Z/1Z. * The mpn multiply code now handles operands of more than 2^31 limbs correctly. (Note however that the mpz code is limited to 2^32 bits on 32-bit hosts and 2^37 bits on 64-bit hosts.) SPEEDUPS * Plain division of large operands is faster and more monotonous in operand size. * Major speedup for ARM, in particular ARM Cortex-A15, thanks to improved assembly. * Speedup for Intel Sandy Bridge, Ivy Bridge, Haswell, thanks to rewritten and vastly expanded assembly support. Speedup also for the older Core 2 and Nehalem. * Faster mixed arithmetic between mpq_class and double. FEATURES * Support for new Intel and AMD CPUs. * New public functions mpn_sec_mul and mpn_sec_sqr, implementing side-channel silent multiplication and squaring. * New public functions mpn_sec_div_qr and mpn_sec_div_r, implementing side-channel silent division. * New public functions mpn_cnd_add_n and mpn_cnd_sub_n. Side-channel silent conditional addition and subtraction. * New public function mpn_sec_powm, implementing side-channel silent modexp. * New public function mpn_sec_invert, implementing side-channel silent modular inversion. * Better support for applications which use the mpz_t type, but nevertheless need to call some of the lower-level mpn functions. See the documentation for mpz_limbs_read and related functions. @ text @d3 1 a3 1 dnl Copyright 2007, 2008, 2013 Free Software Foundation, Inc. d6 1 a6 1 dnl d8 4 a11 14 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 d14 5 a18 6 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/. d44 2 a45 1 PROLOGUE(mpn_divrem_2,gp) d83 1 a83 1 LDGP( r29, 0(r26)) @