2676 lines
54 KiB
Perl
Executable file
2676 lines
54 KiB
Perl
Executable file
#!/usr/bin/env perl
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#
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# Copyright Supranational LLC
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# Licensed under the Apache License, Version 2.0, see LICENSE for details.
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# SPDX-License-Identifier: Apache-2.0
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$flavour = shift;
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$output = shift;
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if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
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$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
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$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
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( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
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( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
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die "can't locate x86_64-xlate.pl";
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open STDOUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""
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or die "can't call $xlate: $!";
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# common argument layout
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($r_ptr,$a_ptr,$b_org,$n_ptr,$n0) = ("%rdi","%rsi","%rdx","%rcx","%r8");
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$b_ptr = "%rbx";
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# common accumulator layout
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@acc=map("%r$_",(8..15));
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########################################################################
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{ my @acc=(@acc,"%rax","%rbx","%rbp",$a_ptr); # all registers are affected
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# except for $n_ptr and $r_ptr
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$code.=<<___;
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.text
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########################################################################
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# Double-width subtraction modulo n<<384, as opposite to naively
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# expected modulo n*n. It works because n<<384 is the actual
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# input boundary condition for Montgomery reduction, not n*n.
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# Just in case, this is duplicated, but only one module is
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# supposed to be linked...
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.type __sub_mod_384x384,\@abi-omnipotent
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.align 32
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__sub_mod_384x384:
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mov 8*0($a_ptr), @acc[0]
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mov 8*1($a_ptr), @acc[1]
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mov 8*2($a_ptr), @acc[2]
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mov 8*3($a_ptr), @acc[3]
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mov 8*4($a_ptr), @acc[4]
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mov 8*5($a_ptr), @acc[5]
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mov 8*6($a_ptr), @acc[6]
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sub 8*0($b_org), @acc[0]
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mov 8*7($a_ptr), @acc[7]
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sbb 8*1($b_org), @acc[1]
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mov 8*8($a_ptr), @acc[8]
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sbb 8*2($b_org), @acc[2]
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mov 8*9($a_ptr), @acc[9]
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sbb 8*3($b_org), @acc[3]
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mov 8*10($a_ptr), @acc[10]
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sbb 8*4($b_org), @acc[4]
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mov 8*11($a_ptr), @acc[11]
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sbb 8*5($b_org), @acc[5]
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mov @acc[0], 8*0($r_ptr)
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sbb 8*6($b_org), @acc[6]
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mov 8*0($n_ptr), @acc[0]
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mov @acc[1], 8*1($r_ptr)
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sbb 8*7($b_org), @acc[7]
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mov 8*1($n_ptr), @acc[1]
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mov @acc[2], 8*2($r_ptr)
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sbb 8*8($b_org), @acc[8]
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mov 8*2($n_ptr), @acc[2]
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mov @acc[3], 8*3($r_ptr)
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sbb 8*9($b_org), @acc[9]
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mov 8*3($n_ptr), @acc[3]
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mov @acc[4], 8*4($r_ptr)
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sbb 8*10($b_org), @acc[10]
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mov 8*4($n_ptr), @acc[4]
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mov @acc[5], 8*5($r_ptr)
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sbb 8*11($b_org), @acc[11]
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mov 8*5($n_ptr), @acc[5]
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sbb $b_org, $b_org
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and $b_org, @acc[0]
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and $b_org, @acc[1]
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and $b_org, @acc[2]
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and $b_org, @acc[3]
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and $b_org, @acc[4]
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and $b_org, @acc[5]
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add @acc[0], @acc[6]
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adc @acc[1], @acc[7]
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mov @acc[6], 8*6($r_ptr)
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adc @acc[2], @acc[8]
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mov @acc[7], 8*7($r_ptr)
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adc @acc[3], @acc[9]
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mov @acc[8], 8*8($r_ptr)
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adc @acc[4], @acc[10]
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mov @acc[9], 8*9($r_ptr)
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adc @acc[5], @acc[11]
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mov @acc[10], 8*10($r_ptr)
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mov @acc[11], 8*11($r_ptr)
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ret
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.size __sub_mod_384x384,.-__sub_mod_384x384
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.type __add_mod_384,\@abi-omnipotent
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.align 32
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__add_mod_384:
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mov 8*0($a_ptr), @acc[0]
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mov 8*1($a_ptr), @acc[1]
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mov 8*2($a_ptr), @acc[2]
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mov 8*3($a_ptr), @acc[3]
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mov 8*4($a_ptr), @acc[4]
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mov 8*5($a_ptr), @acc[5]
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add 8*0($b_org), @acc[0]
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adc 8*1($b_org), @acc[1]
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adc 8*2($b_org), @acc[2]
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mov @acc[0], @acc[6]
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adc 8*3($b_org), @acc[3]
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mov @acc[1], @acc[7]
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adc 8*4($b_org), @acc[4]
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mov @acc[2], @acc[8]
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adc 8*5($b_org), @acc[5]
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mov @acc[3], @acc[9]
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sbb $b_org, $b_org
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sub 8*0($n_ptr), @acc[0]
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sbb 8*1($n_ptr), @acc[1]
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mov @acc[4], @acc[10]
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sbb 8*2($n_ptr), @acc[2]
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sbb 8*3($n_ptr), @acc[3]
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sbb 8*4($n_ptr), @acc[4]
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mov @acc[5], @acc[11]
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sbb 8*5($n_ptr), @acc[5]
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sbb \$0, $b_org
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cmovc @acc[6], @acc[0]
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cmovc @acc[7], @acc[1]
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cmovc @acc[8], @acc[2]
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mov @acc[0], 8*0($r_ptr)
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cmovc @acc[9], @acc[3]
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mov @acc[1], 8*1($r_ptr)
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cmovc @acc[10], @acc[4]
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mov @acc[2], 8*2($r_ptr)
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cmovc @acc[11], @acc[5]
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mov @acc[3], 8*3($r_ptr)
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mov @acc[4], 8*4($r_ptr)
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mov @acc[5], 8*5($r_ptr)
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ret
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.size __add_mod_384,.-__add_mod_384
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.type __sub_mod_384,\@abi-omnipotent
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.align 32
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__sub_mod_384:
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mov 8*0($a_ptr), @acc[0]
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mov 8*1($a_ptr), @acc[1]
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mov 8*2($a_ptr), @acc[2]
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mov 8*3($a_ptr), @acc[3]
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mov 8*4($a_ptr), @acc[4]
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mov 8*5($a_ptr), @acc[5]
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__sub_mod_384_a_is_loaded:
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sub 8*0($b_org), @acc[0]
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mov 8*0($n_ptr), @acc[6]
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sbb 8*1($b_org), @acc[1]
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mov 8*1($n_ptr), @acc[7]
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sbb 8*2($b_org), @acc[2]
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mov 8*2($n_ptr), @acc[8]
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sbb 8*3($b_org), @acc[3]
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mov 8*3($n_ptr), @acc[9]
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sbb 8*4($b_org), @acc[4]
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mov 8*4($n_ptr), @acc[10]
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sbb 8*5($b_org), @acc[5]
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mov 8*5($n_ptr), @acc[11]
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sbb $b_org, $b_org
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and $b_org, @acc[6]
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and $b_org, @acc[7]
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and $b_org, @acc[8]
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and $b_org, @acc[9]
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and $b_org, @acc[10]
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and $b_org, @acc[11]
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add @acc[6], @acc[0]
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adc @acc[7], @acc[1]
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mov @acc[0], 8*0($r_ptr)
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adc @acc[8], @acc[2]
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mov @acc[1], 8*1($r_ptr)
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adc @acc[9], @acc[3]
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mov @acc[2], 8*2($r_ptr)
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adc @acc[10], @acc[4]
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mov @acc[3], 8*3($r_ptr)
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adc @acc[11], @acc[5]
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mov @acc[4], 8*4($r_ptr)
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mov @acc[5], 8*5($r_ptr)
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ret
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.size __sub_mod_384,.-__sub_mod_384
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___
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}
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########################################################################
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# "Complex" multiplication and squaring. Use vanilla multiplication when
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# possible to fold reductions. I.e. instead of mul_mont, mul_mont
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# followed by add/sub_mod, it calls mul, mul, double-width add/sub_mod
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# followed by *common* reduction...
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{ my $frame = 5*8 + # place for argument off-load +
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3*768/8; # place for 3 768-bit temporary vectors
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$code.=<<___;
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.globl mul_mont_384x
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.hidden mul_mont_384x
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.type mul_mont_384x,\@function,5,"unwind"
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.align 32
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mul_mont_384x:
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.cfi_startproc
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push %rbp
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.cfi_push %rbp
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push %rbx
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.cfi_push %rbx
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push %r12
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.cfi_push %r12
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push %r13
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.cfi_push %r13
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push %r14
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.cfi_push %r14
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push %r15
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.cfi_push %r15
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sub \$$frame, %rsp
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.cfi_adjust_cfa_offset $frame
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.cfi_end_prologue
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mov $b_org, $b_ptr
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mov $r_ptr, 8*4(%rsp) # offload arguments
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mov $a_ptr, 8*3(%rsp)
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mov $b_org, 8*2(%rsp)
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mov $n_ptr, 8*1(%rsp)
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mov $n0, 8*0(%rsp)
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################################# mul_384(t0, a->re, b->re);
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#lea 0($b_btr), $b_ptr # b->re
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#lea 0($a_ptr), $a_ptr # a->re
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lea 40(%rsp), $r_ptr # t0
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call __mulq_384
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################################# mul_384(t1, a->im, b->im);
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lea 48($b_ptr), $b_ptr # b->im
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lea 48($a_ptr), $a_ptr # a->im
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lea 40+96(%rsp), $r_ptr # t1
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call __mulq_384
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################################# mul_384(t2, a->re+a->im, b->re+b->im);
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mov 8*1(%rsp), $n_ptr
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lea -48($a_ptr), $b_org
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lea 40+192+48(%rsp), $r_ptr
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call __add_mod_384
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mov 8*2(%rsp), $a_ptr
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lea 48($a_ptr), $b_org
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lea -48($r_ptr), $r_ptr
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call __add_mod_384
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lea ($r_ptr),$b_ptr
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lea 48($r_ptr),$a_ptr
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call __mulq_384
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################################# t2=t2-t0-t1
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lea ($r_ptr), $a_ptr # t2
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lea 40(%rsp), $b_org # t0
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mov 8*1(%rsp), $n_ptr
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call __sub_mod_384x384 # t2=t2-t0
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lea ($r_ptr), $a_ptr # t2
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lea -96($r_ptr), $b_org # t1
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call __sub_mod_384x384 # t2=t2-t1
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################################# t0=t0-t1
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lea 40(%rsp), $a_ptr
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lea 40+96(%rsp), $b_org
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lea 40(%rsp), $r_ptr
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call __sub_mod_384x384 # t0-t1
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mov $n_ptr, $b_ptr # n_ptr for redc_mont_384
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################################# redc_mont_384(ret->re, t0, mod, n0);
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lea 40(%rsp), $a_ptr # t0
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mov 8*0(%rsp), %rcx # n0 for redc_mont_384
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mov 8*4(%rsp), $r_ptr # ret->re
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call __mulq_by_1_mont_384
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call __redc_tail_mont_384
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################################# redc_mont_384(ret->im, t2, mod, n0);
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lea 40+192(%rsp), $a_ptr # t2
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mov 8*0(%rsp), %rcx # n0 for redc_mont_384
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lea 48($r_ptr), $r_ptr # ret->im
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call __mulq_by_1_mont_384
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call __redc_tail_mont_384
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lea $frame(%rsp), %r8 # size optimization
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mov 8*0(%r8),%r15
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.cfi_restore %r15
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mov 8*1(%r8),%r14
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.cfi_restore %r14
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mov 8*2(%r8),%r13
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.cfi_restore %r13
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mov 8*3(%r8),%r12
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.cfi_restore %r12
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mov 8*4(%r8),%rbx
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.cfi_restore %rbx
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mov 8*5(%r8),%rbp
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.cfi_restore %rbp
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lea 8*6(%r8),%rsp
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.cfi_adjust_cfa_offset -$frame-8*6
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.cfi_epilogue
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ret
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.cfi_endproc
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.size mul_mont_384x,.-mul_mont_384x
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___
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}
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{ my $frame = 4*8 + # place for argument off-load +
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2*384/8 + # place for 2 384-bit temporary vectors
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8; # align
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$code.=<<___;
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.globl sqr_mont_384x
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.hidden sqr_mont_384x
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.type sqr_mont_384x,\@function,4,"unwind"
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.align 32
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sqr_mont_384x:
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.cfi_startproc
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push %rbp
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.cfi_push %rbp
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push %rbx
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.cfi_push %rbx
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push %r12
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.cfi_push %r12
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push %r13
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.cfi_push %r13
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push %r14
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.cfi_push %r14
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push %r15
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.cfi_push %r15
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sub \$$frame, %rsp
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.cfi_adjust_cfa_offset $frame
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.cfi_end_prologue
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mov $n_ptr, 8*0(%rsp) # n0
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mov $b_org, $n_ptr # n_ptr
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mov $r_ptr, 8*1(%rsp) # to __mulq_mont_384
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mov $a_ptr, 8*2(%rsp)
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################################# add_mod_384(t0, a->re, a->im);
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lea 48($a_ptr), $b_org # a->im
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lea 32(%rsp), $r_ptr # t0
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call __add_mod_384
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################################# sub_mod_384(t1, a->re, a->im);
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mov 8*2(%rsp), $a_ptr # a->re
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lea 48($a_ptr), $b_org # a->im
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lea 32+48(%rsp), $r_ptr # t1
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call __sub_mod_384
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################################# mul_mont_384(ret->im, a->re, a->im, mod, n0);
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mov 8*2(%rsp), $a_ptr # a->re
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lea 48($a_ptr), $b_ptr # a->im
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mov 48($a_ptr), %rax # a->im
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mov 8*0($a_ptr), @acc[6] # a->re
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mov 8*1($a_ptr), @acc[7]
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mov 8*2($a_ptr), @acc[4]
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mov 8*3($a_ptr), @acc[5]
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call __mulq_mont_384
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___
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{
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my @acc = map("%r$_",14,15,8..11, # output from __mulq_mont_384
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12,13,"ax","bx","bp","si");
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$code.=<<___;
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add @acc[0], @acc[0] # add with itself
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adc @acc[1], @acc[1]
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adc @acc[2], @acc[2]
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mov @acc[0], @acc[6]
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adc @acc[3], @acc[3]
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mov @acc[1], @acc[7]
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adc @acc[4], @acc[4]
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mov @acc[2], @acc[8]
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adc @acc[5], @acc[5]
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mov @acc[3], @acc[9]
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sbb $b_org, $b_org
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sub 8*0($n_ptr), @acc[0]
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sbb 8*1($n_ptr), @acc[1]
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mov @acc[4], @acc[10]
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sbb 8*2($n_ptr), @acc[2]
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sbb 8*3($n_ptr), @acc[3]
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sbb 8*4($n_ptr), @acc[4]
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mov @acc[5], @acc[11]
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sbb 8*5($n_ptr), @acc[5]
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sbb \$0, $b_org
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cmovc @acc[6], @acc[0]
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cmovc @acc[7], @acc[1]
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cmovc @acc[8], @acc[2]
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mov @acc[0], 8*6($r_ptr) # ret->im
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cmovc @acc[9], @acc[3]
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mov @acc[1], 8*7($r_ptr)
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cmovc @acc[10], @acc[4]
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mov @acc[2], 8*8($r_ptr)
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cmovc @acc[11], @acc[5]
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mov @acc[3], 8*9($r_ptr)
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mov @acc[4], 8*10($r_ptr)
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mov @acc[5], 8*11($r_ptr)
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___
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}
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$code.=<<___;
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################################# mul_mont_384(ret->re, t0, t1, mod, n0);
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lea 32(%rsp), $a_ptr # t0
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lea 32+48(%rsp), $b_ptr # t1
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mov 32+48(%rsp), %rax # t1[0]
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mov 32+8*0(%rsp), @acc[6] # t0[0..3]
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mov 32+8*1(%rsp), @acc[7]
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mov 32+8*2(%rsp), @acc[4]
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mov 32+8*3(%rsp), @acc[5]
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call __mulq_mont_384
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lea $frame(%rsp), %r8 # size optimization
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mov 8*0(%r8),%r15
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.cfi_restore %r15
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mov 8*1(%r8),%r14
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.cfi_restore %r14
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mov 8*2(%r8),%r13
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.cfi_restore %r13
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mov 8*3(%r8),%r12
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.cfi_restore %r12
|
|
mov 8*4(%r8),%rbx
|
|
.cfi_restore %rbx
|
|
mov 8*5(%r8),%rbp
|
|
.cfi_restore %rbp
|
|
lea 8*6(%r8),%rsp
|
|
.cfi_adjust_cfa_offset -$frame-8*6
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_mont_384x,.-sqr_mont_384x
|
|
|
|
.globl mul_382x
|
|
.hidden mul_382x
|
|
.type mul_382x,\@function,4,"unwind"
|
|
.align 32
|
|
mul_382x:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$$frame, %rsp
|
|
.cfi_adjust_cfa_offset $frame
|
|
.cfi_end_prologue
|
|
|
|
lea 96($r_ptr), $r_ptr # ret->im
|
|
mov $a_ptr, 8*0(%rsp)
|
|
mov $b_org, 8*1(%rsp)
|
|
mov $r_ptr, 8*2(%rsp) # offload ret->im
|
|
mov $n_ptr, 8*3(%rsp)
|
|
|
|
################################# t0 = a->re + a->im
|
|
mov 8*0($a_ptr), @acc[0]
|
|
mov 8*1($a_ptr), @acc[1]
|
|
mov 8*2($a_ptr), @acc[2]
|
|
mov 8*3($a_ptr), @acc[3]
|
|
mov 8*4($a_ptr), @acc[4]
|
|
mov 8*5($a_ptr), @acc[5]
|
|
|
|
add 8*6($a_ptr), @acc[0]
|
|
adc 8*7($a_ptr), @acc[1]
|
|
adc 8*8($a_ptr), @acc[2]
|
|
adc 8*9($a_ptr), @acc[3]
|
|
adc 8*10($a_ptr), @acc[4]
|
|
adc 8*11($a_ptr), @acc[5]
|
|
|
|
mov @acc[0], 32+8*0(%rsp)
|
|
mov @acc[1], 32+8*1(%rsp)
|
|
mov @acc[2], 32+8*2(%rsp)
|
|
mov @acc[3], 32+8*3(%rsp)
|
|
mov @acc[4], 32+8*4(%rsp)
|
|
mov @acc[5], 32+8*5(%rsp)
|
|
|
|
################################# t1 = b->re + b->im
|
|
mov 8*0($b_org), @acc[0]
|
|
mov 8*1($b_org), @acc[1]
|
|
mov 8*2($b_org), @acc[2]
|
|
mov 8*3($b_org), @acc[3]
|
|
mov 8*4($b_org), @acc[4]
|
|
mov 8*5($b_org), @acc[5]
|
|
|
|
add 8*6($b_org), @acc[0]
|
|
adc 8*7($b_org), @acc[1]
|
|
adc 8*8($b_org), @acc[2]
|
|
adc 8*9($b_org), @acc[3]
|
|
adc 8*10($b_org), @acc[4]
|
|
adc 8*11($b_org), @acc[5]
|
|
|
|
mov @acc[0], 32+8*6(%rsp)
|
|
mov @acc[1], 32+8*7(%rsp)
|
|
mov @acc[2], 32+8*8(%rsp)
|
|
mov @acc[3], 32+8*9(%rsp)
|
|
mov @acc[4], 32+8*10(%rsp)
|
|
mov @acc[5], 32+8*11(%rsp)
|
|
|
|
################################# mul_384(ret->im, t0, t1);
|
|
lea 32+8*0(%rsp), $a_ptr # t0
|
|
lea 32+8*6(%rsp), $b_ptr # t1
|
|
call __mulq_384
|
|
|
|
################################# mul_384(ret->re, a->re, b->re);
|
|
mov 8*0(%rsp), $a_ptr
|
|
mov 8*1(%rsp), $b_ptr
|
|
lea -96($r_ptr), $r_ptr # ret->re
|
|
call __mulq_384
|
|
|
|
################################# mul_384(tx, a->im, b->im);
|
|
lea 48($a_ptr), $a_ptr
|
|
lea 48($b_ptr), $b_ptr
|
|
lea 32(%rsp), $r_ptr
|
|
call __mulq_384
|
|
|
|
################################# ret->im -= tx
|
|
mov 8*2(%rsp), $a_ptr # restore ret->im
|
|
lea 32(%rsp), $b_org
|
|
mov 8*3(%rsp), $n_ptr
|
|
mov $a_ptr, $r_ptr
|
|
call __sub_mod_384x384
|
|
|
|
################################# ret->im -= ret->re
|
|
lea 0($r_ptr), $a_ptr
|
|
lea -96($r_ptr), $b_org
|
|
call __sub_mod_384x384
|
|
|
|
################################# ret->re -= tx
|
|
lea -96($r_ptr), $a_ptr
|
|
lea 32(%rsp), $b_org
|
|
lea -96($r_ptr), $r_ptr
|
|
call __sub_mod_384x384
|
|
|
|
lea $frame(%rsp), %r8 # size optimization
|
|
mov 8*0(%r8),%r15
|
|
.cfi_restore %r15
|
|
mov 8*1(%r8),%r14
|
|
.cfi_restore %r14
|
|
mov 8*2(%r8),%r13
|
|
.cfi_restore %r13
|
|
mov 8*3(%r8),%r12
|
|
.cfi_restore %r12
|
|
mov 8*4(%r8),%rbx
|
|
.cfi_restore %rbx
|
|
mov 8*5(%r8),%rbp
|
|
.cfi_restore %rbp
|
|
lea 8*6(%r8),%rsp
|
|
.cfi_adjust_cfa_offset -$frame-8*6
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size mul_382x,.-mul_382x
|
|
___
|
|
}
|
|
{ my @acc=(@acc,"%rax","%rbx","%rbp",$b_org); # all registers are affected
|
|
# except for $n_ptr and $r_ptr
|
|
$code.=<<___;
|
|
.globl sqr_382x
|
|
.hidden sqr_382x
|
|
.type sqr_382x,\@function,3,"unwind"
|
|
.align 32
|
|
sqr_382x:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
push $a_ptr
|
|
.cfi_adjust_cfa_offset 8
|
|
.cfi_end_prologue
|
|
|
|
mov $b_org, $n_ptr
|
|
|
|
################################# t0 = a->re + a->im
|
|
mov 8*0($a_ptr), @acc[6]
|
|
mov 8*1($a_ptr), @acc[7]
|
|
mov 8*2($a_ptr), @acc[8]
|
|
mov 8*3($a_ptr), @acc[9]
|
|
mov 8*4($a_ptr), @acc[10]
|
|
mov 8*5($a_ptr), @acc[11]
|
|
|
|
mov @acc[6], @acc[0]
|
|
add 8*6($a_ptr), @acc[6]
|
|
mov @acc[7], @acc[1]
|
|
adc 8*7($a_ptr), @acc[7]
|
|
mov @acc[8], @acc[2]
|
|
adc 8*8($a_ptr), @acc[8]
|
|
mov @acc[9], @acc[3]
|
|
adc 8*9($a_ptr), @acc[9]
|
|
mov @acc[10], @acc[4]
|
|
adc 8*10($a_ptr), @acc[10]
|
|
mov @acc[11], @acc[5]
|
|
adc 8*11($a_ptr), @acc[11]
|
|
|
|
mov @acc[6], 8*0($r_ptr)
|
|
mov @acc[7], 8*1($r_ptr)
|
|
mov @acc[8], 8*2($r_ptr)
|
|
mov @acc[9], 8*3($r_ptr)
|
|
mov @acc[10], 8*4($r_ptr)
|
|
mov @acc[11], 8*5($r_ptr)
|
|
|
|
################################# t1 = a->re - a->im
|
|
lea 48($a_ptr), $b_org
|
|
lea 48($r_ptr), $r_ptr
|
|
call __sub_mod_384_a_is_loaded
|
|
|
|
################################# mul_384(ret->re, t0, t1);
|
|
lea ($r_ptr), $a_ptr
|
|
lea -48($r_ptr), $b_ptr
|
|
lea -48($r_ptr), $r_ptr
|
|
call __mulq_384
|
|
|
|
################################# mul_384(ret->im, a->re, a->im);
|
|
mov (%rsp), $a_ptr
|
|
lea 48($a_ptr), $b_ptr
|
|
lea 96($r_ptr), $r_ptr
|
|
call __mulq_384
|
|
|
|
mov 8*0($r_ptr), @acc[0] # double ret->im
|
|
mov 8*1($r_ptr), @acc[1]
|
|
mov 8*2($r_ptr), @acc[2]
|
|
mov 8*3($r_ptr), @acc[3]
|
|
mov 8*4($r_ptr), @acc[4]
|
|
mov 8*5($r_ptr), @acc[5]
|
|
mov 8*6($r_ptr), @acc[6]
|
|
mov 8*7($r_ptr), @acc[7]
|
|
mov 8*8($r_ptr), @acc[8]
|
|
mov 8*9($r_ptr), @acc[9]
|
|
mov 8*10($r_ptr), @acc[10]
|
|
add @acc[0], @acc[0]
|
|
mov 8*11($r_ptr), @acc[11]
|
|
adc @acc[1], @acc[1]
|
|
mov @acc[0], 8*0($r_ptr)
|
|
adc @acc[2], @acc[2]
|
|
mov @acc[1], 8*1($r_ptr)
|
|
adc @acc[3], @acc[3]
|
|
mov @acc[2], 8*2($r_ptr)
|
|
adc @acc[4], @acc[4]
|
|
mov @acc[3], 8*3($r_ptr)
|
|
adc @acc[5], @acc[5]
|
|
mov @acc[4], 8*4($r_ptr)
|
|
adc @acc[6], @acc[6]
|
|
mov @acc[5], 8*5($r_ptr)
|
|
adc @acc[7], @acc[7]
|
|
mov @acc[6], 8*6($r_ptr)
|
|
adc @acc[8], @acc[8]
|
|
mov @acc[7], 8*7($r_ptr)
|
|
adc @acc[9], @acc[9]
|
|
mov @acc[8], 8*8($r_ptr)
|
|
adc @acc[10], @acc[10]
|
|
mov @acc[9], 8*9($r_ptr)
|
|
adc @acc[11], @acc[11]
|
|
mov @acc[10], 8*10($r_ptr)
|
|
mov @acc[11], 8*11($r_ptr)
|
|
|
|
mov 8*1(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 8*2(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 8*3(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 8*4(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 8*5(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 8*6(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 8*7(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -8*7
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_382x,.-sqr_382x
|
|
___
|
|
}
|
|
{ ########################################################## 384-bit mul
|
|
my @acc=map("%r$_",("cx",8..12));
|
|
my $bi = "%rbp";
|
|
|
|
$code.=<<___;
|
|
.globl mul_384
|
|
.hidden mul_384
|
|
.type mul_384,\@function,3,"unwind"
|
|
.align 32
|
|
mul_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
.cfi_end_prologue
|
|
|
|
mov $b_org, $b_ptr
|
|
call __mulq_384
|
|
|
|
mov 0(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 8(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 16(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 24(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -24
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size mul_384,.-mul_384
|
|
|
|
.type __mulq_384,\@abi-omnipotent
|
|
.align 32
|
|
__mulq_384:
|
|
mov 8*0($b_ptr), %rax
|
|
|
|
mov %rax, $bi
|
|
mulq 8*0($a_ptr)
|
|
mov %rax, 8*0($r_ptr)
|
|
mov $bi, %rax
|
|
mov %rdx, @acc[0]
|
|
|
|
mulq 8*1($a_ptr)
|
|
add %rax, @acc[0]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[1]
|
|
|
|
mulq 8*2($a_ptr)
|
|
add %rax, @acc[1]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[2]
|
|
|
|
mulq 8*3($a_ptr)
|
|
add %rax, @acc[2]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[3]
|
|
|
|
mulq 8*4($a_ptr)
|
|
add %rax, @acc[3]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[4]
|
|
|
|
mulq 8*5($a_ptr)
|
|
add %rax, @acc[4]
|
|
mov 8*1($b_ptr), %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[5]
|
|
___
|
|
for(my $i=1; $i<6; $i++) {
|
|
my $b_next = $i<5 ? 8*($i+1)."($b_ptr)" : "%rax";
|
|
$code.=<<___;
|
|
mov %rax, $bi
|
|
mulq 8*0($a_ptr)
|
|
add %rax, @acc[0]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov @acc[0], 8*$i($r_ptr)
|
|
mov %rdx, @acc[0]
|
|
|
|
mulq 8*1($a_ptr)
|
|
add %rax, @acc[1]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[1], @acc[0]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[1]
|
|
|
|
mulq 8*2($a_ptr)
|
|
add %rax, @acc[2]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[2], @acc[1]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[2]
|
|
|
|
mulq 8*3($a_ptr)
|
|
add %rax, @acc[3]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[3], @acc[2]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[3]
|
|
|
|
mulq 8*4($a_ptr)
|
|
add %rax, @acc[4]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[4], @acc[3]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[4]
|
|
|
|
mulq 8*5($a_ptr)
|
|
add %rax, @acc[5]
|
|
mov $b_next, %rax
|
|
adc \$0, %rdx
|
|
add @acc[5], @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[5]
|
|
___
|
|
}
|
|
$code.=<<___;
|
|
mov @acc[0], 8*6($r_ptr)
|
|
mov @acc[1], 8*7($r_ptr)
|
|
mov @acc[2], 8*8($r_ptr)
|
|
mov @acc[3], 8*9($r_ptr)
|
|
mov @acc[4], 8*10($r_ptr)
|
|
mov @acc[5], 8*11($r_ptr)
|
|
|
|
ret
|
|
.size __mulq_384,.-__mulq_384
|
|
___
|
|
}
|
|
if (0) { ##############################################################
|
|
my @b=map("%r$_",(10..15));
|
|
my @a=reverse(@b);
|
|
@b[5]=$b_ptr;
|
|
my $bi = "%rbp";
|
|
my @comba=map("%r$_",("cx",8,9));
|
|
# a[0]*b[0]
|
|
# a[1]*b[0]
|
|
# a[0]*b[1]
|
|
# a[2]*b[0]
|
|
# a[1]*b[1]
|
|
# a[0]*b[2]
|
|
# a[3]*b[0]
|
|
# a[2]*b[1]
|
|
# a[1]*b[2]
|
|
# a[0]*b[3]
|
|
# a[4]*b[0]
|
|
# a[3]*b[1]
|
|
# a[2]*b[2]
|
|
# a[1]*b[3]
|
|
# a[0]*b[4]
|
|
# a[5]*b[0]
|
|
# a[4]*b[1]
|
|
# a[3]*b[2]
|
|
# a[2]*b[3]
|
|
# a[1]*b[4]
|
|
# a[0]*b[5]
|
|
# a[5]*b[1]
|
|
# a[4]*b[2]
|
|
# a[3]*b[3]
|
|
# a[2]*b[4]
|
|
# a[1]*b[5]
|
|
# a[5]*b[2]
|
|
# a[4]*b[3]
|
|
# a[3]*b[4]
|
|
# a[2]*b[5]
|
|
# a[5]*b[3]
|
|
# a[4]*b[4]
|
|
# a[3]*b[5]
|
|
# a[5]*b[4]
|
|
# a[4]*b[5]
|
|
# a[5]*b[5]
|
|
#
|
|
# 13% less instructions give +15% on Core2, +10% on Goldmont,
|
|
# -0% on Sandy Bridge, but -16% on Haswell:-(
|
|
# [for reference +5% on Skylake, +11% on Ryzen]
|
|
|
|
$code.=<<___;
|
|
.type __mulq_comba_384,\@abi-omnipotent
|
|
.align 32
|
|
__mulq_comba_384:
|
|
mov 8*0($b_ptr), %rax
|
|
mov 8*0($a_ptr), @a[0]
|
|
mov 8*1($a_ptr), @a[1]
|
|
mov 8*1($b_ptr), @b[1]
|
|
|
|
mov %rax, @b[0]
|
|
mulq @a[0] # a[0]*b[0]
|
|
mov %rax, 8*0($r_ptr)
|
|
mov @b[0], %rax
|
|
mov %rdx, @comba[0]
|
|
|
|
#################################
|
|
mov 8*2($a_ptr), @a[2]
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[1] # a[1]*b[0]
|
|
add %rax, @comba[0]
|
|
mov @b[1], %rax
|
|
adc \$0, %rdx
|
|
mov 8*2($b_ptr), @b[2]
|
|
mov %rdx, @comba[1]
|
|
|
|
mulq @a[0] # a[0]*b[1]
|
|
add %rax, @comba[0]
|
|
mov @b[0], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*1($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[2] # a[2]*b[0]
|
|
add %rax, @comba[0]
|
|
mov @b[1], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[1] # a[1]*b[1]
|
|
add %rax, @comba[0]
|
|
mov @b[2], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[0] # a[0]*b[2]
|
|
add %rax, @comba[0]
|
|
mov @b[0], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*2($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq 8*3($a_ptr) # a[3]*b[0]
|
|
add %rax, @comba[0]
|
|
mov @b[1], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[2] # a[2]*b[1]
|
|
add %rax, @comba[0]
|
|
mov @b[2], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[1] # a[1]*b[2]
|
|
add %rax, @comba[0]
|
|
mov 8*3($b_ptr), %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mov %rax, @b[3]
|
|
mulq @a[0] # a[0]*b[3]
|
|
add %rax, @comba[0]
|
|
mov @b[0], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*3($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq 8*4($a_ptr) # a[4]*b[0]
|
|
add %rax, @comba[0]
|
|
mov @b[1], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*3($a_ptr) # a[3]*b[1]
|
|
add %rax, @comba[0]
|
|
mov @b[2], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*2($a_ptr) # a[2]*b[2]
|
|
add %rax, @comba[0]
|
|
mov @b[3], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[1] # a[1]*b[3]
|
|
add %rax, @comba[0]
|
|
mov 8*4($b_ptr), %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mov %rax, @b[4]
|
|
mulq @a[0] # a[0]*b[4]
|
|
add %rax, @comba[0]
|
|
mov @b[0], %rax
|
|
adc %rdx, @comba[1]
|
|
mov 8*5($a_ptr), @a[5]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*4($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[5] # a[5]*b[0]
|
|
add %rax, @comba[0]
|
|
mov @b[1], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*4($a_ptr) # a[4]*b[1]
|
|
add %rax, @comba[0]
|
|
mov @b[2], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*3($a_ptr) # a[3]*b[2]
|
|
add %rax, @comba[0]
|
|
mov @b[3], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*2($a_ptr) # a[2]*b[3]
|
|
add %rax, @comba[0]
|
|
mov @b[4], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*1($a_ptr) # a[1]*b[4]
|
|
add %rax, @comba[0]
|
|
mov 8*5($b_ptr), %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mov %rax, @b[5]
|
|
mulq @a[0] # a[0]*b[5]
|
|
add %rax, @comba[0]
|
|
mov @b[1], %rax
|
|
adc %rdx, @comba[1]
|
|
mov 8*4($a_ptr), @a[4]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*5($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[5] # a[5]*b[1]
|
|
add %rax, @comba[0]
|
|
mov @b[2], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[4] # a[4]*b[2]
|
|
add %rax, @comba[0]
|
|
mov @b[3], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*3($a_ptr) # a[3]*b[3]
|
|
add %rax, @comba[0]
|
|
mov @b[4], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*2($a_ptr) # a[2]*b[4]
|
|
add %rax, @comba[0]
|
|
mov @b[5], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*1($a_ptr) # a[1]*b[5]
|
|
add %rax, @comba[0]
|
|
mov $b[2], %rax
|
|
adc %rdx, @comba[1]
|
|
mov 8*3($a_ptr), @a[3]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*6($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[5] # a[5]*b[2]
|
|
add %rax, @comba[0]
|
|
mov @b[3], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[4] # a[4]*b[3]
|
|
add %rax, @comba[0]
|
|
mov @b[4], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[3] # a[3]*b[4]
|
|
add %rax, @comba[0]
|
|
mov @b[5], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq 8*2($a_ptr) # a[2]*b[5]
|
|
add %rax, @comba[0]
|
|
mov @b[3], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*7($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[5] # a[5]*b[3]
|
|
add %rax, @comba[0]
|
|
mov @b[4], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[4] # a[4]*b[4]
|
|
add %rax, @comba[0]
|
|
mov @b[5], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[3] # a[3]*b[5]
|
|
add %rax, @comba[0]
|
|
mov @b[4], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*8($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
xor @comba[2], @comba[2]
|
|
mulq @a[5] # a[5]*b[4]
|
|
add %rax, @comba[0]
|
|
mov @b[5], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
|
|
mulq @a[4] # a[4]*b[5]
|
|
add %rax, @comba[0]
|
|
mov @b[5], %rax
|
|
adc %rdx, @comba[1]
|
|
adc \$0, @comba[2]
|
|
mov @comba[0], 8*9($r_ptr)
|
|
___
|
|
push(@comba,shift(@comba));
|
|
$code.=<<___;
|
|
mulq @a[5] # a[5]*b[4]
|
|
add %rax, @comba[0]
|
|
adc %rdx, @comba[1]
|
|
|
|
mov @comba[0], 8*10($r_ptr)
|
|
mov @comba[1], 8*11($r_ptr)
|
|
|
|
ret
|
|
.size __mulq_comba_384,.-__mulq_comba_384
|
|
___
|
|
}
|
|
{ ########################################################## 384-bit sqr
|
|
my @acc=(@acc,"%rcx","%rbx","%rbp",$a_ptr);
|
|
my $hi;
|
|
|
|
$code.=<<___;
|
|
.globl sqr_384
|
|
.hidden sqr_384
|
|
.type sqr_384,\@function,2,"unwind"
|
|
.align 32
|
|
sqr_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8, %rsp
|
|
.cfi_adjust_cfa_offset 8
|
|
.cfi_end_prologue
|
|
|
|
call __sqrq_384
|
|
|
|
mov 8(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 16(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 24(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 32(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 40(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 48(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 56(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -56
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_384,.-sqr_384
|
|
|
|
.type __sqrq_384,\@abi-omnipotent
|
|
.align 32
|
|
__sqrq_384:
|
|
mov 8*0($a_ptr), %rax
|
|
mov 8*1($a_ptr), @acc[7]
|
|
mov 8*2($a_ptr), @acc[8]
|
|
mov 8*3($a_ptr), @acc[9]
|
|
|
|
#########################################
|
|
mov %rax, @acc[6]
|
|
mulq @acc[7] # a[1]*a[0]
|
|
mov %rax, @acc[1]
|
|
mov @acc[6], %rax
|
|
mov 8*4($a_ptr), @acc[10]
|
|
mov %rdx, @acc[2]
|
|
|
|
mulq @acc[8] # a[2]*a[0]
|
|
add %rax, @acc[2]
|
|
mov @acc[6], %rax
|
|
adc \$0, %rdx
|
|
mov 8*5($a_ptr), @acc[11]
|
|
mov %rdx, @acc[3]
|
|
|
|
mulq @acc[9] # a[3]*a[0]
|
|
add %rax, @acc[3]
|
|
mov @acc[6], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[4]
|
|
|
|
mulq @acc[10] # a[4]*a[0]
|
|
add %rax, @acc[4]
|
|
mov @acc[6], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[5]
|
|
|
|
mulq @acc[11] # a[5]*a[0]
|
|
add %rax, @acc[5]
|
|
mov @acc[6], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
|
|
mulq %rax # a[0]*a[0]
|
|
xor @acc[0], @acc[0]
|
|
mov %rax, 8*0($r_ptr)
|
|
mov @acc[7], %rax
|
|
add @acc[1], @acc[1] # double acc[1]
|
|
adc \$0, @acc[0]
|
|
add %rdx, @acc[1] # accumulate a[0]*a[0]
|
|
adc \$0, @acc[0] # carries to a[1]*a[1]
|
|
mov @acc[1], 8*1($r_ptr)
|
|
___
|
|
$hi=@acc[1];
|
|
$code.=<<___;
|
|
#########################################
|
|
mulq @acc[8] # a[2]*a[1]
|
|
add %rax, @acc[3]
|
|
mov @acc[7], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq @acc[9] # a[3]*a[1]
|
|
add %rax, @acc[4]
|
|
mov @acc[7], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq @acc[10] # a[4]*a[1]
|
|
add %rax, @acc[5]
|
|
mov @acc[7], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[5]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq @acc[11] # a[5]*a[1]
|
|
add %rax, @acc[6]
|
|
mov @acc[7], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[6]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq %rax # a[1]*a[1]
|
|
xor @acc[1], @acc[1]
|
|
add %rax, @acc[0] # can't carry
|
|
mov @acc[8], %rax
|
|
add @acc[2], @acc[2] # double acc[2:3]
|
|
adc @acc[3], @acc[3]
|
|
adc \$0, @acc[1]
|
|
add @acc[0], @acc[2] # accumulate a[1]*a[1]
|
|
adc %rdx, @acc[3]
|
|
adc \$0, @acc[1] # carries to a[2]*a[2]
|
|
mov @acc[2], 8*2($r_ptr)
|
|
___
|
|
$hi=@acc[0];
|
|
$code.=<<___;
|
|
#########################################
|
|
mulq @acc[9] # a[3]*a[2]
|
|
add %rax, @acc[5]
|
|
mov @acc[8], %rax
|
|
adc \$0, %rdx
|
|
mov @acc[3], 8*3($r_ptr)
|
|
mov %rdx, $hi
|
|
|
|
mulq @acc[10] # a[4]*a[2]
|
|
add %rax, @acc[6]
|
|
mov @acc[8], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[6]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq @acc[11] # a[5]*a[2]
|
|
add %rax, @acc[7]
|
|
mov @acc[8], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[7]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[8]
|
|
|
|
mulq %rax # a[2]*a[2]
|
|
xor @acc[3], @acc[3]
|
|
add %rax, @acc[1] # can't carry
|
|
mov @acc[9], %rax
|
|
add @acc[4], @acc[4] # double acc[4:5]
|
|
adc @acc[5], @acc[5]
|
|
adc \$0, @acc[3]
|
|
add @acc[1], @acc[4] # accumulate a[2]*a[2]
|
|
adc %rdx, @acc[5]
|
|
adc \$0, @acc[3] # carries to a[3]*a[3]
|
|
mov @acc[4], 8*4($r_ptr)
|
|
|
|
#########################################
|
|
mulq @acc[10] # a[4]*a[3]
|
|
add %rax, @acc[7]
|
|
mov @acc[9], %rax
|
|
adc \$0, %rdx
|
|
mov @acc[5], 8*5($r_ptr)
|
|
mov %rdx, $hi
|
|
|
|
mulq @acc[11] # a[5]*a[3]
|
|
add %rax, @acc[8]
|
|
mov @acc[9], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[8]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[9]
|
|
|
|
mulq %rax # a[3]*a[3]
|
|
xor @acc[4], @acc[4]
|
|
add %rax, @acc[3] # can't carry
|
|
mov @acc[10], %rax
|
|
add @acc[6], @acc[6] # double acc[6:7]
|
|
adc @acc[7], @acc[7]
|
|
adc \$0, @acc[4]
|
|
add @acc[3], @acc[6] # accumulate a[3]*a[3]
|
|
adc %rdx, @acc[7]
|
|
mov @acc[6], 8*6($r_ptr)
|
|
adc \$0, @acc[4] # carries to a[4]*a[4]
|
|
mov @acc[7], 8*7($r_ptr)
|
|
|
|
#########################################
|
|
mulq @acc[11] # a[5]*a[4]
|
|
add %rax, @acc[9]
|
|
mov @acc[10], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[10]
|
|
|
|
mulq %rax # a[4]*a[4]
|
|
xor @acc[5], @acc[5]
|
|
add %rax, @acc[4] # can't carry
|
|
mov @acc[11], %rax
|
|
add @acc[8], @acc[8] # double acc[8:9]
|
|
adc @acc[9], @acc[9]
|
|
adc \$0, @acc[5]
|
|
add @acc[4], @acc[8] # accumulate a[4]*a[4]
|
|
adc %rdx, @acc[9]
|
|
mov @acc[8], 8*8($r_ptr)
|
|
adc \$0, @acc[5] # carries to a[5]*a[5]
|
|
mov @acc[9], 8*9($r_ptr)
|
|
|
|
#########################################
|
|
mulq %rax # a[5]*a[5]
|
|
add @acc[5], %rax # can't carry
|
|
add @acc[10], @acc[10] # double acc[10]
|
|
adc \$0, %rdx
|
|
add @acc[10], %rax # accumulate a[5]*a[5]
|
|
adc \$0, %rdx
|
|
mov %rax, 8*10($r_ptr)
|
|
mov %rdx, 8*11($r_ptr)
|
|
|
|
ret
|
|
.size __sqrq_384,.-__sqrq_384
|
|
|
|
.globl sqr_mont_384
|
|
.hidden sqr_mont_384
|
|
.type sqr_mont_384,\@function,4,"unwind"
|
|
.align 32
|
|
sqr_mont_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8*15, %rsp
|
|
.cfi_adjust_cfa_offset 8*15
|
|
.cfi_end_prologue
|
|
|
|
mov $n_ptr, 8*12(%rsp) # n0
|
|
mov $b_org, 8*13(%rsp) # n_ptr
|
|
mov $r_ptr, 8*14(%rsp)
|
|
|
|
mov %rsp, $r_ptr
|
|
call __sqrq_384
|
|
|
|
lea 0(%rsp), $a_ptr
|
|
mov 8*12(%rsp), %rcx # n0 for mul_by_1
|
|
mov 8*13(%rsp), $b_ptr # n_ptr for mul_by_1
|
|
mov 8*14(%rsp), $r_ptr
|
|
call __mulq_by_1_mont_384
|
|
call __redc_tail_mont_384
|
|
|
|
lea 8*15(%rsp), %r8 # size optimization
|
|
mov 8*15(%rsp), %r15
|
|
.cfi_restore %r15
|
|
mov 8*1(%r8), %r14
|
|
.cfi_restore %r14
|
|
mov 8*2(%r8), %r13
|
|
.cfi_restore %r13
|
|
mov 8*3(%r8), %r12
|
|
.cfi_restore %r12
|
|
mov 8*4(%r8), %rbx
|
|
.cfi_restore %rbx
|
|
mov 8*5(%r8), %rbp
|
|
.cfi_restore %rbp
|
|
lea 8*6(%r8), %rsp
|
|
.cfi_adjust_cfa_offset -8*21
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_mont_384,.-sqr_mont_384
|
|
___
|
|
}
|
|
{ ########################################################## 384-bit redc_mont
|
|
my ($n_ptr, $n0)=($b_ptr, $n_ptr); # arguments are "shifted"
|
|
|
|
$code.=<<___;
|
|
########################################################################
|
|
# void redc_mont_384(uint64_t ret[6], const uint64_t a[12],
|
|
# uint64_t m[6], uint64_t n0);
|
|
.globl redc_mont_384
|
|
.hidden redc_mont_384
|
|
.type redc_mont_384,\@function,4,"unwind"
|
|
.align 32
|
|
redc_mont_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8, %rsp
|
|
.cfi_adjust_cfa_offset 8
|
|
.cfi_end_prologue
|
|
|
|
mov $b_org, $n_ptr
|
|
call __mulq_by_1_mont_384
|
|
call __redc_tail_mont_384
|
|
|
|
mov 8(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 16(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 24(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 32(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 40(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 48(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 56(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -56
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size redc_mont_384,.-redc_mont_384
|
|
|
|
########################################################################
|
|
# void from_mont_384(uint64_t ret[6], const uint64_t a[6],
|
|
# uint64_t m[6], uint64_t n0);
|
|
.globl from_mont_384
|
|
.hidden from_mont_384
|
|
.type from_mont_384,\@function,4,"unwind"
|
|
.align 32
|
|
from_mont_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8, %rsp
|
|
.cfi_adjust_cfa_offset 8
|
|
.cfi_end_prologue
|
|
|
|
mov $b_org, $n_ptr
|
|
call __mulq_by_1_mont_384
|
|
|
|
#################################
|
|
# Branch-less conditional acc[0:6] - modulus
|
|
|
|
#mov @acc[6], %rax # __mulq_by_1_mont_384 does it
|
|
mov @acc[7], %rcx
|
|
mov @acc[0], %rdx
|
|
mov @acc[1], %rbp
|
|
|
|
sub 8*0($n_ptr), @acc[6]
|
|
sbb 8*1($n_ptr), @acc[7]
|
|
mov @acc[2], @acc[5]
|
|
sbb 8*2($n_ptr), @acc[0]
|
|
sbb 8*3($n_ptr), @acc[1]
|
|
sbb 8*4($n_ptr), @acc[2]
|
|
mov @acc[3], $a_ptr
|
|
sbb 8*5($n_ptr), @acc[3]
|
|
|
|
cmovc %rax, @acc[6]
|
|
cmovc %rcx, @acc[7]
|
|
cmovc %rdx, @acc[0]
|
|
mov @acc[6], 8*0($r_ptr)
|
|
cmovc %rbp, @acc[1]
|
|
mov @acc[7], 8*1($r_ptr)
|
|
cmovc @acc[5], @acc[2]
|
|
mov @acc[0], 8*2($r_ptr)
|
|
cmovc $a_ptr, @acc[3]
|
|
mov @acc[1], 8*3($r_ptr)
|
|
mov @acc[2], 8*4($r_ptr)
|
|
mov @acc[3], 8*5($r_ptr)
|
|
|
|
mov 8(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 16(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 24(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 32(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 40(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 48(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 56(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -56
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size from_mont_384,.-from_mont_384
|
|
___
|
|
{ my @acc=@acc; # will be rotated locally
|
|
|
|
$code.=<<___;
|
|
.type __mulq_by_1_mont_384,\@abi-omnipotent
|
|
.align 32
|
|
__mulq_by_1_mont_384:
|
|
mov 8*0($a_ptr), %rax
|
|
mov 8*1($a_ptr), @acc[1]
|
|
mov 8*2($a_ptr), @acc[2]
|
|
mov 8*3($a_ptr), @acc[3]
|
|
mov 8*4($a_ptr), @acc[4]
|
|
mov 8*5($a_ptr), @acc[5]
|
|
|
|
mov %rax, @acc[6]
|
|
imulq $n0, %rax
|
|
mov %rax, @acc[0]
|
|
___
|
|
for (my $i=0; $i<6; $i++) {
|
|
my $hi = @acc[6];
|
|
$code.=<<___;
|
|
################################# reduction $i
|
|
mulq 8*0($n_ptr)
|
|
add %rax, @acc[6] # guaranteed to be zero
|
|
mov @acc[0], %rax
|
|
adc %rdx, @acc[6]
|
|
|
|
mulq 8*1($n_ptr)
|
|
add %rax, @acc[1]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add @acc[6], @acc[1]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*2($n_ptr)
|
|
add %rax, @acc[2]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[2]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*3($n_ptr)
|
|
add %rax, @acc[3]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
___
|
|
$code.=<<___ if ($i<5);
|
|
mov @acc[1], @acc[7]
|
|
imulq $n0, @acc[1]
|
|
___
|
|
$code.=<<___;
|
|
add $hi, @acc[3]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*4($n_ptr)
|
|
add %rax, @acc[4]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*5($n_ptr)
|
|
add %rax, @acc[5]
|
|
mov @acc[1], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[5]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
___
|
|
push(@acc,shift(@acc));
|
|
}
|
|
$code.=<<___;
|
|
ret
|
|
.size __mulq_by_1_mont_384,.-__mulq_by_1_mont_384
|
|
|
|
.type __redc_tail_mont_384,\@abi-omnipotent
|
|
.align 32
|
|
__redc_tail_mont_384:
|
|
add 8*6($a_ptr), @acc[0] # accumulate upper half
|
|
mov @acc[0], %rax
|
|
adc 8*7($a_ptr), @acc[1]
|
|
adc 8*8($a_ptr), @acc[2]
|
|
adc 8*9($a_ptr), @acc[3]
|
|
mov @acc[1], %rcx
|
|
adc 8*10($a_ptr), @acc[4]
|
|
adc 8*11($a_ptr), @acc[5]
|
|
sbb @acc[6], @acc[6]
|
|
|
|
#################################
|
|
# Branch-less conditional acc[0:6] - modulus
|
|
|
|
mov @acc[2], %rdx
|
|
mov @acc[3], %rbp
|
|
|
|
sub 8*0($n_ptr), @acc[0]
|
|
sbb 8*1($n_ptr), @acc[1]
|
|
mov @acc[4], @acc[7]
|
|
sbb 8*2($n_ptr), @acc[2]
|
|
sbb 8*3($n_ptr), @acc[3]
|
|
sbb 8*4($n_ptr), @acc[4]
|
|
mov @acc[5], $a_ptr
|
|
sbb 8*5($n_ptr), @acc[5]
|
|
sbb \$0, @acc[6]
|
|
|
|
cmovc %rax, @acc[0]
|
|
cmovc %rcx, @acc[1]
|
|
cmovc %rdx, @acc[2]
|
|
mov @acc[0], 8*0($r_ptr)
|
|
cmovc %rbp, @acc[3]
|
|
mov @acc[1], 8*1($r_ptr)
|
|
cmovc @acc[7], @acc[4]
|
|
mov @acc[2], 8*2($r_ptr)
|
|
cmovc $a_ptr, @acc[5]
|
|
mov @acc[3], 8*3($r_ptr)
|
|
mov @acc[4], 8*4($r_ptr)
|
|
mov @acc[5], 8*5($r_ptr)
|
|
|
|
ret
|
|
.size __redc_tail_mont_384,.-__redc_tail_mont_384
|
|
|
|
.globl sgn0_pty_mont_384
|
|
.hidden sgn0_pty_mont_384
|
|
.type sgn0_pty_mont_384,\@function,3,"unwind"
|
|
.align 32
|
|
sgn0_pty_mont_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8, %rsp
|
|
.cfi_adjust_cfa_offset 8
|
|
.cfi_end_prologue
|
|
|
|
mov $a_ptr, $n_ptr
|
|
lea 0($r_ptr), $a_ptr
|
|
mov $b_org, $n0
|
|
call __mulq_by_1_mont_384
|
|
|
|
xor %rax, %rax
|
|
mov @acc[0], @acc[7]
|
|
add @acc[0], @acc[0]
|
|
adc @acc[1], @acc[1]
|
|
adc @acc[2], @acc[2]
|
|
adc @acc[3], @acc[3]
|
|
adc @acc[4], @acc[4]
|
|
adc @acc[5], @acc[5]
|
|
adc \$0, %rax
|
|
|
|
sub 8*0($n_ptr), @acc[0]
|
|
sbb 8*1($n_ptr), @acc[1]
|
|
sbb 8*2($n_ptr), @acc[2]
|
|
sbb 8*3($n_ptr), @acc[3]
|
|
sbb 8*4($n_ptr), @acc[4]
|
|
sbb 8*5($n_ptr), @acc[5]
|
|
sbb \$0, %rax
|
|
|
|
not %rax # 2*x > p, which means "negative"
|
|
and \$1, @acc[7]
|
|
and \$2, %rax
|
|
or @acc[7], %rax # pack sign and parity
|
|
|
|
mov 8(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 16(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 24(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 32(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 40(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 48(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 56(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -56
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sgn0_pty_mont_384,.-sgn0_pty_mont_384
|
|
|
|
.globl sgn0_pty_mont_384x
|
|
.hidden sgn0_pty_mont_384x
|
|
.type sgn0_pty_mont_384x,\@function,3,"unwind"
|
|
.align 32
|
|
sgn0_pty_mont_384x:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8, %rsp
|
|
.cfi_adjust_cfa_offset 8
|
|
.cfi_end_prologue
|
|
|
|
mov $a_ptr, $n_ptr
|
|
lea 48($r_ptr), $a_ptr # sgn0(a->im)
|
|
mov $b_org, $n0
|
|
call __mulq_by_1_mont_384
|
|
|
|
mov @acc[0], @acc[6]
|
|
or @acc[1], @acc[0]
|
|
or @acc[2], @acc[0]
|
|
or @acc[3], @acc[0]
|
|
or @acc[4], @acc[0]
|
|
or @acc[5], @acc[0]
|
|
|
|
lea 0($r_ptr), $a_ptr # sgn0(a->re)
|
|
xor $r_ptr, $r_ptr
|
|
mov @acc[6], @acc[7]
|
|
add @acc[6], @acc[6]
|
|
adc @acc[1], @acc[1]
|
|
adc @acc[2], @acc[2]
|
|
adc @acc[3], @acc[3]
|
|
adc @acc[4], @acc[4]
|
|
adc @acc[5], @acc[5]
|
|
adc \$0, $r_ptr
|
|
|
|
sub 8*0($n_ptr), @acc[6]
|
|
sbb 8*1($n_ptr), @acc[1]
|
|
sbb 8*2($n_ptr), @acc[2]
|
|
sbb 8*3($n_ptr), @acc[3]
|
|
sbb 8*4($n_ptr), @acc[4]
|
|
sbb 8*5($n_ptr), @acc[5]
|
|
sbb \$0, $r_ptr
|
|
|
|
mov @acc[0], 0(%rsp) # a->im is zero or not
|
|
not $r_ptr # 2*x > p, which means "negative"
|
|
and \$1, @acc[7]
|
|
and \$2, $r_ptr
|
|
or @acc[7], $r_ptr # pack sign and parity
|
|
|
|
call __mulq_by_1_mont_384
|
|
|
|
mov @acc[0], @acc[6]
|
|
or @acc[1], @acc[0]
|
|
or @acc[2], @acc[0]
|
|
or @acc[3], @acc[0]
|
|
or @acc[4], @acc[0]
|
|
or @acc[5], @acc[0]
|
|
|
|
xor %rax, %rax
|
|
mov @acc[6], @acc[7]
|
|
add @acc[6], @acc[6]
|
|
adc @acc[1], @acc[1]
|
|
adc @acc[2], @acc[2]
|
|
adc @acc[3], @acc[3]
|
|
adc @acc[4], @acc[4]
|
|
adc @acc[5], @acc[5]
|
|
adc \$0, %rax
|
|
|
|
sub 8*0($n_ptr), @acc[6]
|
|
sbb 8*1($n_ptr), @acc[1]
|
|
sbb 8*2($n_ptr), @acc[2]
|
|
sbb 8*3($n_ptr), @acc[3]
|
|
sbb 8*4($n_ptr), @acc[4]
|
|
sbb 8*5($n_ptr), @acc[5]
|
|
sbb \$0, %rax
|
|
|
|
mov 0(%rsp), @acc[6]
|
|
|
|
not %rax # 2*x > p, which means "negative"
|
|
|
|
test @acc[0], @acc[0]
|
|
cmovz $r_ptr, @acc[7] # a->re==0? prty(a->im) : prty(a->re)
|
|
|
|
test @acc[6], @acc[6]
|
|
cmovnz $r_ptr, %rax # a->im!=0? sgn0(a->im) : sgn0(a->re)
|
|
|
|
and \$1, @acc[7]
|
|
and \$2, %rax
|
|
or @acc[7], %rax # pack sign and parity
|
|
|
|
mov 8(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 16(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 24(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 32(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 40(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 48(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 56(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -56
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sgn0_pty_mont_384x,.-sgn0_pty_mont_384x
|
|
___
|
|
} }
|
|
|
|
{ ########################################################## mulq_mont
|
|
my ($bi, $hi) = ("%rdi", "%rbp");
|
|
|
|
$code.=<<___;
|
|
.globl mul_mont_384
|
|
.hidden mul_mont_384
|
|
.type mul_mont_384,\@function,5,"unwind"
|
|
.align 32
|
|
mul_mont_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8*3, %rsp
|
|
.cfi_adjust_cfa_offset 8*3
|
|
.cfi_end_prologue
|
|
|
|
mov 8*0($b_org), %rax
|
|
mov 8*0($a_ptr), @acc[6]
|
|
mov 8*1($a_ptr), @acc[7]
|
|
mov 8*2($a_ptr), @acc[4]
|
|
mov 8*3($a_ptr), @acc[5]
|
|
mov $b_org, $b_ptr # evacuate from %rdx
|
|
mov $n0, 8*0(%rsp)
|
|
mov $r_ptr, 8*1(%rsp) # to __mulq_mont_384
|
|
|
|
call __mulq_mont_384
|
|
|
|
mov 24(%rsp),%r15
|
|
.cfi_restore %r15
|
|
mov 32(%rsp),%r14
|
|
.cfi_restore %r14
|
|
mov 40(%rsp),%r13
|
|
.cfi_restore %r13
|
|
mov 48(%rsp),%r12
|
|
.cfi_restore %r12
|
|
mov 56(%rsp),%rbx
|
|
.cfi_restore %rbx
|
|
mov 64(%rsp),%rbp
|
|
.cfi_restore %rbp
|
|
lea 72(%rsp),%rsp
|
|
.cfi_adjust_cfa_offset -72
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size mul_mont_384,.-mul_mont_384
|
|
___
|
|
{ my @acc=@acc; # will be rotated locally
|
|
|
|
$code.=<<___;
|
|
.type __mulq_mont_384,\@abi-omnipotent
|
|
.align 32
|
|
__mulq_mont_384:
|
|
mov %rax, $bi
|
|
mulq @acc[6] # a[0]*b[0]
|
|
mov %rax, @acc[0]
|
|
mov $bi, %rax
|
|
mov %rdx, @acc[1]
|
|
|
|
mulq @acc[7] # a[1]*b[0]
|
|
add %rax, @acc[1]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[2]
|
|
|
|
mulq @acc[4] # a[2]*b[0]
|
|
add %rax, @acc[2]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[3]
|
|
|
|
mov @acc[0], $hi
|
|
imulq 8(%rsp), @acc[0]
|
|
|
|
mulq @acc[5] # a[3]*b[0]
|
|
add %rax, @acc[3]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[4]
|
|
|
|
mulq 8*4($a_ptr)
|
|
add %rax, @acc[4]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[5]
|
|
|
|
mulq 8*5($a_ptr)
|
|
add %rax, @acc[5]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
xor @acc[7], @acc[7]
|
|
mov %rdx, @acc[6]
|
|
___
|
|
for (my $i=0; $i<6;) {
|
|
my $b_next = $i<5 ? 8*($i+1)."($b_ptr)" : @acc[1];
|
|
$code.=<<___;
|
|
################################# reduction $i
|
|
mulq 8*0($n_ptr)
|
|
add %rax, $hi # guaranteed to be zero
|
|
mov @acc[0], %rax
|
|
adc %rdx, $hi
|
|
|
|
mulq 8*1($n_ptr)
|
|
add %rax, @acc[1]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[1]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*2($n_ptr)
|
|
add %rax, @acc[2]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[2]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*3($n_ptr)
|
|
add $hi, @acc[3]
|
|
adc \$0, %rdx
|
|
add %rax, @acc[3]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*4($n_ptr)
|
|
add %rax, @acc[4]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, $hi
|
|
|
|
mulq 8*5($n_ptr)
|
|
add %rax, @acc[5]
|
|
mov $b_next, %rax
|
|
adc \$0, %rdx
|
|
add $hi, @acc[5]
|
|
adc %rdx, @acc[6]
|
|
adc \$0, @acc[7]
|
|
___
|
|
push(@acc,shift(@acc));
|
|
$code.=<<___ if ($i++<5);
|
|
################################# Multiply by b[$i]
|
|
mov %rax, $bi
|
|
mulq 8*0($a_ptr)
|
|
add %rax, @acc[0]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*1($a_ptr)
|
|
add %rax, @acc[1]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[1]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*2($a_ptr)
|
|
add %rax, @acc[2]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[2]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mov @acc[0], $hi
|
|
imulq 8(%rsp), @acc[0]
|
|
|
|
mulq 8*3($a_ptr)
|
|
add %rax, @acc[3]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[3]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*4($a_ptr)
|
|
add %rax, @acc[4]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*5($a_ptr)
|
|
add @acc[7], @acc[5]
|
|
adc \$0, %rdx
|
|
xor @acc[7], @acc[7]
|
|
add %rax, @acc[5]
|
|
mov @acc[0], %rax
|
|
adc %rdx, @acc[6]
|
|
adc \$0, @acc[7]
|
|
___
|
|
}
|
|
$code.=<<___;
|
|
#################################
|
|
# Branch-less conditional acc[0:6] - modulus
|
|
|
|
#mov @acc[0], %rax
|
|
mov 8*2(%rsp), $r_ptr # restore $r_ptr
|
|
sub 8*0($n_ptr), @acc[0]
|
|
mov @acc[1], %rdx
|
|
sbb 8*1($n_ptr), @acc[1]
|
|
mov @acc[2], $b_ptr
|
|
sbb 8*2($n_ptr), @acc[2]
|
|
mov @acc[3], $a_ptr
|
|
sbb 8*3($n_ptr), @acc[3]
|
|
mov @acc[4], $hi
|
|
sbb 8*4($n_ptr), @acc[4]
|
|
mov @acc[5], @acc[7]
|
|
sbb 8*5($n_ptr), @acc[5]
|
|
sbb \$0, @acc[6]
|
|
|
|
cmovc %rax, @acc[0]
|
|
cmovc %rdx, @acc[1]
|
|
cmovc $b_ptr, @acc[2]
|
|
mov @acc[0], 8*0($r_ptr)
|
|
cmovc $a_ptr, @acc[3]
|
|
mov @acc[1], 8*1($r_ptr)
|
|
cmovc $hi, @acc[4]
|
|
mov @acc[2], 8*2($r_ptr)
|
|
cmovc @acc[7], @acc[5]
|
|
mov @acc[3], 8*3($r_ptr)
|
|
mov @acc[4], 8*4($r_ptr)
|
|
mov @acc[5], 8*5($r_ptr)
|
|
|
|
ret
|
|
.size __mulq_mont_384,.-__mulq_mont_384
|
|
___
|
|
} }
|
|
$code.=<<___;
|
|
.globl sqr_n_mul_mont_384
|
|
.hidden sqr_n_mul_mont_384
|
|
.type sqr_n_mul_mont_384,\@function,6,"unwind"
|
|
.align 32
|
|
sqr_n_mul_mont_384:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8*17, %rsp
|
|
.cfi_adjust_cfa_offset 8*17
|
|
.cfi_end_prologue
|
|
|
|
mov $n0, 8*0(%rsp)
|
|
mov $r_ptr, 8*1(%rsp) # to __mulq_mont_384
|
|
mov $n_ptr, 8*2(%rsp)
|
|
lea 8*4(%rsp), $r_ptr
|
|
mov %r9, 8*3(%rsp) # 6th, multiplicand argument
|
|
movq (%r9), %xmm2 # prefetch b[0]
|
|
|
|
.Loop_sqr_384:
|
|
movd %edx, %xmm1 # loop counter
|
|
|
|
call __sqrq_384
|
|
|
|
lea 0($r_ptr), $a_ptr
|
|
mov 8*0(%rsp), %rcx # n0 for mul_by_1
|
|
mov 8*2(%rsp), $b_ptr # n_ptr for mul_by_1
|
|
call __mulq_by_1_mont_384
|
|
call __redc_tail_mont_384
|
|
|
|
movd %xmm1, %edx
|
|
lea 0($r_ptr), $a_ptr
|
|
dec %edx
|
|
jnz .Loop_sqr_384
|
|
|
|
movq %xmm2, %rax # b[0]
|
|
mov $b_ptr, $n_ptr
|
|
mov 8*3(%rsp), $b_ptr # 6th, multiplicand argument
|
|
|
|
#mov 8*0($b_ptr), %rax
|
|
#mov 8*0($a_ptr), @acc[6]
|
|
#mov 8*1($a_ptr), @acc[7]
|
|
#mov 8*2($a_ptr), @acc[4]
|
|
#mov 8*3($a_ptr), @acc[5]
|
|
mov @acc[0], @acc[4]
|
|
mov @acc[1], @acc[5]
|
|
|
|
call __mulq_mont_384
|
|
|
|
lea 8*17(%rsp), %r8 # size optimization
|
|
mov 8*17(%rsp), %r15
|
|
.cfi_restore %r15
|
|
mov 8*1(%r8), %r14
|
|
.cfi_restore %r14
|
|
mov 8*2(%r8), %r13
|
|
.cfi_restore %r13
|
|
mov 8*3(%r8), %r12
|
|
.cfi_restore %r12
|
|
mov 8*4(%r8), %rbx
|
|
.cfi_restore %rbx
|
|
mov 8*5(%r8), %rbp
|
|
.cfi_restore %rbp
|
|
lea 8*6(%r8), %rsp
|
|
.cfi_adjust_cfa_offset -8*23
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_n_mul_mont_384,.-sqr_n_mul_mont_384
|
|
|
|
.globl sqr_n_mul_mont_383
|
|
.hidden sqr_n_mul_mont_383
|
|
.type sqr_n_mul_mont_383,\@function,6,"unwind"
|
|
.align 32
|
|
sqr_n_mul_mont_383:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$8*17, %rsp
|
|
.cfi_adjust_cfa_offset 8*17
|
|
.cfi_end_prologue
|
|
|
|
mov $n0, 8*0(%rsp)
|
|
mov $r_ptr, 8*1(%rsp) # to __mulq_mont_384
|
|
mov $n_ptr, 8*2(%rsp)
|
|
lea 8*4(%rsp), $r_ptr
|
|
mov %r9, 8*3(%rsp) # 6th, multiplicand argument
|
|
movq (%r9), %xmm2 # prefetch b[0]
|
|
|
|
.Loop_sqr_383:
|
|
movd %edx, %xmm1 # loop counter
|
|
|
|
call __sqrq_384
|
|
|
|
lea 0($r_ptr), $a_ptr
|
|
mov 8*0(%rsp), %rcx # n0 for mul_by_1
|
|
mov 8*2(%rsp), $b_ptr # n_ptr for mul_by_1
|
|
call __mulq_by_1_mont_384
|
|
|
|
movd %xmm1, %edx # loop counter
|
|
add 8*6($a_ptr), @acc[6] # just accumulate upper half
|
|
adc 8*7($a_ptr), @acc[7]
|
|
adc 8*8($a_ptr), @acc[0]
|
|
adc 8*9($a_ptr), @acc[1]
|
|
adc 8*10($a_ptr), @acc[2]
|
|
adc 8*11($a_ptr), @acc[3]
|
|
lea 0($r_ptr), $a_ptr
|
|
|
|
mov @acc[6], 8*0($r_ptr) # omitting full reduction gives ~5%
|
|
mov @acc[7], 8*1($r_ptr) # in addition-chains
|
|
mov @acc[0], 8*2($r_ptr)
|
|
mov @acc[1], 8*3($r_ptr)
|
|
mov @acc[2], 8*4($r_ptr)
|
|
mov @acc[3], 8*5($r_ptr)
|
|
|
|
dec %edx
|
|
jnz .Loop_sqr_383
|
|
|
|
movq %xmm2, %rax # b[0]
|
|
mov $b_ptr, $n_ptr
|
|
mov 8*3(%rsp), $b_ptr # 6th, multiplicand argument
|
|
|
|
#movq 8*0($b_ptr), %rax
|
|
#mov 8*0($a_ptr), @acc[6]
|
|
#mov 8*1($a_ptr), @acc[7]
|
|
#mov 8*2($a_ptr), @acc[4]
|
|
#mov 8*3($a_ptr), @acc[5]
|
|
mov @acc[0], @acc[4]
|
|
mov @acc[1], @acc[5]
|
|
|
|
call __mulq_mont_384 # formally one can omit full reduction
|
|
# even after multiplication...
|
|
lea 8*17(%rsp), %r8 # size optimization
|
|
mov 8*17(%rsp), %r15
|
|
.cfi_restore %r15
|
|
mov 8*1(%r8), %r14
|
|
.cfi_restore %r14
|
|
mov 8*2(%r8), %r13
|
|
.cfi_restore %r13
|
|
mov 8*3(%r8), %r12
|
|
.cfi_restore %r12
|
|
mov 8*4(%r8), %rbx
|
|
.cfi_restore %rbx
|
|
mov 8*5(%r8), %rbp
|
|
.cfi_restore %rbp
|
|
lea 8*6(%r8), %rsp
|
|
.cfi_adjust_cfa_offset -8*23
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_n_mul_mont_383,.-sqr_n_mul_mont_383
|
|
___
|
|
{ my @acc=@acc; # will be rotated locally
|
|
my $bi = "%rbp";
|
|
|
|
$code.=<<___;
|
|
.type __mulq_mont_383_nonred,\@abi-omnipotent
|
|
.align 32
|
|
__mulq_mont_383_nonred:
|
|
mov %rax, $bi
|
|
mulq @acc[6] # a[0]*b[0]
|
|
mov %rax, @acc[0]
|
|
mov $bi, %rax
|
|
mov %rdx, @acc[1]
|
|
|
|
mulq @acc[7] # a[1]*b[0]
|
|
add %rax, @acc[1]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[2]
|
|
|
|
mulq @acc[4] # a[2]*b[0]
|
|
add %rax, @acc[2]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[3]
|
|
|
|
mov @acc[0], @acc[7]
|
|
imulq 8(%rsp), @acc[0]
|
|
|
|
mulq @acc[5] # a[3]*b[0]
|
|
add %rax, @acc[3]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[4]
|
|
|
|
mulq 8*4($a_ptr)
|
|
add %rax, @acc[4]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[5]
|
|
|
|
mulq 8*5($a_ptr)
|
|
add %rax, @acc[5]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
___
|
|
for (my $i=0; $i<6;) {
|
|
my $b_next = $i<5 ? 8*($i+1)."($b_ptr)" : @acc[1];
|
|
$code.=<<___;
|
|
################################# reduction $i
|
|
mulq 8*0($n_ptr)
|
|
add %rax, @acc[7] # guaranteed to be zero
|
|
mov @acc[0], %rax
|
|
adc %rdx, @acc[7]
|
|
|
|
mulq 8*1($n_ptr)
|
|
add %rax, @acc[1]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[1]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*2($n_ptr)
|
|
add %rax, @acc[2]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[2]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*3($n_ptr)
|
|
add @acc[7], @acc[3]
|
|
adc \$0, %rdx
|
|
add %rax, @acc[3]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*4($n_ptr)
|
|
add %rax, @acc[4]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[7]
|
|
|
|
mulq 8*5($n_ptr)
|
|
add %rax, @acc[5]
|
|
mov $b_next, %rax
|
|
adc \$0, %rdx
|
|
add @acc[7], @acc[5]
|
|
adc %rdx, @acc[6]
|
|
___
|
|
push(@acc,shift(@acc));
|
|
$code.=<<___ if ($i++<5);
|
|
################################# Multiply by b[$i]
|
|
mov %rax, $bi
|
|
mulq 8*0($a_ptr)
|
|
add %rax, @acc[0]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
|
|
mulq 8*1($a_ptr)
|
|
add %rax, @acc[1]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[6], @acc[1]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
|
|
mulq 8*2($a_ptr)
|
|
add %rax, @acc[2]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[6], @acc[2]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
|
|
mov @acc[0], @acc[7]
|
|
imulq 8(%rsp), @acc[0]
|
|
|
|
mulq 8*3($a_ptr)
|
|
add %rax, @acc[3]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[6], @acc[3]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
|
|
mulq 8*4($a_ptr)
|
|
add %rax, @acc[4]
|
|
mov $bi, %rax
|
|
adc \$0, %rdx
|
|
add @acc[6], @acc[4]
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
|
|
mulq 8*5($a_ptr)
|
|
add @acc[6], @acc[5]
|
|
adc \$0, %rdx
|
|
add %rax, @acc[5]
|
|
mov @acc[0], %rax
|
|
adc \$0, %rdx
|
|
mov %rdx, @acc[6]
|
|
___
|
|
}
|
|
$code.=<<___;
|
|
ret
|
|
.size __mulq_mont_383_nonred,.-__mulq_mont_383_nonred
|
|
___
|
|
}
|
|
{ my $frame = 4*8 + # place for argument off-load +
|
|
2*384/8 + # place for 2 384-bit temporary vectors
|
|
8; # align
|
|
my @acc = (@acc,"%rax","%rdx","%rbx","%rbp");
|
|
|
|
# omitting 3 reductions gives 8-11% better performance in add-chains
|
|
$code.=<<___;
|
|
.globl sqr_mont_382x
|
|
.hidden sqr_mont_382x
|
|
.type sqr_mont_382x,\@function,4,"unwind"
|
|
.align 32
|
|
sqr_mont_382x:
|
|
.cfi_startproc
|
|
push %rbp
|
|
.cfi_push %rbp
|
|
push %rbx
|
|
.cfi_push %rbx
|
|
push %r12
|
|
.cfi_push %r12
|
|
push %r13
|
|
.cfi_push %r13
|
|
push %r14
|
|
.cfi_push %r14
|
|
push %r15
|
|
.cfi_push %r15
|
|
sub \$$frame, %rsp
|
|
.cfi_adjust_cfa_offset $frame
|
|
.cfi_end_prologue
|
|
|
|
mov $n_ptr, 8*0(%rsp) # n0
|
|
mov $b_org, $n_ptr # n_ptr
|
|
mov $a_ptr, 8*2(%rsp)
|
|
mov $r_ptr, 8*3(%rsp)
|
|
|
|
#################################
|
|
mov 8*0($a_ptr), @acc[0] # a->re
|
|
mov 8*1($a_ptr), @acc[1]
|
|
mov 8*2($a_ptr), @acc[2]
|
|
mov 8*3($a_ptr), @acc[3]
|
|
mov 8*4($a_ptr), @acc[4]
|
|
mov 8*5($a_ptr), @acc[5]
|
|
|
|
mov @acc[0], @acc[6]
|
|
add 8*6($a_ptr), @acc[0] # a->re + a->im
|
|
mov @acc[1], @acc[7]
|
|
adc 8*7($a_ptr), @acc[1]
|
|
mov @acc[2], @acc[8]
|
|
adc 8*8($a_ptr), @acc[2]
|
|
mov @acc[3], @acc[9]
|
|
adc 8*9($a_ptr), @acc[3]
|
|
mov @acc[4], @acc[10]
|
|
adc 8*10($a_ptr), @acc[4]
|
|
mov @acc[5], @acc[11]
|
|
adc 8*11($a_ptr), @acc[5]
|
|
|
|
sub 8*6($a_ptr), @acc[6] # a->re - a->im
|
|
sbb 8*7($a_ptr), @acc[7]
|
|
sbb 8*8($a_ptr), @acc[8]
|
|
sbb 8*9($a_ptr), @acc[9]
|
|
sbb 8*10($a_ptr), @acc[10]
|
|
sbb 8*11($a_ptr), @acc[11]
|
|
sbb $r_ptr, $r_ptr # borrow flag as mask
|
|
|
|
mov @acc[0], 32+8*0(%rsp) # t0
|
|
mov @acc[1], 32+8*1(%rsp)
|
|
mov @acc[2], 32+8*2(%rsp)
|
|
mov @acc[3], 32+8*3(%rsp)
|
|
mov @acc[4], 32+8*4(%rsp)
|
|
mov @acc[5], 32+8*5(%rsp)
|
|
|
|
mov @acc[6], 32+8*6(%rsp) # t1
|
|
mov @acc[7], 32+8*7(%rsp)
|
|
mov @acc[8], 32+8*8(%rsp)
|
|
mov @acc[9], 32+8*9(%rsp)
|
|
mov @acc[10], 32+8*10(%rsp)
|
|
mov @acc[11], 32+8*11(%rsp)
|
|
mov $r_ptr, 32+8*12(%rsp)
|
|
|
|
################################# mul_mont_384(ret->im, a->re, a->im, mod, n0);
|
|
#mov 8*2(%rsp), $a_ptr # a->re
|
|
lea 48($a_ptr), $b_ptr # a->im
|
|
|
|
mov 48($a_ptr), %rax # a->im
|
|
mov 8*0($a_ptr), @acc[6] # a->re
|
|
mov 8*1($a_ptr), @acc[7]
|
|
mov 8*2($a_ptr), @acc[4]
|
|
mov 8*3($a_ptr), @acc[5]
|
|
|
|
mov 8*3(%rsp), $r_ptr
|
|
call __mulq_mont_383_nonred
|
|
___
|
|
{
|
|
my @acc = map("%r$_",14,15,8..11, # output from __mulq_mont_384
|
|
12,13,"ax","bx","bp","si");
|
|
$code.=<<___;
|
|
add @acc[0], @acc[0] # add with itself
|
|
adc @acc[1], @acc[1]
|
|
adc @acc[2], @acc[2]
|
|
adc @acc[3], @acc[3]
|
|
adc @acc[4], @acc[4]
|
|
adc @acc[5], @acc[5]
|
|
|
|
mov @acc[0], 8*6($r_ptr) # ret->im
|
|
mov @acc[1], 8*7($r_ptr)
|
|
mov @acc[2], 8*8($r_ptr)
|
|
mov @acc[3], 8*9($r_ptr)
|
|
mov @acc[4], 8*10($r_ptr)
|
|
mov @acc[5], 8*11($r_ptr)
|
|
___
|
|
}
|
|
$code.=<<___;
|
|
################################# mul_mont_384(ret->re, t0, t1, mod, n0);
|
|
lea 32(%rsp), $a_ptr # t0
|
|
lea 32+8*6(%rsp), $b_ptr # t1
|
|
|
|
mov 32+8*6(%rsp), %rax # t1[0]
|
|
mov 32+8*0(%rsp), @acc[6] # t0[0..3]
|
|
mov 32+8*1(%rsp), @acc[7]
|
|
mov 32+8*2(%rsp), @acc[4]
|
|
mov 32+8*3(%rsp), @acc[5]
|
|
|
|
call __mulq_mont_383_nonred
|
|
___
|
|
{
|
|
my @acc = map("%r$_",14,15,8..11, # output from __mulq_mont_384
|
|
12,13,"ax","bx","bp","si");
|
|
$code.=<<___;
|
|
mov 32+8*12(%rsp), @acc[11] # account for sign from a->re - a->im
|
|
mov 32+8*0(%rsp), @acc[6]
|
|
mov 32+8*1(%rsp), @acc[7]
|
|
and @acc[11], @acc[6]
|
|
mov 32+8*2(%rsp), @acc[8]
|
|
and @acc[11], @acc[7]
|
|
mov 32+8*3(%rsp), @acc[9]
|
|
and @acc[11], @acc[8]
|
|
mov 32+8*4(%rsp), @acc[10]
|
|
and @acc[11], @acc[9]
|
|
and @acc[11], @acc[10]
|
|
and 32+8*5(%rsp), @acc[11]
|
|
|
|
sub @acc[6], @acc[0]
|
|
mov 8*0($n_ptr), @acc[6]
|
|
sbb @acc[7], @acc[1]
|
|
mov 8*1($n_ptr), @acc[7]
|
|
sbb @acc[8], @acc[2]
|
|
mov 8*2($n_ptr), @acc[8]
|
|
sbb @acc[9], @acc[3]
|
|
mov 8*3($n_ptr), @acc[9]
|
|
sbb @acc[10], @acc[4]
|
|
mov 8*4($n_ptr), @acc[10]
|
|
sbb @acc[11], @acc[5]
|
|
sbb @acc[11], @acc[11]
|
|
|
|
and @acc[11], @acc[6]
|
|
and @acc[11], @acc[7]
|
|
and @acc[11], @acc[8]
|
|
and @acc[11], @acc[9]
|
|
and @acc[11], @acc[10]
|
|
and 8*5($n_ptr), @acc[11]
|
|
|
|
add @acc[6], @acc[0]
|
|
adc @acc[7], @acc[1]
|
|
adc @acc[8], @acc[2]
|
|
adc @acc[9], @acc[3]
|
|
adc @acc[10], @acc[4]
|
|
adc @acc[11], @acc[5]
|
|
|
|
mov @acc[0], 8*0($r_ptr) # ret->re
|
|
mov @acc[1], 8*1($r_ptr)
|
|
mov @acc[2], 8*2($r_ptr)
|
|
mov @acc[3], 8*3($r_ptr)
|
|
mov @acc[4], 8*4($r_ptr)
|
|
mov @acc[5], 8*5($r_ptr)
|
|
___
|
|
}
|
|
$code.=<<___;
|
|
lea $frame(%rsp), %r8 # size optimization
|
|
mov 8*0(%r8),%r15
|
|
.cfi_restore %r15
|
|
mov 8*1(%r8),%r14
|
|
.cfi_restore %r14
|
|
mov 8*2(%r8),%r13
|
|
.cfi_restore %r13
|
|
mov 8*3(%r8),%r12
|
|
.cfi_restore %r12
|
|
mov 8*4(%r8),%rbx
|
|
.cfi_restore %rbx
|
|
mov 8*5(%r8),%rbp
|
|
.cfi_restore %rbp
|
|
lea 8*6(%r8),%rsp
|
|
.cfi_adjust_cfa_offset -$frame-8*6
|
|
.cfi_epilogue
|
|
ret
|
|
.cfi_endproc
|
|
.size sqr_mont_382x,.-sqr_mont_382x
|
|
___
|
|
}
|
|
|
|
print $code;
|
|
close STDOUT;
|