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function codegen_axb
%CODEGEN_AXB create all C=A*B functions for all semirings
%
% This function creates all files of the form GB_AxB__*.[ch], including all
% built-in semirings (GB_AxB__*.c) and two include files,
% Generated1/GB_AxB__include1.h and Generated2/GB_AxB__include2.h.
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
% The ANY operator is not used as a multiplicative operator in the generated
% functions. It can be used as the multiplicative op in a semiring, but is
% renamed to SECOND before calling the generated function.
fprintf ('\nsemirings:\n') ;
for k = 1:2
filename = sprintf ('Generated%d/GB_AxB__include%d.h', k, k) ;
f = fopen (filename, 'w') ;
fprintf (f, '//------------------------------------------------------------------------------\n') ;
fprintf (f, '// GB_AxB__include%d.h: definitions for Generated%d/GB_AxB__*.c\n', k, k) ;
fprintf (f, '//------------------------------------------------------------------------------\n') ;
fprintf (f, '\n') ;
fprintf (f, '// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.\n') ;
fprintf (f, '// SPDX-License-Identifier: Apache-2.0\n\n') ;
fprintf (f, '// This file has been automatically generated from Generator/GB_AxB.h') ;
fprintf (f, '\n\n') ;
fclose (f) ;
end
% codegen_axb_template (multop, bmult, imult, fmult, dmult, fcmult, dcmult)
codegen_axb_template ('pair', ...
'1', ... % bool
'1', ... % int, uint
'1', ... % float
'1', ... % double
'GxB_CMPLXF(1,0)', ... % GxB_FC32_t
'GxB_CMPLX(1,0)') ; ... % GxB_FC64_t
codegen_axb_template ('times', ...
[ ], ... % bool
'(xarg * yarg)', ... % int, uint
'(xarg * yarg)', ... % float
'(xarg * yarg)', ... % double
'GB_FC32_mul (xarg, yarg)', ... % GxB_FC32_t
'GB_FC64_mul (xarg, yarg)') ; ... % GxB_FC64_t
codegen_axb_template ('first', ...
'xarg', ... % bool
'xarg', ... % int, uint
'xarg', ... % float
'xarg', ... % double
'xarg', ... % GxB_FC32_t
'xarg') ; ... % GxB_FC64_t
codegen_axb_template ('second', ...
'yarg', ... % bool
'yarg', ... % int, uint
'yarg', ... % float
'yarg', ... % double
'yarg', ... % GxB_FC32_t
'yarg') ; ... % GxB_FC64_t
codegen_axb_template ('min', ...
[ ], ... % bool
'GB_IMIN (xarg, yarg)', ... % int, uint
'fminf (xarg, yarg)', ... % float
'fmin (xarg, yarg)', ... % double
[ ], ... % GxB_FC32_t
[ ]) ; ... % GxB_FC64_t
codegen_axb_template ('max', ...
[ ], ... % bool
'GB_IMAX (xarg, yarg)', ... % int, uint
'fmaxf (xarg, yarg)', ... % float
'fmax (xarg, yarg)', ... % double
[ ], ... % GxB_FC32_t
[ ]) ; ... % GxB_FC64_t
codegen_axb_template ('plus', ...
[ ], ... % bool
'(xarg + yarg)', ... % int, uint
'(xarg + yarg)', ... % float
'(xarg + yarg)', ... % double
'GB_FC32_add (xarg, yarg)', ... % GxB_FC32_t
'GB_FC64_add (xarg, yarg)') ; ... % GxB_FC64_t
codegen_axb_template ('minus', ...
[ ], ... % bool
'(xarg - yarg)', ... % int, uint
'(xarg - yarg)', ... % float
'(xarg - yarg)', ... % double
'GB_FC32_minus (xarg, yarg)', ... % GxB_FC32_t
'GB_FC64_minus (xarg, yarg)') ; ... % GxB_FC64_t
codegen_axb_template ('rminus', ...
[ ], ... % bool
'(yarg - xarg)', ... % int, uint
'(yarg - xarg)', ... % float
'(yarg - xarg)', ... % double
'GB_FC32_minus (yarg, xarg)', ... % GxB_FC32_t
'GB_FC64_minus (yarg, xarg)') ; ... % GxB_FC64_t
codegen_axb_template ('div', ...
[ ], ... % bool
'GB_idiv (xarg, yarg)', ... % int, uint
'(xarg / yarg)', ... % float
'(xarg / yarg)', ... % double
'GB_FC32_div (xarg, yarg)', ... % GxB_FC32_t
'GB_FC64_div (xarg, yarg)') ; ... % GxB_FC64_t
codegen_axb_template ('rdiv', ...
[ ], ... % bool
'GB_idiv (yarg, xarg)', ... % int, uint
'(yarg / xarg)', ... % float
'(yarg / xarg)', ... % double
'GB_FC32_div (yarg, xarg)', ... % GxB_FC32_t
'GB_FC64_div (yarg, xarg)') ; ... % GxB_FC64_t
codegen_axb_compare_template ('eq', ...
'(xarg == yarg)', ... % bool
'(xarg == yarg)') ; ... % int, uint, float, double
codegen_axb_compare_template ('ne', ...
[ ], ... % bool
'(xarg != yarg)') ; ... % int, uint, float, double
codegen_axb_compare_template ('gt', ...
'(xarg > yarg)', ... % bool
'(xarg > yarg)') ; ... % int, uint, float, double
codegen_axb_compare_template ('lt', ...
'(xarg < yarg)', ... % bool,
'(xarg < yarg)') ; ... % int, uint, float, double
codegen_axb_compare_template ('ge', ...
'(xarg >= yarg)', ... % bool
'(xarg >= yarg)') ; ... % int, uint, float, double
codegen_axb_compare_template ('le', ...
'(xarg <= yarg)', ... % bool
'(xarg <= yarg)') ; ... % int, uint, float, double
codegen_axb_template ('lor', ...
'(xarg || yarg)', ... % bool
'((xarg != 0) || (yarg != 0))', ... % int, uint
'((xarg != 0) || (yarg != 0))', ... % float
'((xarg != 0) || (yarg != 0))', ... % double
[ ], ... % GxB_FC32_t
[ ], ... % GxB_FC64_t
true) ; % no min,max,times,any monoids for LOR multiplier op
codegen_axb_template ('land', ...
'(xarg && yarg)', ... % bool
'((xarg != 0) && (yarg != 0))', ... % int, uint
'((xarg != 0) && (yarg != 0))', ... % float
'((xarg != 0) && (yarg != 0))', ... % double
[ ], ... % GxB_FC32_t
[ ], ... % GxB_FC64_t
true) ; % no min,max,times,any monoids for LAND multiplier op
codegen_axb_template ('lxor', ...
'(xarg != yarg)', ... % bool
'((xarg != 0) != (yarg != 0))', ... % int, uint
'((xarg != 0) != (yarg != 0))', ... % float
'((xarg != 0) != (yarg != 0))', ... % double
[ ], ... % GxB_FC32_t
[ ], ... % GxB_FC64_t
true) ; % no min,max,times,any monoids for LXOR multipier op
% bitwise semirings
ops = { 'bor', 'band', 'bxor', 'bxnor' } ;
funcs = { '(xarg | yarg)', '(xarg & yarg)', '(xarg ^ yarg)', '~(xarg ^ yarg)' };
adds = { 'w |= t' , 'w &= t' , 'w ^= t' , 'w = ~(w ^ t)' };
ids = { 0 , 1 , 0 , 1 };
terms = { 1 , 0 , [ ] , [ ] };
atomx = { 1 , 1 , 1 , 0 };
nbits = [8 16 32 64] ;
bits = { '0xFF', '0xFFFF', '0xFFFFFFFF', '0xFFFFFFFFFFFFFFFFL' } ;
for i = 1:4
addop = ops {i} ;
fprintf ('\n%-7s', addop) ;
addfunc = strrep (strrep (funcs {i}, 'xarg', 'w'), 'yarg', 't') ;
add = adds {i} ;
identity = ids {i} ;
term = terms {i} ;
at = atomx {i} ;
for j = 1:4
multop = ops {j} ;
mult = funcs {j} ;
for k = 1:4
fprintf ('.') ;
type = sprintf ('uint%d_t', nbits (k)) ;
if (isempty (term))
tm = [ ] ;
elseif (term)
tm = bits {k} ;
else
tm = '0' ;
end
if (identity)
id = bits {k} ;
else
id = '0' ;
end
codegen_axb_method (addop, multop, add, addfunc, mult, type, ...
type, id, tm, at, 0) ;
end
end
end
% positional semirings
mults = { 'firsti', 'firsti1', 'firstj', 'firstj1', 'secondj', 'secondj1' } ;
funcs = { 'i', '(i+1)', 'k', '(k+1)', 'j', '(j+1)' } ;
% min, max, and times are normally terminal monoids, but there is no reason to terminate
% them early when used with positional operators. Only the ANY monoid is still terminal.
addops = { 'min', 'max', 'any', 'plus', 'times' } ;
adds = { 'w = GB_IMIN (w, t)', 'w = GB_IMAX (w, t)', 'w = t', 'w += t', 'w *= t' } ;
addfuncs = { 'GB_IMIN (w, t)', 'GB_IMAX (w, t)', 't', 'w + t' , 'w * t' } ;
ids = { 'INT64_MAX', 'INT64_MIN', '0', '0', '1' } ;
terms = { [ ], [ ], '0', [ ], [ ] } ;
atomx = { 0 , 0 , 0, 1, 1, } ;
for j = 1:6
multop = mults {j} ;
mult = funcs {j} ;
fprintf ('\n%-9s', multop) ;
for i = 1:5
addop = addops {i} ;
addfunc = strrep (strrep (addfuncs {i}, 'xarg', 'w'), 'yarg', 't') ;
add = adds {i} ;
identity = ids {i} ;
term = terms {i} ;
at = atomx {i} ;
id = ids {i} ;
tm = terms {i} ;
at = atomx {i} ;
fprintf ('.') ;
codegen_axb_method (addop, multop, add, addfunc, mult, 'int64_t', ...
'int64_t', id, tm, at, 0) ;
id = strrep (id, '64', '32') ;
fprintf ('.') ;
codegen_axb_method (addop, multop, add, addfunc, mult, 'int32_t', ...
'int32_t', id, tm, at, 0) ;
end
end
fprintf ('\n') ;
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