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/* -*-Mode: C++;-*-
Copyright (C) 1997,1998 Shigeru Chiba, University of Tsukuba.
Permission to use, copy, distribute and modify this software and
its documentation for any purpose is hereby granted without fee,
provided that the above copyright notice appear in all copies and that
both that copyright notice and this permission notice appear in
supporting documentation.
Shigeru Chiba makes no representations about the suitability of this
software for any purpose. It is provided "as is" without express or
implied warranty.
July 1997: rewritten by Toru Takimoto for version 2.5.
*/
/*
Copyright (c) 1995, 1996 Xerox Corporation.
All Rights Reserved.
Use and copying of this software and preparation of derivative works
based upon this software are permitted. Any copy of this software or
of any derivative work must include the above copyright notice of
Xerox Corporation, this paragraph and the one after it. Any
distribution of this software or derivative works must comply with all
applicable United States export control laws.
This software is made available AS IS, and XEROX CORPORATION DISCLAIMS
ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE, AND NOTWITHSTANDING ANY OTHER PROVISION CONTAINED HEREIN, ANY
LIABILITY FOR DAMAGES RESULTING FROM THE SOFTWARE OR ITS USE IS
EXPRESSLY DISCLAIMED, WHETHER ARISING IN CONTRACT, TORT (INCLUDING
NEGLIGENCE) OR STRICT LIABILITY, EVEN IF XEROX CORPORATION IS ADVISED
OF THE POSSIBILITY OF SUCH DAMAGES.
*/
#include "mop.h"
const char* SIZE = "N";
const MAX = 32;
static struct { Ptree* expr; int k; } termTable[MAX];
static int numOfTerms;
static struct { Ptree *lexpr, *rexpr; int k; bool scalar; } mulTermTable[MAX];
static int numOfMulTerms;
static Ptree* DoOptimize0(Ptree*);
static Ptree* DoOptimize1(Ptree*);
static Ptree* MakeInlineExpr(Ptree*);
static bool ParseTerms(Environment*, Ptree*, int);
static bool IsScalarProduct(Environment*, Ptree*);
static int NumOfVectorProducts();
static int IndexOfVectorProducts();
class MatrixClass : public Class {
public:
Ptree* TranslateInitializer(Environment*, Ptree*, Ptree*);
Ptree* TranslateAssign(Environment*, Ptree*, Ptree*, Ptree*);
Ptree* TranslateUserStatement(Environment*, Ptree*, Ptree*,
Ptree*, Ptree*);
static bool Initialize();
};
bool MatrixClass::Initialize()
{
RegisterNewWhileStatement("forall");
return TRUE;
}
Ptree* MatrixClass::TranslateInitializer(Environment* env, Ptree* name,
Ptree* expr)
{
Ptree* sep = Ptree::First(expr);
Ptree* val = Ptree::Second(expr);
if(sep->Eq('=') && Ptree::Match(val, "[{ %* }]")) {
Ptree* tmp = Ptree::GenSym();
InsertBeforeStatement(env, Ptree::qMake("double `tmp`[] = `val`;\n"));
return Ptree::Make("= %p", tmp);
}
else
return Class::TranslateInitializer(env, name, expr);
}
Ptree* MatrixClass::TranslateUserStatement(Environment* env, Ptree* object,
Ptree* op,
Ptree* keyword, Ptree* rest)
{
Ptree *tmp, *body, *index;
if(!Ptree::Match(rest, "[([%?]) %?]", &tmp, &body)){
ErrorMessage(env, "invalid forall statement", nil, keyword);
return nil;
}
index = Ptree::GenSym();
return Ptree::qMake(
"for(int `index` = 0; `index` < `SIZE` * `SIZE`; ++`index`){\n"
" double& `tmp` = `object``op` element[`index`];\n"
" `body` }\n");
}
Ptree* MatrixClass::TranslateAssign(Environment* env, Ptree* object,
Ptree* op, Ptree* expr)
{
if(!object->IsLeaf() || !op->Eq('='))
goto giveup;
if(expr->IsLeaf()) // e.g. a = b;
goto giveup;
numOfTerms = 0;
numOfMulTerms = 0;
if(!ParseTerms(env, expr, 1))
goto giveup;
switch(NumOfVectorProducts()){
case 0 :
return DoOptimize0(object);
case 1 :
return DoOptimize1(object);
default :
goto giveup; // give up optimization if the number of
// vector products are more than one because
// the gain by inlining is relatively zero.
}
giveup:
return Class::TranslateAssign(env, object, op, expr);
}
// Optimization for expressions that include no vector product.
static Ptree* DoOptimize0(Ptree* object)
{
Ptree* index = Ptree::GenSym();
return Ptree::qMake(
"for(int `index` = 0; `index` < `SIZE` * `SIZE`; ++`index`)\n"
" `object`.element[`index`] = `MakeInlineExpr(index)`;");
}
// Optimization for expressions that include only one vector product.
static Ptree* DoOptimize1(Ptree* object)
{
char op;
Ptree* index1 = Ptree::GenSym();
Ptree* index2 = Ptree::GenSym();
Ptree* index3 = Ptree::GenSym();
Ptree* tmp = Ptree::GenSym();
Ptree* index4 = Ptree::GenSym();
int v = IndexOfVectorProducts();
if(mulTermTable[v].k > 0)
op = '+';
else
op = '-';
Ptree* inlined_expr = Ptree::qMake(
"`mulTermTable[v].lexpr`.element[`index1` * `SIZE` + `index3`]"
"* `mulTermTable[v].rexpr`.element[`index3` * `SIZE` + `index2`]");
return Ptree::qMake(
"for(int `index1` = 0; `index1` < `SIZE`; ++`index1`)\n"
" for(int `index2` = 0; `index2` < `SIZE`; ++`index2`){\n"
" double `tmp` = 0.0;\n"
" for(int `index3` = 0; `index3` < `SIZE`; ++`index3`)\n"
" `tmp` += `inlined_expr`;\n"
" int `index4` = `index1` * `SIZE` + `index2`;\n"
" `object`.element[`index4`]"
" = `MakeInlineExpr(index4)``op``tmp`;}\n");
}
static Ptree* MakeInlineExpr(Ptree* index_var)
{
int i;
Ptree* expr;
Ptree* inline_expr = nil;
for(i = numOfMulTerms - 1; i >= 0; --i)
if(mulTermTable[i].scalar){
char op;
if(mulTermTable[i].k > 0)
op = '+';
else
op = '-';
expr = Ptree::Make("%c %p * %p.element[%p]",
op, mulTermTable[i].lexpr,
mulTermTable[i].rexpr, index_var);
inline_expr = Ptree::Cons(expr, inline_expr);
}
for(i = numOfTerms - 1; i > 0; --i){
char op;
if(termTable[i].k > 0)
op = '+';
else
op = '-';
expr = Ptree::Make("%c %p.element[%p]",
op, termTable[i].expr, index_var);
inline_expr = Ptree::Cons(expr, inline_expr);
}
if(numOfTerms > 0){
if(termTable[0].k > 0)
expr = Ptree::Make("%p.element[%p]",
termTable[0].expr, index_var);
else
expr = Ptree::Make("- %p.element[%p]",
termTable[0].expr, index_var);
inline_expr = Ptree::Cons(expr, inline_expr);
}
return inline_expr;
}
static bool ParseTerms(Environment* env, Ptree* expr, int k)
{
Ptree* lexpr;
Ptree* rexpr;
if(expr->IsLeaf()){
termTable[numOfTerms].expr = expr;
termTable[numOfTerms].k = k;
++numOfTerms;
return TRUE;
}
else if(Ptree::Match(expr, "[%? + %?]", &lexpr, &rexpr))
return ParseTerms(env, lexpr, k) && ParseTerms(env, rexpr, k);
else if(Ptree::Match(expr, "[%? - %?]", &lexpr, &rexpr))
return ParseTerms(env, lexpr, k) && ParseTerms(env, rexpr, -k);
else if(Ptree::Match(expr, "[( %? )]", &lexpr))
return ParseTerms(env, lexpr, k);
else if(Ptree::Match(expr, "[- %?]", &rexpr))
return ParseTerms(env, rexpr, -k);
else if(Ptree::Match(expr, "[%? * %?]", &lexpr, &rexpr))
if(lexpr->IsLeaf() && rexpr->IsLeaf()){
mulTermTable[numOfMulTerms].lexpr = lexpr;
mulTermTable[numOfMulTerms].rexpr = rexpr;
mulTermTable[numOfMulTerms].k = k;
mulTermTable[numOfMulTerms].scalar = IsScalarProduct(env, lexpr);
++numOfMulTerms;
return TRUE;
}
else
return FALSE;
else
return FALSE;
}
// Is the expression P a scalar value?
static bool IsScalarProduct(Environment* env, Ptree* p)
{
TypeInfo t;
if(env->Lookup(p, t))
if(t.IsBuiltInType())
return TRUE;
return FALSE;
}
// How many vector products are included in the right-side expression?
static int NumOfVectorProducts()
{
int n = 0;
for(int i = 0; i < numOfMulTerms; ++i)
if(!mulTermTable[i].scalar)
++n;
return n;
}
static int IndexOfVectorProducts()
{
int n = 0;
for(int i = 0; i < numOfMulTerms; ++i)
if(!mulTermTable[i].scalar)
return i;
return 0;
}
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