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|
// ast.cpp
// this file is part of Context Free
// ---------------------
// Copyright (C) 2012-2014 John Horigan - john@glyphic.com
//
// This program is free software; you can redistribute it and/or
// modify it under the terms of the GNU General Public License
// as published by the Free Software Foundation; either version 2
// of the License, or (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
//
// John Horigan can be contacted at john@glyphic.com or at
// John Horigan, 1209 Villa St., Mountain View, CA 94041-1123, USA
//
//
#define _USE_MATH_DEFINES 1
#include "ast.h"
#include "astexpression.h"
#include "astreplacement.h"
#include "builder.h"
#include <cmath>
#include <cassert>
#include "rendererAST.h"
#include "attributes.h"
#include <cstdlib>
#include <cstring>
namespace AST {
const std::map<expType, std::string> ASTparameter::typeNames =
{
{NoType, "no type"},
{NumericType, "numeric type"},
{ModType, "adjustment type"},
{RuleType, "rule type"},
{FlagType, "flag type"}
};
const std::map<Locality_t, std::string> ASTparameter::localityNames =
{
{UnknownLocal, "unknown locality"},
{ImpureNonlocal, "impure non-local"},
{PureNonlocal, "pure non-local"},
{PureLocal, "pure local"}
};
void
ASTparameter::init(int nameIndex, ASTdefine* def)
{
mType = def->mType;
mLocality = def->mExpression ? def->mExpression->mLocality : PureLocal;
mTuplesize = def->mTuplesize;
if (mType == AST::NumericType) {
isNatural = def->mExpression && def->mExpression->isNatural;
if (mTuplesize == 0) mTuplesize = 1; // loop index
if (mTuplesize < 1 || mTuplesize > MaxVectorSize)
CfdgError::Error(mLocation, "Illegal vector size (<1 or >99)");
}
mName = nameIndex;
if (def->mDefineType == ASTdefine::ConstDefine)
mDefinition = def;
}
expType
decodeType(const std::string& typeName, int& mTuplesize,
bool& isNatural, const yy::location& mLocation)
{
expType type = NoType;
mTuplesize = 1;
isNatural = false;
if (typeName == "number") {
type = AST::NumericType;
} else if (typeName == "natural") {
type = AST::NumericType;
isNatural = true;
} else if (typeName == "adjustment") {
mTuplesize = ModificationSize;
type = AST::ModType;
} else if (typeName == "shape") {
type = AST::RuleType;
} else if (typeName.find("vector") == 0) {
// Would have used a regex but gcc does not have support yet
if (typeName.length() < 7 || !std::strchr("123456789", typeName[6]))
CfdgError::Error(mLocation, "Illegal vector type specification");
else {
// Must make sure next char is not +/-, whitespace or 0 before
// we can use strtol()
char* tail = nullptr;
errno = 0;
long sz = std::strtol(typeName.c_str() + 6, &tail, 10);
if ((tail && *tail != '\0') || errno == ERANGE) {
CfdgError::Error(mLocation, "Illegal vector type specification");
} else if (sz <= 1 || sz > MaxVectorSize) {
CfdgError::Error(mLocation, "Illegal vector size (<=1 or >99)");
} else {
type = AST::NumericType;
mTuplesize = static_cast<int>(sz);
}
}
} else {
type = AST::NoType;
CfdgError::Error(mLocation, "Unrecognized type name");
}
return type;
}
void
ASTparameter::init(const std::string& typeName, int nameIndex)
{
mLocality = PureNonlocal;
mType = decodeType(typeName, mTuplesize, isNatural, mLocation);
mName = nameIndex;
mDefinition = nullptr;
}
ASTparameter::ASTparameter(const std::string& typeName, int nameIndex,
const yy::location& where)
: mLocality(PureNonlocal), mLocation(where)
{ init(typeName, nameIndex); }
ASTparameter::ASTparameter(int nameIndex, ASTdefine* def, const yy::location& where)
: mLocation(where)
{ init(nameIndex, def); }
ASTparameter::ASTparameter(int nameIndex, const yy::location& where)
: mType(NumericType), isLoopIndex(true), mName(nameIndex), mLocation(where)
{ } // ctor for loop variables
ASTparameter::ASTparameter(const ASTparameter& from)
: mType(from.mType), isParameter(from.isParameter), isLoopIndex(from.isLoopIndex),
isNatural(from.isNatural), mLocality(from.mLocality), mName(from.mName),
mLocation(from.mLocation), mDefinition(nullptr), mStackIndex(from.mStackIndex),
mTuplesize(from.mTuplesize)
{}
ASTparameter&
ASTparameter::operator=(const ASTparameter& from)
{
if (this == &from) return *this;
mType = from.mType;
isParameter = from.isParameter;
isLoopIndex = from.isLoopIndex;
isNatural = from.isNatural;
mLocality = from.mLocality;
mName = from.mName;
mLocation = from.mLocation;
mStackIndex = from.mStackIndex;
mTuplesize = from.mTuplesize;
mDefinition = from.mDefinition;
return *this;
}
void
ASTparameter::checkParam(const yy::location&, const yy::location& nameLoc)
{
if (mName == -1)
CfdgError::Error(nameLoc, "Reserved keyword used for parameter name");
}
bool
ASTparameter::operator!=(const ASTparameter& p) const
{
if (mType != p.mType) return true;
if (mType == AST::NumericType &&
mTuplesize != p.mTuplesize) return true;
return false;
}
bool
ASTparameter::operator!=(const ASTexpression& e) const
{
if (mType != e.mType) return true;
if (mType == AST::NumericType &&
mTuplesize != e.evaluate()) return true;
return false;
}
int
ASTparameter::CheckType(const ASTparameters* types, const ASTexpression* args,
const yy::location& where, bool checkNumber, Builder* b)
{
// Walks down the right edge of an expression tree checking that the types
// of the children match the specified argument types
if ((types == nullptr || types->empty()) && (args == nullptr)) return 0;
if (types == nullptr || types->empty()) {
CfdgError::Error(args->where, "Arguments are not expected.", b);
return -1;
}
if (args == nullptr) {
CfdgError::Error(where, "Arguments are expected.", b);
return -1;
}
bool justCount = args->mType == AST::NoType;
size_t size = 0;
ASTparameters::const_iterator param_it = types->begin(),
param_end = types->end();
for (auto&& arg: *args) {
if (param_it == param_end) {
CfdgError::Error(args->where, "Too many arguments", b);
return -1;
}
if (!justCount) {
if (param_it->mType != arg.mType) {
CfdgError::Error(arg.where, "Incorrect argument type.", b);
CfdgError::Error(param_it->mLocation, "This is the expected type.", b);
return -1;
}
if (param_it->isNatural && !arg.isNatural && !b->impure()) {
CfdgError::Error(arg.where, "this expression does not satisfy the natural number requirement", b);
return -1;
}
if (param_it->mType == AST::NumericType &&
param_it->mTuplesize != arg.evaluate())
{
if (param_it->mTuplesize == 1)
CfdgError::Error(arg.where, "This argument should be scalar", b);
else
CfdgError::Error(arg.where, "This argument should be a vector", b);
CfdgError::Error(param_it->mLocation, "This is the expected type.", b);
return -1;
}
if (arg.mLocality != PureLocal && arg.mLocality != PureNonlocal &&
param_it->mType == AST::NumericType && !param_it->isNatural &&
!b->impure() && checkNumber)
{
CfdgError::Error(arg.where, "This expression does not satisfy the number parameter requirement", b);
return -1;
}
}
size += param_it->mTuplesize;
++param_it;
}
if (param_it != param_end) {
CfdgError::Error(args->where, "Not enough arguments.", b);
CfdgError::Error(param_it->mLocation, "Expecting this argument.", b);
return -1;
}
return static_cast<int>(size);
}
ASTexpression*
ASTparameter::constCopy(const yy::location& where, const std::string& entropy) const
{
switch (mType) {
case AST::NumericType: {
std::vector<double> data(mTuplesize);
bool natural = isNatural;
int valCount = mDefinition->mExpression->evaluate(data.data(), mTuplesize);
if (valCount != mTuplesize || valCount == 0)
CfdgError::Error(where, "Unexpected compile error."); // this also shouldn't happen
if (valCount < 1 || data.empty())
return new ASTreal(0.0, where); // shouldn't happen, but we don't want to crash if it does
// Create a new cons-list based on the evaluated variable's expression
ASTexpression* list = nullptr;
for (auto value: data) {
ASTreal* r = new ASTreal(value, where);
if (!list) r->text = entropy;
list = list ? list->append(r) : r;
}
list->isNatural = natural;
list->mLocality = mLocality;
return list;
}
case AST::ModType: {
ASTmodification* ret = nullptr;
if (const ASTmodification* mod = dynamic_cast<const ASTmodification*>(mDefinition->mExpression.get()))
ret = new ASTmodification(*mod, where);
else
ret = new ASTmodification(mDefinition->mChildChange, where);
ret->mLocality = mLocality;
return ret;
}
case AST::RuleType: {
// This must be bound to an ASTruleSpecifier, otherwise it would not be constant
if (const ASTruleSpecifier* r = dynamic_cast<const ASTruleSpecifier*> (mDefinition->mExpression.get())) {
ASTruleSpecifier* ret = new ASTruleSpecifier(r->shapeType, entropy, nullptr, where, nullptr);
ret->grab(r);
ret->mLocality = mLocality;
return ret;
} else {
CfdgError::Error(where, "Internal error computing bound rule specifier");
}
break;
}
default:
break;
}
return nullptr;
}
Locality_t
CombineLocality(Locality_t first, Locality_t second)
{
return static_cast<Locality_t>(first & second);
}
double
CFatof(const char* s)
{
double ret = atof(s);
return strchr(s, '%') ? ret / 100.0 : ret;
}
void
addUnique(SymmList& syms, agg::trans_affine& tr)
{
if (std::find(syms.begin(), syms.end(), tr) == syms.end())
syms.push_back(tr);
}
void
processDihedral(SymmList& syms, double order, double x, double y,
bool dihedral, double angle, const yy::location& where)
{
if (order < 1.0)
CfdgError::Error(where, "Rotational symmetry order must be one or larger");
agg::trans_affine reg;
agg::trans_affine_reflection mirror(angle);
reg.translate(-x, -y);
int num = static_cast<int>(order);
order = 2.0 * M_PI / order;
for (int i = 0; i < num; ++i) {
agg::trans_affine tr(reg);
if (i) tr.rotate(i * order);
agg::trans_affine tr2(tr);
tr2 *= mirror;
tr.translate(x, y);
tr2.translate(x, y);
addUnique(syms, tr);
if (dihedral) addUnique(syms, tr2);
}
}
// Analyze the symmetry spec accumulated in the data vector and add the
// appropriate affine transforms to the SymmList. Avoid adding the identity
// transform if it is already present in the SymmList.
void
processSymmSpec(SymmList& syms, agg::trans_affine& tile, bool tiled,
std::vector<double>& data, const yy::location& where)
{
if (data.empty()) return;
AST::FlagTypes t = static_cast<AST::FlagTypes>(static_cast<int>(data[0]));
bool frieze = (tile.sx != 0.0 || tile.sy != 0.0) && (tile.sx * tile.sy == 0.0);
bool rhombic = tiled && ((fabs(tile.shy) <= 0.0000001 && fabs(tile.shx/tile.sx - 0.5) < 0.0000001) ||
(fabs(tile.shx) <= 0.0000001 && fabs(tile.shy/tile.sy - 0.5) < 0.0000001));
bool rectangular = tiled && tile.shx == 0.0 && tile.shy == 0.0;
bool square = rectangular && tile.sx == tile.sy;
bool hexagonal = false;
bool square45 = false;
double size45 = tile.sx;
if (rhombic) {
double x1 = 1.0, y1 = 0.0;
tile.transform(&x1, &y1);
double dist10 = sqrt(x1 * x1 + y1 * y1);
double x2 = 0.0, y2 = 1.0;
tile.transform(&x2, &y2);
double dist01 = sqrt(x2 * x2 + y2 * y2);
hexagonal = fabs(dist10/dist01 - 1.0) < 0.0000001;
square45 = fabs(dist01/dist10 - M_SQRT2) < 0.0000001 ||
fabs(dist10/dist01 - M_SQRT2) < 0.0000001;
size45 = fmin(dist01, dist10);
}
static const agg::trans_affine_reflection ref45(M_PI_4);
static const agg::trans_affine_reflection ref135(-M_PI_4);
if (t >= AST::CF_P11G && t <= AST::CF_P2MM && !frieze)
CfdgError::Error(where, "Frieze symmetry only works in frieze designs");
if (t >= AST::CF_PM && t <= AST::CF_P6M && !tiled)
CfdgError::Error(where, "Wallpaper symmetry only works in tiled designs");
if (t == AST::CF_P2 && !frieze && !tiled)
CfdgError::Error(where, "p2 symmetry only works in frieze or tiled designs");
switch (t) {
case AST::CF_CYCLIC: {
double order, x = 0.0, y = 0.0;
switch (data.size()) {
case 4:
x = data[2];
y = data[3];
FALLTHROUGH;
case 2:
order = data[1];
break;
default:
CfdgError::Error(where, "Cyclic symmetry requires an order argument and an optional center of rotation");
order = 1.0; // suppress warning, never executed
break; // never gets here
}
processDihedral(syms, order, x, y, false, 0.0, where);
break;
}
case AST::CF_DIHEDRAL: {
double order, angle = 0.0, x = 0.0, y = 0.0;
switch (data.size()) {
case 5:
x = data[3];
y = data[4];
FALLTHROUGH;
case 3:
order = data[1];
angle = data[2] * M_PI / 180.0;
break;
case 4:
x = data[2];
y = data[3];
FALLTHROUGH;
case 2:
order = data[1];
break;
default:
CfdgError::Error(where, "Dihedral symmetry requires an order argument, an optional mirror angle, and an optional center of rotation");
order = 1.0; // suppress warning, never executed
break; // never gets here
}
processDihedral(syms, order, x, y, true, angle, where);
break;
}
case AST::CF_P11G: {
double mirrorx = 0.0, mirrory = 0.0;
if (data.size() == 2) {
if (tile.sx != 0.0)
mirrory = data[1];
else
mirrorx = data[1];
} else if (data.size() > 2) {
CfdgError::Error(where, "p11g symmetry takes no arguments or an optional glide axis position argument");
}
agg::trans_affine tr;
addUnique(syms, tr);
tr.translate(-mirrorx, -mirrory);
if (tile.sx != 0.0)
tr.flip_y();
else
tr.flip_x();
tr.translate(tile.sx * 0.5 + mirrorx, tile.sy * 0.5 + mirrory);
addUnique(syms, tr);
break;
}
case AST::CF_P11M: {
double mirrorx = 0.0, mirrory = 0.0;
if (data.size() == 2) {
if (tile.sx != 0.0)
mirrory = data[1];
else
mirrorx = data[1];
} else if (data.size() > 2) {
CfdgError::Error(where, "p11m symmetry takes no arguments or an optional mirror axis position argument");
}
agg::trans_affine tr;
addUnique(syms, tr);
tr.translate(-mirrorx, -mirrory);
if (tile.sx != 0.0)
tr.flip_y();
else
tr.flip_x();
tr.translate(mirrorx, mirrory);
addUnique(syms, tr);
break;
}
case AST::CF_P1M1: {
double mirrorx = 0.0, mirrory = 0.0;
if (data.size() == 2) {
if (tile.sx != 0.0)
mirrorx = data[1];
else
mirrory = data[1];
} else if (data.size() > 2) {
CfdgError::Error(where, "p1m1 symmetry takes no arguments or an optional mirror axis position argument");
}
agg::trans_affine tr;
addUnique(syms, tr);
tr.translate(-mirrorx, -mirrory);
if (tile.sx != 0.0)
tr.flip_x();
else
tr.flip_y();
tr.translate(mirrorx, mirrory);
addUnique(syms, tr);
break;
}
case AST::CF_P2: {
double mirrorx = 0.0, mirrory = 0.0;
if (data.size() == 3) {
mirrorx = data[1];
mirrory = data[2];
} else if (data.size() != 1) {
CfdgError::Error(where, "p2 symmetry takes no arguments or a center of rotation");
}
processDihedral(syms, 2.0, mirrorx, mirrory, false, 0.0, where);
break;
}
case AST::CF_P2MG: {
double mirrorx = 0.0, mirrory = 0.0;
if (data.size() == 3) {
mirrorx = data[1];
mirrory = data[2];
} else if (data.size() != 1) {
CfdgError::Error(where, "p2mg symmetry takes no arguments or a center of rotation");
}
agg::trans_affine tr1;
agg::trans_affine_translation tr2(-mirrorx, -mirrory);
agg::trans_affine_translation tr3(-mirrorx, -mirrory);
agg::trans_affine_translation tr4(-mirrorx, -mirrory);
tr2.flip_x();
tr3.flip_x();
tr3.flip_y();
tr4.flip_y();
tr2.translate(tile.sx * 0.5 + mirrorx, tile.sy * 0.5 + mirrory);
tr3.translate(mirrorx, mirrory);
tr4.translate(tile.sx * 0.5 + mirrorx, tile.sy * 0.5 + mirrory);
addUnique(syms, tr1);
addUnique(syms, tr2);
addUnique(syms, tr3);
addUnique(syms, tr4);
break;
}
case AST::CF_P2MM: {
double mirrorx = 0.0, mirrory = 0.0;
if (data.size() == 3) {
mirrorx = data[1];
mirrory = data[2];
} else if (data.size() != 1) {
CfdgError::Error(where, "p2mm symmetry takes no arguments or a center of relection");
}
processDihedral(syms, 2.0, mirrorx, mirrory, true, 0.0, where);
break;
}
case AST::CF_PM: {
if (!rectangular && !square45) {
CfdgError::Error(where, "pm symmetry requires rectangular tiling");
}
double offset = 0.0;
switch (data.size()) {
case 2:
break;
case 3:
offset = data[2];
break;
default:
CfdgError::Error(where, "pm symmetry takes a mirror axis argument and an optional axis position argument");
}
agg::trans_affine tr;
addUnique(syms, tr);
int axis = static_cast<int>(data[1]);
if (rectangular && (axis < 0 || axis > 1))
CfdgError(where, "pm symmetry mirror axis argument must be 0 or 1");
else if (square45 && (axis < 2 || axis > 3))
CfdgError::Error(where, "pm symmetry mirror axis argument must be 2 or 3");
switch (axis) {
case 0: // mirror on x axis
tr.translate(0, -offset);
tr.flip_y();
tr.translate(0, offset);
break;
case 1: // mirror on y axis
tr.translate(-offset, 0);
tr.flip_x();
tr.translate(offset, 0);
break;
case 2: // mirror on x=y axis
tr.translate(-offset * M_SQRT1_2, offset * M_SQRT1_2);
tr *= ref45;
tr.translate( offset * M_SQRT1_2, -offset * M_SQRT1_2);
break;
case 3: // mirror on x=-y axis
tr.translate(-offset * M_SQRT1_2, -offset * M_SQRT1_2);
tr *= ref135;
tr.translate( offset * M_SQRT1_2, offset * M_SQRT1_2);
break;
default:
CfdgError::Error(where, "pm symmetry mirror axis argument must be 0, 1, 2, or 3");
break;
}
addUnique(syms, tr);
break;
}
case AST::CF_PG: {
if (!rectangular && !square45) {
CfdgError::Error(where, "pg symmetry requires rectangular tiling");
}
double offset = 0.0;
switch (data.size()) {
case 2:
break;
case 3:
offset = data[2];
break;
default:
CfdgError::Error(where, "pg symmetry takes a glide axis argument and an optional axis position argument");
}
agg::trans_affine tr;
addUnique(syms, tr);
int axis = static_cast<int>(data[1]);
if (rectangular && (axis < 0 || axis > 1))
CfdgError(where, "pg symmetry mirror axis argument must be 0 or 1");
else if (square45 && (axis < 2 || axis > 3))
CfdgError::Error(where, "pg symmetry mirror axis argument must be 2 or 3");
switch (axis) {
case 0: // mirror on x axis
tr.translate(0, -offset);
tr.flip_y();
tr.translate(tile.sx * 0.5, offset);
break;
case 1: // mirror on y axis
tr.translate(-offset, 0);
tr.flip_x();
tr.translate(offset, tile.sy * 0.5);
break;
case 2: // mirror on x=y axis
tr.translate(-offset * M_SQRT1_2, offset * M_SQRT1_2);
tr *= ref45;
tr.translate(( offset + size45 * 0.5) * M_SQRT1_2, (-offset + size45 * 0.5) * M_SQRT1_2);
break;
case 3: // mirror on x=-y axis
tr.translate(-offset * M_SQRT1_2, -offset * M_SQRT1_2);
tr *= ref135;
tr.translate(( offset - size45 * 0.5) * M_SQRT1_2, ( offset + size45 * 0.5) * M_SQRT1_2);
break;
default:
CfdgError::Error(where, "pg symmetry glide axis argument must be 0, 1, 2, or 3");
break;
}
addUnique(syms, tr);
break;
}
case AST::CF_CM: {
if (!rhombic && !square) {
CfdgError::Error(where, "cm symmetry requires diamond tiling");
}
double offset = 0.0;
switch (data.size()) {
case 2:
break;
case 3:
offset = data[2];
break;
default:
CfdgError::Error(where, "cm symmetry takes a mirror axis argument and an optional axis position argument");
}
agg::trans_affine tr;
addUnique(syms, tr);
int axis = static_cast<int>(data[1]);
if (rhombic && (axis < 0 || axis > 1))
CfdgError(where, "cm symmetry mirror axis argument must be 0 or 1");
else if (square && (axis < 2 || axis > 3))
CfdgError::Error(where, "cm symmetry mirror axis argument must be 2 or 3");
switch (axis) {
case 0: // mirror on x axis
tr.translate(0, -offset);
tr.flip_y();
tr.translate(0, offset);
break;
case 1: // mirror on y axis
tr.translate(-offset, 0);
tr.flip_x();
tr.translate(offset, 0);
break;
case 2: // mirror on x=y axis
tr.translate( offset * M_SQRT1_2, -offset * M_SQRT1_2);
tr *= ref45;
tr.translate(-offset * M_SQRT1_2, offset * M_SQRT1_2);
break;
case 3: // mirror on x=-y axis
tr.translate(-offset * M_SQRT1_2, -offset * M_SQRT1_2);
tr *= ref135;
tr.translate( offset * M_SQRT1_2, offset * M_SQRT1_2);
break;
default:
CfdgError::Error(where, "cm symmetry mirror axis argument must be 0, 1, 2, or 3");
break;
}
addUnique(syms, tr);
break;
}
case AST::CF_PMM: {
if (!rectangular && !square45) {
CfdgError::Error(where, "pmm symmetry requires rectangular tiling");
}
double centerx = 0.0, centery = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
centerx = data[1];
centery = data[2];
break;
default:
CfdgError::Error(where, "pmm symmetry takes no arguments or a center of reflection");
}
processDihedral(syms, 2.0, centerx, centery, true, square45 ? M_PI_4 : 0.0, where);
break;
}
case AST::CF_PMG: {
if (!rectangular && !square45) {
CfdgError::Error(where, "pmg symmetry requires rectangular tiling");
}
double centerx = 0.0, centery = 0.0;
switch (data.size()) {
case 2:
break;
case 4:
centerx = data[2];
centery = data[3];
break;
default:
CfdgError::Error(where, "pmg symmetry takes a mirror axis argument and an optional center of reflection");
}
agg::trans_affine tr, tr2;
int axis = static_cast<int>(data[1]);
if (rectangular && (axis < 0 || axis > 1))
CfdgError(where, "pmg symmetry mirror axis argument must be 0 or 1");
else if (square45 && (axis < 2 || axis > 3))
CfdgError::Error(where, "pmg symmetry mirror axis argument must be 2 or 3");
switch (axis) {
case 0: { // mirror on x axis
double cy = fabs(centery + 0.25 * tile.sy) < fabs(centery - 0.25 * tile.sy) ?
centery + 0.25 * tile.sy : centery - 0.25 * tile.sy;
processDihedral(syms, 2.0, centerx, cy, false, 0.0, where);
tr.translate(-centerx, 0.0);
tr.flip_x();
tr.translate(centerx, 0.5 * tile.sy);
addUnique(syms, tr);
tr2.translate(0.0, -centery);
tr2.flip_y();
tr2.translate(0.0, centery);
addUnique(syms, tr2);
break;
}
case 1: { // mirror on y axis
double cx = fabs(centerx + 0.25 * tile.sx) < fabs(centerx - 0.25 * tile.sx) ?
centerx + 0.25 * tile.sx : centerx - 0.25 * tile.sx;
processDihedral(syms, 2.0, cx, centery, false, 0.0, where);
tr.translate(-centerx, 0.0);
tr.flip_x();
tr.translate(centerx, 0.0);
addUnique(syms, tr);
tr2.translate(0.0, -centery);
tr2.flip_y();
tr2.translate(0.5 * tile.sx, centery);
addUnique(syms, tr2);
break;
}
case 2: { // mirror on x=y axis
double cx = centerx - 0.25 * M_SQRT1_2 * size45;
double cy = centery + 0.25 * M_SQRT1_2 * size45;
double cx2 = centerx + 0.25 * M_SQRT1_2 * size45;
double cy2 = centery - 0.25 * M_SQRT1_2 * size45;
if (cx2 * cx2 + cy2 * cy2 < cx * cx + cy * cy) {
cx = cx2;
cy = cy2;
}
processDihedral(syms, 2.0, cx, cy, false, 0.0, where);
tr.translate(-centerx, -centery); // mirror on x=y
tr *= ref45;
tr.translate( centerx, centery);
addUnique(syms, tr);
tr2.translate(-centerx, -centery); // glide on x=-y
tr2 *= ref135;
tr2.translate(centerx - size45 * M_SQRT1_2 * 0.5, centery + size45 * M_SQRT1_2 * 0.5);
addUnique(syms, tr2);
break;
}
case 3: { // mirror on x=-y axis
double cx = centerx + 0.25 * M_SQRT1_2 * size45;
double cy = centery + 0.25 * M_SQRT1_2 * size45;
double cx2 = centerx - 0.25 * M_SQRT1_2 * size45;
double cy2 = centery - 0.25 * M_SQRT1_2 * size45;
if (cx2 * cx2 + cy2 * cy2 < cx * cx + cy * cy) {
cx = cx2;
cy = cy2;
}
processDihedral(syms, 2.0, cx, cy, false, 0.0, where);
tr.translate(-centerx, -centery); // mirror on x=-y
tr *= ref135;
tr.translate( centerx, centery);
addUnique(syms, tr);
tr2.translate(-centerx, -centery); // glide on x=y
tr2 *= ref45;
tr2.translate(centerx + size45 * M_SQRT1_2 * 0.5, centery + size45 * M_SQRT1_2 * 0.5);
addUnique(syms, tr2);
break;
}
default:
CfdgError::Error(where, "pmg symmetry mirror axis argument must be 0, 1, 2, or 3");
break;
}
break;
}
case AST::CF_PGG: {
if (!rectangular && !square45) {
CfdgError::Error(where, "pgg symmetry requires rectangular tiling");
}
double centerx = 0.0, centery = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
centerx = data[1];
centery = data[2];
break;
default:
CfdgError::Error(where, "pgg symmetry takes no arguments or a center of glide axis intersection");
}
if (square45) {
double cx = centerx + 0.25 * M_SQRT2 * size45;
double cy = centery;
double cx2 = centerx - 0.25 * M_SQRT2 * size45;
double cy2 = centery;
if (cx2*cx2 + cy2*cy2 < cx*cx + cy*cy) {
cx = cx2;
cy = cy2;
}
cx2 = centerx;
cy2 = centery + 0.25 * M_SQRT2 * size45;
if (cx2*cx2 + cy2*cy2 < cx*cx + cy*cy) {
cx = cx2;
cy = cy2;
}
cx2 = centerx;
cy2 = centery - 0.25 * M_SQRT2 * size45;
if (cx2*cx2 + cy2*cy2 < cx*cx + cy*cy) {
cx = cx2;
cy = cy2;
}
processDihedral(syms, 2.0, cx, cy, false, 0.0, where);
agg::trans_affine tr, tr2;
tr.translate(-centerx, -centery); // glide on x=y
tr *= ref45;
tr.translate(centerx + size45 * M_SQRT1_2 * 0.5, centery + size45 * M_SQRT1_2 * 0.5);
addUnique(syms, tr);
tr2.translate(-centerx, -centery); // glide on x=-y
tr2 *= ref135;
tr2.translate(centerx - size45 * M_SQRT1_2 * 0.5, centery + size45 * M_SQRT1_2 * 0.5);
addUnique(syms, tr2);
break;
}
double cx = fabs(centerx + 0.25 * tile.sx) < fabs(centerx - 0.25 * tile.sx) ?
centerx + 0.25 * tile.sx : centerx - 0.25 * tile.sx;
double cy = fabs(centery + 0.25 * tile.sy) < fabs(centery - 0.25 * tile.sy) ?
centery + 0.25 * tile.sy : centery - 0.25 * tile.sy;
processDihedral(syms, 2.0, cx, cy, false, 0.0, where);
agg::trans_affine tr, tr2;
tr.translate(-centerx, 0.0);
tr.flip_x();
tr.translate(centerx, 0.5 * tile.sy);
addUnique(syms, tr);
tr2.translate(0.0, -centery);
tr2.flip_y();
tr2.translate(0.5 * tile.sx, centery);
addUnique(syms, tr2);
break;
}
case AST::CF_CMM: {
if (!rhombic && !square) {
CfdgError::Error(where, "cmm symmetry requires diamond tiling");
}
double centerx = 0.0, centery = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
centerx = data[1];
centery = data[2];
break;
default:
CfdgError::Error(where, "cmm symmetry takes no arguments or a center of reflection");
}
processDihedral(syms, 2.0, centerx, centery, true, square45 ? M_PI_4 : 0.0, where);
break;
}
case AST::CF_P4:
case AST::CF_P4M: {
if (!square && !square45) {
CfdgError::Error(where, "p4 & p4m symmetry requires square tiling");
}
double x = 0.0, y = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
x = data[1];
y = data[2];
break;
default:
CfdgError::Error(where, "p4 & p4m symmetry takes no arguments or a center of rotation");
}
processDihedral(syms, 4.0, x, y, t == AST::CF_P4M, square ? M_PI_4 : 0.0, where);
break;
}
case AST::CF_P4G: {
if (!square && !square45) {
CfdgError::Error(where, "p4g symmetry requires square tiling");
}
double centerx = 0.0, centery = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
centerx = data[1];
centery = data[2];
break;
default:
CfdgError::Error(where, "p4g symmetry takes no arguments or a center of rotation");
}
agg::trans_affine reg;
reg.translate(-centerx, -centery);
agg::trans_affine glide(reg);
if (square45) {
glide.translate(-size45 * 0.25 * M_SQRT1_2, -size45 * 0.25 * M_SQRT1_2);
glide *= ref135;
glide.translate(-size45 * 0.25 * M_SQRT1_2, size45 * 0.75 * M_SQRT1_2);
} else {
glide.translate(tile.sx * 0.25, 0.0);
glide.flip_x();
glide.translate(-tile.sx * 0.25, tile.sy * 0.5);
}
for (int i = 0; i < 4; ++i) {
agg::trans_affine tr(reg), tr2(glide);
if (i) {
tr.rotate(i * M_PI_2);
tr2.rotate(i * M_PI_2);
}
tr.translate(centerx, centery);
tr2.translate(centerx, centery);
addUnique(syms, tr);
addUnique(syms, tr2);
}
break;
}
case AST::CF_P3: {
if (!hexagonal) {
CfdgError::Error(where, "p3 symmetry requires hexagonal tiling");
}
double x = 0.0, y = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
x = data[1];
y = data[2];
break;
default:
CfdgError::Error(where, "p3 symmetry takes no arguments or a center of rotation");
}
processDihedral(syms, 3.0, x, y, false, 0.0, where);
break;
}
case AST::CF_P3M1:
case AST::CF_P31M: {
if (!hexagonal) {
CfdgError::Error(where, "p3m1 & p31m symmetry requires hexagonal tiling");
}
double x = 0.0, y = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
x = data[1];
y = data[2];
break;
default:
CfdgError::Error(where, "p3m1 & p31m symmetry takes no arguments or a center of rotation");
}
bool deg30 = (fabs(tile.shx) <= 0.000001) != (t == AST::CF_P3M1);
double angle = M_PI / (deg30 ? 6.0 : 3.0);
processDihedral(syms, 3.0, x, y, true, angle, where);
break;
}
case AST::CF_P6:
case AST::CF_P6M: {
if (!hexagonal) {
CfdgError::Error(where, "p6 & p6m symmetry requires hexagonal tiling");
}
double x = 0.0, y = 0.0;
switch (data.size()) {
case 1:
break;
case 3:
x = data[1];
y = data[2];
break;
default:
CfdgError::Error(where, "p6 & p6m symmetry takes no arguments or a center of rotation");
}
processDihedral(syms, 6.0, x, y, t == AST::CF_P6M, 0.0, where);
break;
}
default:
CfdgError::Error(where, "Unknown symmetry type");
break; // never gets here
}
data.clear();
}
std::vector<const ASTmodification*>
getTransforms(const ASTexpression* e, SymmList& syms, RendererAST* r,
bool tiled, agg::trans_affine& tile)
{
std::vector<const ASTmodification*> ret;
syms.clear();
if (e == nullptr) return ret;
std::vector<double> symmSpec;
yy::location where;
bool snarfFlagOpts = false;
for (auto&& kid: *e) {
switch (kid.mType) {
case FlagType:
if (snarfFlagOpts)
processSymmSpec(syms, tile, tiled, symmSpec, where);
// Snarf and process the numeric arguments for the symmetry spec
where = kid.where;
snarfFlagOpts = true;
FALLTHROUGH;
case NumericType:
if (snarfFlagOpts) {
int sz = kid.evaluate();
if (sz < 1) {
CfdgError::Error(kid.where, "Could not evaluate this");
} else {
size_t oldsize = symmSpec.size();
symmSpec.resize(oldsize + sz);
if (kid.evaluate(symmSpec.data() + oldsize, sz, r) != sz)
CfdgError::Error(kid.where, "Could not evaluate this");
}
where = where + kid.where;
} else {
CfdgError::Error(kid.where, "Symmetry flag expected here");
}
break;
case ModType:
if (snarfFlagOpts)
processSymmSpec(syms, tile, tiled, symmSpec, where);
snarfFlagOpts = false;
if (const ASTmodification* m = dynamic_cast<const ASTmodification*>(&kid)) {
if ((m->modClass &
(ASTmodification::GeomClass | ASTmodification::PathOpClass)) ==
m->modClass && (r || m->isConstant))
{
Modification mod;
kid.evaluate(mod, false, r);
addUnique(syms, mod.m_transform);
} else {
ret.push_back(m);
}
} else {
CfdgError::Error(kid.where, "Wrong type");
}
break;
default:
CfdgError::Error(kid.where, "Wrong type");
break;
}
}
if (snarfFlagOpts)
processSymmSpec(syms, tile, tiled, symmSpec, where);
return ret;
}
}
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