1 /*-------------------------------------------------------------------------
2 * drawElements Quality Program OpenGL (ES) Module
3 * -----------------------------------------------
5 * Copyright 2014 The Android Open Source Project
7 * Licensed under the Apache License, Version 2.0 (the "License");
8 * you may not use this file except in compliance with the License.
9 * You may obtain a copy of the License at
11 * http://www.apache.org/licenses/LICENSE-2.0
13 * Unless required by applicable law or agreed to in writing, software
14 * distributed under the License is distributed on an "AS IS" BASIS,
15 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
16 * See the License for the specific language governing permissions and
17 * limitations under the License.
21 * \brief Precision and range tests for GLSL builtins and types.
23 *//*--------------------------------------------------------------------*/
25 #include "glsBuiltinPrecisionTests.hpp"
30 #include "deRandom.hpp"
31 #include "deSTLUtil.hpp"
32 #include "deStringUtil.hpp"
33 #include "deUniquePtr.hpp"
34 #include "deSharedPtr.hpp"
35 #include "deArrayUtil.hpp"
37 #include "tcuCommandLine.hpp"
38 #include "tcuFloatFormat.hpp"
39 #include "tcuInterval.hpp"
40 #include "tcuTestCase.hpp"
41 #include "tcuTestLog.hpp"
42 #include "tcuVector.hpp"
43 #include "tcuMatrix.hpp"
44 #include "tcuResultCollector.hpp"
46 #include "gluContextInfo.hpp"
47 #include "gluVarType.hpp"
48 #include "gluRenderContext.hpp"
49 #include "glwDefs.hpp"
51 #include "glsShaderExecUtil.hpp"
60 // Uncomment this to get evaluation trace dumps to std::cerr
61 // #define GLS_ENABLE_TRACE
63 // set this to true to dump even passing results
64 #define GLS_LOG_ALL_RESULTS false
68 // Computing reference intervals can take a non-trivial amount of time, especially on
69 // platforms where toggling floating-point rounding mode is slow (emulated arm on x86).
70 // As a workaround watchdog is kept happy by touching it periodically during reference
71 // interval computation.
72 TOUCH_WATCHDOG_VALUE_FREQUENCY = 4096
79 namespace BuiltinPrecisionTests
85 using std::ostringstream;
95 using tcu::FloatFormat;
96 using tcu::MessageBuilder;
101 namespace matrix = tcu::matrix;
102 using glu::Precision;
103 using glu::RenderContext;
106 using glu::ShaderType;
107 using glu::ContextInfo;
108 using gls::ShaderExecUtil::Symbol;
110 typedef TestCase::IterateResult IterateResult;
115 /*--------------------------------------------------------------------*//*!
116 * \brief Generic singleton creator.
118 * instance<T>() returns a reference to a unique default-constructed instance
119 * of T. This is mainly used for our GLSL function implementations: each
120 * function is implemented by an object, and each of the objects has a
121 * distinct class. It would be extremely toilsome to maintain a separate
122 * context object that contained individual instances of the function classes,
123 * so we have to resort to global singleton instances.
125 *//*--------------------------------------------------------------------*/
126 template <typename T>
127 const T& instance (void)
129 static const T s_instance = T();
133 /*--------------------------------------------------------------------*//*!
134 * \brief Dummy placeholder type for unused template parameters.
136 * In the precision tests we are dealing with functions of different arities.
137 * To minimize code duplication, we only define templates with the maximum
138 * number of arguments, currently four. If a function's arity is less than the
139 * maximum, Void us used as the type for unused arguments.
141 * Although Voids are not used at run-time, they still must be compilable, so
142 * they must support all operations that other types do.
144 *//*--------------------------------------------------------------------*/
147 typedef Void Element;
153 template <typename T>
154 explicit Void (const T&) {}
156 operator double (void) const { return TCU_NAN; }
158 // These are used to make Voids usable as containers in container-generic code.
159 Void& operator[] (int) { return *this; }
160 const Void& operator[] (int) const { return *this; }
163 ostream& operator<< (ostream& os, Void) { return os << "()"; }
165 //! Returns true for all other types except Void
166 template <typename T> bool isTypeValid (void) { return true; }
167 template <> bool isTypeValid<Void> (void) { return false; }
169 //! Utility function for getting the name of a data type.
170 //! This is used in vector and matrix constructors.
171 template <typename T>
172 const char* dataTypeNameOf (void)
174 return glu::getDataTypeName(glu::dataTypeOf<T>());
178 const char* dataTypeNameOf<Void> (void)
180 DE_FATAL("Impossible");
184 //! A hack to get Void support for VarType.
185 template <typename T>
186 VarType getVarTypeOf (Precision prec = glu::PRECISION_LAST)
188 return glu::varTypeOf<T>(prec);
192 VarType getVarTypeOf<Void> (Precision)
194 DE_FATAL("Impossible");
198 /*--------------------------------------------------------------------*//*!
199 * \brief Type traits for generalized interval types.
201 * We are trying to compute sets of acceptable values not only for
202 * float-valued expressions but also for compound values: vectors and
203 * matrices. We approximate a set of vectors as a vector of intervals and
204 * likewise for matrices.
206 * We now need generalized operations for each type and its interval
207 * approximation. These are given in the type Traits<T>.
209 * The type Traits<T>::IVal is the approximation of T: it is `Interval` for
210 * scalar types, and a vector or matrix of intervals for container types.
212 * To allow template inference to take place, there are function wrappers for
213 * the actual operations in Traits<T>. Hence we can just use:
215 * makeIVal(someFloat)
219 * Traits<float>::doMakeIVal(value)
221 *//*--------------------------------------------------------------------*/
223 template <typename T> struct Traits;
225 //! Create container from elementwise singleton values.
226 template <typename T>
227 typename Traits<T>::IVal makeIVal (const T& value)
229 return Traits<T>::doMakeIVal(value);
232 //! Elementwise union of intervals.
233 template <typename T>
234 typename Traits<T>::IVal unionIVal (const typename Traits<T>::IVal& a,
235 const typename Traits<T>::IVal& b)
237 return Traits<T>::doUnion(a, b);
240 //! Returns true iff every element of `ival` contains the corresponding element of `value`.
241 template <typename T>
242 bool contains (const typename Traits<T>::IVal& ival, const T& value)
244 return Traits<T>::doContains(ival, value);
247 //! Print out an interval with the precision of `fmt`.
248 template <typename T>
249 void printIVal (const FloatFormat& fmt, const typename Traits<T>::IVal& ival, ostream& os)
251 Traits<T>::doPrintIVal(fmt, ival, os);
254 template <typename T>
255 string intervalToString (const FloatFormat& fmt, const typename Traits<T>::IVal& ival)
258 printIVal<T>(fmt, ival, oss);
262 //! Print out a value with the precision of `fmt`.
263 template <typename T>
264 void printValue (const FloatFormat& fmt, const T& value, ostream& os)
266 Traits<T>::doPrintValue(fmt, value, os);
269 template <typename T>
270 string valueToString (const FloatFormat& fmt, const T& val)
273 printValue(fmt, val, oss);
277 //! Approximate `value` elementwise to the float precision defined in `fmt`.
278 //! The resulting interval might not be a singleton if rounding in both
279 //! directions is allowed.
280 template <typename T>
281 typename Traits<T>::IVal round (const FloatFormat& fmt, const T& value)
283 return Traits<T>::doRound(fmt, value);
286 template <typename T>
287 typename Traits<T>::IVal convert (const FloatFormat& fmt,
288 const typename Traits<T>::IVal& value)
290 return Traits<T>::doConvert(fmt, value);
293 //! Common traits for scalar types.
294 template <typename T>
297 typedef Interval IVal;
299 static Interval doMakeIVal (const T& value)
301 // Thankfully all scalar types have a well-defined conversion to `double`,
302 // hence Interval can represent their ranges without problems.
303 return Interval(double(value));
306 static Interval doUnion (const Interval& a, const Interval& b)
311 static bool doContains (const Interval& a, T value)
313 return a.contains(double(value));
316 static Interval doConvert (const FloatFormat& fmt, const IVal& ival)
318 return fmt.convert(ival);
321 static Interval doRound (const FloatFormat& fmt, T value)
323 return fmt.roundOut(double(value), false);
328 struct Traits<float> : ScalarTraits<float>
330 static void doPrintIVal (const FloatFormat& fmt,
331 const Interval& ival,
334 os << fmt.intervalToHex(ival);
337 static void doPrintValue (const FloatFormat& fmt,
341 os << fmt.floatToHex(value);
346 struct Traits<bool> : ScalarTraits<bool>
348 static void doPrintValue (const FloatFormat&,
352 os << (value != 0.0f ? "true" : "false");
355 static void doPrintIVal (const FloatFormat&,
356 const Interval& ival,
360 if (ival.contains(false))
362 if (ival.contains(false) && ival.contains(true))
364 if (ival.contains(true))
371 struct Traits<int> : ScalarTraits<int>
373 static void doPrintValue (const FloatFormat&,
380 static void doPrintIVal (const FloatFormat&,
381 const Interval& ival,
384 os << "[" << int(ival.lo()) << ", " << int(ival.hi()) << "]";
388 //! Common traits for containers, i.e. vectors and matrices.
389 //! T is the container type itself, I is the same type with interval elements.
390 template <typename T, typename I>
391 struct ContainerTraits
393 typedef typename T::Element Element;
396 static IVal doMakeIVal (const T& value)
400 for (int ndx = 0; ndx < T::SIZE; ++ndx)
401 ret[ndx] = makeIVal(value[ndx]);
406 static IVal doUnion (const IVal& a, const IVal& b)
410 for (int ndx = 0; ndx < T::SIZE; ++ndx)
411 ret[ndx] = unionIVal<Element>(a[ndx], b[ndx]);
416 static bool doContains (const IVal& ival, const T& value)
418 for (int ndx = 0; ndx < T::SIZE; ++ndx)
419 if (!contains(ival[ndx], value[ndx]))
425 static void doPrintIVal (const FloatFormat& fmt, const IVal ival, ostream& os)
429 for (int ndx = 0; ndx < T::SIZE; ++ndx)
434 printIVal<Element>(fmt, ival[ndx], os);
440 static void doPrintValue (const FloatFormat& fmt, const T& value, ostream& os)
442 os << dataTypeNameOf<T>() << "(";
444 for (int ndx = 0; ndx < T::SIZE; ++ndx)
449 printValue<Element>(fmt, value[ndx], os);
455 static IVal doConvert (const FloatFormat& fmt, const IVal& value)
459 for (int ndx = 0; ndx < T::SIZE; ++ndx)
460 ret[ndx] = convert<Element>(fmt, value[ndx]);
465 static IVal doRound (const FloatFormat& fmt, T value)
469 for (int ndx = 0; ndx < T::SIZE; ++ndx)
470 ret[ndx] = round(fmt, value[ndx]);
476 template <typename T, int Size>
477 struct Traits<Vector<T, Size> > :
478 ContainerTraits<Vector<T, Size>, Vector<typename Traits<T>::IVal, Size> >
482 template <typename T, int Rows, int Cols>
483 struct Traits<Matrix<T, Rows, Cols> > :
484 ContainerTraits<Matrix<T, Rows, Cols>, Matrix<typename Traits<T>::IVal, Rows, Cols> >
488 //! Void traits. These are just dummies, but technically valid: a Void is a
489 //! unit type with a single possible value.
495 static Void doMakeIVal (const Void& value) { return value; }
496 static Void doUnion (const Void&, const Void&) { return Void(); }
497 static bool doContains (const Void&, Void) { return true; }
498 static Void doRound (const FloatFormat&, const Void& value) { return value; }
499 static Void doConvert (const FloatFormat&, const Void& value) { return value; }
501 static void doPrintValue (const FloatFormat&, const Void&, ostream& os)
506 static void doPrintIVal (const FloatFormat&, const Void&, ostream& os)
512 //! This is needed for container-generic operations.
513 //! We want a scalar type T to be its own "one-element vector".
514 template <typename T, int Size> struct ContainerOf { typedef Vector<T, Size> Container; };
516 template <typename T> struct ContainerOf<T, 1> { typedef T Container; };
517 template <int Size> struct ContainerOf<Void, Size> { typedef Void Container; };
519 // This is a kludge that is only needed to get the ExprP::operator[] syntactic sugar to work.
520 template <typename T> struct ElementOf { typedef typename T::Element Element; };
521 template <> struct ElementOf<float> { typedef void Element; };
522 template <> struct ElementOf<bool> { typedef void Element; };
523 template <> struct ElementOf<int> { typedef void Element; };
525 /*--------------------------------------------------------------------*//*!
527 * \name Abstract syntax for expressions and statements.
529 * We represent GLSL programs as syntax objects: an Expr<T> represents an
530 * expression whose GLSL type corresponds to the C++ type T, and a Statement
531 * represents a statement.
533 * To ease memory management, we use shared pointers to refer to expressions
534 * and statements. ExprP<T> is a shared pointer to an Expr<T>, and StatementP
535 * is a shared pointer to a Statement.
539 *//*--------------------------------------------------------------------*/
546 template <typename T> class ExprP;
547 template <typename T> class Variable;
548 template <typename T> class VariableP;
549 template <typename T> class DefaultSampling;
551 typedef set<const FuncBase*> FuncSet;
553 template <typename T>
554 VariableP<T> variable (const string& name);
555 StatementP compoundStatement (const vector<StatementP>& statements);
557 /*--------------------------------------------------------------------*//*!
558 * \brief A variable environment.
560 * An Environment object maintains the mapping between variables of the
561 * abstract syntax tree and their values.
563 * \todo [2014-03-28 lauri] At least run-time type safety.
565 *//*--------------------------------------------------------------------*/
570 void bind (const Variable<T>& variable,
571 const typename Traits<T>::IVal& value)
573 deUint8* const data = new deUint8[sizeof(value)];
575 deMemcpy(data, &value, sizeof(value));
576 de::insert(m_map, variable.getName(), SharedPtr<deUint8>(data, de::ArrayDeleter<deUint8>()));
580 typename Traits<T>::IVal& lookup (const Variable<T>& variable) const
582 deUint8* const data = de::lookup(m_map, variable.getName()).get();
584 return *reinterpret_cast<typename Traits<T>::IVal*>(data);
588 map<string, SharedPtr<deUint8> > m_map;
591 /*--------------------------------------------------------------------*//*!
592 * \brief Evaluation context.
594 * The evaluation context contains everything that separates one execution of
595 * an expression from the next. Currently this means the desired floating
596 * point precision and the current variable environment.
598 *//*--------------------------------------------------------------------*/
601 EvalContext (const FloatFormat& format_,
602 Precision floatPrecision_,
606 , floatPrecision (floatPrecision_)
608 , callDepth (callDepth_) {}
611 Precision floatPrecision;
616 /*--------------------------------------------------------------------*//*!
617 * \brief Simple incremental counter.
619 * This is used to make sure that different ExpandContexts will not produce
620 * overlapping temporary names.
622 *//*--------------------------------------------------------------------*/
626 Counter (int count = 0) : m_count(count) {}
627 int operator() (void) { return m_count++; }
636 ExpandContext (Counter& symCounter) : m_symCounter(symCounter) {}
637 ExpandContext (const ExpandContext& parent)
638 : m_symCounter(parent.m_symCounter) {}
641 VariableP<T> genSym (const string& baseName)
643 return variable<T>(baseName + de::toString(m_symCounter()));
646 void addStatement (const StatementP& stmt)
648 m_statements.push_back(stmt);
651 vector<StatementP> getStatements (void) const
656 Counter& m_symCounter;
657 vector<StatementP> m_statements;
660 /*--------------------------------------------------------------------*//*!
661 * \brief A statement or declaration.
663 * Statements have no values. Instead, they are executed for their side
664 * effects only: the execute() method should modify at least one variable in
667 * As a bit of a kludge, a Statement object can also represent a declaration:
668 * when it is evaluated, it can add a variable binding to the environment
669 * instead of modifying a current one.
671 *//*--------------------------------------------------------------------*/
675 virtual ~Statement (void) { }
676 //! Execute the statement, modifying the environment of `ctx`
677 void execute (EvalContext& ctx) const { this->doExecute(ctx); }
678 void print (ostream& os) const { this->doPrint(os); }
679 //! Add the functions used in this statement to `dst`.
680 void getUsedFuncs (FuncSet& dst) const { this->doGetUsedFuncs(dst); }
683 virtual void doPrint (ostream& os) const = 0;
684 virtual void doExecute (EvalContext& ctx) const = 0;
685 virtual void doGetUsedFuncs (FuncSet& dst) const = 0;
688 ostream& operator<<(ostream& os, const Statement& stmt)
694 /*--------------------------------------------------------------------*//*!
695 * \brief Smart pointer for statements (and declarations)
697 *//*--------------------------------------------------------------------*/
698 class StatementP : public SharedPtr<const Statement>
701 typedef SharedPtr<const Statement> Super;
704 explicit StatementP (const Statement* ptr) : Super(ptr) {}
705 StatementP (const Super& ptr) : Super(ptr) {}
708 /*--------------------------------------------------------------------*//*!
711 * A statement that modifies a variable or a declaration that binds a variable.
713 *//*--------------------------------------------------------------------*/
714 template <typename T>
715 class VariableStatement : public Statement
718 VariableStatement (const VariableP<T>& variable, const ExprP<T>& value,
720 : m_variable (variable)
722 , m_isDeclaration (isDeclaration) {}
725 void doPrint (ostream& os) const
728 os << glu::declare(getVarTypeOf<T>(), m_variable->getName());
730 os << m_variable->getName();
732 os << " = " << *m_value << ";\n";
735 void doExecute (EvalContext& ctx) const
738 ctx.env.bind(*m_variable, m_value->evaluate(ctx));
740 ctx.env.lookup(*m_variable) = m_value->evaluate(ctx);
743 void doGetUsedFuncs (FuncSet& dst) const
745 m_value->getUsedFuncs(dst);
748 VariableP<T> m_variable;
750 bool m_isDeclaration;
753 template <typename T>
754 StatementP variableStatement (const VariableP<T>& variable,
755 const ExprP<T>& value,
758 return StatementP(new VariableStatement<T>(variable, value, isDeclaration));
761 template <typename T>
762 StatementP variableDeclaration (const VariableP<T>& variable, const ExprP<T>& definiens)
764 return variableStatement(variable, definiens, true);
767 template <typename T>
768 StatementP variableAssignment (const VariableP<T>& variable, const ExprP<T>& value)
770 return variableStatement(variable, value, false);
773 /*--------------------------------------------------------------------*//*!
774 * \brief A compound statement, i.e. a block.
776 * A compound statement is executed by executing its constituent statements in
779 *//*--------------------------------------------------------------------*/
780 class CompoundStatement : public Statement
783 CompoundStatement (const vector<StatementP>& statements)
784 : m_statements (statements) {}
787 void doPrint (ostream& os) const
791 for (size_t ndx = 0; ndx < m_statements.size(); ++ndx)
792 os << *m_statements[ndx];
797 void doExecute (EvalContext& ctx) const
799 for (size_t ndx = 0; ndx < m_statements.size(); ++ndx)
800 m_statements[ndx]->execute(ctx);
803 void doGetUsedFuncs (FuncSet& dst) const
805 for (size_t ndx = 0; ndx < m_statements.size(); ++ndx)
806 m_statements[ndx]->getUsedFuncs(dst);
809 vector<StatementP> m_statements;
812 StatementP compoundStatement(const vector<StatementP>& statements)
814 return StatementP(new CompoundStatement(statements));
817 //! Common base class for all expressions regardless of their type.
821 virtual ~ExprBase (void) {}
822 void printExpr (ostream& os) const { this->doPrintExpr(os); }
824 //! Output the functions that this expression refers to
825 void getUsedFuncs (FuncSet& dst) const
827 this->doGetUsedFuncs(dst);
831 virtual void doPrintExpr (ostream&) const {}
832 virtual void doGetUsedFuncs (FuncSet&) const {}
835 //! Type-specific operations for an expression representing type T.
836 template <typename T>
837 class Expr : public ExprBase
841 typedef typename Traits<T>::IVal IVal;
843 IVal evaluate (const EvalContext& ctx) const;
846 virtual IVal doEvaluate (const EvalContext& ctx) const = 0;
849 //! Evaluate an expression with the given context, optionally tracing the calls to stderr.
850 template <typename T>
851 typename Traits<T>::IVal Expr<T>::evaluate (const EvalContext& ctx) const
853 #ifdef GLS_ENABLE_TRACE
854 static const FloatFormat highpFmt (-126, 127, 23, true,
858 EvalContext newCtx (ctx.format, ctx.floatPrecision,
859 ctx.env, ctx.callDepth + 1);
860 const IVal ret = this->doEvaluate(newCtx);
862 if (isTypeValid<T>())
864 std::cerr << string(ctx.callDepth, ' ');
865 this->printExpr(std::cerr);
866 std::cerr << " -> " << intervalToString<T>(highpFmt, ret) << std::endl;
870 return this->doEvaluate(ctx);
874 template <typename T>
875 class ExprPBase : public SharedPtr<const Expr<T> >
880 ostream& operator<< (ostream& os, const ExprBase& expr)
886 /*--------------------------------------------------------------------*//*!
887 * \brief Shared pointer to an expression of a container type.
889 * Container types (i.e. vectors and matrices) support the subscription
890 * operator. This class provides a bit of syntactic sugar to allow us to use
891 * the C++ subscription operator to create a subscription expression.
892 *//*--------------------------------------------------------------------*/
893 template <typename T>
894 class ContainerExprPBase : public ExprPBase<T>
897 ExprP<typename T::Element> operator[] (int i) const;
900 template <typename T>
901 class ExprP : public ExprPBase<T> {};
903 // We treat Voids as containers since the dummy parameters in generalized
904 // vector functions are represented as Voids.
906 class ExprP<Void> : public ContainerExprPBase<Void> {};
908 template <typename T, int Size>
909 class ExprP<Vector<T, Size> > : public ContainerExprPBase<Vector<T, Size> > {};
911 template <typename T, int Rows, int Cols>
912 class ExprP<Matrix<T, Rows, Cols> > : public ContainerExprPBase<Matrix<T, Rows, Cols> > {};
914 template <typename T> ExprP<T> exprP (void)
919 template <typename T>
920 ExprP<T> exprP (const SharedPtr<const Expr<T> >& ptr)
923 static_cast<SharedPtr<const Expr<T> >&>(ret) = ptr;
927 template <typename T>
928 ExprP<T> exprP (const Expr<T>* ptr)
930 return exprP(SharedPtr<const Expr<T> >(ptr));
933 /*--------------------------------------------------------------------*//*!
934 * \brief A shared pointer to a variable expression.
936 * This is just a narrowing of ExprP for the operations that require a variable
937 * instead of an arbitrary expression.
939 *//*--------------------------------------------------------------------*/
940 template <typename T>
941 class VariableP : public SharedPtr<const Variable<T> >
944 typedef SharedPtr<const Variable<T> > Super;
945 explicit VariableP (const Variable<T>* ptr) : Super(ptr) {}
947 VariableP (const Super& ptr) : Super(ptr) {}
949 operator ExprP<T> (void) const { return exprP(SharedPtr<const Expr<T> >(*this)); }
952 /*--------------------------------------------------------------------*//*!
953 * \name Syntactic sugar operators for expressions.
957 * These operators allow the use of C++ syntax to construct GLSL expressions
958 * containing operators: e.g. "a+b" creates an addition expression with
959 * operands a and b, and so on.
961 *//*--------------------------------------------------------------------*/
962 ExprP<float> operator-(const ExprP<float>& arg0);
963 ExprP<float> operator+(const ExprP<float>& arg0,
964 const ExprP<float>& arg1);
965 ExprP<float> operator-(const ExprP<float>& arg0,
966 const ExprP<float>& arg1);
967 ExprP<float> operator*(const ExprP<float>& arg0,
968 const ExprP<float>& arg1);
969 ExprP<float> operator/(const ExprP<float>& arg0,
970 const ExprP<float>& arg1);
972 ExprP<Vector<float, Size> > operator-(const ExprP<Vector<float, Size> >& arg0);
974 ExprP<Vector<float, Size> > operator*(const ExprP<Vector<float, Size> >& arg0,
975 const ExprP<float>& arg1);
977 ExprP<Vector<float, Size> > operator*(const ExprP<Vector<float, Size> >& arg0,
978 const ExprP<Vector<float, Size> >& arg1);
980 ExprP<Vector<float, Size> > operator-(const ExprP<Vector<float, Size> >& arg0,
981 const ExprP<Vector<float, Size> >& arg1);
982 template<int Left, int Mid, int Right>
983 ExprP<Matrix<float, Left, Right> > operator* (const ExprP<Matrix<float, Left, Mid> >& left,
984 const ExprP<Matrix<float, Mid, Right> >& right);
985 template<int Rows, int Cols>
986 ExprP<Vector<float, Rows> > operator* (const ExprP<Vector<float, Cols> >& left,
987 const ExprP<Matrix<float, Rows, Cols> >& right);
988 template<int Rows, int Cols>
989 ExprP<Vector<float, Cols> > operator* (const ExprP<Matrix<float, Rows, Cols> >& left,
990 const ExprP<Vector<float, Rows> >& right);
991 template<int Rows, int Cols>
992 ExprP<Matrix<float, Rows, Cols> > operator* (const ExprP<Matrix<float, Rows, Cols> >& left,
993 const ExprP<float>& right);
994 template<int Rows, int Cols>
995 ExprP<Matrix<float, Rows, Cols> > operator+ (const ExprP<Matrix<float, Rows, Cols> >& left,
996 const ExprP<Matrix<float, Rows, Cols> >& right);
997 template<int Rows, int Cols>
998 ExprP<Matrix<float, Rows, Cols> > operator- (const ExprP<Matrix<float, Rows, Cols> >& mat);
1002 /*--------------------------------------------------------------------*//*!
1003 * \brief Variable expression.
1005 * A variable is evaluated by looking up its range of possible values from an
1007 *//*--------------------------------------------------------------------*/
1008 template <typename T>
1009 class Variable : public Expr<T>
1012 typedef typename Expr<T>::IVal IVal;
1014 Variable (const string& name) : m_name (name) {}
1015 string getName (void) const { return m_name; }
1018 void doPrintExpr (ostream& os) const { os << m_name; }
1019 IVal doEvaluate (const EvalContext& ctx) const
1021 return ctx.env.lookup<T>(*this);
1028 template <typename T>
1029 VariableP<T> variable (const string& name)
1031 return VariableP<T>(new Variable<T>(name));
1034 template <typename T>
1035 VariableP<T> bindExpression (const string& name, ExpandContext& ctx, const ExprP<T>& expr)
1037 VariableP<T> var = ctx.genSym<T>(name);
1038 ctx.addStatement(variableDeclaration(var, expr));
1042 /*--------------------------------------------------------------------*//*!
1043 * \brief Constant expression.
1045 * A constant is evaluated by rounding it to a set of possible values allowed
1046 * by the current floating point precision.
1047 *//*--------------------------------------------------------------------*/
1048 template <typename T>
1049 class Constant : public Expr<T>
1052 typedef typename Expr<T>::IVal IVal;
1054 Constant (const T& value) : m_value(value) {}
1057 void doPrintExpr (ostream& os) const { os << m_value; }
1058 IVal doEvaluate (const EvalContext&) const { return makeIVal(m_value); }
1064 template <typename T>
1065 ExprP<T> constant (const T& value)
1067 return exprP(new Constant<T>(value));
1070 //! Return a reference to a singleton void constant.
1071 const ExprP<Void>& voidP (void)
1073 static const ExprP<Void> singleton = constant(Void());
1078 /*--------------------------------------------------------------------*//*!
1079 * \brief Four-element tuple.
1081 * This is used for various things where we need one thing for each possible
1082 * function parameter. Currently the maximum supported number of parameters is
1084 *//*--------------------------------------------------------------------*/
1085 template <typename T0 = Void, typename T1 = Void, typename T2 = Void, typename T3 = Void>
1088 explicit Tuple4 (const T0 e0 = T0(),
1105 /*--------------------------------------------------------------------*//*!
1106 * \brief Function signature.
1108 * This is a purely compile-time structure used to bundle all types in a
1109 * function signature together. This makes passing the signature around in
1110 * templates easier, since we only need to take and pass a single Sig instead
1111 * of a bunch of parameter types and a return type.
1113 *//*--------------------------------------------------------------------*/
1114 template <typename R,
1115 typename P0 = Void, typename P1 = Void,
1116 typename P2 = Void, typename P3 = Void>
1124 typedef typename Traits<Ret>::IVal IRet;
1125 typedef typename Traits<Arg0>::IVal IArg0;
1126 typedef typename Traits<Arg1>::IVal IArg1;
1127 typedef typename Traits<Arg2>::IVal IArg2;
1128 typedef typename Traits<Arg3>::IVal IArg3;
1130 typedef Tuple4< const Arg0&, const Arg1&, const Arg2&, const Arg3&> Args;
1131 typedef Tuple4< const IArg0&, const IArg1&, const IArg2&, const IArg3&> IArgs;
1132 typedef Tuple4< ExprP<Arg0>, ExprP<Arg1>, ExprP<Arg2>, ExprP<Arg3> > ArgExprs;
1135 typedef vector<const ExprBase*> BaseArgExprs;
1137 /*--------------------------------------------------------------------*//*!
1138 * \brief Type-independent operations for function objects.
1140 *//*--------------------------------------------------------------------*/
1144 virtual ~FuncBase (void) {}
1145 virtual string getName (void) const = 0;
1146 //! Name of extension that this function requires, or empty.
1147 virtual string getRequiredExtension (void) const { return ""; }
1148 virtual void print (ostream&,
1149 const BaseArgExprs&) const = 0;
1150 //! Index of output parameter, or -1 if none of the parameters is output.
1151 virtual int getOutParamIndex (void) const { return -1; }
1153 void printDefinition (ostream& os) const
1155 doPrintDefinition(os);
1158 void getUsedFuncs (FuncSet& dst) const
1160 this->doGetUsedFuncs(dst);
1164 virtual void doPrintDefinition (ostream& os) const = 0;
1165 virtual void doGetUsedFuncs (FuncSet& dst) const = 0;
1168 typedef Tuple4<string, string, string, string> ParamNames;
1170 /*--------------------------------------------------------------------*//*!
1171 * \brief Function objects.
1173 * Each Func object represents a GLSL function. It can be applied to interval
1174 * arguments, and it returns the an interval that is a conservative
1175 * approximation of the image of the GLSL function over the argument
1176 * intervals. That is, it is given a set of possible arguments and it returns
1177 * the set of possible values.
1179 *//*--------------------------------------------------------------------*/
1180 template <typename Sig_>
1181 class Func : public FuncBase
1185 typedef typename Sig::Ret Ret;
1186 typedef typename Sig::Arg0 Arg0;
1187 typedef typename Sig::Arg1 Arg1;
1188 typedef typename Sig::Arg2 Arg2;
1189 typedef typename Sig::Arg3 Arg3;
1190 typedef typename Sig::IRet IRet;
1191 typedef typename Sig::IArg0 IArg0;
1192 typedef typename Sig::IArg1 IArg1;
1193 typedef typename Sig::IArg2 IArg2;
1194 typedef typename Sig::IArg3 IArg3;
1195 typedef typename Sig::Args Args;
1196 typedef typename Sig::IArgs IArgs;
1197 typedef typename Sig::ArgExprs ArgExprs;
1199 void print (ostream& os,
1200 const BaseArgExprs& args) const
1202 this->doPrint(os, args);
1205 IRet apply (const EvalContext& ctx,
1206 const IArg0& arg0 = IArg0(),
1207 const IArg1& arg1 = IArg1(),
1208 const IArg2& arg2 = IArg2(),
1209 const IArg3& arg3 = IArg3()) const
1211 return this->applyArgs(ctx, IArgs(arg0, arg1, arg2, arg3));
1213 IRet applyArgs (const EvalContext& ctx,
1214 const IArgs& args) const
1216 return this->doApply(ctx, args);
1218 ExprP<Ret> operator() (const ExprP<Arg0>& arg0 = voidP(),
1219 const ExprP<Arg1>& arg1 = voidP(),
1220 const ExprP<Arg2>& arg2 = voidP(),
1221 const ExprP<Arg3>& arg3 = voidP()) const;
1223 const ParamNames& getParamNames (void) const
1225 return this->doGetParamNames();
1229 virtual IRet doApply (const EvalContext&,
1230 const IArgs&) const = 0;
1231 virtual void doPrint (ostream& os, const BaseArgExprs& args) const
1233 os << getName() << "(";
1235 if (isTypeValid<Arg0>())
1238 if (isTypeValid<Arg1>())
1239 os << ", " << *args[1];
1241 if (isTypeValid<Arg2>())
1242 os << ", " << *args[2];
1244 if (isTypeValid<Arg3>())
1245 os << ", " << *args[3];
1250 virtual const ParamNames& doGetParamNames (void) const
1252 static ParamNames names ("a", "b", "c", "d");
1257 template <typename Sig>
1258 class Apply : public Expr<typename Sig::Ret>
1261 typedef typename Sig::Ret Ret;
1262 typedef typename Sig::Arg0 Arg0;
1263 typedef typename Sig::Arg1 Arg1;
1264 typedef typename Sig::Arg2 Arg2;
1265 typedef typename Sig::Arg3 Arg3;
1266 typedef typename Expr<Ret>::Val Val;
1267 typedef typename Expr<Ret>::IVal IVal;
1268 typedef Func<Sig> ApplyFunc;
1269 typedef typename ApplyFunc::ArgExprs ArgExprs;
1271 Apply (const ApplyFunc& func,
1272 const ExprP<Arg0>& arg0 = voidP(),
1273 const ExprP<Arg1>& arg1 = voidP(),
1274 const ExprP<Arg2>& arg2 = voidP(),
1275 const ExprP<Arg3>& arg3 = voidP())
1277 m_args (arg0, arg1, arg2, arg3) {}
1279 Apply (const ApplyFunc& func,
1280 const ArgExprs& args)
1284 void doPrintExpr (ostream& os) const
1287 args.push_back(m_args.a.get());
1288 args.push_back(m_args.b.get());
1289 args.push_back(m_args.c.get());
1290 args.push_back(m_args.d.get());
1291 m_func.print(os, args);
1294 IVal doEvaluate (const EvalContext& ctx) const
1296 return m_func.apply(ctx,
1297 m_args.a->evaluate(ctx), m_args.b->evaluate(ctx),
1298 m_args.c->evaluate(ctx), m_args.d->evaluate(ctx));
1301 void doGetUsedFuncs (FuncSet& dst) const
1303 m_func.getUsedFuncs(dst);
1304 m_args.a->getUsedFuncs(dst);
1305 m_args.b->getUsedFuncs(dst);
1306 m_args.c->getUsedFuncs(dst);
1307 m_args.d->getUsedFuncs(dst);
1310 const ApplyFunc& m_func;
1314 template<typename T>
1315 class Alternatives : public Func<Signature<T, T, T> >
1318 typedef typename Alternatives::Sig Sig;
1321 typedef typename Alternatives::IRet IRet;
1322 typedef typename Alternatives::IArgs IArgs;
1324 virtual string getName (void) const { return "alternatives"; }
1325 virtual void doPrintDefinition (std::ostream&) const {}
1326 void doGetUsedFuncs (FuncSet&) const {}
1328 virtual IRet doApply (const EvalContext&, const IArgs& args) const
1330 return unionIVal<T>(args.a, args.b);
1333 virtual void doPrint (ostream& os, const BaseArgExprs& args) const
1335 os << "{" << *args[0] << " | " << *args[1] << "}";
1339 template <typename Sig>
1340 ExprP<typename Sig::Ret> createApply (const Func<Sig>& func,
1341 const typename Func<Sig>::ArgExprs& args)
1343 return exprP(new Apply<Sig>(func, args));
1346 template <typename Sig>
1347 ExprP<typename Sig::Ret> createApply (
1348 const Func<Sig>& func,
1349 const ExprP<typename Sig::Arg0>& arg0 = voidP(),
1350 const ExprP<typename Sig::Arg1>& arg1 = voidP(),
1351 const ExprP<typename Sig::Arg2>& arg2 = voidP(),
1352 const ExprP<typename Sig::Arg3>& arg3 = voidP())
1354 return exprP(new Apply<Sig>(func, arg0, arg1, arg2, arg3));
1357 template <typename Sig>
1358 ExprP<typename Sig::Ret> Func<Sig>::operator() (const ExprP<typename Sig::Arg0>& arg0,
1359 const ExprP<typename Sig::Arg1>& arg1,
1360 const ExprP<typename Sig::Arg2>& arg2,
1361 const ExprP<typename Sig::Arg3>& arg3) const
1363 return createApply(*this, arg0, arg1, arg2, arg3);
1366 template <typename F>
1367 ExprP<typename F::Ret> app (const ExprP<typename F::Arg0>& arg0 = voidP(),
1368 const ExprP<typename F::Arg1>& arg1 = voidP(),
1369 const ExprP<typename F::Arg2>& arg2 = voidP(),
1370 const ExprP<typename F::Arg3>& arg3 = voidP())
1372 return createApply(instance<F>(), arg0, arg1, arg2, arg3);
1375 template <typename F>
1376 typename F::IRet call (const EvalContext& ctx,
1377 const typename F::IArg0& arg0 = Void(),
1378 const typename F::IArg1& arg1 = Void(),
1379 const typename F::IArg2& arg2 = Void(),
1380 const typename F::IArg3& arg3 = Void())
1382 return instance<F>().apply(ctx, arg0, arg1, arg2, arg3);
1385 template <typename T>
1386 ExprP<T> alternatives (const ExprP<T>& arg0,
1387 const ExprP<T>& arg1)
1389 return createApply<typename Alternatives<T>::Sig>(instance<Alternatives<T> >(), arg0, arg1);
1392 template <typename Sig>
1393 class ApplyVar : public Apply<Sig>
1396 typedef typename Sig::Ret Ret;
1397 typedef typename Sig::Arg0 Arg0;
1398 typedef typename Sig::Arg1 Arg1;
1399 typedef typename Sig::Arg2 Arg2;
1400 typedef typename Sig::Arg3 Arg3;
1401 typedef typename Expr<Ret>::Val Val;
1402 typedef typename Expr<Ret>::IVal IVal;
1403 typedef Func<Sig> ApplyFunc;
1404 typedef typename ApplyFunc::ArgExprs ArgExprs;
1406 ApplyVar (const ApplyFunc& func,
1407 const VariableP<Arg0>& arg0,
1408 const VariableP<Arg1>& arg1,
1409 const VariableP<Arg2>& arg2,
1410 const VariableP<Arg3>& arg3)
1411 : Apply<Sig> (func, arg0, arg1, arg2, arg3) {}
1413 IVal doEvaluate (const EvalContext& ctx) const
1415 const Variable<Arg0>& var0 = static_cast<const Variable<Arg0>&>(*this->m_args.a);
1416 const Variable<Arg1>& var1 = static_cast<const Variable<Arg1>&>(*this->m_args.b);
1417 const Variable<Arg2>& var2 = static_cast<const Variable<Arg2>&>(*this->m_args.c);
1418 const Variable<Arg3>& var3 = static_cast<const Variable<Arg3>&>(*this->m_args.d);
1419 return this->m_func.apply(ctx,
1420 ctx.env.lookup(var0), ctx.env.lookup(var1),
1421 ctx.env.lookup(var2), ctx.env.lookup(var3));
1425 template <typename Sig>
1426 ExprP<typename Sig::Ret> applyVar (const Func<Sig>& func,
1427 const VariableP<typename Sig::Arg0>& arg0,
1428 const VariableP<typename Sig::Arg1>& arg1,
1429 const VariableP<typename Sig::Arg2>& arg2,
1430 const VariableP<typename Sig::Arg3>& arg3)
1432 return exprP(new ApplyVar<Sig>(func, arg0, arg1, arg2, arg3));
1435 template <typename Sig_>
1436 class DerivedFunc : public Func<Sig_>
1439 typedef typename DerivedFunc::ArgExprs ArgExprs;
1440 typedef typename DerivedFunc::IRet IRet;
1441 typedef typename DerivedFunc::IArgs IArgs;
1442 typedef typename DerivedFunc::Ret Ret;
1443 typedef typename DerivedFunc::Arg0 Arg0;
1444 typedef typename DerivedFunc::Arg1 Arg1;
1445 typedef typename DerivedFunc::Arg2 Arg2;
1446 typedef typename DerivedFunc::Arg3 Arg3;
1447 typedef typename DerivedFunc::IArg0 IArg0;
1448 typedef typename DerivedFunc::IArg1 IArg1;
1449 typedef typename DerivedFunc::IArg2 IArg2;
1450 typedef typename DerivedFunc::IArg3 IArg3;
1453 void doPrintDefinition (ostream& os) const
1455 const ParamNames& paramNames = this->getParamNames();
1459 os << dataTypeNameOf<Ret>() << " " << this->getName()
1461 if (isTypeValid<Arg0>())
1462 os << dataTypeNameOf<Arg0>() << " " << paramNames.a;
1463 if (isTypeValid<Arg1>())
1464 os << ", " << dataTypeNameOf<Arg1>() << " " << paramNames.b;
1465 if (isTypeValid<Arg2>())
1466 os << ", " << dataTypeNameOf<Arg2>() << " " << paramNames.c;
1467 if (isTypeValid<Arg3>())
1468 os << ", " << dataTypeNameOf<Arg3>() << " " << paramNames.d;
1471 for (size_t ndx = 0; ndx < m_body.size(); ++ndx)
1473 os << "return " << *m_ret << ";\n";
1477 IRet doApply (const EvalContext& ctx,
1478 const IArgs& args) const
1481 IArgs& mutArgs = const_cast<IArgs&>(args);
1486 funEnv.bind(*m_var0, args.a);
1487 funEnv.bind(*m_var1, args.b);
1488 funEnv.bind(*m_var2, args.c);
1489 funEnv.bind(*m_var3, args.d);
1492 EvalContext funCtx(ctx.format, ctx.floatPrecision, funEnv, ctx.callDepth);
1494 for (size_t ndx = 0; ndx < m_body.size(); ++ndx)
1495 m_body[ndx]->execute(funCtx);
1497 ret = m_ret->evaluate(funCtx);
1500 // \todo [lauri] Store references instead of values in environment
1501 const_cast<IArg0&>(mutArgs.a) = funEnv.lookup(*m_var0);
1502 const_cast<IArg1&>(mutArgs.b) = funEnv.lookup(*m_var1);
1503 const_cast<IArg2&>(mutArgs.c) = funEnv.lookup(*m_var2);
1504 const_cast<IArg3&>(mutArgs.d) = funEnv.lookup(*m_var3);
1509 void doGetUsedFuncs (FuncSet& dst) const
1512 if (dst.insert(this).second)
1514 for (size_t ndx = 0; ndx < m_body.size(); ++ndx)
1515 m_body[ndx]->getUsedFuncs(dst);
1516 m_ret->getUsedFuncs(dst);
1520 virtual ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args_) const = 0;
1522 // These are transparently initialized when first needed. They cannot be
1523 // initialized in the constructor because they depend on the doExpand
1524 // method of the subclass.
1526 mutable VariableP<Arg0> m_var0;
1527 mutable VariableP<Arg1> m_var1;
1528 mutable VariableP<Arg2> m_var2;
1529 mutable VariableP<Arg3> m_var3;
1530 mutable vector<StatementP> m_body;
1531 mutable ExprP<Ret> m_ret;
1535 void initialize (void) const
1539 const ParamNames& paramNames = this->getParamNames();
1541 ExpandContext ctx (symCounter);
1544 args.a = m_var0 = variable<Arg0>(paramNames.a);
1545 args.b = m_var1 = variable<Arg1>(paramNames.b);
1546 args.c = m_var2 = variable<Arg2>(paramNames.c);
1547 args.d = m_var3 = variable<Arg3>(paramNames.d);
1549 m_ret = this->doExpand(ctx, args);
1550 m_body = ctx.getStatements();
1555 template <typename Sig>
1556 class PrimitiveFunc : public Func<Sig>
1559 typedef typename PrimitiveFunc::Ret Ret;
1560 typedef typename PrimitiveFunc::ArgExprs ArgExprs;
1563 void doPrintDefinition (ostream&) const {}
1564 void doGetUsedFuncs (FuncSet&) const {}
1567 template <typename T>
1568 class Cond : public PrimitiveFunc<Signature<T, bool, T, T> >
1571 typedef typename Cond::IArgs IArgs;
1572 typedef typename Cond::IRet IRet;
1574 string getName (void) const
1581 void doPrint (ostream& os, const BaseArgExprs& args) const
1583 os << "(" << *args[0] << " ? " << *args[1] << " : " << *args[2] << ")";
1586 IRet doApply (const EvalContext&, const IArgs& iargs)const
1590 if (iargs.a.contains(true))
1591 ret = unionIVal<T>(ret, iargs.b);
1593 if (iargs.a.contains(false))
1594 ret = unionIVal<T>(ret, iargs.c);
1600 template <typename T>
1601 class CompareOperator : public PrimitiveFunc<Signature<bool, T, T> >
1604 typedef typename CompareOperator::IArgs IArgs;
1605 typedef typename CompareOperator::IArg0 IArg0;
1606 typedef typename CompareOperator::IArg1 IArg1;
1607 typedef typename CompareOperator::IRet IRet;
1610 void doPrint (ostream& os, const BaseArgExprs& args) const
1612 os << "(" << *args[0] << getSymbol() << *args[1] << ")";
1615 Interval doApply (const EvalContext&, const IArgs& iargs) const
1617 const IArg0& arg0 = iargs.a;
1618 const IArg1& arg1 = iargs.b;
1621 if (canSucceed(arg0, arg1))
1623 if (canFail(arg0, arg1))
1629 virtual string getSymbol (void) const = 0;
1630 virtual bool canSucceed (const IArg0&, const IArg1&) const = 0;
1631 virtual bool canFail (const IArg0&, const IArg1&) const = 0;
1634 template <typename T>
1635 class LessThan : public CompareOperator<T>
1638 string getName (void) const { return "lessThan"; }
1641 string getSymbol (void) const { return "<"; }
1643 bool canSucceed (const Interval& a, const Interval& b) const
1645 return (a.lo() < b.hi());
1648 bool canFail (const Interval& a, const Interval& b) const
1650 return !(a.hi() < b.lo());
1654 template <typename T>
1655 ExprP<bool> operator< (const ExprP<T>& a, const ExprP<T>& b)
1657 return app<LessThan<T> >(a, b);
1660 template <typename T>
1661 ExprP<T> cond (const ExprP<bool>& test,
1662 const ExprP<T>& consequent,
1663 const ExprP<T>& alternative)
1665 return app<Cond<T> >(test, consequent, alternative);
1668 /*--------------------------------------------------------------------*//*!
1672 *//*--------------------------------------------------------------------*/
1674 class FloatFunc1 : public PrimitiveFunc<Signature<float, float> >
1677 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
1679 return this->applyMonotone(ctx, iargs.a);
1682 Interval applyMonotone (const EvalContext& ctx, const Interval& iarg0) const
1686 TCU_INTERVAL_APPLY_MONOTONE1(ret, arg0, iarg0, val,
1687 TCU_SET_INTERVAL(val, point,
1688 point = this->applyPoint(ctx, arg0)));
1690 ret |= innerExtrema(ctx, iarg0);
1691 ret &= (this->getCodomain() | TCU_NAN);
1693 return ctx.format.convert(ret);
1696 virtual Interval innerExtrema (const EvalContext&, const Interval&) const
1698 return Interval(); // empty interval, i.e. no extrema
1701 virtual Interval applyPoint (const EvalContext& ctx, double arg0) const
1703 const double exact = this->applyExact(arg0);
1704 const double prec = this->precision(ctx, exact, arg0);
1706 return exact + Interval(-prec, prec);
1709 virtual double applyExact (double) const
1711 TCU_THROW(InternalError, "Cannot apply");
1714 virtual Interval getCodomain (void) const
1716 return Interval::unbounded(true);
1719 virtual double precision (const EvalContext& ctx, double, double) const = 0;
1722 class CFloatFunc1 : public FloatFunc1
1725 CFloatFunc1 (const string& name, DoubleFunc1& func)
1726 : m_name(name), m_func(func) {}
1728 string getName (void) const { return m_name; }
1731 double applyExact (double x) const { return m_func(x); }
1733 const string m_name;
1734 DoubleFunc1& m_func;
1737 class FloatFunc2 : public PrimitiveFunc<Signature<float, float, float> >
1740 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
1742 return this->applyMonotone(ctx, iargs.a, iargs.b);
1745 Interval applyMonotone (const EvalContext& ctx,
1747 const Interval& yi) const
1751 TCU_INTERVAL_APPLY_MONOTONE2(reti, x, xi, y, yi, ret,
1752 TCU_SET_INTERVAL(ret, point,
1753 point = this->applyPoint(ctx, x, y)));
1754 reti |= innerExtrema(ctx, xi, yi);
1755 reti &= (this->getCodomain() | TCU_NAN);
1757 return ctx.format.convert(reti);
1760 virtual Interval innerExtrema (const EvalContext&,
1762 const Interval&) const
1764 return Interval(); // empty interval, i.e. no extrema
1767 virtual Interval applyPoint (const EvalContext& ctx,
1771 const double exact = this->applyExact(x, y);
1772 const double prec = this->precision(ctx, exact, x, y);
1774 return exact + Interval(-prec, prec);
1777 virtual double applyExact (double, double) const
1779 TCU_THROW(InternalError, "Cannot apply");
1782 virtual Interval getCodomain (void) const
1784 return Interval::unbounded(true);
1787 virtual double precision (const EvalContext& ctx,
1790 double y) const = 0;
1793 class CFloatFunc2 : public FloatFunc2
1796 CFloatFunc2 (const string& name,
1803 string getName (void) const { return m_name; }
1806 double applyExact (double x, double y) const { return m_func(x, y); }
1808 const string m_name;
1809 DoubleFunc2& m_func;
1812 class InfixOperator : public FloatFunc2
1815 virtual string getSymbol (void) const = 0;
1817 void doPrint (ostream& os, const BaseArgExprs& args) const
1819 os << "(" << *args[0] << " " << getSymbol() << " " << *args[1] << ")";
1822 Interval applyPoint (const EvalContext& ctx,
1826 const double exact = this->applyExact(x, y);
1828 // Allow either representable number on both sides of the exact value,
1829 // but require exactly representable values to be preserved.
1830 return ctx.format.roundOut(exact, !deIsInf(x) && !deIsInf(y));
1833 double precision (const EvalContext&, double, double, double) const
1839 class FloatFunc3 : public PrimitiveFunc<Signature<float, float, float, float> >
1842 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
1844 return this->applyMonotone(ctx, iargs.a, iargs.b, iargs.c);
1847 Interval applyMonotone (const EvalContext& ctx,
1850 const Interval& zi) const
1853 TCU_INTERVAL_APPLY_MONOTONE3(reti, x, xi, y, yi, z, zi, ret,
1854 TCU_SET_INTERVAL(ret, point,
1855 point = this->applyPoint(ctx, x, y, z)));
1856 return ctx.format.convert(reti);
1859 virtual Interval applyPoint (const EvalContext& ctx,
1864 const double exact = this->applyExact(x, y, z);
1865 const double prec = this->precision(ctx, exact, x, y, z);
1866 return exact + Interval(-prec, prec);
1869 virtual double applyExact (double, double, double) const
1871 TCU_THROW(InternalError, "Cannot apply");
1874 virtual double precision (const EvalContext& ctx,
1878 double z) const = 0;
1881 // We define syntactic sugar functions for expression constructors. Since
1882 // these have the same names as ordinary mathematical operations (sin, log
1883 // etc.), it's better to give them a dedicated namespace.
1887 using namespace tcu;
1889 class Add : public InfixOperator
1892 string getName (void) const { return "add"; }
1893 string getSymbol (void) const { return "+"; }
1895 Interval doApply (const EvalContext& ctx,
1896 const IArgs& iargs) const
1898 // Fast-path for common case
1899 if (iargs.a.isOrdinary() && iargs.b.isOrdinary())
1902 TCU_SET_INTERVAL_BOUNDS(ret, sum,
1903 sum = iargs.a.lo() + iargs.b.lo(),
1904 sum = iargs.a.hi() + iargs.b.hi());
1905 return ctx.format.convert(ctx.format.roundOut(ret, true));
1907 return this->applyMonotone(ctx, iargs.a, iargs.b);
1911 double applyExact (double x, double y) const { return x + y; }
1914 class Mul : public InfixOperator
1917 string getName (void) const { return "mul"; }
1918 string getSymbol (void) const { return "*"; }
1920 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
1922 Interval a = iargs.a;
1923 Interval b = iargs.b;
1925 // Fast-path for common case
1926 if (a.isOrdinary() && b.isOrdinary())
1934 if (a.lo() >= 0 && b.lo() >= 0)
1936 TCU_SET_INTERVAL_BOUNDS(ret, prod,
1937 prod = iargs.a.lo() * iargs.b.lo(),
1938 prod = iargs.a.hi() * iargs.b.hi());
1939 return ctx.format.convert(ctx.format.roundOut(ret, true));
1941 if (a.lo() >= 0 && b.hi() <= 0)
1943 TCU_SET_INTERVAL_BOUNDS(ret, prod,
1944 prod = iargs.a.hi() * iargs.b.lo(),
1945 prod = iargs.a.lo() * iargs.b.hi());
1946 return ctx.format.convert(ctx.format.roundOut(ret, true));
1949 return this->applyMonotone(ctx, iargs.a, iargs.b);
1953 double applyExact (double x, double y) const { return x * y; }
1955 Interval innerExtrema(const EvalContext&, const Interval& xi, const Interval& yi) const
1957 if (((xi.contains(-TCU_INFINITY) || xi.contains(TCU_INFINITY)) && yi.contains(0.0)) ||
1958 ((yi.contains(-TCU_INFINITY) || yi.contains(TCU_INFINITY)) && xi.contains(0.0)))
1959 return Interval(TCU_NAN);
1965 class Sub : public InfixOperator
1968 string getName (void) const { return "sub"; }
1969 string getSymbol (void) const { return "-"; }
1971 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
1973 // Fast-path for common case
1974 if (iargs.a.isOrdinary() && iargs.b.isOrdinary())
1978 TCU_SET_INTERVAL_BOUNDS(ret, diff,
1979 diff = iargs.a.lo() - iargs.b.hi(),
1980 diff = iargs.a.hi() - iargs.b.lo());
1981 return ctx.format.convert(ctx.format.roundOut(ret, true));
1986 return this->applyMonotone(ctx, iargs.a, iargs.b);
1991 double applyExact (double x, double y) const { return x - y; }
1994 class Negate : public FloatFunc1
1997 string getName (void) const { return "_negate"; }
1998 void doPrint (ostream& os, const BaseArgExprs& args) const { os << "-" << *args[0]; }
2001 double precision (const EvalContext&, double, double) const { return 0.0; }
2002 double applyExact (double x) const { return -x; }
2005 class Div : public InfixOperator
2008 string getName (void) const { return "div"; }
2011 string getSymbol (void) const { return "/"; }
2013 Interval innerExtrema (const EvalContext&,
2014 const Interval& nom,
2015 const Interval& den) const
2019 if (den.contains(0.0))
2021 if (nom.contains(0.0))
2024 if (nom.lo() < 0.0 || nom.hi() > 0.0)
2025 ret |= Interval::unbounded();
2031 double applyExact (double x, double y) const { return x / y; }
2033 Interval applyPoint (const EvalContext& ctx, double x, double y) const
2035 Interval ret = FloatFunc2::applyPoint(ctx, x, y);
2037 if (!deIsInf(x) && !deIsInf(y) && y != 0.0)
2039 const Interval dst = ctx.format.convert(ret);
2040 if (dst.contains(-TCU_INFINITY)) ret |= -ctx.format.getMaxValue();
2041 if (dst.contains(+TCU_INFINITY)) ret |= +ctx.format.getMaxValue();
2047 double precision (const EvalContext& ctx, double ret, double, double den) const
2049 const FloatFormat& fmt = ctx.format;
2051 // \todo [2014-03-05 lauri] Check that the limits in GLSL 3.10 are actually correct.
2052 // For now, we assume that division's precision is 2.5 ULP when the value is within
2053 // [2^MINEXP, 2^MAXEXP-1]
2056 return 0.0; // Result must be exactly inf
2057 else if (de::inBounds(deAbs(den),
2058 deLdExp(1.0, fmt.getMinExp()),
2059 deLdExp(1.0, fmt.getMaxExp() - 1)))
2060 return fmt.ulp(ret, 2.5);
2062 return TCU_INFINITY; // Can be any number, but must be a number.
2066 class InverseSqrt : public FloatFunc1
2069 string getName (void) const { return "inversesqrt"; }
2072 double applyExact (double x) const { return 1.0 / deSqrt(x); }
2074 double precision (const EvalContext& ctx, double ret, double x) const
2076 return x <= 0 ? TCU_NAN : ctx.format.ulp(ret, 2.0);
2079 Interval getCodomain (void) const
2081 return Interval(0.0, TCU_INFINITY);
2085 class ExpFunc : public CFloatFunc1
2088 ExpFunc (const string& name, DoubleFunc1& func)
2089 : CFloatFunc1(name, func) {}
2091 double precision (const EvalContext& ctx, double ret, double x) const
2093 switch (ctx.floatPrecision)
2095 case glu::PRECISION_HIGHP:
2096 return ctx.format.ulp(ret, 3.0 + 2.0 * deAbs(x));
2097 case glu::PRECISION_MEDIUMP:
2098 return ctx.format.ulp(ret, 2.0 + 2.0 * deAbs(x));
2099 case glu::PRECISION_LOWP:
2100 return ctx.format.ulp(ret, 2.0);
2102 DE_FATAL("Impossible");
2107 Interval getCodomain (void) const
2109 return Interval(0.0, TCU_INFINITY);
2113 class Exp2 : public ExpFunc { public: Exp2 (void) : ExpFunc("exp2", deExp2) {} };
2114 class Exp : public ExpFunc { public: Exp (void) : ExpFunc("exp", deExp) {} };
2116 ExprP<float> exp2 (const ExprP<float>& x) { return app<Exp2>(x); }
2117 ExprP<float> exp (const ExprP<float>& x) { return app<Exp>(x); }
2119 class LogFunc : public CFloatFunc1
2122 LogFunc (const string& name, DoubleFunc1& func)
2123 : CFloatFunc1(name, func) {}
2126 double precision (const EvalContext& ctx, double ret, double x) const
2131 switch (ctx.floatPrecision)
2133 case glu::PRECISION_HIGHP:
2134 return (0.5 <= x && x <= 2.0) ? deLdExp(1.0, -21) : ctx.format.ulp(ret, 3.0);
2135 case glu::PRECISION_MEDIUMP:
2136 return (0.5 <= x && x <= 2.0) ? deLdExp(1.0, -7) : ctx.format.ulp(ret, 2.0);
2137 case glu::PRECISION_LOWP:
2138 return ctx.format.ulp(ret, 2.0);
2140 DE_FATAL("Impossible");
2147 class Log2 : public LogFunc { public: Log2 (void) : LogFunc("log2", deLog2) {} };
2148 class Log : public LogFunc { public: Log (void) : LogFunc("log", deLog) {} };
2150 ExprP<float> log2 (const ExprP<float>& x) { return app<Log2>(x); }
2151 ExprP<float> log (const ExprP<float>& x) { return app<Log>(x); }
2153 #define DEFINE_CONSTRUCTOR1(CLASS, TRET, NAME, T0) \
2154 ExprP<TRET> NAME (const ExprP<T0>& arg0) { return app<CLASS>(arg0); }
2156 #define DEFINE_DERIVED1(CLASS, TRET, NAME, T0, ARG0, EXPANSION) \
2157 class CLASS : public DerivedFunc<Signature<TRET, T0> > /* NOLINT(CLASS) */ \
2160 string getName (void) const { return #NAME; } \
2163 ExprP<TRET> doExpand (ExpandContext&, \
2164 const CLASS::ArgExprs& args_) const \
2166 const ExprP<float>& (ARG0) = args_.a; \
2170 DEFINE_CONSTRUCTOR1(CLASS, TRET, NAME, T0)
2172 #define DEFINE_DERIVED_FLOAT1(CLASS, NAME, ARG0, EXPANSION) \
2173 DEFINE_DERIVED1(CLASS, float, NAME, float, ARG0, EXPANSION)
2175 #define DEFINE_CONSTRUCTOR2(CLASS, TRET, NAME, T0, T1) \
2176 ExprP<TRET> NAME (const ExprP<T0>& arg0, const ExprP<T1>& arg1) \
2178 return app<CLASS>(arg0, arg1); \
2181 #define DEFINE_DERIVED2(CLASS, TRET, NAME, T0, Arg0, T1, Arg1, EXPANSION) \
2182 class CLASS : public DerivedFunc<Signature<TRET, T0, T1> > /* NOLINT(CLASS) */ \
2185 string getName (void) const { return #NAME; } \
2188 ExprP<TRET> doExpand (ExpandContext&, const ArgExprs& args_) const \
2190 const ExprP<T0>& (Arg0) = args_.a; \
2191 const ExprP<T1>& (Arg1) = args_.b; \
2195 DEFINE_CONSTRUCTOR2(CLASS, TRET, NAME, T0, T1)
2197 #define DEFINE_DERIVED_FLOAT2(CLASS, NAME, Arg0, Arg1, EXPANSION) \
2198 DEFINE_DERIVED2(CLASS, float, NAME, float, Arg0, float, Arg1, EXPANSION)
2200 #define DEFINE_CONSTRUCTOR3(CLASS, TRET, NAME, T0, T1, T2) \
2201 ExprP<TRET> NAME (const ExprP<T0>& arg0, const ExprP<T1>& arg1, const ExprP<T2>& arg2) \
2203 return app<CLASS>(arg0, arg1, arg2); \
2206 #define DEFINE_DERIVED3(CLASS, TRET, NAME, T0, ARG0, T1, ARG1, T2, ARG2, EXPANSION) \
2207 class CLASS : public DerivedFunc<Signature<TRET, T0, T1, T2> > /* NOLINT(CLASS) */ \
2210 string getName (void) const { return #NAME; } \
2213 ExprP<TRET> doExpand (ExpandContext&, const ArgExprs& args_) const \
2215 const ExprP<T0>& (ARG0) = args_.a; \
2216 const ExprP<T1>& (ARG1) = args_.b; \
2217 const ExprP<T2>& (ARG2) = args_.c; \
2221 DEFINE_CONSTRUCTOR3(CLASS, TRET, NAME, T0, T1, T2)
2223 #define DEFINE_DERIVED_FLOAT3(CLASS, NAME, ARG0, ARG1, ARG2, EXPANSION) \
2224 DEFINE_DERIVED3(CLASS, float, NAME, float, ARG0, float, ARG1, float, ARG2, EXPANSION)
2226 #define DEFINE_CONSTRUCTOR4(CLASS, TRET, NAME, T0, T1, T2, T3) \
2227 ExprP<TRET> NAME (const ExprP<T0>& arg0, const ExprP<T1>& arg1, \
2228 const ExprP<T2>& arg2, const ExprP<T3>& arg3) \
2230 return app<CLASS>(arg0, arg1, arg2, arg3); \
2233 DEFINE_DERIVED_FLOAT1(Sqrt, sqrt, x, constant(1.0f) / app<InverseSqrt>(x));
2234 DEFINE_DERIVED_FLOAT2(Pow, pow, x, y, exp2(y * log2(x)));
2235 DEFINE_DERIVED_FLOAT1(Radians, radians, d, (constant(DE_PI) / constant(180.0f)) * d);
2236 DEFINE_DERIVED_FLOAT1(Degrees, degrees, r, (constant(180.0f) / constant(DE_PI)) * r);
2238 class TrigFunc : public CFloatFunc1
2241 TrigFunc (const string& name,
2243 const Interval& loEx,
2244 const Interval& hiEx)
2245 : CFloatFunc1 (name, func)
2246 , m_loExtremum (loEx)
2247 , m_hiExtremum (hiEx) {}
2250 Interval innerExtrema (const EvalContext&, const Interval& angle) const
2252 const double lo = angle.lo();
2253 const double hi = angle.hi();
2254 const int loSlope = doGetSlope(lo);
2255 const int hiSlope = doGetSlope(hi);
2257 // Detect the high and low values the function can take between the
2258 // interval endpoints.
2259 if (angle.length() >= 2.0 * DE_PI_DOUBLE)
2261 // The interval is longer than a full cycle, so it must get all possible values.
2262 return m_hiExtremum | m_loExtremum;
2264 else if (loSlope == 1 && hiSlope == -1)
2266 // The slope can change from positive to negative only at the maximum value.
2267 return m_hiExtremum;
2269 else if (loSlope == -1 && hiSlope == 1)
2271 // The slope can change from negative to positive only at the maximum value.
2272 return m_loExtremum;
2274 else if (loSlope == hiSlope &&
2275 deIntSign(applyExact(hi) - applyExact(lo)) * loSlope == -1)
2277 // The slope has changed twice between the endpoints, so both extrema are included.
2278 return m_hiExtremum | m_loExtremum;
2284 Interval getCodomain (void) const
2286 // Ensure that result is always within [-1, 1], or NaN (for +-inf)
2287 return Interval(-1.0, 1.0) | TCU_NAN;
2290 double precision (const EvalContext& ctx, double ret, double arg) const
2292 if (ctx.floatPrecision == glu::PRECISION_HIGHP)
2294 // Use precision from OpenCL fast relaxed math
2295 if (-DE_PI_DOUBLE <= arg && arg <= DE_PI_DOUBLE)
2297 return deLdExp(1.0, -11);
2301 // "larger otherwise", let's pick |x| * 2^-12 , which is slightly over
2302 // 2^-11 at x == pi.
2303 return deLdExp(deAbs(arg), -12);
2306 else if (ctx.floatPrecision == glu::PRECISION_MEDIUMP)
2308 if (-DE_PI_DOUBLE <= arg && arg <= DE_PI_DOUBLE)
2310 // from OpenCL half-float extension specification
2311 return ctx.format.ulp(ret, 2.0);
2315 // |x| * 2^-10, slightly larger than 2 ULP at x == pi
2316 return deLdExp(deAbs(arg), -10);
2321 DE_ASSERT(ctx.floatPrecision == glu::PRECISION_LOWP);
2323 // from OpenCL half-float extension specification
2324 return ctx.format.ulp(ret, 2.0);
2328 virtual int doGetSlope (double angle) const = 0;
2330 Interval m_loExtremum;
2331 Interval m_hiExtremum;
2334 class Sin : public TrigFunc
2337 Sin (void) : TrigFunc("sin", deSin, -1.0, 1.0) {}
2340 int doGetSlope (double angle) const { return deIntSign(deCos(angle)); }
2343 ExprP<float> sin (const ExprP<float>& x) { return app<Sin>(x); }
2345 class Cos : public TrigFunc
2348 Cos (void) : TrigFunc("cos", deCos, -1.0, 1.0) {}
2351 int doGetSlope (double angle) const { return -deIntSign(deSin(angle)); }
2354 ExprP<float> cos (const ExprP<float>& x) { return app<Cos>(x); }
2356 DEFINE_DERIVED_FLOAT1(Tan, tan, x, sin(x) * (constant(1.0f) / cos(x)));
2358 class ASin : public CFloatFunc1
2361 ASin (void) : CFloatFunc1("asin", deAsin) {}
2364 double precision (const EvalContext& ctx, double, double x) const
2366 if (!de::inBounds(x, -1.0, 1.0))
2369 if (ctx.floatPrecision == glu::PRECISION_HIGHP)
2371 // Absolute error of 2^-11
2372 return deLdExp(1.0, -11);
2376 // Absolute error of 2^-8
2377 return deLdExp(1.0, -8);
2383 class ArcTrigFunc : public CFloatFunc1
2386 ArcTrigFunc (const string& name,
2388 double precisionULPs,
2389 const Interval& domain,
2390 const Interval& codomain)
2391 : CFloatFunc1 (name, func)
2392 , m_precision (precisionULPs)
2394 , m_codomain (codomain) {}
2397 double precision (const EvalContext& ctx, double ret, double x) const
2399 if (!m_domain.contains(x))
2402 if (ctx.floatPrecision == glu::PRECISION_HIGHP)
2404 // Use OpenCL's fast relaxed math precision
2405 return ctx.format.ulp(ret, m_precision);
2409 // Use OpenCL half-float spec
2410 return ctx.format.ulp(ret, 2.0);
2414 // We could implement getCodomain with m_codomain, but choose not to,
2415 // because it seems too strict with trascendental constants like pi.
2417 const double m_precision;
2418 const Interval m_domain;
2419 const Interval m_codomain;
2422 class ACos : public ArcTrigFunc
2425 ACos (void) : ArcTrigFunc("acos", deAcos, 4096.0,
2426 Interval(-1.0, 1.0),
2427 Interval(0.0, DE_PI_DOUBLE)) {}
2430 class ATan : public ArcTrigFunc
2433 ATan (void) : ArcTrigFunc("atan", deAtanOver, 4096.0,
2434 Interval::unbounded(),
2435 Interval(-DE_PI_DOUBLE * 0.5, DE_PI_DOUBLE * 0.5)) {}
2438 class ATan2 : public CFloatFunc2
2441 ATan2 (void) : CFloatFunc2 ("atan", deAtan2) {}
2444 Interval innerExtrema (const EvalContext& ctx,
2446 const Interval& xi) const
2450 if (yi.contains(0.0))
2452 if (xi.contains(0.0))
2454 if (xi.intersects(Interval(-TCU_INFINITY, 0.0)))
2455 ret |= Interval(-DE_PI_DOUBLE, DE_PI_DOUBLE);
2458 if (ctx.format.hasInf() != YES && (!yi.isFinite() || !xi.isFinite()))
2460 // Infinities may not be supported, allow anything, including NaN
2467 double precision (const EvalContext& ctx, double ret, double, double) const
2469 if (ctx.floatPrecision == glu::PRECISION_HIGHP)
2470 return ctx.format.ulp(ret, 4096.0);
2472 return ctx.format.ulp(ret, 2.0);
2475 // Codomain could be [-pi, pi], but that would probably be too strict.
2478 DEFINE_DERIVED_FLOAT1(Sinh, sinh, x, (exp(x) - exp(-x)) / constant(2.0f));
2479 DEFINE_DERIVED_FLOAT1(Cosh, cosh, x, (exp(x) + exp(-x)) / constant(2.0f));
2480 DEFINE_DERIVED_FLOAT1(Tanh, tanh, x, sinh(x) / cosh(x));
2482 // These are not defined as derived forms in the GLSL ES spec, but
2483 // that gives us a reasonable precision.
2484 DEFINE_DERIVED_FLOAT1(ASinh, asinh, x, log(x + sqrt(x * x + constant(1.0f))));
2485 DEFINE_DERIVED_FLOAT1(ACosh, acosh, x, log(x + sqrt(alternatives((x + constant(1.0f)) * (x - constant(1.0f)),
2486 (x*x - constant(1.0f))))));
2487 DEFINE_DERIVED_FLOAT1(ATanh, atanh, x, constant(0.5f) * log((constant(1.0f) + x) /
2488 (constant(1.0f) - x)));
2490 template <typename T>
2491 class GetComponent : public PrimitiveFunc<Signature<typename T::Element, T, int> >
2494 typedef typename GetComponent::IRet IRet;
2496 string getName (void) const { return "_getComponent"; }
2498 void print (ostream& os,
2499 const BaseArgExprs& args) const
2501 os << *args[0] << "[" << *args[1] << "]";
2505 IRet doApply (const EvalContext&,
2506 const typename GetComponent::IArgs& iargs) const
2510 for (int compNdx = 0; compNdx < T::SIZE; ++compNdx)
2512 if (iargs.b.contains(compNdx))
2513 ret = unionIVal<typename T::Element>(ret, iargs.a[compNdx]);
2521 template <typename T>
2522 ExprP<typename T::Element> getComponent (const ExprP<T>& container, int ndx)
2524 DE_ASSERT(0 <= ndx && ndx < T::SIZE);
2525 return app<GetComponent<T> >(container, constant(ndx));
2528 template <typename T> string vecNamePrefix (void);
2529 template <> string vecNamePrefix<float> (void) { return ""; }
2530 template <> string vecNamePrefix<int> (void) { return "i"; }
2531 template <> string vecNamePrefix<bool> (void) { return "b"; }
2533 template <typename T, int Size>
2534 string vecName (void) { return vecNamePrefix<T>() + "vec" + de::toString(Size); }
2536 template <typename T, int Size> class GenVec;
2538 template <typename T>
2539 class GenVec<T, 1> : public DerivedFunc<Signature<T, T> >
2542 typedef typename GenVec<T, 1>::ArgExprs ArgExprs;
2544 string getName (void) const
2546 return "_" + vecName<T, 1>();
2551 ExprP<T> doExpand (ExpandContext&, const ArgExprs& args) const { return args.a; }
2554 template <typename T>
2555 class GenVec<T, 2> : public PrimitiveFunc<Signature<Vector<T, 2>, T, T> >
2558 typedef typename GenVec::IRet IRet;
2559 typedef typename GenVec::IArgs IArgs;
2561 string getName (void) const
2563 return vecName<T, 2>();
2567 IRet doApply (const EvalContext&, const IArgs& iargs) const
2569 return IRet(iargs.a, iargs.b);
2573 template <typename T>
2574 class GenVec<T, 3> : public PrimitiveFunc<Signature<Vector<T, 3>, T, T, T> >
2577 typedef typename GenVec::IRet IRet;
2578 typedef typename GenVec::IArgs IArgs;
2580 string getName (void) const
2582 return vecName<T, 3>();
2586 IRet doApply (const EvalContext&, const IArgs& iargs) const
2588 return IRet(iargs.a, iargs.b, iargs.c);
2592 template <typename T>
2593 class GenVec<T, 4> : public PrimitiveFunc<Signature<Vector<T, 4>, T, T, T, T> >
2596 typedef typename GenVec::IRet IRet;
2597 typedef typename GenVec::IArgs IArgs;
2599 string getName (void) const { return vecName<T, 4>(); }
2602 IRet doApply (const EvalContext&, const IArgs& iargs) const
2604 return IRet(iargs.a, iargs.b, iargs.c, iargs.d);
2610 template <typename T, int Rows, int Columns>
2613 template <typename T, int Rows>
2614 class GenMat<T, Rows, 2> : public PrimitiveFunc<
2615 Signature<Matrix<T, Rows, 2>, Vector<T, Rows>, Vector<T, Rows> > >
2618 typedef typename GenMat::Ret Ret;
2619 typedef typename GenMat::IRet IRet;
2620 typedef typename GenMat::IArgs IArgs;
2622 string getName (void) const
2624 return dataTypeNameOf<Ret>();
2629 IRet doApply (const EvalContext&, const IArgs& iargs) const
2638 template <typename T, int Rows>
2639 class GenMat<T, Rows, 3> : public PrimitiveFunc<
2640 Signature<Matrix<T, Rows, 3>, Vector<T, Rows>, Vector<T, Rows>, Vector<T, Rows> > >
2643 typedef typename GenMat::Ret Ret;
2644 typedef typename GenMat::IRet IRet;
2645 typedef typename GenMat::IArgs IArgs;
2647 string getName (void) const
2649 return dataTypeNameOf<Ret>();
2654 IRet doApply (const EvalContext&, const IArgs& iargs) const
2664 template <typename T, int Rows>
2665 class GenMat<T, Rows, 4> : public PrimitiveFunc<
2666 Signature<Matrix<T, Rows, 4>,
2667 Vector<T, Rows>, Vector<T, Rows>, Vector<T, Rows>, Vector<T, Rows> > >
2670 typedef typename GenMat::Ret Ret;
2671 typedef typename GenMat::IRet IRet;
2672 typedef typename GenMat::IArgs IArgs;
2674 string getName (void) const
2676 return dataTypeNameOf<Ret>();
2680 IRet doApply (const EvalContext&, const IArgs& iargs) const
2691 template <typename T, int Rows>
2692 ExprP<Matrix<T, Rows, 2> > mat2 (const ExprP<Vector<T, Rows> >& arg0,
2693 const ExprP<Vector<T, Rows> >& arg1)
2695 return app<GenMat<T, Rows, 2> >(arg0, arg1);
2698 template <typename T, int Rows>
2699 ExprP<Matrix<T, Rows, 3> > mat3 (const ExprP<Vector<T, Rows> >& arg0,
2700 const ExprP<Vector<T, Rows> >& arg1,
2701 const ExprP<Vector<T, Rows> >& arg2)
2703 return app<GenMat<T, Rows, 3> >(arg0, arg1, arg2);
2706 template <typename T, int Rows>
2707 ExprP<Matrix<T, Rows, 4> > mat4 (const ExprP<Vector<T, Rows> >& arg0,
2708 const ExprP<Vector<T, Rows> >& arg1,
2709 const ExprP<Vector<T, Rows> >& arg2,
2710 const ExprP<Vector<T, Rows> >& arg3)
2712 return app<GenMat<T, Rows, 4> >(arg0, arg1, arg2, arg3);
2716 template <int Rows, int Cols>
2717 class MatNeg : public PrimitiveFunc<Signature<Matrix<float, Rows, Cols>,
2718 Matrix<float, Rows, Cols> > >
2721 typedef typename MatNeg::IRet IRet;
2722 typedef typename MatNeg::IArgs IArgs;
2724 string getName (void) const
2730 void doPrint (ostream& os, const BaseArgExprs& args) const
2732 os << "-(" << *args[0] << ")";
2735 IRet doApply (const EvalContext&, const IArgs& iargs) const
2739 for (int col = 0; col < Cols; ++col)
2741 for (int row = 0; row < Rows; ++row)
2742 ret[col][row] = -iargs.a[col][row];
2749 template <typename T, typename Sig>
2750 class CompWiseFunc : public PrimitiveFunc<Sig>
2753 typedef Func<Signature<T, T, T> > ScalarFunc;
2755 string getName (void) const
2757 return doGetScalarFunc().getName();
2760 void doPrint (ostream& os,
2761 const BaseArgExprs& args) const
2763 doGetScalarFunc().print(os, args);
2767 const ScalarFunc& doGetScalarFunc (void) const = 0;
2770 template <int Rows, int Cols>
2771 class CompMatFuncBase : public CompWiseFunc<float, Signature<Matrix<float, Rows, Cols>,
2772 Matrix<float, Rows, Cols>,
2773 Matrix<float, Rows, Cols> > >
2776 typedef typename CompMatFuncBase::IRet IRet;
2777 typedef typename CompMatFuncBase::IArgs IArgs;
2781 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
2785 for (int col = 0; col < Cols; ++col)
2787 for (int row = 0; row < Rows; ++row)
2788 ret[col][row] = this->doGetScalarFunc().apply(ctx,
2797 template <typename F, int Rows, int Cols>
2798 class CompMatFunc : public CompMatFuncBase<Rows, Cols>
2801 const typename CompMatFunc::ScalarFunc& doGetScalarFunc (void) const
2803 return instance<F>();
2807 class ScalarMatrixCompMult : public Mul
2810 string getName (void) const
2812 return "matrixCompMult";
2815 void doPrint (ostream& os, const BaseArgExprs& args) const
2817 Func<Sig>::doPrint(os, args);
2821 template <int Rows, int Cols>
2822 class MatrixCompMult : public CompMatFunc<ScalarMatrixCompMult, Rows, Cols>
2826 template <int Rows, int Cols>
2827 class ScalarMatFuncBase : public CompWiseFunc<float, Signature<Matrix<float, Rows, Cols>,
2828 Matrix<float, Rows, Cols>,
2832 typedef typename ScalarMatFuncBase::IRet IRet;
2833 typedef typename ScalarMatFuncBase::IArgs IArgs;
2837 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
2841 for (int col = 0; col < Cols; ++col)
2843 for (int row = 0; row < Rows; ++row)
2844 ret[col][row] = this->doGetScalarFunc().apply(ctx, iargs.a[col][row], iargs.b);
2851 template <typename F, int Rows, int Cols>
2852 class ScalarMatFunc : public ScalarMatFuncBase<Rows, Cols>
2855 const typename ScalarMatFunc::ScalarFunc& doGetScalarFunc (void) const
2857 return instance<F>();
2861 template<typename T, int Size> struct GenXType;
2863 template<typename T>
2864 struct GenXType<T, 1>
2866 static ExprP<T> genXType (const ExprP<T>& x) { return x; }
2869 template<typename T>
2870 struct GenXType<T, 2>
2872 static ExprP<Vector<T, 2> > genXType (const ExprP<T>& x)
2874 return app<GenVec<T, 2> >(x, x);
2878 template<typename T>
2879 struct GenXType<T, 3>
2881 static ExprP<Vector<T, 3> > genXType (const ExprP<T>& x)
2883 return app<GenVec<T, 3> >(x, x, x);
2887 template<typename T>
2888 struct GenXType<T, 4>
2890 static ExprP<Vector<T, 4> > genXType (const ExprP<T>& x)
2892 return app<GenVec<T, 4> >(x, x, x, x);
2896 //! Returns an expression of vector of size `Size` (or scalar if Size == 1),
2897 //! with each element initialized with the expression `x`.
2898 template<typename T, int Size>
2899 ExprP<typename ContainerOf<T, Size>::Container> genXType (const ExprP<T>& x)
2901 return GenXType<T, Size>::genXType(x);
2904 typedef GenVec<float, 2> FloatVec2;
2905 DEFINE_CONSTRUCTOR2(FloatVec2, Vec2, vec2, float, float)
2907 typedef GenVec<float, 3> FloatVec3;
2908 DEFINE_CONSTRUCTOR3(FloatVec3, Vec3, vec3, float, float, float)
2910 typedef GenVec<float, 4> FloatVec4;
2911 DEFINE_CONSTRUCTOR4(FloatVec4, Vec4, vec4, float, float, float, float)
2914 class Dot : public DerivedFunc<Signature<float, Vector<float, Size>, Vector<float, Size> > >
2917 typedef typename Dot::ArgExprs ArgExprs;
2919 string getName (void) const
2925 ExprP<float> doExpand (ExpandContext&, const ArgExprs& args) const
2927 ExprP<float> val = args.a[0] * args.b[0];
2929 for (int ndx = 1; ndx < Size; ++ndx)
2930 val = val + args.a[ndx] * args.b[ndx];
2937 class Dot<1> : public DerivedFunc<Signature<float, float, float> >
2940 string getName (void) const
2945 ExprP<float> doExpand (ExpandContext&, const ArgExprs& args) const
2947 return args.a * args.b;
2952 ExprP<float> dot (const ExprP<Vector<float, Size> >& x, const ExprP<Vector<float, Size> >& y)
2954 return app<Dot<Size> >(x, y);
2957 ExprP<float> dot (const ExprP<float>& x, const ExprP<float>& y)
2959 return app<Dot<1> >(x, y);
2963 class Length : public DerivedFunc<
2964 Signature<float, typename ContainerOf<float, Size>::Container> >
2967 typedef typename Length::ArgExprs ArgExprs;
2969 string getName (void) const
2975 ExprP<float> doExpand (ExpandContext&, const ArgExprs& args) const
2977 return sqrt(dot(args.a, args.a));
2982 ExprP<float> length (const ExprP<typename ContainerOf<float, Size>::Container>& x)
2984 return app<Length<Size> >(x);
2988 class Distance : public DerivedFunc<
2990 typename ContainerOf<float, Size>::Container,
2991 typename ContainerOf<float, Size>::Container> >
2994 typedef typename Distance::Ret Ret;
2995 typedef typename Distance::ArgExprs ArgExprs;
2997 string getName (void) const
3003 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3005 return length<Size>(args.a - args.b);
3011 class Cross : public DerivedFunc<Signature<Vec3, Vec3, Vec3> >
3014 string getName (void) const
3020 ExprP<Vec3> doExpand (ExpandContext&, const ArgExprs& x) const
3022 return vec3(x.a[1] * x.b[2] - x.b[1] * x.a[2],
3023 x.a[2] * x.b[0] - x.b[2] * x.a[0],
3024 x.a[0] * x.b[1] - x.b[0] * x.a[1]);
3028 DEFINE_CONSTRUCTOR2(Cross, Vec3, cross, Vec3, Vec3)
3031 class Normalize : public DerivedFunc<
3032 Signature<typename ContainerOf<float, Size>::Container,
3033 typename ContainerOf<float, Size>::Container> >
3036 typedef typename Normalize::Ret Ret;
3037 typedef typename Normalize::ArgExprs ArgExprs;
3039 string getName (void) const
3045 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3047 return args.a / length<Size>(args.a);
3052 class FaceForward : public DerivedFunc<
3053 Signature<typename ContainerOf<float, Size>::Container,
3054 typename ContainerOf<float, Size>::Container,
3055 typename ContainerOf<float, Size>::Container,
3056 typename ContainerOf<float, Size>::Container> >
3059 typedef typename FaceForward::Ret Ret;
3060 typedef typename FaceForward::ArgExprs ArgExprs;
3062 string getName (void) const
3064 return "faceforward";
3070 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3072 return cond(dot(args.c, args.b) < constant(0.0f), args.a, -args.a);
3076 template<int Size, typename Ret, typename Arg0, typename Arg1>
3079 static ExprP<Ret> apply (ExpandContext& ctx,
3080 const ExprP<Arg0>& i,
3081 const ExprP<Arg1>& n)
3083 const ExprP<float> dotNI = bindExpression("dotNI", ctx, dot(n, i));
3085 return i - alternatives((n * dotNI) * constant(2.0f),
3086 n * (dotNI * constant(2.0f)));
3090 template<typename Ret, typename Arg0, typename Arg1>
3091 struct ApplyReflect<1, Ret, Arg0, Arg1>
3093 static ExprP<Ret> apply (ExpandContext&,
3094 const ExprP<Arg0>& i,
3095 const ExprP<Arg1>& n)
3097 return i - alternatives(alternatives((n * (n*i)) * constant(2.0f),
3098 n * ((n*i) * constant(2.0f))),
3099 (n * n) * (i * constant(2.0f)));
3104 class Reflect : public DerivedFunc<
3105 Signature<typename ContainerOf<float, Size>::Container,
3106 typename ContainerOf<float, Size>::Container,
3107 typename ContainerOf<float, Size>::Container> >
3110 typedef typename Reflect::Ret Ret;
3111 typedef typename Reflect::Arg0 Arg0;
3112 typedef typename Reflect::Arg1 Arg1;
3113 typedef typename Reflect::ArgExprs ArgExprs;
3115 string getName (void) const
3121 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3123 const ExprP<Arg0>& i = args.a;
3124 const ExprP<Arg1>& n = args.b;
3126 return ApplyReflect<Size, Ret, Arg0, Arg1>::apply(ctx, i, n);
3131 class Refract : public DerivedFunc<
3132 Signature<typename ContainerOf<float, Size>::Container,
3133 typename ContainerOf<float, Size>::Container,
3134 typename ContainerOf<float, Size>::Container,
3138 typedef typename Refract::Ret Ret;
3139 typedef typename Refract::Arg0 Arg0;
3140 typedef typename Refract::Arg1 Arg1;
3141 typedef typename Refract::ArgExprs ArgExprs;
3143 string getName (void) const
3149 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3151 const ExprP<Arg0>& i = args.a;
3152 const ExprP<Arg1>& n = args.b;
3153 const ExprP<float>& eta = args.c;
3154 const ExprP<float> dotNI = bindExpression("dotNI", ctx, dot(n, i));
3155 const ExprP<float> k1 = bindExpression("k1", ctx, constant(1.0f) - eta * eta *
3156 (constant(1.0f) - dotNI * dotNI));
3158 const ExprP<float> k2 = bindExpression("k2", ctx,
3159 (((dotNI * (-dotNI)) + constant(1.0f)) * eta)
3160 * (-eta) + constant(1.0f));
3161 const ExprP<float> k = bindExpression("k", ctx, alternatives(k1, k2));
3163 return cond(k < constant(0.0f),
3164 genXType<float, Size>(constant(0.0f)),
3165 i * eta - n * (eta * dotNI + sqrt(k)));
3169 class PreciseFunc1 : public CFloatFunc1
3172 PreciseFunc1 (const string& name, DoubleFunc1& func) : CFloatFunc1(name, func) {}
3174 double precision (const EvalContext&, double, double) const { return 0.0; }
3177 class Abs : public PreciseFunc1
3180 Abs (void) : PreciseFunc1("abs", deAbs) {}
3183 class Sign : public PreciseFunc1
3186 Sign (void) : PreciseFunc1("sign", deSign) {}
3189 class Floor : public PreciseFunc1
3192 Floor (void) : PreciseFunc1("floor", deFloor) {}
3195 class Trunc : public PreciseFunc1
3198 Trunc (void) : PreciseFunc1("trunc", deTrunc) {}
3201 class Round : public FloatFunc1
3204 string getName (void) const { return "round"; }
3207 Interval applyPoint (const EvalContext&, double x) const
3209 double truncated = 0.0;
3210 const double fract = deModf(x, &truncated);
3213 if (fabs(fract) <= 0.5)
3215 if (fabs(fract) >= 0.5)
3216 ret |= truncated + deSign(fract);
3221 double precision (const EvalContext&, double, double) const { return 0.0; }
3224 class RoundEven : public PreciseFunc1
3227 RoundEven (void) : PreciseFunc1("roundEven", deRoundEven) {}
3230 class Ceil : public PreciseFunc1
3233 Ceil (void) : PreciseFunc1("ceil", deCeil) {}
3236 DEFINE_DERIVED_FLOAT1(Fract, fract, x, x - app<Floor>(x));
3238 class PreciseFunc2 : public CFloatFunc2
3241 PreciseFunc2 (const string& name, DoubleFunc2& func) : CFloatFunc2(name, func) {}
3243 double precision (const EvalContext&, double, double, double) const { return 0.0; }
3246 DEFINE_DERIVED_FLOAT2(Mod, mod, x, y, x - y * app<Floor>(x / y));
3248 class Modf : public PrimitiveFunc<Signature<float, float, float> >
3251 string getName (void) const
3257 IRet doApply (const EvalContext&, const IArgs& iargs) const
3260 Interval& wholeIV = const_cast<Interval&>(iargs.b);
3263 TCU_INTERVAL_APPLY_MONOTONE1(fracIV, x, iargs.a, frac, frac = deModf(x, &intPart));
3264 TCU_INTERVAL_APPLY_MONOTONE1(wholeIV, x, iargs.a, whole,
3265 deModf(x, &intPart); whole = intPart);
3267 if (!iargs.a.isFinite())
3269 // Behavior on modf(Inf) not well-defined, allow anything as a fractional part
3270 // See Khronos bug 13907
3277 int getOutParamIndex (void) const
3283 class Min : public PreciseFunc2 { public: Min (void) : PreciseFunc2("min", deMin) {} };
3284 class Max : public PreciseFunc2 { public: Max (void) : PreciseFunc2("max", deMax) {} };
3286 class Clamp : public FloatFunc3
3289 string getName (void) const { return "clamp"; }
3291 double applyExact (double x, double minVal, double maxVal) const
3293 return de::min(de::max(x, minVal), maxVal);
3296 double precision (const EvalContext&, double, double, double minVal, double maxVal) const
3298 return minVal > maxVal ? TCU_NAN : 0.0;
3302 ExprP<float> clamp(const ExprP<float>& x, const ExprP<float>& minVal, const ExprP<float>& maxVal)
3304 return app<Clamp>(x, minVal, maxVal);
3307 DEFINE_DERIVED_FLOAT3(Mix, mix, x, y, a, alternatives((x * (constant(1.0f) - a)) + y * a,
3310 static double step (double edge, double x)
3312 return x < edge ? 0.0 : 1.0;
3315 class Step : public PreciseFunc2 { public: Step (void) : PreciseFunc2("step", step) {} };
3317 class SmoothStep : public DerivedFunc<Signature<float, float, float, float> >
3320 string getName (void) const
3322 return "smoothstep";
3327 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3329 const ExprP<float>& edge0 = args.a;
3330 const ExprP<float>& edge1 = args.b;
3331 const ExprP<float>& x = args.c;
3332 const ExprP<float> tExpr = clamp((x - edge0) / (edge1 - edge0),
3333 constant(0.0f), constant(1.0f));
3334 const ExprP<float> t = bindExpression("t", ctx, tExpr);
3336 return (t * t * (constant(3.0f) - constant(2.0f) * t));
3340 class FrExp : public PrimitiveFunc<Signature<float, float, int> >
3343 string getName (void) const
3349 IRet doApply (const EvalContext&, const IArgs& iargs) const
3352 const IArg0& x = iargs.a;
3353 IArg1& exponent = const_cast<IArg1&>(iargs.b);
3355 if (x.hasNaN() || x.contains(TCU_INFINITY) || x.contains(-TCU_INFINITY))
3357 // GLSL (in contrast to IEEE) says that result of applying frexp
3358 // to infinity is undefined
3359 ret = Interval::unbounded() | TCU_NAN;
3360 exponent = Interval(-deLdExp(1.0, 31), deLdExp(1.0, 31)-1);
3362 else if (!x.empty())
3365 const double loFrac = deFrExp(x.lo(), &loExp);
3367 const double hiFrac = deFrExp(x.hi(), &hiExp);
3369 if (deSign(loFrac) != deSign(hiFrac))
3371 exponent = Interval(-TCU_INFINITY, de::max(loExp, hiExp));
3373 if (deSign(loFrac) < 0)
3374 ret |= Interval(-1.0 + DBL_EPSILON*0.5, 0.0);
3375 if (deSign(hiFrac) > 0)
3376 ret |= Interval(0.0, 1.0 - DBL_EPSILON*0.5);
3380 exponent = Interval(loExp, hiExp);
3382 ret = Interval(loFrac, hiFrac);
3384 ret = deSign(loFrac) * Interval(0.5, 1.0 - DBL_EPSILON*0.5);
3391 int getOutParamIndex (void) const
3397 class LdExp : public PrimitiveFunc<Signature<float, float, int> >
3400 string getName (void) const
3406 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
3408 Interval ret = call<Exp2>(ctx, iargs.b);
3409 // Khronos bug 11180 consensus: if exp2(exponent) cannot be represented,
3410 // the result is undefined.
3412 if (ret.contains(TCU_INFINITY) | ret.contains(-TCU_INFINITY))
3415 return call<Mul>(ctx, iargs.a, ret);
3419 template<int Rows, int Columns>
3420 class Transpose : public PrimitiveFunc<Signature<Matrix<float, Rows, Columns>,
3421 Matrix<float, Columns, Rows> > >
3424 typedef typename Transpose::IRet IRet;
3425 typedef typename Transpose::IArgs IArgs;
3427 string getName (void) const
3433 IRet doApply (const EvalContext&, const IArgs& iargs) const
3437 for (int rowNdx = 0; rowNdx < Rows; ++rowNdx)
3439 for (int colNdx = 0; colNdx < Columns; ++colNdx)
3440 ret(rowNdx, colNdx) = iargs.a(colNdx, rowNdx);
3447 template<typename Ret, typename Arg0, typename Arg1>
3448 class MulFunc : public PrimitiveFunc<Signature<Ret, Arg0, Arg1> >
3451 string getName (void) const { return "mul"; }
3454 void doPrint (ostream& os, const BaseArgExprs& args) const
3456 os << "(" << *args[0] << " * " << *args[1] << ")";
3460 template<int LeftRows, int Middle, int RightCols>
3461 class MatMul : public MulFunc<Matrix<float, LeftRows, RightCols>,
3462 Matrix<float, LeftRows, Middle>,
3463 Matrix<float, Middle, RightCols> >
3466 typedef typename MatMul::IRet IRet;
3467 typedef typename MatMul::IArgs IArgs;
3468 typedef typename MatMul::IArg0 IArg0;
3469 typedef typename MatMul::IArg1 IArg1;
3471 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3473 const IArg0& left = iargs.a;
3474 const IArg1& right = iargs.b;
3477 for (int row = 0; row < LeftRows; ++row)
3479 for (int col = 0; col < RightCols; ++col)
3481 Interval element (0.0);
3483 for (int ndx = 0; ndx < Middle; ++ndx)
3484 element = call<Add>(ctx, element,
3485 call<Mul>(ctx, left[ndx][row], right[col][ndx]));
3487 ret[col][row] = element;
3495 template<int Rows, int Cols>
3496 class VecMatMul : public MulFunc<Vector<float, Cols>,
3497 Vector<float, Rows>,
3498 Matrix<float, Rows, Cols> >
3501 typedef typename VecMatMul::IRet IRet;
3502 typedef typename VecMatMul::IArgs IArgs;
3503 typedef typename VecMatMul::IArg0 IArg0;
3504 typedef typename VecMatMul::IArg1 IArg1;
3507 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3509 const IArg0& left = iargs.a;
3510 const IArg1& right = iargs.b;
3513 for (int col = 0; col < Cols; ++col)
3515 Interval element (0.0);
3517 for (int row = 0; row < Rows; ++row)
3518 element = call<Add>(ctx, element, call<Mul>(ctx, left[row], right[col][row]));
3527 template<int Rows, int Cols>
3528 class MatVecMul : public MulFunc<Vector<float, Rows>,
3529 Matrix<float, Rows, Cols>,
3530 Vector<float, Cols> >
3533 typedef typename MatVecMul::IRet IRet;
3534 typedef typename MatVecMul::IArgs IArgs;
3535 typedef typename MatVecMul::IArg0 IArg0;
3536 typedef typename MatVecMul::IArg1 IArg1;
3539 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3541 const IArg0& left = iargs.a;
3542 const IArg1& right = iargs.b;
3544 return call<VecMatMul<Cols, Rows> >(ctx, right,
3545 call<Transpose<Rows, Cols> >(ctx, left));
3549 template<int Rows, int Cols>
3550 class OuterProduct : public PrimitiveFunc<Signature<Matrix<float, Rows, Cols>,
3551 Vector<float, Rows>,
3552 Vector<float, Cols> > >
3555 typedef typename OuterProduct::IRet IRet;
3556 typedef typename OuterProduct::IArgs IArgs;
3558 string getName (void) const
3560 return "outerProduct";
3564 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3568 for (int row = 0; row < Rows; ++row)
3570 for (int col = 0; col < Cols; ++col)
3571 ret[col][row] = call<Mul>(ctx, iargs.a[row], iargs.b[col]);
3578 template<int Rows, int Cols>
3579 ExprP<Matrix<float, Rows, Cols> > outerProduct (const ExprP<Vector<float, Rows> >& left,
3580 const ExprP<Vector<float, Cols> >& right)
3582 return app<OuterProduct<Rows, Cols> >(left, right);
3586 class DeterminantBase : public DerivedFunc<Signature<float, Matrix<float, Size, Size> > >
3589 string getName (void) const { return "determinant"; }
3596 ExprP<float> determinant (ExprP<Matrix<float, Size, Size> > mat)
3598 return app<Determinant<Size> >(mat);
3602 class Determinant<2> : public DeterminantBase<2>
3605 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3607 ExprP<Mat2> mat = args.a;
3609 return mat[0][0] * mat[1][1] - mat[1][0] * mat[0][1];
3614 class Determinant<3> : public DeterminantBase<3>
3617 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3619 ExprP<Mat3> mat = args.a;
3621 return (mat[0][0] * (mat[1][1] * mat[2][2] - mat[1][2] * mat[2][1]) +
3622 mat[0][1] * (mat[1][2] * mat[2][0] - mat[1][0] * mat[2][2]) +
3623 mat[0][2] * (mat[1][0] * mat[2][1] - mat[1][1] * mat[2][0]));
3628 class Determinant<4> : public DeterminantBase<4>
3631 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3633 ExprP<Mat4> mat = args.a;
3634 ExprP<Mat3> minors[4];
3636 for (int ndx = 0; ndx < 4; ++ndx)
3638 ExprP<Vec4> minorColumns[3];
3639 ExprP<Vec3> columns[3];
3641 for (int col = 0; col < 3; ++col)
3642 minorColumns[col] = mat[col < ndx ? col : col + 1];
3644 for (int col = 0; col < 3; ++col)
3645 columns[col] = vec3(minorColumns[0][col+1],
3646 minorColumns[1][col+1],
3647 minorColumns[2][col+1]);
3649 minors[ndx] = bindExpression("minor", ctx,
3650 mat3(columns[0], columns[1], columns[2]));
3653 return (mat[0][0] * determinant(minors[0]) -
3654 mat[1][0] * determinant(minors[1]) +
3655 mat[2][0] * determinant(minors[2]) -
3656 mat[3][0] * determinant(minors[3]));
3660 template<int Size> class Inverse;
3663 ExprP<Matrix<float, Size, Size> > inverse (ExprP<Matrix<float, Size, Size> > mat)
3665 return app<Inverse<Size> >(mat);
3669 class Inverse<2> : public DerivedFunc<Signature<Mat2, Mat2> >
3672 string getName (void) const
3678 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3680 ExprP<Mat2> mat = args.a;
3681 ExprP<float> det = bindExpression("det", ctx, determinant(mat));
3683 return mat2(vec2(mat[1][1] / det, -mat[0][1] / det),
3684 vec2(-mat[1][0] / det, mat[0][0] / det));
3689 class Inverse<3> : public DerivedFunc<Signature<Mat3, Mat3> >
3692 string getName (void) const
3698 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3700 ExprP<Mat3> mat = args.a;
3701 ExprP<Mat2> invA = bindExpression("invA", ctx,
3702 inverse(mat2(vec2(mat[0][0], mat[0][1]),
3703 vec2(mat[1][0], mat[1][1]))));
3705 ExprP<Vec2> matB = bindExpression("matB", ctx, vec2(mat[2][0], mat[2][1]));
3706 ExprP<Vec2> matC = bindExpression("matC", ctx, vec2(mat[0][2], mat[1][2]));
3707 ExprP<float> matD = bindExpression("matD", ctx, mat[2][2]);
3709 ExprP<float> schur = bindExpression("schur", ctx,
3711 (matD - dot(matC * invA, matB)));
3713 ExprP<Vec2> t1 = invA * matB;
3714 ExprP<Vec2> t2 = t1 * schur;
3715 ExprP<Mat2> t3 = outerProduct(t2, matC);
3716 ExprP<Mat2> t4 = t3 * invA;
3717 ExprP<Mat2> t5 = invA + t4;
3718 ExprP<Mat2> blockA = bindExpression("blockA", ctx, t5);
3719 ExprP<Vec2> blockB = bindExpression("blockB", ctx,
3720 (invA * matB) * -schur);
3721 ExprP<Vec2> blockC = bindExpression("blockC", ctx,
3722 (matC * invA) * -schur);
3724 return mat3(vec3(blockA[0][0], blockA[0][1], blockC[0]),
3725 vec3(blockA[1][0], blockA[1][1], blockC[1]),
3726 vec3(blockB[0], blockB[1], schur));
3731 class Inverse<4> : public DerivedFunc<Signature<Mat4, Mat4> >
3734 string getName (void) const { return "inverse"; }
3737 ExprP<Ret> doExpand (ExpandContext& ctx,
3738 const ArgExprs& args) const
3740 ExprP<Mat4> mat = args.a;
3741 ExprP<Mat2> invA = bindExpression("invA", ctx,
3742 inverse(mat2(vec2(mat[0][0], mat[0][1]),
3743 vec2(mat[1][0], mat[1][1]))));
3744 ExprP<Mat2> matB = bindExpression("matB", ctx,
3745 mat2(vec2(mat[2][0], mat[2][1]),
3746 vec2(mat[3][0], mat[3][1])));
3747 ExprP<Mat2> matC = bindExpression("matC", ctx,
3748 mat2(vec2(mat[0][2], mat[0][3]),
3749 vec2(mat[1][2], mat[1][3])));
3750 ExprP<Mat2> matD = bindExpression("matD", ctx,
3751 mat2(vec2(mat[2][2], mat[2][3]),
3752 vec2(mat[3][2], mat[3][3])));
3753 ExprP<Mat2> schur = bindExpression("schur", ctx,
3754 inverse(matD + -(matC * invA * matB)));
3755 ExprP<Mat2> blockA = bindExpression("blockA", ctx,
3756 invA + (invA * matB * schur * matC * invA));
3757 ExprP<Mat2> blockB = bindExpression("blockB", ctx,
3758 (-invA) * matB * schur);
3759 ExprP<Mat2> blockC = bindExpression("blockC", ctx,
3760 (-schur) * matC * invA);
3762 return mat4(vec4(blockA[0][0], blockA[0][1], blockC[0][0], blockC[0][1]),
3763 vec4(blockA[1][0], blockA[1][1], blockC[1][0], blockC[1][1]),
3764 vec4(blockB[0][0], blockB[0][1], schur[0][0], schur[0][1]),
3765 vec4(blockB[1][0], blockB[1][1], schur[1][0], schur[1][1]));
3769 class Fma : public DerivedFunc<Signature<float, float, float, float> >
3772 string getName (void) const
3777 string getRequiredExtension (void) const
3779 return "GL_EXT_gpu_shader5";
3783 ExprP<float> doExpand (ExpandContext&, const ArgExprs& x) const
3785 return x.a * x.b + x.c;
3791 using namespace Functions;
3793 template <typename T>
3794 ExprP<typename T::Element> ContainerExprPBase<T>::operator[] (int i) const
3796 return Functions::getComponent(exprP<T>(*this), i);
3799 ExprP<float> operator+ (const ExprP<float>& arg0, const ExprP<float>& arg1)
3801 return app<Add>(arg0, arg1);
3804 ExprP<float> operator- (const ExprP<float>& arg0, const ExprP<float>& arg1)
3806 return app<Sub>(arg0, arg1);
3809 ExprP<float> operator- (const ExprP<float>& arg0)
3811 return app<Negate>(arg0);
3814 ExprP<float> operator* (const ExprP<float>& arg0, const ExprP<float>& arg1)
3816 return app<Mul>(arg0, arg1);
3819 ExprP<float> operator/ (const ExprP<float>& arg0, const ExprP<float>& arg1)
3821 return app<Div>(arg0, arg1);
3824 template <typename Sig_, int Size>
3825 class GenFunc : public PrimitiveFunc<Signature<
3826 typename ContainerOf<typename Sig_::Ret, Size>::Container,
3827 typename ContainerOf<typename Sig_::Arg0, Size>::Container,
3828 typename ContainerOf<typename Sig_::Arg1, Size>::Container,
3829 typename ContainerOf<typename Sig_::Arg2, Size>::Container,
3830 typename ContainerOf<typename Sig_::Arg3, Size>::Container> >
3833 typedef typename GenFunc::IArgs IArgs;
3834 typedef typename GenFunc::IRet IRet;
3836 GenFunc (const Func<Sig_>& scalarFunc) : m_func (scalarFunc) {}
3838 string getName (void) const
3840 return m_func.getName();
3843 int getOutParamIndex (void) const
3845 return m_func.getOutParamIndex();
3848 string getRequiredExtension (void) const
3850 return m_func.getRequiredExtension();
3854 void doPrint (ostream& os, const BaseArgExprs& args) const
3856 m_func.print(os, args);
3859 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3863 for (int ndx = 0; ndx < Size; ++ndx)
3866 m_func.apply(ctx, iargs.a[ndx], iargs.b[ndx], iargs.c[ndx], iargs.d[ndx]);
3872 void doGetUsedFuncs (FuncSet& dst) const
3874 m_func.getUsedFuncs(dst);
3877 const Func<Sig_>& m_func;
3880 template <typename F, int Size>
3881 class VectorizedFunc : public GenFunc<typename F::Sig, Size>
3884 VectorizedFunc (void) : GenFunc<typename F::Sig, Size>(instance<F>()) {}
3889 template <typename Sig_, int Size>
3890 class FixedGenFunc : public PrimitiveFunc <Signature<
3891 typename ContainerOf<typename Sig_::Ret, Size>::Container,
3892 typename ContainerOf<typename Sig_::Arg0, Size>::Container,
3893 typename Sig_::Arg1,
3894 typename ContainerOf<typename Sig_::Arg2, Size>::Container,
3895 typename ContainerOf<typename Sig_::Arg3, Size>::Container> >
3898 typedef typename FixedGenFunc::IArgs IArgs;
3899 typedef typename FixedGenFunc::IRet IRet;
3901 string getName (void) const
3903 return this->doGetScalarFunc().getName();
3907 void doPrint (ostream& os, const BaseArgExprs& args) const
3909 this->doGetScalarFunc().print(os, args);
3912 IRet doApply (const EvalContext& ctx,
3913 const IArgs& iargs) const
3916 const Func<Sig_>& func = this->doGetScalarFunc();
3918 for (int ndx = 0; ndx < Size; ++ndx)
3919 ret[ndx] = func.apply(ctx, iargs.a[ndx], iargs.b, iargs.c[ndx], iargs.d[ndx]);
3924 virtual const Func<Sig_>& doGetScalarFunc (void) const = 0;
3927 template <typename F, int Size>
3928 class FixedVecFunc : public FixedGenFunc<typename F::Sig, Size>
3931 const Func<typename F::Sig>& doGetScalarFunc (void) const { return instance<F>(); }
3934 template<typename Sig>
3937 GenFuncs (const Func<Sig>& func_,
3938 const GenFunc<Sig, 2>& func2_,
3939 const GenFunc<Sig, 3>& func3_,
3940 const GenFunc<Sig, 4>& func4_)
3947 const Func<Sig>& func;
3948 const GenFunc<Sig, 2>& func2;
3949 const GenFunc<Sig, 3>& func3;
3950 const GenFunc<Sig, 4>& func4;
3953 template<typename F>
3954 GenFuncs<typename F::Sig> makeVectorizedFuncs (void)
3956 return GenFuncs<typename F::Sig>(instance<F>(),
3957 instance<VectorizedFunc<F, 2> >(),
3958 instance<VectorizedFunc<F, 3> >(),
3959 instance<VectorizedFunc<F, 4> >());
3963 ExprP<Vector<float, Size> > operator*(const ExprP<Vector<float, Size> >& arg0,
3964 const ExprP<Vector<float, Size> >& arg1)
3966 return app<VectorizedFunc<Mul, Size> >(arg0, arg1);
3970 ExprP<Vector<float, Size> > operator*(const ExprP<Vector<float, Size> >& arg0,
3971 const ExprP<float>& arg1)
3973 return app<FixedVecFunc<Mul, Size> >(arg0, arg1);
3977 ExprP<Vector<float, Size> > operator/(const ExprP<Vector<float, Size> >& arg0,
3978 const ExprP<float>& arg1)
3980 return app<FixedVecFunc<Div, Size> >(arg0, arg1);
3984 ExprP<Vector<float, Size> > operator-(const ExprP<Vector<float, Size> >& arg0)
3986 return app<VectorizedFunc<Negate, Size> >(arg0);
3990 ExprP<Vector<float, Size> > operator-(const ExprP<Vector<float, Size> >& arg0,
3991 const ExprP<Vector<float, Size> >& arg1)
3993 return app<VectorizedFunc<Sub, Size> >(arg0, arg1);
3996 template<int LeftRows, int Middle, int RightCols>
3997 ExprP<Matrix<float, LeftRows, RightCols> >
3998 operator* (const ExprP<Matrix<float, LeftRows, Middle> >& left,
3999 const ExprP<Matrix<float, Middle, RightCols> >& right)
4001 return app<MatMul<LeftRows, Middle, RightCols> >(left, right);
4004 template<int Rows, int Cols>
4005 ExprP<Vector<float, Rows> > operator* (const ExprP<Vector<float, Cols> >& left,
4006 const ExprP<Matrix<float, Rows, Cols> >& right)
4008 return app<VecMatMul<Rows, Cols> >(left, right);
4011 template<int Rows, int Cols>
4012 ExprP<Vector<float, Cols> > operator* (const ExprP<Matrix<float, Rows, Cols> >& left,
4013 const ExprP<Vector<float, Rows> >& right)
4015 return app<MatVecMul<Rows, Cols> >(left, right);
4018 template<int Rows, int Cols>
4019 ExprP<Matrix<float, Rows, Cols> > operator* (const ExprP<Matrix<float, Rows, Cols> >& left,
4020 const ExprP<float>& right)
4022 return app<ScalarMatFunc<Mul, Rows, Cols> >(left, right);
4025 template<int Rows, int Cols>
4026 ExprP<Matrix<float, Rows, Cols> > operator+ (const ExprP<Matrix<float, Rows, Cols> >& left,
4027 const ExprP<Matrix<float, Rows, Cols> >& right)
4029 return app<CompMatFunc<Add, Rows, Cols> >(left, right);
4032 template<int Rows, int Cols>
4033 ExprP<Matrix<float, Rows, Cols> > operator- (const ExprP<Matrix<float, Rows, Cols> >& mat)
4035 return app<MatNeg<Rows, Cols> >(mat);
4038 template <typename T>
4042 virtual void genFixeds (const FloatFormat&, vector<T>&) const {}
4043 virtual T genRandom (const FloatFormat&, Precision, Random&) const { return T(); }
4044 virtual double getWeight (void) const { return 0.0; }
4048 class DefaultSampling<Void> : public Sampling<Void>
4051 void genFixeds (const FloatFormat&, vector<Void>& dst) const { dst.push_back(Void()); }
4055 class DefaultSampling<bool> : public Sampling<bool>
4058 void genFixeds (const FloatFormat&, vector<bool>& dst) const
4060 dst.push_back(true);
4061 dst.push_back(false);
4066 class DefaultSampling<int> : public Sampling<int>
4069 int genRandom (const FloatFormat&, Precision prec, Random& rnd) const
4071 const int exp = rnd.getInt(0, getNumBits(prec)-2);
4072 const int sign = rnd.getBool() ? -1 : 1;
4074 return sign * rnd.getInt(0, (deInt32)1 << exp);
4077 void genFixeds (const FloatFormat&, vector<int>& dst) const
4083 double getWeight (void) const { return 1.0; }
4086 static inline int getNumBits (Precision prec)
4090 case glu::PRECISION_LOWP: return 8;
4091 case glu::PRECISION_MEDIUMP: return 16;
4092 case glu::PRECISION_HIGHP: return 32;
4101 class DefaultSampling<float> : public Sampling<float>
4104 float genRandom (const FloatFormat& format, Precision prec, Random& rnd) const;
4105 void genFixeds (const FloatFormat& format, vector<float>& dst) const;
4106 double getWeight (void) const { return 1.0; }
4109 //! Generate a random float from a reasonable general-purpose distribution.
4110 float DefaultSampling<float>::genRandom (const FloatFormat& format,
4114 const int minExp = format.getMinExp();
4115 const int maxExp = format.getMaxExp();
4116 const bool haveSubnormal = format.hasSubnormal() != tcu::NO;
4118 // Choose exponent so that the cumulative distribution is cubic.
4119 // This makes the probability distribution quadratic, with the peak centered on zero.
4120 const double minRoot = deCbrt(minExp - 0.5 - (haveSubnormal ? 1.0 : 0.0));
4121 const double maxRoot = deCbrt(maxExp + 0.5);
4122 const int fractionBits = format.getFractionBits();
4123 const int exp = int(deRoundEven(dePow(rnd.getDouble(minRoot, maxRoot),
4125 float base = 0.0f; // integral power of two
4126 float quantum = 0.0f; // smallest representable difference in the binade
4127 float significand = 0.0f; // Significand.
4129 DE_ASSERT(fractionBits < std::numeric_limits<float>::digits);
4131 // Generate some occasional special numbers
4132 switch (rnd.getInt(0, 64))
4135 case 1: return TCU_INFINITY;
4136 case 2: return -TCU_INFINITY;
4137 case 3: return TCU_NAN;
4144 base = deFloatLdExp(1.0f, exp);
4145 quantum = deFloatLdExp(1.0f, exp - fractionBits);
4151 quantum = deFloatLdExp(1.0f, minExp - fractionBits);
4154 switch (rnd.getInt(0, 16))
4156 case 0: // The highest number in this binade, significand is all bits one.
4157 significand = base - quantum;
4159 case 1: // Significand is one.
4160 significand = quantum;
4162 case 2: // Significand is zero.
4165 default: // Random (evenly distributed) significand.
4167 deUint64 intFraction = rnd.getUint64() & ((1 << fractionBits) - 1);
4168 significand = float(intFraction) * quantum;
4172 // Produce positive numbers more often than negative.
4173 return (rnd.getInt(0,3) == 0 ? -1.0f : 1.0f) * (base + significand);
4176 //! Generate a standard set of floats that should always be tested.
4177 void DefaultSampling<float>::genFixeds (const FloatFormat& format, vector<float>& dst) const
4179 const int minExp = format.getMinExp();
4180 const int maxExp = format.getMaxExp();
4181 const int fractionBits = format.getFractionBits();
4182 const float minQuantum = deFloatLdExp(1.0f, minExp - fractionBits);
4183 const float minNormalized = deFloatLdExp(1.0f, minExp);
4184 const float maxQuantum = deFloatLdExp(1.0f, maxExp - fractionBits);
4187 dst.push_back(TCU_NAN);
4189 dst.push_back(0.0f);
4191 for (int sign = -1; sign <= 1; sign += 2)
4193 // Smallest subnormal
4194 dst.push_back((float)sign * minQuantum);
4196 // Largest subnormal
4197 dst.push_back((float)sign * (minNormalized - minQuantum));
4199 // Smallest normalized
4200 dst.push_back((float)sign * minNormalized);
4202 // Next smallest normalized
4203 dst.push_back((float)sign * (minNormalized + minQuantum));
4205 dst.push_back((float)sign * 0.5f);
4206 dst.push_back((float)sign * 1.0f);
4207 dst.push_back((float)sign * 2.0f);
4210 dst.push_back((float)sign * (deFloatLdExp(1.0f, maxExp) +
4211 (deFloatLdExp(1.0f, maxExp) - maxQuantum)));
4213 dst.push_back((float)sign * TCU_INFINITY);
4217 template <typename T, int Size>
4218 class DefaultSampling<Vector<T, Size> > : public Sampling<Vector<T, Size> >
4221 typedef Vector<T, Size> Value;
4223 Value genRandom (const FloatFormat& fmt, Precision prec, Random& rnd) const
4227 for (int ndx = 0; ndx < Size; ++ndx)
4228 ret[ndx] = instance<DefaultSampling<T> >().genRandom(fmt, prec, rnd);
4233 void genFixeds (const FloatFormat& fmt, vector<Value>& dst) const
4237 instance<DefaultSampling<T> >().genFixeds(fmt, scalars);
4239 for (size_t scalarNdx = 0; scalarNdx < scalars.size(); ++scalarNdx)
4240 dst.push_back(Value(scalars[scalarNdx]));
4243 double getWeight (void) const
4245 return dePow(instance<DefaultSampling<T> >().getWeight(), Size);
4249 template <typename T, int Rows, int Columns>
4250 class DefaultSampling<Matrix<T, Rows, Columns> > : public Sampling<Matrix<T, Rows, Columns> >
4253 typedef Matrix<T, Rows, Columns> Value;
4255 Value genRandom (const FloatFormat& fmt, Precision prec, Random& rnd) const
4259 for (int rowNdx = 0; rowNdx < Rows; ++rowNdx)
4260 for (int colNdx = 0; colNdx < Columns; ++colNdx)
4261 ret(rowNdx, colNdx) = instance<DefaultSampling<T> >().genRandom(fmt, prec, rnd);
4266 void genFixeds (const FloatFormat& fmt, vector<Value>& dst) const
4270 instance<DefaultSampling<T> >().genFixeds(fmt, scalars);
4272 for (size_t scalarNdx = 0; scalarNdx < scalars.size(); ++scalarNdx)
4273 dst.push_back(Value(scalars[scalarNdx]));
4275 if (Columns == Rows)
4280 for (int ndx = 0; ndx < Columns; ++ndx)
4282 mat[Columns-1-ndx][ndx] = x;
4289 double getWeight (void) const
4291 return dePow(instance<DefaultSampling<T> >().getWeight(), Rows * Columns);
4297 Context (const string& name_,
4298 TestContext& testContext_,
4299 RenderContext& renderContext_,
4300 const FloatFormat& floatFormat_,
4301 const FloatFormat& highpFormat_,
4302 Precision precision_,
4303 ShaderType shaderType_,
4306 , testContext (testContext_)
4307 , renderContext (renderContext_)
4308 , floatFormat (floatFormat_)
4309 , highpFormat (highpFormat_)
4310 , precision (precision_)
4311 , shaderType (shaderType_)
4312 , numRandoms (numRandoms_) {}
4315 TestContext& testContext;
4316 RenderContext& renderContext;
4317 FloatFormat floatFormat;
4318 FloatFormat highpFormat;
4319 Precision precision;
4320 ShaderType shaderType;
4324 template<typename In0_ = Void, typename In1_ = Void, typename In2_ = Void, typename In3_ = Void>
4333 template <typename In>
4334 int numInputs (void)
4336 return (!isTypeValid<typename In::In0>() ? 0 :
4337 !isTypeValid<typename In::In1>() ? 1 :
4338 !isTypeValid<typename In::In2>() ? 2 :
4339 !isTypeValid<typename In::In3>() ? 3 :
4343 template<typename Out0_, typename Out1_ = Void>
4350 template <typename Out>
4351 int numOutputs (void)
4353 return (!isTypeValid<typename Out::Out0>() ? 0 :
4354 !isTypeValid<typename Out::Out1>() ? 1 :
4358 template<typename In>
4361 vector<typename In::In0> in0;
4362 vector<typename In::In1> in1;
4363 vector<typename In::In2> in2;
4364 vector<typename In::In3> in3;
4367 template<typename Out>
4370 Outputs (size_t size) : out0(size), out1(size) {}
4372 vector<typename Out::Out0> out0;
4373 vector<typename Out::Out1> out1;
4376 template<typename In, typename Out>
4379 VariableP<typename In::In0> in0;
4380 VariableP<typename In::In1> in1;
4381 VariableP<typename In::In2> in2;
4382 VariableP<typename In::In3> in3;
4383 VariableP<typename Out::Out0> out0;
4384 VariableP<typename Out::Out1> out1;
4387 template<typename In>
4390 Samplings (const Sampling<typename In::In0>& in0_,
4391 const Sampling<typename In::In1>& in1_,
4392 const Sampling<typename In::In2>& in2_,
4393 const Sampling<typename In::In3>& in3_)
4394 : in0 (in0_), in1 (in1_), in2 (in2_), in3 (in3_) {}
4396 const Sampling<typename In::In0>& in0;
4397 const Sampling<typename In::In1>& in1;
4398 const Sampling<typename In::In2>& in2;
4399 const Sampling<typename In::In3>& in3;
4402 template<typename In>
4403 struct DefaultSamplings : Samplings<In>
4405 DefaultSamplings (void)
4406 : Samplings<In>(instance<DefaultSampling<typename In::In0> >(),
4407 instance<DefaultSampling<typename In::In1> >(),
4408 instance<DefaultSampling<typename In::In2> >(),
4409 instance<DefaultSampling<typename In::In3> >()) {}
4412 class PrecisionCase : public TestCase
4415 IterateResult iterate (void);
4418 PrecisionCase (const Context& context,
4420 const string& extension = "")
4421 : TestCase (context.testContext,
4426 , m_rnd (0xdeadbeefu +
4427 context.testContext.getCommandLine().getBaseSeed())
4428 , m_extension (extension)
4432 RenderContext& getRenderContext(void) const { return m_ctx.renderContext; }
4434 const FloatFormat& getFormat (void) const { return m_ctx.floatFormat; }
4436 TestLog& log (void) const { return m_testCtx.getLog(); }
4438 virtual void runTest (void) = 0;
4440 template <typename In, typename Out>
4441 void testStatement (const Variables<In, Out>& variables,
4442 const Inputs<In>& inputs,
4443 const Statement& stmt);
4445 template<typename T>
4446 Symbol makeSymbol (const Variable<T>& variable)
4448 return Symbol(variable.getName(), getVarTypeOf<T>(m_ctx.precision));
4452 ResultCollector m_status;
4454 const string m_extension;
4457 IterateResult PrecisionCase::iterate (void)
4460 m_status.setTestContextResult(m_testCtx);
4464 template <typename In, typename Out>
4465 void PrecisionCase::testStatement (const Variables<In, Out>& variables,
4466 const Inputs<In>& inputs,
4467 const Statement& stmt)
4469 using namespace ShaderExecUtil;
4471 typedef typename In::In0 In0;
4472 typedef typename In::In1 In1;
4473 typedef typename In::In2 In2;
4474 typedef typename In::In3 In3;
4475 typedef typename Out::Out0 Out0;
4476 typedef typename Out::Out1 Out1;
4478 const FloatFormat& fmt = getFormat();
4479 const int inCount = numInputs<In>();
4480 const int outCount = numOutputs<Out>();
4481 const size_t numValues = (inCount > 0) ? inputs.in0.size() : 1;
4482 Outputs<Out> outputs (numValues);
4484 const FloatFormat highpFmt = m_ctx.highpFormat;
4485 const int maxMsgs = 100;
4487 Environment env; // Hoisted out of the inner loop for optimization.
4491 case 4: DE_ASSERT(inputs.in3.size() == numValues);
4492 case 3: DE_ASSERT(inputs.in2.size() == numValues);
4493 case 2: DE_ASSERT(inputs.in1.size() == numValues);
4494 case 1: DE_ASSERT(inputs.in0.size() == numValues);
4498 // Print out the statement and its definitions
4499 log() << TestLog::Message << "Statement: " << stmt << TestLog::EndMessage;
4504 stmt.getUsedFuncs(funcs);
4505 for (FuncSet::const_iterator it = funcs.begin(); it != funcs.end(); ++it)
4507 (*it)->printDefinition(oss);
4510 log() << TestLog::Message << "Reference definitions:\n" << oss.str()
4511 << TestLog::EndMessage;
4514 // Initialize ShaderSpec from precision, variables and statement.
4517 os << "precision " << glu::getPrecisionName(m_ctx.precision) << " float;\n";
4518 spec.globalDeclarations = os.str();
4521 spec.version = getContextTypeGLSLVersion(getRenderContext().getType());
4523 if (!m_extension.empty())
4524 spec.globalDeclarations = "#extension " + m_extension + " : require\n";
4526 spec.inputs.resize(inCount);
4530 case 4: spec.inputs[3] = makeSymbol(*variables.in3);
4531 case 3: spec.inputs[2] = makeSymbol(*variables.in2);
4532 case 2: spec.inputs[1] = makeSymbol(*variables.in1);
4533 case 1: spec.inputs[0] = makeSymbol(*variables.in0);
4537 spec.outputs.resize(outCount);
4541 case 2: spec.outputs[1] = makeSymbol(*variables.out1);
4542 case 1: spec.outputs[0] = makeSymbol(*variables.out0);
4546 spec.source = de::toString(stmt);
4548 // Run the shader with inputs.
4550 UniquePtr<ShaderExecutor> executor (createExecutor(getRenderContext(),
4553 const void* inputArr[] =
4555 &inputs.in0.front(), &inputs.in1.front(), &inputs.in2.front(), &inputs.in3.front(),
4559 &outputs.out0.front(), &outputs.out1.front(),
4562 executor->log(log());
4563 if (!executor->isOk())
4564 TCU_FAIL("Shader compilation failed");
4566 executor->useProgram();
4567 executor->execute(int(numValues), inputArr, outputArr);
4570 // Initialize environment with dummy values so we don't need to bind in inner loop.
4572 const typename Traits<In0>::IVal in0;
4573 const typename Traits<In1>::IVal in1;
4574 const typename Traits<In2>::IVal in2;
4575 const typename Traits<In3>::IVal in3;
4576 const typename Traits<Out0>::IVal reference0;
4577 const typename Traits<Out1>::IVal reference1;
4579 env.bind(*variables.in0, in0);
4580 env.bind(*variables.in1, in1);
4581 env.bind(*variables.in2, in2);
4582 env.bind(*variables.in3, in3);
4583 env.bind(*variables.out0, reference0);
4584 env.bind(*variables.out1, reference1);
4587 // For each input tuple, compute output reference interval and compare
4588 // shader output to the reference.
4589 for (size_t valueNdx = 0; valueNdx < numValues; valueNdx++)
4592 typename Traits<Out0>::IVal reference0;
4593 typename Traits<Out1>::IVal reference1;
4595 if (valueNdx % (size_t)TOUCH_WATCHDOG_VALUE_FREQUENCY == 0)
4596 m_testCtx.touchWatchdog();
4598 env.lookup(*variables.in0) = convert<In0>(fmt, round(fmt, inputs.in0[valueNdx]));
4599 env.lookup(*variables.in1) = convert<In1>(fmt, round(fmt, inputs.in1[valueNdx]));
4600 env.lookup(*variables.in2) = convert<In2>(fmt, round(fmt, inputs.in2[valueNdx]));
4601 env.lookup(*variables.in3) = convert<In3>(fmt, round(fmt, inputs.in3[valueNdx]));
4604 EvalContext ctx (fmt, m_ctx.precision, env);
4611 reference1 = convert<Out1>(highpFmt, env.lookup(*variables.out1));
4612 if (!m_status.check(contains(reference1, outputs.out1[valueNdx]),
4613 "Shader output 1 is outside acceptable range"))
4616 reference0 = convert<Out0>(highpFmt, env.lookup(*variables.out0));
4617 if (!m_status.check(contains(reference0, outputs.out0[valueNdx]),
4618 "Shader output 0 is outside acceptable range"))
4626 if ((!result && numErrors <= maxMsgs) || GLS_LOG_ALL_RESULTS)
4628 MessageBuilder builder = log().message();
4630 builder << (result ? "Passed" : "Failed") << " sample:\n";
4634 builder << "\t" << variables.in0->getName() << " = "
4635 << valueToString(highpFmt, inputs.in0[valueNdx]) << "\n";
4640 builder << "\t" << variables.in1->getName() << " = "
4641 << valueToString(highpFmt, inputs.in1[valueNdx]) << "\n";
4646 builder << "\t" << variables.in2->getName() << " = "
4647 << valueToString(highpFmt, inputs.in2[valueNdx]) << "\n";
4652 builder << "\t" << variables.in3->getName() << " = "
4653 << valueToString(highpFmt, inputs.in3[valueNdx]) << "\n";
4658 builder << "\t" << variables.out0->getName() << " = "
4659 << valueToString(highpFmt, outputs.out0[valueNdx]) << "\n"
4660 << "\tExpected range: "
4661 << intervalToString<typename Out::Out0>(highpFmt, reference0) << "\n";
4666 builder << "\t" << variables.out1->getName() << " = "
4667 << valueToString(highpFmt, outputs.out1[valueNdx]) << "\n"
4668 << "\tExpected range: "
4669 << intervalToString<typename Out::Out1>(highpFmt, reference1) << "\n";
4672 builder << TestLog::EndMessage;
4676 if (numErrors > maxMsgs)
4678 log() << TestLog::Message << "(Skipped " << (numErrors - maxMsgs) << " messages.)"
4679 << TestLog::EndMessage;
4684 log() << TestLog::Message << "All " << numValues << " inputs passed."
4685 << TestLog::EndMessage;
4689 log() << TestLog::Message << numErrors << "/" << numValues << " inputs failed."
4690 << TestLog::EndMessage;
4696 template <typename T>
4699 bool operator() (const T& val1, const T& val2) const
4705 template <typename T>
4706 bool inputLess (const T& val1, const T& val2)
4708 return InputLess<T>()(val1, val2);
4712 struct InputLess<float>
4714 bool operator() (const float& val1, const float& val2) const
4724 template <typename T, int Size>
4725 struct InputLess<Vector<T, Size> >
4727 bool operator() (const Vector<T, Size>& vec1, const Vector<T, Size>& vec2) const
4729 for (int ndx = 0; ndx < Size; ++ndx)
4731 if (inputLess(vec1[ndx], vec2[ndx]))
4733 if (inputLess(vec2[ndx], vec1[ndx]))
4741 template <typename T, int Rows, int Cols>
4742 struct InputLess<Matrix<T, Rows, Cols> >
4744 bool operator() (const Matrix<T, Rows, Cols>& mat1,
4745 const Matrix<T, Rows, Cols>& mat2) const
4747 for (int col = 0; col < Cols; ++col)
4749 if (inputLess(mat1[col], mat2[col]))
4751 if (inputLess(mat2[col], mat1[col]))
4759 template <typename In>
4761 public Tuple4<typename In::In0, typename In::In1, typename In::In2, typename In::In3>
4763 InTuple (const typename In::In0& in0,
4764 const typename In::In1& in1,
4765 const typename In::In2& in2,
4766 const typename In::In3& in3)
4767 : Tuple4<typename In::In0, typename In::In1, typename In::In2, typename In::In3>
4768 (in0, in1, in2, in3) {}
4771 template <typename In>
4772 struct InputLess<InTuple<In> >
4774 bool operator() (const InTuple<In>& in1, const InTuple<In>& in2) const
4776 if (inputLess(in1.a, in2.a))
4778 if (inputLess(in2.a, in1.a))
4780 if (inputLess(in1.b, in2.b))
4782 if (inputLess(in2.b, in1.b))
4784 if (inputLess(in1.c, in2.c))
4786 if (inputLess(in2.c, in1.c))
4788 if (inputLess(in1.d, in2.d))
4794 template<typename In>
4795 Inputs<In> generateInputs (const Samplings<In>& samplings,
4796 const FloatFormat& floatFormat,
4797 Precision intPrecision,
4802 Inputs<In> fixedInputs;
4803 set<InTuple<In>, InputLess<InTuple<In> > > seenInputs;
4805 samplings.in0.genFixeds(floatFormat, fixedInputs.in0);
4806 samplings.in1.genFixeds(floatFormat, fixedInputs.in1);
4807 samplings.in2.genFixeds(floatFormat, fixedInputs.in2);
4808 samplings.in3.genFixeds(floatFormat, fixedInputs.in3);
4810 for (size_t ndx0 = 0; ndx0 < fixedInputs.in0.size(); ++ndx0)
4812 for (size_t ndx1 = 0; ndx1 < fixedInputs.in1.size(); ++ndx1)
4814 for (size_t ndx2 = 0; ndx2 < fixedInputs.in2.size(); ++ndx2)
4816 for (size_t ndx3 = 0; ndx3 < fixedInputs.in3.size(); ++ndx3)
4818 const InTuple<In> tuple (fixedInputs.in0[ndx0],
4819 fixedInputs.in1[ndx1],
4820 fixedInputs.in2[ndx2],
4821 fixedInputs.in3[ndx3]);
4823 seenInputs.insert(tuple);
4824 ret.in0.push_back(tuple.a);
4825 ret.in1.push_back(tuple.b);
4826 ret.in2.push_back(tuple.c);
4827 ret.in3.push_back(tuple.d);
4833 for (size_t ndx = 0; ndx < numSamples; ++ndx)
4835 const typename In::In0 in0 = samplings.in0.genRandom(floatFormat, intPrecision, rnd);
4836 const typename In::In1 in1 = samplings.in1.genRandom(floatFormat, intPrecision, rnd);
4837 const typename In::In2 in2 = samplings.in2.genRandom(floatFormat, intPrecision, rnd);
4838 const typename In::In3 in3 = samplings.in3.genRandom(floatFormat, intPrecision, rnd);
4839 const InTuple<In> tuple (in0, in1, in2, in3);
4841 if (de::contains(seenInputs, tuple))
4844 seenInputs.insert(tuple);
4845 ret.in0.push_back(in0);
4846 ret.in1.push_back(in1);
4847 ret.in2.push_back(in2);
4848 ret.in3.push_back(in3);
4854 class FuncCaseBase : public PrecisionCase
4857 IterateResult iterate (void);
4860 FuncCaseBase (const Context& context,
4862 const FuncBase& func)
4863 : PrecisionCase (context, name, func.getRequiredExtension()) {}
4866 IterateResult FuncCaseBase::iterate (void)
4868 MovePtr<ContextInfo> info (ContextInfo::create(getRenderContext()));
4870 if (!m_extension.empty() && !info->isExtensionSupported(m_extension.c_str()))
4871 throw NotSupportedError("Unsupported extension: " + m_extension);
4875 m_status.setTestContextResult(m_testCtx);
4879 template <typename Sig>
4880 class FuncCase : public FuncCaseBase
4883 typedef Func<Sig> CaseFunc;
4884 typedef typename Sig::Ret Ret;
4885 typedef typename Sig::Arg0 Arg0;
4886 typedef typename Sig::Arg1 Arg1;
4887 typedef typename Sig::Arg2 Arg2;
4888 typedef typename Sig::Arg3 Arg3;
4889 typedef InTypes<Arg0, Arg1, Arg2, Arg3> In;
4890 typedef OutTypes<Ret> Out;
4892 FuncCase (const Context& context,
4894 const CaseFunc& func)
4895 : FuncCaseBase (context, name, func)
4899 void runTest (void);
4901 virtual const Samplings<In>& getSamplings (void)
4903 return instance<DefaultSamplings<In> >();
4907 const CaseFunc& m_func;
4910 template <typename Sig>
4911 void FuncCase<Sig>::runTest (void)
4913 const Inputs<In> inputs (generateInputs(getSamplings(),
4918 Variables<In, Out> variables;
4920 variables.out0 = variable<Ret>("out0");
4921 variables.out1 = variable<Void>("out1");
4922 variables.in0 = variable<Arg0>("in0");
4923 variables.in1 = variable<Arg1>("in1");
4924 variables.in2 = variable<Arg2>("in2");
4925 variables.in3 = variable<Arg3>("in3");
4928 ExprP<Ret> expr = applyVar(m_func,
4929 variables.in0, variables.in1,
4930 variables.in2, variables.in3);
4931 StatementP stmt = variableAssignment(variables.out0, expr);
4933 this->testStatement(variables, inputs, *stmt);
4937 template <typename Sig>
4938 class InOutFuncCase : public FuncCaseBase
4941 typedef Func<Sig> CaseFunc;
4942 typedef typename Sig::Ret Ret;
4943 typedef typename Sig::Arg0 Arg0;
4944 typedef typename Sig::Arg1 Arg1;
4945 typedef typename Sig::Arg2 Arg2;
4946 typedef typename Sig::Arg3 Arg3;
4947 typedef InTypes<Arg0, Arg2, Arg3> In;
4948 typedef OutTypes<Ret, Arg1> Out;
4950 InOutFuncCase (const Context& context,
4952 const CaseFunc& func)
4953 : FuncCaseBase (context, name, func)
4957 void runTest (void);
4959 virtual const Samplings<In>& getSamplings (void)
4961 return instance<DefaultSamplings<In> >();
4965 const CaseFunc& m_func;
4968 template <typename Sig>
4969 void InOutFuncCase<Sig>::runTest (void)
4971 const Inputs<In> inputs (generateInputs(getSamplings(),
4976 Variables<In, Out> variables;
4978 variables.out0 = variable<Ret>("out0");
4979 variables.out1 = variable<Arg1>("out1");
4980 variables.in0 = variable<Arg0>("in0");
4981 variables.in1 = variable<Arg2>("in1");
4982 variables.in2 = variable<Arg3>("in2");
4983 variables.in3 = variable<Void>("in3");
4986 ExprP<Ret> expr = applyVar(m_func,
4987 variables.in0, variables.out1,
4988 variables.in1, variables.in2);
4989 StatementP stmt = variableAssignment(variables.out0, expr);
4991 this->testStatement(variables, inputs, *stmt);
4995 template <typename Sig>
4996 PrecisionCase* createFuncCase (const Context& context,
4998 const Func<Sig>& func)
5000 switch (func.getOutParamIndex())
5003 return new FuncCase<Sig>(context, name, func);
5005 return new InOutFuncCase<Sig>(context, name, func);
5007 DE_FATAL("Impossible");
5015 virtual ~CaseFactory (void) {}
5016 virtual MovePtr<TestNode> createCase (const Context& ctx) const = 0;
5017 virtual string getName (void) const = 0;
5018 virtual string getDesc (void) const = 0;
5021 class FuncCaseFactory : public CaseFactory
5024 virtual const FuncBase& getFunc (void) const = 0;
5026 string getName (void) const
5028 return de::toLower(getFunc().getName());
5031 string getDesc (void) const
5033 return "Function '" + getFunc().getName() + "'";
5037 template <typename Sig>
5038 class GenFuncCaseFactory : public CaseFactory
5042 GenFuncCaseFactory (const GenFuncs<Sig>& funcs,
5045 , m_name (de::toLower(name)) {}
5047 MovePtr<TestNode> createCase (const Context& ctx) const
5049 TestCaseGroup* group = new TestCaseGroup(ctx.testContext,
5050 ctx.name.c_str(), ctx.name.c_str());
5052 group->addChild(createFuncCase(ctx, "scalar", m_funcs.func));
5053 group->addChild(createFuncCase(ctx, "vec2", m_funcs.func2));
5054 group->addChild(createFuncCase(ctx, "vec3", m_funcs.func3));
5055 group->addChild(createFuncCase(ctx, "vec4", m_funcs.func4));
5057 return MovePtr<TestNode>(group);
5060 string getName (void) const
5065 string getDesc (void) const
5067 return "Function '" + m_funcs.func.getName() + "'";
5071 const GenFuncs<Sig> m_funcs;
5075 template <template <int> class GenF>
5076 class TemplateFuncCaseFactory : public FuncCaseFactory
5079 MovePtr<TestNode> createCase (const Context& ctx) const
5081 TestCaseGroup* group = new TestCaseGroup(ctx.testContext,
5082 ctx.name.c_str(), ctx.name.c_str());
5083 group->addChild(createFuncCase(ctx, "scalar", instance<GenF<1> >()));
5084 group->addChild(createFuncCase(ctx, "vec2", instance<GenF<2> >()));
5085 group->addChild(createFuncCase(ctx, "vec3", instance<GenF<3> >()));
5086 group->addChild(createFuncCase(ctx, "vec4", instance<GenF<4> >()));
5088 return MovePtr<TestNode>(group);
5091 const FuncBase& getFunc (void) const { return instance<GenF<1> >(); }
5094 template <template <int> class GenF>
5095 class SquareMatrixFuncCaseFactory : public FuncCaseFactory
5098 MovePtr<TestNode> createCase (const Context& ctx) const
5100 TestCaseGroup* group = new TestCaseGroup(ctx.testContext,
5101 ctx.name.c_str(), ctx.name.c_str());
5102 group->addChild(createFuncCase(ctx, "mat2", instance<GenF<2> >()));
5104 // disabled until we get reasonable results
5105 group->addChild(createFuncCase(ctx, "mat3", instance<GenF<3> >()));
5106 group->addChild(createFuncCase(ctx, "mat4", instance<GenF<4> >()));
5109 return MovePtr<TestNode>(group);
5112 const FuncBase& getFunc (void) const { return instance<GenF<2> >(); }
5115 template <template <int, int> class GenF>
5116 class MatrixFuncCaseFactory : public FuncCaseFactory
5119 MovePtr<TestNode> createCase (const Context& ctx) const
5121 TestCaseGroup* const group = new TestCaseGroup(ctx.testContext,
5122 ctx.name.c_str(), ctx.name.c_str());
5124 this->addCase<2, 2>(ctx, group);
5125 this->addCase<3, 2>(ctx, group);
5126 this->addCase<4, 2>(ctx, group);
5127 this->addCase<2, 3>(ctx, group);
5128 this->addCase<3, 3>(ctx, group);
5129 this->addCase<4, 3>(ctx, group);
5130 this->addCase<2, 4>(ctx, group);
5131 this->addCase<3, 4>(ctx, group);
5132 this->addCase<4, 4>(ctx, group);
5134 return MovePtr<TestNode>(group);
5137 const FuncBase& getFunc (void) const { return instance<GenF<2,2> >(); }
5140 template <int Rows, int Cols>
5141 void addCase (const Context& ctx, TestCaseGroup* group) const
5143 const char* const name = dataTypeNameOf<Matrix<float, Rows, Cols> >();
5145 group->addChild(createFuncCase(ctx, name, instance<GenF<Rows, Cols> >()));
5149 template <typename Sig>
5150 class SimpleFuncCaseFactory : public CaseFactory
5153 SimpleFuncCaseFactory (const Func<Sig>& func) : m_func(func) {}
5155 MovePtr<TestNode> createCase (const Context& ctx) const
5157 return MovePtr<TestNode>(createFuncCase(ctx, ctx.name.c_str(), m_func));
5160 string getName (void) const
5162 return de::toLower(m_func.getName());
5165 string getDesc (void) const
5167 return "Function '" + getName() + "'";
5171 const Func<Sig>& m_func;
5174 template <typename F>
5175 SharedPtr<SimpleFuncCaseFactory<typename F::Sig> > createSimpleFuncCaseFactory (void)
5177 return SharedPtr<SimpleFuncCaseFactory<typename F::Sig> >(
5178 new SimpleFuncCaseFactory<typename F::Sig>(instance<F>()));
5181 class BuiltinFuncs : public CaseFactories
5184 const vector<const CaseFactory*> getFactories (void) const
5186 vector<const CaseFactory*> ret;
5188 for (size_t ndx = 0; ndx < m_factories.size(); ++ndx)
5189 ret.push_back(m_factories[ndx].get());
5194 void addFactory (SharedPtr<const CaseFactory> fact)
5196 m_factories.push_back(fact);
5200 vector<SharedPtr<const CaseFactory> > m_factories;
5203 template <typename F>
5204 void addScalarFactory(BuiltinFuncs& funcs, string name = "")
5207 name = instance<F>().getName();
5209 funcs.addFactory(SharedPtr<const CaseFactory>(new GenFuncCaseFactory<typename F::Sig>(
5210 makeVectorizedFuncs<F>(), name)));
5213 MovePtr<const CaseFactories> createES3BuiltinCases (void)
5215 MovePtr<BuiltinFuncs> funcs (new BuiltinFuncs());
5217 addScalarFactory<Add>(*funcs);
5218 addScalarFactory<Sub>(*funcs);
5219 addScalarFactory<Mul>(*funcs);
5220 addScalarFactory<Div>(*funcs);
5222 addScalarFactory<Radians>(*funcs);
5223 addScalarFactory<Degrees>(*funcs);
5224 addScalarFactory<Sin>(*funcs);
5225 addScalarFactory<Cos>(*funcs);
5226 addScalarFactory<Tan>(*funcs);
5227 addScalarFactory<ASin>(*funcs);
5228 addScalarFactory<ACos>(*funcs);
5229 addScalarFactory<ATan2>(*funcs, "atan2");
5230 addScalarFactory<ATan>(*funcs);
5231 addScalarFactory<Sinh>(*funcs);
5232 addScalarFactory<Cosh>(*funcs);
5233 addScalarFactory<Tanh>(*funcs);
5234 addScalarFactory<ASinh>(*funcs);
5235 addScalarFactory<ACosh>(*funcs);
5236 addScalarFactory<ATanh>(*funcs);
5238 addScalarFactory<Pow>(*funcs);
5239 addScalarFactory<Exp>(*funcs);
5240 addScalarFactory<Log>(*funcs);
5241 addScalarFactory<Exp2>(*funcs);
5242 addScalarFactory<Log2>(*funcs);
5243 addScalarFactory<Sqrt>(*funcs);
5244 addScalarFactory<InverseSqrt>(*funcs);
5246 addScalarFactory<Abs>(*funcs);
5247 addScalarFactory<Sign>(*funcs);
5248 addScalarFactory<Floor>(*funcs);
5249 addScalarFactory<Trunc>(*funcs);
5250 addScalarFactory<Round>(*funcs);
5251 addScalarFactory<RoundEven>(*funcs);
5252 addScalarFactory<Ceil>(*funcs);
5253 addScalarFactory<Fract>(*funcs);
5254 addScalarFactory<Mod>(*funcs);
5255 funcs->addFactory(createSimpleFuncCaseFactory<Modf>());
5256 addScalarFactory<Min>(*funcs);
5257 addScalarFactory<Max>(*funcs);
5258 addScalarFactory<Clamp>(*funcs);
5259 addScalarFactory<Mix>(*funcs);
5260 addScalarFactory<Step>(*funcs);
5261 addScalarFactory<SmoothStep>(*funcs);
5263 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Length>()));
5264 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Distance>()));
5265 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Dot>()));
5266 funcs->addFactory(createSimpleFuncCaseFactory<Cross>());
5267 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Normalize>()));
5268 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<FaceForward>()));
5269 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Reflect>()));
5270 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Refract>()));
5273 funcs->addFactory(SharedPtr<const CaseFactory>(new MatrixFuncCaseFactory<MatrixCompMult>()));
5274 funcs->addFactory(SharedPtr<const CaseFactory>(new MatrixFuncCaseFactory<OuterProduct>()));
5275 funcs->addFactory(SharedPtr<const CaseFactory>(new MatrixFuncCaseFactory<Transpose>()));
5276 funcs->addFactory(SharedPtr<const CaseFactory>(new SquareMatrixFuncCaseFactory<Determinant>()));
5277 funcs->addFactory(SharedPtr<const CaseFactory>(new SquareMatrixFuncCaseFactory<Inverse>()));
5279 return MovePtr<const CaseFactories>(funcs.release());
5282 MovePtr<const CaseFactories> createES31BuiltinCases (void)
5284 MovePtr<BuiltinFuncs> funcs (new BuiltinFuncs());
5286 addScalarFactory<FrExp>(*funcs);
5287 addScalarFactory<LdExp>(*funcs);
5288 addScalarFactory<Fma>(*funcs);
5290 return MovePtr<const CaseFactories>(funcs.release());
5293 struct PrecisionTestContext
5295 PrecisionTestContext (TestContext& testCtx_,
5296 RenderContext& renderCtx_,
5297 const FloatFormat& highp_,
5298 const FloatFormat& mediump_,
5299 const FloatFormat& lowp_,
5300 const vector<ShaderType>& shaderTypes_,
5302 : testCtx (testCtx_)
5303 , renderCtx (renderCtx_)
5304 , shaderTypes (shaderTypes_)
5305 , numRandoms (numRandoms_)
5307 formats[glu::PRECISION_HIGHP] = &highp_;
5308 formats[glu::PRECISION_MEDIUMP] = &mediump_;
5309 formats[glu::PRECISION_LOWP] = &lowp_;
5312 TestContext& testCtx;
5313 RenderContext& renderCtx;
5314 const FloatFormat* formats[glu::PRECISION_LAST];
5315 vector<ShaderType> shaderTypes;
5319 TestCaseGroup* createFuncGroup (const PrecisionTestContext& ctx,
5320 const CaseFactory& factory)
5322 TestCaseGroup* const group = new TestCaseGroup(ctx.testCtx,
5323 factory.getName().c_str(),
5324 factory.getDesc().c_str());
5326 for (int precNdx = 0; precNdx < glu::PRECISION_LAST; ++precNdx)
5328 const Precision precision = Precision(precNdx);
5329 const string precName (glu::getPrecisionName(precision));
5330 const FloatFormat& fmt = *de::getSizedArrayElement<glu::PRECISION_LAST>(ctx.formats, precNdx);
5331 const FloatFormat& highpFmt = *de::getSizedArrayElement<glu::PRECISION_LAST>(ctx.formats,
5332 glu::PRECISION_HIGHP);
5334 for (size_t shaderNdx = 0; shaderNdx < ctx.shaderTypes.size(); ++shaderNdx)
5336 const ShaderType shaderType = ctx.shaderTypes[shaderNdx];
5337 const string shaderName (glu::getShaderTypeName(shaderType));
5338 const string name = precName + "_" + shaderName;
5339 const Context caseCtx (name, ctx.testCtx, ctx.renderCtx, fmt, highpFmt,
5340 precision, shaderType, ctx.numRandoms);
5342 group->addChild(factory.createCase(caseCtx).release());
5349 void addBuiltinPrecisionTests (TestContext& testCtx,
5350 RenderContext& renderCtx,
5351 const CaseFactories& cases,
5352 const vector<ShaderType>& shaderTypes,
5353 TestCaseGroup& dstGroup)
5355 const int userRandoms = testCtx.getCommandLine().getTestIterationCount();
5356 const int defRandoms = 16384;
5357 const int numRandoms = userRandoms > 0 ? userRandoms : defRandoms;
5358 const FloatFormat highp (-126, 127, 23, true,
5359 tcu::MAYBE, // subnormals
5360 tcu::YES, // infinities
5362 // \todo [2014-04-01 lauri] Check these once Khronos bug 11840 is resolved.
5363 const FloatFormat mediump (-13, 13, 9, false);
5364 // A fixed-point format is just a floating point format with a fixed
5365 // exponent and support for subnormals.
5366 const FloatFormat lowp (0, 0, 7, false, tcu::YES);
5367 const PrecisionTestContext ctx (testCtx, renderCtx, highp, mediump, lowp,
5368 shaderTypes, numRandoms);
5370 for (size_t ndx = 0; ndx < cases.getFactories().size(); ++ndx)
5371 dstGroup.addChild(createFuncGroup(ctx, *cases.getFactories()[ndx]));
5374 } // BuiltinPrecisionTests