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(),
1089 const T1& e1 = T1(),
1090 const T2& e2 = T2(),
1091 const T3& e3 = T3())
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> > \
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> > \
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> > \
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);
3077 class Reflect : public DerivedFunc<
3078 Signature<typename ContainerOf<float, Size>::Container,
3079 typename ContainerOf<float, Size>::Container,
3080 typename ContainerOf<float, Size>::Container> >
3083 typedef typename Reflect::Ret Ret;
3084 typedef typename Reflect::Arg0 Arg0;
3085 typedef typename Reflect::Arg1 Arg1;
3086 typedef typename Reflect::ArgExprs ArgExprs;
3088 string getName (void) const
3094 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3096 const ExprP<Arg0>& i = args.a;
3097 const ExprP<Arg1>& n = args.b;
3098 const ExprP<float> dotNI = bindExpression("dotNI", ctx, dot(n, i));
3100 return i - alternatives((n * dotNI) * constant(2.0f),
3101 n * (dotNI * constant(2.0f)));
3106 class Refract : public DerivedFunc<
3107 Signature<typename ContainerOf<float, Size>::Container,
3108 typename ContainerOf<float, Size>::Container,
3109 typename ContainerOf<float, Size>::Container,
3113 typedef typename Refract::Ret Ret;
3114 typedef typename Refract::Arg0 Arg0;
3115 typedef typename Refract::Arg1 Arg1;
3116 typedef typename Refract::ArgExprs ArgExprs;
3118 string getName (void) const
3124 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3126 const ExprP<Arg0>& i = args.a;
3127 const ExprP<Arg1>& n = args.b;
3128 const ExprP<float>& eta = args.c;
3129 const ExprP<float> dotNI = bindExpression("dotNI", ctx, dot(n, i));
3130 const ExprP<float> k = bindExpression("k", ctx, constant(1.0f) - eta * eta *
3131 (constant(1.0f) - dotNI * dotNI));
3133 return cond(k < constant(0.0f),
3134 genXType<float, Size>(constant(0.0f)),
3135 i * eta - n * (eta * dotNI + sqrt(k)));
3139 class PreciseFunc1 : public CFloatFunc1
3142 PreciseFunc1 (const string& name, DoubleFunc1& func) : CFloatFunc1(name, func) {}
3144 double precision (const EvalContext&, double, double) const { return 0.0; }
3147 class Abs : public PreciseFunc1
3150 Abs (void) : PreciseFunc1("abs", deAbs) {}
3153 class Sign : public PreciseFunc1
3156 Sign (void) : PreciseFunc1("sign", deSign) {}
3159 class Floor : public PreciseFunc1
3162 Floor (void) : PreciseFunc1("floor", deFloor) {}
3165 class Trunc : public PreciseFunc1
3168 Trunc (void) : PreciseFunc1("trunc", deTrunc) {}
3171 class Round : public FloatFunc1
3174 string getName (void) const { return "round"; }
3177 Interval applyPoint (const EvalContext&, double x) const
3179 double truncated = 0.0;
3180 const double fract = deModf(x, &truncated);
3183 if (fabs(fract) <= 0.5)
3185 if (fabs(fract) >= 0.5)
3186 ret |= truncated + deSign(fract);
3191 double precision (const EvalContext&, double, double) const { return 0.0; }
3194 class RoundEven : public PreciseFunc1
3197 RoundEven (void) : PreciseFunc1("roundEven", deRoundEven) {}
3200 class Ceil : public PreciseFunc1
3203 Ceil (void) : PreciseFunc1("ceil", deCeil) {}
3206 DEFINE_DERIVED_FLOAT1(Fract, fract, x, x - app<Floor>(x));
3208 class PreciseFunc2 : public CFloatFunc2
3211 PreciseFunc2 (const string& name, DoubleFunc2& func) : CFloatFunc2(name, func) {}
3213 double precision (const EvalContext&, double, double, double) const { return 0.0; }
3216 DEFINE_DERIVED_FLOAT2(Mod, mod, x, y, x - y * app<Floor>(x / y));
3218 class Modf : public PrimitiveFunc<Signature<float, float, float> >
3221 string getName (void) const
3227 IRet doApply (const EvalContext&, const IArgs& iargs) const
3230 Interval& wholeIV = const_cast<Interval&>(iargs.b);
3233 TCU_INTERVAL_APPLY_MONOTONE1(fracIV, x, iargs.a, frac, frac = deModf(x, &intPart));
3234 TCU_INTERVAL_APPLY_MONOTONE1(wholeIV, x, iargs.a, whole,
3235 deModf(x, &intPart); whole = intPart);
3237 if (!iargs.a.isFinite())
3239 // Behavior on modf(Inf) not well-defined, allow anything as a fractional part
3240 // See Khronos bug 13907
3247 int getOutParamIndex (void) const
3253 class Min : public PreciseFunc2 { public: Min (void) : PreciseFunc2("min", deMin) {} };
3254 class Max : public PreciseFunc2 { public: Max (void) : PreciseFunc2("max", deMax) {} };
3256 class Clamp : public FloatFunc3
3259 string getName (void) const { return "clamp"; }
3261 double applyExact (double x, double minVal, double maxVal) const
3263 return de::min(de::max(x, minVal), maxVal);
3266 double precision (const EvalContext&, double, double, double minVal, double maxVal) const
3268 return minVal > maxVal ? TCU_NAN : 0.0;
3272 ExprP<float> clamp(const ExprP<float>& x, const ExprP<float>& minVal, const ExprP<float>& maxVal)
3274 return app<Clamp>(x, minVal, maxVal);
3277 DEFINE_DERIVED_FLOAT3(Mix, mix, x, y, a, alternatives((x * (constant(1.0f) - a)) + y * a,
3280 static double step (double edge, double x)
3282 return x < edge ? 0.0 : 1.0;
3285 class Step : public PreciseFunc2 { public: Step (void) : PreciseFunc2("step", step) {} };
3287 class SmoothStep : public DerivedFunc<Signature<float, float, float, float> >
3290 string getName (void) const
3292 return "smoothstep";
3297 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3299 const ExprP<float>& edge0 = args.a;
3300 const ExprP<float>& edge1 = args.b;
3301 const ExprP<float>& x = args.c;
3302 const ExprP<float> tExpr = clamp((x - edge0) / (edge1 - edge0),
3303 constant(0.0f), constant(1.0f));
3304 const ExprP<float> t = bindExpression("t", ctx, tExpr);
3306 return (t * t * (constant(3.0f) - constant(2.0f) * t));
3310 class FrExp : public PrimitiveFunc<Signature<float, float, int> >
3313 string getName (void) const
3319 IRet doApply (const EvalContext&, const IArgs& iargs) const
3322 const IArg0& x = iargs.a;
3323 IArg1& exponent = const_cast<IArg1&>(iargs.b);
3325 if (x.hasNaN() || x.contains(TCU_INFINITY) || x.contains(-TCU_INFINITY))
3327 // GLSL (in contrast to IEEE) says that result of applying frexp
3328 // to infinity is undefined
3329 ret = Interval::unbounded() | TCU_NAN;
3330 exponent = Interval(-deLdExp(1.0, 31), deLdExp(1.0, 31)-1);
3332 else if (!x.empty())
3335 const double loFrac = deFrExp(x.lo(), &loExp);
3337 const double hiFrac = deFrExp(x.hi(), &hiExp);
3339 if (deSign(loFrac) != deSign(hiFrac))
3341 exponent = Interval(-TCU_INFINITY, de::max(loExp, hiExp));
3343 if (deSign(loFrac) < 0)
3344 ret |= Interval(-1.0 + DBL_EPSILON*0.5, 0.0);
3345 if (deSign(hiFrac) > 0)
3346 ret |= Interval(0.0, 1.0 - DBL_EPSILON*0.5);
3350 exponent = Interval(loExp, hiExp);
3352 ret = Interval(loFrac, hiFrac);
3354 ret = deSign(loFrac) * Interval(0.5, 1.0 - DBL_EPSILON*0.5);
3361 int getOutParamIndex (void) const
3367 class LdExp : public PrimitiveFunc<Signature<float, float, int> >
3370 string getName (void) const
3376 Interval doApply (const EvalContext& ctx, const IArgs& iargs) const
3378 Interval ret = call<Exp2>(ctx, iargs.b);
3379 // Khronos bug 11180 consensus: if exp2(exponent) cannot be represented,
3380 // the result is undefined.
3382 if (ret.contains(TCU_INFINITY) | ret.contains(-TCU_INFINITY))
3385 return call<Mul>(ctx, iargs.a, ret);
3389 template<int Rows, int Columns>
3390 class Transpose : public PrimitiveFunc<Signature<Matrix<float, Rows, Columns>,
3391 Matrix<float, Columns, Rows> > >
3394 typedef typename Transpose::IRet IRet;
3395 typedef typename Transpose::IArgs IArgs;
3397 string getName (void) const
3403 IRet doApply (const EvalContext&, const IArgs& iargs) const
3407 for (int rowNdx = 0; rowNdx < Rows; ++rowNdx)
3409 for (int colNdx = 0; colNdx < Columns; ++colNdx)
3410 ret(rowNdx, colNdx) = iargs.a(colNdx, rowNdx);
3417 template<typename Ret, typename Arg0, typename Arg1>
3418 class MulFunc : public PrimitiveFunc<Signature<Ret, Arg0, Arg1> >
3421 string getName (void) const { return "mul"; }
3424 void doPrint (ostream& os, const BaseArgExprs& args) const
3426 os << "(" << *args[0] << " * " << *args[1] << ")";
3430 template<int LeftRows, int Middle, int RightCols>
3431 class MatMul : public MulFunc<Matrix<float, LeftRows, RightCols>,
3432 Matrix<float, LeftRows, Middle>,
3433 Matrix<float, Middle, RightCols> >
3436 typedef typename MatMul::IRet IRet;
3437 typedef typename MatMul::IArgs IArgs;
3438 typedef typename MatMul::IArg0 IArg0;
3439 typedef typename MatMul::IArg1 IArg1;
3441 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3443 const IArg0& left = iargs.a;
3444 const IArg1& right = iargs.b;
3447 for (int row = 0; row < LeftRows; ++row)
3449 for (int col = 0; col < RightCols; ++col)
3451 Interval element (0.0);
3453 for (int ndx = 0; ndx < Middle; ++ndx)
3454 element = call<Add>(ctx, element,
3455 call<Mul>(ctx, left[ndx][row], right[col][ndx]));
3457 ret[col][row] = element;
3465 template<int Rows, int Cols>
3466 class VecMatMul : public MulFunc<Vector<float, Cols>,
3467 Vector<float, Rows>,
3468 Matrix<float, Rows, Cols> >
3471 typedef typename VecMatMul::IRet IRet;
3472 typedef typename VecMatMul::IArgs IArgs;
3473 typedef typename VecMatMul::IArg0 IArg0;
3474 typedef typename VecMatMul::IArg1 IArg1;
3477 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3479 const IArg0& left = iargs.a;
3480 const IArg1& right = iargs.b;
3483 for (int col = 0; col < Cols; ++col)
3485 Interval element (0.0);
3487 for (int row = 0; row < Rows; ++row)
3488 element = call<Add>(ctx, element, call<Mul>(ctx, left[row], right[col][row]));
3497 template<int Rows, int Cols>
3498 class MatVecMul : public MulFunc<Vector<float, Rows>,
3499 Matrix<float, Rows, Cols>,
3500 Vector<float, Cols> >
3503 typedef typename MatVecMul::IRet IRet;
3504 typedef typename MatVecMul::IArgs IArgs;
3505 typedef typename MatVecMul::IArg0 IArg0;
3506 typedef typename MatVecMul::IArg1 IArg1;
3509 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3511 const IArg0& left = iargs.a;
3512 const IArg1& right = iargs.b;
3514 return call<VecMatMul<Cols, Rows> >(ctx, right,
3515 call<Transpose<Rows, Cols> >(ctx, left));
3519 template<int Rows, int Cols>
3520 class OuterProduct : public PrimitiveFunc<Signature<Matrix<float, Rows, Cols>,
3521 Vector<float, Rows>,
3522 Vector<float, Cols> > >
3525 typedef typename OuterProduct::IRet IRet;
3526 typedef typename OuterProduct::IArgs IArgs;
3528 string getName (void) const
3530 return "outerProduct";
3534 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3538 for (int row = 0; row < Rows; ++row)
3540 for (int col = 0; col < Cols; ++col)
3541 ret[col][row] = call<Mul>(ctx, iargs.a[row], iargs.b[col]);
3548 template<int Rows, int Cols>
3549 ExprP<Matrix<float, Rows, Cols> > outerProduct (const ExprP<Vector<float, Rows> >& left,
3550 const ExprP<Vector<float, Cols> >& right)
3552 return app<OuterProduct<Rows, Cols> >(left, right);
3556 class DeterminantBase : public DerivedFunc<Signature<float, Matrix<float, Size, Size> > >
3559 string getName (void) const { return "determinant"; }
3566 ExprP<float> determinant (ExprP<Matrix<float, Size, Size> > mat)
3568 return app<Determinant<Size> >(mat);
3572 class Determinant<2> : public DeterminantBase<2>
3575 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3577 ExprP<Mat2> mat = args.a;
3579 return mat[0][0] * mat[1][1] - mat[1][0] * mat[0][1];
3584 class Determinant<3> : public DeterminantBase<3>
3587 ExprP<Ret> doExpand (ExpandContext&, const ArgExprs& args) const
3589 ExprP<Mat3> mat = args.a;
3591 return (mat[0][0] * (mat[1][1] * mat[2][2] - mat[1][2] * mat[2][1]) +
3592 mat[0][1] * (mat[1][2] * mat[2][0] - mat[1][0] * mat[2][2]) +
3593 mat[0][2] * (mat[1][0] * mat[2][1] - mat[1][1] * mat[2][0]));
3598 class Determinant<4> : public DeterminantBase<4>
3601 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3603 ExprP<Mat4> mat = args.a;
3604 ExprP<Mat3> minors[4];
3606 for (int ndx = 0; ndx < 4; ++ndx)
3608 ExprP<Vec4> minorColumns[3];
3609 ExprP<Vec3> columns[3];
3611 for (int col = 0; col < 3; ++col)
3612 minorColumns[col] = mat[col < ndx ? col : col + 1];
3614 for (int col = 0; col < 3; ++col)
3615 columns[col] = vec3(minorColumns[0][col+1],
3616 minorColumns[1][col+1],
3617 minorColumns[2][col+1]);
3619 minors[ndx] = bindExpression("minor", ctx,
3620 mat3(columns[0], columns[1], columns[2]));
3623 return (mat[0][0] * determinant(minors[0]) -
3624 mat[1][0] * determinant(minors[1]) +
3625 mat[2][0] * determinant(minors[2]) -
3626 mat[3][0] * determinant(minors[3]));
3630 template<int Size> class Inverse;
3633 ExprP<Matrix<float, Size, Size> > inverse (ExprP<Matrix<float, Size, Size> > mat)
3635 return app<Inverse<Size> >(mat);
3639 class Inverse<2> : public DerivedFunc<Signature<Mat2, Mat2> >
3642 string getName (void) const
3648 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3650 ExprP<Mat2> mat = args.a;
3651 ExprP<float> det = bindExpression("det", ctx, determinant(mat));
3653 return mat2(vec2(mat[1][1] / det, -mat[0][1] / det),
3654 vec2(-mat[1][0] / det, mat[0][0] / det));
3659 class Inverse<3> : public DerivedFunc<Signature<Mat3, Mat3> >
3662 string getName (void) const
3668 ExprP<Ret> doExpand (ExpandContext& ctx, const ArgExprs& args) const
3670 ExprP<Mat3> mat = args.a;
3671 ExprP<Mat2> invA = bindExpression("invA", ctx,
3672 inverse(mat2(vec2(mat[0][0], mat[0][1]),
3673 vec2(mat[1][0], mat[1][1]))));
3675 ExprP<Vec2> matB = bindExpression("matB", ctx, vec2(mat[2][0], mat[2][1]));
3676 ExprP<Vec2> matC = bindExpression("matC", ctx, vec2(mat[0][2], mat[1][2]));
3677 ExprP<float> matD = bindExpression("matD", ctx, mat[2][2]);
3679 ExprP<float> schur = bindExpression("schur", ctx,
3681 (matD - dot(matC * invA, matB)));
3683 ExprP<Vec2> t1 = invA * matB;
3684 ExprP<Vec2> t2 = t1 * schur;
3685 ExprP<Mat2> t3 = outerProduct(t2, matC);
3686 ExprP<Mat2> t4 = t3 * invA;
3687 ExprP<Mat2> t5 = invA + t4;
3688 ExprP<Mat2> blockA = bindExpression("blockA", ctx, t5);
3689 ExprP<Vec2> blockB = bindExpression("blockB", ctx,
3690 (invA * matB) * -schur);
3691 ExprP<Vec2> blockC = bindExpression("blockC", ctx,
3692 (matC * invA) * -schur);
3694 return mat3(vec3(blockA[0][0], blockA[0][1], blockC[0]),
3695 vec3(blockA[1][0], blockA[1][1], blockC[1]),
3696 vec3(blockB[0], blockB[1], schur));
3701 class Inverse<4> : public DerivedFunc<Signature<Mat4, Mat4> >
3704 string getName (void) const { return "inverse"; }
3707 ExprP<Ret> doExpand (ExpandContext& ctx,
3708 const ArgExprs& args) const
3710 ExprP<Mat4> mat = args.a;
3711 ExprP<Mat2> invA = bindExpression("invA", ctx,
3712 inverse(mat2(vec2(mat[0][0], mat[0][1]),
3713 vec2(mat[1][0], mat[1][1]))));
3714 ExprP<Mat2> matB = bindExpression("matB", ctx,
3715 mat2(vec2(mat[2][0], mat[2][1]),
3716 vec2(mat[3][0], mat[3][1])));
3717 ExprP<Mat2> matC = bindExpression("matC", ctx,
3718 mat2(vec2(mat[0][2], mat[0][3]),
3719 vec2(mat[1][2], mat[1][3])));
3720 ExprP<Mat2> matD = bindExpression("matD", ctx,
3721 mat2(vec2(mat[2][2], mat[2][3]),
3722 vec2(mat[3][2], mat[3][3])));
3723 ExprP<Mat2> schur = bindExpression("schur", ctx,
3724 inverse(matD + -(matC * invA * matB)));
3725 ExprP<Mat2> blockA = bindExpression("blockA", ctx,
3726 invA + (invA * matB * schur * matC * invA));
3727 ExprP<Mat2> blockB = bindExpression("blockB", ctx,
3728 (-invA) * matB * schur);
3729 ExprP<Mat2> blockC = bindExpression("blockC", ctx,
3730 (-schur) * matC * invA);
3732 return mat4(vec4(blockA[0][0], blockA[0][1], blockC[0][0], blockC[0][1]),
3733 vec4(blockA[1][0], blockA[1][1], blockC[1][0], blockC[1][1]),
3734 vec4(blockB[0][0], blockB[0][1], schur[0][0], schur[0][1]),
3735 vec4(blockB[1][0], blockB[1][1], schur[1][0], schur[1][1]));
3739 class Fma : public DerivedFunc<Signature<float, float, float, float> >
3742 string getName (void) const
3747 string getRequiredExtension (void) const
3749 return "GL_EXT_gpu_shader5";
3753 ExprP<float> doExpand (ExpandContext&, const ArgExprs& x) const
3755 return x.a * x.b + x.c;
3761 using namespace Functions;
3763 template <typename T>
3764 ExprP<typename T::Element> ContainerExprPBase<T>::operator[] (int i) const
3766 return Functions::getComponent(exprP<T>(*this), i);
3769 ExprP<float> operator+ (const ExprP<float>& arg0, const ExprP<float>& arg1)
3771 return app<Add>(arg0, arg1);
3774 ExprP<float> operator- (const ExprP<float>& arg0, const ExprP<float>& arg1)
3776 return app<Sub>(arg0, arg1);
3779 ExprP<float> operator- (const ExprP<float>& arg0)
3781 return app<Negate>(arg0);
3784 ExprP<float> operator* (const ExprP<float>& arg0, const ExprP<float>& arg1)
3786 return app<Mul>(arg0, arg1);
3789 ExprP<float> operator/ (const ExprP<float>& arg0, const ExprP<float>& arg1)
3791 return app<Div>(arg0, arg1);
3794 template <typename Sig_, int Size>
3795 class GenFunc : public PrimitiveFunc<Signature<
3796 typename ContainerOf<typename Sig_::Ret, Size>::Container,
3797 typename ContainerOf<typename Sig_::Arg0, Size>::Container,
3798 typename ContainerOf<typename Sig_::Arg1, Size>::Container,
3799 typename ContainerOf<typename Sig_::Arg2, Size>::Container,
3800 typename ContainerOf<typename Sig_::Arg3, Size>::Container> >
3803 typedef typename GenFunc::IArgs IArgs;
3804 typedef typename GenFunc::IRet IRet;
3806 GenFunc (const Func<Sig_>& scalarFunc) : m_func (scalarFunc) {}
3808 string getName (void) const
3810 return m_func.getName();
3813 int getOutParamIndex (void) const
3815 return m_func.getOutParamIndex();
3818 string getRequiredExtension (void) const
3820 return m_func.getRequiredExtension();
3824 void doPrint (ostream& os, const BaseArgExprs& args) const
3826 m_func.print(os, args);
3829 IRet doApply (const EvalContext& ctx, const IArgs& iargs) const
3833 for (int ndx = 0; ndx < Size; ++ndx)
3836 m_func.apply(ctx, iargs.a[ndx], iargs.b[ndx], iargs.c[ndx], iargs.d[ndx]);
3842 void doGetUsedFuncs (FuncSet& dst) const
3844 m_func.getUsedFuncs(dst);
3847 const Func<Sig_>& m_func;
3850 template <typename F, int Size>
3851 class VectorizedFunc : public GenFunc<typename F::Sig, Size>
3854 VectorizedFunc (void) : GenFunc<typename F::Sig, Size>(instance<F>()) {}
3859 template <typename Sig_, int Size>
3860 class FixedGenFunc : public PrimitiveFunc <Signature<
3861 typename ContainerOf<typename Sig_::Ret, Size>::Container,
3862 typename ContainerOf<typename Sig_::Arg0, Size>::Container,
3863 typename Sig_::Arg1,
3864 typename ContainerOf<typename Sig_::Arg2, Size>::Container,
3865 typename ContainerOf<typename Sig_::Arg3, Size>::Container> >
3868 typedef typename FixedGenFunc::IArgs IArgs;
3869 typedef typename FixedGenFunc::IRet IRet;
3871 string getName (void) const
3873 return this->doGetScalarFunc().getName();
3877 void doPrint (ostream& os, const BaseArgExprs& args) const
3879 this->doGetScalarFunc().print(os, args);
3882 IRet doApply (const EvalContext& ctx,
3883 const IArgs& iargs) const
3886 const Func<Sig_>& func = this->doGetScalarFunc();
3888 for (int ndx = 0; ndx < Size; ++ndx)
3889 ret[ndx] = func.apply(ctx, iargs.a[ndx], iargs.b, iargs.c[ndx], iargs.d[ndx]);
3894 virtual const Func<Sig_>& doGetScalarFunc (void) const = 0;
3897 template <typename F, int Size>
3898 class FixedVecFunc : public FixedGenFunc<typename F::Sig, Size>
3901 const Func<typename F::Sig>& doGetScalarFunc (void) const { return instance<F>(); }
3904 template<typename Sig>
3907 GenFuncs (const Func<Sig>& func_,
3908 const GenFunc<Sig, 2>& func2_,
3909 const GenFunc<Sig, 3>& func3_,
3910 const GenFunc<Sig, 4>& func4_)
3917 const Func<Sig>& func;
3918 const GenFunc<Sig, 2>& func2;
3919 const GenFunc<Sig, 3>& func3;
3920 const GenFunc<Sig, 4>& func4;
3923 template<typename F>
3924 GenFuncs<typename F::Sig> makeVectorizedFuncs (void)
3926 return GenFuncs<typename F::Sig>(instance<F>(),
3927 instance<VectorizedFunc<F, 2> >(),
3928 instance<VectorizedFunc<F, 3> >(),
3929 instance<VectorizedFunc<F, 4> >());
3933 ExprP<Vector<float, Size> > operator*(const ExprP<Vector<float, Size> >& arg0,
3934 const ExprP<Vector<float, Size> >& arg1)
3936 return app<VectorizedFunc<Mul, Size> >(arg0, arg1);
3940 ExprP<Vector<float, Size> > operator*(const ExprP<Vector<float, Size> >& arg0,
3941 const ExprP<float>& arg1)
3943 return app<FixedVecFunc<Mul, Size> >(arg0, arg1);
3947 ExprP<Vector<float, Size> > operator/(const ExprP<Vector<float, Size> >& arg0,
3948 const ExprP<float>& arg1)
3950 return app<FixedVecFunc<Div, Size> >(arg0, arg1);
3954 ExprP<Vector<float, Size> > operator-(const ExprP<Vector<float, Size> >& arg0)
3956 return app<VectorizedFunc<Negate, Size> >(arg0);
3960 ExprP<Vector<float, Size> > operator-(const ExprP<Vector<float, Size> >& arg0,
3961 const ExprP<Vector<float, Size> >& arg1)
3963 return app<VectorizedFunc<Sub, Size> >(arg0, arg1);
3966 template<int LeftRows, int Middle, int RightCols>
3967 ExprP<Matrix<float, LeftRows, RightCols> >
3968 operator* (const ExprP<Matrix<float, LeftRows, Middle> >& left,
3969 const ExprP<Matrix<float, Middle, RightCols> >& right)
3971 return app<MatMul<LeftRows, Middle, RightCols> >(left, right);
3974 template<int Rows, int Cols>
3975 ExprP<Vector<float, Rows> > operator* (const ExprP<Vector<float, Cols> >& left,
3976 const ExprP<Matrix<float, Rows, Cols> >& right)
3978 return app<VecMatMul<Rows, Cols> >(left, right);
3981 template<int Rows, int Cols>
3982 ExprP<Vector<float, Cols> > operator* (const ExprP<Matrix<float, Rows, Cols> >& left,
3983 const ExprP<Vector<float, Rows> >& right)
3985 return app<MatVecMul<Rows, Cols> >(left, right);
3988 template<int Rows, int Cols>
3989 ExprP<Matrix<float, Rows, Cols> > operator* (const ExprP<Matrix<float, Rows, Cols> >& left,
3990 const ExprP<float>& right)
3992 return app<ScalarMatFunc<Mul, Rows, Cols> >(left, right);
3995 template<int Rows, int Cols>
3996 ExprP<Matrix<float, Rows, Cols> > operator+ (const ExprP<Matrix<float, Rows, Cols> >& left,
3997 const ExprP<Matrix<float, Rows, Cols> >& right)
3999 return app<CompMatFunc<Add, Rows, Cols> >(left, right);
4002 template<int Rows, int Cols>
4003 ExprP<Matrix<float, Rows, Cols> > operator- (const ExprP<Matrix<float, Rows, Cols> >& mat)
4005 return app<MatNeg<Rows, Cols> >(mat);
4008 template <typename T>
4012 virtual void genFixeds (const FloatFormat&, vector<T>&) const {}
4013 virtual T genRandom (const FloatFormat&, Precision, Random&) const { return T(); }
4014 virtual double getWeight (void) const { return 0.0; }
4018 class DefaultSampling<Void> : public Sampling<Void>
4021 void genFixeds (const FloatFormat&, vector<Void>& dst) const { dst.push_back(Void()); }
4025 class DefaultSampling<bool> : public Sampling<bool>
4028 void genFixeds (const FloatFormat&, vector<bool>& dst) const
4030 dst.push_back(true);
4031 dst.push_back(false);
4036 class DefaultSampling<int> : public Sampling<int>
4039 int genRandom (const FloatFormat&, Precision prec, Random& rnd) const
4041 const int exp = rnd.getInt(0, getNumBits(prec)-2);
4042 const int sign = rnd.getBool() ? -1 : 1;
4044 return sign * rnd.getInt(0, (deInt32)1 << exp);
4047 void genFixeds (const FloatFormat&, vector<int>& dst) const
4053 double getWeight (void) const { return 1.0; }
4056 static inline int getNumBits (Precision prec)
4060 case glu::PRECISION_LOWP: return 8;
4061 case glu::PRECISION_MEDIUMP: return 16;
4062 case glu::PRECISION_HIGHP: return 32;
4071 class DefaultSampling<float> : public Sampling<float>
4074 float genRandom (const FloatFormat& format, Precision prec, Random& rnd) const;
4075 void genFixeds (const FloatFormat& format, vector<float>& dst) const;
4076 double getWeight (void) const { return 1.0; }
4079 //! Generate a random float from a reasonable general-purpose distribution.
4080 float DefaultSampling<float>::genRandom (const FloatFormat& format,
4084 const int minExp = format.getMinExp();
4085 const int maxExp = format.getMaxExp();
4086 const bool haveSubnormal = format.hasSubnormal() != tcu::NO;
4088 // Choose exponent so that the cumulative distribution is cubic.
4089 // This makes the probability distribution quadratic, with the peak centered on zero.
4090 const double minRoot = deCbrt(minExp - 0.5 - (haveSubnormal ? 1.0 : 0.0));
4091 const double maxRoot = deCbrt(maxExp + 0.5);
4092 const int fractionBits = format.getFractionBits();
4093 const int exp = int(deRoundEven(dePow(rnd.getDouble(minRoot, maxRoot),
4095 float base = 0.0f; // integral power of two
4096 float quantum = 0.0f; // smallest representable difference in the binade
4097 float significand = 0.0f; // Significand.
4099 DE_ASSERT(fractionBits < std::numeric_limits<float>::digits);
4101 // Generate some occasional special numbers
4102 switch (rnd.getInt(0, 64))
4105 case 1: return TCU_INFINITY;
4106 case 2: return -TCU_INFINITY;
4107 case 3: return TCU_NAN;
4114 base = deFloatLdExp(1.0f, exp);
4115 quantum = deFloatLdExp(1.0f, exp - fractionBits);
4121 quantum = deFloatLdExp(1.0f, minExp - fractionBits);
4124 switch (rnd.getInt(0, 16))
4126 case 0: // The highest number in this binade, significand is all bits one.
4127 significand = base - quantum;
4129 case 1: // Significand is one.
4130 significand = quantum;
4132 case 2: // Significand is zero.
4135 default: // Random (evenly distributed) significand.
4137 deUint64 intFraction = rnd.getUint64() & ((1 << fractionBits) - 1);
4138 significand = float(intFraction) * quantum;
4142 // Produce positive numbers more often than negative.
4143 return (rnd.getInt(0,3) == 0 ? -1.0f : 1.0f) * (base + significand);
4146 //! Generate a standard set of floats that should always be tested.
4147 void DefaultSampling<float>::genFixeds (const FloatFormat& format, vector<float>& dst) const
4149 const int minExp = format.getMinExp();
4150 const int maxExp = format.getMaxExp();
4151 const int fractionBits = format.getFractionBits();
4152 const float minQuantum = deFloatLdExp(1.0f, minExp - fractionBits);
4153 const float minNormalized = deFloatLdExp(1.0f, minExp);
4154 const float maxQuantum = deFloatLdExp(1.0f, maxExp - fractionBits);
4157 dst.push_back(TCU_NAN);
4159 dst.push_back(0.0f);
4161 for (int sign = -1; sign <= 1; sign += 2)
4163 // Smallest subnormal
4164 dst.push_back((float)sign * minQuantum);
4166 // Largest subnormal
4167 dst.push_back((float)sign * (minNormalized - minQuantum));
4169 // Smallest normalized
4170 dst.push_back((float)sign * minNormalized);
4172 // Next smallest normalized
4173 dst.push_back((float)sign * (minNormalized + minQuantum));
4175 dst.push_back((float)sign * 0.5f);
4176 dst.push_back((float)sign * 1.0f);
4177 dst.push_back((float)sign * 2.0f);
4180 dst.push_back((float)sign * (deFloatLdExp(1.0f, maxExp) +
4181 (deFloatLdExp(1.0f, maxExp) - maxQuantum)));
4183 dst.push_back((float)sign * TCU_INFINITY);
4187 template <typename T, int Size>
4188 class DefaultSampling<Vector<T, Size> > : public Sampling<Vector<T, Size> >
4191 typedef Vector<T, Size> Value;
4193 Value genRandom (const FloatFormat& fmt, Precision prec, Random& rnd) const
4197 for (int ndx = 0; ndx < Size; ++ndx)
4198 ret[ndx] = instance<DefaultSampling<T> >().genRandom(fmt, prec, rnd);
4203 void genFixeds (const FloatFormat& fmt, vector<Value>& dst) const
4207 instance<DefaultSampling<T> >().genFixeds(fmt, scalars);
4209 for (size_t scalarNdx = 0; scalarNdx < scalars.size(); ++scalarNdx)
4210 dst.push_back(Value(scalars[scalarNdx]));
4213 double getWeight (void) const
4215 return dePow(instance<DefaultSampling<T> >().getWeight(), Size);
4219 template <typename T, int Rows, int Columns>
4220 class DefaultSampling<Matrix<T, Rows, Columns> > : public Sampling<Matrix<T, Rows, Columns> >
4223 typedef Matrix<T, Rows, Columns> Value;
4225 Value genRandom (const FloatFormat& fmt, Precision prec, Random& rnd) const
4229 for (int rowNdx = 0; rowNdx < Rows; ++rowNdx)
4230 for (int colNdx = 0; colNdx < Columns; ++colNdx)
4231 ret(rowNdx, colNdx) = instance<DefaultSampling<T> >().genRandom(fmt, prec, rnd);
4236 void genFixeds (const FloatFormat& fmt, vector<Value>& dst) const
4240 instance<DefaultSampling<T> >().genFixeds(fmt, scalars);
4242 for (size_t scalarNdx = 0; scalarNdx < scalars.size(); ++scalarNdx)
4243 dst.push_back(Value(scalars[scalarNdx]));
4245 if (Columns == Rows)
4250 for (int ndx = 0; ndx < Columns; ++ndx)
4252 mat[Columns-1-ndx][ndx] = x;
4259 double getWeight (void) const
4261 return dePow(instance<DefaultSampling<T> >().getWeight(), Rows * Columns);
4267 Context (const string& name_,
4268 TestContext& testContext_,
4269 RenderContext& renderContext_,
4270 const FloatFormat& floatFormat_,
4271 const FloatFormat& highpFormat_,
4272 Precision precision_,
4273 ShaderType shaderType_,
4276 , testContext (testContext_)
4277 , renderContext (renderContext_)
4278 , floatFormat (floatFormat_)
4279 , highpFormat (highpFormat_)
4280 , precision (precision_)
4281 , shaderType (shaderType_)
4282 , numRandoms (numRandoms_) {}
4285 TestContext& testContext;
4286 RenderContext& renderContext;
4287 FloatFormat floatFormat;
4288 FloatFormat highpFormat;
4289 Precision precision;
4290 ShaderType shaderType;
4294 template<typename In0_ = Void, typename In1_ = Void, typename In2_ = Void, typename In3_ = Void>
4303 template <typename In>
4304 int numInputs (void)
4306 return (!isTypeValid<typename In::In0>() ? 0 :
4307 !isTypeValid<typename In::In1>() ? 1 :
4308 !isTypeValid<typename In::In2>() ? 2 :
4309 !isTypeValid<typename In::In3>() ? 3 :
4313 template<typename Out0_, typename Out1_ = Void>
4320 template <typename Out>
4321 int numOutputs (void)
4323 return (!isTypeValid<typename Out::Out0>() ? 0 :
4324 !isTypeValid<typename Out::Out1>() ? 1 :
4328 template<typename In>
4331 vector<typename In::In0> in0;
4332 vector<typename In::In1> in1;
4333 vector<typename In::In2> in2;
4334 vector<typename In::In3> in3;
4337 template<typename Out>
4340 Outputs (size_t size) : out0(size), out1(size) {}
4342 vector<typename Out::Out0> out0;
4343 vector<typename Out::Out1> out1;
4346 template<typename In, typename Out>
4349 VariableP<typename In::In0> in0;
4350 VariableP<typename In::In1> in1;
4351 VariableP<typename In::In2> in2;
4352 VariableP<typename In::In3> in3;
4353 VariableP<typename Out::Out0> out0;
4354 VariableP<typename Out::Out1> out1;
4357 template<typename In>
4360 Samplings (const Sampling<typename In::In0>& in0_,
4361 const Sampling<typename In::In1>& in1_,
4362 const Sampling<typename In::In2>& in2_,
4363 const Sampling<typename In::In3>& in3_)
4364 : in0 (in0_), in1 (in1_), in2 (in2_), in3 (in3_) {}
4366 const Sampling<typename In::In0>& in0;
4367 const Sampling<typename In::In1>& in1;
4368 const Sampling<typename In::In2>& in2;
4369 const Sampling<typename In::In3>& in3;
4372 template<typename In>
4373 struct DefaultSamplings : Samplings<In>
4375 DefaultSamplings (void)
4376 : Samplings<In>(instance<DefaultSampling<typename In::In0> >(),
4377 instance<DefaultSampling<typename In::In1> >(),
4378 instance<DefaultSampling<typename In::In2> >(),
4379 instance<DefaultSampling<typename In::In3> >()) {}
4382 class PrecisionCase : public TestCase
4385 IterateResult iterate (void);
4388 PrecisionCase (const Context& context,
4390 const string& extension = "")
4391 : TestCase (context.testContext,
4396 , m_rnd (0xdeadbeefu +
4397 context.testContext.getCommandLine().getBaseSeed())
4398 , m_extension (extension)
4402 RenderContext& getRenderContext(void) const { return m_ctx.renderContext; }
4404 const FloatFormat& getFormat (void) const { return m_ctx.floatFormat; }
4406 TestLog& log (void) const { return m_testCtx.getLog(); }
4408 virtual void runTest (void) = 0;
4410 template <typename In, typename Out>
4411 void testStatement (const Variables<In, Out>& variables,
4412 const Inputs<In>& inputs,
4413 const Statement& stmt);
4415 template<typename T>
4416 Symbol makeSymbol (const Variable<T>& variable)
4418 return Symbol(variable.getName(), getVarTypeOf<T>(m_ctx.precision));
4422 ResultCollector m_status;
4424 const string m_extension;
4427 IterateResult PrecisionCase::iterate (void)
4430 m_status.setTestContextResult(m_testCtx);
4434 template <typename In, typename Out>
4435 void PrecisionCase::testStatement (const Variables<In, Out>& variables,
4436 const Inputs<In>& inputs,
4437 const Statement& stmt)
4439 using namespace ShaderExecUtil;
4441 typedef typename In::In0 In0;
4442 typedef typename In::In1 In1;
4443 typedef typename In::In2 In2;
4444 typedef typename In::In3 In3;
4445 typedef typename Out::Out0 Out0;
4446 typedef typename Out::Out1 Out1;
4448 const FloatFormat& fmt = getFormat();
4449 const int inCount = numInputs<In>();
4450 const int outCount = numOutputs<Out>();
4451 const size_t numValues = (inCount > 0) ? inputs.in0.size() : 1;
4452 Outputs<Out> outputs (numValues);
4454 const FloatFormat highpFmt = m_ctx.highpFormat;
4455 const int maxMsgs = 100;
4457 Environment env; // Hoisted out of the inner loop for optimization.
4461 case 4: DE_ASSERT(inputs.in3.size() == numValues);
4462 case 3: DE_ASSERT(inputs.in2.size() == numValues);
4463 case 2: DE_ASSERT(inputs.in1.size() == numValues);
4464 case 1: DE_ASSERT(inputs.in0.size() == numValues);
4468 // Print out the statement and its definitions
4469 log() << TestLog::Message << "Statement: " << stmt << TestLog::EndMessage;
4474 stmt.getUsedFuncs(funcs);
4475 for (FuncSet::const_iterator it = funcs.begin(); it != funcs.end(); ++it)
4477 (*it)->printDefinition(oss);
4480 log() << TestLog::Message << "Reference definitions:\n" << oss.str()
4481 << TestLog::EndMessage;
4484 // Initialize ShaderSpec from precision, variables and statement.
4487 os << "precision " << glu::getPrecisionName(m_ctx.precision) << " float;\n";
4488 spec.globalDeclarations = os.str();
4491 spec.version = getContextTypeGLSLVersion(getRenderContext().getType());
4493 if (!m_extension.empty())
4494 spec.globalDeclarations = "#extension " + m_extension + " : require\n";
4496 spec.inputs.resize(inCount);
4500 case 4: spec.inputs[3] = makeSymbol(*variables.in3);
4501 case 3: spec.inputs[2] = makeSymbol(*variables.in2);
4502 case 2: spec.inputs[1] = makeSymbol(*variables.in1);
4503 case 1: spec.inputs[0] = makeSymbol(*variables.in0);
4507 spec.outputs.resize(outCount);
4511 case 2: spec.outputs[1] = makeSymbol(*variables.out1);
4512 case 1: spec.outputs[0] = makeSymbol(*variables.out0);
4516 spec.source = de::toString(stmt);
4518 // Run the shader with inputs.
4520 UniquePtr<ShaderExecutor> executor (createExecutor(getRenderContext(),
4523 const void* inputArr[] =
4525 &inputs.in0.front(), &inputs.in1.front(), &inputs.in2.front(), &inputs.in3.front(),
4529 &outputs.out0.front(), &outputs.out1.front(),
4532 executor->log(log());
4533 if (!executor->isOk())
4534 TCU_FAIL("Shader compilation failed");
4536 executor->useProgram();
4537 executor->execute(int(numValues), inputArr, outputArr);
4540 // Initialize environment with dummy values so we don't need to bind in inner loop.
4542 const typename Traits<In0>::IVal in0;
4543 const typename Traits<In1>::IVal in1;
4544 const typename Traits<In2>::IVal in2;
4545 const typename Traits<In3>::IVal in3;
4546 const typename Traits<Out0>::IVal reference0;
4547 const typename Traits<Out1>::IVal reference1;
4549 env.bind(*variables.in0, in0);
4550 env.bind(*variables.in1, in1);
4551 env.bind(*variables.in2, in2);
4552 env.bind(*variables.in3, in3);
4553 env.bind(*variables.out0, reference0);
4554 env.bind(*variables.out1, reference1);
4557 // For each input tuple, compute output reference interval and compare
4558 // shader output to the reference.
4559 for (size_t valueNdx = 0; valueNdx < numValues; valueNdx++)
4562 typename Traits<Out0>::IVal reference0;
4563 typename Traits<Out1>::IVal reference1;
4565 if (valueNdx % (size_t)TOUCH_WATCHDOG_VALUE_FREQUENCY == 0)
4566 m_testCtx.touchWatchdog();
4568 env.lookup(*variables.in0) = convert<In0>(fmt, round(fmt, inputs.in0[valueNdx]));
4569 env.lookup(*variables.in1) = convert<In1>(fmt, round(fmt, inputs.in1[valueNdx]));
4570 env.lookup(*variables.in2) = convert<In2>(fmt, round(fmt, inputs.in2[valueNdx]));
4571 env.lookup(*variables.in3) = convert<In3>(fmt, round(fmt, inputs.in3[valueNdx]));
4574 EvalContext ctx (fmt, m_ctx.precision, env);
4581 reference1 = convert<Out1>(highpFmt, env.lookup(*variables.out1));
4582 if (!m_status.check(contains(reference1, outputs.out1[valueNdx]),
4583 "Shader output 1 is outside acceptable range"))
4586 reference0 = convert<Out0>(highpFmt, env.lookup(*variables.out0));
4587 if (!m_status.check(contains(reference0, outputs.out0[valueNdx]),
4588 "Shader output 0 is outside acceptable range"))
4596 if ((!result && numErrors <= maxMsgs) || GLS_LOG_ALL_RESULTS)
4598 MessageBuilder builder = log().message();
4600 builder << (result ? "Passed" : "Failed") << " sample:\n";
4604 builder << "\t" << variables.in0->getName() << " = "
4605 << valueToString(highpFmt, inputs.in0[valueNdx]) << "\n";
4610 builder << "\t" << variables.in1->getName() << " = "
4611 << valueToString(highpFmt, inputs.in1[valueNdx]) << "\n";
4616 builder << "\t" << variables.in2->getName() << " = "
4617 << valueToString(highpFmt, inputs.in2[valueNdx]) << "\n";
4622 builder << "\t" << variables.in3->getName() << " = "
4623 << valueToString(highpFmt, inputs.in3[valueNdx]) << "\n";
4628 builder << "\t" << variables.out0->getName() << " = "
4629 << valueToString(highpFmt, outputs.out0[valueNdx]) << "\n"
4630 << "\tExpected range: "
4631 << intervalToString<typename Out::Out0>(highpFmt, reference0) << "\n";
4636 builder << "\t" << variables.out1->getName() << " = "
4637 << valueToString(highpFmt, outputs.out1[valueNdx]) << "\n"
4638 << "\tExpected range: "
4639 << intervalToString<typename Out::Out1>(highpFmt, reference1) << "\n";
4642 builder << TestLog::EndMessage;
4646 if (numErrors > maxMsgs)
4648 log() << TestLog::Message << "(Skipped " << (numErrors - maxMsgs) << " messages.)"
4649 << TestLog::EndMessage;
4654 log() << TestLog::Message << "All " << numValues << " inputs passed."
4655 << TestLog::EndMessage;
4659 log() << TestLog::Message << numErrors << "/" << numValues << " inputs failed."
4660 << TestLog::EndMessage;
4666 template <typename T>
4669 bool operator() (const T& val1, const T& val2) const
4675 template <typename T>
4676 bool inputLess (const T& val1, const T& val2)
4678 return InputLess<T>()(val1, val2);
4682 struct InputLess<float>
4684 bool operator() (const float& val1, const float& val2) const
4694 template <typename T, int Size>
4695 struct InputLess<Vector<T, Size> >
4697 bool operator() (const Vector<T, Size>& vec1, const Vector<T, Size>& vec2) const
4699 for (int ndx = 0; ndx < Size; ++ndx)
4701 if (inputLess(vec1[ndx], vec2[ndx]))
4703 if (inputLess(vec2[ndx], vec1[ndx]))
4711 template <typename T, int Rows, int Cols>
4712 struct InputLess<Matrix<T, Rows, Cols> >
4714 bool operator() (const Matrix<T, Rows, Cols>& mat1,
4715 const Matrix<T, Rows, Cols>& mat2) const
4717 for (int col = 0; col < Cols; ++col)
4719 if (inputLess(mat1[col], mat2[col]))
4721 if (inputLess(mat2[col], mat1[col]))
4729 template <typename In>
4731 public Tuple4<typename In::In0, typename In::In1, typename In::In2, typename In::In3>
4733 InTuple (const typename In::In0& in0,
4734 const typename In::In1& in1,
4735 const typename In::In2& in2,
4736 const typename In::In3& in3)
4737 : Tuple4<typename In::In0, typename In::In1, typename In::In2, typename In::In3>
4738 (in0, in1, in2, in3) {}
4741 template <typename In>
4742 struct InputLess<InTuple<In> >
4744 bool operator() (const InTuple<In>& in1, const InTuple<In>& in2) const
4746 if (inputLess(in1.a, in2.a))
4748 if (inputLess(in2.a, in1.a))
4750 if (inputLess(in1.b, in2.b))
4752 if (inputLess(in2.b, in1.b))
4754 if (inputLess(in1.c, in2.c))
4756 if (inputLess(in2.c, in1.c))
4758 if (inputLess(in1.d, in2.d))
4764 template<typename In>
4765 Inputs<In> generateInputs (const Samplings<In>& samplings,
4766 const FloatFormat& floatFormat,
4767 Precision intPrecision,
4772 Inputs<In> fixedInputs;
4773 set<InTuple<In>, InputLess<InTuple<In> > > seenInputs;
4775 samplings.in0.genFixeds(floatFormat, fixedInputs.in0);
4776 samplings.in1.genFixeds(floatFormat, fixedInputs.in1);
4777 samplings.in2.genFixeds(floatFormat, fixedInputs.in2);
4778 samplings.in3.genFixeds(floatFormat, fixedInputs.in3);
4780 for (size_t ndx0 = 0; ndx0 < fixedInputs.in0.size(); ++ndx0)
4782 for (size_t ndx1 = 0; ndx1 < fixedInputs.in1.size(); ++ndx1)
4784 for (size_t ndx2 = 0; ndx2 < fixedInputs.in2.size(); ++ndx2)
4786 for (size_t ndx3 = 0; ndx3 < fixedInputs.in3.size(); ++ndx3)
4788 const InTuple<In> tuple (fixedInputs.in0[ndx0],
4789 fixedInputs.in1[ndx1],
4790 fixedInputs.in2[ndx2],
4791 fixedInputs.in3[ndx3]);
4793 seenInputs.insert(tuple);
4794 ret.in0.push_back(tuple.a);
4795 ret.in1.push_back(tuple.b);
4796 ret.in2.push_back(tuple.c);
4797 ret.in3.push_back(tuple.d);
4803 for (size_t ndx = 0; ndx < numSamples; ++ndx)
4805 const typename In::In0 in0 = samplings.in0.genRandom(floatFormat, intPrecision, rnd);
4806 const typename In::In1 in1 = samplings.in1.genRandom(floatFormat, intPrecision, rnd);
4807 const typename In::In2 in2 = samplings.in2.genRandom(floatFormat, intPrecision, rnd);
4808 const typename In::In3 in3 = samplings.in3.genRandom(floatFormat, intPrecision, rnd);
4809 const InTuple<In> tuple (in0, in1, in2, in3);
4811 if (de::contains(seenInputs, tuple))
4814 seenInputs.insert(tuple);
4815 ret.in0.push_back(in0);
4816 ret.in1.push_back(in1);
4817 ret.in2.push_back(in2);
4818 ret.in3.push_back(in3);
4824 class FuncCaseBase : public PrecisionCase
4827 IterateResult iterate (void);
4830 FuncCaseBase (const Context& context,
4832 const FuncBase& func)
4833 : PrecisionCase (context, name, func.getRequiredExtension()) {}
4836 IterateResult FuncCaseBase::iterate (void)
4838 MovePtr<ContextInfo> info (ContextInfo::create(getRenderContext()));
4840 if (!m_extension.empty() && !info->isExtensionSupported(m_extension.c_str()))
4841 throw NotSupportedError("Unsupported extension: " + m_extension);
4845 m_status.setTestContextResult(m_testCtx);
4849 template <typename Sig>
4850 class FuncCase : public FuncCaseBase
4853 typedef Func<Sig> CaseFunc;
4854 typedef typename Sig::Ret Ret;
4855 typedef typename Sig::Arg0 Arg0;
4856 typedef typename Sig::Arg1 Arg1;
4857 typedef typename Sig::Arg2 Arg2;
4858 typedef typename Sig::Arg3 Arg3;
4859 typedef InTypes<Arg0, Arg1, Arg2, Arg3> In;
4860 typedef OutTypes<Ret> Out;
4862 FuncCase (const Context& context,
4864 const CaseFunc& func)
4865 : FuncCaseBase (context, name, func)
4869 void runTest (void);
4871 virtual const Samplings<In>& getSamplings (void)
4873 return instance<DefaultSamplings<In> >();
4877 const CaseFunc& m_func;
4880 template <typename Sig>
4881 void FuncCase<Sig>::runTest (void)
4883 const Inputs<In> inputs (generateInputs(getSamplings(),
4888 Variables<In, Out> variables;
4890 variables.out0 = variable<Ret>("out0");
4891 variables.out1 = variable<Void>("out1");
4892 variables.in0 = variable<Arg0>("in0");
4893 variables.in1 = variable<Arg1>("in1");
4894 variables.in2 = variable<Arg2>("in2");
4895 variables.in3 = variable<Arg3>("in3");
4898 ExprP<Ret> expr = applyVar(m_func,
4899 variables.in0, variables.in1,
4900 variables.in2, variables.in3);
4901 StatementP stmt = variableAssignment(variables.out0, expr);
4903 this->testStatement(variables, inputs, *stmt);
4907 template <typename Sig>
4908 class InOutFuncCase : public FuncCaseBase
4911 typedef Func<Sig> CaseFunc;
4912 typedef typename Sig::Ret Ret;
4913 typedef typename Sig::Arg0 Arg0;
4914 typedef typename Sig::Arg1 Arg1;
4915 typedef typename Sig::Arg2 Arg2;
4916 typedef typename Sig::Arg3 Arg3;
4917 typedef InTypes<Arg0, Arg2, Arg3> In;
4918 typedef OutTypes<Ret, Arg1> Out;
4920 InOutFuncCase (const Context& context,
4922 const CaseFunc& func)
4923 : FuncCaseBase (context, name, func)
4927 void runTest (void);
4929 virtual const Samplings<In>& getSamplings (void)
4931 return instance<DefaultSamplings<In> >();
4935 const CaseFunc& m_func;
4938 template <typename Sig>
4939 void InOutFuncCase<Sig>::runTest (void)
4941 const Inputs<In> inputs (generateInputs(getSamplings(),
4946 Variables<In, Out> variables;
4948 variables.out0 = variable<Ret>("out0");
4949 variables.out1 = variable<Arg1>("out1");
4950 variables.in0 = variable<Arg0>("in0");
4951 variables.in1 = variable<Arg2>("in1");
4952 variables.in2 = variable<Arg3>("in2");
4953 variables.in3 = variable<Void>("in3");
4956 ExprP<Ret> expr = applyVar(m_func,
4957 variables.in0, variables.out1,
4958 variables.in1, variables.in2);
4959 StatementP stmt = variableAssignment(variables.out0, expr);
4961 this->testStatement(variables, inputs, *stmt);
4965 template <typename Sig>
4966 PrecisionCase* createFuncCase (const Context& context,
4968 const Func<Sig>& func)
4970 switch (func.getOutParamIndex())
4973 return new FuncCase<Sig>(context, name, func);
4975 return new InOutFuncCase<Sig>(context, name, func);
4977 DE_FATAL("Impossible");
4985 virtual ~CaseFactory (void) {}
4986 virtual MovePtr<TestNode> createCase (const Context& ctx) const = 0;
4987 virtual string getName (void) const = 0;
4988 virtual string getDesc (void) const = 0;
4991 class FuncCaseFactory : public CaseFactory
4994 virtual const FuncBase& getFunc (void) const = 0;
4996 string getName (void) const
4998 return de::toLower(getFunc().getName());
5001 string getDesc (void) const
5003 return "Function '" + getFunc().getName() + "'";
5007 template <typename Sig>
5008 class GenFuncCaseFactory : public CaseFactory
5012 GenFuncCaseFactory (const GenFuncs<Sig>& funcs,
5015 , m_name (de::toLower(name)) {}
5017 MovePtr<TestNode> createCase (const Context& ctx) const
5019 TestCaseGroup* group = new TestCaseGroup(ctx.testContext,
5020 ctx.name.c_str(), ctx.name.c_str());
5022 group->addChild(createFuncCase(ctx, "scalar", m_funcs.func));
5023 group->addChild(createFuncCase(ctx, "vec2", m_funcs.func2));
5024 group->addChild(createFuncCase(ctx, "vec3", m_funcs.func3));
5025 group->addChild(createFuncCase(ctx, "vec4", m_funcs.func4));
5027 return MovePtr<TestNode>(group);
5030 string getName (void) const
5035 string getDesc (void) const
5037 return "Function '" + m_funcs.func.getName() + "'";
5041 const GenFuncs<Sig> m_funcs;
5045 template <template <int> class GenF>
5046 class TemplateFuncCaseFactory : public FuncCaseFactory
5049 MovePtr<TestNode> createCase (const Context& ctx) const
5051 TestCaseGroup* group = new TestCaseGroup(ctx.testContext,
5052 ctx.name.c_str(), ctx.name.c_str());
5053 group->addChild(createFuncCase(ctx, "scalar", instance<GenF<1> >()));
5054 group->addChild(createFuncCase(ctx, "vec2", instance<GenF<2> >()));
5055 group->addChild(createFuncCase(ctx, "vec3", instance<GenF<3> >()));
5056 group->addChild(createFuncCase(ctx, "vec4", instance<GenF<4> >()));
5058 return MovePtr<TestNode>(group);
5061 const FuncBase& getFunc (void) const { return instance<GenF<1> >(); }
5064 template <template <int> class GenF>
5065 class SquareMatrixFuncCaseFactory : public FuncCaseFactory
5068 MovePtr<TestNode> createCase (const Context& ctx) const
5070 TestCaseGroup* group = new TestCaseGroup(ctx.testContext,
5071 ctx.name.c_str(), ctx.name.c_str());
5072 group->addChild(createFuncCase(ctx, "mat2", instance<GenF<2> >()));
5074 // disabled until we get reasonable results
5075 group->addChild(createFuncCase(ctx, "mat3", instance<GenF<3> >()));
5076 group->addChild(createFuncCase(ctx, "mat4", instance<GenF<4> >()));
5079 return MovePtr<TestNode>(group);
5082 const FuncBase& getFunc (void) const { return instance<GenF<2> >(); }
5085 template <template <int, int> class GenF>
5086 class MatrixFuncCaseFactory : public FuncCaseFactory
5089 MovePtr<TestNode> createCase (const Context& ctx) const
5091 TestCaseGroup* const group = new TestCaseGroup(ctx.testContext,
5092 ctx.name.c_str(), ctx.name.c_str());
5094 this->addCase<2, 2>(ctx, group);
5095 this->addCase<3, 2>(ctx, group);
5096 this->addCase<4, 2>(ctx, group);
5097 this->addCase<2, 3>(ctx, group);
5098 this->addCase<3, 3>(ctx, group);
5099 this->addCase<4, 3>(ctx, group);
5100 this->addCase<2, 4>(ctx, group);
5101 this->addCase<3, 4>(ctx, group);
5102 this->addCase<4, 4>(ctx, group);
5104 return MovePtr<TestNode>(group);
5107 const FuncBase& getFunc (void) const { return instance<GenF<2,2> >(); }
5110 template <int Rows, int Cols>
5111 void addCase (const Context& ctx, TestCaseGroup* group) const
5113 const char* const name = dataTypeNameOf<Matrix<float, Rows, Cols> >();
5115 group->addChild(createFuncCase(ctx, name, instance<GenF<Rows, Cols> >()));
5119 template <typename Sig>
5120 class SimpleFuncCaseFactory : public CaseFactory
5123 SimpleFuncCaseFactory (const Func<Sig>& func) : m_func(func) {}
5125 MovePtr<TestNode> createCase (const Context& ctx) const
5127 return MovePtr<TestNode>(createFuncCase(ctx, ctx.name.c_str(), m_func));
5130 string getName (void) const
5132 return de::toLower(m_func.getName());
5135 string getDesc (void) const
5137 return "Function '" + getName() + "'";
5141 const Func<Sig>& m_func;
5144 template <typename F>
5145 SharedPtr<SimpleFuncCaseFactory<typename F::Sig> > createSimpleFuncCaseFactory (void)
5147 return SharedPtr<SimpleFuncCaseFactory<typename F::Sig> >(
5148 new SimpleFuncCaseFactory<typename F::Sig>(instance<F>()));
5151 class BuiltinFuncs : public CaseFactories
5154 const vector<const CaseFactory*> getFactories (void) const
5156 vector<const CaseFactory*> ret;
5158 for (size_t ndx = 0; ndx < m_factories.size(); ++ndx)
5159 ret.push_back(m_factories[ndx].get());
5164 void addFactory (SharedPtr<const CaseFactory> fact)
5166 m_factories.push_back(fact);
5170 vector<SharedPtr<const CaseFactory> > m_factories;
5173 template <typename F>
5174 void addScalarFactory(BuiltinFuncs& funcs, string name = "")
5177 name = instance<F>().getName();
5179 funcs.addFactory(SharedPtr<const CaseFactory>(new GenFuncCaseFactory<typename F::Sig>(
5180 makeVectorizedFuncs<F>(), name)));
5183 MovePtr<const CaseFactories> createES3BuiltinCases (void)
5185 MovePtr<BuiltinFuncs> funcs (new BuiltinFuncs());
5187 addScalarFactory<Add>(*funcs);
5188 addScalarFactory<Sub>(*funcs);
5189 addScalarFactory<Mul>(*funcs);
5190 addScalarFactory<Div>(*funcs);
5192 addScalarFactory<Radians>(*funcs);
5193 addScalarFactory<Degrees>(*funcs);
5194 addScalarFactory<Sin>(*funcs);
5195 addScalarFactory<Cos>(*funcs);
5196 addScalarFactory<Tan>(*funcs);
5197 addScalarFactory<ASin>(*funcs);
5198 addScalarFactory<ACos>(*funcs);
5199 addScalarFactory<ATan2>(*funcs, "atan2");
5200 addScalarFactory<ATan>(*funcs);
5201 addScalarFactory<Sinh>(*funcs);
5202 addScalarFactory<Cosh>(*funcs);
5203 addScalarFactory<Tanh>(*funcs);
5204 addScalarFactory<ASinh>(*funcs);
5205 addScalarFactory<ACosh>(*funcs);
5206 addScalarFactory<ATanh>(*funcs);
5208 addScalarFactory<Pow>(*funcs);
5209 addScalarFactory<Exp>(*funcs);
5210 addScalarFactory<Log>(*funcs);
5211 addScalarFactory<Exp2>(*funcs);
5212 addScalarFactory<Log2>(*funcs);
5213 addScalarFactory<Sqrt>(*funcs);
5214 addScalarFactory<InverseSqrt>(*funcs);
5216 addScalarFactory<Abs>(*funcs);
5217 addScalarFactory<Sign>(*funcs);
5218 addScalarFactory<Floor>(*funcs);
5219 addScalarFactory<Trunc>(*funcs);
5220 addScalarFactory<Round>(*funcs);
5221 addScalarFactory<RoundEven>(*funcs);
5222 addScalarFactory<Ceil>(*funcs);
5223 addScalarFactory<Fract>(*funcs);
5224 addScalarFactory<Mod>(*funcs);
5225 funcs->addFactory(createSimpleFuncCaseFactory<Modf>());
5226 addScalarFactory<Min>(*funcs);
5227 addScalarFactory<Max>(*funcs);
5228 addScalarFactory<Clamp>(*funcs);
5229 addScalarFactory<Mix>(*funcs);
5230 addScalarFactory<Step>(*funcs);
5231 addScalarFactory<SmoothStep>(*funcs);
5233 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Length>()));
5234 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Distance>()));
5235 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Dot>()));
5236 funcs->addFactory(createSimpleFuncCaseFactory<Cross>());
5237 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Normalize>()));
5238 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<FaceForward>()));
5239 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Reflect>()));
5240 funcs->addFactory(SharedPtr<const CaseFactory>(new TemplateFuncCaseFactory<Refract>()));
5243 funcs->addFactory(SharedPtr<const CaseFactory>(new MatrixFuncCaseFactory<MatrixCompMult>()));
5244 funcs->addFactory(SharedPtr<const CaseFactory>(new MatrixFuncCaseFactory<OuterProduct>()));
5245 funcs->addFactory(SharedPtr<const CaseFactory>(new MatrixFuncCaseFactory<Transpose>()));
5246 funcs->addFactory(SharedPtr<const CaseFactory>(new SquareMatrixFuncCaseFactory<Determinant>()));
5247 funcs->addFactory(SharedPtr<const CaseFactory>(new SquareMatrixFuncCaseFactory<Inverse>()));
5249 return MovePtr<const CaseFactories>(funcs.release());
5252 MovePtr<const CaseFactories> createES31BuiltinCases (void)
5254 MovePtr<BuiltinFuncs> funcs (new BuiltinFuncs());
5256 addScalarFactory<FrExp>(*funcs);
5257 addScalarFactory<LdExp>(*funcs);
5258 addScalarFactory<Fma>(*funcs);
5260 return MovePtr<const CaseFactories>(funcs.release());
5263 struct PrecisionTestContext
5265 PrecisionTestContext (TestContext& testCtx_,
5266 RenderContext& renderCtx_,
5267 const FloatFormat& highp_,
5268 const FloatFormat& mediump_,
5269 const FloatFormat& lowp_,
5270 const vector<ShaderType>& shaderTypes_,
5272 : testCtx (testCtx_)
5273 , renderCtx (renderCtx_)
5274 , shaderTypes (shaderTypes_)
5275 , numRandoms (numRandoms_)
5277 formats[glu::PRECISION_HIGHP] = &highp_;
5278 formats[glu::PRECISION_MEDIUMP] = &mediump_;
5279 formats[glu::PRECISION_LOWP] = &lowp_;
5282 TestContext& testCtx;
5283 RenderContext& renderCtx;
5284 const FloatFormat* formats[glu::PRECISION_LAST];
5285 vector<ShaderType> shaderTypes;
5289 TestCaseGroup* createFuncGroup (const PrecisionTestContext& ctx,
5290 const CaseFactory& factory)
5292 TestCaseGroup* const group = new TestCaseGroup(ctx.testCtx,
5293 factory.getName().c_str(),
5294 factory.getDesc().c_str());
5296 for (int precNdx = 0; precNdx < glu::PRECISION_LAST; ++precNdx)
5298 const Precision precision = Precision(precNdx);
5299 const string precName (glu::getPrecisionName(precision));
5300 const FloatFormat& fmt = *de::getSizedArrayElement<glu::PRECISION_LAST>(ctx.formats, precNdx);
5301 const FloatFormat& highpFmt = *de::getSizedArrayElement<glu::PRECISION_LAST>(ctx.formats,
5302 glu::PRECISION_HIGHP);
5304 for (size_t shaderNdx = 0; shaderNdx < ctx.shaderTypes.size(); ++shaderNdx)
5306 const ShaderType shaderType = ctx.shaderTypes[shaderNdx];
5307 const string shaderName (glu::getShaderTypeName(shaderType));
5308 const string name = precName + "_" + shaderName;
5309 const Context caseCtx (name, ctx.testCtx, ctx.renderCtx, fmt, highpFmt,
5310 precision, shaderType, ctx.numRandoms);
5312 group->addChild(factory.createCase(caseCtx).release());
5319 void addBuiltinPrecisionTests (TestContext& testCtx,
5320 RenderContext& renderCtx,
5321 const CaseFactories& cases,
5322 const vector<ShaderType>& shaderTypes,
5323 TestCaseGroup& dstGroup)
5325 const int userRandoms = testCtx.getCommandLine().getTestIterationCount();
5326 const int defRandoms = 16384;
5327 const int numRandoms = userRandoms > 0 ? userRandoms : defRandoms;
5328 const FloatFormat highp (-126, 127, 23, true,
5329 tcu::MAYBE, // subnormals
5330 tcu::YES, // infinities
5332 // \todo [2014-04-01 lauri] Check these once Khronos bug 11840 is resolved.
5333 const FloatFormat mediump (-13, 13, 9, false);
5334 // A fixed-point format is just a floating point format with a fixed
5335 // exponent and support for subnormals.
5336 const FloatFormat lowp (0, 0, 7, false, tcu::YES);
5337 const PrecisionTestContext ctx (testCtx, renderCtx, highp, mediump, lowp,
5338 shaderTypes, numRandoms);
5340 for (size_t ndx = 0; ndx < cases.getFactories().size(); ++ndx)
5341 dstGroup.addChild(createFuncGroup(ctx, *cases.getFactories()[ndx]));
5344 } // BuiltinPrecisionTests