1 #ifndef _TCUINTERVAL_HPP 2 #define _TCUINTERVAL_HPP 3 /*------------------------------------------------------------------------- 4 * drawElements Quality Program Tester Core 5 * ---------------------------------------- 6 * 7 * Copyright 2014 The Android Open Source Project 8 * 9 * Licensed under the Apache License, Version 2.0 (the "License"); 10 * you may not use this file except in compliance with the License. 11 * You may obtain a copy of the License at 12 * 13 * http://www.apache.org/licenses/LICENSE-2.0 14 * 15 * Unless required by applicable law or agreed to in writing, software 16 * distributed under the License is distributed on an "AS IS" BASIS, 17 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 18 * See the License for the specific language governing permissions and 19 * limitations under the License. 20 * 21 *//*! 22 * \file 23 * \brief Interval arithmetic and floating point precisions. 24 *//*--------------------------------------------------------------------*/ 25 26 #include "tcuDefs.hpp" 27 28 #include "deMath.h" 29 30 #include <iostream> 31 #include <limits> 32 33 #define TCU_INFINITY (::std::numeric_limits<float>::infinity()) 34 #define TCU_NAN (::std::numeric_limits<float>::quiet_NaN()) 35 36 namespace tcu 37 { 38 39 // RAII context for temporarily changing the rounding mode 40 class ScopedRoundingMode 41 { 42 public: 43 ScopedRoundingMode (deRoundingMode mode) 44 : m_oldMode (deGetRoundingMode()) { deSetRoundingMode(mode); } 45 46 ScopedRoundingMode (void) : m_oldMode (deGetRoundingMode()) {} 47 48 ~ScopedRoundingMode (void) { deSetRoundingMode(m_oldMode); } 49 50 private: 51 ScopedRoundingMode (const ScopedRoundingMode&); 52 ScopedRoundingMode& operator= (const ScopedRoundingMode&); 53 54 const deRoundingMode m_oldMode; 55 }; 56 57 class Interval 58 { 59 public: 60 // Empty interval. 61 Interval (void) 62 : m_hasNaN (false) 63 , m_lo (TCU_INFINITY) 64 , m_hi (-TCU_INFINITY) {} 65 66 // Intentionally not explicit. Conversion from double to Interval is common 67 // and reasonable. 68 Interval (double val) 69 : m_hasNaN (!!deIsNaN(val)) 70 , m_lo (m_hasNaN ? TCU_INFINITY : val) 71 , m_hi (m_hasNaN ? -TCU_INFINITY : val) {} 72 73 Interval (const Interval& a, const Interval& b) 74 : m_hasNaN (a.m_hasNaN || b.m_hasNaN) 75 , m_lo (de::min(a.lo(), b.lo())) 76 , m_hi (de::max(a.hi(), b.hi())) {} 77 78 double length (void) const { return m_hi - m_lo; } 79 double lo (void) const { return m_lo; } 80 double hi (void) const { return m_hi; } 81 bool hasNaN (void) const { return m_hasNaN; } 82 Interval nan (void) const { return m_hasNaN ? TCU_NAN : Interval(); } 83 bool empty (void) const { return m_lo > m_hi; } 84 bool isFinite (void) const { return m_lo > -TCU_INFINITY && m_hi < TCU_INFINITY; } 85 bool isOrdinary (void) const { return !hasNaN() && !empty() && isFinite(); } 86 87 88 Interval operator| (const Interval& other) const 89 { 90 return Interval(m_hasNaN || other.m_hasNaN, 91 de::min(m_lo, other.m_lo), 92 de::max(m_hi, other.m_hi)); 93 94 } 95 96 Interval& operator|= (const Interval& other) 97 { 98 return (*this = *this | other); 99 } 100 101 Interval operator& (const Interval& other) const 102 { 103 return Interval(m_hasNaN && other.m_hasNaN, 104 de::max(m_lo, other.m_lo), 105 de::min(m_hi, other.m_hi)); 106 } 107 108 Interval& operator&= (const Interval& other) 109 { 110 return (*this = *this & other); 111 } 112 113 bool contains (const Interval& other) const 114 { 115 return (other.lo() >= lo() && other.hi() <= hi() && 116 (!other.hasNaN() || hasNaN())); 117 } 118 119 bool intersects (const Interval& other) const 120 { 121 return ((other.hi() >= lo() && other.lo() >= hi()) || 122 (other.hasNaN() && hasNaN())); 123 } 124 125 Interval operator- (void) const 126 { 127 return Interval(hasNaN(), -hi(), -lo()); 128 } 129 130 static Interval unbounded (bool nan = false) 131 { 132 return Interval(nan, -TCU_INFINITY, TCU_INFINITY); 133 } 134 135 double midpoint (void) const 136 { 137 return 0.5 * (hi() + lo()); // returns NaN when not bounded 138 } 139 140 bool operator== (const Interval& other) const 141 { 142 return ((m_hasNaN == other.m_hasNaN) && 143 ((empty() && other.empty()) || 144 (m_lo == other.m_lo && m_hi == other.m_hi))); 145 } 146 147 private: 148 Interval (bool hasNaN_, double lo_, double hi_) 149 : m_hasNaN(hasNaN_), m_lo(lo_), m_hi(hi_) {} 150 bool m_hasNaN; 151 double m_lo; 152 double m_hi; 153 }; 154 155 inline Interval operator+ (const Interval& x) { return x; } 156 Interval exp2 (const Interval& x); 157 Interval exp (const Interval& x); 158 int sign (const Interval& x); 159 Interval abs (const Interval& x); 160 Interval inverseSqrt (const Interval& x); 161 162 Interval operator+ (const Interval& x, const Interval& y); 163 Interval operator- (const Interval& x, const Interval& y); 164 Interval operator* (const Interval& x, const Interval& y); 165 Interval operator/ (const Interval& nom, const Interval& den); 166 167 inline Interval& operator+= (Interval& x, const Interval& y) { return (x = x + y); } 168 inline Interval& operator-= (Interval& x, const Interval& y) { return (x = x - y); } 169 inline Interval& operator*= (Interval& x, const Interval& y) { return (x = x * y); } 170 inline Interval& operator/= (Interval& x, const Interval& y) { return (x = x / y); } 171 172 std::ostream& operator<< (std::ostream& os, const Interval& interval); 173 174 #define TCU_SET_INTERVAL_BOUNDS(DST, VAR, SETLOW, SETHIGH) do \ 175 { \ 176 ::tcu::ScopedRoundingMode VAR##_ctx_; \ 177 ::tcu::Interval& VAR##_dst_ = (DST); \ 178 ::tcu::Interval VAR##_lo_; \ 179 ::tcu::Interval VAR##_hi_; \ 180 \ 181 { \ 182 ::tcu::Interval& VAR = VAR##_lo_; \ 183 ::deSetRoundingMode(DE_ROUNDINGMODE_TO_NEGATIVE_INF); \ 184 SETLOW; \ 185 } \ 186 { \ 187 ::tcu::Interval& VAR = VAR##_hi_; \ 188 ::deSetRoundingMode(DE_ROUNDINGMODE_TO_POSITIVE_INF); \ 189 SETHIGH; \ 190 } \ 191 \ 192 VAR##_dst_ = VAR##_lo_ | VAR##_hi_; \ 193 } while (::deGetFalse()) 194 195 #define TCU_SET_INTERVAL(DST, VAR, BODY) \ 196 TCU_SET_INTERVAL_BOUNDS(DST, VAR, BODY, BODY) 197 198 //! Set the interval DST to the image of BODY on ARG, assuming that BODY on 199 //! ARG is a monotone function. In practice, BODY is evaluated on both the 200 //! upper and lower bound of ARG, and DST is set to the union of these 201 //! results. While evaluating BODY, PARAM is bound to the bound of ARG, and 202 //! the output of BODY should be stored in VAR. 203 #define TCU_INTERVAL_APPLY_MONOTONE1(DST, PARAM, ARG, VAR, BODY) do \ 204 { \ 205 const ::tcu::Interval& VAR##_arg_ = (ARG); \ 206 ::tcu::Interval& VAR##_dst_ = (DST); \ 207 ::tcu::Interval VAR##_lo_; \ 208 ::tcu::Interval VAR##_hi_; \ 209 if (VAR##_arg_.empty()) \ 210 VAR##_dst_ = Interval(); \ 211 else \ 212 { \ 213 { \ 214 const double PARAM = VAR##_arg_.lo(); \ 215 ::tcu::Interval& VAR = VAR##_lo_; \ 216 BODY; \ 217 } \ 218 { \ 219 const double PARAM = VAR##_arg_.hi(); \ 220 ::tcu::Interval& VAR = VAR##_hi_; \ 221 BODY; \ 222 } \ 223 VAR##_dst_ = VAR##_lo_ | VAR##_hi_; \ 224 } \ 225 if (VAR##_arg_.hasNaN()) \ 226 VAR##_dst_ |= TCU_NAN; \ 227 } while (::deGetFalse()) 228 229 #define TCU_INTERVAL_APPLY_MONOTONE2(DST, P0, A0, P1, A1, VAR, BODY) \ 230 TCU_INTERVAL_APPLY_MONOTONE1( \ 231 DST, P0, A0, tmp2_, \ 232 TCU_INTERVAL_APPLY_MONOTONE1(tmp2_, P1, A1, VAR, BODY)) 233 234 #define TCU_INTERVAL_APPLY_MONOTONE3(DST, P0, A0, P1, A1, P2, A2, VAR, BODY) \ 235 TCU_INTERVAL_APPLY_MONOTONE1( \ 236 DST, P0, A0, tmp3_, \ 237 TCU_INTERVAL_APPLY_MONOTONE2(tmp3_, P1, A1, P2, A2, VAR, BODY)) 238 239 typedef double DoubleFunc1 (double); 240 typedef double DoubleFunc2 (double, double); 241 typedef double DoubleFunc3 (double, double, double); 242 typedef Interval DoubleIntervalFunc1 (double); 243 typedef Interval DoubleIntervalFunc2 (double, double); 244 typedef Interval DoubleIntervalFunc3 (double, double, double); 245 246 Interval applyMonotone (DoubleFunc1& func, 247 const Interval& arg0); 248 Interval applyMonotone (DoubleFunc2& func, 249 const Interval& arg0, 250 const Interval& arg1); 251 Interval applyMonotone (DoubleIntervalFunc1& func, 252 const Interval& arg0); 253 Interval applyMonotone (DoubleIntervalFunc2& func, 254 const Interval& arg0, 255 const Interval& arg1); 256 257 258 } // tcu 259 260 #endif // _TCUINTERVAL_HPP 261
