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:
ScopedRoundingMode(deRoundingMode mode)43 ScopedRoundingMode (deRoundingMode mode)
44 : m_oldMode (deGetRoundingMode()) { deSetRoundingMode(mode); }
45
ScopedRoundingMode(void)46 ScopedRoundingMode (void) : m_oldMode (deGetRoundingMode()) {}
47
~ScopedRoundingMode(void)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.
Interval(void)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.
Interval(double val)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
Interval(const Interval & a,const Interval & b)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
length(void) const78 double length (void) const { return m_hi - m_lo; }
lo(void) const79 double lo (void) const { return m_lo; }
hi(void) const80 double hi (void) const { return m_hi; }
hasNaN(void) const81 bool hasNaN (void) const { return m_hasNaN; }
nan(void) const82 Interval nan (void) const { return m_hasNaN ? TCU_NAN : Interval(); }
empty(void) const83 bool empty (void) const { return m_lo > m_hi; }
isFinite(void) const84 bool isFinite (void) const { return m_lo > -TCU_INFINITY && m_hi < TCU_INFINITY; }
isOrdinary(void) const85 bool isOrdinary (void) const { return !hasNaN() && !empty() && isFinite(); }
86
87
operator |(const Interval & other) const88 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
operator |=(const Interval & other)96 Interval& operator|= (const Interval& other)
97 {
98 return (*this = *this | other);
99 }
100
operator &(const Interval & other) const101 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
operator &=(const Interval & other)108 Interval& operator&= (const Interval& other)
109 {
110 return (*this = *this & other);
111 }
112
contains(const Interval & other) const113 bool contains (const Interval& other) const
114 {
115 return (other.lo() >= lo() && other.hi() <= hi() &&
116 (!other.hasNaN() || hasNaN()));
117 }
118
intersects(const Interval & other) const119 bool intersects (const Interval& other) const
120 {
121 return ((other.hi() >= lo() && other.lo() <= hi()) ||
122 (other.hasNaN() && hasNaN()));
123 }
124
operator -(void) const125 Interval operator- (void) const
126 {
127 return Interval(hasNaN(), -hi(), -lo());
128 }
129
unbounded(bool nan=false)130 static Interval unbounded (bool nan = false)
131 {
132 return Interval(nan, -TCU_INFINITY, TCU_INFINITY);
133 }
134
midpoint(void) const135 double midpoint (void) const
136 {
137 return 0.5 * (hi() + lo()); // returns NaN when not bounded
138 }
139
operator ==(const Interval & other) const140 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:
Interval(bool hasNaN_,double lo_,double hi_)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 } DE_WARN_UNUSED_TYPE;
154
operator +(const Interval & x)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
operator +=(Interval & x,const Interval & y)167 inline Interval& operator+= (Interval& x, const Interval& y) { return (x = x + y); }
operator -=(Interval & x,const Interval & y)168 inline Interval& operator-= (Interval& x, const Interval& y) { return (x = x - y); }
operator *=(Interval & x,const Interval & y)169 inline Interval& operator*= (Interval& x, const Interval& y) { return (x = x * y); }
operator /=(Interval & x,const Interval & 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