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1 // Copyright 2016 The SwiftShader Authors. All Rights Reserved.
2 //
3 // Licensed under the Apache License, Version 2.0 (the "License");
4 // you may not use this file except in compliance with the License.
5 // You may obtain a copy of the License at
6 //
7 //    http://www.apache.org/licenses/LICENSE-2.0
8 //
9 // Unless required by applicable law or agreed to in writing, software
10 // distributed under the License is distributed on an "AS IS" BASIS,
11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12 // See the License for the specific language governing permissions and
13 // limitations under the License.
14 
15 // mathutil.h: Math and bit manipulation functions.
16 
17 #ifndef LIBGLESV2_MATHUTIL_H_
18 #define LIBGLESV2_MATHUTIL_H_
19 
20 #include "common/debug.h"
21 #include "Common/Math.hpp"
22 #include <limits>
23 
24 namespace es2
25 {
isPow2(int x)26 inline bool isPow2(int x)
27 {
28 	return (x & (x - 1)) == 0 && (x != 0);
29 }
30 
log2(int x)31 inline int log2(int x)
32 {
33 	int r = 0;
34 	while((x >> r) > 1) r++;
35 	return r;
36 }
37 
ceilPow2(unsigned int x)38 inline unsigned int ceilPow2(unsigned int x)
39 {
40 	if(x != 0) x--;
41 	x |= x >> 1;
42 	x |= x >> 2;
43 	x |= x >> 4;
44 	x |= x >> 8;
45 	x |= x >> 16;
46 	x++;
47 
48 	return x;
49 }
50 
51 using sw::swap;
52 using sw::clamp;
53 using sw::clamp01;
54 
55 template<const int n>
unorm(float x)56 inline unsigned int unorm(float x)
57 {
58 	const unsigned int max = 0xFFFFFFFF >> (32 - n);
59 
60 	if(x > 1)
61 	{
62 		return max;
63 	}
64 	else if(x < 0)
65 	{
66 		return 0;
67 	}
68 	else
69 	{
70 		return (unsigned int)(max * x + 0.5f);
71 	}
72 }
73 
74 // Converts floating-point values to the nearest representable integer
convert_float_int(float x)75 inline int convert_float_int(float x)
76 {
77 	// The largest positive integer value that is exactly representable in IEEE 754 binary32 is 0x7FFFFF80.
78 	// The next floating-point value is 128 larger and thus needs clamping to 0x7FFFFFFF.
79 	static_assert(std::numeric_limits<float>::is_iec559, "Unsupported floating-point format");
80 
81 	if(x > 0x7FFFFF80)
82 	{
83 		return 0x7FFFFFFF;
84 	}
85 
86 	if(x < (signed)0x80000000)
87 	{
88 		return 0x80000000;
89 	}
90 
91 	return static_cast<int>(roundf(x));
92 }
93 }
94 
95 #endif   // LIBGLESV2_MATHUTIL_H_
96