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Rev | Author | Line No. | Line |
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4103 | Serge | 1 | /* |
2 | * Copyright 2009 Red Hat Inc. |
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3 | * |
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4 | * Permission is hereby granted, free of charge, to any person obtaining a |
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5 | * copy of this software and associated documentation files (the "Software"), |
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6 | * to deal in the Software without restriction, including without limitation |
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7 | * the rights to use, copy, modify, merge, publish, distribute, sublicense, |
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8 | * and/or sell copies of the Software, and to permit persons to whom the |
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9 | * Software is furnished to do so, subject to the following conditions: |
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10 | * |
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11 | * The above copyright notice and this permission notice shall be included in |
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12 | * all copies or substantial portions of the Software. |
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13 | * |
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14 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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15 | * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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16 | * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
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17 | * THE COPYRIGHT HOLDER(S) OR AUTHOR(S) BE LIABLE FOR ANY CLAIM, DAMAGES OR |
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18 | * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, |
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19 | * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR |
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20 | * OTHER DEALINGS IN THE SOFTWARE. |
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21 | * |
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22 | * Authors: Dave Airlie |
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23 | * Christian König |
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24 | */ |
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25 | #ifndef DRM_FIXED_H |
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26 | #define DRM_FIXED_H |
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27 | |||
28 | #include |
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29 | |||
30 | typedef union dfixed { |
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31 | u32 full; |
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32 | } fixed20_12; |
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33 | |||
34 | |||
35 | #define dfixed_const(A) (u32)(((A) << 12))/* + ((B + 0.000122)*4096)) */ |
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36 | #define dfixed_const_half(A) (u32)(((A) << 12) + 2048) |
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37 | #define dfixed_const_666(A) (u32)(((A) << 12) + 2731) |
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38 | #define dfixed_const_8(A) (u32)(((A) << 12) + 3277) |
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39 | #define dfixed_mul(A, B) ((u64)((u64)(A).full * (B).full + 2048) >> 12) |
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40 | #define dfixed_init(A) { .full = dfixed_const((A)) } |
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41 | #define dfixed_init_half(A) { .full = dfixed_const_half((A)) } |
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42 | #define dfixed_trunc(A) ((A).full >> 12) |
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43 | #define dfixed_frac(A) ((A).full & ((1 << 12) - 1)) |
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44 | |||
45 | static inline u32 dfixed_floor(fixed20_12 A) |
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46 | { |
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47 | u32 non_frac = dfixed_trunc(A); |
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48 | |||
49 | return dfixed_const(non_frac); |
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50 | } |
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51 | |||
52 | static inline u32 dfixed_ceil(fixed20_12 A) |
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53 | { |
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54 | u32 non_frac = dfixed_trunc(A); |
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55 | |||
56 | if (A.full > dfixed_const(non_frac)) |
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57 | return dfixed_const(non_frac + 1); |
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58 | else |
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59 | return dfixed_const(non_frac); |
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60 | } |
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61 | |||
62 | static inline u32 dfixed_div(fixed20_12 A, fixed20_12 B) |
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63 | { |
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64 | u64 tmp = ((u64)A.full << 13); |
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65 | |||
66 | do_div(tmp, B.full); |
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67 | tmp += 1; |
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68 | tmp /= 2; |
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69 | return lower_32_bits(tmp); |
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70 | } |
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71 | |||
72 | #define DRM_FIXED_POINT 32 |
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73 | #define DRM_FIXED_ONE (1ULL << DRM_FIXED_POINT) |
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74 | #define DRM_FIXED_DECIMAL_MASK (DRM_FIXED_ONE - 1) |
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75 | #define DRM_FIXED_DIGITS_MASK (~DRM_FIXED_DECIMAL_MASK) |
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6336 | serge | 76 | #define DRM_FIXED_EPSILON 1LL |
77 | #define DRM_FIXED_ALMOST_ONE (DRM_FIXED_ONE - DRM_FIXED_EPSILON) |
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4103 | Serge | 78 | |
79 | static inline s64 drm_int2fixp(int a) |
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80 | { |
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81 | return ((s64)a) << DRM_FIXED_POINT; |
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82 | } |
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83 | |||
6336 | serge | 84 | static inline int drm_fixp2int(s64 a) |
4103 | Serge | 85 | { |
86 | return ((s64)a) >> DRM_FIXED_POINT; |
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87 | } |
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88 | |||
6336 | serge | 89 | static inline int drm_fixp2int_ceil(s64 a) |
4103 | Serge | 90 | { |
6336 | serge | 91 | if (a > 0) |
92 | return drm_fixp2int(a + DRM_FIXED_ALMOST_ONE); |
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93 | else |
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94 | return drm_fixp2int(a - DRM_FIXED_ALMOST_ONE); |
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95 | } |
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96 | |||
97 | static inline unsigned drm_fixp_msbset(s64 a) |
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98 | { |
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4103 | Serge | 99 | unsigned shift, sign = (a >> 63) & 1; |
100 | |||
101 | for (shift = 62; shift > 0; --shift) |
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102 | if (((a >> shift) & 1) != sign) |
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103 | return shift; |
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104 | |||
105 | return 0; |
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106 | } |
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107 | |||
108 | static inline s64 drm_fixp_mul(s64 a, s64 b) |
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109 | { |
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110 | unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b); |
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111 | s64 result; |
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112 | |||
113 | if (shift > 61) { |
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114 | shift = shift - 61; |
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115 | a >>= (shift >> 1) + (shift & 1); |
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116 | b >>= shift >> 1; |
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117 | } else |
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118 | shift = 0; |
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119 | |||
120 | result = a * b; |
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121 | |||
122 | if (shift > DRM_FIXED_POINT) |
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123 | return result << (shift - DRM_FIXED_POINT); |
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124 | |||
125 | if (shift < DRM_FIXED_POINT) |
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126 | return result >> (DRM_FIXED_POINT - shift); |
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127 | |||
128 | return result; |
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129 | } |
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130 | |||
131 | static inline s64 drm_fixp_div(s64 a, s64 b) |
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132 | { |
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133 | unsigned shift = 62 - drm_fixp_msbset(a); |
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134 | s64 result; |
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135 | |||
136 | a <<= shift; |
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137 | |||
138 | if (shift < DRM_FIXED_POINT) |
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139 | b >>= (DRM_FIXED_POINT - shift); |
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140 | |||
141 | result = div64_s64(a, b); |
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142 | |||
143 | if (shift > DRM_FIXED_POINT) |
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144 | return result >> (shift - DRM_FIXED_POINT); |
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145 | |||
146 | return result; |
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147 | } |
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148 | |||
6336 | serge | 149 | static inline s64 drm_fixp_from_fraction(s64 a, s64 b) |
150 | { |
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151 | s64 res; |
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152 | bool a_neg = a < 0; |
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153 | bool b_neg = b < 0; |
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154 | u64 a_abs = a_neg ? -a : a; |
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155 | u64 b_abs = b_neg ? -b : b; |
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156 | u64 rem; |
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157 | |||
158 | /* determine integer part */ |
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159 | u64 res_abs = div64_u64_rem(a_abs, b_abs, &rem); |
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160 | |||
161 | /* determine fractional part */ |
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162 | { |
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163 | u32 i = DRM_FIXED_POINT; |
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164 | |||
165 | do { |
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166 | rem <<= 1; |
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167 | res_abs <<= 1; |
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168 | if (rem >= b_abs) { |
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169 | res_abs |= 1; |
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170 | rem -= b_abs; |
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171 | } |
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172 | } while (--i != 0); |
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173 | } |
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174 | |||
175 | /* round up LSB */ |
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176 | { |
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177 | u64 summand = (rem << 1) >= b_abs; |
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178 | |||
179 | res_abs += summand; |
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180 | } |
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181 | |||
182 | res = (s64) res_abs; |
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183 | if (a_neg ^ b_neg) |
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184 | res = -res; |
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185 | return res; |
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186 | } |
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187 | |||
4103 | Serge | 188 | static inline s64 drm_fixp_exp(s64 x) |
189 | { |
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190 | s64 tolerance = div64_s64(DRM_FIXED_ONE, 1000000); |
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191 | s64 sum = DRM_FIXED_ONE, term, y = x; |
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192 | u64 count = 1; |
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193 | |||
194 | if (x < 0) |
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195 | y = -1 * x; |
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196 | |||
197 | term = y; |
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198 | |||
199 | while (term >= tolerance) { |
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200 | sum = sum + term; |
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201 | count = count + 1; |
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202 | term = drm_fixp_mul(term, div64_s64(y, count)); |
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203 | } |
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204 | |||
205 | if (x < 0) |
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206 | sum = drm_fixp_div(DRM_FIXED_ONE, sum); |
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207 | |||
208 | return sum; |
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209 | } |
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210 | |||
211 | #endif>>><>=><=>=><=>>>>=><=>>><>><>><>><>><>><>><>><>><> |