1 | /*
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2 | * jidctred.c
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3 | *
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4 | * Copyright (C) 1994-1998, Thomas G. Lane.
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5 | * This file is part of the Independent JPEG Group's software.
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6 | * For conditions of distribution and use, see the accompanying README file.
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7 | *
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8 | * This file contains inverse-DCT routines that produce reduced-size output:
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9 | * either 4x4, 2x2, or 1x1 pixels from an 8x8 DCT block.
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10 | *
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11 | * The implementation is based on the Loeffler, Ligtenberg and Moschytz (LL&M)
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12 | * algorithm used in jidctint.c. We simply replace each 8-to-8 1-D IDCT step
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13 | * with an 8-to-4 step that produces the four averages of two adjacent outputs
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14 | * (or an 8-to-2 step producing two averages of four outputs, for 2x2 output).
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15 | * These steps were derived by computing the corresponding values at the end
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16 | * of the normal LL&M code, then simplifying as much as possible.
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17 | *
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18 | * 1x1 is trivial: just take the DC coefficient divided by 8.
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19 | *
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20 | * See jidctint.c for additional comments.
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21 | */
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22 |
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23 | #define JPEG_INTERNALS
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24 | #include "jinclude.h"
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25 | #include "jpeglib.h"
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26 | #include "jdct.h" /* Private declarations for DCT subsystem */
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27 |
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28 | #ifdef IDCT_SCALING_SUPPORTED
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29 |
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30 |
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31 | /*
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32 | * This module is specialized to the case DCTSIZE = 8.
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33 | */
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34 |
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35 | #if DCTSIZE != 8
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36 | Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */
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37 | #endif
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38 |
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39 |
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40 | /* Scaling is the same as in jidctint.c. */
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41 |
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42 | #if BITS_IN_JSAMPLE == 8
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43 | #define CONST_BITS 13
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44 | #define PASS1_BITS 2
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45 | #else
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46 | #define CONST_BITS 13
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47 | #define PASS1_BITS 1 /* lose a little precision to avoid overflow */
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48 | #endif
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49 |
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50 | /* Some C compilers fail to reduce "FIX(constant)" at compile time, thus
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51 | * causing a lot of useless floating-point operations at run time.
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52 | * To get around this we use the following pre-calculated constants.
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53 | * If you change CONST_BITS you may want to add appropriate values.
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54 | * (With a reasonable C compiler, you can just rely on the FIX() macro...)
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55 | */
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56 |
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57 | #if CONST_BITS == 13
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58 | #define FIX_0_211164243 ((INT32) 1730) /* FIX(0.211164243) */
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59 | #define FIX_0_509795579 ((INT32) 4176) /* FIX(0.509795579) */
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60 | #define FIX_0_601344887 ((INT32) 4926) /* FIX(0.601344887) */
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61 | #define FIX_0_720959822 ((INT32) 5906) /* FIX(0.720959822) */
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62 | #define FIX_0_765366865 ((INT32) 6270) /* FIX(0.765366865) */
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63 | #define FIX_0_850430095 ((INT32) 6967) /* FIX(0.850430095) */
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64 | #define FIX_0_899976223 ((INT32) 7373) /* FIX(0.899976223) */
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65 | #define FIX_1_061594337 ((INT32) 8697) /* FIX(1.061594337) */
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66 | #define FIX_1_272758580 ((INT32) 10426) /* FIX(1.272758580) */
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67 | #define FIX_1_451774981 ((INT32) 11893) /* FIX(1.451774981) */
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68 | #define FIX_1_847759065 ((INT32) 15137) /* FIX(1.847759065) */
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69 | #define FIX_2_172734803 ((INT32) 17799) /* FIX(2.172734803) */
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70 | #define FIX_2_562915447 ((INT32) 20995) /* FIX(2.562915447) */
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71 | #define FIX_3_624509785 ((INT32) 29692) /* FIX(3.624509785) */
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72 | #else
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73 | #define FIX_0_211164243 FIX(0.211164243)
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74 | #define FIX_0_509795579 FIX(0.509795579)
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75 | #define FIX_0_601344887 FIX(0.601344887)
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76 | #define FIX_0_720959822 FIX(0.720959822)
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77 | #define FIX_0_765366865 FIX(0.765366865)
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78 | #define FIX_0_850430095 FIX(0.850430095)
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79 | #define FIX_0_899976223 FIX(0.899976223)
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80 | #define FIX_1_061594337 FIX(1.061594337)
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81 | #define FIX_1_272758580 FIX(1.272758580)
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82 | #define FIX_1_451774981 FIX(1.451774981)
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83 | #define FIX_1_847759065 FIX(1.847759065)
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84 | #define FIX_2_172734803 FIX(2.172734803)
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85 | #define FIX_2_562915447 FIX(2.562915447)
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86 | #define FIX_3_624509785 FIX(3.624509785)
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87 | #endif
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88 |
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89 |
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90 | /* Multiply an INT32 variable by an INT32 constant to yield an INT32 result.
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91 | * For 8-bit samples with the recommended scaling, all the variable
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92 | * and constant values involved are no more than 16 bits wide, so a
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93 | * 16x16->32 bit multiply can be used instead of a full 32x32 multiply.
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94 | * For 12-bit samples, a full 32-bit multiplication will be needed.
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95 | */
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96 |
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97 | #if BITS_IN_JSAMPLE == 8
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98 | #define MULTIPLY(var,const) MULTIPLY16C16(var,const)
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99 | #else
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100 | #define MULTIPLY(var,const) ((var) * (const))
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101 | #endif
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102 |
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103 |
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104 | /* Dequantize a coefficient by multiplying it by the multiplier-table
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105 | * entry; produce an int result. In this module, both inputs and result
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106 | * are 16 bits or less, so either int or short multiply will work.
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107 | */
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108 |
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109 | #define DEQUANTIZE(coef,quantval) (((ISLOW_MULT_TYPE) (coef)) * (quantval))
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110 |
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111 |
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112 | /*
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113 | * Perform dequantization and inverse DCT on one block of coefficients,
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114 | * producing a reduced-size 4x4 output block.
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115 | */
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116 |
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117 | GLOBAL(void)
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118 | jpeg_idct_4x4 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
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119 | JCOEFPTR coef_block,
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120 | JSAMPARRAY output_buf, JDIMENSION output_col)
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121 | {
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122 | INT32 tmp0, tmp2, tmp10, tmp12;
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123 | INT32 z1, z2, z3, z4;
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124 | JCOEFPTR inptr;
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125 | ISLOW_MULT_TYPE * quantptr;
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126 | int * wsptr;
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127 | JSAMPROW outptr;
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128 | JSAMPLE *range_limit = IDCT_range_limit(cinfo);
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129 | int ctr;
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130 | int workspace[DCTSIZE*4]; /* buffers data between passes */
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131 | SHIFT_TEMPS
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132 |
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133 | /* Pass 1: process columns from input, store into work array. */
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134 |
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135 | inptr = coef_block;
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136 | quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
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137 | wsptr = workspace;
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138 | for (ctr = DCTSIZE; ctr > 0; inptr++, quantptr++, wsptr++, ctr--) {
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139 | /* Don't bother to process column 4, because second pass won't use it */
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140 | if (ctr == DCTSIZE-4)
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141 | continue;
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142 | if (inptr[DCTSIZE*1] == 0 && inptr[DCTSIZE*2] == 0 &&
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143 | inptr[DCTSIZE*3] == 0 && inptr[DCTSIZE*5] == 0 &&
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144 | inptr[DCTSIZE*6] == 0 && inptr[DCTSIZE*7] == 0) {
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145 | /* AC terms all zero; we need not examine term 4 for 4x4 output */
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146 | int dcval = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]) << PASS1_BITS;
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147 |
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148 | wsptr[DCTSIZE*0] = dcval;
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149 | wsptr[DCTSIZE*1] = dcval;
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150 | wsptr[DCTSIZE*2] = dcval;
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151 | wsptr[DCTSIZE*3] = dcval;
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152 |
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153 | continue;
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154 | }
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155 |
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156 | /* Even part */
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157 |
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158 | tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
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159 | tmp0 <<= (CONST_BITS+1);
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160 |
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161 | z2 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
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162 | z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
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163 |
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164 | tmp2 = MULTIPLY(z2, FIX_1_847759065) + MULTIPLY(z3, - FIX_0_765366865);
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165 |
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166 | tmp10 = tmp0 + tmp2;
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167 | tmp12 = tmp0 - tmp2;
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168 |
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169 | /* Odd part */
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170 |
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171 | z1 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
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172 | z2 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
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173 | z3 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
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174 | z4 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
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175 |
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176 | tmp0 = MULTIPLY(z1, - FIX_0_211164243) /* sqrt(2) * (c3-c1) */
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177 | + MULTIPLY(z2, FIX_1_451774981) /* sqrt(2) * (c3+c7) */
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178 | + MULTIPLY(z3, - FIX_2_172734803) /* sqrt(2) * (-c1-c5) */
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179 | + MULTIPLY(z4, FIX_1_061594337); /* sqrt(2) * (c5+c7) */
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180 |
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181 | tmp2 = MULTIPLY(z1, - FIX_0_509795579) /* sqrt(2) * (c7-c5) */
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182 | + MULTIPLY(z2, - FIX_0_601344887) /* sqrt(2) * (c5-c1) */
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183 | + MULTIPLY(z3, FIX_0_899976223) /* sqrt(2) * (c3-c7) */
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184 | + MULTIPLY(z4, FIX_2_562915447); /* sqrt(2) * (c1+c3) */
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185 |
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186 | /* Final output stage */
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187 |
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188 | wsptr[DCTSIZE*0] = (int) DESCALE(tmp10 + tmp2, CONST_BITS-PASS1_BITS+1);
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189 | wsptr[DCTSIZE*3] = (int) DESCALE(tmp10 - tmp2, CONST_BITS-PASS1_BITS+1);
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190 | wsptr[DCTSIZE*1] = (int) DESCALE(tmp12 + tmp0, CONST_BITS-PASS1_BITS+1);
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191 | wsptr[DCTSIZE*2] = (int) DESCALE(tmp12 - tmp0, CONST_BITS-PASS1_BITS+1);
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192 | }
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193 |
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194 | /* Pass 2: process 4 rows from work array, store into output array. */
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195 |
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196 | wsptr = workspace;
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197 | for (ctr = 0; ctr < 4; ctr++) {
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198 | outptr = output_buf[ctr] + output_col;
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199 | /* It's not clear whether a zero row test is worthwhile here ... */
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200 |
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201 | #ifndef NO_ZERO_ROW_TEST
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202 | if (wsptr[1] == 0 && wsptr[2] == 0 && wsptr[3] == 0 &&
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203 | wsptr[5] == 0 && wsptr[6] == 0 && wsptr[7] == 0) {
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204 | /* AC terms all zero */
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205 | JSAMPLE dcval = range_limit[(int) DESCALE((INT32) wsptr[0], PASS1_BITS+3)
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206 | & RANGE_MASK];
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207 |
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208 | outptr[0] = dcval;
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209 | outptr[1] = dcval;
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210 | outptr[2] = dcval;
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211 | outptr[3] = dcval;
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212 |
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213 | wsptr += DCTSIZE; /* advance pointer to next row */
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214 | continue;
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215 | }
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216 | #endif
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217 |
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218 | /* Even part */
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219 |
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220 | tmp0 = ((INT32) wsptr[0]) << (CONST_BITS+1);
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221 |
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222 | tmp2 = MULTIPLY((INT32) wsptr[2], FIX_1_847759065)
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223 | + MULTIPLY((INT32) wsptr[6], - FIX_0_765366865);
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224 |
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225 | tmp10 = tmp0 + tmp2;
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226 | tmp12 = tmp0 - tmp2;
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227 |
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228 | /* Odd part */
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229 |
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230 | z1 = (INT32) wsptr[7];
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231 | z2 = (INT32) wsptr[5];
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232 | z3 = (INT32) wsptr[3];
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233 | z4 = (INT32) wsptr[1];
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234 |
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235 | tmp0 = MULTIPLY(z1, - FIX_0_211164243) /* sqrt(2) * (c3-c1) */
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236 | + MULTIPLY(z2, FIX_1_451774981) /* sqrt(2) * (c3+c7) */
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237 | + MULTIPLY(z3, - FIX_2_172734803) /* sqrt(2) * (-c1-c5) */
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238 | + MULTIPLY(z4, FIX_1_061594337); /* sqrt(2) * (c5+c7) */
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239 |
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240 | tmp2 = MULTIPLY(z1, - FIX_0_509795579) /* sqrt(2) * (c7-c5) */
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241 | + MULTIPLY(z2, - FIX_0_601344887) /* sqrt(2) * (c5-c1) */
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242 | + MULTIPLY(z3, FIX_0_899976223) /* sqrt(2) * (c3-c7) */
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243 | + MULTIPLY(z4, FIX_2_562915447); /* sqrt(2) * (c1+c3) */
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244 |
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245 | /* Final output stage */
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246 |
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247 | outptr[0] = range_limit[(int) DESCALE(tmp10 + tmp2,
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248 | CONST_BITS+PASS1_BITS+3+1)
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249 | & RANGE_MASK];
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250 | outptr[3] = range_limit[(int) DESCALE(tmp10 - tmp2,
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251 | CONST_BITS+PASS1_BITS+3+1)
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252 | & RANGE_MASK];
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253 | outptr[1] = range_limit[(int) DESCALE(tmp12 + tmp0,
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254 | CONST_BITS+PASS1_BITS+3+1)
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255 | & RANGE_MASK];
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256 | outptr[2] = range_limit[(int) DESCALE(tmp12 - tmp0,
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257 | CONST_BITS+PASS1_BITS+3+1)
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258 | & RANGE_MASK];
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259 |
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260 | wsptr += DCTSIZE; /* advance pointer to next row */
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261 | }
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262 | }
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263 |
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264 |
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265 | /*
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266 | * Perform dequantization and inverse DCT on one block of coefficients,
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267 | * producing a reduced-size 2x2 output block.
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268 | */
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269 |
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270 | GLOBAL(void)
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271 | jpeg_idct_2x2 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
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272 | JCOEFPTR coef_block,
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273 | JSAMPARRAY output_buf, JDIMENSION output_col)
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274 | {
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275 | INT32 tmp0, tmp10, z1;
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276 | JCOEFPTR inptr;
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277 | ISLOW_MULT_TYPE * quantptr;
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278 | int * wsptr;
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279 | JSAMPROW outptr;
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280 | JSAMPLE *range_limit = IDCT_range_limit(cinfo);
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281 | int ctr;
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282 | int workspace[DCTSIZE*2]; /* buffers data between passes */
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283 | SHIFT_TEMPS
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284 |
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285 | /* Pass 1: process columns from input, store into work array. */
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286 |
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287 | inptr = coef_block;
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288 | quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
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289 | wsptr = workspace;
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290 | for (ctr = DCTSIZE; ctr > 0; inptr++, quantptr++, wsptr++, ctr--) {
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291 | /* Don't bother to process columns 2,4,6 */
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292 | if (ctr == DCTSIZE-2 || ctr == DCTSIZE-4 || ctr == DCTSIZE-6)
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293 | continue;
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294 | if (inptr[DCTSIZE*1] == 0 && inptr[DCTSIZE*3] == 0 &&
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295 | inptr[DCTSIZE*5] == 0 && inptr[DCTSIZE*7] == 0) {
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296 | /* AC terms all zero; we need not examine terms 2,4,6 for 2x2 output */
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297 | int dcval = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]) << PASS1_BITS;
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298 |
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299 | wsptr[DCTSIZE*0] = dcval;
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300 | wsptr[DCTSIZE*1] = dcval;
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301 |
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302 | continue;
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303 | }
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304 |
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305 | /* Even part */
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306 |
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307 | z1 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
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308 | tmp10 = z1 << (CONST_BITS+2);
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309 |
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310 | /* Odd part */
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311 |
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312 | z1 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
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313 | tmp0 = MULTIPLY(z1, - FIX_0_720959822); /* sqrt(2) * (c7-c5+c3-c1) */
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314 | z1 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
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315 | tmp0 += MULTIPLY(z1, FIX_0_850430095); /* sqrt(2) * (-c1+c3+c5+c7) */
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316 | z1 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
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317 | tmp0 += MULTIPLY(z1, - FIX_1_272758580); /* sqrt(2) * (-c1+c3-c5-c7) */
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318 | z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
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319 | tmp0 += MULTIPLY(z1, FIX_3_624509785); /* sqrt(2) * (c1+c3+c5+c7) */
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320 |
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321 | /* Final output stage */
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322 |
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323 | wsptr[DCTSIZE*0] = (int) DESCALE(tmp10 + tmp0, CONST_BITS-PASS1_BITS+2);
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324 | wsptr[DCTSIZE*1] = (int) DESCALE(tmp10 - tmp0, CONST_BITS-PASS1_BITS+2);
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325 | }
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326 |
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327 | /* Pass 2: process 2 rows from work array, store into output array. */
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328 |
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329 | wsptr = workspace;
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330 | for (ctr = 0; ctr < 2; ctr++) {
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331 | outptr = output_buf[ctr] + output_col;
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332 | /* It's not clear whether a zero row test is worthwhile here ... */
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333 |
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334 | #ifndef NO_ZERO_ROW_TEST
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335 | if (wsptr[1] == 0 && wsptr[3] == 0 && wsptr[5] == 0 && wsptr[7] == 0) {
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336 | /* AC terms all zero */
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337 | JSAMPLE dcval = range_limit[(int) DESCALE((INT32) wsptr[0], PASS1_BITS+3)
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338 | & RANGE_MASK];
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339 |
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340 | outptr[0] = dcval;
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341 | outptr[1] = dcval;
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342 |
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343 | wsptr += DCTSIZE; /* advance pointer to next row */
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344 | continue;
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345 | }
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346 | #endif
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347 |
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348 | /* Even part */
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349 |
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350 | tmp10 = ((INT32) wsptr[0]) << (CONST_BITS+2);
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351 |
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352 | /* Odd part */
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353 |
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354 | tmp0 = MULTIPLY((INT32) wsptr[7], - FIX_0_720959822) /* sqrt(2) * (c7-c5+c3-c1) */
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355 | + MULTIPLY((INT32) wsptr[5], FIX_0_850430095) /* sqrt(2) * (-c1+c3+c5+c7) */
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356 | + MULTIPLY((INT32) wsptr[3], - FIX_1_272758580) /* sqrt(2) * (-c1+c3-c5-c7) */
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357 | + MULTIPLY((INT32) wsptr[1], FIX_3_624509785); /* sqrt(2) * (c1+c3+c5+c7) */
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358 |
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359 | /* Final output stage */
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360 |
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361 | outptr[0] = range_limit[(int) DESCALE(tmp10 + tmp0,
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362 | CONST_BITS+PASS1_BITS+3+2)
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363 | & RANGE_MASK];
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364 | outptr[1] = range_limit[(int) DESCALE(tmp10 - tmp0,
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365 | CONST_BITS+PASS1_BITS+3+2)
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366 | & RANGE_MASK];
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367 |
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368 | wsptr += DCTSIZE; /* advance pointer to next row */
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369 | }
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370 | }
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371 |
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372 |
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373 | /*
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374 | * Perform dequantization and inverse DCT on one block of coefficients,
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375 | * producing a reduced-size 1x1 output block.
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376 | */
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377 |
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378 | GLOBAL(void)
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379 | jpeg_idct_1x1 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
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380 | JCOEFPTR coef_block,
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381 | JSAMPARRAY output_buf, JDIMENSION output_col)
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382 | {
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383 | int dcval;
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384 | ISLOW_MULT_TYPE * quantptr;
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385 | JSAMPLE *range_limit = IDCT_range_limit(cinfo);
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386 | SHIFT_TEMPS
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387 |
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388 | /* We hardly need an inverse DCT routine for this: just take the
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389 | * average pixel value, which is one-eighth of the DC coefficient.
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390 | */
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391 | quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
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392 | dcval = DEQUANTIZE(coef_block[0], quantptr[0]);
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393 | dcval = (int) DESCALE((INT32) dcval, 3);
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394 |
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395 | output_buf[0][output_col] = range_limit[dcval & RANGE_MASK];
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396 | }
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397 |
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398 | #endif /* IDCT_SCALING_SUPPORTED */
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