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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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nuclear@0
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312 z1 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
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nuclear@0
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313 tmp0 = MULTIPLY(z1, - FIX_0_720959822); /* sqrt(2) * (c7-c5+c3-c1) */
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nuclear@0
|
314 z1 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
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nuclear@0
|
315 tmp0 += MULTIPLY(z1, FIX_0_850430095); /* sqrt(2) * (-c1+c3+c5+c7) */
|
nuclear@0
|
316 z1 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
|
nuclear@0
|
317 tmp0 += MULTIPLY(z1, - FIX_1_272758580); /* sqrt(2) * (-c1+c3-c5-c7) */
|
nuclear@0
|
318 z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
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nuclear@0
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319 tmp0 += MULTIPLY(z1, FIX_3_624509785); /* sqrt(2) * (c1+c3+c5+c7) */
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nuclear@0
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320
|
nuclear@0
|
321 /* Final output stage */
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nuclear@0
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322
|
nuclear@0
|
323 wsptr[DCTSIZE*0] = (int) DESCALE(tmp10 + tmp0, CONST_BITS-PASS1_BITS+2);
|
nuclear@0
|
324 wsptr[DCTSIZE*1] = (int) DESCALE(tmp10 - tmp0, CONST_BITS-PASS1_BITS+2);
|
nuclear@0
|
325 }
|
nuclear@0
|
326
|
nuclear@0
|
327 /* Pass 2: process 2 rows from work array, store into output array. */
|
nuclear@0
|
328
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nuclear@0
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329 wsptr = workspace;
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nuclear@0
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330 for (ctr = 0; ctr < 2; ctr++) {
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nuclear@0
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331 outptr = output_buf[ctr] + output_col;
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nuclear@0
|
332 /* It's not clear whether a zero row test is worthwhile here ... */
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nuclear@0
|
333
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nuclear@0
|
334 #ifndef NO_ZERO_ROW_TEST
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nuclear@0
|
335 if (wsptr[1] == 0 && wsptr[3] == 0 && wsptr[5] == 0 && wsptr[7] == 0) {
|
nuclear@0
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336 /* AC terms all zero */
|
nuclear@0
|
337 JSAMPLE dcval = range_limit[(int) DESCALE((INT32) wsptr[0], PASS1_BITS+3)
|
nuclear@0
|
338 & RANGE_MASK];
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nuclear@0
|
339
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nuclear@0
|
340 outptr[0] = dcval;
|
nuclear@0
|
341 outptr[1] = dcval;
|
nuclear@0
|
342
|
nuclear@0
|
343 wsptr += DCTSIZE; /* advance pointer to next row */
|
nuclear@0
|
344 continue;
|
nuclear@0
|
345 }
|
nuclear@0
|
346 #endif
|
nuclear@0
|
347
|
nuclear@0
|
348 /* Even part */
|
nuclear@0
|
349
|
nuclear@0
|
350 tmp10 = ((INT32) wsptr[0]) << (CONST_BITS+2);
|
nuclear@0
|
351
|
nuclear@0
|
352 /* Odd part */
|
nuclear@0
|
353
|
nuclear@0
|
354 tmp0 = MULTIPLY((INT32) wsptr[7], - FIX_0_720959822) /* sqrt(2) * (c7-c5+c3-c1) */
|
nuclear@0
|
355 + MULTIPLY((INT32) wsptr[5], FIX_0_850430095) /* sqrt(2) * (-c1+c3+c5+c7) */
|
nuclear@0
|
356 + MULTIPLY((INT32) wsptr[3], - FIX_1_272758580) /* sqrt(2) * (-c1+c3-c5-c7) */
|
nuclear@0
|
357 + MULTIPLY((INT32) wsptr[1], FIX_3_624509785); /* sqrt(2) * (c1+c3+c5+c7) */
|
nuclear@0
|
358
|
nuclear@0
|
359 /* Final output stage */
|
nuclear@0
|
360
|
nuclear@0
|
361 outptr[0] = range_limit[(int) DESCALE(tmp10 + tmp0,
|
nuclear@0
|
362 CONST_BITS+PASS1_BITS+3+2)
|
nuclear@0
|
363 & RANGE_MASK];
|
nuclear@0
|
364 outptr[1] = range_limit[(int) DESCALE(tmp10 - tmp0,
|
nuclear@0
|
365 CONST_BITS+PASS1_BITS+3+2)
|
nuclear@0
|
366 & RANGE_MASK];
|
nuclear@0
|
367
|
nuclear@0
|
368 wsptr += DCTSIZE; /* advance pointer to next row */
|
nuclear@0
|
369 }
|
nuclear@0
|
370 }
|
nuclear@0
|
371
|
nuclear@0
|
372
|
nuclear@0
|
373 /*
|
nuclear@0
|
374 * Perform dequantization and inverse DCT on one block of coefficients,
|
nuclear@0
|
375 * producing a reduced-size 1x1 output block.
|
nuclear@0
|
376 */
|
nuclear@0
|
377
|
nuclear@0
|
378 GLOBAL(void)
|
nuclear@0
|
379 jpeg_idct_1x1 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
|
nuclear@0
|
380 JCOEFPTR coef_block,
|
nuclear@0
|
381 JSAMPARRAY output_buf, JDIMENSION output_col)
|
nuclear@0
|
382 {
|
nuclear@0
|
383 int dcval;
|
nuclear@0
|
384 ISLOW_MULT_TYPE * quantptr;
|
nuclear@0
|
385 JSAMPLE *range_limit = IDCT_range_limit(cinfo);
|
nuclear@0
|
386 SHIFT_TEMPS
|
nuclear@0
|
387
|
nuclear@0
|
388 /* We hardly need an inverse DCT routine for this: just take the
|
nuclear@0
|
389 * average pixel value, which is one-eighth of the DC coefficient.
|
nuclear@0
|
390 */
|
nuclear@0
|
391 quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
|
nuclear@0
|
392 dcval = DEQUANTIZE(coef_block[0], quantptr[0]);
|
nuclear@0
|
393 dcval = (int) DESCALE((INT32) dcval, 3);
|
nuclear@0
|
394
|
nuclear@0
|
395 output_buf[0][output_col] = range_limit[dcval & RANGE_MASK];
|
nuclear@0
|
396 }
|
nuclear@0
|
397
|
nuclear@0
|
398 #endif /* IDCT_SCALING_SUPPORTED */
|