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📄 jidctred.c

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    tmp11 = z2 + z4;
    tmp13 = z2 - z4;

    tmp12 = MULTIPLY(tmp13, FIX(0.309016994));        /* (c3-c7)/2 */

    z2 = MULTIPLY(tmp11, FIX(0.951056516));           /* (c3+c7)/2 */
    z4 = z3 + tmp12;

    tmp10 = MULTIPLY(z1, FIX(1.396802247)) + z2 + z4; /* c1 */
    tmp14 = MULTIPLY(z1, FIX(0.221231742)) - z2 + z4; /* c9 */

    z2 = MULTIPLY(tmp11, FIX(0.587785252));           /* (c1-c9)/2 */
    z4 = z3 - tmp12 - (tmp13 << (CONST_BITS - 1));

    tmp12 = ((z1 - tmp13) << CONST_BITS) - z3;

    tmp11 = MULTIPLY(z1, FIX(1.260073511)) - z2 - z4; /* c3 */
    tmp13 = MULTIPLY(z1, FIX(0.642039522)) - z2 + z4; /* c7 */

    /* Final output stage */

    outptr[0] = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[9] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[1] = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[8] = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[2] = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[7] = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[3] = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[6] = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[4] = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];
    outptr[5] = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
					      CONST_BITS+PASS1_BITS+3)
			    & RANGE_MASK];

    wsptr += 8;		/* advance pointer to next row */
  }
}


/*
 * Perform dequantization and inverse DCT on one block of coefficients,
 * producing a 11x11 output block.
 *
 * Optimized algorithm with 24 multiplications in the 1-D kernel.
 * cK represents sqrt(2) * cos(K*pi/22).
 */

GLOBAL(void)
jpeg_idct_11x11 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
		 JCOEFPTR coef_block,
		 JSAMPARRAY output_buf, JDIMENSION output_col)
{
  INT32 tmp10, tmp11, tmp12, tmp13, tmp14;
  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25;
  INT32 z1, z2, z3, z4;
  JCOEFPTR inptr;
  ISLOW_MULT_TYPE * quantptr;
  int * wsptr;
  JSAMPROW outptr;
  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  int ctr;
  int workspace[8*11];	/* buffers data between passes */
  SHIFT_TEMPS

  /* Pass 1: process columns from input, store into work array. */

  inptr = coef_block;
  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  wsptr = workspace;
  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
    /* Even part */

    tmp10 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
    tmp10 <<= CONST_BITS;
    /* Add fudge factor here for final descale. */
    tmp10 += ONE << (CONST_BITS-PASS1_BITS-1);

    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
    z2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
    z3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);

    tmp20 = MULTIPLY(z2 - z3, FIX(2.546640132));     /* c2+c4 */
    tmp23 = MULTIPLY(z2 - z1, FIX(0.430815045));     /* c2-c6 */
    z4 = z1 + z3;
    tmp24 = MULTIPLY(z4, - FIX(1.155664402));        /* -(c2-c10) */
    z4 -= z2;
    tmp25 = tmp10 + MULTIPLY(z4, FIX(1.356927976));  /* c2 */
    tmp21 = tmp20 + tmp23 + tmp25 -
	    MULTIPLY(z2, FIX(1.821790775));          /* c2+c4+c10-c6 */
    tmp20 += tmp25 + MULTIPLY(z3, FIX(2.115825087)); /* c4+c6 */
    tmp23 += tmp25 - MULTIPLY(z1, FIX(1.513598477)); /* c6+c8 */
    tmp24 += tmp25;
    tmp22 = tmp24 - MULTIPLY(z3, FIX(0.788749120));  /* c8+c10 */
    tmp24 += MULTIPLY(z2, FIX(1.944413522)) -        /* c2+c8 */
	     MULTIPLY(z1, FIX(1.390975730));         /* c4+c10 */
    tmp25 = tmp10 - MULTIPLY(z4, FIX(1.414213562));  /* c0 */

    /* Odd part */

    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);

    tmp11 = z1 + z2;
    tmp14 = MULTIPLY(tmp11 + z3 + z4, FIX(0.398430003)); /* c9 */
    tmp11 = MULTIPLY(tmp11, FIX(0.887983902));           /* c3-c9 */
    tmp12 = MULTIPLY(z1 + z3, FIX(0.670361295));         /* c5-c9 */
    tmp13 = tmp14 + MULTIPLY(z1 + z4, FIX(0.366151574)); /* c7-c9 */
    tmp10 = tmp11 + tmp12 + tmp13 -
	    MULTIPLY(z1, FIX(0.923107866));              /* c7+c5+c3-c1-2*c9 */
    z1    = tmp14 - MULTIPLY(z2 + z3, FIX(1.163011579)); /* c7+c9 */
    tmp11 += z1 + MULTIPLY(z2, FIX(2.073276588));        /* c1+c7+3*c9-c3 */
    tmp12 += z1 - MULTIPLY(z3, FIX(1.192193623));        /* c3+c5-c7-c9 */
    z1    = MULTIPLY(z2 + z4, - FIX(1.798248910));       /* -(c1+c9) */
    tmp11 += z1;
    tmp13 += z1 + MULTIPLY(z4, FIX(2.102458632));        /* c1+c5+c9-c7 */
    tmp14 += MULTIPLY(z2, - FIX(1.467221301)) +          /* -(c5+c9) */
	     MULTIPLY(z3, FIX(1.001388905)) -            /* c1-c9 */
	     MULTIPLY(z4, FIX(1.684843907));             /* c3+c9 */

    /* Final output stage */

    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
    wsptr[8*10] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25, CONST_BITS-PASS1_BITS);
  }

  /* Pass 2: process 11 rows from work array, store into output array. */

  wsptr = workspace;
  for (ctr = 0; ctr < 11; ctr++) {
    outptr = output_buf[ctr] + output_col;

    /* Even part */

    /* Add fudge factor here for final descale. */
    tmp10 = (INT32) wsptr[0] + (ONE << (PASS1_BITS+2));
    tmp10 <<= CONST_BITS;

    z1 = (INT32) wsptr[2];
    z2 = (INT32) wsptr[4];
    z3 = (INT32) wsptr[6];

    tmp20 = MULTIPLY(z2 - z3, FIX(2.546640132));     /* c2+c4 */
    tmp23 = MULTIPLY(z2 - z1, FIX(0.430815045));     /* c2-c6 */
    z4 = z1 + z3;
    tmp24 = MULTIPLY(z4, - FIX(1.155664402));        /* -(c2-c10) */
    z4 -= z2;
    tmp25 = tmp10 + MULTIPLY(z4, FIX(1.356927976));  /* c2 */
    tmp21 = tmp20 + tmp23 + tmp25 -
	    MULTIPLY(z2, FIX(1.821790775));          /* c2+c4+c10-c6 */
    tmp20 += tmp25 + MULTIPLY(z3, FIX(2.115825087)); /* c4+c6 */
    tmp23 += tmp25 - MULTIPLY(z1, FIX(1.513598477)); /* c6+c8 */
    tmp24 += tmp25;
    tmp22 = tmp24 - MULTIPLY(z3, FIX(0.788749120));  /* c8+c10 */
    tmp24 += MULTIPLY(z2, FIX(1.944413522)) -        /* c2+c8 */
	     MULTIPLY(z1, FIX(1.390975730));         /* c4+c10 */
    tmp25 = tmp10 - MULTIPLY(z4, FIX(1.414213562));  /* c0 */

    /* Odd part */

    z1 = (INT32) wsptr[1];
    z2 = (INT32) wsptr[3];
    z3 = (INT32) wsptr[5];
    z4 = (INT32) wsptr[7];

    tmp11 = z1 + z2;
    tmp14 = MULTIPLY(tmp11 + z3 + z4, FIX(0.398430003)); /* c9 */
    tmp11 = MULTIPLY(tmp11, FIX(0.887983902));           /* c3-c9 */
    tmp12 = MULTIPLY(z1 + z3, FIX(0.670361295));         /* c5-c9 */
    tmp13 = tmp14 + MULTIPLY(z1 + z4, FIX(0.366151574)); /* c7-c9 */
    tmp10 = tmp11 + tmp12 + tmp13 -
	    MULTIPLY(z1, FIX(0.923107866));              /* c7+c5+c3-c1-2*c9 */
    z1    = tmp14 - MULTIPLY(z2 + z3, FIX(1.163011579)); /* c7+c9 */
    tmp11 += z1 + MULTIPLY(z2, FIX(2.073276588));        /* c1+c7+3*c9-c3 */
    tmp12 += z1 - MULTIPLY(z3, FIX(1.192193623));        /* c3+c5-c7-c9 */
    z1    = MULTIPLY(z2 + z4, - FIX(1.798248910));       /* -(c1+c9) */
    tmp11 += z1;
    tmp13 += z1 + MULTIPLY(z4, FIX(2.102458632));        /* c1+c5+c9-c7 */
    tmp14 += MULTIPLY(z2, - FIX(1.467221301)) +          /* -(c5+c9) */
	     MULTIPLY(z3, FIX(1.001388905)) -            /* c1-c9 */
	     MULTIPLY(z4, FIX(1.684843907));             /* c3+c9 */

    /* Final output stage */

    outptr[0]  = range_limit[(int) RIGHT_SHIFT(tmp20 + tmp10,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[10] = range_limit[(int) RIGHT_SHIFT(tmp20 - tmp10,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[1]  = range_limit[(int) RIGHT_SHIFT(tmp21 + tmp11,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[9]  = range_limit[(int) RIGHT_SHIFT(tmp21 - tmp11,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[2]  = range_limit[(int) RIGHT_SHIFT(tmp22 + tmp12,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[8]  = range_limit[(int) RIGHT_SHIFT(tmp22 - tmp12,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[3]  = range_limit[(int) RIGHT_SHIFT(tmp23 + tmp13,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[7]  = range_limit[(int) RIGHT_SHIFT(tmp23 - tmp13,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[4]  = range_limit[(int) RIGHT_SHIFT(tmp24 + tmp14,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[6]  = range_limit[(int) RIGHT_SHIFT(tmp24 - tmp14,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];
    outptr[5]  = range_limit[(int) RIGHT_SHIFT(tmp25,
					       CONST_BITS+PASS1_BITS+3)
			     & RANGE_MASK];

    wsptr += 8;		/* advance pointer to next row */
  }
}


/*
 * Perform dequantization and inverse DCT on one block of coefficients,
 * producing a 12x12 output block.
 *
 * Optimized algorithm with 15 multiplications in the 1-D kernel.
 * cK represents sqrt(2) * cos(K*pi/24).
 */

GLOBAL(void)
jpeg_idct_12x12 (j_decompress_ptr cinfo, jpeg_component_info * compptr,
		 JCOEFPTR coef_block,
		 JSAMPARRAY output_buf, JDIMENSION output_col)
{
  INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15;
  INT32 tmp20, tmp21, tmp22, tmp23, tmp24, tmp25;
  INT32 z1, z2, z3, z4;
  JCOEFPTR inptr;
  ISLOW_MULT_TYPE * quantptr;
  int * wsptr;
  JSAMPROW outptr;
  JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  int ctr;
  int workspace[8*12];	/* buffers data between passes */
  SHIFT_TEMPS

  /* Pass 1: process columns from input, store into work array. */

  inptr = coef_block;
  quantptr = (ISLOW_MULT_TYPE *) compptr->dct_table;
  wsptr = workspace;
  for (ctr = 0; ctr < 8; ctr++, inptr++, quantptr++, wsptr++) {
    /* Even part */

    z3 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
    z3 <<= CONST_BITS;
    /* Add fudge factor here for final descale. */
    z3 += ONE << (CONST_BITS-PASS1_BITS-1);

    z4 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
    z4 = MULTIPLY(z4, FIX(1.224744871)); /* c4 */

    tmp10 = z3 + z4;
    tmp11 = z3 - z4;

    z1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
    z4 = MULTIPLY(z1, FIX(1.366025404)); /* c2 */
    z1 <<= CONST_BITS;
    z2 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
    z2 <<= CONST_BITS;

    tmp12 = z1 - z2;

    tmp21 = z3 + tmp12;
    tmp24 = z3 - tmp12;

    tmp12 = z4 + z2;

    tmp20 = tmp10 + tmp12;
    tmp25 = tmp10 - tmp12;

    tmp12 = z4 - z1 - z2;

    tmp22 = tmp11 + tmp12;
    tmp23 = tmp11 - tmp12;

    /* Odd part */

    z1 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
    z2 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
    z3 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
    z4 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);

    tmp11 = MULTIPLY(z2, FIX(1.306562965));                  /* c3 */
    tmp14 = MULTIPLY(z2, - FIX_0_541196100);                 /* -c9 */

    tmp10 = z1 + z3;
    tmp15 = MULTIPLY(tmp10 + z4, FIX(0.860918669));          /* c7 */
    tmp12 = tmp15 + MULTIPLY(tmp10, FIX(0.261052384));       /* c5-c7 */
    tmp10 = tmp12 + tmp11 + MULTIPLY(z1, FIX(0.280143716));  /* c1-c5 */
    tmp13 = MULTIPLY(z3 + z4, - FIX(1.045510580));           /* -(c7+c11) */
    tmp12 += tmp13 + tmp14 - MULTIPLY(z3, FIX(1.478575242)); /* c1+c5-c7-c11 */
    tmp13 += tmp15 - tmp11 + MULTIPLY(z4, FIX(1.586706681)); /* c1+c11 */
    tmp15 += tmp14 - MULTIPLY(z1, FIX(0.676326758)) -        /* c7-c11 */
	     MULTIPLY(z4, FIX(1.982889723));                 /* c5+c7 */

    z1 -= z4;
    z2 -= z3;
    z3 = MULTIPLY(z1 + z2, FIX_0_541196100);                 /* c9 */
    tmp11 = z3 + MULTIPLY(z1, FIX_0_765366865);              /* c3-c9 */
    tmp14 = z3 - MULTIPLY(z2, FIX_1_847759065);              /* c3+c9 */

    /* Final output stage */

    wsptr[8*0]  = (int) RIGHT_SHIFT(tmp20 + tmp10, CONST_BITS-PASS1_BITS);
    wsptr[8*11] = (int) RIGHT_SHIFT(tmp20 - tmp10, CONST_BITS-PASS1_BITS);
    wsptr[8*1]  = (int) RIGHT_SHIFT(tmp21 + tmp11, CONST_BITS-PASS1_BITS);
    wsptr[8*10] = (int) RIGHT_SHIFT(tmp21 - tmp11, CONST_BITS-PASS1_BITS);
    wsptr[8*2]  = (int) RIGHT_SHIFT(tmp22 + tmp12, CONST_BITS-PASS1_BITS);
    wsptr[8*9]  = (int) RIGHT_SHIFT(tmp22 - tmp12, CONST_BITS-PASS1_BITS);
    wsptr[8*3]  = (int) RIGHT_SHIFT(tmp23 + tmp13, CONST_BITS-PASS1_BITS);
    wsptr[8*8]  = (int) RIGHT_SHIFT(tmp23 - tmp13, CONST_BITS-PASS1_BITS);
    wsptr[8*4]  = (int) RIGHT_SHIFT(tmp24 + tmp14, CONST_BITS-PASS1_BITS);
    wsptr[8*7]  = (int) RIGHT_SHIFT(tmp24 - tmp14, CONST_BITS-PASS1_BITS);
    wsptr[8*5]  = (int) RIGHT_SHIFT(tmp25 + tmp15, CONST_BITS-PASS1_BITS);
    wsptr[8*6]  = (int) RIGHT_SHIFT(tmp25 - tmp15, CONST_BITS-PASS1_BITS);
  }

  /* Pass 2: process 12 rows from work array, store into output array. */

  wsptr = workspace;
  for (ctr = 0; ctr < 12; ctr++) {
    outptr = output_buf[ctr] + output_col;

    /* Even part */

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