diff options
Diffstat (limited to 'src/libjpeg/jfdctint.c')
| -rw-r--r-- | src/libjpeg/jfdctint.c | 4261 |
1 files changed, 4163 insertions, 98 deletions
diff --git a/src/libjpeg/jfdctint.c b/src/libjpeg/jfdctint.c index 0a78b64..1dde58c 100644 --- a/src/libjpeg/jfdctint.c +++ b/src/libjpeg/jfdctint.c @@ -2,6 +2,7 @@ * jfdctint.c * * Copyright (C) 1991-1996, Thomas G. Lane. + * Modification developed 2003-2009 by Guido Vollbeding. * This file is part of the Independent JPEG Group's software. * For conditions of distribution and use, see the accompanying README file. * @@ -21,6 +22,23 @@ * The advantage of this method is that no data path contains more than one * multiplication; this allows a very simple and accurate implementation in * scaled fixed-point arithmetic, with a minimal number of shifts. + * + * We also provide FDCT routines with various input sample block sizes for + * direct resolution reduction or enlargement and for direct resolving the + * common 2x1 and 1x2 subsampling cases without additional resampling: NxN + * (N=1...16), 2NxN, and Nx2N (N=1...8) pixels for one 8x8 output DCT block. + * + * For N<8 we fill the remaining block coefficients with zero. + * For N>8 we apply a partial N-point FDCT on the input samples, computing + * just the lower 8 frequency coefficients and discarding the rest. + * + * We must scale the output coefficients of the N-point FDCT appropriately + * to the standard 8-point FDCT level by 8/N per 1-D pass. This scaling + * is folded into the constant multipliers (pass 2) and/or final/initial + * shifting. + * + * CAUTION: We rely on the FIX() macro except for the N=1,2,4,8 cases + * since there would be too many additional constants to pre-calculate. */ #define JPEG_INTERNALS @@ -36,7 +54,7 @@ */ #if DCTSIZE != 8 - Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */ + Sorry, this code only copes with 8x8 DCT blocks. /* deliberate syntax err */ #endif @@ -137,12 +155,13 @@ */ GLOBAL(void) -jpeg_fdct_islow (DCTELEM * data) +jpeg_fdct_islow (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) { - INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; + INT32 tmp0, tmp1, tmp2, tmp3; INT32 tmp10, tmp11, tmp12, tmp13; - INT32 z1, z2, z3, z4, z5; + INT32 z1; DCTELEM *dataptr; + JSAMPROW elemptr; int ctr; SHIFT_TEMPS @@ -151,62 +170,74 @@ jpeg_fdct_islow (DCTELEM * data) /* furthermore, we scale the results by 2**PASS1_BITS. */ dataptr = data; - for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { - tmp0 = dataptr[0] + dataptr[7]; - tmp7 = dataptr[0] - dataptr[7]; - tmp1 = dataptr[1] + dataptr[6]; - tmp6 = dataptr[1] - dataptr[6]; - tmp2 = dataptr[2] + dataptr[5]; - tmp5 = dataptr[2] - dataptr[5]; - tmp3 = dataptr[3] + dataptr[4]; - tmp4 = dataptr[3] - dataptr[4]; - + for (ctr = 0; ctr < DCTSIZE; ctr++) { + elemptr = sample_data[ctr] + start_col; + /* Even part per LL&M figure 1 --- note that published figure is faulty; * rotator "sqrt(2)*c1" should be "sqrt(2)*c6". */ - + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[7]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[6]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[5]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[4]); + tmp10 = tmp0 + tmp3; - tmp13 = tmp0 - tmp3; + tmp12 = tmp0 - tmp3; tmp11 = tmp1 + tmp2; - tmp12 = tmp1 - tmp2; - - dataptr[0] = (DCTELEM) ((tmp10 + tmp11) << PASS1_BITS); + tmp13 = tmp1 - tmp2; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[7]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[6]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[5]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[4]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) ((tmp10 + tmp11 - 8 * CENTERJSAMPLE) << PASS1_BITS); dataptr[4] = (DCTELEM) ((tmp10 - tmp11) << PASS1_BITS); - + z1 = MULTIPLY(tmp12 + tmp13, FIX_0_541196100); - dataptr[2] = (DCTELEM) DESCALE(z1 + MULTIPLY(tmp13, FIX_0_765366865), - CONST_BITS-PASS1_BITS); - dataptr[6] = (DCTELEM) DESCALE(z1 + MULTIPLY(tmp12, - FIX_1_847759065), - CONST_BITS-PASS1_BITS); - + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS-PASS1_BITS-1); + dataptr[2] = (DCTELEM) RIGHT_SHIFT(z1 + MULTIPLY(tmp12, FIX_0_765366865), + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) RIGHT_SHIFT(z1 - MULTIPLY(tmp13, FIX_1_847759065), + CONST_BITS-PASS1_BITS); + /* Odd part per figure 8 --- note paper omits factor of sqrt(2). - * cK represents cos(K*pi/16). - * i0..i3 in the paper are tmp4..tmp7 here. + * cK represents sqrt(2) * cos(K*pi/16). + * i0..i3 in the paper are tmp0..tmp3 here. */ - - z1 = tmp4 + tmp7; - z2 = tmp5 + tmp6; - z3 = tmp4 + tmp6; - z4 = tmp5 + tmp7; - z5 = MULTIPLY(z3 + z4, FIX_1_175875602); /* sqrt(2) * c3 */ - - tmp4 = MULTIPLY(tmp4, FIX_0_298631336); /* sqrt(2) * (-c1+c3+c5-c7) */ - tmp5 = MULTIPLY(tmp5, FIX_2_053119869); /* sqrt(2) * ( c1+c3-c5+c7) */ - tmp6 = MULTIPLY(tmp6, FIX_3_072711026); /* sqrt(2) * ( c1+c3+c5-c7) */ - tmp7 = MULTIPLY(tmp7, FIX_1_501321110); /* sqrt(2) * ( c1+c3-c5-c7) */ - z1 = MULTIPLY(z1, - FIX_0_899976223); /* sqrt(2) * (c7-c3) */ - z2 = MULTIPLY(z2, - FIX_2_562915447); /* sqrt(2) * (-c1-c3) */ - z3 = MULTIPLY(z3, - FIX_1_961570560); /* sqrt(2) * (-c3-c5) */ - z4 = MULTIPLY(z4, - FIX_0_390180644); /* sqrt(2) * (c5-c3) */ - - z3 += z5; - z4 += z5; - - dataptr[7] = (DCTELEM) DESCALE(tmp4 + z1 + z3, CONST_BITS-PASS1_BITS); - dataptr[5] = (DCTELEM) DESCALE(tmp5 + z2 + z4, CONST_BITS-PASS1_BITS); - dataptr[3] = (DCTELEM) DESCALE(tmp6 + z2 + z3, CONST_BITS-PASS1_BITS); - dataptr[1] = (DCTELEM) DESCALE(tmp7 + z1 + z4, CONST_BITS-PASS1_BITS); - + + tmp10 = tmp0 + tmp3; + tmp11 = tmp1 + tmp2; + tmp12 = tmp0 + tmp2; + tmp13 = tmp1 + tmp3; + z1 = MULTIPLY(tmp12 + tmp13, FIX_1_175875602); /* c3 */ + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS-PASS1_BITS-1); + + tmp0 = MULTIPLY(tmp0, FIX_1_501321110); /* c1+c3-c5-c7 */ + tmp1 = MULTIPLY(tmp1, FIX_3_072711026); /* c1+c3+c5-c7 */ + tmp2 = MULTIPLY(tmp2, FIX_2_053119869); /* c1+c3-c5+c7 */ + tmp3 = MULTIPLY(tmp3, FIX_0_298631336); /* -c1+c3+c5-c7 */ + tmp10 = MULTIPLY(tmp10, - FIX_0_899976223); /* c7-c3 */ + tmp11 = MULTIPLY(tmp11, - FIX_2_562915447); /* -c1-c3 */ + tmp12 = MULTIPLY(tmp12, - FIX_0_390180644); /* c5-c3 */ + tmp13 = MULTIPLY(tmp13, - FIX_1_961570560); /* -c3-c5 */ + + tmp12 += z1; + tmp13 += z1; + + dataptr[1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + tmp10 + tmp12, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) + RIGHT_SHIFT(tmp1 + tmp11 + tmp13, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) + RIGHT_SHIFT(tmp2 + tmp11 + tmp12, CONST_BITS-PASS1_BITS); + dataptr[7] = (DCTELEM) + RIGHT_SHIFT(tmp3 + tmp10 + tmp13, CONST_BITS-PASS1_BITS); + dataptr += DCTSIZE; /* advance pointer to next row */ } @@ -217,67 +248,4101 @@ jpeg_fdct_islow (DCTELEM * data) dataptr = data; for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part per LL&M figure 1 --- note that published figure is faulty; + * rotator "sqrt(2)*c1" should be "sqrt(2)*c6". + */ + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*7]; - tmp7 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7]; tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*6]; - tmp6 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6]; tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*5]; - tmp5 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5]; tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*4]; - tmp4 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4]; - + + /* Add fudge factor here for final descale. */ + tmp10 = tmp0 + tmp3 + (ONE << (PASS1_BITS-1)); + tmp12 = tmp0 - tmp3; + tmp11 = tmp1 + tmp2; + tmp13 = tmp1 - tmp2; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4]; + + dataptr[DCTSIZE*0] = (DCTELEM) RIGHT_SHIFT(tmp10 + tmp11, PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) RIGHT_SHIFT(tmp10 - tmp11, PASS1_BITS); + + z1 = MULTIPLY(tmp12 + tmp13, FIX_0_541196100); + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS+PASS1_BITS-1); + dataptr[DCTSIZE*2] = (DCTELEM) + RIGHT_SHIFT(z1 + MULTIPLY(tmp12, FIX_0_765366865), CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*6] = (DCTELEM) + RIGHT_SHIFT(z1 - MULTIPLY(tmp13, FIX_1_847759065), CONST_BITS+PASS1_BITS); + + /* Odd part per figure 8 --- note paper omits factor of sqrt(2). + * cK represents sqrt(2) * cos(K*pi/16). + * i0..i3 in the paper are tmp0..tmp3 here. + */ + + tmp10 = tmp0 + tmp3; + tmp11 = tmp1 + tmp2; + tmp12 = tmp0 + tmp2; + tmp13 = tmp1 + tmp3; + z1 = MULTIPLY(tmp12 + tmp13, FIX_1_175875602); /* c3 */ + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS+PASS1_BITS-1); + + tmp0 = MULTIPLY(tmp0, FIX_1_501321110); /* c1+c3-c5-c7 */ + tmp1 = MULTIPLY(tmp1, FIX_3_072711026); /* c1+c3+c5-c7 */ + tmp2 = MULTIPLY(tmp2, FIX_2_053119869); /* c1+c3-c5+c7 */ + tmp3 = MULTIPLY(tmp3, FIX_0_298631336); /* -c1+c3+c5-c7 */ + tmp10 = MULTIPLY(tmp10, - FIX_0_899976223); /* c7-c3 */ + tmp11 = MULTIPLY(tmp11, - FIX_2_562915447); /* -c1-c3 */ + tmp12 = MULTIPLY(tmp12, - FIX_0_390180644); /* c5-c3 */ + tmp13 = MULTIPLY(tmp13, - FIX_1_961570560); /* -c3-c5 */ + + tmp12 += z1; + tmp13 += z1; + + dataptr[DCTSIZE*1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + tmp10 + tmp12, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + RIGHT_SHIFT(tmp1 + tmp11 + tmp13, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*5] = (DCTELEM) + RIGHT_SHIFT(tmp2 + tmp11 + tmp12, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*7] = (DCTELEM) + RIGHT_SHIFT(tmp3 + tmp10 + tmp13, CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + +#ifdef DCT_SCALING_SUPPORTED + + +/* + * Perform the forward DCT on a 7x7 sample block. + */ + +GLOBAL(void) +jpeg_fdct_7x7 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3; + INT32 tmp10, tmp11, tmp12; + INT32 z1, z2, z3; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* cK represents sqrt(2) * cos(K*pi/14). */ + + dataptr = data; + for (ctr = 0; ctr < 7; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[6]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[5]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[4]); + tmp3 = GETJSAMPLE(elemptr[3]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[6]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[5]); + tmp12 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[4]); + + z1 = tmp0 + tmp2; + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((z1 + tmp1 + tmp3 - 7 * CENTERJSAMPLE) << PASS1_BITS); + tmp3 += tmp3; + z1 -= tmp3; + z1 -= tmp3; + z1 = MULTIPLY(z1, FIX(0.353553391)); /* (c2+c6-c4)/2 */ + z2 = MULTIPLY(tmp0 - tmp2, FIX(0.920609002)); /* (c2+c4-c6)/2 */ + z3 = MULTIPLY(tmp1 - tmp2, FIX(0.314692123)); /* c6 */ + dataptr[2] = (DCTELEM) DESCALE(z1 + z2 + z3, CONST_BITS-PASS1_BITS); + z1 -= z2; + z2 = MULTIPLY(tmp0 - tmp1, FIX(0.881747734)); /* c4 */ + dataptr[4] = (DCTELEM) + DESCALE(z2 + z3 - MULTIPLY(tmp1 - tmp3, FIX(0.707106781)), /* c2+c6-c4 */ + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) DESCALE(z1 + z2, CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(0.935414347)); /* (c3+c1-c5)/2 */ + tmp2 = MULTIPLY(tmp10 - tmp11, FIX(0.170262339)); /* (c3+c5-c1)/2 */ + tmp0 = tmp1 - tmp2; + tmp1 += tmp2; + tmp2 = MULTIPLY(tmp11 + tmp12, - FIX(1.378756276)); /* -c1 */ + tmp1 += tmp2; + tmp3 = MULTIPLY(tmp10 + tmp12, FIX(0.613604268)); /* c5 */ + tmp0 += tmp3; + tmp2 += tmp3 + MULTIPLY(tmp12, FIX(1.870828693)); /* c3+c1-c5 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp0, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp1, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp2, CONST_BITS-PASS1_BITS); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/7)**2 = 64/49, which we fold + * into the constant multipliers: + * cK now represents sqrt(2) * cos(K*pi/14) * 64/49. + */ + + dataptr = data; + for (ctr = 0; ctr < 7; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*6]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*5]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*4]; + tmp3 = dataptr[DCTSIZE*3]; + + tmp10 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*6]; + tmp11 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*5]; + tmp12 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*4]; + + z1 = tmp0 + tmp2; + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(z1 + tmp1 + tmp3, FIX(1.306122449)), /* 64/49 */ + CONST_BITS+PASS1_BITS); + tmp3 += tmp3; + z1 -= tmp3; + z1 -= tmp3; + z1 = MULTIPLY(z1, FIX(0.461784020)); /* (c2+c6-c4)/2 */ + z2 = MULTIPLY(tmp0 - tmp2, FIX(1.202428084)); /* (c2+c4-c6)/2 */ + z3 = MULTIPLY(tmp1 - tmp2, FIX(0.411026446)); /* c6 */ + dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(z1 + z2 + z3, CONST_BITS+PASS1_BITS); + z1 -= z2; + z2 = MULTIPLY(tmp0 - tmp1, FIX(1.151670509)); /* c4 */ + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(z2 + z3 - MULTIPLY(tmp1 - tmp3, FIX(0.923568041)), /* c2+c6-c4 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*6] = (DCTELEM) DESCALE(z1 + z2, CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(1.221765677)); /* (c3+c1-c5)/2 */ + tmp2 = MULTIPLY(tmp10 - tmp11, FIX(0.222383464)); /* (c3+c5-c1)/2 */ + tmp0 = tmp1 - tmp2; + tmp1 += tmp2; + tmp2 = MULTIPLY(tmp11 + tmp12, - FIX(1.800824523)); /* -c1 */ + tmp1 += tmp2; + tmp3 = MULTIPLY(tmp10 + tmp12, FIX(0.801442310)); /* c5 */ + tmp0 += tmp3; + tmp2 += tmp3 + MULTIPLY(tmp12, FIX(2.443531355)); /* c3+c1-c5 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp0, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp1, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp2, CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 6x6 sample block. + */ + +GLOBAL(void) +jpeg_fdct_6x6 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2; + INT32 tmp10, tmp11, tmp12; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* cK represents sqrt(2) * cos(K*pi/12). */ + + dataptr = data; + for (ctr = 0; ctr < 6; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[5]); + tmp11 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[4]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[3]); + + tmp10 = tmp0 + tmp2; + tmp12 = tmp0 - tmp2; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[5]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[4]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[3]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 - 6 * CENTERJSAMPLE) << PASS1_BITS); + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp12, FIX(1.224744871)), /* c2 */ + CONST_BITS-PASS1_BITS); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp11, FIX(0.707106781)), /* c4 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp10 = DESCALE(MULTIPLY(tmp0 + tmp2, FIX(0.366025404)), /* c5 */ + CONST_BITS-PASS1_BITS); + + dataptr[1] = (DCTELEM) (tmp10 + ((tmp0 + tmp1) << PASS1_BITS)); + dataptr[3] = (DCTELEM) ((tmp0 - tmp1 - tmp2) << PASS1_BITS); + dataptr[5] = (DCTELEM) (tmp10 + ((tmp2 - tmp1) << PASS1_BITS)); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/6)**2 = 16/9, which we fold + * into the constant multipliers: + * cK now represents sqrt(2) * cos(K*pi/12) * 16/9. + */ + + dataptr = data; + for (ctr = 0; ctr < 6; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*5]; + tmp11 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*3]; + + tmp10 = tmp0 + tmp2; + tmp12 = tmp0 - tmp2; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*3]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp12, FIX(2.177324216)), /* c2 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp11, FIX(1.257078722)), /* c4 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp2, FIX(0.650711829)); /* c5 */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0 + tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp2, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp2 - tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 5x5 sample block. + */ + +GLOBAL(void) +jpeg_fdct_5x5 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2; + INT32 tmp10, tmp11; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We scale the results further by 2 as part of output adaption */ + /* scaling for different DCT size. */ + /* cK represents sqrt(2) * cos(K*pi/10). */ + + dataptr = data; + for (ctr = 0; ctr < 5; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[4]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[3]); + tmp2 = GETJSAMPLE(elemptr[2]); + + tmp10 = tmp0 + tmp1; + tmp11 = tmp0 - tmp1; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[4]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[3]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp2 - 5 * CENTERJSAMPLE) << (PASS1_BITS+1)); + tmp11 = MULTIPLY(tmp11, FIX(0.790569415)); /* (c2+c4)/2 */ + tmp10 -= tmp2 << 2; + tmp10 = MULTIPLY(tmp10, FIX(0.353553391)); /* (c2-c4)/2 */ + dataptr[2] = (DCTELEM) DESCALE(tmp11 + tmp10, CONST_BITS-PASS1_BITS-1); + dataptr[4] = (DCTELEM) DESCALE(tmp11 - tmp10, CONST_BITS-PASS1_BITS-1); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp1, FIX(0.831253876)); /* c3 */ + + dataptr[1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0, FIX(0.513743148)), /* c1-c3 */ + CONST_BITS-PASS1_BITS-1); + dataptr[3] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp1, FIX(2.176250899)), /* c1+c3 */ + CONST_BITS-PASS1_BITS-1); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/5)**2 = 64/25, which we partially + * fold into the constant multipliers (other part was done in pass 1): + * cK now represents sqrt(2) * cos(K*pi/10) * 32/25. + */ + + dataptr = data; + for (ctr = 0; ctr < 5; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*4]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*3]; + tmp2 = dataptr[DCTSIZE*2]; + + tmp10 = tmp0 + tmp1; + tmp11 = tmp0 - tmp1; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*4]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*3]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp2, FIX(1.28)), /* 32/25 */ + CONST_BITS+PASS1_BITS); + tmp11 = MULTIPLY(tmp11, FIX(1.011928851)); /* (c2+c4)/2 */ + tmp10 -= tmp2 << 2; + tmp10 = MULTIPLY(tmp10, FIX(0.452548340)); /* (c2-c4)/2 */ + dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(tmp11 + tmp10, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) DESCALE(tmp11 - tmp10, CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp1, FIX(1.064004961)); /* c3 */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0, FIX(0.657591230)), /* c1-c3 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp1, FIX(2.785601151)), /* c1+c3 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 4x4 sample block. + */ + +GLOBAL(void) +jpeg_fdct_4x4 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1; + INT32 tmp10, tmp11; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We must also scale the output by (8/4)**2 = 2**2, which we add here. */ + /* cK represents sqrt(2) * cos(K*pi/16) [refers to 8-point FDCT]. */ + + dataptr = data; + for (ctr = 0; ctr < 4; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[3]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[2]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[3]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[2]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp0 + tmp1 - 4 * CENTERJSAMPLE) << (PASS1_BITS+2)); + dataptr[2] = (DCTELEM) ((tmp0 - tmp1) << (PASS1_BITS+2)); + + /* Odd part */ + + tmp0 = MULTIPLY(tmp10 + tmp11, FIX_0_541196100); /* c6 */ + /* Add fudge factor here for final descale. */ + tmp0 += ONE << (CONST_BITS-PASS1_BITS-3); + + dataptr[1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + MULTIPLY(tmp10, FIX_0_765366865), /* c2-c6 */ + CONST_BITS-PASS1_BITS-2); + dataptr[3] = (DCTELEM) + RIGHT_SHIFT(tmp0 - MULTIPLY(tmp11, FIX_1_847759065), /* c2+c6 */ + CONST_BITS-PASS1_BITS-2); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + */ + + dataptr = data; + for (ctr = 0; ctr < 4; ctr++) { + /* Even part */ + + /* Add fudge factor here for final descale. */ + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*3] + (ONE << (PASS1_BITS-1)); + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*2]; + + tmp10 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*3]; + tmp11 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*2]; + + dataptr[DCTSIZE*0] = (DCTELEM) RIGHT_SHIFT(tmp0 + tmp1, PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) RIGHT_SHIFT(tmp0 - tmp1, PASS1_BITS); + + /* Odd part */ + + tmp0 = MULTIPLY(tmp10 + tmp11, FIX_0_541196100); /* c6 */ + /* Add fudge factor here for final descale. */ + tmp0 += ONE << (CONST_BITS+PASS1_BITS-1); + + dataptr[DCTSIZE*1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + MULTIPLY(tmp10, FIX_0_765366865), /* c2-c6 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + RIGHT_SHIFT(tmp0 - MULTIPLY(tmp11, FIX_1_847759065), /* c2+c6 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 3x3 sample block. + */ + +GLOBAL(void) +jpeg_fdct_3x3 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We scale the results further by 2**2 as part of output adaption */ + /* scaling for different DCT size. */ + /* cK represents sqrt(2) * cos(K*pi/6). */ + + dataptr = data; + for (ctr = 0; ctr < 3; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[2]); + tmp1 = GETJSAMPLE(elemptr[1]); + + tmp2 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[2]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp0 + tmp1 - 3 * CENTERJSAMPLE) << (PASS1_BITS+2)); + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp1, FIX(0.707106781)), /* c2 */ + CONST_BITS-PASS1_BITS-2); + + /* Odd part */ + + dataptr[1] = (DCTELEM) + DESCALE(MULTIPLY(tmp2, FIX(1.224744871)), /* c1 */ + CONST_BITS-PASS1_BITS-2); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/3)**2 = 64/9, which we partially + * fold into the constant multipliers (other part was done in pass 1): + * cK now represents sqrt(2) * cos(K*pi/6) * 16/9. + */ + + dataptr = data; + for (ctr = 0; ctr < 3; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*2]; + tmp1 = dataptr[DCTSIZE*1]; + + tmp2 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*2]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 + tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp1, FIX(1.257078722)), /* c2 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(MULTIPLY(tmp2, FIX(2.177324216)), /* c1 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 2x2 sample block. + */ + +GLOBAL(void) +jpeg_fdct_2x2 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3; + JSAMPROW elemptr; + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT. */ + + /* Row 0 */ + elemptr = sample_data[0] + start_col; + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[1]); + tmp1 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[1]); + + /* Row 1 */ + elemptr = sample_data[1] + start_col; + + tmp2 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[1]); + tmp3 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[1]); + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/2)**2 = 2**4. + */ + + /* Column 0 */ + /* Apply unsigned->signed conversion */ + data[DCTSIZE*0] = (DCTELEM) ((tmp0 + tmp2 - 4 * CENTERJSAMPLE) << 4); + data[DCTSIZE*1] = (DCTELEM) ((tmp0 - tmp2) << 4); + + /* Column 1 */ + data[DCTSIZE*0+1] = (DCTELEM) ((tmp1 + tmp3) << 4); + data[DCTSIZE*1+1] = (DCTELEM) ((tmp1 - tmp3) << 4); +} + + +/* + * Perform the forward DCT on a 1x1 sample block. + */ + +GLOBAL(void) +jpeg_fdct_1x1 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* We leave the result scaled up by an overall factor of 8. */ + /* We must also scale the output by (8/1)**2 = 2**6. */ + /* Apply unsigned->signed conversion */ + data[0] = (DCTELEM) + ((GETJSAMPLE(sample_data[0][start_col]) - CENTERJSAMPLE) << 6); +} + + +/* + * Perform the forward DCT on a 9x9 sample block. + */ + +GLOBAL(void) +jpeg_fdct_9x9 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4; + INT32 tmp10, tmp11, tmp12, tmp13; + INT32 z1, z2; + DCTELEM workspace[8]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* we scale the results further by 2 as part of output adaption */ + /* scaling for different DCT size. */ + /* cK represents sqrt(2) * cos(K*pi/18). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[8]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[7]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[6]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[5]); + tmp4 = GETJSAMPLE(elemptr[4]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[8]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[7]); + tmp12 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[6]); + tmp13 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[5]); + + z1 = tmp0 + tmp2 + tmp3; + z2 = tmp1 + tmp4; + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) ((z1 + z2 - 9 * CENTERJSAMPLE) << 1); + dataptr[6] = (DCTELEM) + DESCALE(MULTIPLY(z1 - z2 - z2, FIX(0.707106781)), /* c6 */ + CONST_BITS-1); + z1 = MULTIPLY(tmp0 - tmp2, FIX(1.328926049)); /* c2 */ + z2 = MULTIPLY(tmp1 - tmp4 - tmp4, FIX(0.707106781)); /* c6 */ + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp2 - tmp3, FIX(1.083350441)) /* c4 */ + + z1 + z2, CONST_BITS-1); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp3 - tmp0, FIX(0.245575608)) /* c8 */ + + z1 - z2, CONST_BITS-1); + + /* Odd part */ + + dataptr[3] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12 - tmp13, FIX(1.224744871)), /* c3 */ + CONST_BITS-1); + + tmp11 = MULTIPLY(tmp11, FIX(1.224744871)); /* c3 */ + tmp0 = MULTIPLY(tmp10 + tmp12, FIX(0.909038955)); /* c5 */ + tmp1 = MULTIPLY(tmp10 + tmp13, FIX(0.483689525)); /* c7 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp11 + tmp0 + tmp1, CONST_BITS-1); + + tmp2 = MULTIPLY(tmp12 - tmp13, FIX(1.392728481)); /* c1 */ + + dataptr[5] = (DCTELEM) DESCALE(tmp0 - tmp11 - tmp2, CONST_BITS-1); + dataptr[7] = (DCTELEM) DESCALE(tmp1 - tmp11 + tmp2, CONST_BITS-1); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 9) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/9)**2 = 64/81, which we partially + * fold into the constant multipliers and final/initial shifting: + * cK now represents sqrt(2) * cos(K*pi/18) * 128/81. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*0]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*7]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*6]; + tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*5]; + tmp4 = dataptr[DCTSIZE*4]; + + tmp10 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*0]; + tmp11 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*7]; + tmp12 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*6]; + tmp13 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*5]; + + z1 = tmp0 + tmp2 + tmp3; + z2 = tmp1 + tmp4; + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(z1 + z2, FIX(1.580246914)), /* 128/81 */ + CONST_BITS+2); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(MULTIPLY(z1 - z2 - z2, FIX(1.117403309)), /* c6 */ + CONST_BITS+2); + z1 = MULTIPLY(tmp0 - tmp2, FIX(2.100031287)); /* c2 */ + z2 = MULTIPLY(tmp1 - tmp4 - tmp4, FIX(1.117403309)); /* c6 */ + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp2 - tmp3, FIX(1.711961190)) /* c4 */ + + z1 + z2, CONST_BITS+2); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp3 - tmp0, FIX(0.388070096)) /* c8 */ + + z1 - z2, CONST_BITS+2); + + /* Odd part */ + + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12 - tmp13, FIX(1.935399303)), /* c3 */ + CONST_BITS+2); + + tmp11 = MULTIPLY(tmp11, FIX(1.935399303)); /* c3 */ + tmp0 = MULTIPLY(tmp10 + tmp12, FIX(1.436506004)); /* c5 */ + tmp1 = MULTIPLY(tmp10 + tmp13, FIX(0.764348879)); /* c7 */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp11 + tmp0 + tmp1, CONST_BITS+2); + + tmp2 = MULTIPLY(tmp12 - tmp13, FIX(2.200854883)); /* c1 */ + + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(tmp0 - tmp11 - tmp2, CONST_BITS+2); + dataptr[DCTSIZE*7] = (DCTELEM) + DESCALE(tmp1 - tmp11 + tmp2, CONST_BITS+2); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 10x10 sample block. + */ + +GLOBAL(void) +jpeg_fdct_10x10 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14; + DCTELEM workspace[8*2]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* we scale the results further by 2 as part of output adaption */ + /* scaling for different DCT size. */ + /* cK represents sqrt(2) * cos(K*pi/20). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[9]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[8]); + tmp12 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[7]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[6]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[5]); + + tmp10 = tmp0 + tmp4; + tmp13 = tmp0 - tmp4; + tmp11 = tmp1 + tmp3; + tmp14 = tmp1 - tmp3; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[9]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[8]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[7]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[6]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[5]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 + tmp12 - 10 * CENTERJSAMPLE) << 1); + tmp12 += tmp12; + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.144122806)) - /* c4 */ + MULTIPLY(tmp11 - tmp12, FIX(0.437016024)), /* c8 */ + CONST_BITS-1); + tmp10 = MULTIPLY(tmp13 + tmp14, FIX(0.831253876)); /* c6 */ + dataptr[2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp13, FIX(0.513743148)), /* c2-c6 */ + CONST_BITS-1); + dataptr[6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(2.176250899)), /* c2+c6 */ + CONST_BITS-1); + + /* Odd part */ + + tmp10 = tmp0 + tmp4; + tmp11 = tmp1 - tmp3; + dataptr[5] = (DCTELEM) ((tmp10 - tmp11 - tmp2) << 1); + tmp2 <<= CONST_BITS; + dataptr[1] = (DCTELEM) + DESCALE(MULTIPLY(tmp0, FIX(1.396802247)) + /* c1 */ + MULTIPLY(tmp1, FIX(1.260073511)) + tmp2 + /* c3 */ + MULTIPLY(tmp3, FIX(0.642039522)) + /* c7 */ + MULTIPLY(tmp4, FIX(0.221231742)), /* c9 */ + CONST_BITS-1); + tmp12 = MULTIPLY(tmp0 - tmp4, FIX(0.951056516)) - /* (c3+c7)/2 */ + MULTIPLY(tmp1 + tmp3, FIX(0.587785252)); /* (c1-c9)/2 */ + tmp13 = MULTIPLY(tmp10 + tmp11, FIX(0.309016994)) + /* (c3-c7)/2 */ + (tmp11 << (CONST_BITS - 1)) - tmp2; + dataptr[3] = (DCTELEM) DESCALE(tmp12 + tmp13, CONST_BITS-1); + dataptr[7] = (DCTELEM) DESCALE(tmp12 - tmp13, CONST_BITS-1); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 10) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/10)**2 = 16/25, which we partially + * fold into the constant multipliers and final/initial shifting: + * cK now represents sqrt(2) * cos(K*pi/20) * 32/25. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*1]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*0]; + tmp12 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*7]; + tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*6]; + tmp4 = dataptr[DCTSIZE*4] + dataptr[DCTSIZE*5]; + + tmp10 = tmp0 + tmp4; + tmp13 = tmp0 - tmp4; + tmp11 = tmp1 + tmp3; + tmp14 = tmp1 - tmp3; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*1]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*0]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*7]; + tmp3 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*6]; + tmp4 = dataptr[DCTSIZE*4] - dataptr[DCTSIZE*5]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11 + tmp12, FIX(1.28)), /* 32/25 */ + CONST_BITS+2); + tmp12 += tmp12; + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.464477191)) - /* c4 */ + MULTIPLY(tmp11 - tmp12, FIX(0.559380511)), /* c8 */ + CONST_BITS+2); + tmp10 = MULTIPLY(tmp13 + tmp14, FIX(1.064004961)); /* c6 */ + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp13, FIX(0.657591230)), /* c2-c6 */ + CONST_BITS+2); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(2.785601151)), /* c2+c6 */ + CONST_BITS+2); + + /* Odd part */ + + tmp10 = tmp0 + tmp4; + tmp11 = tmp1 - tmp3; + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp2, FIX(1.28)), /* 32/25 */ + CONST_BITS+2); + tmp2 = MULTIPLY(tmp2, FIX(1.28)); /* 32/25 */ + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(MULTIPLY(tmp0, FIX(1.787906876)) + /* c1 */ + MULTIPLY(tmp1, FIX(1.612894094)) + tmp2 + /* c3 */ + MULTIPLY(tmp3, FIX(0.821810588)) + /* c7 */ + MULTIPLY(tmp4, FIX(0.283176630)), /* c9 */ + CONST_BITS+2); + tmp12 = MULTIPLY(tmp0 - tmp4, FIX(1.217352341)) - /* (c3+c7)/2 */ + MULTIPLY(tmp1 + tmp3, FIX(0.752365123)); /* (c1-c9)/2 */ + tmp13 = MULTIPLY(tmp10 + tmp11, FIX(0.395541753)) + /* (c3-c7)/2 */ + MULTIPLY(tmp11, FIX(0.64)) - tmp2; /* 16/25 */ + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp12 + tmp13, CONST_BITS+2); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp12 - tmp13, CONST_BITS+2); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on an 11x11 sample block. + */ + +GLOBAL(void) +jpeg_fdct_11x11 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14; + INT32 z1, z2, z3; + DCTELEM workspace[8*3]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* we scale the results further by 2 as part of output adaption */ + /* scaling for different DCT size. */ + /* cK represents sqrt(2) * cos(K*pi/22). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[10]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[9]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[8]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[7]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[6]); + tmp5 = GETJSAMPLE(elemptr[5]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[10]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[9]); + tmp12 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[8]); + tmp13 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[7]); + tmp14 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[6]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp0 + tmp1 + tmp2 + tmp3 + tmp4 + tmp5 - 11 * CENTERJSAMPLE) << 1); + tmp5 += tmp5; + tmp0 -= tmp5; + tmp1 -= tmp5; + tmp2 -= tmp5; + tmp3 -= tmp5; + tmp4 -= tmp5; + z1 = MULTIPLY(tmp0 + tmp3, FIX(1.356927976)) + /* c2 */ + MULTIPLY(tmp2 + tmp4, FIX(0.201263574)); /* c10 */ + z2 = MULTIPLY(tmp1 - tmp3, FIX(0.926112931)); /* c6 */ + z3 = MULTIPLY(tmp0 - tmp1, FIX(1.189712156)); /* c4 */ + dataptr[2] = (DCTELEM) + DESCALE(z1 + z2 - MULTIPLY(tmp3, FIX(1.018300590)) /* c2+c8-c6 */ + - MULTIPLY(tmp4, FIX(1.390975730)), /* c4+c10 */ + CONST_BITS-1); + dataptr[4] = (DCTELEM) + DESCALE(z2 + z3 + MULTIPLY(tmp1, FIX(0.062335650)) /* c4-c6-c10 */ + - MULTIPLY(tmp2, FIX(1.356927976)) /* c2 */ + + MULTIPLY(tmp4, FIX(0.587485545)), /* c8 */ + CONST_BITS-1); + dataptr[6] = (DCTELEM) + DESCALE(z1 + z3 - MULTIPLY(tmp0, FIX(1.620527200)) /* c2+c4-c6 */ + - MULTIPLY(tmp2, FIX(0.788749120)), /* c8+c10 */ + CONST_BITS-1); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(1.286413905)); /* c3 */ + tmp2 = MULTIPLY(tmp10 + tmp12, FIX(1.068791298)); /* c5 */ + tmp3 = MULTIPLY(tmp10 + tmp13, FIX(0.764581576)); /* c7 */ + tmp0 = tmp1 + tmp2 + tmp3 - MULTIPLY(tmp10, FIX(1.719967871)) /* c7+c5+c3-c1 */ + + MULTIPLY(tmp14, FIX(0.398430003)); /* c9 */ + tmp4 = MULTIPLY(tmp11 + tmp12, - FIX(0.764581576)); /* -c7 */ + tmp5 = MULTIPLY(tmp11 + tmp13, - FIX(1.399818907)); /* -c1 */ + tmp1 += tmp4 + tmp5 + MULTIPLY(tmp11, FIX(1.276416582)) /* c9+c7+c1-c3 */ + - MULTIPLY(tmp14, FIX(1.068791298)); /* c5 */ + tmp10 = MULTIPLY(tmp12 + tmp13, FIX(0.398430003)); /* c9 */ + tmp2 += tmp4 + tmp10 - MULTIPLY(tmp12, FIX(1.989053629)) /* c9+c5+c3-c7 */ + + MULTIPLY(tmp14, FIX(1.399818907)); /* c1 */ + tmp3 += tmp5 + tmp10 + MULTIPLY(tmp13, FIX(1.305598626)) /* c1+c5-c9-c7 */ + - MULTIPLY(tmp14, FIX(1.286413905)); /* c3 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp0, CONST_BITS-1); + dataptr[3] = (DCTELEM) DESCALE(tmp1, CONST_BITS-1); + dataptr[5] = (DCTELEM) DESCALE(tmp2, CONST_BITS-1); + dataptr[7] = (DCTELEM) DESCALE(tmp3, CONST_BITS-1); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 11) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/11)**2 = 64/121, which we partially + * fold into the constant multipliers and final/initial shifting: + * cK now represents sqrt(2) * cos(K*pi/22) * 128/121. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*2]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*1]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*0]; + tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*7]; + tmp4 = dataptr[DCTSIZE*4] + dataptr[DCTSIZE*6]; + tmp5 = dataptr[DCTSIZE*5]; + + tmp10 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*2]; + tmp11 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*1]; + tmp12 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*0]; + tmp13 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*7]; + tmp14 = dataptr[DCTSIZE*4] - dataptr[DCTSIZE*6]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 + tmp1 + tmp2 + tmp3 + tmp4 + tmp5, + FIX(1.057851240)), /* 128/121 */ + CONST_BITS+2); + tmp5 += tmp5; + tmp0 -= tmp5; + tmp1 -= tmp5; + tmp2 -= tmp5; + tmp3 -= tmp5; + tmp4 -= tmp5; + z1 = MULTIPLY(tmp0 + tmp3, FIX(1.435427942)) + /* c2 */ + MULTIPLY(tmp2 + tmp4, FIX(0.212906922)); /* c10 */ + z2 = MULTIPLY(tmp1 - tmp3, FIX(0.979689713)); /* c6 */ + z3 = MULTIPLY(tmp0 - tmp1, FIX(1.258538479)); /* c4 */ + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(z1 + z2 - MULTIPLY(tmp3, FIX(1.077210542)) /* c2+c8-c6 */ + - MULTIPLY(tmp4, FIX(1.471445400)), /* c4+c10 */ + CONST_BITS+2); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(z2 + z3 + MULTIPLY(tmp1, FIX(0.065941844)) /* c4-c6-c10 */ + - MULTIPLY(tmp2, FIX(1.435427942)) /* c2 */ + + MULTIPLY(tmp4, FIX(0.621472312)), /* c8 */ + CONST_BITS+2); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(z1 + z3 - MULTIPLY(tmp0, FIX(1.714276708)) /* c2+c4-c6 */ + - MULTIPLY(tmp2, FIX(0.834379234)), /* c8+c10 */ + CONST_BITS+2); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(1.360834544)); /* c3 */ + tmp2 = MULTIPLY(tmp10 + tmp12, FIX(1.130622199)); /* c5 */ + tmp3 = MULTIPLY(tmp10 + tmp13, FIX(0.808813568)); /* c7 */ + tmp0 = tmp1 + tmp2 + tmp3 - MULTIPLY(tmp10, FIX(1.819470145)) /* c7+c5+c3-c1 */ + + MULTIPLY(tmp14, FIX(0.421479672)); /* c9 */ + tmp4 = MULTIPLY(tmp11 + tmp12, - FIX(0.808813568)); /* -c7 */ + tmp5 = MULTIPLY(tmp11 + tmp13, - FIX(1.480800167)); /* -c1 */ + tmp1 += tmp4 + tmp5 + MULTIPLY(tmp11, FIX(1.350258864)) /* c9+c7+c1-c3 */ + - MULTIPLY(tmp14, FIX(1.130622199)); /* c5 */ + tmp10 = MULTIPLY(tmp12 + tmp13, FIX(0.421479672)); /* c9 */ + tmp2 += tmp4 + tmp10 - MULTIPLY(tmp12, FIX(2.104122847)) /* c9+c5+c3-c7 */ + + MULTIPLY(tmp14, FIX(1.480800167)); /* c1 */ + tmp3 += tmp5 + tmp10 + MULTIPLY(tmp13, FIX(1.381129125)) /* c1+c5-c9-c7 */ + - MULTIPLY(tmp14, FIX(1.360834544)); /* c3 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp0, CONST_BITS+2); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp1, CONST_BITS+2); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp2, CONST_BITS+2); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp3, CONST_BITS+2); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 12x12 sample block. + */ + +GLOBAL(void) +jpeg_fdct_12x12 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15; + DCTELEM workspace[8*4]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT. */ + /* cK represents sqrt(2) * cos(K*pi/24). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[11]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[10]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[9]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[8]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[7]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[6]); + + tmp10 = tmp0 + tmp5; + tmp13 = tmp0 - tmp5; + tmp11 = tmp1 + tmp4; + tmp14 = tmp1 - tmp4; + tmp12 = tmp2 + tmp3; + tmp15 = tmp2 - tmp3; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[11]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[10]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[9]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[8]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[7]); + tmp5 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[6]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) (tmp10 + tmp11 + tmp12 - 12 * CENTERJSAMPLE); + dataptr[6] = (DCTELEM) (tmp13 - tmp14 - tmp15); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.224744871)), /* c4 */ + CONST_BITS); + dataptr[2] = (DCTELEM) + DESCALE(tmp14 - tmp15 + MULTIPLY(tmp13 + tmp15, FIX(1.366025404)), /* c2 */ + CONST_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp1 + tmp4, FIX_0_541196100); /* c9 */ + tmp14 = tmp10 + MULTIPLY(tmp1, FIX_0_765366865); /* c3-c9 */ + tmp15 = tmp10 - MULTIPLY(tmp4, FIX_1_847759065); /* c3+c9 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(1.121971054)); /* c5 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(0.860918669)); /* c7 */ + tmp10 = tmp12 + tmp13 + tmp14 - MULTIPLY(tmp0, FIX(0.580774953)) /* c5+c7-c1 */ + + MULTIPLY(tmp5, FIX(0.184591911)); /* c11 */ + tmp11 = MULTIPLY(tmp2 + tmp3, - FIX(0.184591911)); /* -c11 */ + tmp12 += tmp11 - tmp15 - MULTIPLY(tmp2, FIX(2.339493912)) /* c1+c5-c11 */ + + MULTIPLY(tmp5, FIX(0.860918669)); /* c7 */ + tmp13 += tmp11 - tmp14 + MULTIPLY(tmp3, FIX(0.725788011)) /* c1+c11-c7 */ + - MULTIPLY(tmp5, FIX(1.121971054)); /* c5 */ + tmp11 = tmp15 + MULTIPLY(tmp0 - tmp3, FIX(1.306562965)) /* c3 */ + - MULTIPLY(tmp2 + tmp5, FIX_0_541196100); /* c9 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp10, CONST_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp11, CONST_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp12, CONST_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp13, CONST_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 12) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/12)**2 = 4/9, which we partially + * fold into the constant multipliers and final shifting: + * cK now represents sqrt(2) * cos(K*pi/24) * 8/9. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*3]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*2]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*1]; + tmp3 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*0]; + tmp4 = dataptr[DCTSIZE*4] + dataptr[DCTSIZE*7]; + tmp5 = dataptr[DCTSIZE*5] + dataptr[DCTSIZE*6]; + + tmp10 = tmp0 + tmp5; + tmp13 = tmp0 - tmp5; + tmp11 = tmp1 + tmp4; + tmp14 = tmp1 - tmp4; + tmp12 = tmp2 + tmp3; + tmp15 = tmp2 - tmp3; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*3]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*2]; + tmp2 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*1]; + tmp3 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*0]; + tmp4 = dataptr[DCTSIZE*4] - dataptr[DCTSIZE*7]; + tmp5 = dataptr[DCTSIZE*5] - dataptr[DCTSIZE*6]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11 + tmp12, FIX(0.888888889)), /* 8/9 */ + CONST_BITS+1); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(MULTIPLY(tmp13 - tmp14 - tmp15, FIX(0.888888889)), /* 8/9 */ + CONST_BITS+1); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.088662108)), /* c4 */ + CONST_BITS+1); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp14 - tmp15, FIX(0.888888889)) + /* 8/9 */ + MULTIPLY(tmp13 + tmp15, FIX(1.214244803)), /* c2 */ + CONST_BITS+1); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp1 + tmp4, FIX(0.481063200)); /* c9 */ + tmp14 = tmp10 + MULTIPLY(tmp1, FIX(0.680326102)); /* c3-c9 */ + tmp15 = tmp10 - MULTIPLY(tmp4, FIX(1.642452502)); /* c3+c9 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(0.997307603)); /* c5 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(0.765261039)); /* c7 */ + tmp10 = tmp12 + tmp13 + tmp14 - MULTIPLY(tmp0, FIX(0.516244403)) /* c5+c7-c1 */ + + MULTIPLY(tmp5, FIX(0.164081699)); /* c11 */ + tmp11 = MULTIPLY(tmp2 + tmp3, - FIX(0.164081699)); /* -c11 */ + tmp12 += tmp11 - tmp15 - MULTIPLY(tmp2, FIX(2.079550144)) /* c1+c5-c11 */ + + MULTIPLY(tmp5, FIX(0.765261039)); /* c7 */ + tmp13 += tmp11 - tmp14 + MULTIPLY(tmp3, FIX(0.645144899)) /* c1+c11-c7 */ + - MULTIPLY(tmp5, FIX(0.997307603)); /* c5 */ + tmp11 = tmp15 + MULTIPLY(tmp0 - tmp3, FIX(1.161389302)) /* c3 */ + - MULTIPLY(tmp2 + tmp5, FIX(0.481063200)); /* c9 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp10, CONST_BITS+1); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp11, CONST_BITS+1); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp12, CONST_BITS+1); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp13, CONST_BITS+1); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 13x13 sample block. + */ + +GLOBAL(void) +jpeg_fdct_13x13 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15; + INT32 z1, z2; + DCTELEM workspace[8*5]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT. */ + /* cK represents sqrt(2) * cos(K*pi/26). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[12]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[11]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[10]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[9]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[8]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[7]); + tmp6 = GETJSAMPLE(elemptr[6]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[12]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[11]); + tmp12 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[10]); + tmp13 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[9]); + tmp14 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[8]); + tmp15 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[7]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + (tmp0 + tmp1 + tmp2 + tmp3 + tmp4 + tmp5 + tmp6 - 13 * CENTERJSAMPLE); + tmp6 += tmp6; + tmp0 -= tmp6; + tmp1 -= tmp6; + tmp2 -= tmp6; + tmp3 -= tmp6; + tmp4 -= tmp6; + tmp5 -= tmp6; + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp0, FIX(1.373119086)) + /* c2 */ + MULTIPLY(tmp1, FIX(1.058554052)) + /* c6 */ + MULTIPLY(tmp2, FIX(0.501487041)) - /* c10 */ + MULTIPLY(tmp3, FIX(0.170464608)) - /* c12 */ + MULTIPLY(tmp4, FIX(0.803364869)) - /* c8 */ + MULTIPLY(tmp5, FIX(1.252223920)), /* c4 */ + CONST_BITS); + z1 = MULTIPLY(tmp0 - tmp2, FIX(1.155388986)) - /* (c4+c6)/2 */ + MULTIPLY(tmp3 - tmp4, FIX(0.435816023)) - /* (c2-c10)/2 */ + MULTIPLY(tmp1 - tmp5, FIX(0.316450131)); /* (c8-c12)/2 */ + z2 = MULTIPLY(tmp0 + tmp2, FIX(0.096834934)) - /* (c4-c6)/2 */ + MULTIPLY(tmp3 + tmp4, FIX(0.937303064)) + /* (c2+c10)/2 */ + MULTIPLY(tmp1 + tmp5, FIX(0.486914739)); /* (c8+c12)/2 */ + + dataptr[4] = (DCTELEM) DESCALE(z1 + z2, CONST_BITS); + dataptr[6] = (DCTELEM) DESCALE(z1 - z2, CONST_BITS); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(1.322312651)); /* c3 */ + tmp2 = MULTIPLY(tmp10 + tmp12, FIX(1.163874945)); /* c5 */ + tmp3 = MULTIPLY(tmp10 + tmp13, FIX(0.937797057)) + /* c7 */ + MULTIPLY(tmp14 + tmp15, FIX(0.338443458)); /* c11 */ + tmp0 = tmp1 + tmp2 + tmp3 - + MULTIPLY(tmp10, FIX(2.020082300)) + /* c3+c5+c7-c1 */ + MULTIPLY(tmp14, FIX(0.318774355)); /* c9-c11 */ + tmp4 = MULTIPLY(tmp14 - tmp15, FIX(0.937797057)) - /* c7 */ + MULTIPLY(tmp11 + tmp12, FIX(0.338443458)); /* c11 */ + tmp5 = MULTIPLY(tmp11 + tmp13, - FIX(1.163874945)); /* -c5 */ + tmp1 += tmp4 + tmp5 + + MULTIPLY(tmp11, FIX(0.837223564)) - /* c5+c9+c11-c3 */ + MULTIPLY(tmp14, FIX(2.341699410)); /* c1+c7 */ + tmp6 = MULTIPLY(tmp12 + tmp13, - FIX(0.657217813)); /* -c9 */ + tmp2 += tmp4 + tmp6 - + MULTIPLY(tmp12, FIX(1.572116027)) + /* c1+c5-c9-c11 */ + MULTIPLY(tmp15, FIX(2.260109708)); /* c3+c7 */ + tmp3 += tmp5 + tmp6 + + MULTIPLY(tmp13, FIX(2.205608352)) - /* c3+c5+c9-c7 */ + MULTIPLY(tmp15, FIX(1.742345811)); /* c1+c11 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp0, CONST_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp1, CONST_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp2, CONST_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp3, CONST_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 13) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/13)**2 = 64/169, which we partially + * fold into the constant multipliers and final shifting: + * cK now represents sqrt(2) * cos(K*pi/26) * 128/169. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*4]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*3]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*2]; + tmp3 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*1]; + tmp4 = dataptr[DCTSIZE*4] + wsptr[DCTSIZE*0]; + tmp5 = dataptr[DCTSIZE*5] + dataptr[DCTSIZE*7]; + tmp6 = dataptr[DCTSIZE*6]; + + tmp10 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*4]; + tmp11 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*3]; + tmp12 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*2]; + tmp13 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*1]; + tmp14 = dataptr[DCTSIZE*4] - wsptr[DCTSIZE*0]; + tmp15 = dataptr[DCTSIZE*5] - dataptr[DCTSIZE*7]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 + tmp1 + tmp2 + tmp3 + tmp4 + tmp5 + tmp6, + FIX(0.757396450)), /* 128/169 */ + CONST_BITS+1); + tmp6 += tmp6; + tmp0 -= tmp6; + tmp1 -= tmp6; + tmp2 -= tmp6; + tmp3 -= tmp6; + tmp4 -= tmp6; + tmp5 -= tmp6; + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp0, FIX(1.039995521)) + /* c2 */ + MULTIPLY(tmp1, FIX(0.801745081)) + /* c6 */ + MULTIPLY(tmp2, FIX(0.379824504)) - /* c10 */ + MULTIPLY(tmp3, FIX(0.129109289)) - /* c12 */ + MULTIPLY(tmp4, FIX(0.608465700)) - /* c8 */ + MULTIPLY(tmp5, FIX(0.948429952)), /* c4 */ + CONST_BITS+1); + z1 = MULTIPLY(tmp0 - tmp2, FIX(0.875087516)) - /* (c4+c6)/2 */ + MULTIPLY(tmp3 - tmp4, FIX(0.330085509)) - /* (c2-c10)/2 */ + MULTIPLY(tmp1 - tmp5, FIX(0.239678205)); /* (c8-c12)/2 */ + z2 = MULTIPLY(tmp0 + tmp2, FIX(0.073342435)) - /* (c4-c6)/2 */ + MULTIPLY(tmp3 + tmp4, FIX(0.709910013)) + /* (c2+c10)/2 */ + MULTIPLY(tmp1 + tmp5, FIX(0.368787494)); /* (c8+c12)/2 */ + + dataptr[DCTSIZE*4] = (DCTELEM) DESCALE(z1 + z2, CONST_BITS+1); + dataptr[DCTSIZE*6] = (DCTELEM) DESCALE(z1 - z2, CONST_BITS+1); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(1.001514908)); /* c3 */ + tmp2 = MULTIPLY(tmp10 + tmp12, FIX(0.881514751)); /* c5 */ + tmp3 = MULTIPLY(tmp10 + tmp13, FIX(0.710284161)) + /* c7 */ + MULTIPLY(tmp14 + tmp15, FIX(0.256335874)); /* c11 */ + tmp0 = tmp1 + tmp2 + tmp3 - + MULTIPLY(tmp10, FIX(1.530003162)) + /* c3+c5+c7-c1 */ + MULTIPLY(tmp14, FIX(0.241438564)); /* c9-c11 */ + tmp4 = MULTIPLY(tmp14 - tmp15, FIX(0.710284161)) - /* c7 */ + MULTIPLY(tmp11 + tmp12, FIX(0.256335874)); /* c11 */ + tmp5 = MULTIPLY(tmp11 + tmp13, - FIX(0.881514751)); /* -c5 */ + tmp1 += tmp4 + tmp5 + + MULTIPLY(tmp11, FIX(0.634110155)) - /* c5+c9+c11-c3 */ + MULTIPLY(tmp14, FIX(1.773594819)); /* c1+c7 */ + tmp6 = MULTIPLY(tmp12 + tmp13, - FIX(0.497774438)); /* -c9 */ + tmp2 += tmp4 + tmp6 - + MULTIPLY(tmp12, FIX(1.190715098)) + /* c1+c5-c9-c11 */ + MULTIPLY(tmp15, FIX(1.711799069)); /* c3+c7 */ + tmp3 += tmp5 + tmp6 + + MULTIPLY(tmp13, FIX(1.670519935)) - /* c3+c5+c9-c7 */ + MULTIPLY(tmp15, FIX(1.319646532)); /* c1+c11 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp0, CONST_BITS+1); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp1, CONST_BITS+1); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp2, CONST_BITS+1); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp3, CONST_BITS+1); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 14x14 sample block. + */ + +GLOBAL(void) +jpeg_fdct_14x14 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16; + DCTELEM workspace[8*6]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT. */ + /* cK represents sqrt(2) * cos(K*pi/28). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[13]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[12]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[11]); + tmp13 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[10]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[9]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[8]); + tmp6 = GETJSAMPLE(elemptr[6]) + GETJSAMPLE(elemptr[7]); + + tmp10 = tmp0 + tmp6; + tmp14 = tmp0 - tmp6; + tmp11 = tmp1 + tmp5; + tmp15 = tmp1 - tmp5; + tmp12 = tmp2 + tmp4; + tmp16 = tmp2 - tmp4; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[13]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[12]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[11]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[10]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[9]); + tmp5 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[8]); + tmp6 = GETJSAMPLE(elemptr[6]) - GETJSAMPLE(elemptr[7]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + (tmp10 + tmp11 + tmp12 + tmp13 - 14 * CENTERJSAMPLE); + tmp13 += tmp13; + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(1.274162392)) + /* c4 */ + MULTIPLY(tmp11 - tmp13, FIX(0.314692123)) - /* c12 */ + MULTIPLY(tmp12 - tmp13, FIX(0.881747734)), /* c8 */ + CONST_BITS); + + tmp10 = MULTIPLY(tmp14 + tmp15, FIX(1.105676686)); /* c6 */ + + dataptr[2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp14, FIX(0.273079590)) /* c2-c6 */ + + MULTIPLY(tmp16, FIX(0.613604268)), /* c10 */ + CONST_BITS); + dataptr[6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp15, FIX(1.719280954)) /* c6+c10 */ + - MULTIPLY(tmp16, FIX(1.378756276)), /* c2 */ + CONST_BITS); + + /* Odd part */ + + tmp10 = tmp1 + tmp2; + tmp11 = tmp5 - tmp4; + dataptr[7] = (DCTELEM) (tmp0 - tmp10 + tmp3 - tmp11 - tmp6); + tmp3 <<= CONST_BITS; + tmp10 = MULTIPLY(tmp10, - FIX(0.158341681)); /* -c13 */ + tmp11 = MULTIPLY(tmp11, FIX(1.405321284)); /* c1 */ + tmp10 += tmp11 - tmp3; + tmp11 = MULTIPLY(tmp0 + tmp2, FIX(1.197448846)) + /* c5 */ + MULTIPLY(tmp4 + tmp6, FIX(0.752406978)); /* c9 */ + dataptr[5] = (DCTELEM) + DESCALE(tmp10 + tmp11 - MULTIPLY(tmp2, FIX(2.373959773)) /* c3+c5-c13 */ + + MULTIPLY(tmp4, FIX(1.119999435)), /* c1+c11-c9 */ + CONST_BITS); + tmp12 = MULTIPLY(tmp0 + tmp1, FIX(1.334852607)) + /* c3 */ + MULTIPLY(tmp5 - tmp6, FIX(0.467085129)); /* c11 */ + dataptr[3] = (DCTELEM) + DESCALE(tmp10 + tmp12 - MULTIPLY(tmp1, FIX(0.424103948)) /* c3-c9-c13 */ + - MULTIPLY(tmp5, FIX(3.069855259)), /* c1+c5+c11 */ + CONST_BITS); + dataptr[1] = (DCTELEM) + DESCALE(tmp11 + tmp12 + tmp3 + tmp6 - + MULTIPLY(tmp0 + tmp6, FIX(1.126980169)), /* c3+c5-c1 */ + CONST_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 14) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/14)**2 = 16/49, which we partially + * fold into the constant multipliers and final shifting: + * cK now represents sqrt(2) * cos(K*pi/28) * 32/49. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*3]; + tmp13 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*2]; + tmp4 = dataptr[DCTSIZE*4] + wsptr[DCTSIZE*1]; + tmp5 = dataptr[DCTSIZE*5] + wsptr[DCTSIZE*0]; + tmp6 = dataptr[DCTSIZE*6] + dataptr[DCTSIZE*7]; + + tmp10 = tmp0 + tmp6; + tmp14 = tmp0 - tmp6; + tmp11 = tmp1 + tmp5; + tmp15 = tmp1 - tmp5; + tmp12 = tmp2 + tmp4; + tmp16 = tmp2 - tmp4; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*3]; + tmp3 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*2]; + tmp4 = dataptr[DCTSIZE*4] - wsptr[DCTSIZE*1]; + tmp5 = dataptr[DCTSIZE*5] - wsptr[DCTSIZE*0]; + tmp6 = dataptr[DCTSIZE*6] - dataptr[DCTSIZE*7]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11 + tmp12 + tmp13, + FIX(0.653061224)), /* 32/49 */ + CONST_BITS+1); + tmp13 += tmp13; + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(0.832106052)) + /* c4 */ + MULTIPLY(tmp11 - tmp13, FIX(0.205513223)) - /* c12 */ + MULTIPLY(tmp12 - tmp13, FIX(0.575835255)), /* c8 */ + CONST_BITS+1); + + tmp10 = MULTIPLY(tmp14 + tmp15, FIX(0.722074570)); /* c6 */ + + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp14, FIX(0.178337691)) /* c2-c6 */ + + MULTIPLY(tmp16, FIX(0.400721155)), /* c10 */ + CONST_BITS+1); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp15, FIX(1.122795725)) /* c6+c10 */ + - MULTIPLY(tmp16, FIX(0.900412262)), /* c2 */ + CONST_BITS+1); + + /* Odd part */ + + tmp10 = tmp1 + tmp2; + tmp11 = tmp5 - tmp4; + dataptr[DCTSIZE*7] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp10 + tmp3 - tmp11 - tmp6, + FIX(0.653061224)), /* 32/49 */ + CONST_BITS+1); + tmp3 = MULTIPLY(tmp3 , FIX(0.653061224)); /* 32/49 */ + tmp10 = MULTIPLY(tmp10, - FIX(0.103406812)); /* -c13 */ + tmp11 = MULTIPLY(tmp11, FIX(0.917760839)); /* c1 */ + tmp10 += tmp11 - tmp3; + tmp11 = MULTIPLY(tmp0 + tmp2, FIX(0.782007410)) + /* c5 */ + MULTIPLY(tmp4 + tmp6, FIX(0.491367823)); /* c9 */ + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(tmp10 + tmp11 - MULTIPLY(tmp2, FIX(1.550341076)) /* c3+c5-c13 */ + + MULTIPLY(tmp4, FIX(0.731428202)), /* c1+c11-c9 */ + CONST_BITS+1); + tmp12 = MULTIPLY(tmp0 + tmp1, FIX(0.871740478)) + /* c3 */ + MULTIPLY(tmp5 - tmp6, FIX(0.305035186)); /* c11 */ + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(tmp10 + tmp12 - MULTIPLY(tmp1, FIX(0.276965844)) /* c3-c9-c13 */ + - MULTIPLY(tmp5, FIX(2.004803435)), /* c1+c5+c11 */ + CONST_BITS+1); + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp11 + tmp12 + tmp3 + - MULTIPLY(tmp0, FIX(0.735987049)) /* c3+c5-c1 */ + - MULTIPLY(tmp6, FIX(0.082925825)), /* c9-c11-c13 */ + CONST_BITS+1); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 15x15 sample block. + */ + +GLOBAL(void) +jpeg_fdct_15x15 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16; + INT32 z1, z2, z3; + DCTELEM workspace[8*7]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT. */ + /* cK represents sqrt(2) * cos(K*pi/30). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[14]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[13]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[12]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[11]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[10]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[9]); + tmp6 = GETJSAMPLE(elemptr[6]) + GETJSAMPLE(elemptr[8]); + tmp7 = GETJSAMPLE(elemptr[7]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[14]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[13]); + tmp12 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[12]); + tmp13 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[11]); + tmp14 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[10]); + tmp15 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[9]); + tmp16 = GETJSAMPLE(elemptr[6]) - GETJSAMPLE(elemptr[8]); + + z1 = tmp0 + tmp4 + tmp5; + z2 = tmp1 + tmp3 + tmp6; + z3 = tmp2 + tmp7; + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) (z1 + z2 + z3 - 15 * CENTERJSAMPLE); + z3 += z3; + dataptr[6] = (DCTELEM) + DESCALE(MULTIPLY(z1 - z3, FIX(1.144122806)) - /* c6 */ + MULTIPLY(z2 - z3, FIX(0.437016024)), /* c12 */ + CONST_BITS); + tmp2 += ((tmp1 + tmp4) >> 1) - tmp7 - tmp7; + z1 = MULTIPLY(tmp3 - tmp2, FIX(1.531135173)) - /* c2+c14 */ + MULTIPLY(tmp6 - tmp2, FIX(2.238241955)); /* c4+c8 */ + z2 = MULTIPLY(tmp5 - tmp2, FIX(0.798468008)) - /* c8-c14 */ + MULTIPLY(tmp0 - tmp2, FIX(0.091361227)); /* c2-c4 */ + z3 = MULTIPLY(tmp0 - tmp3, FIX(1.383309603)) + /* c2 */ + MULTIPLY(tmp6 - tmp5, FIX(0.946293579)) + /* c8 */ + MULTIPLY(tmp1 - tmp4, FIX(0.790569415)); /* (c6+c12)/2 */ + + dataptr[2] = (DCTELEM) DESCALE(z1 + z3, CONST_BITS); + dataptr[4] = (DCTELEM) DESCALE(z2 + z3, CONST_BITS); + + /* Odd part */ + + tmp2 = MULTIPLY(tmp10 - tmp12 - tmp13 + tmp15 + tmp16, + FIX(1.224744871)); /* c5 */ + tmp1 = MULTIPLY(tmp10 - tmp14 - tmp15, FIX(1.344997024)) + /* c3 */ + MULTIPLY(tmp11 - tmp13 - tmp16, FIX(0.831253876)); /* c9 */ + tmp12 = MULTIPLY(tmp12, FIX(1.224744871)); /* c5 */ + tmp4 = MULTIPLY(tmp10 - tmp16, FIX(1.406466353)) + /* c1 */ + MULTIPLY(tmp11 + tmp14, FIX(1.344997024)) + /* c3 */ + MULTIPLY(tmp13 + tmp15, FIX(0.575212477)); /* c11 */ + tmp0 = MULTIPLY(tmp13, FIX(0.475753014)) - /* c7-c11 */ + MULTIPLY(tmp14, FIX(0.513743148)) + /* c3-c9 */ + MULTIPLY(tmp16, FIX(1.700497885)) + tmp4 + tmp12; /* c1+c13 */ + tmp3 = MULTIPLY(tmp10, - FIX(0.355500862)) - /* -(c1-c7) */ + MULTIPLY(tmp11, FIX(2.176250899)) - /* c3+c9 */ + MULTIPLY(tmp15, FIX(0.869244010)) + tmp4 - tmp12; /* c11+c13 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp0, CONST_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp1, CONST_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp2, CONST_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp3, CONST_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 15) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/15)**2 = 64/225, which we partially + * fold into the constant multipliers and final shifting: + * cK now represents sqrt(2) * cos(K*pi/30) * 256/225. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*6]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*5]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*4]; + tmp3 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*3]; + tmp4 = dataptr[DCTSIZE*4] + wsptr[DCTSIZE*2]; + tmp5 = dataptr[DCTSIZE*5] + wsptr[DCTSIZE*1]; + tmp6 = dataptr[DCTSIZE*6] + wsptr[DCTSIZE*0]; + tmp7 = dataptr[DCTSIZE*7]; + + tmp10 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*6]; + tmp11 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*5]; + tmp12 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*4]; + tmp13 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*3]; + tmp14 = dataptr[DCTSIZE*4] - wsptr[DCTSIZE*2]; + tmp15 = dataptr[DCTSIZE*5] - wsptr[DCTSIZE*1]; + tmp16 = dataptr[DCTSIZE*6] - wsptr[DCTSIZE*0]; + + z1 = tmp0 + tmp4 + tmp5; + z2 = tmp1 + tmp3 + tmp6; + z3 = tmp2 + tmp7; + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(z1 + z2 + z3, FIX(1.137777778)), /* 256/225 */ + CONST_BITS+2); + z3 += z3; + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(MULTIPLY(z1 - z3, FIX(1.301757503)) - /* c6 */ + MULTIPLY(z2 - z3, FIX(0.497227121)), /* c12 */ + CONST_BITS+2); + tmp2 += ((tmp1 + tmp4) >> 1) - tmp7 - tmp7; + z1 = MULTIPLY(tmp3 - tmp2, FIX(1.742091575)) - /* c2+c14 */ + MULTIPLY(tmp6 - tmp2, FIX(2.546621957)); /* c4+c8 */ + z2 = MULTIPLY(tmp5 - tmp2, FIX(0.908479156)) - /* c8-c14 */ + MULTIPLY(tmp0 - tmp2, FIX(0.103948774)); /* c2-c4 */ + z3 = MULTIPLY(tmp0 - tmp3, FIX(1.573898926)) + /* c2 */ + MULTIPLY(tmp6 - tmp5, FIX(1.076671805)) + /* c8 */ + MULTIPLY(tmp1 - tmp4, FIX(0.899492312)); /* (c6+c12)/2 */ + + dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(z1 + z3, CONST_BITS+2); + dataptr[DCTSIZE*4] = (DCTELEM) DESCALE(z2 + z3, CONST_BITS+2); + + /* Odd part */ + + tmp2 = MULTIPLY(tmp10 - tmp12 - tmp13 + tmp15 + tmp16, + FIX(1.393487498)); /* c5 */ + tmp1 = MULTIPLY(tmp10 - tmp14 - tmp15, FIX(1.530307725)) + /* c3 */ + MULTIPLY(tmp11 - tmp13 - tmp16, FIX(0.945782187)); /* c9 */ + tmp12 = MULTIPLY(tmp12, FIX(1.393487498)); /* c5 */ + tmp4 = MULTIPLY(tmp10 - tmp16, FIX(1.600246161)) + /* c1 */ + MULTIPLY(tmp11 + tmp14, FIX(1.530307725)) + /* c3 */ + MULTIPLY(tmp13 + tmp15, FIX(0.654463974)); /* c11 */ + tmp0 = MULTIPLY(tmp13, FIX(0.541301207)) - /* c7-c11 */ + MULTIPLY(tmp14, FIX(0.584525538)) + /* c3-c9 */ + MULTIPLY(tmp16, FIX(1.934788705)) + tmp4 + tmp12; /* c1+c13 */ + tmp3 = MULTIPLY(tmp10, - FIX(0.404480980)) - /* -(c1-c7) */ + MULTIPLY(tmp11, FIX(2.476089912)) - /* c3+c9 */ + MULTIPLY(tmp15, FIX(0.989006518)) + tmp4 - tmp12; /* c11+c13 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp0, CONST_BITS+2); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp1, CONST_BITS+2); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp2, CONST_BITS+2); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp3, CONST_BITS+2); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 16x16 sample block. + */ + +GLOBAL(void) +jpeg_fdct_16x16 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16, tmp17; + DCTELEM workspace[DCTSIZE2]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* cK represents sqrt(2) * cos(K*pi/32). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[15]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[14]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[13]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[12]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[11]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[10]); + tmp6 = GETJSAMPLE(elemptr[6]) + GETJSAMPLE(elemptr[9]); + tmp7 = GETJSAMPLE(elemptr[7]) + GETJSAMPLE(elemptr[8]); + + tmp10 = tmp0 + tmp7; + tmp14 = tmp0 - tmp7; + tmp11 = tmp1 + tmp6; + tmp15 = tmp1 - tmp6; + tmp12 = tmp2 + tmp5; + tmp16 = tmp2 - tmp5; + tmp13 = tmp3 + tmp4; + tmp17 = tmp3 - tmp4; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[15]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[14]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[13]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[12]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[11]); + tmp5 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[10]); + tmp6 = GETJSAMPLE(elemptr[6]) - GETJSAMPLE(elemptr[9]); + tmp7 = GETJSAMPLE(elemptr[7]) - GETJSAMPLE(elemptr[8]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 + tmp12 + tmp13 - 16 * CENTERJSAMPLE) << PASS1_BITS); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(1.306562965)) + /* c4[16] = c2[8] */ + MULTIPLY(tmp11 - tmp12, FIX_0_541196100), /* c12[16] = c6[8] */ + CONST_BITS-PASS1_BITS); + + tmp10 = MULTIPLY(tmp17 - tmp15, FIX(0.275899379)) + /* c14[16] = c7[8] */ + MULTIPLY(tmp14 - tmp16, FIX(1.387039845)); /* c2[16] = c1[8] */ + + dataptr[2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp15, FIX(1.451774982)) /* c6+c14 */ + + MULTIPLY(tmp16, FIX(2.172734804)), /* c2+c10 */ + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(0.211164243)) /* c2-c6 */ + - MULTIPLY(tmp17, FIX(1.061594338)), /* c10+c14 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp11 = MULTIPLY(tmp0 + tmp1, FIX(1.353318001)) + /* c3 */ + MULTIPLY(tmp6 - tmp7, FIX(0.410524528)); /* c13 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(1.247225013)) + /* c5 */ + MULTIPLY(tmp5 + tmp7, FIX(0.666655658)); /* c11 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(1.093201867)) + /* c7 */ + MULTIPLY(tmp4 - tmp7, FIX(0.897167586)); /* c9 */ + tmp14 = MULTIPLY(tmp1 + tmp2, FIX(0.138617169)) + /* c15 */ + MULTIPLY(tmp6 - tmp5, FIX(1.407403738)); /* c1 */ + tmp15 = MULTIPLY(tmp1 + tmp3, - FIX(0.666655658)) + /* -c11 */ + MULTIPLY(tmp4 + tmp6, - FIX(1.247225013)); /* -c5 */ + tmp16 = MULTIPLY(tmp2 + tmp3, - FIX(1.353318001)) + /* -c3 */ + MULTIPLY(tmp5 - tmp4, FIX(0.410524528)); /* c13 */ + tmp10 = tmp11 + tmp12 + tmp13 - + MULTIPLY(tmp0, FIX(2.286341144)) + /* c7+c5+c3-c1 */ + MULTIPLY(tmp7, FIX(0.779653625)); /* c15+c13-c11+c9 */ + tmp11 += tmp14 + tmp15 + MULTIPLY(tmp1, FIX(0.071888074)) /* c9-c3-c15+c11 */ + - MULTIPLY(tmp6, FIX(1.663905119)); /* c7+c13+c1-c5 */ + tmp12 += tmp14 + tmp16 - MULTIPLY(tmp2, FIX(1.125726048)) /* c7+c5+c15-c3 */ + + MULTIPLY(tmp5, FIX(1.227391138)); /* c9-c11+c1-c13 */ + tmp13 += tmp15 + tmp16 + MULTIPLY(tmp3, FIX(1.065388962)) /* c15+c3+c11-c7 */ + + MULTIPLY(tmp4, FIX(2.167985692)); /* c1+c13+c5-c9 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp10, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp11, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp12, CONST_BITS-PASS1_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp13, CONST_BITS-PASS1_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == DCTSIZE * 2) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/16)**2 = 1/2**2. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*4]; + tmp4 = dataptr[DCTSIZE*4] + wsptr[DCTSIZE*3]; + tmp5 = dataptr[DCTSIZE*5] + wsptr[DCTSIZE*2]; + tmp6 = dataptr[DCTSIZE*6] + wsptr[DCTSIZE*1]; + tmp7 = dataptr[DCTSIZE*7] + wsptr[DCTSIZE*0]; + + tmp10 = tmp0 + tmp7; + tmp14 = tmp0 - tmp7; + tmp11 = tmp1 + tmp6; + tmp15 = tmp1 - tmp6; + tmp12 = tmp2 + tmp5; + tmp16 = tmp2 - tmp5; + tmp13 = tmp3 + tmp4; + tmp17 = tmp3 - tmp4; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*4]; + tmp4 = dataptr[DCTSIZE*4] - wsptr[DCTSIZE*3]; + tmp5 = dataptr[DCTSIZE*5] - wsptr[DCTSIZE*2]; + tmp6 = dataptr[DCTSIZE*6] - wsptr[DCTSIZE*1]; + tmp7 = dataptr[DCTSIZE*7] - wsptr[DCTSIZE*0]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(tmp10 + tmp11 + tmp12 + tmp13, PASS1_BITS+2); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(1.306562965)) + /* c4[16] = c2[8] */ + MULTIPLY(tmp11 - tmp12, FIX_0_541196100), /* c12[16] = c6[8] */ + CONST_BITS+PASS1_BITS+2); + + tmp10 = MULTIPLY(tmp17 - tmp15, FIX(0.275899379)) + /* c14[16] = c7[8] */ + MULTIPLY(tmp14 - tmp16, FIX(1.387039845)); /* c2[16] = c1[8] */ + + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp15, FIX(1.451774982)) /* c6+c14 */ + + MULTIPLY(tmp16, FIX(2.172734804)), /* c2+10 */ + CONST_BITS+PASS1_BITS+2); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(0.211164243)) /* c2-c6 */ + - MULTIPLY(tmp17, FIX(1.061594338)), /* c10+c14 */ + CONST_BITS+PASS1_BITS+2); + + /* Odd part */ + + tmp11 = MULTIPLY(tmp0 + tmp1, FIX(1.353318001)) + /* c3 */ + MULTIPLY(tmp6 - tmp7, FIX(0.410524528)); /* c13 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(1.247225013)) + /* c5 */ + MULTIPLY(tmp5 + tmp7, FIX(0.666655658)); /* c11 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(1.093201867)) + /* c7 */ + MULTIPLY(tmp4 - tmp7, FIX(0.897167586)); /* c9 */ + tmp14 = MULTIPLY(tmp1 + tmp2, FIX(0.138617169)) + /* c15 */ + MULTIPLY(tmp6 - tmp5, FIX(1.407403738)); /* c1 */ + tmp15 = MULTIPLY(tmp1 + tmp3, - FIX(0.666655658)) + /* -c11 */ + MULTIPLY(tmp4 + tmp6, - FIX(1.247225013)); /* -c5 */ + tmp16 = MULTIPLY(tmp2 + tmp3, - FIX(1.353318001)) + /* -c3 */ + MULTIPLY(tmp5 - tmp4, FIX(0.410524528)); /* c13 */ + tmp10 = tmp11 + tmp12 + tmp13 - + MULTIPLY(tmp0, FIX(2.286341144)) + /* c7+c5+c3-c1 */ + MULTIPLY(tmp7, FIX(0.779653625)); /* c15+c13-c11+c9 */ + tmp11 += tmp14 + tmp15 + MULTIPLY(tmp1, FIX(0.071888074)) /* c9-c3-c15+c11 */ + - MULTIPLY(tmp6, FIX(1.663905119)); /* c7+c13+c1-c5 */ + tmp12 += tmp14 + tmp16 - MULTIPLY(tmp2, FIX(1.125726048)) /* c7+c5+c15-c3 */ + + MULTIPLY(tmp5, FIX(1.227391138)); /* c9-c11+c1-c13 */ + tmp13 += tmp15 + tmp16 + MULTIPLY(tmp3, FIX(1.065388962)) /* c15+c3+c11-c7 */ + + MULTIPLY(tmp4, FIX(2.167985692)); /* c1+c13+c5-c9 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp10, CONST_BITS+PASS1_BITS+2); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp11, CONST_BITS+PASS1_BITS+2); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp12, CONST_BITS+PASS1_BITS+2); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp13, CONST_BITS+PASS1_BITS+2); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 16x8 sample block. + * + * 16-point FDCT in pass 1 (rows), 8-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_16x8 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16, tmp17; + INT32 z1; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 16-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/32). */ + + dataptr = data; + ctr = 0; + for (ctr = 0; ctr < DCTSIZE; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[15]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[14]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[13]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[12]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[11]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[10]); + tmp6 = GETJSAMPLE(elemptr[6]) + GETJSAMPLE(elemptr[9]); + tmp7 = GETJSAMPLE(elemptr[7]) + GETJSAMPLE(elemptr[8]); + + tmp10 = tmp0 + tmp7; + tmp14 = tmp0 - tmp7; + tmp11 = tmp1 + tmp6; + tmp15 = tmp1 - tmp6; + tmp12 = tmp2 + tmp5; + tmp16 = tmp2 - tmp5; + tmp13 = tmp3 + tmp4; + tmp17 = tmp3 - tmp4; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[15]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[14]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[13]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[12]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[11]); + tmp5 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[10]); + tmp6 = GETJSAMPLE(elemptr[6]) - GETJSAMPLE(elemptr[9]); + tmp7 = GETJSAMPLE(elemptr[7]) - GETJSAMPLE(elemptr[8]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 + tmp12 + tmp13 - 16 * CENTERJSAMPLE) << PASS1_BITS); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(1.306562965)) + /* c4[16] = c2[8] */ + MULTIPLY(tmp11 - tmp12, FIX_0_541196100), /* c12[16] = c6[8] */ + CONST_BITS-PASS1_BITS); + + tmp10 = MULTIPLY(tmp17 - tmp15, FIX(0.275899379)) + /* c14[16] = c7[8] */ + MULTIPLY(tmp14 - tmp16, FIX(1.387039845)); /* c2[16] = c1[8] */ + + dataptr[2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp15, FIX(1.451774982)) /* c6+c14 */ + + MULTIPLY(tmp16, FIX(2.172734804)), /* c2+c10 */ + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(0.211164243)) /* c2-c6 */ + - MULTIPLY(tmp17, FIX(1.061594338)), /* c10+c14 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp11 = MULTIPLY(tmp0 + tmp1, FIX(1.353318001)) + /* c3 */ + MULTIPLY(tmp6 - tmp7, FIX(0.410524528)); /* c13 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(1.247225013)) + /* c5 */ + MULTIPLY(tmp5 + tmp7, FIX(0.666655658)); /* c11 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(1.093201867)) + /* c7 */ + MULTIPLY(tmp4 - tmp7, FIX(0.897167586)); /* c9 */ + tmp14 = MULTIPLY(tmp1 + tmp2, FIX(0.138617169)) + /* c15 */ + MULTIPLY(tmp6 - tmp5, FIX(1.407403738)); /* c1 */ + tmp15 = MULTIPLY(tmp1 + tmp3, - FIX(0.666655658)) + /* -c11 */ + MULTIPLY(tmp4 + tmp6, - FIX(1.247225013)); /* -c5 */ + tmp16 = MULTIPLY(tmp2 + tmp3, - FIX(1.353318001)) + /* -c3 */ + MULTIPLY(tmp5 - tmp4, FIX(0.410524528)); /* c13 */ + tmp10 = tmp11 + tmp12 + tmp13 - + MULTIPLY(tmp0, FIX(2.286341144)) + /* c7+c5+c3-c1 */ + MULTIPLY(tmp7, FIX(0.779653625)); /* c15+c13-c11+c9 */ + tmp11 += tmp14 + tmp15 + MULTIPLY(tmp1, FIX(0.071888074)) /* c9-c3-c15+c11 */ + - MULTIPLY(tmp6, FIX(1.663905119)); /* c7+c13+c1-c5 */ + tmp12 += tmp14 + tmp16 - MULTIPLY(tmp2, FIX(1.125726048)) /* c7+c5+c15-c3 */ + + MULTIPLY(tmp5, FIX(1.227391138)); /* c9-c11+c1-c13 */ + tmp13 += tmp15 + tmp16 + MULTIPLY(tmp3, FIX(1.065388962)) /* c15+c3+c11-c7 */ + + MULTIPLY(tmp4, FIX(2.167985692)); /* c1+c13+c5-c9 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp10, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp11, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp12, CONST_BITS-PASS1_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp13, CONST_BITS-PASS1_BITS); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by 8/16 = 1/2. + */ + + dataptr = data; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { /* Even part per LL&M figure 1 --- note that published figure is faulty; * rotator "sqrt(2)*c1" should be "sqrt(2)*c6". */ - + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*4]; + + tmp10 = tmp0 + tmp3; + tmp12 = tmp0 - tmp3; + tmp11 = tmp1 + tmp2; + tmp13 = tmp1 - tmp2; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4]; + + dataptr[DCTSIZE*0] = (DCTELEM) DESCALE(tmp10 + tmp11, PASS1_BITS+1); + dataptr[DCTSIZE*4] = (DCTELEM) DESCALE(tmp10 - tmp11, PASS1_BITS+1); + + z1 = MULTIPLY(tmp12 + tmp13, FIX_0_541196100); + dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(z1 + MULTIPLY(tmp12, FIX_0_765366865), + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*6] = (DCTELEM) DESCALE(z1 - MULTIPLY(tmp13, FIX_1_847759065), + CONST_BITS+PASS1_BITS+1); + + /* Odd part per figure 8 --- note paper omits factor of sqrt(2). + * 8-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/16). + * i0..i3 in the paper are tmp0..tmp3 here. + */ + + tmp10 = tmp0 + tmp3; + tmp11 = tmp1 + tmp2; + tmp12 = tmp0 + tmp2; + tmp13 = tmp1 + tmp3; + z1 = MULTIPLY(tmp12 + tmp13, FIX_1_175875602); /* c3 */ + + tmp0 = MULTIPLY(tmp0, FIX_1_501321110); /* c1+c3-c5-c7 */ + tmp1 = MULTIPLY(tmp1, FIX_3_072711026); /* c1+c3+c5-c7 */ + tmp2 = MULTIPLY(tmp2, FIX_2_053119869); /* c1+c3-c5+c7 */ + tmp3 = MULTIPLY(tmp3, FIX_0_298631336); /* -c1+c3+c5-c7 */ + tmp10 = MULTIPLY(tmp10, - FIX_0_899976223); /* c7-c3 */ + tmp11 = MULTIPLY(tmp11, - FIX_2_562915447); /* -c1-c3 */ + tmp12 = MULTIPLY(tmp12, - FIX_0_390180644); /* c5-c3 */ + tmp13 = MULTIPLY(tmp13, - FIX_1_961570560); /* -c3-c5 */ + + tmp12 += z1; + tmp13 += z1; + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp0 + tmp10 + tmp12, + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp1 + tmp11 + tmp13, + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp2 + tmp11 + tmp12, + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp3 + tmp10 + tmp13, + CONST_BITS+PASS1_BITS+1); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 14x7 sample block. + * + * 14-point FDCT in pass 1 (rows), 7-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_14x7 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16; + INT32 z1, z2, z3; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Zero bottom row of output coefficient block. */ + MEMZERO(&data[DCTSIZE*7], SIZEOF(DCTELEM) * DCTSIZE); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 14-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/28). */ + + dataptr = data; + for (ctr = 0; ctr < 7; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[13]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[12]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[11]); + tmp13 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[10]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[9]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[8]); + tmp6 = GETJSAMPLE(elemptr[6]) + GETJSAMPLE(elemptr[7]); + + tmp10 = tmp0 + tmp6; + tmp14 = tmp0 - tmp6; + tmp11 = tmp1 + tmp5; + tmp15 = tmp1 - tmp5; + tmp12 = tmp2 + tmp4; + tmp16 = tmp2 - tmp4; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[13]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[12]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[11]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[10]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[9]); + tmp5 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[8]); + tmp6 = GETJSAMPLE(elemptr[6]) - GETJSAMPLE(elemptr[7]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 + tmp12 + tmp13 - 14 * CENTERJSAMPLE) << PASS1_BITS); + tmp13 += tmp13; + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(1.274162392)) + /* c4 */ + MULTIPLY(tmp11 - tmp13, FIX(0.314692123)) - /* c12 */ + MULTIPLY(tmp12 - tmp13, FIX(0.881747734)), /* c8 */ + CONST_BITS-PASS1_BITS); + + tmp10 = MULTIPLY(tmp14 + tmp15, FIX(1.105676686)); /* c6 */ + + dataptr[2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp14, FIX(0.273079590)) /* c2-c6 */ + + MULTIPLY(tmp16, FIX(0.613604268)), /* c10 */ + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp15, FIX(1.719280954)) /* c6+c10 */ + - MULTIPLY(tmp16, FIX(1.378756276)), /* c2 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp10 = tmp1 + tmp2; + tmp11 = tmp5 - tmp4; + dataptr[7] = (DCTELEM) ((tmp0 - tmp10 + tmp3 - tmp11 - tmp6) << PASS1_BITS); + tmp3 <<= CONST_BITS; + tmp10 = MULTIPLY(tmp10, - FIX(0.158341681)); /* -c13 */ + tmp11 = MULTIPLY(tmp11, FIX(1.405321284)); /* c1 */ + tmp10 += tmp11 - tmp3; + tmp11 = MULTIPLY(tmp0 + tmp2, FIX(1.197448846)) + /* c5 */ + MULTIPLY(tmp4 + tmp6, FIX(0.752406978)); /* c9 */ + dataptr[5] = (DCTELEM) + DESCALE(tmp10 + tmp11 - MULTIPLY(tmp2, FIX(2.373959773)) /* c3+c5-c13 */ + + MULTIPLY(tmp4, FIX(1.119999435)), /* c1+c11-c9 */ + CONST_BITS-PASS1_BITS); + tmp12 = MULTIPLY(tmp0 + tmp1, FIX(1.334852607)) + /* c3 */ + MULTIPLY(tmp5 - tmp6, FIX(0.467085129)); /* c11 */ + dataptr[3] = (DCTELEM) + DESCALE(tmp10 + tmp12 - MULTIPLY(tmp1, FIX(0.424103948)) /* c3-c9-c13 */ + - MULTIPLY(tmp5, FIX(3.069855259)), /* c1+c5+c11 */ + CONST_BITS-PASS1_BITS); + dataptr[1] = (DCTELEM) + DESCALE(tmp11 + tmp12 + tmp3 + tmp6 - + MULTIPLY(tmp0 + tmp6, FIX(1.126980169)), /* c3+c5-c1 */ + CONST_BITS-PASS1_BITS); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/14)*(8/7) = 32/49, which we + * partially fold into the constant multipliers and final shifting: + * 7-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/14) * 64/49. + */ + + dataptr = data; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*6]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*5]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*4]; + tmp3 = dataptr[DCTSIZE*3]; + + tmp10 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*6]; + tmp11 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*5]; + tmp12 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*4]; + + z1 = tmp0 + tmp2; + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(z1 + tmp1 + tmp3, FIX(1.306122449)), /* 64/49 */ + CONST_BITS+PASS1_BITS+1); + tmp3 += tmp3; + z1 -= tmp3; + z1 -= tmp3; + z1 = MULTIPLY(z1, FIX(0.461784020)); /* (c2+c6-c4)/2 */ + z2 = MULTIPLY(tmp0 - tmp2, FIX(1.202428084)); /* (c2+c4-c6)/2 */ + z3 = MULTIPLY(tmp1 - tmp2, FIX(0.411026446)); /* c6 */ + dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(z1 + z2 + z3, CONST_BITS+PASS1_BITS+1); + z1 -= z2; + z2 = MULTIPLY(tmp0 - tmp1, FIX(1.151670509)); /* c4 */ + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(z2 + z3 - MULTIPLY(tmp1 - tmp3, FIX(0.923568041)), /* c2+c6-c4 */ + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*6] = (DCTELEM) DESCALE(z1 + z2, CONST_BITS+PASS1_BITS+1); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(1.221765677)); /* (c3+c1-c5)/2 */ + tmp2 = MULTIPLY(tmp10 - tmp11, FIX(0.222383464)); /* (c3+c5-c1)/2 */ + tmp0 = tmp1 - tmp2; + tmp1 += tmp2; + tmp2 = MULTIPLY(tmp11 + tmp12, - FIX(1.800824523)); /* -c1 */ + tmp1 += tmp2; + tmp3 = MULTIPLY(tmp10 + tmp12, FIX(0.801442310)); /* c5 */ + tmp0 += tmp3; + tmp2 += tmp3 + MULTIPLY(tmp12, FIX(2.443531355)); /* c3+c1-c5 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp0, CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp1, CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp2, CONST_BITS+PASS1_BITS+1); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 12x6 sample block. + * + * 12-point FDCT in pass 1 (rows), 6-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_12x6 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Zero 2 bottom rows of output coefficient block. */ + MEMZERO(&data[DCTSIZE*6], SIZEOF(DCTELEM) * DCTSIZE * 2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 12-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/24). */ + + dataptr = data; + for (ctr = 0; ctr < 6; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[11]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[10]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[9]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[8]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[7]); + tmp5 = GETJSAMPLE(elemptr[5]) + GETJSAMPLE(elemptr[6]); + + tmp10 = tmp0 + tmp5; + tmp13 = tmp0 - tmp5; + tmp11 = tmp1 + tmp4; + tmp14 = tmp1 - tmp4; + tmp12 = tmp2 + tmp3; + tmp15 = tmp2 - tmp3; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[11]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[10]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[9]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[8]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[7]); + tmp5 = GETJSAMPLE(elemptr[5]) - GETJSAMPLE(elemptr[6]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 + tmp12 - 12 * CENTERJSAMPLE) << PASS1_BITS); + dataptr[6] = (DCTELEM) ((tmp13 - tmp14 - tmp15) << PASS1_BITS); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.224744871)), /* c4 */ + CONST_BITS-PASS1_BITS); + dataptr[2] = (DCTELEM) + DESCALE(tmp14 - tmp15 + MULTIPLY(tmp13 + tmp15, FIX(1.366025404)), /* c2 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp1 + tmp4, FIX_0_541196100); /* c9 */ + tmp14 = tmp10 + MULTIPLY(tmp1, FIX_0_765366865); /* c3-c9 */ + tmp15 = tmp10 - MULTIPLY(tmp4, FIX_1_847759065); /* c3+c9 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(1.121971054)); /* c5 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(0.860918669)); /* c7 */ + tmp10 = tmp12 + tmp13 + tmp14 - MULTIPLY(tmp0, FIX(0.580774953)) /* c5+c7-c1 */ + + MULTIPLY(tmp5, FIX(0.184591911)); /* c11 */ + tmp11 = MULTIPLY(tmp2 + tmp3, - FIX(0.184591911)); /* -c11 */ + tmp12 += tmp11 - tmp15 - MULTIPLY(tmp2, FIX(2.339493912)) /* c1+c5-c11 */ + + MULTIPLY(tmp5, FIX(0.860918669)); /* c7 */ + tmp13 += tmp11 - tmp14 + MULTIPLY(tmp3, FIX(0.725788011)) /* c1+c11-c7 */ + - MULTIPLY(tmp5, FIX(1.121971054)); /* c5 */ + tmp11 = tmp15 + MULTIPLY(tmp0 - tmp3, FIX(1.306562965)) /* c3 */ + - MULTIPLY(tmp2 + tmp5, FIX_0_541196100); /* c9 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp10, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp11, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp12, CONST_BITS-PASS1_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp13, CONST_BITS-PASS1_BITS); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/12)*(8/6) = 8/9, which we + * partially fold into the constant multipliers and final shifting: + * 6-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/12) * 16/9. + */ + + dataptr = data; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*5]; + tmp11 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*3]; + + tmp10 = tmp0 + tmp2; + tmp12 = tmp0 - tmp2; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*3]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp12, FIX(2.177324216)), /* c2 */ + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp11, FIX(1.257078722)), /* c4 */ + CONST_BITS+PASS1_BITS+1); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp2, FIX(0.650711829)); /* c5 */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0 + tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp2, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp2 - tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS+1); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 10x5 sample block. + * + * 10-point FDCT in pass 1 (rows), 5-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_10x5 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Zero 3 bottom rows of output coefficient block. */ + MEMZERO(&data[DCTSIZE*5], SIZEOF(DCTELEM) * DCTSIZE * 3); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 10-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/20). */ + + dataptr = data; + for (ctr = 0; ctr < 5; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[9]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[8]); + tmp12 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[7]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[6]); + tmp4 = GETJSAMPLE(elemptr[4]) + GETJSAMPLE(elemptr[5]); + + tmp10 = tmp0 + tmp4; + tmp13 = tmp0 - tmp4; + tmp11 = tmp1 + tmp3; + tmp14 = tmp1 - tmp3; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[9]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[8]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[7]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[6]); + tmp4 = GETJSAMPLE(elemptr[4]) - GETJSAMPLE(elemptr[5]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 + tmp12 - 10 * CENTERJSAMPLE) << PASS1_BITS); + tmp12 += tmp12; + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.144122806)) - /* c4 */ + MULTIPLY(tmp11 - tmp12, FIX(0.437016024)), /* c8 */ + CONST_BITS-PASS1_BITS); + tmp10 = MULTIPLY(tmp13 + tmp14, FIX(0.831253876)); /* c6 */ + dataptr[2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp13, FIX(0.513743148)), /* c2-c6 */ + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(2.176250899)), /* c2+c6 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp10 = tmp0 + tmp4; + tmp11 = tmp1 - tmp3; + dataptr[5] = (DCTELEM) ((tmp10 - tmp11 - tmp2) << PASS1_BITS); + tmp2 <<= CONST_BITS; + dataptr[1] = (DCTELEM) + DESCALE(MULTIPLY(tmp0, FIX(1.396802247)) + /* c1 */ + MULTIPLY(tmp1, FIX(1.260073511)) + tmp2 + /* c3 */ + MULTIPLY(tmp3, FIX(0.642039522)) + /* c7 */ + MULTIPLY(tmp4, FIX(0.221231742)), /* c9 */ + CONST_BITS-PASS1_BITS); + tmp12 = MULTIPLY(tmp0 - tmp4, FIX(0.951056516)) - /* (c3+c7)/2 */ + MULTIPLY(tmp1 + tmp3, FIX(0.587785252)); /* (c1-c9)/2 */ + tmp13 = MULTIPLY(tmp10 + tmp11, FIX(0.309016994)) + /* (c3-c7)/2 */ + (tmp11 << (CONST_BITS - 1)) - tmp2; + dataptr[3] = (DCTELEM) DESCALE(tmp12 + tmp13, CONST_BITS-PASS1_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp12 - tmp13, CONST_BITS-PASS1_BITS); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/10)*(8/5) = 32/25, which we + * fold into the constant multipliers: + * 5-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/10) * 32/25. + */ + + dataptr = data; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*4]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*3]; + tmp2 = dataptr[DCTSIZE*2]; + + tmp10 = tmp0 + tmp1; + tmp11 = tmp0 - tmp1; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*4]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*3]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp2, FIX(1.28)), /* 32/25 */ + CONST_BITS+PASS1_BITS); + tmp11 = MULTIPLY(tmp11, FIX(1.011928851)); /* (c2+c4)/2 */ + tmp10 -= tmp2 << 2; + tmp10 = MULTIPLY(tmp10, FIX(0.452548340)); /* (c2-c4)/2 */ + dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(tmp11 + tmp10, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) DESCALE(tmp11 - tmp10, CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp1, FIX(1.064004961)); /* c3 */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0, FIX(0.657591230)), /* c1-c3 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp1, FIX(2.785601151)), /* c1+c3 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on an 8x4 sample block. + * + * 8-point FDCT in pass 1 (rows), 4-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_8x4 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3; + INT32 tmp10, tmp11, tmp12, tmp13; + INT32 z1; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Zero 4 bottom rows of output coefficient block. */ + MEMZERO(&data[DCTSIZE*4], SIZEOF(DCTELEM) * DCTSIZE * 4); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We must also scale the output by 8/4 = 2, which we add here. */ + + dataptr = data; + for (ctr = 0; ctr < 4; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part per LL&M figure 1 --- note that published figure is faulty; + * rotator "sqrt(2)*c1" should be "sqrt(2)*c6". + */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[7]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[6]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[5]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[4]); + + tmp10 = tmp0 + tmp3; + tmp12 = tmp0 - tmp3; + tmp11 = tmp1 + tmp2; + tmp13 = tmp1 - tmp2; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[7]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[6]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[5]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[4]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 - 8 * CENTERJSAMPLE) << (PASS1_BITS+1)); + dataptr[4] = (DCTELEM) ((tmp10 - tmp11) << (PASS1_BITS+1)); + + z1 = MULTIPLY(tmp12 + tmp13, FIX_0_541196100); + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS-PASS1_BITS-2); + dataptr[2] = (DCTELEM) RIGHT_SHIFT(z1 + MULTIPLY(tmp12, FIX_0_765366865), + CONST_BITS-PASS1_BITS-1); + dataptr[6] = (DCTELEM) RIGHT_SHIFT(z1 - MULTIPLY(tmp13, FIX_1_847759065), + CONST_BITS-PASS1_BITS-1); + + /* Odd part per figure 8 --- note paper omits factor of sqrt(2). + * 8-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/16). + * i0..i3 in the paper are tmp0..tmp3 here. + */ + + tmp10 = tmp0 + tmp3; + tmp11 = tmp1 + tmp2; + tmp12 = tmp0 + tmp2; + tmp13 = tmp1 + tmp3; + z1 = MULTIPLY(tmp12 + tmp13, FIX_1_175875602); /* c3 */ + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS-PASS1_BITS-2); + + tmp0 = MULTIPLY(tmp0, FIX_1_501321110); /* c1+c3-c5-c7 */ + tmp1 = MULTIPLY(tmp1, FIX_3_072711026); /* c1+c3+c5-c7 */ + tmp2 = MULTIPLY(tmp2, FIX_2_053119869); /* c1+c3-c5+c7 */ + tmp3 = MULTIPLY(tmp3, FIX_0_298631336); /* -c1+c3+c5-c7 */ + tmp10 = MULTIPLY(tmp10, - FIX_0_899976223); /* c7-c3 */ + tmp11 = MULTIPLY(tmp11, - FIX_2_562915447); /* -c1-c3 */ + tmp12 = MULTIPLY(tmp12, - FIX_0_390180644); /* c5-c3 */ + tmp13 = MULTIPLY(tmp13, - FIX_1_961570560); /* -c3-c5 */ + + tmp12 += z1; + tmp13 += z1; + + dataptr[1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + tmp10 + tmp12, CONST_BITS-PASS1_BITS-1); + dataptr[3] = (DCTELEM) + RIGHT_SHIFT(tmp1 + tmp11 + tmp13, CONST_BITS-PASS1_BITS-1); + dataptr[5] = (DCTELEM) + RIGHT_SHIFT(tmp2 + tmp11 + tmp12, CONST_BITS-PASS1_BITS-1); + dataptr[7] = (DCTELEM) + RIGHT_SHIFT(tmp3 + tmp10 + tmp13, CONST_BITS-PASS1_BITS-1); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * 4-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/16). + */ + + dataptr = data; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + /* Add fudge factor here for final descale. */ + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*3] + (ONE << (PASS1_BITS-1)); + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*2]; + + tmp10 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*3]; + tmp11 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*2]; + + dataptr[DCTSIZE*0] = (DCTELEM) RIGHT_SHIFT(tmp0 + tmp1, PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) RIGHT_SHIFT(tmp0 - tmp1, PASS1_BITS); + + /* Odd part */ + + tmp0 = MULTIPLY(tmp10 + tmp11, FIX_0_541196100); /* c6 */ + /* Add fudge factor here for final descale. */ + tmp0 += ONE << (CONST_BITS+PASS1_BITS-1); + + dataptr[DCTSIZE*1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + MULTIPLY(tmp10, FIX_0_765366865), /* c2-c6 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + RIGHT_SHIFT(tmp0 - MULTIPLY(tmp11, FIX_1_847759065), /* c2+c6 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 6x3 sample block. + * + * 6-point FDCT in pass 1 (rows), 3-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_6x3 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2; + INT32 tmp10, tmp11, tmp12; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We scale the results further by 2 as part of output adaption */ + /* scaling for different DCT size. */ + /* 6-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/12). */ + + dataptr = data; + for (ctr = 0; ctr < 3; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[5]); + tmp11 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[4]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[3]); + + tmp10 = tmp0 + tmp2; + tmp12 = tmp0 - tmp2; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[5]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[4]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[3]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 - 6 * CENTERJSAMPLE) << (PASS1_BITS+1)); + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp12, FIX(1.224744871)), /* c2 */ + CONST_BITS-PASS1_BITS-1); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp11, FIX(0.707106781)), /* c4 */ + CONST_BITS-PASS1_BITS-1); + + /* Odd part */ + + tmp10 = DESCALE(MULTIPLY(tmp0 + tmp2, FIX(0.366025404)), /* c5 */ + CONST_BITS-PASS1_BITS-1); + + dataptr[1] = (DCTELEM) (tmp10 + ((tmp0 + tmp1) << (PASS1_BITS+1))); + dataptr[3] = (DCTELEM) ((tmp0 - tmp1 - tmp2) << (PASS1_BITS+1)); + dataptr[5] = (DCTELEM) (tmp10 + ((tmp2 - tmp1) << (PASS1_BITS+1))); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/6)*(8/3) = 32/9, which we partially + * fold into the constant multipliers (other part was done in pass 1): + * 3-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/6) * 16/9. + */ + + dataptr = data; + for (ctr = 0; ctr < 6; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*2]; + tmp1 = dataptr[DCTSIZE*1]; + + tmp2 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*2]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 + tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp1, FIX(1.257078722)), /* c2 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(MULTIPLY(tmp2, FIX(2.177324216)), /* c1 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 4x2 sample block. + * + * 4-point FDCT in pass 1 (rows), 2-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_4x2 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1; + INT32 tmp10, tmp11; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We must also scale the output by (8/4)*(8/2) = 2**3, which we add here. */ + /* 4-point FDCT kernel, */ + /* cK represents sqrt(2) * cos(K*pi/16) [refers to 8-point FDCT]. */ + + dataptr = data; + for (ctr = 0; ctr < 2; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[3]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[2]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[3]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[2]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp0 + tmp1 - 4 * CENTERJSAMPLE) << (PASS1_BITS+3)); + dataptr[2] = (DCTELEM) ((tmp0 - tmp1) << (PASS1_BITS+3)); + + /* Odd part */ + + tmp0 = MULTIPLY(tmp10 + tmp11, FIX_0_541196100); /* c6 */ + /* Add fudge factor here for final descale. */ + tmp0 += ONE << (CONST_BITS-PASS1_BITS-4); + + dataptr[1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + MULTIPLY(tmp10, FIX_0_765366865), /* c2-c6 */ + CONST_BITS-PASS1_BITS-3); + dataptr[3] = (DCTELEM) + RIGHT_SHIFT(tmp0 - MULTIPLY(tmp11, FIX_1_847759065), /* c2+c6 */ + CONST_BITS-PASS1_BITS-3); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + */ + + dataptr = data; + for (ctr = 0; ctr < 4; ctr++) { + /* Even part */ + + /* Add fudge factor here for final descale. */ + tmp0 = dataptr[DCTSIZE*0] + (ONE << (PASS1_BITS-1)); + tmp1 = dataptr[DCTSIZE*1]; + + dataptr[DCTSIZE*0] = (DCTELEM) RIGHT_SHIFT(tmp0 + tmp1, PASS1_BITS); + + /* Odd part */ + + dataptr[DCTSIZE*1] = (DCTELEM) RIGHT_SHIFT(tmp0 - tmp1, PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 2x1 sample block. + * + * 2-point FDCT in pass 1 (rows), 1-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_2x1 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1; + JSAMPROW elemptr; + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + elemptr = sample_data[0] + start_col; + + tmp0 = GETJSAMPLE(elemptr[0]); + tmp1 = GETJSAMPLE(elemptr[1]); + + /* We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/2)*(8/1) = 2**5. + */ + + /* Even part */ + /* Apply unsigned->signed conversion */ + data[0] = (DCTELEM) ((tmp0 + tmp1 - 2 * CENTERJSAMPLE) << 5); + + /* Odd part */ + data[1] = (DCTELEM) ((tmp0 - tmp1) << 5); +} + + +/* + * Perform the forward DCT on an 8x16 sample block. + * + * 8-point FDCT in pass 1 (rows), 16-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_8x16 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16, tmp17; + INT32 z1; + DCTELEM workspace[DCTSIZE2]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part per LL&M figure 1 --- note that published figure is faulty; + * rotator "sqrt(2)*c1" should be "sqrt(2)*c6". + */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[7]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[6]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[5]); + tmp3 = GETJSAMPLE(elemptr[3]) + GETJSAMPLE(elemptr[4]); + tmp10 = tmp0 + tmp3; - tmp13 = tmp0 - tmp3; + tmp12 = tmp0 - tmp3; tmp11 = tmp1 + tmp2; - tmp12 = tmp1 - tmp2; - - dataptr[DCTSIZE*0] = (DCTELEM) DESCALE(tmp10 + tmp11, PASS1_BITS); - dataptr[DCTSIZE*4] = (DCTELEM) DESCALE(tmp10 - tmp11, PASS1_BITS); - + tmp13 = tmp1 - tmp2; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[7]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[6]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[5]); + tmp3 = GETJSAMPLE(elemptr[3]) - GETJSAMPLE(elemptr[4]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) ((tmp10 + tmp11 - 8 * CENTERJSAMPLE) << PASS1_BITS); + dataptr[4] = (DCTELEM) ((tmp10 - tmp11) << PASS1_BITS); + z1 = MULTIPLY(tmp12 + tmp13, FIX_0_541196100); - dataptr[DCTSIZE*2] = (DCTELEM) DESCALE(z1 + MULTIPLY(tmp13, FIX_0_765366865), - CONST_BITS+PASS1_BITS); - dataptr[DCTSIZE*6] = (DCTELEM) DESCALE(z1 + MULTIPLY(tmp12, - FIX_1_847759065), - CONST_BITS+PASS1_BITS); - + dataptr[2] = (DCTELEM) DESCALE(z1 + MULTIPLY(tmp12, FIX_0_765366865), + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) DESCALE(z1 - MULTIPLY(tmp13, FIX_1_847759065), + CONST_BITS-PASS1_BITS); + /* Odd part per figure 8 --- note paper omits factor of sqrt(2). - * cK represents cos(K*pi/16). - * i0..i3 in the paper are tmp4..tmp7 here. + * 8-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/16). + * i0..i3 in the paper are tmp0..tmp3 here. */ - - z1 = tmp4 + tmp7; - z2 = tmp5 + tmp6; - z3 = tmp4 + tmp6; - z4 = tmp5 + tmp7; - z5 = MULTIPLY(z3 + z4, FIX_1_175875602); /* sqrt(2) * c3 */ - - tmp4 = MULTIPLY(tmp4, FIX_0_298631336); /* sqrt(2) * (-c1+c3+c5-c7) */ - tmp5 = MULTIPLY(tmp5, FIX_2_053119869); /* sqrt(2) * ( c1+c3-c5+c7) */ - tmp6 = MULTIPLY(tmp6, FIX_3_072711026); /* sqrt(2) * ( c1+c3+c5-c7) */ - tmp7 = MULTIPLY(tmp7, FIX_1_501321110); /* sqrt(2) * ( c1+c3-c5-c7) */ - z1 = MULTIPLY(z1, - FIX_0_899976223); /* sqrt(2) * (c7-c3) */ - z2 = MULTIPLY(z2, - FIX_2_562915447); /* sqrt(2) * (-c1-c3) */ - z3 = MULTIPLY(z3, - FIX_1_961570560); /* sqrt(2) * (-c3-c5) */ - z4 = MULTIPLY(z4, - FIX_0_390180644); /* sqrt(2) * (c5-c3) */ - - z3 += z5; - z4 += z5; - - dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp4 + z1 + z3, - CONST_BITS+PASS1_BITS); - dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp5 + z2 + z4, - CONST_BITS+PASS1_BITS); - dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp6 + z2 + z3, - CONST_BITS+PASS1_BITS); - dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp7 + z1 + z4, - CONST_BITS+PASS1_BITS); - + + tmp10 = tmp0 + tmp3; + tmp11 = tmp1 + tmp2; + tmp12 = tmp0 + tmp2; + tmp13 = tmp1 + tmp3; + z1 = MULTIPLY(tmp12 + tmp13, FIX_1_175875602); /* c3 */ + + tmp0 = MULTIPLY(tmp0, FIX_1_501321110); /* c1+c3-c5-c7 */ + tmp1 = MULTIPLY(tmp1, FIX_3_072711026); /* c1+c3+c5-c7 */ + tmp2 = MULTIPLY(tmp2, FIX_2_053119869); /* c1+c3-c5+c7 */ + tmp3 = MULTIPLY(tmp3, FIX_0_298631336); /* -c1+c3+c5-c7 */ + tmp10 = MULTIPLY(tmp10, - FIX_0_899976223); /* c7-c3 */ + tmp11 = MULTIPLY(tmp11, - FIX_2_562915447); /* -c1-c3 */ + tmp12 = MULTIPLY(tmp12, - FIX_0_390180644); /* c5-c3 */ + tmp13 = MULTIPLY(tmp13, - FIX_1_961570560); /* -c3-c5 */ + + tmp12 += z1; + tmp13 += z1; + + dataptr[1] = (DCTELEM) DESCALE(tmp0 + tmp10 + tmp12, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp1 + tmp11 + tmp13, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp2 + tmp11 + tmp12, CONST_BITS-PASS1_BITS); + dataptr[7] = (DCTELEM) DESCALE(tmp3 + tmp10 + tmp13, CONST_BITS-PASS1_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == DCTSIZE * 2) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by 8/16 = 1/2. + * 16-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/32). + */ + + dataptr = data; + wsptr = workspace; + for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*4]; + tmp4 = dataptr[DCTSIZE*4] + wsptr[DCTSIZE*3]; + tmp5 = dataptr[DCTSIZE*5] + wsptr[DCTSIZE*2]; + tmp6 = dataptr[DCTSIZE*6] + wsptr[DCTSIZE*1]; + tmp7 = dataptr[DCTSIZE*7] + wsptr[DCTSIZE*0]; + + tmp10 = tmp0 + tmp7; + tmp14 = tmp0 - tmp7; + tmp11 = tmp1 + tmp6; + tmp15 = tmp1 - tmp6; + tmp12 = tmp2 + tmp5; + tmp16 = tmp2 - tmp5; + tmp13 = tmp3 + tmp4; + tmp17 = tmp3 - tmp4; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*4]; + tmp4 = dataptr[DCTSIZE*4] - wsptr[DCTSIZE*3]; + tmp5 = dataptr[DCTSIZE*5] - wsptr[DCTSIZE*2]; + tmp6 = dataptr[DCTSIZE*6] - wsptr[DCTSIZE*1]; + tmp7 = dataptr[DCTSIZE*7] - wsptr[DCTSIZE*0]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(tmp10 + tmp11 + tmp12 + tmp13, PASS1_BITS+1); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(1.306562965)) + /* c4[16] = c2[8] */ + MULTIPLY(tmp11 - tmp12, FIX_0_541196100), /* c12[16] = c6[8] */ + CONST_BITS+PASS1_BITS+1); + + tmp10 = MULTIPLY(tmp17 - tmp15, FIX(0.275899379)) + /* c14[16] = c7[8] */ + MULTIPLY(tmp14 - tmp16, FIX(1.387039845)); /* c2[16] = c1[8] */ + + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp15, FIX(1.451774982)) /* c6+c14 */ + + MULTIPLY(tmp16, FIX(2.172734804)), /* c2+c10 */ + CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(0.211164243)) /* c2-c6 */ + - MULTIPLY(tmp17, FIX(1.061594338)), /* c10+c14 */ + CONST_BITS+PASS1_BITS+1); + + /* Odd part */ + + tmp11 = MULTIPLY(tmp0 + tmp1, FIX(1.353318001)) + /* c3 */ + MULTIPLY(tmp6 - tmp7, FIX(0.410524528)); /* c13 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(1.247225013)) + /* c5 */ + MULTIPLY(tmp5 + tmp7, FIX(0.666655658)); /* c11 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(1.093201867)) + /* c7 */ + MULTIPLY(tmp4 - tmp7, FIX(0.897167586)); /* c9 */ + tmp14 = MULTIPLY(tmp1 + tmp2, FIX(0.138617169)) + /* c15 */ + MULTIPLY(tmp6 - tmp5, FIX(1.407403738)); /* c1 */ + tmp15 = MULTIPLY(tmp1 + tmp3, - FIX(0.666655658)) + /* -c11 */ + MULTIPLY(tmp4 + tmp6, - FIX(1.247225013)); /* -c5 */ + tmp16 = MULTIPLY(tmp2 + tmp3, - FIX(1.353318001)) + /* -c3 */ + MULTIPLY(tmp5 - tmp4, FIX(0.410524528)); /* c13 */ + tmp10 = tmp11 + tmp12 + tmp13 - + MULTIPLY(tmp0, FIX(2.286341144)) + /* c7+c5+c3-c1 */ + MULTIPLY(tmp7, FIX(0.779653625)); /* c15+c13-c11+c9 */ + tmp11 += tmp14 + tmp15 + MULTIPLY(tmp1, FIX(0.071888074)) /* c9-c3-c15+c11 */ + - MULTIPLY(tmp6, FIX(1.663905119)); /* c7+c13+c1-c5 */ + tmp12 += tmp14 + tmp16 - MULTIPLY(tmp2, FIX(1.125726048)) /* c7+c5+c15-c3 */ + + MULTIPLY(tmp5, FIX(1.227391138)); /* c9-c11+c1-c13 */ + tmp13 += tmp15 + tmp16 + MULTIPLY(tmp3, FIX(1.065388962)) /* c15+c3+c11-c7 */ + + MULTIPLY(tmp4, FIX(2.167985692)); /* c1+c13+c5-c9 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp10, CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp11, CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp12, CONST_BITS+PASS1_BITS+1); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp13, CONST_BITS+PASS1_BITS+1); + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ } } + +/* + * Perform the forward DCT on a 7x14 sample block. + * + * 7-point FDCT in pass 1 (rows), 14-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_7x14 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15, tmp16; + INT32 z1, z2, z3; + DCTELEM workspace[8*6]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 7-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/14). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[6]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[5]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[4]); + tmp3 = GETJSAMPLE(elemptr[3]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[6]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[5]); + tmp12 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[4]); + + z1 = tmp0 + tmp2; + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((z1 + tmp1 + tmp3 - 7 * CENTERJSAMPLE) << PASS1_BITS); + tmp3 += tmp3; + z1 -= tmp3; + z1 -= tmp3; + z1 = MULTIPLY(z1, FIX(0.353553391)); /* (c2+c6-c4)/2 */ + z2 = MULTIPLY(tmp0 - tmp2, FIX(0.920609002)); /* (c2+c4-c6)/2 */ + z3 = MULTIPLY(tmp1 - tmp2, FIX(0.314692123)); /* c6 */ + dataptr[2] = (DCTELEM) DESCALE(z1 + z2 + z3, CONST_BITS-PASS1_BITS); + z1 -= z2; + z2 = MULTIPLY(tmp0 - tmp1, FIX(0.881747734)); /* c4 */ + dataptr[4] = (DCTELEM) + DESCALE(z2 + z3 - MULTIPLY(tmp1 - tmp3, FIX(0.707106781)), /* c2+c6-c4 */ + CONST_BITS-PASS1_BITS); + dataptr[6] = (DCTELEM) DESCALE(z1 + z2, CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp1 = MULTIPLY(tmp10 + tmp11, FIX(0.935414347)); /* (c3+c1-c5)/2 */ + tmp2 = MULTIPLY(tmp10 - tmp11, FIX(0.170262339)); /* (c3+c5-c1)/2 */ + tmp0 = tmp1 - tmp2; + tmp1 += tmp2; + tmp2 = MULTIPLY(tmp11 + tmp12, - FIX(1.378756276)); /* -c1 */ + tmp1 += tmp2; + tmp3 = MULTIPLY(tmp10 + tmp12, FIX(0.613604268)); /* c5 */ + tmp0 += tmp3; + tmp2 += tmp3 + MULTIPLY(tmp12, FIX(1.870828693)); /* c3+c1-c5 */ + + dataptr[1] = (DCTELEM) DESCALE(tmp0, CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) DESCALE(tmp1, CONST_BITS-PASS1_BITS); + dataptr[5] = (DCTELEM) DESCALE(tmp2, CONST_BITS-PASS1_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 14) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/7)*(8/14) = 32/49, which we + * fold into the constant multipliers: + * 14-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/28) * 32/49. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = 0; ctr < 7; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*3]; + tmp13 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*2]; + tmp4 = dataptr[DCTSIZE*4] + wsptr[DCTSIZE*1]; + tmp5 = dataptr[DCTSIZE*5] + wsptr[DCTSIZE*0]; + tmp6 = dataptr[DCTSIZE*6] + dataptr[DCTSIZE*7]; + + tmp10 = tmp0 + tmp6; + tmp14 = tmp0 - tmp6; + tmp11 = tmp1 + tmp5; + tmp15 = tmp1 - tmp5; + tmp12 = tmp2 + tmp4; + tmp16 = tmp2 - tmp4; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*3]; + tmp3 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*2]; + tmp4 = dataptr[DCTSIZE*4] - wsptr[DCTSIZE*1]; + tmp5 = dataptr[DCTSIZE*5] - wsptr[DCTSIZE*0]; + tmp6 = dataptr[DCTSIZE*6] - dataptr[DCTSIZE*7]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11 + tmp12 + tmp13, + FIX(0.653061224)), /* 32/49 */ + CONST_BITS+PASS1_BITS); + tmp13 += tmp13; + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp13, FIX(0.832106052)) + /* c4 */ + MULTIPLY(tmp11 - tmp13, FIX(0.205513223)) - /* c12 */ + MULTIPLY(tmp12 - tmp13, FIX(0.575835255)), /* c8 */ + CONST_BITS+PASS1_BITS); + + tmp10 = MULTIPLY(tmp14 + tmp15, FIX(0.722074570)); /* c6 */ + + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp14, FIX(0.178337691)) /* c2-c6 */ + + MULTIPLY(tmp16, FIX(0.400721155)), /* c10 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp15, FIX(1.122795725)) /* c6+c10 */ + - MULTIPLY(tmp16, FIX(0.900412262)), /* c2 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = tmp1 + tmp2; + tmp11 = tmp5 - tmp4; + dataptr[DCTSIZE*7] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp10 + tmp3 - tmp11 - tmp6, + FIX(0.653061224)), /* 32/49 */ + CONST_BITS+PASS1_BITS); + tmp3 = MULTIPLY(tmp3 , FIX(0.653061224)); /* 32/49 */ + tmp10 = MULTIPLY(tmp10, - FIX(0.103406812)); /* -c13 */ + tmp11 = MULTIPLY(tmp11, FIX(0.917760839)); /* c1 */ + tmp10 += tmp11 - tmp3; + tmp11 = MULTIPLY(tmp0 + tmp2, FIX(0.782007410)) + /* c5 */ + MULTIPLY(tmp4 + tmp6, FIX(0.491367823)); /* c9 */ + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(tmp10 + tmp11 - MULTIPLY(tmp2, FIX(1.550341076)) /* c3+c5-c13 */ + + MULTIPLY(tmp4, FIX(0.731428202)), /* c1+c11-c9 */ + CONST_BITS+PASS1_BITS); + tmp12 = MULTIPLY(tmp0 + tmp1, FIX(0.871740478)) + /* c3 */ + MULTIPLY(tmp5 - tmp6, FIX(0.305035186)); /* c11 */ + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(tmp10 + tmp12 - MULTIPLY(tmp1, FIX(0.276965844)) /* c3-c9-c13 */ + - MULTIPLY(tmp5, FIX(2.004803435)), /* c1+c5+c11 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp11 + tmp12 + tmp3 + - MULTIPLY(tmp0, FIX(0.735987049)) /* c3+c5-c1 */ + - MULTIPLY(tmp6, FIX(0.082925825)), /* c9-c11-c13 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 6x12 sample block. + * + * 6-point FDCT in pass 1 (rows), 12-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_6x12 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14, tmp15; + DCTELEM workspace[8*4]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 6-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/12). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[5]); + tmp11 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[4]); + tmp2 = GETJSAMPLE(elemptr[2]) + GETJSAMPLE(elemptr[3]); + + tmp10 = tmp0 + tmp2; + tmp12 = tmp0 - tmp2; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[5]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[4]); + tmp2 = GETJSAMPLE(elemptr[2]) - GETJSAMPLE(elemptr[3]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp11 - 6 * CENTERJSAMPLE) << PASS1_BITS); + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp12, FIX(1.224744871)), /* c2 */ + CONST_BITS-PASS1_BITS); + dataptr[4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp11, FIX(0.707106781)), /* c4 */ + CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp10 = DESCALE(MULTIPLY(tmp0 + tmp2, FIX(0.366025404)), /* c5 */ + CONST_BITS-PASS1_BITS); + + dataptr[1] = (DCTELEM) (tmp10 + ((tmp0 + tmp1) << PASS1_BITS)); + dataptr[3] = (DCTELEM) ((tmp0 - tmp1 - tmp2) << PASS1_BITS); + dataptr[5] = (DCTELEM) (tmp10 + ((tmp2 - tmp1) << PASS1_BITS)); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 12) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/6)*(8/12) = 8/9, which we + * fold into the constant multipliers: + * 12-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/24) * 8/9. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = 0; ctr < 6; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*3]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*2]; + tmp2 = dataptr[DCTSIZE*2] + wsptr[DCTSIZE*1]; + tmp3 = dataptr[DCTSIZE*3] + wsptr[DCTSIZE*0]; + tmp4 = dataptr[DCTSIZE*4] + dataptr[DCTSIZE*7]; + tmp5 = dataptr[DCTSIZE*5] + dataptr[DCTSIZE*6]; + + tmp10 = tmp0 + tmp5; + tmp13 = tmp0 - tmp5; + tmp11 = tmp1 + tmp4; + tmp14 = tmp1 - tmp4; + tmp12 = tmp2 + tmp3; + tmp15 = tmp2 - tmp3; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*3]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*2]; + tmp2 = dataptr[DCTSIZE*2] - wsptr[DCTSIZE*1]; + tmp3 = dataptr[DCTSIZE*3] - wsptr[DCTSIZE*0]; + tmp4 = dataptr[DCTSIZE*4] - dataptr[DCTSIZE*7]; + tmp5 = dataptr[DCTSIZE*5] - dataptr[DCTSIZE*6]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11 + tmp12, FIX(0.888888889)), /* 8/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(MULTIPLY(tmp13 - tmp14 - tmp15, FIX(0.888888889)), /* 8/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.088662108)), /* c4 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp14 - tmp15, FIX(0.888888889)) + /* 8/9 */ + MULTIPLY(tmp13 + tmp15, FIX(1.214244803)), /* c2 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp1 + tmp4, FIX(0.481063200)); /* c9 */ + tmp14 = tmp10 + MULTIPLY(tmp1, FIX(0.680326102)); /* c3-c9 */ + tmp15 = tmp10 - MULTIPLY(tmp4, FIX(1.642452502)); /* c3+c9 */ + tmp12 = MULTIPLY(tmp0 + tmp2, FIX(0.997307603)); /* c5 */ + tmp13 = MULTIPLY(tmp0 + tmp3, FIX(0.765261039)); /* c7 */ + tmp10 = tmp12 + tmp13 + tmp14 - MULTIPLY(tmp0, FIX(0.516244403)) /* c5+c7-c1 */ + + MULTIPLY(tmp5, FIX(0.164081699)); /* c11 */ + tmp11 = MULTIPLY(tmp2 + tmp3, - FIX(0.164081699)); /* -c11 */ + tmp12 += tmp11 - tmp15 - MULTIPLY(tmp2, FIX(2.079550144)) /* c1+c5-c11 */ + + MULTIPLY(tmp5, FIX(0.765261039)); /* c7 */ + tmp13 += tmp11 - tmp14 + MULTIPLY(tmp3, FIX(0.645144899)) /* c1+c11-c7 */ + - MULTIPLY(tmp5, FIX(0.997307603)); /* c5 */ + tmp11 = tmp15 + MULTIPLY(tmp0 - tmp3, FIX(1.161389302)) /* c3 */ + - MULTIPLY(tmp2 + tmp5, FIX(0.481063200)); /* c9 */ + + dataptr[DCTSIZE*1] = (DCTELEM) DESCALE(tmp10, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp11, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*5] = (DCTELEM) DESCALE(tmp12, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp13, CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 5x10 sample block. + * + * 5-point FDCT in pass 1 (rows), 10-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_5x10 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3, tmp4; + INT32 tmp10, tmp11, tmp12, tmp13, tmp14; + DCTELEM workspace[8*2]; + DCTELEM *dataptr; + DCTELEM *wsptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* 5-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/10). */ + + dataptr = data; + ctr = 0; + for (;;) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[4]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[3]); + tmp2 = GETJSAMPLE(elemptr[2]); + + tmp10 = tmp0 + tmp1; + tmp11 = tmp0 - tmp1; + + tmp0 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[4]); + tmp1 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[3]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp10 + tmp2 - 5 * CENTERJSAMPLE) << PASS1_BITS); + tmp11 = MULTIPLY(tmp11, FIX(0.790569415)); /* (c2+c4)/2 */ + tmp10 -= tmp2 << 2; + tmp10 = MULTIPLY(tmp10, FIX(0.353553391)); /* (c2-c4)/2 */ + dataptr[2] = (DCTELEM) DESCALE(tmp11 + tmp10, CONST_BITS-PASS1_BITS); + dataptr[4] = (DCTELEM) DESCALE(tmp11 - tmp10, CONST_BITS-PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp1, FIX(0.831253876)); /* c3 */ + + dataptr[1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0, FIX(0.513743148)), /* c1-c3 */ + CONST_BITS-PASS1_BITS); + dataptr[3] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp1, FIX(2.176250899)), /* c1+c3 */ + CONST_BITS-PASS1_BITS); + + ctr++; + + if (ctr != DCTSIZE) { + if (ctr == 10) + break; /* Done. */ + dataptr += DCTSIZE; /* advance pointer to next row */ + } else + dataptr = workspace; /* switch pointer to extended workspace */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/5)*(8/10) = 32/25, which we + * fold into the constant multipliers: + * 10-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/20) * 32/25. + */ + + dataptr = data; + wsptr = workspace; + for (ctr = 0; ctr < 5; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + wsptr[DCTSIZE*1]; + tmp1 = dataptr[DCTSIZE*1] + wsptr[DCTSIZE*0]; + tmp12 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*7]; + tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*6]; + tmp4 = dataptr[DCTSIZE*4] + dataptr[DCTSIZE*5]; + + tmp10 = tmp0 + tmp4; + tmp13 = tmp0 - tmp4; + tmp11 = tmp1 + tmp3; + tmp14 = tmp1 - tmp3; + + tmp0 = dataptr[DCTSIZE*0] - wsptr[DCTSIZE*1]; + tmp1 = dataptr[DCTSIZE*1] - wsptr[DCTSIZE*0]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*7]; + tmp3 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*6]; + tmp4 = dataptr[DCTSIZE*4] - dataptr[DCTSIZE*5]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11 + tmp12, FIX(1.28)), /* 32/25 */ + CONST_BITS+PASS1_BITS); + tmp12 += tmp12; + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp12, FIX(1.464477191)) - /* c4 */ + MULTIPLY(tmp11 - tmp12, FIX(0.559380511)), /* c8 */ + CONST_BITS+PASS1_BITS); + tmp10 = MULTIPLY(tmp13 + tmp14, FIX(1.064004961)); /* c6 */ + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp13, FIX(0.657591230)), /* c2-c6 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*6] = (DCTELEM) + DESCALE(tmp10 - MULTIPLY(tmp14, FIX(2.785601151)), /* c2+c6 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = tmp0 + tmp4; + tmp11 = tmp1 - tmp3; + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp2, FIX(1.28)), /* 32/25 */ + CONST_BITS+PASS1_BITS); + tmp2 = MULTIPLY(tmp2, FIX(1.28)); /* 32/25 */ + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(MULTIPLY(tmp0, FIX(1.787906876)) + /* c1 */ + MULTIPLY(tmp1, FIX(1.612894094)) + tmp2 + /* c3 */ + MULTIPLY(tmp3, FIX(0.821810588)) + /* c7 */ + MULTIPLY(tmp4, FIX(0.283176630)), /* c9 */ + CONST_BITS+PASS1_BITS); + tmp12 = MULTIPLY(tmp0 - tmp4, FIX(1.217352341)) - /* (c3+c7)/2 */ + MULTIPLY(tmp1 + tmp3, FIX(0.752365123)); /* (c1-c9)/2 */ + tmp13 = MULTIPLY(tmp10 + tmp11, FIX(0.395541753)) + /* (c3-c7)/2 */ + MULTIPLY(tmp11, FIX(0.64)) - tmp2; /* 16/25 */ + dataptr[DCTSIZE*3] = (DCTELEM) DESCALE(tmp12 + tmp13, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*7] = (DCTELEM) DESCALE(tmp12 - tmp13, CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + wsptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 4x8 sample block. + * + * 4-point FDCT in pass 1 (rows), 8-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_4x8 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2, tmp3; + INT32 tmp10, tmp11, tmp12, tmp13; + INT32 z1; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We must also scale the output by 8/4 = 2, which we add here. */ + /* 4-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/16). */ + + dataptr = data; + for (ctr = 0; ctr < DCTSIZE; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[3]); + tmp1 = GETJSAMPLE(elemptr[1]) + GETJSAMPLE(elemptr[2]); + + tmp10 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[3]); + tmp11 = GETJSAMPLE(elemptr[1]) - GETJSAMPLE(elemptr[2]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp0 + tmp1 - 4 * CENTERJSAMPLE) << (PASS1_BITS+1)); + dataptr[2] = (DCTELEM) ((tmp0 - tmp1) << (PASS1_BITS+1)); + + /* Odd part */ + + tmp0 = MULTIPLY(tmp10 + tmp11, FIX_0_541196100); /* c6 */ + /* Add fudge factor here for final descale. */ + tmp0 += ONE << (CONST_BITS-PASS1_BITS-2); + + dataptr[1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + MULTIPLY(tmp10, FIX_0_765366865), /* c2-c6 */ + CONST_BITS-PASS1_BITS-1); + dataptr[3] = (DCTELEM) + RIGHT_SHIFT(tmp0 - MULTIPLY(tmp11, FIX_1_847759065), /* c2+c6 */ + CONST_BITS-PASS1_BITS-1); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + */ + + dataptr = data; + for (ctr = 0; ctr < 4; ctr++) { + /* Even part per LL&M figure 1 --- note that published figure is faulty; + * rotator "sqrt(2)*c1" should be "sqrt(2)*c6". + */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*4]; + + /* Add fudge factor here for final descale. */ + tmp10 = tmp0 + tmp3 + (ONE << (PASS1_BITS-1)); + tmp12 = tmp0 - tmp3; + tmp11 = tmp1 + tmp2; + tmp13 = tmp1 - tmp2; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5]; + tmp3 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4]; + + dataptr[DCTSIZE*0] = (DCTELEM) RIGHT_SHIFT(tmp10 + tmp11, PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) RIGHT_SHIFT(tmp10 - tmp11, PASS1_BITS); + + z1 = MULTIPLY(tmp12 + tmp13, FIX_0_541196100); + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS+PASS1_BITS-1); + dataptr[DCTSIZE*2] = (DCTELEM) + RIGHT_SHIFT(z1 + MULTIPLY(tmp12, FIX_0_765366865), CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*6] = (DCTELEM) + RIGHT_SHIFT(z1 - MULTIPLY(tmp13, FIX_1_847759065), CONST_BITS+PASS1_BITS); + + /* Odd part per figure 8 --- note paper omits factor of sqrt(2). + * 8-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/16). + * i0..i3 in the paper are tmp0..tmp3 here. + */ + + tmp10 = tmp0 + tmp3; + tmp11 = tmp1 + tmp2; + tmp12 = tmp0 + tmp2; + tmp13 = tmp1 + tmp3; + z1 = MULTIPLY(tmp12 + tmp13, FIX_1_175875602); /* c3 */ + /* Add fudge factor here for final descale. */ + z1 += ONE << (CONST_BITS+PASS1_BITS-1); + + tmp0 = MULTIPLY(tmp0, FIX_1_501321110); /* c1+c3-c5-c7 */ + tmp1 = MULTIPLY(tmp1, FIX_3_072711026); /* c1+c3+c5-c7 */ + tmp2 = MULTIPLY(tmp2, FIX_2_053119869); /* c1+c3-c5+c7 */ + tmp3 = MULTIPLY(tmp3, FIX_0_298631336); /* -c1+c3+c5-c7 */ + tmp10 = MULTIPLY(tmp10, - FIX_0_899976223); /* c7-c3 */ + tmp11 = MULTIPLY(tmp11, - FIX_2_562915447); /* -c1-c3 */ + tmp12 = MULTIPLY(tmp12, - FIX_0_390180644); /* c5-c3 */ + tmp13 = MULTIPLY(tmp13, - FIX_1_961570560); /* -c3-c5 */ + + tmp12 += z1; + tmp13 += z1; + + dataptr[DCTSIZE*1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + tmp10 + tmp12, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + RIGHT_SHIFT(tmp1 + tmp11 + tmp13, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*5] = (DCTELEM) + RIGHT_SHIFT(tmp2 + tmp11 + tmp12, CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*7] = (DCTELEM) + RIGHT_SHIFT(tmp3 + tmp10 + tmp13, CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 3x6 sample block. + * + * 3-point FDCT in pass 1 (rows), 6-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_3x6 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1, tmp2; + INT32 tmp10, tmp11, tmp12; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT; */ + /* furthermore, we scale the results by 2**PASS1_BITS. */ + /* We scale the results further by 2 as part of output adaption */ + /* scaling for different DCT size. */ + /* 3-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/6). */ + + dataptr = data; + for (ctr = 0; ctr < 6; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]) + GETJSAMPLE(elemptr[2]); + tmp1 = GETJSAMPLE(elemptr[1]); + + tmp2 = GETJSAMPLE(elemptr[0]) - GETJSAMPLE(elemptr[2]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) + ((tmp0 + tmp1 - 3 * CENTERJSAMPLE) << (PASS1_BITS+1)); + dataptr[2] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp1, FIX(0.707106781)), /* c2 */ + CONST_BITS-PASS1_BITS-1); + + /* Odd part */ + + dataptr[1] = (DCTELEM) + DESCALE(MULTIPLY(tmp2, FIX(1.224744871)), /* c1 */ + CONST_BITS-PASS1_BITS-1); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We remove the PASS1_BITS scaling, but leave the results scaled up + * by an overall factor of 8. + * We must also scale the output by (8/6)*(8/3) = 32/9, which we partially + * fold into the constant multipliers (other part was done in pass 1): + * 6-point FDCT kernel, cK represents sqrt(2) * cos(K*pi/12) * 16/9. + */ + + dataptr = data; + for (ctr = 0; ctr < 3; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*5]; + tmp11 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*3]; + + tmp10 = tmp0 + tmp2; + tmp12 = tmp0 - tmp2; + + tmp0 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*5]; + tmp1 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*4]; + tmp2 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*3]; + + dataptr[DCTSIZE*0] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 + tmp11, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*2] = (DCTELEM) + DESCALE(MULTIPLY(tmp12, FIX(2.177324216)), /* c2 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*4] = (DCTELEM) + DESCALE(MULTIPLY(tmp10 - tmp11 - tmp11, FIX(1.257078722)), /* c4 */ + CONST_BITS+PASS1_BITS); + + /* Odd part */ + + tmp10 = MULTIPLY(tmp0 + tmp2, FIX(0.650711829)); /* c5 */ + + dataptr[DCTSIZE*1] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp0 + tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + DESCALE(MULTIPLY(tmp0 - tmp1 - tmp2, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + dataptr[DCTSIZE*5] = (DCTELEM) + DESCALE(tmp10 + MULTIPLY(tmp2 - tmp1, FIX(1.777777778)), /* 16/9 */ + CONST_BITS+PASS1_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 2x4 sample block. + * + * 2-point FDCT in pass 1 (rows), 4-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_2x4 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1; + INT32 tmp10, tmp11; + DCTELEM *dataptr; + JSAMPROW elemptr; + int ctr; + SHIFT_TEMPS + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + /* Pass 1: process rows. */ + /* Note results are scaled up by sqrt(8) compared to a true DCT. */ + /* We must also scale the output by (8/2)*(8/4) = 2**3, which we add here. */ + + dataptr = data; + for (ctr = 0; ctr < 4; ctr++) { + elemptr = sample_data[ctr] + start_col; + + /* Even part */ + + tmp0 = GETJSAMPLE(elemptr[0]); + tmp1 = GETJSAMPLE(elemptr[1]); + + /* Apply unsigned->signed conversion */ + dataptr[0] = (DCTELEM) ((tmp0 + tmp1 - 2 * CENTERJSAMPLE) << 3); + + /* Odd part */ + + dataptr[1] = (DCTELEM) ((tmp0 - tmp1) << 3); + + dataptr += DCTSIZE; /* advance pointer to next row */ + } + + /* Pass 2: process columns. + * We leave the results scaled up by an overall factor of 8. + * 4-point FDCT kernel, + * cK represents sqrt(2) * cos(K*pi/16) [refers to 8-point FDCT]. + */ + + dataptr = data; + for (ctr = 0; ctr < 2; ctr++) { + /* Even part */ + + tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*3]; + tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*2]; + + tmp10 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*3]; + tmp11 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*2]; + + dataptr[DCTSIZE*0] = (DCTELEM) (tmp0 + tmp1); + dataptr[DCTSIZE*2] = (DCTELEM) (tmp0 - tmp1); + + /* Odd part */ + + tmp0 = MULTIPLY(tmp10 + tmp11, FIX_0_541196100); /* c6 */ + /* Add fudge factor here for final descale. */ + tmp0 += ONE << (CONST_BITS-1); + + dataptr[DCTSIZE*1] = (DCTELEM) + RIGHT_SHIFT(tmp0 + MULTIPLY(tmp10, FIX_0_765366865), /* c2-c6 */ + CONST_BITS); + dataptr[DCTSIZE*3] = (DCTELEM) + RIGHT_SHIFT(tmp0 - MULTIPLY(tmp11, FIX_1_847759065), /* c2+c6 */ + CONST_BITS); + + dataptr++; /* advance pointer to next column */ + } +} + + +/* + * Perform the forward DCT on a 1x2 sample block. + * + * 1-point FDCT in pass 1 (rows), 2-point in pass 2 (columns). + */ + +GLOBAL(void) +jpeg_fdct_1x2 (DCTELEM * data, JSAMPARRAY sample_data, JDIMENSION start_col) +{ + INT32 tmp0, tmp1; + + /* Pre-zero output coefficient block. */ + MEMZERO(data, SIZEOF(DCTELEM) * DCTSIZE2); + + tmp0 = GETJSAMPLE(sample_data[0][start_col]); + tmp1 = GETJSAMPLE(sample_data[1][start_col]); + + /* We leave the results scaled up by an overall factor of 8. + * We must also scale the output by (8/1)*(8/2) = 2**5. + */ + + /* Even part */ + /* Apply unsigned->signed conversion */ + data[DCTSIZE*0] = (DCTELEM) ((tmp0 + tmp1 - 2 * CENTERJSAMPLE) << 5); + + /* Odd part */ + data[DCTSIZE*1] = (DCTELEM) ((tmp0 - tmp1) << 5); +} + +#endif /* DCT_SCALING_SUPPORTED */ #endif /* DCT_ISLOW_SUPPORTED */ |