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/* ======================================================================== */
/* TEXAS INSTRUMENTS, INC. */
/* */
/* IMGLIB DSP Image/Video Processing Library */
/* */
/* Release: Revision 1.04b */
/* CVS Revision: 1.11 Sun Sep 29 03:32:23 2002 (UTC) */
/* Snapshot date: 23-Oct-2003 */
/* */
/* This library contains proprietary intellectual property of Texas */
/* Instruments, Inc. The library and its source code are protected by */
/* various copyrights, and portions may also be protected by patents or */
/* other legal protections. */
/* */
/* This software is licensed for use with Texas Instruments TMS320 */
/* family DSPs. This license was provided to you prior to installing */
/* the software. You may review this license by consulting the file */
/* TI_license.PDF which accompanies the files in this library. */
/* ------------------------------------------------------------------------ */
/* Copyright (C) 2003 Texas Instruments, Incorporated. */
/* All Rights Reserved. */
/* ======================================================================== */
/* ======================================================================== */
/* Assembler compatibility shim for assembling 4.30 and later code on */
/* tools prior to 4.30. */
/* ======================================================================== */
/* ======================================================================== */
/* End of assembler compatibility shim. */
/* ======================================================================== */
/* ======================================================================== */
/* NAME */
/* IMG_idct_8x8_12q4 -- IEEE-1180/1990 Compliant IDCT, Little Endian. */
/* */
/* REVISION DATE */
/* 14-Nov-2000 */
/* */
/* USAGE */
/* This routine is C callable, and has the following C prototype: */
/* */
/* void IMG_idct_8x8_12q4(short idct_data[], unsigned num_idcts) */
/* */
/* The IMG_idct_8x8_12q4 routine accepts a list of 8x8 DCT coeffient blocks */
/* and performs IDCTs on each. The array should be aligned to a */
/* 64-bit boundary, and be laid out equivalently to the C array */
/* idct_data[num_idcts][8][8]. The input data should be in 12Q4 */
/* format. */
/* */
/* The routine operates entirely in-place, requiring no additional */
/* storage for intermediate results. */
/* */
/* This code requires '62 + 92 * num_idcts' cycles to process */
/* 'num_idcts' blocks, including 6 cycles of function call overhead. */
/* */
/* DESCRIPTION */
/* The IMG_idct_8x8_12q4 algorithm performs an IEEE-1180 compliant IDCT, */
/* complete with rounding and saturation to signed 9-bit quantities. */
/* The input coefficients are assumed to be signed 16-bit DCT */
/* coefficients in 12Q4 format. */
/* */
/* void IMG_idct_8x8_12q4(short idct_data[], unsigned num_idcts) */
/* { */
/* // -------------------------------------------------------- // */
/* // Cosine Constants (Q16, scaled down by sqrt(2)). // */
/* // -------------------------------------------------------- // */
/* const unsigned short C0 = 0xB505; */
/* const unsigned short C1 = 0xB18B, C2 = 0xA73D; */
/* const unsigned short C3 = 0x9683, C5 = 0x6492; */
/* const unsigned short C6 = 0x4546, C7 = 0x2351; */
/* */
/* // -------------------------------------------------------- // */
/* // Intermediate values (used in both loops). // */
/* // -------------------------------------------------------- // */
/* short F0, F1, F2, F3, F4, F5, F6, F7; // stage 0 // */
/* short P0, P1, R0, R1, Q0, Q1, S0, S1; // stage 1 // */
/* short p0, p1, r0, r1, q0, q1, s0, s1; // stage 2 // */
/* short g0, g1, g2, g3, h0, h1, h2, h3; // stage 3 // */
/* short f0, f1, f2, f3, f4, f5, f6, f7; // stage 4 // */
/* short f0r,f1r,f2r,f3r,f4r,f5r,f6r,f7r; // rounded // */
/* int f0s,f1s,f2s,f3s,f4s,f5s,f6s,f7s; // saturated // */
/* int f0t,f1t,f2t,f3t,f4t,f5t,f6t,f7t; // truncated // */
/* int i, j; // loop counts // */
/* short (*idct)[8][8] = (short (*)[8][8])idct_data; */
/* */
/* // -------------------------------------------------------- // */
/* // Vertical Pass // */
/* // // */
/* // This pass performs a single 8-pt IDCT per iteration. // */
/* // Inputs are in 12Q4 format, and results of this pass // */
/* // are in 11Q5 format. (Actually, the results are halfway // */
/* // between 11Q5 and 12Q4 due to the scaling by sqrt(2).) // */
/* // // */
/* // The outer loop steps between IDCT blocks, whereas the // */
/* // inner loop focuses on columns within each IDCT block. // */
/* // -------------------------------------------------------- // */
/* for (i = 0; i < num_idcts; i++) */
/* { */
/* for (j = 0; j < 8; j++) */
/* { */
/* // ------------------------------------------------ // */
/* // Stage 0: Load in freq-domain coefficients. // */
/* // ------------------------------------------------ // */
/* F0 = idct[i][0][j]; */
/* F1 = idct[i][1][j]; */
/* F2 = idct[i][2][j]; */
/* F3 = idct[i][3][j]; */
/* F4 = idct[i][4][j]; */
/* F5 = idct[i][5][j]; */
/* F6 = idct[i][6][j]; */
/* F7 = idct[i][7][j]; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 1 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* P0 = F0; P1 = F4; */
/* R1 = F2; R0 = F6; */
/* */
/* Q1 = (F1*C7 - F7*C1 + 0x8000) >> 16; */
/* Q0 = (F5*C3 - F3*C5 + 0x8000) >> 16; */
/* S0 = (F5*C5 + F3*C3 + 0x8000) >> 16; */
/* S1 = (F1*C1 + F7*C7 + 0x8000) >> 16; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 2 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* p0 = ((int)P0 + (int)P1 + 1 ) >> 1; */
/* p1 = ((int)P0 - (int)P1 ) >> 1; */
/* r1 = (R1*C6 - R0*C2 + 0x8000) >> 16; */
/* r0 = (R1*C2 + R0*C6 + 0x8000) >> 16; */
/* */
/* s1 = (S1 + S0); q1 = (Q1 + Q0); */
/* s0 = (S1 - S0); q0 = (Q1 - Q0); */
/* */
/* // ------------------------------------------------ // */
/* // Stage 3 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* g0 = (p0 + r0); g1 = (p1 + r1); */
/* h0 = (p0 - r0); h1 = (p1 - r1); */
/* */
/* h2 = s1; g2 = q1; */
/* g3 = (s0*C0 - q0*C0 + 0x8000) >> 16; */
/* h3 = (s0*C0 + q0*C0 + 0x8000) >> 16; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 4 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* f0 = (g0 + h2); f7 = (g0 - h2); */
/* f1 = (g1 + h3); f6 = (g1 - h3); */
/* f2 = (h1 + g3); f5 = (h1 - g3); */
/* f3 = (h0 + g2); f4 = (h0 - g2); */
/* */
/* // ------------------------------------------------ // */
/* // Stage 5: Write sample-domain results. // */
/* // ------------------------------------------------ // */
/* idct[i][0][j] = f0; */
/* idct[i][1][j] = f1; */
/* idct[i][2][j] = f2; */
/* idct[i][3][j] = f3; */
/* idct[i][4][j] = f4; */
/* idct[i][5][j] = f5; */
/* idct[i][6][j] = f6; */
/* idct[i][7][j] = f7; */
/* } */
/* } */
/* */
/* // -------------------------------------------------------- // */
/* // Horizontal Pass // */
/* // // */
/* // This performs one IDCT per iteration on the 11Q5 // */
/* // results from the previous pass. Both horizontal and // */
/* // vertical passes are scaled down by sqrt(2) -- the net // */
/* // effect of which is that the IDCT results generated by // */
/* // this pass (prior to saturation) are also 11Q5 results, // */
/* // only with no sqrt(2) factors remaining. // */
/* // // */
/* // The IDCT butterflies in this pass are identical to the // */
/* // ones in the vertical pass, except for an additional // */
/* // rounding value which is added into the DC term early // */
/* // in the flow graph. // */
/* // // */
/* // The 11Q5 sample-domain terms are saturated to 9Q7 // */
/* // values, and then truncated to 9Q0 results before // */
/* // storing. // */
/* // // */
/* // The outer loop steps between IDCT blocks, whereas the // */
/* // inner loop focuses on rows within each IDCT block. // */
/* // -------------------------------------------------------- // */
/* for (i = num_idcts - 1; i >= 0; i--) */
/* { */
/* for (j = 0; j < 8; j++) */
/* { */
/* // ------------------------------------------------ // */
/* // Stage 0: Load in freq.-domain coefficients. // */
/* // ------------------------------------------------ // */
/* F0 = idct[i][j][0]; */
/* F1 = idct[i][j][1]; */
/* F2 = idct[i][j][2]; */
/* F3 = idct[i][j][3]; */
/* F4 = idct[i][j][4]; */
/* F5 = idct[i][j][5]; */
/* F6 = idct[i][j][6]; */
/* F7 = idct[i][j][7]; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 1 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* P0 = F0; P1 = F4; */
/* R1 = F2; R0 = F6; */
/* */
/* Q1 = (F1*C7 - F7*C1 + 0x8000) >> 16; */
/* Q0 = (F5*C3 - F3*C5 + 0x8000) >> 16; */
/* S0 = (F5*C5 + F3*C3 + 0x8000) >> 16; */
/* S1 = (F1*C1 + F7*C7 + 0x8000) >> 16; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 2 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* p0 = (((int)P0 + (int)P1 + 1) >> 1) + 15; */
/* p1 = (((int)P0 - (int)P1 ) >> 1) + 16; */
/* r1 = (R1*C6 - R0*C2 + 0x8000) >> 16; */
/* r0 = (R1*C2 + R0*C6 + 0x8000) >> 16; */
/* */
/* s1 = (S1 + S0); q1 = (Q1 + Q0); */
/* s0 = (S1 - S0); q0 = (Q1 - Q0); */
/* */
/* // ------------------------------------------------ // */
/* // Stage 3 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* g0 = (p0 + r0); g1 = (p1 + r1); */
/* h0 = (p0 - r0); h1 = (p1 - r1); */
/* */
/* h2 = s1; g2 = q1; */
/* g3 = (s0*C0 - q0*C0 + 0x8000) >> 16; */
/* h3 = (s0*C0 + q0*C0 + 0x8000) >> 16; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 4 of signal flow graph. // */
/* // ------------------------------------------------ // */
/* f0 = (g0 + h2); f7 = (g0 - h2); */
/* f1 = (g1 + h3); f6 = (g1 - h3); */
/* f2 = (h1 + g3); f5 = (h1 - g3); */
/* f3 = (h0 + g2); f4 = (h0 - g2); */
/* */
/* // ------------------------------------------------ // */
/* // Stage 4.1: Q-pt adjust: Bit 15 is don't-care. // */
/* // ------------------------------------------------ // */
/* f0r = f0 + f0; f7r = f7 + f7; */
/* f1r = f1 + f1; f6r = f6 + f6; */
/* f2r = f2 + f2; f5r = f5 + f5; */
/* f3r = f3 + f3; f4r = f4 + f4; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 4.2: Saturate results to 9Q6. // */
/* // ------------------------------------------------ // */
/* f0s = f0r>0x3FFF?0x3FFF: f0r<-0x4000?-0x4000 : f0r; */
/* f1s = f1r>0x3FFF?0x3FFF: f1r<-0x4000?-0x4000 : f1r; */
/* f2s = f2r>0x3FFF?0x3FFF: f2r<-0x4000?-0x4000 : f2r; */
/* f3s = f3r>0x3FFF?0x3FFF: f3r<-0x4000?-0x4000 : f3r; */
/* f4s = f4r>0x3FFF?0x3FFF: f4r<-0x4000?-0x4000 : f4r; */
/* f5s = f5r>0x3FFF?0x3FFF: f5r<-0x4000?-0x4000 : f5r; */
/* f6s = f6r>0x3FFF?0x3FFF: f6r<-0x4000?-0x4000 : f6r; */
/* f7s = f7r>0x3FFF?0x3FFF: f7r<-0x4000?-0x4000 : f7r; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 4.3: Truncate results to 9Q0. // */
/* // ------------------------------------------------ // */
/* f0t = f0s >> 6; f7t = f7s >> 6; */
/* f1t = f1s >> 6; f6t = f6s >> 6; */
/* f2t = f2s >> 6; f5t = f5s >> 6; */
/* f3t = f3s >> 6; f4t = f4s >> 6; */
/* */
/* // ------------------------------------------------ // */
/* // Stage 5: Store sample-domain results. // */
/* // ------------------------------------------------ // */
/* idct[i][j][0] = f0t; */
/* idct[i][j][1] = f1t; */
/* idct[i][j][2] = f2t; */
/* idct[i][j][3] = f3t; */
/* idct[i][j][4] = f4t; */
/* idct[i][j][5] = f5t; */
/* idct[i][j][6] = f6t; */
/* idct[i][j][7] = f7t; */
/* } */
/* } */
/* */
/* return; */
/* } */
/* */
/* Note: This code guarantees correct operation, even in the case */
/* that 'num_idcts == 0'. In that case, the function runs for only */
/* 13 cycles (counting 6 cycles of function-call overhead), due to */
/* early-exit code. Also, the assembly code imposes additional data */
/* alignment restrictions that are not present in the C code above. */
/* */
/* TECHNIQUES */
/* All levels of looping are collapsed into single loops which are */
/* pipelined. The outer loop focuses on 8-pt IDCTs, whereas the */
/* inner loop controls the column-pointer to handle jumps between */
/* IDCT blocks. (The column-pointer adjustment is handled by a */
/* four-phase rotating "fixup" constant which takes the place of */
/* the original inner-loop.) */
/* */
/* For performance, portions of the outer-loop code have been */
/* inter-scheduled with the prologs and epilogs of both loops. */
/* Finally, cosine term registers are reused between the horizontal */
/* and vertical loops to save the need for reinitialization. */
/* */
/* To save codesize, prolog and epilog collapsing have been performed */
/* to the extent that performance is not affected. The remaining */
/* prolog and epilog code has been interscheduled with code outside */
/* the loops to improve performance. */
/* */
/* Additional section-specific optimization notes are provided below. */
/* */
/* ASSUMPTIONS */
/* This is a LITTLE ENDIAN implementation. */
/* */
/* The input array must be aligned on a double-word boundary. */
/* */
/* MEMORY NOTE */
/* No bank conflicts occur. */
/* The input array must be aligned on a double-word boundary. */
/* */
/* Bank usage for N 32-bit banks: */
/* */
/* Vert loop accesses: 2 of N banks for 54% of cycles */
/* 1 of N banks for 36% of cycles */
/* 0 of N banks for 9% of cycles */
/* */
/* Horiz loop accesses: 4 of N banks for 16% of cycles */
/* 2 of N banks for 33% of cycles */
/* 0 of N banks for 50% of cycles */
/* */
/* The code may perform speculative reads of up to 128 bytes */
/* beyond the end or before the start of the IDCT array. The */
/* speculatively accessed data is ignored. */
/* */
/* NOTES */
/* This is fully interruptable and fully reentrant. */
/* */
/* The cosine terms have all been scaled by sqrt(2), so that the */
/* "c4" term is basically an even power of 2. */
/* */
/* CYCLES */
/* cycles = 62 + 92 * num_idcts, for num_idcts > 0 */
/* cycles = 13, for num_idcts == 0. */
/* */
/* For num_idcts = 6, cycles = 614. */
/* For num_idcts = 24, cycles = 2270. */
/* */
/* CODESIZE */
/* 968 bytes */
/* ------------------------------------------------------------------------ */
/* Copyright (c) 2003 Texas Instruments, Incorporated. */
/* All Rights Reserved. */
/* ======================================================================== */
#ifndef IMG_IDCT_8X8_12Q4_H_
#define IMG_IDCT_8X8_12Q4_H_ 1
void IMG_idct_8x8_12q4(short idct_data[], unsigned num_idcts);
#endif
/* ======================================================================== */
/* End of file: img_idct_8x8_12q4.h */
/* ------------------------------------------------------------------------ */
/* Copyright (c) 2003 Texas Instruments, Incorporated. */
/* All Rights Reserved. */
/* ======================================================================== */