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/*
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 * jdct.h
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 *
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 * This file was part of the Independent JPEG Group's software:
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 * Copyright (C) 1994-1996, Thomas G. Lane.
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 * libjpeg-turbo Modifications:
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 * Copyright (C) 2015, D. R. Commander.
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 * For conditions of distribution and use, see the accompanying README.ijg
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 * file.
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 *
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 * This include file contains common declarations for the forward and
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 * inverse DCT modules.  These declarations are private to the DCT managers
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 * (jcdctmgr.c, jddctmgr.c) and the individual DCT algorithms.
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 * The individual DCT algorithms are kept in separate files to ease
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 * machine-dependent tuning (e.g., assembly coding).
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 */
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/*
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 * A forward DCT routine is given a pointer to a work area of type DCTELEM[];
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 * the DCT is to be performed in-place in that buffer.  Type DCTELEM is int
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 * for 8-bit samples, JLONG for 12-bit samples.  (NOTE: Floating-point DCT
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 * implementations use an array of type FAST_FLOAT, instead.)
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 * The DCT inputs are expected to be signed (range +-CENTERJSAMPLE).
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 * The DCT outputs are returned scaled up by a factor of 8; they therefore
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 * have a range of +-8K for 8-bit data, +-128K for 12-bit data.  This
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 * convention improves accuracy in integer implementations and saves some
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 * work in floating-point ones.
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 * Quantization of the output coefficients is done by jcdctmgr.c. This
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 * step requires an unsigned type and also one with twice the bits.
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 */
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#if BITS_IN_JSAMPLE == 8
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#ifndef WITH_SIMD
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typedef int DCTELEM;            /* 16 or 32 bits is fine */
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typedef unsigned int UDCTELEM;
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typedef unsigned long long UDCTELEM2;
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#else
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typedef short DCTELEM;          /* prefer 16 bit with SIMD for parellelism */
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typedef unsigned short UDCTELEM;
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typedef unsigned int UDCTELEM2;
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#endif
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#else
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typedef JLONG DCTELEM;          /* must have 32 bits */
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typedef unsigned long long UDCTELEM2;
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#endif
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/*
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 * An inverse DCT routine is given a pointer to the input JBLOCK and a pointer
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 * to an output sample array.  The routine must dequantize the input data as
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 * well as perform the IDCT; for dequantization, it uses the multiplier table
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 * pointed to by compptr->dct_table.  The output data is to be placed into the
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 * sample array starting at a specified column.  (Any row offset needed will
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 * be applied to the array pointer before it is passed to the IDCT code.)
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 * Note that the number of samples emitted by the IDCT routine is
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 * DCT_scaled_size * DCT_scaled_size.
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 */
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/* typedef inverse_DCT_method_ptr is declared in jpegint.h */
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/*
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 * Each IDCT routine has its own ideas about the best dct_table element type.
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 */
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typedef MULTIPLIER ISLOW_MULT_TYPE;  /* short or int, whichever is faster */
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#if BITS_IN_JSAMPLE == 8
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typedef MULTIPLIER IFAST_MULT_TYPE;  /* 16 bits is OK, use short if faster */
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#define IFAST_SCALE_BITS  2          /* fractional bits in scale factors */
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#else
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typedef JLONG IFAST_MULT_TYPE;       /* need 32 bits for scaled quantizers */
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#define IFAST_SCALE_BITS  13         /* fractional bits in scale factors */
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#endif
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typedef FAST_FLOAT FLOAT_MULT_TYPE;  /* preferred floating type */
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/*
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 * Each IDCT routine is responsible for range-limiting its results and
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 * converting them to unsigned form (0..MAXJSAMPLE).  The raw outputs could
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 * be quite far out of range if the input data is corrupt, so a bulletproof
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 * range-limiting step is required.  We use a mask-and-table-lookup method
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 * to do the combined operations quickly.  See the comments with
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 * prepare_range_limit_table (in jdmaster.c) for more info.
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 */
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#define IDCT_range_limit(cinfo)  ((cinfo)->sample_range_limit + CENTERJSAMPLE)
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#define RANGE_MASK  (MAXJSAMPLE * 4 + 3) /* 2 bits wider than legal samples */
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/* Extern declarations for the forward and inverse DCT routines. */
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EXTERN(void) jpeg_fdct_islow(DCTELEM *data);
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EXTERN(void) jpeg_fdct_ifast(DCTELEM *data);
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EXTERN(void) jpeg_fdct_float(FAST_FLOAT *data);
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EXTERN(void) jpeg_idct_islow(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_ifast(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_float(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_7x7(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_6x6(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_5x5(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_4x4(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_3x3(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_2x2(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_1x1(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_9x9(j_decompress_ptr cinfo,
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                           jpeg_component_info *compptr, JCOEFPTR coef_block,
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                           JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_10x10(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_11x11(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_12x12(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_13x13(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_14x14(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_15x15(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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EXTERN(void) jpeg_idct_16x16(j_decompress_ptr cinfo,
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                             jpeg_component_info *compptr, JCOEFPTR coef_block,
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                             JSAMPARRAY output_buf, JDIMENSION output_col);
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/*
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 * Macros for handling fixed-point arithmetic; these are used by many
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 * but not all of the DCT/IDCT modules.
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 *
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 * All values are expected to be of type JLONG.
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 * Fractional constants are scaled left by CONST_BITS bits.
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 * CONST_BITS is defined within each module using these macros,
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 * and may differ from one module to the next.
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 */
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#define ONE          ((JLONG)1)
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#define CONST_SCALE  (ONE << CONST_BITS)
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/* Convert a positive real constant to an integer scaled by CONST_SCALE.
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 * Caution: some C compilers fail to reduce "FIX(constant)" at compile time,
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 * thus causing a lot of useless floating-point operations at run time.
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 */
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#define FIX(x)  ((JLONG)((x) * CONST_SCALE + 0.5))
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/* Descale and correctly round a JLONG value that's scaled by N bits.
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 * We assume RIGHT_SHIFT rounds towards minus infinity, so adding
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 * the fudge factor is correct for either sign of X.
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 */
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#define DESCALE(x, n)  RIGHT_SHIFT((x) + (ONE << ((n) - 1)), n)
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/* Multiply a JLONG variable by a JLONG constant to yield a JLONG result.
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 * This macro is used only when the two inputs will actually be no more than
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 * 16 bits wide, so that a 16x16->32 bit multiply can be used instead of a
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 * full 32x32 multiply.  This provides a useful speedup on many machines.
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 * Unfortunately there is no way to specify a 16x16->32 multiply portably
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 * in C, but some C compilers will do the right thing if you provide the
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 * correct combination of casts.
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 */
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#ifdef SHORTxSHORT_32           /* may work if 'int' is 32 bits */
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#define MULTIPLY16C16(var, const)  (((INT16)(var)) * ((INT16)(const)))
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#endif
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#ifdef SHORTxLCONST_32          /* known to work with Microsoft C 6.0 */
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#define MULTIPLY16C16(var, const)  (((INT16)(var)) * ((JLONG)(const)))
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#endif
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#ifndef MULTIPLY16C16           /* default definition */
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#define MULTIPLY16C16(var, const)  ((var) * (const))
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#endif
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/* Same except both inputs are variables. */
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#ifdef SHORTxSHORT_32           /* may work if 'int' is 32 bits */
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#define MULTIPLY16V16(var1, var2)  (((INT16)(var1)) * ((INT16)(var2)))
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#endif
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#ifndef MULTIPLY16V16           /* default definition */
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#define MULTIPLY16V16(var1, var2)  ((var1) * (var2))
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#endif