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<html><!-- Created using the cpp_pretty_printer from the dlib C++ library. See http://dlib.net for updates. --><head><title>dlib C++ Library - jfdctflt.c</title></head><body bgcolor='white'><pre>
<font color='#009900'>/*
* jfdctflt.c
*
* Copyright (C) 1994-1996, Thomas G. Lane.
* Modified 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.
*
* This file contains a floating-point implementation of the
* forward DCT (Discrete Cosine Transform).
*
* This implementation should be more accurate than either of the integer
* DCT implementations. However, it may not give the same results on all
* machines because of differences in roundoff behavior. Speed will depend
* on the hardware's floating point capacity.
*
* A 2-D DCT can be done by 1-D DCT on each row followed by 1-D DCT
* on each column. Direct algorithms are also available, but they are
* much more complex and seem not to be any faster when reduced to code.
*
* This implementation is based on Arai, Agui, and Nakajima's algorithm for
* scaled DCT. Their original paper (Trans. IEICE E-71(11):1095) is in
* Japanese, but the algorithm is described in the Pennebaker &amp; Mitchell
* JPEG textbook (see REFERENCES section in file README). The following code
* is based directly on figure 4-8 in P&amp;M.
* While an 8-point DCT cannot be done in less than 11 multiplies, it is
* possible to arrange the computation so that many of the multiplies are
* simple scalings of the final outputs. These multiplies can then be
* folded into the multiplications or divisions by the JPEG quantization
* table entries. The AA&amp;N method leaves only 5 multiplies and 29 adds
* to be done in the DCT itself.
* The primary disadvantage of this method is that with a fixed-point
* implementation, accuracy is lost due to imprecise representation of the
* scaled quantization values. However, that problem does not arise if
* we use floating point arithmetic.
*/</font>
<font color='#0000FF'>#define</font> JPEG_INTERNALS
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='jinclude.h.html'>jinclude.h</a>"
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='jpeglib.h.html'>jpeglib.h</a>"
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='jdct.h.html'>jdct.h</a>" <font color='#009900'>/* Private declarations for DCT subsystem */</font>
<font color='#0000FF'>#ifdef</font> DCT_FLOAT_SUPPORTED
<font color='#009900'>/*
* This module is specialized to the case DCTSIZE = 8.
*/</font>
<font color='#0000FF'>#if</font> DCTSIZE <font color='#5555FF'>!</font><font color='#5555FF'>=</font> <font color='#979000'>8</font>
Sorry, <font color='#0000FF'>this</font> code only copes with <font color='#979000'>8</font>x8 DCTs. <font color='#009900'>/* deliberate syntax err */</font>
<font color='#0000FF'>#endif</font>
<font color='#009900'>/*
* Perform the forward DCT on one block of samples.
*/</font>
<b><a name='GLOBAL'></a>GLOBAL</b><font face='Lucida Console'>(</font><font color='#0000FF'><u>void</u></font><font face='Lucida Console'>)</font>
<b><a name='jpeg_fdct_float'></a>jpeg_fdct_float</b> <font face='Lucida Console'>(</font>FAST_FLOAT <font color='#5555FF'>*</font> data, JSAMPARRAY sample_data, JDIMENSION start_col<font face='Lucida Console'>)</font>
<b>{</b>
FAST_FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
FAST_FLOAT tmp10, tmp11, tmp12, tmp13;
FAST_FLOAT z1, z2, z3, z4, z5, z11, z13;
FAST_FLOAT <font color='#5555FF'>*</font>dataptr;
JSAMPROW elemptr;
<font color='#0000FF'><u>int</u></font> ctr;
<font color='#009900'>/* Pass 1: process rows. */</font>
dataptr <font color='#5555FF'>=</font> data;
<font color='#0000FF'>for</font> <font face='Lucida Console'>(</font>ctr <font color='#5555FF'>=</font> <font color='#979000'>0</font>; ctr <font color='#5555FF'>&lt;</font> DCTSIZE; ctr<font color='#5555FF'>+</font><font color='#5555FF'>+</font><font face='Lucida Console'>)</font> <b>{</b>
elemptr <font color='#5555FF'>=</font> sample_data[ctr] <font color='#5555FF'>+</font> start_col;
<font color='#009900'>/* Load data into workspace */</font>
tmp0 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>0</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>7</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp7 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>0</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>7</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp1 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>1</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>6</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp6 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>1</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>6</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp2 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>2</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>5</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp5 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>2</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>5</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp3 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>3</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>4</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
tmp4 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>3</font>]<font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>GETJSAMPLE</font><font face='Lucida Console'>(</font>elemptr[<font color='#979000'>4</font>]<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
<font color='#009900'>/* Even part */</font>
tmp10 <font color='#5555FF'>=</font> tmp0 <font color='#5555FF'>+</font> tmp3; <font color='#009900'>/* phase 2 */</font>
tmp13 <font color='#5555FF'>=</font> tmp0 <font color='#5555FF'>-</font> tmp3;
tmp11 <font color='#5555FF'>=</font> tmp1 <font color='#5555FF'>+</font> tmp2;
tmp12 <font color='#5555FF'>=</font> tmp1 <font color='#5555FF'>-</font> tmp2;
<font color='#009900'>/* Apply unsigned-&gt;signed conversion */</font>
dataptr[<font color='#979000'>0</font>] <font color='#5555FF'>=</font> tmp10 <font color='#5555FF'>+</font> tmp11 <font color='#5555FF'>-</font> <font color='#979000'>8</font> <font color='#5555FF'>*</font> CENTERJSAMPLE; <font color='#009900'>/* phase 3 */</font>
dataptr[<font color='#979000'>4</font>] <font color='#5555FF'>=</font> tmp10 <font color='#5555FF'>-</font> tmp11;
z1 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>tmp12 <font color='#5555FF'>+</font> tmp13<font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.707106781</font><font face='Lucida Console'>)</font>; <font color='#009900'>/* c4 */</font>
dataptr[<font color='#979000'>2</font>] <font color='#5555FF'>=</font> tmp13 <font color='#5555FF'>+</font> z1; <font color='#009900'>/* phase 5 */</font>
dataptr[<font color='#979000'>6</font>] <font color='#5555FF'>=</font> tmp13 <font color='#5555FF'>-</font> z1;
<font color='#009900'>/* Odd part */</font>
tmp10 <font color='#5555FF'>=</font> tmp4 <font color='#5555FF'>+</font> tmp5; <font color='#009900'>/* phase 2 */</font>
tmp11 <font color='#5555FF'>=</font> tmp5 <font color='#5555FF'>+</font> tmp6;
tmp12 <font color='#5555FF'>=</font> tmp6 <font color='#5555FF'>+</font> tmp7;
<font color='#009900'>/* The rotator is modified from fig 4-8 to avoid extra negations. */</font>
z5 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>tmp10 <font color='#5555FF'>-</font> tmp12<font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.382683433</font><font face='Lucida Console'>)</font>; <font color='#009900'>/* c6 */</font>
z2 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.541196100</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> tmp10 <font color='#5555FF'>+</font> z5; <font color='#009900'>/* c2-c6 */</font>
z4 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>1.306562965</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> tmp12 <font color='#5555FF'>+</font> z5; <font color='#009900'>/* c2+c6 */</font>
z3 <font color='#5555FF'>=</font> tmp11 <font color='#5555FF'>*</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.707106781</font><font face='Lucida Console'>)</font>; <font color='#009900'>/* c4 */</font>
z11 <font color='#5555FF'>=</font> tmp7 <font color='#5555FF'>+</font> z3; <font color='#009900'>/* phase 5 */</font>
z13 <font color='#5555FF'>=</font> tmp7 <font color='#5555FF'>-</font> z3;
dataptr[<font color='#979000'>5</font>] <font color='#5555FF'>=</font> z13 <font color='#5555FF'>+</font> z2; <font color='#009900'>/* phase 6 */</font>
dataptr[<font color='#979000'>3</font>] <font color='#5555FF'>=</font> z13 <font color='#5555FF'>-</font> z2;
dataptr[<font color='#979000'>1</font>] <font color='#5555FF'>=</font> z11 <font color='#5555FF'>+</font> z4;
dataptr[<font color='#979000'>7</font>] <font color='#5555FF'>=</font> z11 <font color='#5555FF'>-</font> z4;
dataptr <font color='#5555FF'>+</font><font color='#5555FF'>=</font> DCTSIZE; <font color='#009900'>/* advance pointer to next row */</font>
<b>}</b>
<font color='#009900'>/* Pass 2: process columns. */</font>
dataptr <font color='#5555FF'>=</font> data;
<font color='#0000FF'>for</font> <font face='Lucida Console'>(</font>ctr <font color='#5555FF'>=</font> DCTSIZE<font color='#5555FF'>-</font><font color='#979000'>1</font>; ctr <font color='#5555FF'>&gt;</font><font color='#5555FF'>=</font> <font color='#979000'>0</font>; ctr<font color='#5555FF'>-</font><font color='#5555FF'>-</font><font face='Lucida Console'>)</font> <b>{</b>
tmp0 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>0</font>] <font color='#5555FF'>+</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>7</font>];
tmp7 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>0</font>] <font color='#5555FF'>-</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>7</font>];
tmp1 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>1</font>] <font color='#5555FF'>+</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>6</font>];
tmp6 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>1</font>] <font color='#5555FF'>-</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>6</font>];
tmp2 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>2</font>] <font color='#5555FF'>+</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>5</font>];
tmp5 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>2</font>] <font color='#5555FF'>-</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>5</font>];
tmp3 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>3</font>] <font color='#5555FF'>+</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>4</font>];
tmp4 <font color='#5555FF'>=</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>3</font>] <font color='#5555FF'>-</font> dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>4</font>];
<font color='#009900'>/* Even part */</font>
tmp10 <font color='#5555FF'>=</font> tmp0 <font color='#5555FF'>+</font> tmp3; <font color='#009900'>/* phase 2 */</font>
tmp13 <font color='#5555FF'>=</font> tmp0 <font color='#5555FF'>-</font> tmp3;
tmp11 <font color='#5555FF'>=</font> tmp1 <font color='#5555FF'>+</font> tmp2;
tmp12 <font color='#5555FF'>=</font> tmp1 <font color='#5555FF'>-</font> tmp2;
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>0</font>] <font color='#5555FF'>=</font> tmp10 <font color='#5555FF'>+</font> tmp11; <font color='#009900'>/* phase 3 */</font>
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>4</font>] <font color='#5555FF'>=</font> tmp10 <font color='#5555FF'>-</font> tmp11;
z1 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>tmp12 <font color='#5555FF'>+</font> tmp13<font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.707106781</font><font face='Lucida Console'>)</font>; <font color='#009900'>/* c4 */</font>
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>2</font>] <font color='#5555FF'>=</font> tmp13 <font color='#5555FF'>+</font> z1; <font color='#009900'>/* phase 5 */</font>
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>6</font>] <font color='#5555FF'>=</font> tmp13 <font color='#5555FF'>-</font> z1;
<font color='#009900'>/* Odd part */</font>
tmp10 <font color='#5555FF'>=</font> tmp4 <font color='#5555FF'>+</font> tmp5; <font color='#009900'>/* phase 2 */</font>
tmp11 <font color='#5555FF'>=</font> tmp5 <font color='#5555FF'>+</font> tmp6;
tmp12 <font color='#5555FF'>=</font> tmp6 <font color='#5555FF'>+</font> tmp7;
<font color='#009900'>/* The rotator is modified from fig 4-8 to avoid extra negations. */</font>
z5 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>tmp10 <font color='#5555FF'>-</font> tmp12<font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.382683433</font><font face='Lucida Console'>)</font>; <font color='#009900'>/* c6 */</font>
z2 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.541196100</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> tmp10 <font color='#5555FF'>+</font> z5; <font color='#009900'>/* c2-c6 */</font>
z4 <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>1.306562965</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font> tmp12 <font color='#5555FF'>+</font> z5; <font color='#009900'>/* c2+c6 */</font>
z3 <font color='#5555FF'>=</font> tmp11 <font color='#5555FF'>*</font> <font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>FAST_FLOAT<font face='Lucida Console'>)</font> <font color='#979000'>0.707106781</font><font face='Lucida Console'>)</font>; <font color='#009900'>/* c4 */</font>
z11 <font color='#5555FF'>=</font> tmp7 <font color='#5555FF'>+</font> z3; <font color='#009900'>/* phase 5 */</font>
z13 <font color='#5555FF'>=</font> tmp7 <font color='#5555FF'>-</font> z3;
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>5</font>] <font color='#5555FF'>=</font> z13 <font color='#5555FF'>+</font> z2; <font color='#009900'>/* phase 6 */</font>
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>3</font>] <font color='#5555FF'>=</font> z13 <font color='#5555FF'>-</font> z2;
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>1</font>] <font color='#5555FF'>=</font> z11 <font color='#5555FF'>+</font> z4;
dataptr[DCTSIZE<font color='#5555FF'>*</font><font color='#979000'>7</font>] <font color='#5555FF'>=</font> z11 <font color='#5555FF'>-</font> z4;
dataptr<font color='#5555FF'>+</font><font color='#5555FF'>+</font>; <font color='#009900'>/* advance pointer to next column */</font>
<b>}</b>
<b>}</b>
<font color='#0000FF'>#endif</font> <font color='#009900'>/* DCT_FLOAT_SUPPORTED */</font>
</pre></body></html>