From 66d09ba16bb69441e153bb26e2844f1f2b488048 Mon Sep 17 00:00:00 2001 From: LiWanpeng <918735590@qq.com> Date: Tue, 21 Jul 2026 15:36:27 +0800 Subject: [PATCH] update FakeQuantWithMinMaxVars and TopKFusion op doc --- .../appdevelop/ai_dsp/gray_cnn.doctree | Bin 96224 -> 96222 bytes .../doctrees/appdevelop/ai_dsp/index.doctree | Bin 2856 -> 2854 bytes .../appdevelop/autocodegen/index.doctree | Bin 2832 -> 2830 bytes master/doctrees/appdevelop/dsp/hrrp.doctree | Bin 91268 -> 91266 bytes master/doctrees/appdevelop/dsp/index.doctree | Bin 2887 -> 2885 bytes master/doctrees/appdevelop/dsp/rdsar.doctree | Bin 43032 -> 43030 bytes master/doctrees/appdevelop/dsp/rpc.doctree | Bin 56816 -> 56814 bytes master/doctrees/appdevelop/index.doctree | Bin 2907 -> 2905 bytes master/doctrees/environment.pickle | Bin 25895441 -> 25950198 bytes .../functionlib/custom_op/complex_abs.doctree | Bin 8958 -> 9418 bytes .../functionlib/custom_op/fft.doctree | Bin 16386 -> 16384 bytes 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z{NWzkAMP<)5B=osv3Wh5O0OZ4{^RRmysw9=A`x>o> zr-(&W>)}c=(qKLOqFRgj_0Y7Yx2iQ=P-t>`1C3@LW|AMDADV1k4=cY_vmV~XsOZDY zA9hvou3OL^6e9G5D4c5apa`)K09uB0}kV*gX^)TMo!>Mv_Gp~nhEPB_b z^)Q)*`M!>o^^opsv>rAk7FDf>#mPv6^)O7emLF@6QGRGzQ;=#+trePvuxqk)J!CZnhD`d8uZQuz9uAayn|VEq zu;^Wz*27U2=KH!<)26sTGKg&rvKPA#jc03 z|I#N5=plHzhXmunAmLIX{IPPUP<;ybo^Jl$p240WzVohh;2aY0|~ zFD$g`PBsfm2S7-cDS9&@{(^hga3N9jkHpbGl0^SV8vP?#^pE7xKT<^hNE!VjRrHV4 z(Ld5e|8S1}kv95Ay67M2qkm+G{*fkk0<3r$qc?`-B^#NdH@+1l8!pisndy(hLeCNj zoP=j3fxyzhyD~t(a=?Z1Kh1opbQ)Btd6L^`udoi*E{X@5H)R|jBzN1#w=U_=)nSvTO9?!Zkq;H5jT*b}Ja z4J7mdf(77oFQBy_aKInP9SAJw4Y&jYy+eTap@3IkU|&C=UVmWo03hQaAYw4EbSU6A z92oK^kbe}gVKm^Y18$B1s_228 z38a_@^q&u0S^&&j1iV=cWLpXd%YbdmfqN@}va5h}Ykj!i_+;O~CujK-sN8 zr)|Kp?ZBfQK-yh^>uzAy9^k-UAk%)J@-mI zED&)H$bJFna1j`K2{>~ZsC5;XeGMpo16X(yNN^jNeg`OZ4;XtN$QuQ0eF(Tb239-) zp8Nx(e@0G&U!>EZ*Bdk?e+S%o4-EPUH2VxZ{Q`(zfdc;l`@RFN2@>LjOaz=v49rOi ztV|AMP6=#F1>{Qu>~RK)qyr|W2mZ|fcw_=jx&T5J;CxmfFk3=M$tFoDmJ3Z{9@3Ou zYARF+P4kNaX-fk6%8g@HCjf%3(HOeKNJrGZ>!fu!Yu zbrpcWDgkw?0Iz=oW><59;hd7;(v|R8?<)i4ssab9kx%_q>a0);P5!lkZFPZ9^?`2< z0hcCZST1Q;)|P1crxg(12B^^vNY??l*Advz8R*s(sOJhi=ni!10i1CM{5^rx-oUb+ zKyHB;&Mg`KHvmn|gMhXn!0SFh`Y_;re=;nOH0t{$;@P z6~LfXK$L@ViIN*Ge zbQX|07o9~@uk*mPi$I~vq_d#ZdGQ*W3furfZvwM#0ncv(E_Z?I_W;lP!0`vbqbMNJ zBj6)J#wS3se}I1pUOpv;3rU8*y+G5jS3r_CfbK02^$w`@0hs*}`1}bt_yutJ3V414 zHvR|P{0<~ZkjP0Wkq~H`C=m=7mJGj0il(6Cz=sq-|5U)G)IeEhV0>EOpLD>c3_#LM zKsy&;QD)#&7T`lx;MZ(Gz3jwr5y@~+E;P-|Lz;?8O}`gF)2V`_shHH1w>X;CmjF7I z0ydW>oyDcj73I;?p(1dj5^$&rP@^g^z8V=;LK@~?3r)9b10CxDD;fZW8Uy{C0w
    -void hp_fake_quant_with_min_max_vars_s(half *src, half min_val, half max_val, half *output, int length, int quant_min, int quant_max, bool symmetric, int core_mask)ïƒ
    +void hp_fake_quant_with_min_max_vars_s(float16 *src, float16 *output, float16 min_val, float16 max_val, long long *params, int core_mask)ïƒ

    C调用示例：

    -
     1// FT78NE 示例：fp32 类型共享存储多核计算
+
     1// MT7004 示例：fp32 类型共享存储多核计算
  2#include <stdio.h>
  3#include <stdbool.h>
- 4#include "78NE/utils.h"
- 5
- 6int main(int argc, char* argv[]) {
- 7    float *input = (float *)0xA0000000;
- 8    float *output = (float *)0xB0000000;
- 9    float min_v = -10.0f;
-10    float max_v = 10.0f;
-11    int length = 960001;
-12    int core_mask = 0b1011;
-13    fp_fake_quant_with_min_max_vars_s(input, min_v, max_v, output, length, 0, 255, false, core_mask);
-14    return 0;
-15}
+ 4
+ 5int main(int argc, char* argv[]) {
+ 6    float *input = (float *)0x81000200;
+ 7    float *output = (float *)0x82000000;
+ 8    float min_v = -10.0f;
+ 9    float max_v = 10.0f;
+10    int length = 1024;
+11    int core_mask = 0b1011;
+12    long long params[4];
+13    params[0] = length;
+14    params[1] = 0;       // quant_min
+15    params[2] = 255;     // quant_max
+16    params[3] = false;   // symmetric
+17    fp_fake_quant_with_min_max_vars_s(input, output, min_v, max_v, params, core_mask);
+18    return 0;
+19}
    @@ -376,26 +397,31 @@

    ç§æœ‰å­˜å‚¨ç‰ˆæœ¬:

    -void fp_fake_quant_with_min_max_vars_p(float *src, float min_val, float max_val, float *output, int length, int quant_min, int quant_max, bool symmetric)ïƒ
    +void fp_fake_quant_with_min_max_vars_p(float *src, float *output, float min_val, float max_val, long long *params)ïƒ
    -void hp_fake_quant_with_min_max_vars_p(half *src, half min_val, half max_val, half *output, int length, int quant_min, int quant_max, bool symmetric)ïƒ
    +void hp_fake_quant_with_min_max_vars_p(float16 *src, float16 *output, float16 min_val, float16 max_val, long long *params)ïƒ

    C调用示例：

    -
     1// MT7004 示例：fp16 (half) 类型ç§æœ‰å­˜å‚¨å•æ ¸è®¡ç®—
+
     1// MT7004 示例：fp16 (float16) 类型ç§æœ‰å­˜å‚¨å•æ ¸è®¡ç®—
  2#include <stdio.h>
  3#include <stdbool.h>
  4
  5int main(int argc, char* argv[]) {
- 6    half *input = (half *)0x10000000;
- 7    half *output = (half *)0x10001000;
- 8    half min_v = (half)-5.0f;
- 9    half max_v = (half)5.0f;
+ 6    float16 *input = (float16 *)0x10030000;
+ 7    float16 *output = (float16 *)0x10040000;
+ 8    float16 min_v = fp32_to_fp16(-5.0f);
+ 9    float16 max_v = fp32_to_fp16(5.0f);
 10    int length = 1024;
-11    hp_fake_quant_with_min_max_vars_p(input, min_v, max_v, output, length, 0, 255, true);
-12    return 0;
-13}
+11    long long params[4];
+12    params[0] = length;
+13    params[1] = 0;       // quant_min
+14    params[2] = 255;     // quant_max
+15    params[3] = true;    // symmetric
+16    hp_fake_quant_with_min_max_vars_p(input, output, min_v, max_v, params);
+17    return 0;
+18}
    diff --git a/master/html/functionlib/dsplib/fft_with_size.html b/master/html/functionlib/dsplib/fft_with_size.html new file mode 100644 index 00000000..b36346c3 --- /dev/null +++ b/master/html/functionlib/dsplib/fft_with_size.html @@ -0,0 +1,212 @@ + + + + + + + + + FFTWithSize — MindSpore Signal+ 使用手册 alpha 文档 + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    + +
    +
    + +
    +

    FFTWithSizeïƒ

    +
    +
    +class mindspore.ops.FFTWithSize(signal_ndim, inverse, real, norm='backward', onesided=True, signal_sizes=())ïƒ
    +

    傅里å¶å˜æ¢ï¼Œå¯ä»¥å¯¹å‚数进行调整，以实现FFT/IFFT/RFFT/IRFFT。

    +

    对于FFT，它计算以下表达å¼ï¼š

    +
    +\[X[\omega_1, \dots, \omega_d] = + \sum_{n_1=0}^{N_1-1} \dots \sum_{n_d=0}^{N_d-1} x[n_1, \dots, n_d] + e^{-j\ 2 \pi \sum_{i=0}^d \frac{\omega_i n_i}{N_i}},\]
    +

    其中， \(d\) = signal_ndim 是信å·çš„维度，\(N_i\) 则是信å·ç¬¬ \(i\) 个维度的大å°ã€‚

    +

    对于IFFT，它计算以下表达å¼ï¼š

    +
    +\[X[\omega_1, \dots, \omega_d] = + \frac{1}{\prod_{i=1}^d N_i} \sum_{n_1=0}^{N_1-1} \dots \sum_{n_d=0}^{N_d-1} x[n_1, \dots, n_d] + e^{\ j\ 2 \pi \sum_{i=0}^d \frac{\omega_i n_i}{N_i}},\]
    +

    其中， \(d\) = signal_ndim 是信å·çš„维度，\(N_i\) 则是信å·ç¬¬ \(i\) 维的大å°ã€‚

    +
    +

    备注

    +
      +

    • FFT/IFFTè¦æ±‚complex64或complex128类型的输入，返回complex64或complex128类型的输出。

      • +

    • RFFTè¦æ±‚bool, uint8, int8, int16, int32, int64, float32或float64类型的输入， +返回complex64或complex128类型的输出。

      • +

    • IRFFTè¦æ±‚complex64或complex128类型的输入，返回float32或float64类型的输出。

      • +
    +
    +
    +

    警告

    +

    这是一个实验性API，åŽç»­å¯èƒ½ä¿®æ”¹æˆ–删除。

    +
    +
    +
    å‚数：
      +

    • signal_ndim (int) - 表示æ¯ä¸ªä¿¡å·ä¸­çš„维数，控制ç€å‚…里å¶å˜æ¢çš„维数，其值åªèƒ½ä¸º1ã€2或3。

      • +

    • inverse (bool) - 表示该æ“作是å¦ä¸ºé€†å˜æ¢ï¼Œç”¨ä»¥é€‰æ‹©FFT å’Œ RFFT 或 IFFT å’Œ IRFFT。

      +
        +

      • 如果为 True ，则为IFFT å’Œ IRFFT。

        • +

      • 如果为 False ，FFT å’Œ RFFT。

        • +
      +
      • +

    • real (bool) - 表示该æ“作是å¦ä¸ºå®žå˜æ¢ï¼Œä¸Ž inverse å…±åŒå†³å®šå…·ä½“çš„å˜æ¢æ¨¡å¼ï¼š

      +
        +

      • inverse 为 False ， real 为 False ：对应FFT模å¼ã€‚

        • +

      • inverse 为 True ， real 为 False ：对应IFFT模å¼ã€‚

        • +

      • inverse 为 False ， real 为 True ：对应RFFT模å¼ã€‚

        • +

      • inverse 为 True ， real 为 True ：对应IRFFT模å¼ã€‚

        • +
      +
      • +

    • norm (str，å¯é€‰) - 表示该æ“作的规范化方å¼ï¼Œå¯é€‰å€¼ï¼š[ "backward" , "forward" , "ortho" ]。默认值： "backward" 。

      +
        +

      • “backwardâ€ï¼Œæ­£å‘å˜æ¢ä¸ç¼©æ”¾ï¼Œé€†å˜æ¢æŒ‰ \(1/n\) 缩放，其中 n 表示输入 x 的元素数é‡ã€‚。

        • +

      • “orthoâ€ï¼Œæ­£å‘å˜æ¢ä¸Žé€†å˜æ¢å‡æŒ‰ \(1/\sqrt n\) 缩放。

        • +

      • “forwardâ€ï¼Œæ­£å‘å˜æ¢æŒ‰ \(1/n\) 缩放，逆å˜æ¢ä¸ç¼©æ”¾ã€‚

        • +
      +
      • +

    • onesided (bool，å¯é€‰) - 控制输入是å¦å‡åŠä»¥é¿å…冗余。默认值： True 。

      • +

    • signal_sizes (tuple，å¯é€‰) - 原始信å·çš„大å°ï¼ˆRFFTå˜æ¢ä¹‹å‰çš„ä¿¡å·ï¼Œä¸åŒ…å«batch这一维），åªæœ‰åœ¨IRFFT模å¼ä¸‹å’Œè®¾ç½® onesided 为True时需è¦è¯¥å‚数，需è¦æ»¡è¶³ +以下æ¡ä»¶ã€‚默认值： () 。

      +
        +

      • signal_sizes 的长度等于IRFFTçš„ signal_ndim ： \(len(signal\_sizes)=signal\_ndim\) 。

        • +

      • signal_sizes 的最åŽä¸€ä¸ªç»´åº¦é™¤ä»¥2等于IRFFT输入的最åŽä¸€ä¸ªç»´åº¦ï¼š \(signal\_size[-1]/2+1=x.shape[-1]\) 。

        • +

      • 除了最åŽä¸€ä¸ªç»´åº¦å¤–， signal_sizes 的维度与输入shape完全相åŒï¼š \(signal\_sizes[:-1]=x.shape[:-1]\) 。

        • +
      +
      • +
    +
    +
    输入：
      +

    • x (Tensor) - 输入Tensor的维数必须大于或等于 signal_ndim 。

      • +
    +
    +
    输出：

    Tensor，表示å¤æ•°åˆ°å¤æ•°ã€å®žæ•°åˆ°å¤æ•°æˆ–å¤æ•°åˆ°å®žæ•°å‚…里å¶å˜æ¢çš„结果。

    +
    +
    异常：
      +

    • TypeError - 如果FFT/IFFT/IRFF的输入类型ä¸æ˜¯ä»¥ä¸‹ç±»åž‹ä¹‹ä¸€ï¼šcomplex64ã€complex128。

      • +

    • TypeError - 如果输入的类型ä¸æ˜¯Tensor。

      • +

    • ValueError - 如果输入 x 的维度å°äºŽ signal_ndim 。

      • +

    • ValueError - 如果 signal_ndim 大于3或å°äºŽ1。

      • +

    • ValueError - 如果 norm å–值ä¸æ˜¯â€backwardâ€ã€â€forwardâ€æˆ–â€orthoâ€ã€‚

      • +
    +
    +
    +
    + +
    + + +
    +
    + +
    +
    +
    +
    + + + + \ No newline at end of file diff --git a/master/html/functionlib/dsplib/log10.html b/master/html/functionlib/dsplib/log10.html new file mode 100644 index 00000000..6246a2c0 --- /dev/null +++ b/master/html/functionlib/dsplib/log10.html @@ -0,0 +1,171 @@ + + + + + + + + + Log10 — MindSpore Signal+ 使用手册 alpha 文档 + + + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    + +
    +
    + +
    +

    Log10ïƒ

    +

    共享存储版本:

    +
    +
    +void fp_log10_s(float *input1, int n, float *output, int mask);ïƒ
    +

    快速计算以10为底的对数

    +
    +\[output_i = \log_{10}(input1_i)\]
    +
    +
    输入：
      +

    • Input1 - 输入数æ®åœ°å€ã€‚

      • +

    • n - 计算长度。

      • +

    • mask - 核掩ç ã€‚

      • +
    +
    +
    输出：
      +

    • output - 计算结果地å€ã€‚

      • +
    +
    +
    支æŒå¹³å°ï¼š

    MT7004

    +
    +
    +
    +

    备注

    +
      +

    • MT7004 支æŒfp32

      • +
    +
    +

    C调用示例：

    +
     1//MT7004示例
+ 2#include <stdio.h>
+ 3
+ 4int main(int argc, char* argv[]) {
+ 5    float *input1 = (float *)0x100000000;   //input在DDR空间
+ 6    float *output = (float *)0x100001000;
+ 7    int n = 1000;
+ 8    int mask = 0xf;
+ 9    fp_log10_s(input1, n, output, mask);
+10    return 0;
+11}
+
    +
    +
    + +
    + + +
    +
    + +
    +
    +
    +
    + + + + \ No newline at end of file diff --git a/master/html/functionlib/dsplib/topk.html b/master/html/functionlib/dsplib/topk.html index 0f54b052..afbabe0e 100644 --- a/master/html/functionlib/dsplib/topk.html +++ b/master/html/functionlib/dsplib/topk.html @@ -356,14 +356,14 @@ 2params[0] = (long long)in_shape; // 输入张é‡çš„维度信æ¯æ•°ç»„ 3params[1] = (long long)in_strides; // 输入张é‡çš„步长信æ¯æ•°ç»„ 4params[2] = (long long)out_strides; // 输出张é‡çš„步长信æ¯æ•°ç»„ - 5params[3] = (long long)arg_elements; // ç”¨äºŽå­˜æ”¾å€™é€‰å€¼çš„ä¸´æ—¶å·¥ä½œç©ºé—´åœ°å€ - 6params[4] = (long long)index; // ç”¨äºŽå­˜æ”¾å€™é€‰ç´¢å¼•çš„ä¸´æ—¶å·¥ä½œç©ºé—´åœ°å€ + 5params[3] = (long long)arg_elements; // 用于存放候选值的临时工作空间地å€ï¼Œå¤§å°ä¸º axis_dim * core_num * sizeof(输入数æ®ç±»åž‹)，8 å­—èŠ‚å¯¹é½ + 6params[4] = (long long)index; // 用于存放候选索引的临时工作空间地å€ï¼Œå¤§å°ä¸º axis_dim * core_num * sizeof(int32)，8 å­—èŠ‚å¯¹é½ 7params[5] = (long long)topk; // 需è¦æŸ¥æ‰¾çš„最大/最å°å€¼çš„æ•°é‡ 8params[6] = (long long)in_shape_size; // 输入张é‡çš„维度数 (å³ in_shape 数组的长度) 9params[7] = (long long)axis; // 执行查找æ“作的轴 10params[8] = (long long)largest; // 是å¦æŸ¥æ‰¾æœ€å¤§å€¼çš„标志。若为 0，则查找最å°å€¼ -11params[9] = (long long)topk_val; // 临时缓存，大å°ä¸º topk * sizeof(输入数æ®ç±»åž‹) -12params[10] = (long long)topk_idx; // 临时缓存，大å°ä¸º topk * sizeof(int32) +11params[9] = (long long)topk_val; // 临时缓存，大å°ä¸º topk * core_num * sizeof(输入数æ®ç±»åž‹)，8 å­—èŠ‚å¯¹é½ +12params[10] = (long long)topk_idx; // 临时缓存，大å°ä¸º topk * core_num * sizeof(int32)，8 字节对é½

    共享存储版本:

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65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 84, 85, 86, 87, 88, 89, 92, 93, 94, 97, 98, 99, 100, 101, 103, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 120, 121, 122, 123, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 142, 143, 144, 145, 146, 147, 149, 150, 152, 153, 154, 155, 156, 157, 159, 160, 161, 163, 164, 165, 166, 167, 170, 171, 172, 173, 174, 175, 176, 177, 178, 180, 181, 185, 186, 187, 189, 190, 191, 192, 195, 196, 197, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 210, 213, 215, 216, 217, 218, 219, 222, 223, 225, 226, 227, 228, 230, 231, 232, 235], "fp_abs_grad_": 13, "hp_abs_grad_": 13, "abs_grad": 13, "0xb0000000": [13, 15, 17, 21, 23, 25, 29, 30, 33, 35, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 52, 53, 57, 59, 60, 61, 64, 68, 69, 72, 73, 76, 79, 80, 89, 92, 93, 94, 95, 100, 102, 113, 115, 117, 118, 122, 123, 128, 129, 130, 133, 134, 135, 138, 139, 144, 145, 146, 149, 150, 152, 153, 159, 160, 163, 170, 171, 172, 173, 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202, 203, 208, 211, 212, 214, 215, 221, 232], "input_i": [14, 28, 30, 41, 42, 79, 104, 105, 106, 114, 117, 132, 138, 139, 149, 160, 163, 211], "relu6": [14, 15, 18, 22, 47, 66, 91, 106, 127, 136, 209], "min_val": [14, 79, 80], "max_val": [14, 79, 80], "_val": [14, 34, 79], "lrelu": 14, "leaki": [14, 15, 109], "rectifi": 14, "linear": [14, 73, 97], "unit": [14, 36, 73, 92, 97, 100], "ge": [14, 73, 129], "cdot": [14, 15, 16, 17, 22, 25, 33, 34, 37, 41, 42, 62, 67, 68, 69, 72, 73, 74, 78, 88, 91, 92, 100, 103, 107, 108, 109, 112, 113, 120, 123, 124, 125, 126, 130, 131, 140, 141, 151, 154, 165, 173, 178, 180], "sigmoid": [14, 15, 22, 42, 97, 101, 123, 180, 181], "tanh": [14, 15, 22, 101, 123, 124, 125, 126], "hyperbol": 14, "tangent": 14, "hsigmoid": 14, "hard": [14, 15, 22], "left": [14, 31, 35, 37, 38, 66, 71, 79, 103, 120, 121, 154, 169, 190, 191, 207], "right": [14, 31, 35, 37, 38, 66, 71, 79, 103, 120, 121, 154, 169, 190, 191, 207], "swish": [14, 15, 22], "gate": [14, 97, 123], 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*)0xB0000000; + float *input = (float *)0x81000200; + float *output = (float *)0x82000000; float min_v = -10.0f; float max_v = 10.0f; - int length = 960001; + int length = 1024; int core_mask = 0b1011; - fp_fake_quant_with_min_max_vars_s(input, min_v, max_v, output, length, 0, 255, false, core_mask); + long long params[4]; + params[0] = length; + params[1] = 0; // quant_min + params[2] = 255; // quant_max + params[3] = false; // symmetric + fp_fake_quant_with_min_max_vars_s(input, output, min_v, max_v, params, core_mask); return 0; } **ç§æœ‰å­˜å‚¨ç‰ˆæœ¬:** -.. c:function:: void fp_fake_quant_with_min_max_vars_p(float* src, float min_val, float max_val, float* output, int length, int quant_min, int quant_max, bool symmetric) -.. c:function:: void hp_fake_quant_with_min_max_vars_p(half* src, half min_val, half max_val, half* output, int length, int quant_min, int quant_max, bool symmetric) +.. c:function:: void fp_fake_quant_with_min_max_vars_p(float* src, float* output, float min_val, float max_val, long long* params) +.. c:function:: void hp_fake_quant_with_min_max_vars_p(float16* src, float16* output, float16 min_val, float16 max_val, long long* params) **C调用示例：** .. code-block:: c :linenos: - :emphasize-lines: 12 + :emphasize-lines: 16 - // MT7004 示例：fp16 (half) 类型ç§æœ‰å­˜å‚¨å•æ ¸è®¡ç®— + // MT7004 示例：fp16 (float16) 类型ç§æœ‰å­˜å‚¨å•æ ¸è®¡ç®— #include #include int main(int argc, char* argv[]) { - half *input = (half *)0x10000000; - half *output = (half *)0x10001000; - half min_v = (half)-5.0f; - half max_v = (half)5.0f; + float16 *input = (float16 *)0x10030000; + float16 *output = (float16 *)0x10040000; + float16 min_v = fp32_to_fp16(-5.0f); + float16 max_v = fp32_to_fp16(5.0f); int length = 1024; - hp_fake_quant_with_min_max_vars_p(input, min_v, max_v, output, length, 0, 255, true); + long long params[4]; + params[0] = length; + params[1] = 0; // quant_min + params[2] = 255; // quant_max + params[3] = true; // symmetric + hp_fake_quant_with_min_max_vars_p(input, output, min_v, max_v, params); return 0; } \ No newline at end of file diff --git a/master/html/_sources/functionlib/dsplib/fft_with_size.rst.txt b/master/html/_sources/functionlib/dsplib/fft_with_size.rst.txt new file mode 100644 index 00000000..85a12310 --- /dev/null +++ b/master/html/_sources/functionlib/dsplib/fft_with_size.rst.txt @@ -0,0 +1,74 @@ +FFTWithSize +========================= + +.. py:class:: mindspore.ops.FFTWithSize(signal_ndim, inverse, real, norm="backward", onesided=True, signal_sizes=()) + + 傅里å¶å˜æ¢ï¼Œå¯ä»¥å¯¹å‚数进行调整，以实现FFT/IFFT/RFFT/IRFFT。 + + 对于FFT，它计算以下表达å¼ï¼š + + .. math:: + X[\omega_1, \dots, \omega_d] = + \sum_{n_1=0}^{N_1-1} \dots \sum_{n_d=0}^{N_d-1} x[n_1, \dots, n_d] + e^{-j\ 2 \pi \sum_{i=0}^d \frac{\omega_i n_i}{N_i}}, + + 其中， :math:`d` = `signal_ndim` 是信å·çš„维度，:math:`N_i` 则是信å·ç¬¬ :math:`i` 个维度的大å°ã€‚ + + 对于IFFT，它计算以下表达å¼ï¼š + + .. math:: + X[\omega_1, \dots, \omega_d] = + \frac{1}{\prod_{i=1}^d N_i} \sum_{n_1=0}^{N_1-1} \dots \sum_{n_d=0}^{N_d-1} x[n_1, \dots, n_d] + e^{\ j\ 2 \pi \sum_{i=0}^d \frac{\omega_i n_i}{N_i}}, + + 其中， :math:`d` = `signal_ndim` 是信å·çš„维度，:math:`N_i` 则是信å·ç¬¬ :math:`i` 维的大å°ã€‚ + + .. note:: + - FFT/IFFTè¦æ±‚complex64或complex128类型的输入，返回complex64或complex128类型的输出。 + - RFFTè¦æ±‚bool, uint8, int8, int16, int32, int64, float32或float64类型的输入， + 返回complex64或complex128类型的输出。 + - IRFFTè¦æ±‚complex64或complex128类型的输入，返回float32或float64类型的输出。 + + .. warning:: + 这是一个实验性API，åŽç»­å¯èƒ½ä¿®æ”¹æˆ–删除。 + + å‚数： + - **signal_ndim** (int) - 表示æ¯ä¸ªä¿¡å·ä¸­çš„维数，控制ç€å‚…里å¶å˜æ¢çš„维数，其值åªèƒ½ä¸º1ã€2或3。 + - **inverse** (bool) - 表示该æ“作是å¦ä¸ºé€†å˜æ¢ï¼Œç”¨ä»¥é€‰æ‹©FFT å’Œ RFFT 或 IFFT å’Œ IRFFT。 + + - 如果为 ``True`` ，则为IFFT å’Œ IRFFT。 + - 如果为 ``False`` ，FFT å’Œ RFFT。 + + - **real** (bool) - 表示该æ“作是å¦ä¸ºå®žå˜æ¢ï¼Œä¸Ž `inverse` å…±åŒå†³å®šå…·ä½“çš„å˜æ¢æ¨¡å¼ï¼š + + - `inverse` 为 ``False`` ， `real` 为 ``False`` ：对应FFT模å¼ã€‚ + - `inverse` 为 ``True`` ， `real` 为 ``False`` ：对应IFFT模å¼ã€‚ + - `inverse` 为 ``False`` ， `real` 为 ``True`` ：对应RFFT模å¼ã€‚ + - `inverse` 为 ``True`` ， `real` 为 ``True`` ：对应IRFFT模å¼ã€‚ + + - **norm** (str，å¯é€‰) - 表示该æ“作的规范化方å¼ï¼Œå¯é€‰å€¼ï¼š[ ``"backward"`` , ``"forward"`` , ``"ortho"`` ]。默认值： ``"backward"`` 。 + + - "backward"，正å‘å˜æ¢ä¸ç¼©æ”¾ï¼Œé€†å˜æ¢æŒ‰ :math:`1/n` 缩放，其中 `n` 表示输入 `x` 的元素数é‡ã€‚。 + - "ortho"，正å‘å˜æ¢ä¸Žé€†å˜æ¢å‡æŒ‰ :math:`1/\sqrt n` 缩放。 + - "forward"，正å‘å˜æ¢æŒ‰ :math:`1/n` 缩放，逆å˜æ¢ä¸ç¼©æ”¾ã€‚ + + - **onesided** (bool，å¯é€‰) - 控制输入是å¦å‡åŠä»¥é¿å…冗余。默认值： ``True`` 。 + - **signal_sizes** (tuple，å¯é€‰) - 原始信å·çš„大å°ï¼ˆRFFTå˜æ¢ä¹‹å‰çš„ä¿¡å·ï¼Œä¸åŒ…å«batch这一维），åªæœ‰åœ¨IRFFT模å¼ä¸‹å’Œè®¾ç½® `onesided` 为True时需è¦è¯¥å‚数，需è¦æ»¡è¶³ + 以下æ¡ä»¶ã€‚默认值： ``()`` 。 + + - `signal_sizes` 的长度等于IRFFTçš„ `signal_ndim` ： :math:`len(signal\_sizes)=signal\_ndim` 。 + - `signal_sizes` 的最åŽä¸€ä¸ªç»´åº¦é™¤ä»¥2等于IRFFT输入的最åŽä¸€ä¸ªç»´åº¦ï¼š :math:`signal\_size[-1]/2+1=x.shape[-1]` 。 + - 除了最åŽä¸€ä¸ªç»´åº¦å¤–， `signal_sizes` 的维度与输入shape完全相åŒï¼š :math:`signal\_sizes[:-1]=x.shape[:-1]` 。 + + 输入： + - **x** (Tensor) - 输入Tensor的维数必须大于或等于 `signal_ndim` 。 + + 输出： + Tensor，表示å¤æ•°åˆ°å¤æ•°ã€å®žæ•°åˆ°å¤æ•°æˆ–å¤æ•°åˆ°å®žæ•°å‚…里å¶å˜æ¢çš„结果。 + + 异常： + - **TypeError** - 如果FFT/IFFT/IRFF的输入类型ä¸æ˜¯ä»¥ä¸‹ç±»åž‹ä¹‹ä¸€ï¼šcomplex64ã€complex128。 + - **TypeError** - 如果输入的类型ä¸æ˜¯Tensor。 + - **ValueError** - 如果输入 `x` 的维度å°äºŽ `signal_ndim` 。 + - **ValueError** - 如果 `signal_ndim` 大于3或å°äºŽ1。 + - **ValueError** - 如果 `norm` å–值ä¸æ˜¯"backward"ã€"forward"或"ortho"。 \ No newline at end of file diff --git a/master/html/_sources/functionlib/dsplib/log10.rst.txt b/master/html/_sources/functionlib/dsplib/log10.rst.txt new file mode 100644 index 00000000..3b969098 --- /dev/null +++ b/master/html/_sources/functionlib/dsplib/log10.rst.txt @@ -0,0 +1,44 @@ +Log10 +================= + +**共享存储版本:** + +.. c:function:: void fp_log10_s( float* input1,int n,float* output,int mask); + + 快速计算以10为底的对数 + + .. math:: + + output_i = \log_{10}(input1_i) + + 输入： + - **Input1** - 输入数æ®åœ°å€ã€‚ + - **n** - 计算长度。 + - **mask** - 核掩ç ã€‚ + + 输出： + - **output** - 计算结果地å€ã€‚ + + 支æŒå¹³å°ï¼š + ``MT7004`` + + .. note:: + - MT7004 支æŒfp32 + + **C调用示例：** + + .. code-block:: c + :linenos: + :emphasize-lines: 9 + + //MT7004示例 + #include + + int main(int argc, char* argv[]) { + float *input1 = (float *)0x100000000; //input在DDR空间 + float *output = (float *)0x100001000; + int n = 1000; + int mask = 0xf; + fp_log10_s(input1, n, output, mask); + return 0; + } diff --git a/master/html/_sources/functionlib/dsplib/topk.rst.txt b/master/html/_sources/functionlib/dsplib/topk.rst.txt index e320c7fd..877831d7 100644 --- a/master/html/_sources/functionlib/dsplib/topk.rst.txt +++ b/master/html/_sources/functionlib/dsplib/topk.rst.txt @@ -46,14 +46,14 @@ TopKFusion params[0] = (long long)in_shape; // 输入张é‡çš„维度信æ¯æ•°ç»„ params[1] = (long long)in_strides; // 输入张é‡çš„步长信æ¯æ•°ç»„ params[2] = (long long)out_strides; // 输出张é‡çš„步长信æ¯æ•°ç»„ - params[3] = (long long)arg_elements; // ç”¨äºŽå­˜æ”¾å€™é€‰å€¼çš„ä¸´æ—¶å·¥ä½œç©ºé—´åœ°å€ - params[4] = (long long)index; // ç”¨äºŽå­˜æ”¾å€™é€‰ç´¢å¼•çš„ä¸´æ—¶å·¥ä½œç©ºé—´åœ°å€ + params[3] = (long long)arg_elements; // 用于存放候选值的临时工作空间地å€ï¼Œå¤§å°ä¸º axis_dim * core_num * sizeof(输入数æ®ç±»åž‹)，8 å­—èŠ‚å¯¹é½ + params[4] = (long long)index; // 用于存放候选索引的临时工作空间地å€ï¼Œå¤§å°ä¸º axis_dim * core_num * sizeof(int32)，8 å­—èŠ‚å¯¹é½ params[5] = (long long)topk; // 需è¦æŸ¥æ‰¾çš„最大/最å°å€¼çš„æ•°é‡ params[6] = (long long)in_shape_size; // 输入张é‡çš„维度数 (å³ in_shape 数组的长度) params[7] = (long long)axis; // 执行查找æ“作的轴 params[8] = (long long)largest; // 是å¦æŸ¥æ‰¾æœ€å¤§å€¼çš„标志。若为 0，则查找最å°å€¼ - params[9] = (long long)topk_val; // 临时缓存，大å°ä¸º topk * sizeof(输入数æ®ç±»åž‹) - params[10] = (long long)topk_idx; // 临时缓存，大å°ä¸º topk * sizeof(int32) + params[9] = (long long)topk_val; // 临时缓存，大å°ä¸º topk * core_num * sizeof(输入数æ®ç±»åž‹)，8 å­—èŠ‚å¯¹é½ + params[10] = (long long)topk_idx; // 临时缓存，大å°ä¸º topk * core_num * sizeof(int32)，8 å­—èŠ‚å¯¹é½ **共享存储版本:** diff --git a/master/html/_static/hrrp/FFT4f.cpp b/master/html/_static/hrrp/FFT4f.cpp deleted file mode 100644 index 08077859..00000000 --- a/master/html/_static/hrrp/FFT4f.cpp +++ /dev/null @@ -1,2637 +0,0 @@ -#include "FFT4f.h" -#include "math.h" -#include - -void FFT4f(float *Sr, float *Si, int n, int shift) -{ - int i, j, k, p; - int Space; - int Stride; - double WR[3], WI[3], StepR, StepI, CoffR, CoffI; - double R[4], I[4], temp, temp1, temp2, temp3; - float *Sr0, *Si0, *Sr1, *Si1, *Sr2, *Si2, *Sr3, *Si3; - float *SR0, *SI0, *SR1, *SI1, *SR2, *SI2, *SR3, *SI3; - double OutR[4], OutI[4]; - double WeightR[16], WeightI[16]; - int Reverse[16384]; - int nn = 65536 * 4; - for (i = 0; i < 16; i++) - { - WeightR[i] = cos(-2 * PI * 1.0 / nn); - WeightI[i] = sin(-2 * PI * 1.0 / nn); - nn = nn / 2; - } - - int r = 7; - for (i = 0; i < 16384; i++) - { - int k = 0; - int l = 4096; - int p = i; - for (int j = 0; j < r; j++) - { - if (p == 0) - break; - else - { - k = k + (p % 4) * l; - p = p / 4; - } - l = l / 4; - } - Reverse[i] = k; - } - - i = 1; - r = 0; - while (i < n) - { - i = i * 2; - r = r + 1; - } - - if (r % 2 == 0) // »ù4Ëã·¨ - { - Space = n / 4; - Stride = n; - Sr0 = Sr; - Si0 = Si; - - for (i = 0; i < r - 2; i = i + 2) // ½×Êý - { - CoffR = WeightR[18 - r + i]; - CoffI = WeightI[18 - r + i]; - StepR = CoffR; - StepI = CoffI; - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - R[0] = Sr0[j]; - R[1] = Sr1[j]; - R[2] = Sr2[j]; - R[3] = Sr3[j]; - I[0] = Si0[j]; - I[1] = Si1[j]; - I[2] = Si2[j]; - I[3] = Si3[j]; - - Sr0[j] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr1[j] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr2[j] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr3[j] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[j] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si1[j] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si2[j] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si3[j] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } // end of stages - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - p = j + k; - R[0] = Sr0[p]; - R[1] = Sr1[p]; - R[2] = Sr2[p]; - R[3] = Sr3[p]; - I[0] = Si0[p]; - I[1] = Si1[p]; - I[2] = Si2[p]; - I[3] = Si3[p]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[p] = OutR[0]; - Si0[p] = OutI[0]; - Sr1[p] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Si1[p] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Sr2[p] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si2[p] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Sr3[p] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[p] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } // end of stages - } - } // end of spaces - Space = Space / 4; - Stride = Stride / 4; - } - - for (i = 0; i < n; i = i + 4) - { - R[0] = Sr0[i]; - R[1] = Sr0[i + 1]; - R[2] = Sr0[i + 2]; - R[3] = Sr0[i + 3]; - I[0] = Si0[i]; - I[1] = Si0[i + 1]; - I[2] = Si0[i + 2]; - I[3] = Si0[i + 3]; - - Sr0[i] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr0[i + 1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr0[i + 2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr0[i + 3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[i] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si0[i + 1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si0[i + 2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si0[i + 3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - - // ÄæÐò - n = n / 4; - r = r / 2; - Sr1 = Sr0 + n; - Si1 = Si0 + n; - Sr2 = Sr1 + n; - Si2 = Si1 + n; - Sr3 = Sr2 + n; - Si3 = Si2 + n; - - if (shift) - { - if (r == 9) - { - for (i = 0, j = 0; j < n; i++, j = j + 4) - { - p = Reverse[i] << 2; - if (j < p) - { - temp = Sr0[j]; - temp1 = Sr0[j + 2]; - temp2 = Sr2[j]; - temp3 = Sr2[j + 2]; - Sr0[j] = Sr0[p + 2]; - Sr0[j + 2] = Sr2[p + 2]; - Sr2[j] = Sr0[p]; - Sr2[j + 2] = Sr2[p]; - Sr0[p + 2] = temp3; - Sr2[p + 2] = temp2; - Sr0[p] = temp1; - Sr2[p] = temp; - - temp = Si0[j]; - temp1 = Si0[j + 2]; - temp2 = Si2[j]; - temp3 = Si2[j + 2]; - Si0[j] = Si0[p + 2]; - Si[j + 2] = Si2[p + 2]; - Si2[j] = Si0[p]; - Si2[j + 2] = Si2[p]; - Si0[p + 2] = temp3; - Si2[p + 2] = temp2; - Si0[p] = temp1; - Si2[p] = temp; - - temp = Sr0[j + 1]; - temp1 = Sr0[j + 3]; - temp2 = Sr2[j + 1]; - temp3 = Sr2[j + 3]; - Sr0[j + 1] = Sr1[p + 2]; - Sr0[j + 3] = Sr3[p + 2]; - Sr2[j + 1] = Sr1[p]; - Sr2[j + 3] = Sr3[p]; - Sr1[p + 2] = temp3; - Sr3[p + 2] = temp2; - Sr1[p] = temp1; - Sr3[p] = temp; - - temp = Si0[j + 1]; - temp1 = Si0[j + 3]; - temp2 = Si2[j + 1]; - temp3 = Si2[j + 3]; - Si0[j + 1] = Si1[p + 2]; - Si0[j + 3] = Si3[p + 2]; - Si2[j + 1] = Si1[p]; - Si2[j + 3] = Si3[p]; - Si1[p + 2] = temp3; - Si3[p + 2] = temp2; - Si1[p] = temp1; - Si3[p] = temp; - - temp = Sr1[j]; - temp1 = Sr1[j + 2]; - temp2 = Sr3[j]; - temp3 = Sr3[j + 2]; - Sr1[j] = Sr[p + 3]; - Sr1[j + 2] = Sr2[p + 3]; - Sr3[j] = Sr[p + 1]; - Sr3[j + 2] = Sr2[p + 1]; - Sr[p + 3] = temp3; - Sr2[p + 3] = temp2; - Sr0[p + 1] = temp1; - Sr2[p + 1] = temp; - - temp = Si1[j]; - temp1 = Si1[j + 2]; - temp2 = Si3[j]; - temp3 = Si3[j + 2]; - Si1[j] = Si[p + 3]; - Si1[j + 2] = Si2[p + 3]; - Si3[j] = Si[p + 1]; - Si3[j + 2] = Si2[p + 1]; - Si[p + 3] = temp3; - Si2[p + 3] = temp2; - Si0[p + 1] = temp1; - Si2[p + 1] = temp; - - temp = Sr1[j + 1]; - temp1 = Sr1[j + 3]; - temp2 = Sr3[j + 1]; - temp3 = Sr3[j + 3]; - Sr1[j + 1] = Sr1[p + 3]; - Sr1[j + 3] = Sr3[p + 3]; - Sr3[j + 1] = Sr1[p + 1]; - Sr3[j + 3] = Sr3[p + 1]; - Sr1[p + 3] = temp3; - Sr3[p + 3] = temp2; - Sr1[p + 1] = temp1; - Sr3[p + 1] = temp; - - temp = Si1[j + 1]; - temp1 = Si1[j + 3]; - temp2 = Si3[j + 1]; - temp3 = Si3[j + 3]; - Si1[j + 1] = Si1[p + 3]; - Si1[j + 3] = Si3[p + 3]; - Si3[j + 1] = Si1[p + 1]; - Si3[j + 3] = Si3[p + 1]; - Si1[p + 3] = temp3; - Si3[p + 3] = temp2; - Si1[p + 1] = temp1; - Si3[p + 1] = temp; - } - else if (j == p) - { - temp = Sr0[j]; - temp1 = Sr0[j + 2]; - temp2 = Sr2[j]; - temp3 = Sr2[j + 2]; - Sr0[j] = temp1; - Sr0[j + 2] = temp3; - Sr2[j] = temp; - Sr2[j + 2] = temp2; - temp = Si0[j]; - temp1 = Si0[j + 2]; - temp2 = Si2[j]; - temp3 = Si2[j + 2]; - Si0[j] = temp1; - Si0[j + 2] = temp3; - Si2[j] = temp; - Si2[j + 2] = temp2; - - temp = Sr0[j + 1]; - temp1 = Sr1[j + 2]; - temp2 = Sr2[j + 3]; - temp3 = Sr3[j]; - Sr0[j + 1] = temp1; - Sr1[j + 2] = temp2; - Sr2[j + 3] = temp3; - Sr3[j] = temp; - temp = Si0[j + 1]; - temp1 = Si1[j + 2]; - temp2 = Si2[j + 3]; - temp3 = Si3[j]; - Si0[j + 1] = temp1; - Si1[j + 2] = temp2; - Si2[j + 3] = temp3; - Si3[j] = temp; - - temp = Sr0[j + 3]; - temp1 = Sr1[j]; - temp2 = Sr2[j + 1]; - temp3 = Sr3[j + 2]; - Sr0[j + 3] = temp3; - Sr1[j] = temp; - Sr2[j + 1] = temp1; - Sr3[j + 2] = temp2; - temp = Si0[j + 3]; - temp1 = Si1[j]; - temp2 = Si2[j + 1]; - temp3 = Si3[j + 2]; - Si0[j + 3] = temp3; - Si1[j] = temp; - Si2[j + 1] = temp1; - Si3[j + 2] = temp2; - - temp = Sr1[j + 1]; - temp1 = Sr1[j + 3]; - temp2 = Sr3[j + 1]; - temp3 = Sr3[j + 3]; - Sr1[j + 1] = temp1; - Sr1[j + 3] = temp3; - Sr3[j + 1] = temp; - Sr3[j + 3] = temp2; - temp = Si1[j + 1]; - temp1 = Si1[j + 3]; - temp2 = Si3[j + 1]; - temp3 = Si3[j + 3]; - Si1[j + 1] = temp1; - Si1[j + 3] = temp3; - Si3[j + 1] = temp; - Si3[j + 3] = temp2; - } - } - } // endof if(r==9) - else - { - r = (8 - r) * 2; - for (i = 0, j = 0; j < n; i++, j = j + 4) - { - p = Reverse[i] >> r; - if (j < p) - { - temp = Sr0[j]; - temp1 = Sr0[j + 2]; - temp2 = Sr2[j]; - temp3 = Sr2[j + 2]; - Sr0[j] = Sr0[p + 2]; - Sr0[j + 2] = Sr2[p + 2]; - Sr2[j] = Sr0[p]; - Sr2[j + 2] = Sr2[p]; - Sr0[p + 2] = temp3; - Sr2[p + 2] = temp2; - Sr0[p] = temp1; - Sr2[p] = temp; - - temp = Si0[j]; - temp1 = Si0[j + 2]; - temp2 = Si2[j]; - temp3 = Si2[j + 2]; - Si0[j] = Si0[p + 2]; - Si0[j + 2] = Si2[p + 2]; - Si2[j] = Si0[p]; - Si2[j + 2] = Si2[p]; - Si0[p + 2] = temp3; - Si2[p + 2] = temp2; - Si0[p] = temp1; - Si2[p] = temp; - - temp = Sr0[j + 1]; - temp1 = Sr0[j + 3]; - temp2 = Sr2[j + 1]; - temp3 = Sr2[j + 3]; - Sr0[j + 1] = Sr1[p + 2]; - Sr0[j + 3] = Sr3[p + 2]; - Sr2[j + 1] = Sr1[p]; - Sr2[j + 3] = Sr3[p]; - Sr1[p + 2] = temp3; - Sr3[p + 2] = temp2; - Sr1[p] = temp1; - Sr3[p] = temp; - - temp = Si0[j + 1]; - temp1 = Si0[j + 3]; - temp2 = Si2[j + 1]; - temp3 = Si2[j + 3]; - Si0[j + 1] = Si1[p + 2]; - Si0[j + 3] = Si3[p + 2]; - Si2[j + 1] = Si1[p]; - Si2[j + 3] = Si3[p]; - Si1[p + 2] = temp3; - Si3[p + 2] = temp2; - Si1[p] = temp1; - Si3[p] = temp; - - temp = Sr1[j]; - temp1 = Sr1[j + 2]; - temp2 = Sr3[j]; - temp3 = Sr3[j + 2]; - Sr1[j] = Sr0[p + 3]; - Sr1[j + 2] = Sr2[p + 3]; - Sr3[j] = Sr0[p + 1]; - Sr3[j + 2] = Sr2[p + 1]; - Sr0[p + 3] = temp3; - Sr2[p + 3] = temp2; - Sr0[p + 1] = temp1; - Sr2[p + 1] = temp; - - temp = Si1[j]; - temp1 = Si1[j + 2]; - temp2 = Si3[j]; - temp3 = Si3[j + 2]; - Si1[j] = Si0[p + 3]; - Si1[j + 2] = Si2[p + 3]; - Si3[j] = Si0[p + 1]; - Si3[j + 2] = Si2[p + 1]; - Si0[p + 3] = temp3; - Si2[p + 3] = temp2; - Si0[p + 1] = temp1; - Si2[p + 1] = temp; - - temp = Sr1[j + 1]; - temp1 = Sr1[j + 3]; - temp2 = Sr3[j + 1]; - temp3 = Sr3[j + 3]; - Sr1[j + 1] = Sr1[p + 3]; - Sr1[j + 3] = Sr3[p + 3]; - Sr3[j + 1] = Sr1[p + 1]; - Sr3[j + 3] = Sr3[p + 1]; - Sr1[p + 3] = temp3; - Sr3[p + 3] = temp2; - Sr1[p + 1] = temp1; - Sr3[p + 1] = temp; - - temp = Si1[j + 1]; - temp1 = Si1[j + 3]; - temp2 = Si3[j + 1]; - temp3 = Si3[j + 3]; - Si1[j + 1] = Si1[p + 3]; - Si1[j + 3] = Si3[p + 3]; - Si3[j + 1] = Si1[p + 1]; - Si3[j + 3] = Si3[p + 1]; - Si1[p + 3] = temp3; - Si3[p + 3] = temp2; - Si1[p + 1] = temp1; - Si3[p + 1] = temp; - } - else if (j == p) - { - temp = Sr0[j]; - temp1 = Sr0[j + 2]; - temp2 = Sr2[j]; - temp3 = Sr2[j + 2]; - Sr0[j] = temp1; - Sr0[j + 2] = temp3; - Sr2[j] = temp; - Sr2[j + 2] = temp2; - temp = Si0[j]; - temp1 = Si0[j + 2]; - temp2 = Si2[j]; - temp3 = Si2[j + 2]; - Si0[j] = temp1; - Si0[j + 2] = temp3; - Si2[j] = temp; - Si2[j + 2] = temp2; - - temp = Sr0[j + 1]; - temp1 = Sr1[j + 2]; - temp2 = Sr2[j + 3]; - temp3 = Sr3[j]; - Sr0[j + 1] = temp1; - Sr1[j + 2] = temp2; - Sr2[j + 3] = temp3; - Sr3[j] = temp; - temp = Si0[j + 1]; - temp1 = Si1[j + 2]; - temp2 = Si2[j + 3]; - temp3 = Si3[j]; - Si0[j + 1] = temp1; - Si1[j + 2] = temp2; - Si2[j + 3] = temp3; - Si3[j] = temp; - - temp = Sr0[j + 3]; - temp1 = Sr1[j]; - temp2 = Sr2[j + 1]; - temp3 = Sr3[j + 2]; - Sr0[j + 3] = temp3; - Sr1[j] = temp; - Sr2[j + 1] = temp1; - Sr3[j + 2] = temp2; - temp = Si0[j + 3]; - temp1 = Si1[j]; - temp2 = Si2[j + 1]; - temp3 = Si3[j + 2]; - Si0[j + 3] = temp3; - Si1[j] = temp; - Si2[j + 1] = temp1; - Si3[j + 2] = temp2; - - temp = Sr1[j + 1]; - temp1 = Sr1[j + 3]; - temp2 = Sr3[j + 1]; - temp3 = Sr3[j + 3]; - Sr1[j + 1] = temp1; - Sr1[j + 3] = temp3; - Sr3[j + 1] = temp; - Sr3[j + 3] = temp2; - temp = Si1[j + 1]; - temp1 = Si1[j + 3]; - temp2 = Si3[j + 1]; - temp3 = Si3[j + 3]; - Si1[j + 1] = temp1; - Si1[j + 3] = temp3; - Si3[j + 1] = temp; - Si3[j + 3] = temp2; - } - } - } // endof else(r!=9) - } // endof if(Shift) - else - { - if (r == 9) - { - for (i = 0, j = 0; j < n; i++, j = j + 4) - { - p = Reverse[i] << 2; - if (j < p) - { - temp = Sr0[j]; - Sr0[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j]; - Si0[j] = Si0[p]; - Si0[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j]; - Sr1[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr1[j + 1]; - Sr1[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j]; - Si1[j] = Si0[p]; - Si0[p] = temp; - temp = Si1[j + 1]; - Si1[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j]; - Sr2[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr2[j + 1]; - Sr2[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr2[j + 2]; - Sr2[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j]; - Si2[j] = Si0[p]; - Si0[p] = temp; - temp = Si2[j + 1]; - Si2[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si2[j + 2]; - Si2[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr3[j]; - Sr3[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr3[j + 1]; - Sr3[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr3[j + 2]; - Sr3[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr3[j + 3]; - Sr3[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si3[j]; - Si3[j] = Si0[p]; - Si0[p] = temp; - temp = Si3[j + 1]; - Si3[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si3[j + 2]; - Si3[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si3[j + 3]; - Si3[j + 3] = Si3[p]; - Si3[p] = temp; - } - else if (j == p) - { - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - } - } - } - else - { - r = (8 - r) * 2; - for (i = 0, j = 0; j < n; i++, j = j + 4) - { - p = Reverse[i] >> r; - if (j < p) - { - temp = Sr0[j]; - Sr0[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j]; - Si0[j] = Si0[p]; - Si0[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j]; - Sr1[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr1[j + 1]; - Sr1[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j]; - Si1[j] = Si0[p]; - Si0[p] = temp; - temp = Si1[j + 1]; - Si1[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j]; - Sr2[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr2[j + 1]; - Sr2[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr2[j + 2]; - Sr2[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j]; - Si2[j] = Si0[p]; - Si0[p] = temp; - temp = Si2[j + 1]; - Si2[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si2[j + 2]; - Si2[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr3[j]; - Sr3[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr3[j + 1]; - Sr3[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr3[j + 2]; - Sr3[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr3[j + 3]; - Sr3[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si3[j]; - Si3[j] = Si0[p]; - Si0[p] = temp; - temp = Si3[j + 1]; - Si3[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si3[j + 2]; - Si3[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si3[j + 3]; - Si3[j + 3] = Si3[p]; - Si3[p] = temp; - } - else if (j == p) - { - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - } - } - } - } // end of else(Shift) - } - else // 2-4»ìºÏ»ùËã·¨ - { - CoffR = WeightR[18 - r]; - CoffI = WeightI[18 - r]; - WR[0] = 1; - WI[0] = 0; - Space = n / 2; - Sr0 = Sr; - SR0 = Si; - Si0 = Sr + Space; - SI0 = Si + Space; - if (shift) - { - // ÏÈ×öÒ»¼¶»ù2Ëã·¨ - for (i = 0; i < Space; i++) - { - R[0] = Sr0[i] + Si0[i]; - R[1] = Sr0[i] - Si0[i]; - I[0] = SR0[i] + SI0[i]; - I[1] = SR0[i] - SI0[i]; - Sr0[i] = R[0]; - SR0[i] = R[1] * WR[0] - I[1] * WI[0]; - - Si0[i] = I[0]; - SI0[i] = R[1] * WI[0] + I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - - i = i + 1; - R[0] = Sr0[i] + Si0[i]; - R[1] = Sr0[i] - Si0[i]; - I[0] = SR0[i] + SI0[i]; - I[1] = SR0[i] - SI0[i]; - Sr0[i] = -R[0]; - SR0[i] = -R[1] * WR[0] + I[1] * WI[0]; - - Si0[i] = -I[0]; - SI0[i] = -R[1] * WI[0] - I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - } - } - - else - { - // ÏÈ×öÒ»¼¶»ù2Ëã·¨ - for (i = 0; i < Space; i++) - { - R[0] = Sr0[i] + Si0[i]; - R[1] = Sr0[i] - Si0[i]; - I[0] = SR0[i] + SI0[i]; - I[1] = SR0[i] - SI0[i]; - Sr0[i] = R[0]; - SR0[i] = R[1] * WR[0] - I[1] * WI[0]; - - Si0[i] = I[0]; - SI0[i] = R[1] * WI[0] + I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - } - } - - r = r - 1; - // ¿ªÊ¼½øÐлù4Ëã·¨ - for (i = 0; i < r - 2; i = i + 2) - { - CoffR = WeightR[18 - r + i]; - CoffI = WeightI[18 - r + i]; - Si0 = Sr + Space; - SI0 = Si + Space; - - Stride = Space * 2; - Space = Space / 4; - StepR = CoffR; - StepI = CoffI; - - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - SR1 = SR0 + Space; - SI1 = SI0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - SR2 = SR1 + Space; - SI2 = SI1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - SR3 = SR2 + Space; - SI3 = SI2 + Space; - - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - R[0] = Sr0[j]; - R[1] = Sr1[j]; - R[2] = Sr2[j]; - R[3] = Sr3[j]; - I[0] = Si0[j]; - I[1] = Si1[j]; - I[2] = Si2[j]; - I[3] = Si3[j]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[j] = OutR[0]; - Sr1[j] = OutI[0]; - Sr2[j] = OutR[1]; - Sr3[j] = OutI[1]; - Si0[j] = OutR[2]; - Si1[j] = OutI[2]; - Si2[j] = OutR[3]; - Si3[j] = OutI[3]; - - R[0] = SR0[j]; - R[1] = SR1[j]; - R[2] = SR2[j]; - R[3] = SR3[j]; - I[0] = SI0[j]; - I[1] = SI1[j]; - I[2] = SI2[j]; - I[3] = SI3[j]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - SR0[j] = OutR[0]; - SR1[j] = OutI[0]; - SR2[j] = OutR[1]; - SR3[j] = OutI[1]; - SI0[j] = OutR[2]; - SI1[j] = OutI[2]; - SI2[j] = OutR[3]; - SI3[j] = OutI[3]; - } // end of stages - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - p = j + k; - R[0] = Sr0[p]; - R[1] = Sr1[p]; - R[2] = Sr2[p]; - R[3] = Sr3[p]; - I[0] = Si0[p]; - I[1] = Si1[p]; - I[2] = Si2[p]; - I[3] = Si3[p]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[p] = OutR[0]; - Sr1[p] = OutI[0]; - Sr2[p] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Sr3[p] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Si0[p] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si1[p] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Si2[p] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[p] = OutR[3] * WI[2] + OutI[3] * WR[2]; - - R[0] = SR0[p]; - R[1] = SR1[p]; - R[2] = SR2[p]; - R[3] = SR3[p]; - I[0] = SI0[p]; - I[1] = SI1[p]; - I[2] = SI2[p]; - I[3] = SI3[p]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - SR0[p] = OutR[0]; - SR1[p] = OutI[0]; - SR2[p] = OutR[1] * WR[0] - OutI[1] * WI[0]; - SR3[p] = OutR[1] * WI[0] + OutI[1] * WR[0]; - SI0[p] = OutR[2] * WR[1] - OutI[2] * WI[1]; - SI1[p] = OutR[2] * WI[1] + OutI[2] * WR[1]; - SI2[p] = OutR[3] * WR[2] - OutI[3] * WI[2]; - SI3[p] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } // end of stages - } - } // end of spaces - } - - Si0 = Sr + Space; - SI0 = Si + Space; - for (i = 0; i < n; i = i + 8) - { - R[0] = Sr0[i]; - R[1] = Sr0[i + 1]; - R[2] = Sr0[i + 2]; - R[3] = Sr0[i + 3]; - I[0] = Si0[i]; - I[1] = Si0[i + 1]; - I[2] = Si0[i + 2]; - I[3] = Si0[i + 3]; - - Sr0[i] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr0[i + 1] = I[0] + I[1] + I[2] + I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr0[i + 2] = R[0] + I[1] - R[2] - I[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr0[i + 3] = I[0] - R[1] - I[2] + R[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[i] = R[0] - R[1] + R[2] - R[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si0[i + 1] = I[0] - I[1] + I[2] - I[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si0[i + 2] = R[0] - I[1] - R[2] + I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si0[i + 3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - R[0] = SR0[i]; - R[1] = SR0[i + 1]; - R[2] = SR0[i + 2]; - R[3] = SR0[i + 3]; - I[0] = SI0[i]; - I[1] = SI0[i + 1]; - I[2] = SI0[i + 2]; - I[3] = SI0[i + 3]; - - SR0[i] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - SR0[i + 1] = I[0] + I[1] + I[2] + I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - SR0[i + 2] = R[0] + I[1] - R[2] - I[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - SR0[i + 3] = I[0] - R[1] - I[2] + R[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - SI0[i] = R[0] - R[1] + R[2] - R[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - SI0[i + 1] = I[0] - I[1] + I[2] - I[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - SI0[i + 2] = R[0] - I[1] - R[2] + I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - SI0[i + 3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - - // ÄæÐò - r = r / 2; - if (r == 8) // n=16384 - { - for (j = 0; j < 16384; j++) - { - k = Reverse[j] << 2; - i = j; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - - i = j + 16384; - k = k + 1; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - - i = j + 32768; - k = k + 1; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - - i = j + 49152; - k = k + 1; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - } - } // endof if(r==8) - else if (r == 7) // n=4096 - { - for (i = 0; i < 16384; i++) - { - k = Reverse[i]; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - } - } - else - { - r = (7 - r) * 2; - for (i = 0; i < n; i++) - { - k = Reverse[i] >> r; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - } - } - } -} -void IFFT4f(float *Sr, float *Si, int n, int shift) -{ - int i, j, k, r, p; - int Space; - int Stride; - double WR[3], WI[3], StepR, StepI, CoffR, CoffI; - double R[4], I[4], temp; - float *Sr0, *Si0, *Sr1, *Si1, *Sr2, *Si2, *Sr3, *Si3; - float *SR0, *SI0, *SR1, *SI1, *SR2, *SI2, *SR3, *SI3; - double OutR[4], OutI[4]; - double WeightR[16], WeightI[16]; - int Reverse[16384]; - int nn = 65536 * 4; - for (i = 0; i < 16; i++) - { - WeightR[i] = cos(-2 * PI * 1.0 / nn); - WeightI[i] = sin(-2 * PI * 1.0 / nn); - nn = nn / 2; - } - - r = 7; - for (i = 0; i < 16384; i++) - { - int k = 0; - int l = 4096; - int p = i; - for (int j = 0; j < r; j++) - { - if (p == 0) - break; - else - { - k = k + (p % 4) * l; - p = p / 4; - } - l = l / 4; - } - Reverse[i] = k; - } - - i = 1; - r = 0; - while (i < n) - { - i = i * 2; - r = r + 1; - } - - if (r % 2 == 0) // »ù4Ëã·¨ - { - Space = n / 4; - Stride = n; - Sr0 = Sr; - Si0 = Si; - if (shift == -1) - { - CoffR = WeightR[18 - r]; - CoffI = -WeightI[18 - r]; - StepR = CoffR; - StepI = CoffI; - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - R[2] = Sr0[0]; - R[3] = Sr1[0]; - R[0] = Sr2[0]; - R[1] = Sr3[0]; - I[2] = Si0[0]; - I[3] = Si1[0]; - I[0] = Si2[0]; - I[1] = Si3[0]; - - Sr0[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr3[0] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr2[0] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr1[0] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si3[0] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si2[0] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si1[0] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - R[2] = Sr0[k]; - R[3] = Sr1[k]; - R[0] = Sr2[k]; - R[1] = Sr3[k]; - I[2] = Si0[k]; - I[3] = Si1[k]; - I[0] = Si2[k]; - I[1] = Si3[k]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[3] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[1] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[3] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[1] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[k] = OutR[0]; - Si0[k] = OutI[0]; - Sr1[k] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Si1[k] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Sr2[k] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si2[k] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Sr3[k] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[k] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } - } // end of spaces - Space = Space / 4; - Stride = Stride / 4; - } - else if (shift == 1) - { - CoffR = WeightR[18 - r]; - CoffI = -WeightI[18 - r]; - StepR = CoffR; - StepI = CoffI; - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - R[0] = Sr0[0]; - R[1] = Sr1[0]; - R[2] = Sr2[0]; - R[3] = Sr3[0]; - I[0] = Si0[0]; - I[1] = Si1[0]; - I[2] = Si2[0]; - I[3] = Si3[0]; - - Sr0[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr3[0] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr2[0] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr1[0] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si3[0] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si2[0] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si1[0] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - if (k % 2 == 0) - { - R[0] = Sr0[k]; - R[1] = Sr1[k]; - R[2] = Sr2[k]; - R[3] = Sr3[k]; - I[0] = Si0[k]; - I[1] = Si1[k]; - I[2] = Si2[k]; - I[3] = Si3[k]; - } - else - { - R[0] = -Sr0[k]; - R[1] = -Sr1[k]; - R[2] = -Sr2[k]; - R[3] = -Sr3[k]; - I[0] = -Si0[k]; - I[1] = -Si1[k]; - I[2] = -Si2[k]; - I[3] = -Si3[k]; - } - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[3] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[1] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[3] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[1] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[k] = OutR[0]; - Si0[k] = OutI[0]; - Sr1[k] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Si1[k] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Sr2[k] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si2[k] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Sr3[k] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[k] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } - } // end of spaces - Space = Space / 4; - Stride = Stride / 4; - } - else - { - CoffR = WeightR[18 - r]; - CoffI = -WeightI[18 - r]; - StepR = CoffR; - StepI = CoffI; - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - R[0] = Sr0[0]; - R[1] = Sr1[0]; - R[2] = Sr2[0]; - R[3] = Sr3[0]; - I[0] = Si0[0]; - I[1] = Si1[0]; - I[2] = Si2[0]; - I[3] = Si3[0]; - - Sr0[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr3[0] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr2[0] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr1[0] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si3[0] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si2[0] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si1[0] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - R[0] = Sr0[k]; - R[1] = Sr1[k]; - R[2] = Sr2[k]; - R[3] = Sr3[k]; - I[0] = Si0[k]; - I[1] = Si1[k]; - I[2] = Si2[k]; - I[3] = Si3[k]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[3] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[1] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[3] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[1] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[k] = OutR[0]; - Si0[k] = OutI[0]; - Sr1[k] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Si1[k] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Sr2[k] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si2[k] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Sr3[k] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[k] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } - } // end of spaces - Space = Space / 4; - Stride = Stride / 4; - } - - for (i = 2; i < r - 2; i = i + 2) // ½×Êý - { - CoffR = WeightR[18 - r + i]; - CoffI = -WeightI[18 - r + i]; - StepR = CoffR; - StepI = CoffI; - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - R[0] = Sr0[j]; - R[1] = Sr1[j]; - R[2] = Sr2[j]; - R[3] = Sr3[j]; - I[0] = Si0[j]; - I[1] = Si1[j]; - I[2] = Si2[j]; - I[3] = Si3[j]; - - Sr0[j] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr3[j] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr2[j] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr1[j] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[j] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si3[j] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si2[j] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si1[j] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } // end of stages - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - p = j + k; - R[0] = Sr0[p]; - R[1] = Sr1[p]; - R[2] = Sr2[p]; - R[3] = Sr3[p]; - I[0] = Si0[p]; - I[1] = Si1[p]; - I[2] = Si2[p]; - I[3] = Si3[p]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[3] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[1] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[3] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[1] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[p] = OutR[0]; - Si0[p] = OutI[0]; - Sr1[p] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Si1[p] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Sr2[p] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si2[p] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Sr3[p] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[p] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } // end of stages - } - } // end of spaces - Space = Space / 4; - Stride = Stride / 4; - } - - for (i = 0; i < n; i = i + 4) - { - R[0] = Sr0[i] / n; - R[1] = Sr0[i + 1] / n; - R[2] = Sr0[i + 2] / n; - R[3] = Sr0[i + 3] / n; - I[0] = Si0[i] / n; - I[1] = Si0[i + 1] / n; - I[2] = Si0[i + 2] / n; - I[3] = Si0[i + 3] / n; - - Sr0[i] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr0[i + 3] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr0[i + 2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr0[i + 1] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[i] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si0[i + 3] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si0[i + 2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si0[i + 1] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - - // ÄæÐò - n = n / 4; - r = r / 2; - Sr1 = Sr0 + n; - Si1 = Si0 + n; - Sr2 = Sr1 + n; - Si2 = Si1 + n; - Sr3 = Sr2 + n; - Si3 = Si2 + n; - if (r == 9) - { - for (i = 0, j = 0; j < n; i++, j = j + 4) - { - p = Reverse[i] << 2; - if (j < p) - { - temp = Sr0[j]; - Sr0[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j]; - Si0[j] = Si0[p]; - Si0[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j]; - Sr1[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr1[j + 1]; - Sr1[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j]; - Si1[j] = Si0[p]; - Si0[p] = temp; - temp = Si1[j + 1]; - Si1[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j]; - Sr2[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr2[j + 1]; - Sr2[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr2[j + 2]; - Sr2[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j]; - Si2[j] = Si0[p]; - Si0[p] = temp; - temp = Si2[j + 1]; - Si2[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si2[j + 2]; - Si2[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr3[j]; - Sr3[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr3[j + 1]; - Sr3[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr3[j + 2]; - Sr3[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr3[j + 3]; - Sr3[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si3[j]; - Si3[j] = Si0[p]; - Si0[p] = temp; - temp = Si3[j + 1]; - Si3[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si3[j + 2]; - Si3[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si3[j + 3]; - Si3[j + 3] = Si3[p]; - Si3[p] = temp; - } - else if (j == p) - { - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - } - } - } - else - { - r = (8 - r) * 2; - for (i = 0, j = 0; j < n; i++, j = j + 4) - { - p = Reverse[i] >> r; - if (j < p) - { - temp = Sr0[j]; - Sr0[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j]; - Si0[j] = Si0[p]; - Si0[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j]; - Sr1[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr1[j + 1]; - Sr1[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j]; - Si1[j] = Si0[p]; - Si0[p] = temp; - temp = Si1[j + 1]; - Si1[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j]; - Sr2[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr2[j + 1]; - Sr2[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr2[j + 2]; - Sr2[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j]; - Si2[j] = Si0[p]; - Si0[p] = temp; - temp = Si2[j + 1]; - Si2[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si2[j + 2]; - Si2[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr3[j]; - Sr3[j] = Sr0[p]; - Sr0[p] = temp; - temp = Sr3[j + 1]; - Sr3[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr3[j + 2]; - Sr3[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr3[j + 3]; - Sr3[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si3[j]; - Si3[j] = Si0[p]; - Si0[p] = temp; - temp = Si3[j + 1]; - Si3[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si3[j + 2]; - Si3[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si3[j + 3]; - Si3[j + 3] = Si3[p]; - Si3[p] = temp; - } - else if (j == p) - { - temp = Sr0[j + 1]; - Sr0[j + 1] = Sr1[p]; - Sr1[p] = temp; - temp = Sr0[j + 2]; - Sr0[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr0[j + 3]; - Sr0[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si0[j + 1]; - Si0[j + 1] = Si1[p]; - Si1[p] = temp; - temp = Si0[j + 2]; - Si0[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si0[j + 3]; - Si0[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr1[j + 2]; - Sr1[j + 2] = Sr2[p]; - Sr2[p] = temp; - temp = Sr1[j + 3]; - Sr1[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si1[j + 2]; - Si1[j + 2] = Si2[p]; - Si2[p] = temp; - temp = Si1[j + 3]; - Si1[j + 3] = Si3[p]; - Si3[p] = temp; - - p = p + 1; - temp = Sr2[j + 3]; - Sr2[j + 3] = Sr3[p]; - Sr3[p] = temp; - temp = Si2[j + 3]; - Si2[j + 3] = Si3[p]; - Si3[p] = temp; - } - } - } - } - else // 2-4»ìºÏ»ùËã·¨ - { - CoffR = WeightR[18 - r]; - CoffI = WeightI[18 - r]; - WR[0] = 1; - WI[0] = 0; - Space = n / 2; - Sr0 = Sr; - SR0 = Si; - Si0 = Sr + Space; - SI0 = Si + Space; - - if (shift == -1) - { - // ÏÈ×öÒ»¼¶»ù2Ëã·¨ - for (i = 0; i < Space; i++) - { - R[0] = Si0[i] + Sr0[i]; - R[1] = Si0[i] - Sr0[i]; - I[0] = SI0[i] + SR0[i]; - I[1] = SI0[i] - SR0[i]; - Sr0[i] = R[0]; - SR0[i] = R[1] * WR[0] + I[1] * WI[0]; - - Si0[i] = -I[0]; - SI0[i] = R[1] * WI[0] - I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - } - } - else if (shift == 1) - { - // ÏÈ×öÒ»¼¶»ù2Ëã·¨ - for (i = 0; i < Space; i++) - { - R[0] = Sr0[i] + Si0[i]; - R[1] = Sr0[i] - Si0[i]; - I[0] = SR0[i] + SI0[i]; - I[1] = SR0[i] - SI0[i]; - Sr0[i] = R[0]; - SR0[i] = R[1] * WR[0] + I[1] * WI[0]; - - Si0[i] = -I[0]; - SI0[i] = R[1] * WI[0] - I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - - i = i + 1; - R[0] = Sr0[i] + Si0[i]; - R[1] = Si0[i] - Sr0[i]; - I[0] = SR0[i] + SI0[i]; - I[1] = SI0[i] - SR0[i]; - Sr0[i] = -R[0]; - SR0[i] = R[1] * WR[0] + I[1] * WI[0]; - - Si0[i] = I[0]; - SI0[i] = R[1] * WI[0] - I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - } - } - - else - { - // ÏÈ×öÒ»¼¶»ù2Ëã·¨ - for (i = 0; i < Space; i++) - { - R[0] = Sr0[i] + Si0[i]; - R[1] = Sr0[i] - Si0[i]; - I[0] = SR0[i] + SI0[i]; - I[1] = SR0[i] - SI0[i]; - Sr0[i] = R[0]; - SR0[i] = R[1] * WR[0] + I[1] * WI[0]; - - Si0[i] = -I[0]; - SI0[i] = R[1] * WI[0] - I[1] * WR[0]; - - temp = WR[0] * CoffR - WI[0] * CoffI; - WI[0] = WR[0] * CoffI + WI[0] * CoffR; - WR[0] = temp; - } - } - - r = r - 1; - // ¿ªÊ¼½øÐлù4Ëã·¨ - for (i = 0; i < r - 2; i = i + 2) - { - CoffR = WeightR[18 - r + i]; - CoffI = WeightI[18 - r + i]; - Si0 = Sr + Space; - SI0 = Si + Space; - Stride = Space * 2; - Space = Space / 4; - StepR = CoffR; - StepI = CoffI; - - Sr1 = Sr0 + Space; - Si1 = Si0 + Space; - SR1 = SR0 + Space; - SI1 = SI0 + Space; - Sr2 = Sr1 + Space; - Si2 = Si1 + Space; - SR2 = SR1 + Space; - SI2 = SI1 + Space; - Sr3 = Sr2 + Space; - Si3 = Si2 + Space; - SR3 = SR2 + Space; - SI3 = SI2 + Space; - - for (k = 0; k < Space; k++) // ÿһ¼¶ÄÚµûʽÔËËãÊýÄ¿(n/4,n/16,n/32...) - { - if (k == 0) - { - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - R[0] = Sr0[j]; - R[1] = Sr1[j]; - R[2] = Sr2[j]; - R[3] = Sr3[j]; - I[0] = Si0[j]; - I[1] = Si1[j]; - I[2] = Si2[j]; - I[3] = Si3[j]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[j] = OutR[0]; - Sr1[j] = OutI[0]; - Sr2[j] = OutR[1]; - Sr3[j] = OutI[1]; - Si0[j] = OutR[2]; - Si1[j] = OutI[2]; - Si2[j] = OutR[3]; - Si3[j] = OutI[3]; - - R[0] = SR0[j]; - R[1] = SR1[j]; - R[2] = SR2[j]; - R[3] = SR3[j]; - I[0] = SI0[j]; - I[1] = SI1[j]; - I[2] = SI2[j]; - I[3] = SI3[j]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - SR0[j] = OutR[0]; - SR1[j] = OutI[0]; - SR2[j] = OutR[1]; - SR3[j] = OutI[1]; - SI0[j] = OutR[2]; - SI1[j] = OutI[2]; - SI2[j] = OutR[3]; - SI3[j] = OutI[3]; - } // end of stages - } - else - { - WR[0] = CoffR; - WI[0] = CoffI; - WR[1] = WR[0] * CoffR - WI[0] * CoffI; - WI[1] = WR[0] * CoffI + WI[0] * CoffR; - WR[2] = WR[1] * CoffR - WI[1] * CoffI; - WI[2] = WR[1] * CoffI + WI[1] * CoffR; - temp = CoffR * StepR - CoffI * StepI; - CoffI = CoffR * StepI + CoffI * StepR; - CoffR = temp; - for (j = 0; j < n; j += Stride) // ÿһ½×ÄÚÔËË㼶Êý(1,4,8,16...) - { - p = j + k; - R[0] = Sr0[p]; - R[1] = Sr1[p]; - R[2] = Sr2[p]; - R[3] = Sr3[p]; - I[0] = Si0[p]; - I[1] = Si1[p]; - I[2] = Si2[p]; - I[3] = Si3[p]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - Sr0[p] = OutR[0]; - Sr1[p] = OutI[0]; - Sr2[p] = OutR[1] * WR[0] - OutI[1] * WI[0]; - Sr3[p] = OutR[1] * WI[0] + OutI[1] * WR[0]; - Si0[p] = OutR[2] * WR[1] - OutI[2] * WI[1]; - Si1[p] = OutR[2] * WI[1] + OutI[2] * WR[1]; - Si2[p] = OutR[3] * WR[2] - OutI[3] * WI[2]; - Si3[p] = OutR[3] * WI[2] + OutI[3] * WR[2]; - - R[0] = SR0[p]; - R[1] = SR1[p]; - R[2] = SR2[p]; - R[3] = SR3[p]; - I[0] = SI0[p]; - I[1] = SI1[p]; - I[2] = SI2[p]; - I[3] = SI3[p]; - - OutR[0] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - OutR[1] = R[0] + I[1] - R[2] - I[3]; // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - OutR[2] = R[0] - R[1] + R[2] - R[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - OutR[3] = R[0] - I[1] - R[2] + I[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - OutI[0] = I[0] + I[1] + I[2] + I[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - OutI[1] = I[0] - R[1] - I[2] + R[3]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - OutI[2] = I[0] - I[1] + I[2] - I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - OutI[3] = I[0] + R[1] - I[2] - R[3]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - SR0[p] = OutR[0]; - SR1[p] = OutI[0]; - SR2[p] = OutR[1] * WR[0] - OutI[1] * WI[0]; - SR3[p] = OutR[1] * WI[0] + OutI[1] * WR[0]; - SI0[p] = OutR[2] * WR[1] - OutI[2] * WI[1]; - SI1[p] = OutR[2] * WI[1] + OutI[2] * WR[1]; - SI2[p] = OutR[3] * WR[2] - OutI[3] * WI[2]; - SI3[p] = OutR[3] * WI[2] + OutI[3] * WR[2]; - } // end of stages - } - } // end of spaces - } - - Si0 = Sr + Space; - SI0 = Si + Space; - for (i = 0; i < n; i = i + 8) - { - R[0] = Sr0[i] / n; - R[1] = Sr0[i + 1] / n; - R[2] = Sr0[i + 2] / n; - R[3] = Sr0[i + 3] / n; - I[0] = Si0[i] / n; - I[1] = Si0[i + 1] / n; - I[2] = Si0[i + 2] / n; - I[3] = Si0[i + 3] / n; - - Sr0[i] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - Sr0[i + 1] = -(I[0] + I[1] + I[2] + I[3]); // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - Sr0[i + 2] = R[0] + I[1] - R[2] - I[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - Sr0[i + 3] = R[1] - I[0] + I[2] - R[3]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - Si0[i] = R[0] - R[1] + R[2] - R[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - Si0[i + 1] = I[1] - I[0] + I[3] - I[2]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - Si0[i + 2] = R[0] - I[1] - R[2] + I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - Si0[i + 3] = I[2] + R[3] - I[0] - R[1]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - - R[0] = SR0[i] / n; - R[1] = SR0[i + 1] / n; - R[2] = SR0[i + 2] / n; - R[3] = SR0[i + 3] / n; - I[0] = SI0[i] / n; - I[1] = SI0[i + 1] / n; - I[2] = SI0[i + 2] / n; - I[3] = SI0[i + 3] / n; - - SR0[i] = R[0] + R[1] + R[2] + R[3]; // OutR[0]=(R[0]+R[2])+(R[1]+R[3]); - SR0[i + 1] = -(I[0] + I[1] + I[2] + I[3]); // OutR[1]=(R[0]-R[2])+(I[1]-I[3]); - SR0[i + 2] = R[0] + I[1] - R[2] - I[3]; // OutR[2]=(R[0]+R[2])-(R[1]+R[3]); - SR0[i + 3] = I[2] - R[3] - I[0] + R[1]; // OutR[3]=(R[0]-R[2])-(I[1]-I[3]); - - SI0[i] = R[0] - R[1] + R[2] - R[3]; // OutI[0]=(I[0]+I[2])+(I[1]+I[3]); - SI0[i + 1] = I[1] - I[0] + I[3] - I[2]; // OutI[1]=(I[0]-I[2])-(R[1]-R[3]); - SI0[i + 2] = R[0] - I[1] - R[2] + I[3]; // OutI[2]=(I[0]+I[2])-(I[1]+I[3]); - SI0[i + 3] = I[2] + R[3] - I[0] - R[1]; // OutI[3]=(I[0]-I[2])+(R[1]-R[3]); - } - - // ÄæÐò - r = r / 2; - if (r == 8) // n=16384 - { - for (j = 0; j < 16384; j++) - { - k = Reverse[j] << 2; - i = j; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - - i = j + 16384; - k = k + 1; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - - i = j + 32768; - k = k + 1; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - - i = j + 49152; - k = k + 1; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - } - } // endof if(r==8) - else if (r == 7) // n=4096 - { - for (i = 0; i < 16384; i++) - { - k = Reverse[i]; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - } - } - else - { - r = (7 - r) * 2; - for (i = 0; i < n; i++) - { - k = Reverse[i] >> r; - if (i < k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[1] = Sr[2 * k]; - I[1] = Sr[2 * k + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - R[3] = Si[2 * k]; - I[3] = Si[2 * k + 1]; - - Sr[2 * i] = R[1]; - Sr[2 * i + 1] = R[3]; - Sr[2 * k] = R[0]; - Sr[2 * k + 1] = R[2]; - Si[2 * i] = I[1]; - Si[2 * i + 1] = I[3]; - Si[2 * k] = I[0]; - Si[2 * k + 1] = I[2]; - } - else if (i == k) - { - R[0] = Sr[2 * i]; - I[0] = Sr[2 * i + 1]; - R[2] = Si[2 * i]; - I[2] = Si[2 * i + 1]; - Sr[2 * i] = R[0]; - Sr[2 * i + 1] = R[2]; - Si[2 * i] = I[0]; - Si[2 * i + 1] = I[2]; - } - } - } - } -} -// Ñ­»·Æ«ÒÆ£¬Æ«ÒÆÁ¿Îªpianyi£¬ÕýÓÒÒÆ£¬¸º×óÒÆ -void cirshift(float *data_r, float *data_i, int length, int pianyi) -{ - int i, j; - float *temp; - temp = new float[length]; - for (i = 0; i < length; i++) - { - temp[i] = data_r[i]; - } - for (i = 0; i < length; i++) - { - j = i - pianyi; - j = ((j + length) % length); // Ñ­»· - data_r[i] = temp[j]; - } - for (i = 0; i < length; i++) - { - temp[i] = data_i[i]; - } - for (i = 0; i < length; i++) - { - j = i - pianyi; - j = ((j + length) % length); // Ñ­»· - data_i[i] = temp[j]; - } - - delete[] temp; -} \ No newline at end of file diff --git a/master/html/_static/hrrp/FFT4f.h b/master/html/_static/hrrp/FFT4f.h deleted file mode 100644 index b7706318..00000000 --- a/master/html/_static/hrrp/FFT4f.h +++ /dev/null @@ -1,12 +0,0 @@ -#ifndef FFT4F_H -#define FFT4F_H - -#define PI 3.1415926535897 -#define LC 299.792458 - -#define UINT64 double - -void FFT4f(float *Sr, float *Si, int n, int shift); -void IFFT4f(float *Sr, float *Si, int n, int shift); -void cirshift(float *data_r,float *data_i,int length,int pianyi); -#endif diff --git a/master/html/_static/hrrp/Keystone.cpp b/master/html/_static/hrrp/Keystone.cpp deleted file mode 100644 index 4b4ad377..00000000 --- a/master/html/_static/hrrp/Keystone.cpp +++ /dev/null @@ -1,908 +0,0 @@ - -// KeystoneDlg.cpp : ?????? -// -#include "stdlib.h" -#include "math.h" -#include "stdio.h" -#include "string.h" -#include "FFT4f.h" - -////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// -////////////////////////////////////////////////////////////////////////// ????????Keystone??? ??? -int Get2intm(int intnumb) -{ - float nn= ceilf(log10(float(intnumb))/log10(2.0)); - return(pow(float(2.0),float(nn))); -} -void stoltsun(float *a_in, float *a_value, int a_size, float *b_in, int b_size, float *b_value) -{ - - int n,m,m1,n1,n2,i,j,k; - float z,h1,h2,h3,h4; - float *b,*h,*dy,*s2,*s,*e; - m=b_size; - while (b_in[0]a_in[a_size-1]) - { - m=m-1; - } - //m2=m;//m??????????????? - n=a_size; - n1=n-1; - n2=n-2; - - - h=new float[n1]; - dy=new float[n1]; - s2=new float[n]; - s=new float[n1]; - e=new float[n2]; - - - for( i=0;i0;i--) - { - k=i-1; - s2[i]=s[k]*s2[i+1]+e[k]; - } - - - for( i=0;ia_in[i]) - { - k=i;i=i+1; - } - h1=b_in[j]-a_in[k]; - h2=b_in[j]-a_in[i]; - h3=h1*h2; - h4=s2[k]+h1*s[k]; - z=(s2[i]+s2[k]+h4)/6.0; - - b_value[j+m1]=a_value[k]+h1*dy[k]+h3*z; - } - - for( i=0;i a_in[a_size - 1]) - { - m = m - 1; - } - //m2=m;//m??????????????? - n = a_size; - n1 = n - 1; - n2 = n - 2; - - - h = new float[n1]; - dy = new float[n1]; - s2 = new float[n]; - s = new float[n1]; - e = new float[n2]; - - - for (i = 0; i < n1; i++) - { - h[i] = a_in[i + 1] - a_in[i]; - dy[i] = (a_value[i + 1] - a_value[i]) / h[i]; - } - s2[0] = 0; - s2[n - 1] = 0; - for (i = 1; i < n1; i++) - { - s2[i] = 6.0 * (dy[i] - dy[i - 1]); - } - z = 0.5 / (h[0] + h[1]); - s[0] = -h[1] * z; - e[0] = s2[1] * z; - for (i = 1; i < n2; i++) - { - k = i - 1; - j = i + 1; - z = 1 / (2 * (h[i] + h[j]) + h[i] * s[k]); - s[i] = -h[j] * z; - e[i] = (s2[j] - h[i] * e[k]) * z; - } - s2[n1 - 1] = e[n2 - 1]; - for (i = n2 - 1; i > 0; i--) - { - k = i - 1; - s2[i] = s[k] * s2[i + 1] + e[k]; - } - - //if(num==200) - //{ - // FILE* datar; - // datar = fopen("E:\\7004\\6678\\S2.dat", "wb"); - - // fwrite(s2, 4, a_size, datar); - - // fclose(datar);//gqy - - //} - - - for (i = 0; i < n1; i++) - { - s[i] = (s2[i + 1] - s2[i]) / (a_in[i + 1] - a_in[i]); - } - - i = 1; k = 0; - - for (j = 0; j < m; j++) - { - while (b_in[j] > a_in[i]) - { - k = i; i = i + 1; - } - h1 = b_in[j] - a_in[k]; - h2 = b_in[j] - a_in[i]; - h3 = h1 * h2; - h4 = s2[k] + h1 * (s2[i] - s2[k]) / (a_in[i] - a_in[k]); - z = (s2[i] + s2[k] + h4) / 6.0; - - b_value[j + m1] = a_value[k] + h1 * (a_value[i] - a_value[k]) / (a_in[i] - a_in[k]) + h3 * z; - } - - for (i = 0; i < m1; i++) - b_value[i] = 0; - - for (i = m1 + m; i < b_size; i++) - b_value[i] = 0; - - delete[]h; - delete[]dy; - delete[]s2; - delete[]s; - delete[]e; -} -// data?????????????????(?§Ö???????2????)?????????(?§Ö??????????2????? -void Keystone_interp(float **data_r,float **data_i,int fwn,int jln, float f0,float fs,float B,int moshuzhouqishu) -{ - int i,j,k; - int rnfft; - double sigma; - int wuxiaodiansujl; - float *tempr,*tempi,*tempf; - float *xold,*xnew; - int fwn_8; - fwn_8=(fwn+7)/8*8; - xold = new float[fwn_8]; - xnew = new float[fwn_8]; - - - rnfft=Get2intm(jln); - - //?????? - tempr = new float[fwn_8]; - tempi = new float[fwn_8]; - tempf = new float[fwn_8]; - - //???§Ò????????? - if (rnfft>jln) - { - for (i=0;i>3)<<3;//?????DSP??? - if(wuxiaodiansujl<0) wuxiaodiansujl=0; - double angle[400]; - double br[400]; - double bi[400]; - /*double angle[525]; - double br[525]; - double bi[525];*/ - //wuxiaodiansujl=504; - for (i = wuxiaodiansujl; i < rnfft - wuxiaodiansujl; i++)//?????????? - { - double pindian = (i - 0.5 * rnfft) * fs / rnfft; - for (j = 0; j < fwn; j++) - { - angle[j] = -2 * PI * moshuzhouqishu * j * pindian / f0; - br[j] = cos(angle[j]); - bi[j] = sin(angle[j]); - tempr[j] = br[j] * data_r[j][i] - bi[j] * data_i[j][i]; - tempi[j] = br[j] * data_i[j][i] + bi[j] * data_r[j][i]; - } - for (j = fwn; j < fwn_8; j++) - { - tempr[j] = 0; - tempi[j] = 0; - } - - - sigma = (f0 + (i - rnfft * 0.5) * fs / rnfft) / f0; // - - // real - for (j=0;ja[i]) - { - fmax=a[i]; - maxpos=i; - } - } - return maxpos; -} - -// ???hrrp??????? -float Gethrrp_v2shang(float *x,int n) -{ - double sum=0; - for (int i = 0; i < n; i++) - { - sum = sum + x[i]*x[i]; - } - if (sum>1e-10) - { - double shang = 0; - for (int i = 0; i < n; i++) - { - double t = x[i]/sum; - shang = shang -t*log(t); - } - return shang; - } - else - { - return 0; - } -} - -/************????float???**************************/ -float Getmean_float(float *x, int n) -{ - if (n > 0) - { - /*??????*/ - double y = 1.0 / (double)(n); - /*???*/ - double z = 0; - for (int i = 0; i < n; i++) - { - z = z + y * x[i]; - } - /*????*/ - return (float)z; - } - /*??????*/ - else - { - return 301; - } -} - -/*/ *h ??????????*/ -/*/ *N ???????*/ -/*/ param2 ??????? ??? 20 ~50 */ -void TaiLeWindow(float *h, int N, float param2) -{ - N = N>0?N:1; - int i; - int nLevel; - float nsll; - nLevel = 5; - /*??????*/ - if (param2 <13.0) - { - nsll = 45; - } - else - { - nsll = param2; - } - /*??????*/ - float *m_dFm; - /*???????*/ - double mB = pow(10.0, nsll / 20.0); - double mA = log(mB + sqrt(mB * mB - 1.0)) / PI; - double msquaQ = nLevel * nLevel / (mA * mA + (nLevel - 0.5) * (nLevel - 0.5)); - m_dFm = (float *)calloc(nLevel, sizeof(float)); - double mtmpa; - double mtmpb; - /*????????*/ - for (int m = 0; m < nLevel - 1; m++) - { - mtmpa = 1; - mtmpb = 1; - for (i = 0; i < nLevel - 1; i++) - { - mtmpa *= (1 - (m + 1.0) * (m + 1.0) / (msquaQ * (mA * mA + (i + 0.5) * (i + 0.5)))); - if (m == i) - continue; - mtmpb *= (1 - (m + 1) * (m + 1) / ((i + 1.0) * (i + 1.0))); - } - /*?????????*/ - m_dFm[m] = (float)(pow((-1.0), (m + 2.0)) * mtmpa / (2.0 * mtmpb)); - } - /*???????*/ - for (i = 0; i < N; i++) - { - double dwin = 0; - for (int m = 0; m < nLevel - 1; m++) - { - dwin += m_dFm[m] * cos(2.0 * PI * (m + 1) * (i - N / 2.0 + 0.5) / (float)(N)); //..(i+1-N/2.0+0.5)/N) - } - h[i] = (float)(1 + 2.0 * dwin); - } - /*??????*/ - free(m_dFm); - m_dFm = NULL; - /*???*/ - float mean = Getmean_float(h, N); - //float fMax=GetMaxValue(h, N); - /*?????*/ - if (fabs(mean)<1e-15) - { - - } - else - { - for (i = 0; i < N; i++) - { - h[i] = h[i] / mean; - } - } -} - -// ??????????hrrp?? -// ?????????????????? ????? -void Gethrrp_v3(float **dr,float **di,int hangmc,int liejln,float *hrrp) -{ - float *ar,*ai; - float *fd; - float *mchtr; - mchtr = new float[hangmc]; - int afftn = Get2intm(hangmc); - ar = new float[afftn]; - ai = new float[afftn]; - fd = new float[afftn]; -/////////////???4 ????¦Ë??hrrp - TaiLeWindow(mchtr,hangmc,50); - - for (int i = 0; i < liejln; i++) - { - for (int j=0;j \[scale = \frac{max\_val - min\_val}{quant\_max - quant\_min}\]

    +\[zp\_from\_min = quant\_min - \frac{min\_val}{scale}\]
    +
    +\[nudge\_zp = \text{round} \left( \min \left( quant\_max, \max \left( quant\_min, zp\_from\_min \right) \right) \right)\]
    +
    +\[nudge\_min = (quant\_min - nudge\_zp) \times scale\]
    +
    +\[nudge\_max = (quant\_max - nudge\_zp) \times scale\]
    +
    \[output_i = \left( \text{round} \left( \frac{\text{clamp}(input_i, nudge\_min, nudge\_max) - nudge\_min}{scale} \right) \right) \times scale + nudge\_min\]
    -
    -
    输入：

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