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b/master/doctrees/refdoc/mindspore.doctree differ diff --git a/master/doctrees/refdoc/signal_scheduling.doctree b/master/doctrees/refdoc/signal_scheduling.doctree index 211b96a3..76c0f789 100644 Binary files a/master/doctrees/refdoc/signal_scheduling.doctree and b/master/doctrees/refdoc/signal_scheduling.doctree differ diff --git a/master/html/_sources/functionlib/dsplib/fake_quant_with_min_max_vars.rst.txt b/master/html/_sources/functionlib/dsplib/fake_quant_with_min_max_vars.rst.txt index 4aca1c3f..7c35a2d9 100644 --- a/master/html/_sources/functionlib/dsplib/fake_quant_with_min_max_vars.rst.txt +++ b/master/html/_sources/functionlib/dsplib/fake_quant_with_min_max_vars.rst.txt @@ -1,5 +1,5 @@ FakeQuantWithMinMaxVars -======================= +=========================== å¯¹è¾“å…¥æ•°æ®æ‰§è¡Œé€å…ƒç´ ä¼ªé‡åŒ–è¿ç®—。该算å­é€šè¿‡ç»™å®šçš„æœ€å°/最大值(min_val/max_val)计算缩放因å­ï¼ˆscale)和零点(zero_point),将浮点输入模拟é‡åŒ–到指定的整数范围(quant_min/quant_max),然åŽå†å°†å…¶åé‡åŒ–回浮点数。 @@ -7,18 +7,43 @@ FakeQuantWithMinMaxVars scale = \frac{max\_val - min\_val}{quant\_max - quant\_min} +.. math:: + + zp\_from\_min = quant\_min - \frac{min\_val}{scale} + +.. math:: + + nudge\_zp = \text{round} \left( \min \left( quant\_max, \max \left( quant\_min, zp\_from\_min \right) \right) \right) + +.. math:: + + nudge\_min = (quant\_min - nudge\_zp) \times scale + +.. math:: + + nudge\_max = (quant\_max - nudge\_zp) \times scale + .. math:: output_i = \left( \text{round} \left( \frac{\text{clamp}(input_i, nudge\_min, nudge\_max) - nudge\_min}{scale} \right) \right) \times scale + nudge\_min +对称é‡åŒ–(symmetric 为 true 时): + +.. math:: + + max\_val = \max(-min\_val, max\_val), \quad min\_val = -max\_val + 输入: - **src** - 输入数æ®åœ°å€ã€‚ - **min_val** - 浮点范围的最å°å€¼ã€‚ - **max_val** - 浮点范围的最大值。 - - **length** - 计算长度。 - - **quant_min** - é‡åŒ–åŽçš„æ•´æ•°æœ€å°å€¼ï¼ˆä¾‹å¦‚ 0 或 -128)。 - - **quant_max** - é‡åŒ–åŽçš„æ•´æ•°æœ€å¤§å€¼ï¼ˆä¾‹å¦‚ 255 或 127)。 - - **symmetric** - 是å¦ä½¿ç”¨å¯¹ç§°é‡åŒ–(bool 类型)。若为 true,则范围调整为关于 0 对称。 + - **params** - 傿•°æ•°ç»„,包å«ä»¥ä¸‹å…ƒç´ ï¼š + + - ``params[0]`` - 计算长度(length)。 + - ``params[1]`` - quant_min,é‡åŒ–åŽçš„æ•´æ•°æœ€å°å€¼ï¼ˆä¾‹å¦‚ 0 或 -128)。 + - ``params[2]`` - quant_max,é‡åŒ–åŽçš„æ•´æ•°æœ€å¤§å€¼ï¼ˆä¾‹å¦‚ 255 或 127)。 + - ``params[3]`` - symmetric,是å¦ä½¿ç”¨å¯¹ç§°é‡åŒ–(bool 类型)。若为 true,则范围调整为关于 0 对称。 + - **core_mask(int, å¯é€‰)** - 核掩ç ï¼ˆä»…适用于共享存储版本)。 输出: @@ -35,52 +60,61 @@ FakeQuantWithMinMaxVars **共享存储版本:** -.. c:function:: void fp_fake_quant_with_min_max_vars_s(float* src, float min_val, float max_val, float* output, int length, int quant_min, int quant_max, bool symmetric, int core_mask) -.. c:function:: 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) +.. c:function:: void fp_fake_quant_with_min_max_vars_s(float* src, float* output, float min_val, float max_val, long long* params, int core_mask) +.. c:function:: 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) **C调用示例:** .. code-block:: c :linenos: - :emphasize-lines: 13 + :emphasize-lines: 17 - // FT78NE 示例:fp32 类型共享存储多核计算 + // MT7004 示例:fp32 类型共享存储多核计算 #include #include - #include "78NE/utils.h" int main(int argc, char* argv[]) { - float *input = (float *)0xA0000000; - float *output = (float *)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) ç±»åž‹ç§æœ‰å­˜å‚¨å•核计算 + // MT7004 示例:fp16 (float16) ç±»åž‹ç§æœ‰å­˜å‚¨å•核计算 #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。 + + 傿•°ï¼š + - **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` ç¼©æ”¾ï¼Œé€†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«batchè¿™ä¸€ç»´ï¼‰ï¼Œåªæœ‰åœ¨IRFFT模å¼ä¸‹å’Œè®¾ç½® `onesided` 为True时需è¦è¯¥å‚æ•°ï¼Œéœ€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: + Tensorï¼Œè¡¨ç¤ºå¤æ•°åˆ°å¤æ•°ã€å®žæ•°åˆ°å¤æ•°æˆ–夿•°åˆ°å®žæ•°å‚…里å¶å˜æ¢çš„结果。 + + 异常: + - **TypeError** - 如果FFT/IFFT/IRFFçš„è¾“å…¥ç±»åž‹ä¸æ˜¯ä»¥ä¸‹ç±»åž‹ä¹‹ä¸€ï¼šcomplex64ã€complex128。 + - **TypeError** - å¦‚æžœè¾“å…¥çš„ç±»åž‹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–值䏿˜¯"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„ç»´åº¦ä¿¡æ¯æ•°ç»„ params[1] = (long long)in_strides; // 输入张é‡çš„æ­¥é•¿ä¿¡æ¯æ•°ç»„ params[2] = (long long)out_strides; // 输出张é‡çš„æ­¥é•¿ä¿¡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; // éœ€è¦æŸ¥æ‰¾çš„æœ€å¤§/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; // æ˜¯å¦æŸ¥æ‰¾æœ€å¤§å€¼çš„æ ‡å¿—。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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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×ÄÚÔËËã¼¶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:
    +

    对称é‡åŒ–(symmetric 为 true 时):

    +
    +\[max\_val = \max(-min\_val, max\_val), \quad min\_val = -max\_val\]
    +
    +
    输入:
    • src - 输入数æ®åœ°å€ã€‚

    • min_val - 浮点范围的最å°å€¼ã€‚

    • max_val - 浮点范围的最大值。

    • -
    • length - 计算长度。

    • -
    • quant_min - é‡åŒ–åŽçš„æ•´æ•°æœ€å°å€¼ï¼ˆä¾‹å¦‚ 0 或 -128)。

    • -
    • quant_max - é‡åŒ–åŽçš„æ•´æ•°æœ€å¤§å€¼ï¼ˆä¾‹å¦‚ 255 或 127)。

    • -
    • symmetric - 是å¦ä½¿ç”¨å¯¹ç§°é‡åŒ–(bool 类型)。若为 true,则范围调整为关于 0 对称。

    • +
    • params - 傿•°æ•°ç»„,包å«ä»¥ä¸‹å…ƒç´ ï¼š

      +
      +
        +
      • params[0] - 计算长度(length)。

      • +
      • params[1] - quant_min,é‡åŒ–åŽçš„æ•´æ•°æœ€å°å€¼ï¼ˆä¾‹å¦‚ 0 或 -128)。

      • +
      • params[2] - quant_max,é‡åŒ–åŽçš„æ•´æ•°æœ€å¤§å€¼ï¼ˆä¾‹å¦‚ 255 或 127)。

      • +
      • params[3] - symmetric,是å¦ä½¿ç”¨å¯¹ç§°é‡åŒ–(bool 类型)。若为 true,则范围调整为关于 0 对称。

      • +
      +
      +
    • core_mask(int, å¯é€‰) - 核掩ç ï¼ˆä»…适用于共享存储版本)。

    @@ -347,28 +364,32 @@

    共享存储版本:

    -void fp_fake_quant_with_min_max_vars_s(float *src, float min_val, float max_val, float *output, int length, int quant_min, int quant_max, bool symmetric, int core_mask)ïƒ
    +void fp_fake_quant_with_min_max_vars_s(float *src, float *output, float min_val, float max_val, long long *params, int core_mask)ïƒ
    -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) ç±»åž‹ç§æœ‰å­˜å‚¨å•核计算
    +
     1// MT7004 示例:fp16 (float16) ç±»åž‹ç§æœ‰å­˜å‚¨å•核计算
      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。

    +
    +
    +
    傿•°ï¼š
      +
    • 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‰ \(1/n\) ç¼©æ”¾ï¼Œé€†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«batchè¿™ä¸€ç»´ï¼‰ï¼Œåªæœ‰åœ¨IRFFT模å¼ä¸‹å’Œè®¾ç½® onesided 为True时需è¦è¯¥å‚æ•°ï¼Œéœ€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:

    Tensorï¼Œè¡¨ç¤ºå¤æ•°åˆ°å¤æ•°ã€å®žæ•°åˆ°å¤æ•°æˆ–夿•°åˆ°å®žæ•°å‚…里å¶å˜æ¢çš„结果。

    +
    +
    异常:
      +
    • TypeError - 如果FFT/IFFT/IRFFçš„è¾“å…¥ç±»åž‹ä¸æ˜¯ä»¥ä¸‹ç±»åž‹ä¹‹ä¸€ï¼šcomplex64ã€complex128。

    • +
    • TypeError - å¦‚æžœè¾“å…¥çš„ç±»åž‹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–值䏿˜¯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„ç»´åº¦ä¿¡æ¯æ•°ç»„ 3params[1] = (long long)in_strides; // 输入张é‡çš„æ­¥é•¿ä¿¡æ¯æ•°ç»„ 4params[2] = (long long)out_strides; // 输出张é‡çš„æ­¥é•¿ä¿¡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; // éœ€è¦æŸ¥æ‰¾çš„æœ€å¤§/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; // æ˜¯å¦æŸ¥æ‰¾æœ€å¤§å€¼çš„æ ‡å¿—。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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81, 82, 168, 197], "dst_i": [12, 15, 29, 45, 54, 78, 83, 87, 89, 173, 181, 182, 201, 233], "case": [12, 13, 14, 23, 25, 28, 57, 59, 72, 73, 74, 75, 78, 102, 105, 106, 109, 110, 111, 116, 129, 131, 134, 141, 144, 145, 151, 165, 177, 178, 181, 186, 187, 196, 211, 225, 226, 232], "src_i": [12, 29, 45, 54, 78, 87, 173, 182, 201], "text": [12, 13, 14, 15, 21, 23, 25, 28, 31, 33, 34, 35, 39, 46, 47, 48, 50, 52, 53, 57, 59, 62, 68, 69, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 85, 86, 88, 93, 95, 97, 98, 99, 102, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 119, 120, 121, 123, 127, 129, 130, 131, 134, 137, 140, 141, 142, 144, 145, 146, 149, 151, 153, 154, 155, 157, 165, 168, 169, 170, 171, 172, 177, 178, 180, 186, 187, 188, 192, 193, 194, 196, 197, 199, 200, 202, 203, 204, 206, 207, 208, 210, 211, 212, 214, 215, 216, 217, 219, 220, 222, 225, 226, 228, 229, 231, 232], "src_data": [12, 23, 54, 78, 87, 90, 107, 151, 161, 173, 182, 198, 201], "length": [12, 13, 14, 15, 17, 29, 30, 39, 40, 45, 47, 54, 59, 68, 69, 72, 73, 76, 78, 79, 80, 84, 87, 105, 107, 109, 112, 113, 114, 115, 117, 118, 128, 133, 135, 138, 139, 143, 144, 146, 150, 153, 155, 156, 157, 159, 160, 161, 163, 170, 171, 173, 178, 180, 181, 182, 186, 187, 201, 203, 220, 227, 232, 233], "core_mask": [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 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