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@ -16,106 +16,224 @@ float2 twiddle(float2 a) { |
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} |
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__attribute__((always_inline)) |
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void fft_radix2(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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void butterfly2(float2 a0, float2 a1, __local float2* smem, __constant const float2* twiddles, |
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const int x, const int block_size) |
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{ |
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const int k = x & (block_size - 1); |
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a1 = mul_float2(twiddles[k], a1); |
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const int dst_ind = (x << 1) - k; |
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smem[dst_ind] = a0 + a1; |
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smem[dst_ind+block_size] = a0 - a1; |
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} |
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__attribute__((always_inline)) |
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void butterfly4(float2 a0, float2 a1, float2 a2, float2 a3, __local float2* smem, __constant const float2* twiddles, |
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const int x, const int block_size) |
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{ |
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const int k = x & (block_size - 1); |
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a1 = mul_float2(twiddles[k], a1); |
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a2 = mul_float2(twiddles[k + block_size], a2); |
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a3 = mul_float2(twiddles[k + 2*block_size], a3); |
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const int dst_ind = ((x - k) << 2) + k; |
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float2 b0 = a0 + a2; |
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a2 = a0 - a2; |
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float2 b1 = a1 + a3; |
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a3 = twiddle(a1 - a3); |
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smem[dst_ind] = b0 + b1; |
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smem[dst_ind + block_size] = a2 + a3; |
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smem[dst_ind + 2*block_size] = b0 - b1; |
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smem[dst_ind + 3*block_size] = a2 - a3; |
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} |
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__attribute__((always_inline)) |
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void butterfly3(float2 a0, float2 a1, float2 a2, __local float2* smem, __constant const float2* twiddles, |
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const int x, const int block_size) |
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{ |
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const int k = x & (block_size - 1); |
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a1 = mul_float2(twiddles[k], a1); |
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a2 = mul_float2(twiddles[k+block_size], a2); |
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const int dst_ind = ((x - k) * 3) + k; |
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float2 b1 = a1 + a2; |
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a2 = twiddle(sin_120*(a1 - a2)); |
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float2 b0 = a0 - (float2)(0.5f)*b1; |
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smem[dst_ind] = a0 + b1; |
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smem[dst_ind + block_size] = b0 + a2; |
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smem[dst_ind + 2*block_size] = b0 - a2; |
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} |
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__attribute__((always_inline)) |
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void butterfly5(float2 a0, float2 a1, float2 a2, float2 a3, float2 a4, __local float2* smem, __constant const float2* twiddles, |
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const int x, const int block_size) |
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{ |
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const int k = x & (block_size - 1); |
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a1 = mul_float2(twiddles[k], a1); |
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a2 = mul_float2(twiddles[k + block_size], a2); |
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a3 = mul_float2(twiddles[k+2*block_size], a3); |
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a4 = mul_float2(twiddles[k+3*block_size], a4); |
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const int dst_ind = ((x - k) * 5) + k; |
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__local float2* dst = smem + dst_ind; |
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float2 b0, b1, b5; |
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b1 = a1 + a4; |
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a1 -= a4; |
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a4 = a3 + a2; |
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a3 -= a2; |
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a2 = b1 + a4; |
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b0 = a0 - (float2)0.25f * a2; |
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b1 = fft5_2 * (b1 - a4); |
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a4 = fft5_3 * (float2)(-a1.y - a3.y, a1.x + a3.x); |
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b5 = (float2)(a4.x - fft5_5 * a1.y, a4.y + fft5_5 * a1.x); |
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a4.x += fft5_4 * a3.y; |
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a4.y -= fft5_4 * a3.x; |
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a1 = b0 + b1; |
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b0 -= b1; |
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dst[0] = a0 + a2; |
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dst[block_size] = a1 + a4; |
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dst[2 * block_size] = b0 + b5; |
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dst[3 * block_size] = b0 - b5; |
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dst[4 * block_size] = a1 - a4; |
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} |
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__attribute__((always_inline)) |
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void fft_radix2(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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{ |
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float2 a0, a1; |
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if (x < t) |
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{ |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k],smem[x+t]); |
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a1 = smem[x+t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t) |
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butterfly2(a0, a1, smem, twiddles, x, block_size); |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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__attribute__((always_inline)) |
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void fft_radix2_B2(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int x2 = x1 + t/2; |
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float2 a0, a1, a2, a3; |
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if (x1 < t/2) |
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{ |
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const int dst_ind = (x << 1) - k; |
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a0 = smem[x1]; a1 = smem[x1+t]; |
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a2 = smem[x2]; a3 = smem[x2+t]; |
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} |
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smem[dst_ind] = a0 + a1; |
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smem[dst_ind+block_size] = a0 - a1; |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x1 < t/2) |
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{ |
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butterfly2(a0, a1, smem, twiddles, x1, block_size); |
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butterfly2(a2, a3, smem, twiddles, x2, block_size); |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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__attribute__((always_inline)) |
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void fft_radix2_B2(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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void fft_radix2_B3(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int k1 = x & (block_size - 1); |
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const int x2 = x + t/2; |
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const int k2 = x2 & (block_size - 1); |
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float2 a0, a1, a2, a3; |
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const int x2 = x1 + t/3; |
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const int x3 = x1 + 2*t/3; |
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float2 a0, a1, a2, a3, a4, a5; |
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if (x < t/2) |
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if (x1 < t/3) |
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{ |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k1],smem[x+t]); |
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a2 = smem[x2]; |
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a3 = mul_float2(twiddles[k2],smem[x2+t]); |
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a0 = smem[x1]; a1 = smem[x1+t]; |
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a2 = smem[x2]; a3 = smem[x2+t]; |
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a4 = smem[x3]; a5 = smem[x3+t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t/2) |
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if (x1 < t/3) |
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{ |
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int dst_ind = (x << 1) - k1; |
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smem[dst_ind] = a0 + a1; |
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smem[dst_ind+block_size] = a0 - a1; |
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dst_ind = (x2 << 1) - k2; |
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smem[dst_ind] = a2 + a3; |
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smem[dst_ind+block_size] = a2 - a3; |
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butterfly2(a0, a1, smem, twiddles, x1, block_size); |
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butterfly2(a2, a3, smem, twiddles, x2, block_size); |
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butterfly2(a4, a5, smem, twiddles, x3, block_size); |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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__attribute__((always_inline)) |
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void fft_radix2_B4(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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void fft_radix2_B4(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int thread_block = t/4; |
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const int k1 = x & (block_size - 1); |
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const int x2 = x + thread_block; |
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const int k2 = x2 & (block_size - 1); |
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const int x3 = x + 2*thread_block; |
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const int k3 = x3 & (block_size - 1); |
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const int x4 = x + 3*thread_block; |
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const int k4 = x4 & (block_size - 1); |
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const int x2 = x1 + thread_block; |
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const int x3 = x1 + 2*thread_block; |
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const int x4 = x1 + 3*thread_block; |
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float2 a0, a1, a2, a3, a4, a5, a6, a7; |
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if (x < t/4) |
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if (x1 < t/4) |
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{ |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k1],smem[x+t]); |
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a2 = smem[x2]; |
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a3 = mul_float2(twiddles[k2],smem[x2+t]); |
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a4 = smem[x3]; |
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a5 = mul_float2(twiddles[k3],smem[x3+t]); |
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a6 = smem[x4]; |
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a7 = mul_float2(twiddles[k4],smem[x4+t]); |
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a0 = smem[x1]; a1 = smem[x1+t]; |
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a2 = smem[x2]; a3 = smem[x2+t]; |
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a4 = smem[x3]; a5 = smem[x3+t]; |
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a6 = smem[x4]; a7 = smem[x4+t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t/4) |
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if (x1 < t/4) |
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{ |
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int dst_ind = (x << 1) - k1; |
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smem[dst_ind] = a0 + a1; |
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smem[dst_ind+block_size] = a0 - a1; |
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butterfly2(a0, a1, smem, twiddles, x1, block_size); |
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butterfly2(a2, a3, smem, twiddles, x2, block_size); |
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butterfly2(a4, a5, smem, twiddles, x3, block_size); |
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butterfly2(a6, a7, smem, twiddles, x4, block_size); |
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} |
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dst_ind = (x2 << 1) - k2; |
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smem[dst_ind] = a2 + a3; |
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smem[dst_ind+block_size] = a2 - a3; |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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dst_ind = (x3 << 1) - k3; |
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smem[dst_ind] = a4 + a5; |
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smem[dst_ind+block_size] = a4 - a5; |
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__attribute__((always_inline)) |
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void fft_radix2_B5(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int thread_block = t/5; |
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const int x2 = x1 + thread_block; |
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const int x3 = x1 + 2*thread_block; |
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const int x4 = x1 + 3*thread_block; |
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const int x5 = x1 + 4*thread_block; |
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float2 a0, a1, a2, a3, a4, a5, a6, a7, a8, a9; |
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dst_ind = (x4 << 1) - k4; |
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smem[dst_ind] = a6 + a7; |
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smem[dst_ind+block_size] = a6 - a7; |
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if (x1 < t/5) |
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{ |
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a0 = smem[x1]; a1 = smem[x1+t]; |
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a2 = smem[x2]; a3 = smem[x2+t]; |
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a4 = smem[x3]; a5 = smem[x3+t]; |
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a6 = smem[x4]; a7 = smem[x4+t]; |
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a8 = smem[x5]; a9 = smem[x5+t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x1 < t/5) |
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{ |
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butterfly2(a0, a1, smem, twiddles, x1, block_size); |
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butterfly2(a2, a3, smem, twiddles, x2, block_size); |
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butterfly2(a4, a5, smem, twiddles, x3, block_size); |
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butterfly2(a6, a7, smem, twiddles, x4, block_size); |
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butterfly2(a8, a9, smem, twiddles, x5, block_size); |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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@ -124,85 +242,65 @@ void fft_radix2_B4(__local float2* smem, __constant const float2* twiddles, cons |
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__attribute__((always_inline)) |
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void fft_radix4(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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{ |
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const int k = x & (block_size - 1); |
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float2 a0, a1, a2, a3; |
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if (x < t) |
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{ |
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const int twiddle_block = block_size / 4; |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k],smem[x+t]); |
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a2 = mul_float2(twiddles[k + block_size],smem[x+2*t]); |
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a3 = mul_float2(twiddles[k + 2*block_size],smem[x+3*t]); |
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a0 = smem[x]; a1 = smem[x+t]; a2 = smem[x+2*t]; a3 = smem[x+3*t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t) |
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butterfly4(a0, a1, a2, a3, smem, twiddles, x, block_size); |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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__attribute__((always_inline)) |
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void fft_radix4_B2(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int x2 = x1 + t/2; |
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float2 a0, a1, a2, a3, a4, a5, a6, a7; |
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if (x1 < t/2) |
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{ |
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const int dst_ind = ((x - k) << 2) + k; |
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a0 = smem[x1]; a1 = smem[x1+t]; a2 = smem[x1+2*t]; a3 = smem[x1+3*t]; |
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a4 = smem[x2]; a5 = smem[x2+t]; a6 = smem[x2+2*t]; a7 = smem[x2+3*t]; |
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} |
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float2 b0 = a0 + a2; |
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a2 = a0 - a2; |
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float2 b1 = a1 + a3; |
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a3 = twiddle(a1 - a3); |
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barrier(CLK_LOCAL_MEM_FENCE); |
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smem[dst_ind] = b0 + b1; |
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smem[dst_ind + block_size] = a2 + a3; |
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smem[dst_ind + 2*block_size] = b0 - b1; |
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smem[dst_ind + 3*block_size] = a2 - a3; |
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if (x1 < t/2) |
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{ |
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butterfly4(a0, a1, a2, a3, smem, twiddles, x1, block_size); |
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butterfly4(a4, a5, a6, a7, smem, twiddles, x2, block_size); |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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__attribute__((always_inline)) |
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void fft_radix4_B2(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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void fft_radix4_B3(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int k = x & (block_size - 1); |
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const int x2 = x + t/2; |
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const int k2 = x2 & (block_size - 1); |
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float2 a0, a1, a2, a3, a4, a5, a6, a7; |
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const int x2 = x1 + t/3; |
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const int x3 = x2 + t/3; |
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float2 a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11; |
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if (x < t/2) |
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if (x1 < t/3) |
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{ |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k], smem[x+t]); |
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a2 = mul_float2(twiddles[k + block_size],smem[x+2*t]); |
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a3 = mul_float2(twiddles[k + 2*block_size],smem[x+3*t]); |
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a4 = smem[x2]; |
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a5 = mul_float2(twiddles[k2], smem[x2+t]); |
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a6 = mul_float2(twiddles[k2 + block_size],smem[x2+2*t]); |
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a7 = mul_float2(twiddles[k2 + 2*block_size],smem[x2+3*t]); |
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a0 = smem[x1]; a1 = smem[x1+t]; a2 = smem[x1+2*t]; a3 = smem[x1+3*t]; |
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a4 = smem[x2]; a5 = smem[x2+t]; a6 = smem[x2+2*t]; a7 = smem[x2+3*t]; |
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a8 = smem[x3]; a9 = smem[x3+t]; a10 = smem[x3+2*t]; a11 = smem[x3+3*t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t/2) |
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if (x1 < t/3) |
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{ |
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int dst_ind = ((x - k) << 2) + k; |
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float2 b0 = a0 + a2; |
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a2 = a0 - a2; |
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float2 b1 = a1 + a3; |
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a3 = twiddle(a1 - a3); |
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smem[dst_ind] = b0 + b1; |
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smem[dst_ind + block_size] = a2 + a3; |
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smem[dst_ind + 2*block_size] = b0 - b1; |
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smem[dst_ind + 3*block_size] = a2 - a3; |
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dst_ind = ((x2 - k2) << 2) + k2; |
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b0 = a4 + a6; |
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a6 = a4 - a6; |
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b1 = a5 + a7; |
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a7 = twiddle(a5 - a7); |
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smem[dst_ind] = b0 + b1; |
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smem[dst_ind + block_size] = a6 + a7; |
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smem[dst_ind + 2*block_size] = b0 - b1; |
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|
smem[dst_ind + 3*block_size] = a6 - a7; |
|
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|
|
butterfly4(a0, a1, a2, a3, smem, twiddles, x1, block_size); |
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|
butterfly4(a4, a5, a6, a7, smem, twiddles, x2, block_size); |
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|
butterfly4(a8, a9, a10, a11, smem, twiddles, x3, block_size); |
|
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|
|
} |
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|
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|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
@ -274,156 +372,95 @@ void fft_radix8(__local float2* smem, __constant const float2* twiddles, const i |
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|
__attribute__((always_inline)) |
|
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|
|
void fft_radix3(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
|
|
|
|
{ |
|
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|
|
const int k = x % block_size; |
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|
|
float2 a0, a1, a2; |
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|
|
if (x < t) |
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|
|
{ |
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|
|
a0 = smem[x]; |
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|
|
a1 = mul_float2(twiddles[k], smem[x+t]); |
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|
|
a2 = mul_float2(twiddles[k+block_size], smem[x+2*t]); |
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|
a0 = smem[x]; a1 = smem[x+t]; a2 = smem[x+2*t]; |
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|
|
} |
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|
|
barrier(CLK_LOCAL_MEM_FENCE); |
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|
|
if (x < t) |
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|
|
{ |
|
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|
|
const int dst_ind = ((x - k) * 3) + k; |
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|
|
float2 b1 = a1 + a2; |
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|
a2 = twiddle(sin_120*(a1 - a2)); |
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|
|
float2 b0 = a0 - (float2)(0.5f)*b1; |
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|
smem[dst_ind] = a0 + b1; |
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|
smem[dst_ind + block_size] = b0 + a2; |
|
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|
|
smem[dst_ind + 2*block_size] = b0 - a2; |
|
|
|
|
} |
|
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|
|
butterfly3(a0, a1, a2, smem, twiddles, x, block_size); |
|
|
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|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
__attribute__((always_inline)) |
|
|
|
|
void fft_radix3_B2(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
|
|
|
|
void fft_radix3_B2(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
|
|
|
|
{ |
|
|
|
|
const int k = x % block_size; |
|
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|
|
const int x2 = x + t/2; |
|
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|
|
const int k2 = x2 % block_size; |
|
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|
|
const int x2 = x1 + t/2; |
|
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|
|
float2 a0, a1, a2, a3, a4, a5; |
|
|
|
|
|
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|
|
|
if (x < t/2) |
|
|
|
|
if (x1 < t/2) |
|
|
|
|
{ |
|
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|
|
a0 = smem[x]; |
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|
|
a1 = mul_float2(twiddles[k], smem[x+t]); |
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|
|
a2 = mul_float2(twiddles[k+block_size], smem[x+2*t]); |
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|
|
a3 = smem[x2]; |
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|
|
a4 = mul_float2(twiddles[k2], smem[x2+t]); |
|
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|
|
a5 = mul_float2(twiddles[k2+block_size], smem[x2+2*t]); |
|
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|
|
a0 = smem[x1]; a1 = smem[x1+t]; a2 = smem[x1+2*t]; |
|
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|
|
a3 = smem[x2]; a4 = smem[x2+t]; a5 = smem[x2+2*t]; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
|
|
|
|
|
|
if (x < t/2) |
|
|
|
|
if (x1 < t/2) |
|
|
|
|
{ |
|
|
|
|
int dst_ind = ((x - k) * 3) + k; |
|
|
|
|
butterfly3(a0, a1, a2, smem, twiddles, x1, block_size); |
|
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|
|
butterfly3(a3, a4, a5, smem, twiddles, x2, block_size); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
float2 b1 = a1 + a2; |
|
|
|
|
a2 = twiddle(sin_120*(a1 - a2)); |
|
|
|
|
float2 b0 = a0 - (float2)(0.5f)*b1; |
|
|
|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
smem[dst_ind] = a0 + b1; |
|
|
|
|
smem[dst_ind + block_size] = b0 + a2; |
|
|
|
|
smem[dst_ind + 2*block_size] = b0 - a2; |
|
|
|
|
__attribute__((always_inline)) |
|
|
|
|
void fft_radix3_B3(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
|
|
|
|
{ |
|
|
|
|
const int x2 = x1 + t/3; |
|
|
|
|
const int x3 = x2 + t/3; |
|
|
|
|
float2 a0, a1, a2, a3, a4, a5, a6, a7, a8; |
|
|
|
|
|
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|
|
dst_ind = ((x2 - k2) * 3) + k2; |
|
|
|
|
if (x1 < t/2) |
|
|
|
|
{ |
|
|
|
|
a0 = smem[x1]; a1 = smem[x1+t]; a2 = smem[x1+2*t]; |
|
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|
|
a3 = smem[x2]; a4 = smem[x2+t]; a5 = smem[x2+2*t]; |
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|
|
a6 = smem[x3]; a7 = smem[x3+t]; a8 = smem[x3+2*t]; |
|
|
|
|
} |
|
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|
|
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|
|
b1 = a4 + a5; |
|
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|
|
a5 = twiddle(sin_120*(a4 - a5)); |
|
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|
|
b0 = a3 - (float2)(0.5f)*b1; |
|
|
|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
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|
|
|
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|
|
smem[dst_ind] = a3 + b1; |
|
|
|
|
smem[dst_ind + block_size] = b0 + a5; |
|
|
|
|
smem[dst_ind + 2*block_size] = b0 - a5; |
|
|
|
|
if (x1 < t/2) |
|
|
|
|
{ |
|
|
|
|
butterfly3(a0, a1, a2, smem, twiddles, x1, block_size); |
|
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|
|
butterfly3(a3, a4, a5, smem, twiddles, x2, block_size); |
|
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|
|
butterfly3(a6, a7, a8, smem, twiddles, x3, block_size); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
__attribute__((always_inline)) |
|
|
|
|
void fft_radix3_B4(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
|
|
|
|
void fft_radix3_B4(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
|
|
|
|
{ |
|
|
|
|
const int thread_block = t/4; |
|
|
|
|
const int k = x % block_size; |
|
|
|
|
const int x2 = x + thread_block; |
|
|
|
|
const int k2 = x2 % block_size; |
|
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|
|
const int x3 = x + 2*thread_block; |
|
|
|
|
const int k3 = x3 % block_size; |
|
|
|
|
const int x4 = x + 3*thread_block; |
|
|
|
|
const int k4 = x4 % block_size; |
|
|
|
|
const int x2 = x1 + thread_block; |
|
|
|
|
const int x3 = x1 + 2*thread_block; |
|
|
|
|
const int x4 = x1 + 3*thread_block; |
|
|
|
|
float2 a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11; |
|
|
|
|
|
|
|
|
|
if (x < t/4) |
|
|
|
|
if (x1 < t/4) |
|
|
|
|
{ |
|
|
|
|
a0 = smem[x]; |
|
|
|
|
a1 = mul_float2(twiddles[k], smem[x+t]); |
|
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|
|
a2 = mul_float2(twiddles[k+block_size], smem[x+2*t]); |
|
|
|
|
|
|
|
|
|
a3 = smem[x2]; |
|
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|
|
a4 = mul_float2(twiddles[k2], smem[x2+t]); |
|
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|
|
a5 = mul_float2(twiddles[k2+block_size], smem[x2+2*t]); |
|
|
|
|
|
|
|
|
|
a6 = smem[x3]; |
|
|
|
|
a7 = mul_float2(twiddles[k3], smem[x3+t]); |
|
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|
|
a8 = mul_float2(twiddles[k3+block_size], smem[x3+2*t]); |
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|
|
|
|
|
|
|
|
a9 = smem[x4]; |
|
|
|
|
a10 = mul_float2(twiddles[k4], smem[x4+t]); |
|
|
|
|
a11 = mul_float2(twiddles[k4+block_size], smem[x4+2*t]); |
|
|
|
|
a0 = smem[x1]; a1 = smem[x1+t]; a2 = smem[x1+2*t]; |
|
|
|
|
a3 = smem[x2]; a4 = smem[x2+t]; a5 = smem[x2+2*t]; |
|
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|
|
a6 = smem[x3]; a7 = smem[x3+t]; a8 = smem[x3+2*t]; |
|
|
|
|
a9 = smem[x4]; a10 = smem[x4+t]; a11 = smem[x4+2*t]; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
|
|
|
|
|
|
if (x < t/4) |
|
|
|
|
if (x1 < t/4) |
|
|
|
|
{ |
|
|
|
|
int dst_ind = ((x - k) * 3) + k; |
|
|
|
|
|
|
|
|
|
float2 b1 = a1 + a2; |
|
|
|
|
a2 = twiddle(sin_120*(a1 - a2)); |
|
|
|
|
float2 b0 = a0 - (float2)(0.5f)*b1; |
|
|
|
|
|
|
|
|
|
smem[dst_ind] = a0 + b1; |
|
|
|
|
smem[dst_ind + block_size] = b0 + a2; |
|
|
|
|
smem[dst_ind + 2*block_size] = b0 - a2; |
|
|
|
|
|
|
|
|
|
dst_ind = ((x2 - k2) * 3) + k2; |
|
|
|
|
|
|
|
|
|
b1 = a4 + a5; |
|
|
|
|
a5 = twiddle(sin_120*(a4 - a5)); |
|
|
|
|
b0 = a3 - (float2)(0.5f)*b1; |
|
|
|
|
|
|
|
|
|
smem[dst_ind] = a3 + b1; |
|
|
|
|
smem[dst_ind + block_size] = b0 + a5; |
|
|
|
|
smem[dst_ind + 2*block_size] = b0 - a5; |
|
|
|
|
|
|
|
|
|
dst_ind = ((x3 - k3) * 3) + k3; |
|
|
|
|
|
|
|
|
|
b1 = a7 + a8; |
|
|
|
|
a8 = twiddle(sin_120*(a7 - a8)); |
|
|
|
|
b0 = a6 - (float2)(0.5f)*b1; |
|
|
|
|
|
|
|
|
|
smem[dst_ind] = a6 + b1; |
|
|
|
|
smem[dst_ind + block_size] = b0 + a8; |
|
|
|
|
smem[dst_ind + 2*block_size] = b0 - a8; |
|
|
|
|
|
|
|
|
|
dst_ind = ((x4 - k4) * 3) + k4; |
|
|
|
|
|
|
|
|
|
b1 = a10 + a11; |
|
|
|
|
a11 = twiddle(sin_120*(a10 - a11)); |
|
|
|
|
b0 = a9 - (float2)(0.5f)*b1; |
|
|
|
|
|
|
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smem[dst_ind] = a9 + b1; |
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smem[dst_ind + block_size] = b0 + a11; |
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smem[dst_ind + 2*block_size] = b0 - a11; |
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butterfly3(a0, a1, a2, smem, twiddles, x1, block_size); |
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butterfly3(a3, a4, a5, smem, twiddles, x2, block_size); |
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butterfly3(a6, a7, a8, smem, twiddles, x3, block_size); |
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butterfly3(a9, a10, a11, smem, twiddles, x4, block_size); |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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@ -437,135 +474,35 @@ void fft_radix5(__local float2* smem, __constant const float2* twiddles, const i |
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if (x < t) |
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{ |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k], smem[x + t]); |
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a2 = mul_float2(twiddles[k + block_size],smem[x+2*t]); |
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a3 = mul_float2(twiddles[k+2*block_size],smem[x+3*t]); |
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a4 = mul_float2(twiddles[k+3*block_size],smem[x+4*t]); |
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a0 = smem[x]; a1 = smem[x + t]; a2 = smem[x+2*t]; a3 = smem[x+3*t]; a4 = smem[x+4*t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t) |
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{ |
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const int dst_ind = ((x - k) * 5) + k; |
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__local float2* dst = smem + dst_ind; |
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float2 b0, b1, b5; |
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b1 = a1 + a4; |
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a1 -= a4; |
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a4 = a3 + a2; |
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a3 -= a2; |
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a2 = b1 + a4; |
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b0 = a0 - (float2)0.25f * a2; |
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b1 = fft5_2 * (b1 - a4); |
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a4 = fft5_3 * (float2)(-a1.y - a3.y, a1.x + a3.x); |
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b5 = (float2)(a4.x - fft5_5 * a1.y, a4.y + fft5_5 * a1.x); |
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a4.x += fft5_4 * a3.y; |
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a4.y -= fft5_4 * a3.x; |
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a1 = b0 + b1; |
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b0 -= b1; |
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dst[0] = a0 + a2; |
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dst[block_size] = a1 + a4; |
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dst[2 * block_size] = b0 + b5; |
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dst[3 * block_size] = b0 - b5; |
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dst[4 * block_size] = a1 - a4; |
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} |
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butterfly5(a0, a1, a2, a3, a4, smem, twiddles, x, block_size); |
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barrier(CLK_LOCAL_MEM_FENCE); |
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} |
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__attribute__((always_inline)) |
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void fft_radix5_B2(__local float2* smem, __constant const float2* twiddles, const int x, const int block_size, const int t) |
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void fft_radix5_B2(__local float2* smem, __constant const float2* twiddles, const int x1, const int block_size, const int t) |
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{ |
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const int k = x % block_size; |
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const int x2 = x+t/2; |
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const int k2 = x2 % block_size; |
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const int x2 = x1+t/2; |
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float2 a0, a1, a2, a3, a4, a5, a6, a7, a8, a9; |
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if (x < t/2) |
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if (x1 < t/2) |
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{ |
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a0 = smem[x]; |
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a1 = mul_float2(twiddles[k], smem[x + t]); |
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a2 = mul_float2(twiddles[k + block_size],smem[x+2*t]); |
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a3 = mul_float2(twiddles[k+2*block_size],smem[x+3*t]); |
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a4 = mul_float2(twiddles[k+3*block_size],smem[x+4*t]); |
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a5 = smem[x2]; |
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a6 = mul_float2(twiddles[k2], smem[x2 + t]); |
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a7 = mul_float2(twiddles[k2 + block_size],smem[x2+2*t]); |
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a8 = mul_float2(twiddles[k2+2*block_size],smem[x2+3*t]); |
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a9 = mul_float2(twiddles[k2+3*block_size],smem[x2+4*t]); |
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a0 = smem[x1]; a1 = smem[x1 + t]; a2 = smem[x1+2*t]; a3 = smem[x1+3*t]; a4 = smem[x1+4*t]; |
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a5 = smem[x2]; a6 = smem[x2 + t]; a7 = smem[x2+2*t]; a8 = smem[x2+3*t]; a9 = smem[x2+4*t]; |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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if (x < t/2) |
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if (x1 < t/2) |
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{ |
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int dst_ind = ((x - k) * 5) + k; |
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__local float2* dst = smem + dst_ind; |
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float2 b0, b1, b5; |
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b1 = a1 + a4; |
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a1 -= a4; |
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a4 = a3 + a2; |
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a3 -= a2; |
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a2 = b1 + a4; |
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b0 = a0 - (float2)0.25f * a2; |
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b1 = fft5_2 * (b1 - a4); |
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a4 = fft5_3 * (float2)(-a1.y - a3.y, a1.x + a3.x); |
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b5 = (float2)(a4.x - fft5_5 * a1.y, a4.y + fft5_5 * a1.x); |
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a4.x += fft5_4 * a3.y; |
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a4.y -= fft5_4 * a3.x; |
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a1 = b0 + b1; |
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b0 -= b1; |
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dst[0] = a0 + a2; |
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dst[block_size] = a1 + a4; |
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dst[2 * block_size] = b0 + b5; |
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dst[3 * block_size] = b0 - b5; |
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dst[4 * block_size] = a1 - a4; |
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dst_ind = ((x2 - k2) * 5) + k2; |
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dst = smem + dst_ind; |
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b1 = a6 + a9; |
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a6 -= a9; |
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a9 = a8 + a7; |
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a8 -= a7; |
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a7 = b1 + a9; |
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b0 = a5 - (float2)0.25f * a7; |
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b1 = fft5_2 * (b1 - a9); |
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a9 = fft5_3 * (float2)(-a6.y - a8.y, a6.x + a8.x); |
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b5 = (float2)(a9.x - fft5_5 * a6.y, a9.y + fft5_5 * a6.x); |
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a9.x += fft5_4 * a8.y; |
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a9.y -= fft5_4 * a8.x; |
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a6 = b0 + b1; |
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b0 -= b1; |
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dst[0] = a5 + a7; |
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dst[block_size] = a6 + a9; |
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dst[2 * block_size] = b0 + b5; |
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dst[3 * block_size] = b0 - b5; |
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|
dst[4 * block_size] = a6 - a9; |
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|
butterfly5(a0, a1, a2, a3, a4, smem, twiddles, x1, block_size); |
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|
butterfly5(a5, a6, a7, a8, a9, smem, twiddles, x2, block_size); |
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} |
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|
barrier(CLK_LOCAL_MEM_FENCE); |
|
|
|
@ -611,7 +548,7 @@ __kernel void fft_multi_radix_rows(__global const uchar* src_ptr, int src_step, |
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|
|
RADIX_PROCESS; |
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|
|
#ifndef CCS_OUTPUT |
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|
|
#ifndef REAL_OUTPUT |
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|
|
#ifdef NO_CONJUGATE |
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|
|
// copy result without complex conjugate |
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|
|
const int cols = dst_cols/2 + 1; |
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|
@ -659,7 +596,7 @@ __kernel void fft_multi_radix_cols(__global const uchar* src_ptr, int src_step, |
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|
|
RADIX_PROCESS; |
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|
|
#ifndef CCS_OUTPUT |
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|
|
#ifndef REAL_OUTPUT |
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|
|
__global uchar* dst = dst_ptr + mad24(y, dst_step, mad24(x, (int)(sizeof(float)*2), dst_offset)); |
|
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|
|
#pragma unroll |
|
|
|
|
for (int i=0; i<kercn; i++) |
|
|
|
@ -696,8 +633,8 @@ __kernel void fft_multi_radix_cols(__global const uchar* src_ptr, int src_step, |
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|
|
} |
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|
|
} |
|
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|
|
__kernel void ifft_multi_radix_rows(__global const uchar* src_ptr, int src_step, int src_offset, int src_rows, int src_cols, |
|
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|
|
__global uchar* dst_ptr, int dst_step, int dst_offset, int dst_rows, int dst_cols, |
|
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|
|
__kernel void ifft_multi_radix_rows(__global const uchar* src_ptr, int src_step, int src_offset, |
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|
|
__global uchar* dst_ptr, int dst_step, int dst_offset, |
|
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|
|
__constant float2 * twiddles_ptr, const int t, const int nz) |
|
|
|
|
{ |
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|
|
|
const int x = get_global_id(0); |
|
|
|
@ -709,13 +646,8 @@ __kernel void ifft_multi_radix_rows(__global const uchar* src_ptr, int src_step, |
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|
|
__constant const float2* twiddles = (__constant float2*) twiddles_ptr; |
|
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|
|
const int ind = x; |
|
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|
|
const int block_size = LOCAL_SIZE/kercn; |
|
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|
|
#ifdef IS_1D |
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|
|
float scale = 1.f/dst_cols; |
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|
|
#else |
|
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|
|
float scale = 1.f/(dst_cols*dst_rows); |
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|
|
#endif |
|
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|
|
|
|
#ifndef REAL_INPUT |
|
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|
|
#ifndef REAL |
|
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|
|
__global const float2* src = (__global const float2*)(src_ptr + mad24(y, src_step, mad24(x, (int)(sizeof(float)*2), src_offset))); |
|
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|
|
#pragma unroll |
|
|
|
|
for (int i=0; i<kercn; i++) |
|
|
|
@ -724,7 +656,13 @@ __kernel void ifft_multi_radix_rows(__global const uchar* src_ptr, int src_step, |
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|
|
smem[x+i*block_size].y = -src[i*block_size].y; |
|
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|
|
} |
|
|
|
|
#else |
|
|
|
|
__global const float2* src = (__global const float2*)(src_ptr + mad24(y, src_step, mad24(1, (int)sizeof(float), src_offset))); |
|
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|
|
__global const float2* src; |
|
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|
|
#ifdef COMPLEX_INPUT |
|
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|
|
src = (__global const float2*)(src_ptr + mad24(y, src_step, mad24(2, (int)sizeof(float), src_offset))); |
|
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|
|
#else |
|
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|
|
src = (__global const float2*)(src_ptr + mad24(y, src_step, mad24(1, (int)sizeof(float), src_offset))); |
|
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|
|
#endif |
|
|
|
|
|
|
|
|
|
#pragma unroll |
|
|
|
|
for (int i=x; i<(LOCAL_SIZE-1)/2; i+=block_size) |
|
|
|
|
{ |
|
|
|
@ -750,13 +688,13 @@ __kernel void ifft_multi_radix_rows(__global const uchar* src_ptr, int src_step, |
|
|
|
|
RADIX_PROCESS; |
|
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|
|
|
|
|
|
|
// copy data to dst |
|
|
|
|
#ifndef REAL_INPUT |
|
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|
|
#ifndef REAL |
|
|
|
|
__global float2* dst = (__global float*)(dst_ptr + mad24(y, dst_step, mad24(x, (int)(sizeof(float)*2), dst_offset))); |
|
|
|
|
#pragma unroll |
|
|
|
|
for (int i=0; i<kercn; i++) |
|
|
|
|
{ |
|
|
|
|
dst[i*block_size].x = VAL(smem[x + i*block_size].x, scale); |
|
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|
|
dst[i*block_size].y = VAL(-smem[x + i*block_size].y, scale); |
|
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|
|
dst[i*block_size].x = smem[x + i*block_size].x; |
|
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|
|
dst[i*block_size].y = -smem[x + i*block_size].y; |
|
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|
|
} |
|
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|
|
#else |
|
|
|
|
__global float* dst = (__global float*)(dst_ptr + mad24(y, dst_step, mad24(x, (int)(sizeof(float)), dst_offset))); |
|
|
|
@ -769,13 +707,14 @@ __kernel void ifft_multi_radix_rows(__global const uchar* src_ptr, int src_step, |
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|
|
} |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
__kernel void ifft_multi_radix_cols(__global const uchar* src_ptr, int src_step, int src_offset, int src_rows, int src_cols, |
|
|
|
|
__global uchar* dst_ptr, int dst_step, int dst_offset, int dst_rows, int dst_cols, |
|
|
|
|
__kernel void ifft_multi_radix_cols(__global const uchar* src_ptr, int src_step, int src_offset, |
|
|
|
|
__global uchar* dst_ptr, int dst_step, int dst_offset, |
|
|
|
|
__constant float2 * twiddles_ptr, const int t, const int nz) |
|
|
|
|
{ |
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|
|
|
const int x = get_group_id(0); |
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|
|
const int y = get_global_id(1); |
|
|
|
|
|
|
|
|
|
#ifndef REAL |
|
|
|
|
if (x < nz) |
|
|
|
|
{ |
|
|
|
|
__local float2 smem[LOCAL_SIZE]; |
|
|
|
@ -784,7 +723,6 @@ __kernel void ifft_multi_radix_cols(__global const uchar* src_ptr, int src_step, |
|
|
|
|
__constant const float2* twiddles = (__constant float2*) twiddles_ptr; |
|
|
|
|
const int ind = y; |
|
|
|
|
const int block_size = LOCAL_SIZE/kercn; |
|
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|
|
float scale = 1.f/(dst_rows*dst_cols); |
|
|
|
|
|
|
|
|
|
#pragma unroll |
|
|
|
|
for (int i=0; i<kercn; i++) |
|
|
|
@ -802,9 +740,75 @@ __kernel void ifft_multi_radix_cols(__global const uchar* src_ptr, int src_step, |
|
|
|
|
#pragma unroll |
|
|
|
|
for (int i=0; i<kercn; i++) |
|
|
|
|
{ |
|
|
|
|
__global float2* rez = (__global float2*)(dst + i*block_size*src_step); |
|
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|
|
rez[0].x = VAL(smem[y + i*block_size].x, scale); |
|
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|
|
rez[0].y = VAL(-smem[y + i*block_size].y, scale); |
|
|
|
|
__global float2* rez = (__global float2*)(dst + i*block_size*dst_step); |
|
|
|
|
rez[0].x = smem[y + i*block_size].x; |
|
|
|
|
rez[0].y = -smem[y + i*block_size].y; |
|
|
|
|
} |
|
|
|
|
} |
|
|
|
|
#else |
|
|
|
|
if (x < nz) |
|
|
|
|
{ |
|
|
|
|
__constant const float2* twiddles = (__constant float2*) twiddles_ptr; |
|
|
|
|
const int ind = y; |
|
|
|
|
const int block_size = LOCAL_SIZE/kercn; |
|
|
|
|
|
|
|
|
|
__local float2 smem[LOCAL_SIZE]; |
|
|
|
|
#ifdef EVEN |
|
|
|
|
if (x!=0 && (x!=(nz-1))) |
|
|
|
|
#else |
|
|
|
|
if (x!=0) |
|
|
|
|
#endif |
|
|
|
|
{ |
|
|
|
|
__global const uchar* src = src_ptr + mad24(y, src_step, mad24(2*x-1, (int)sizeof(float), src_offset)); |
|
|
|
|
#pragma unroll |
|
|
|
|
for (int i=0; i<kercn; i++) |
|
|
|
|
{ |
|
|
|
|
float2 temp = *((__global const float2*)(src + i*block_size*src_step)); |
|
|
|
|
smem[y+i*block_size].x = temp.x; |
|
|
|
|
smem[y+i*block_size].y = -temp.y; |
|
|
|
|
} |
|
|
|
|
} |
|
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else |
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{ |
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int ind = x==0 ? 0: 2*x-1; |
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__global const float* src = (__global const float*)(src_ptr + mad24(1, src_step, mad24(ind, (int)sizeof(float), src_offset))); |
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int step = src_step/(int)sizeof(float); |
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#pragma unroll |
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for (int i=y; i<(LOCAL_SIZE-1)/2; i+=block_size) |
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{ |
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smem[i+1].x = src[2*i*step]; |
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smem[i+1].y = -src[(2*i+1)*step]; |
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smem[LOCAL_SIZE-i-1].x = src[2*i*step];; |
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smem[LOCAL_SIZE-i-1].y = src[(2*i+1)*step]; |
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} |
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if (y==0) |
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{ |
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smem[0].x = *(__global const float*)(src_ptr + mad24(ind, (int)sizeof(float), src_offset)); |
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smem[0].y = 0.f; |
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if(LOCAL_SIZE % 2 ==0) |
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{ |
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smem[LOCAL_SIZE/2].x = src[(LOCAL_SIZE-2)*step]; |
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smem[LOCAL_SIZE/2].y = 0.f; |
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} |
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} |
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} |
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barrier(CLK_LOCAL_MEM_FENCE); |
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RADIX_PROCESS; |
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// copy data to dst |
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__global uchar* dst = dst_ptr + mad24(y, dst_step, mad24(x, (int)(sizeof(float)), dst_offset)); |
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#pragma unroll |
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for (int i=0; i<kercn; i++) |
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{ |
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__global float2* rez = (__global float2*)(dst + i*block_size*dst_step); |
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rez[0].x = smem[y + i*block_size].x; |
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rez[0].y = -smem[y + i*block_size].y; |
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} |
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} |
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#endif |
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} |