src/cpu/stylegan_elementwise.cpp
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|---|---|---|---|
| 1 | // ─── CPU StyleGAN3 synthesis-input primitives ────────────────────────────── | ||
| 2 | // | ||
| 3 | // FP32 scalar host implementations. CPU is FP32-only. | ||
| 4 | // | ||
| 5 | // sin/cos Fourier features for SynthesisInput (sin(2π·…)). | ||
| 6 | // rsqrt reciprocal sqrt backing modulation-demod / pixel-norm. | ||
| 7 | // pixel_norm RMS-over-channel normalisation for the mapping network. | ||
| 8 | // | ||
| 9 | // sin/cos/rsqrt are elementwise: outputs resized + dtype-set to match the | ||
| 10 | // input, x/y and dX/dY may alias, and the backward OVERWRITES dX (no learnable | ||
| 11 | // parameters). pixel_norm operates per row over the trailing (cols) axis. | ||
| 12 | // | ||
| 13 | // rsqrt: the caller owns the x > 0 precondition (no guard — rsqrt(0)=+inf, | ||
| 14 | // rsqrt(<0)=NaN), matching log/exp in log_exp_round.cpp. | ||
| 15 | |||
| 16 | #include <brotensor/tensor.h> | ||
| 17 | |||
| 18 | #include <cmath> | ||
| 19 | #include <stdexcept> | ||
| 20 | #include <string> | ||
| 21 | |||
| 22 | namespace brotensor::detail::cpu { | ||
| 23 | |||
| 24 | namespace { | ||
| 25 | |||
| 26 | 163 | inline void check_fp32(const ::brotensor::Tensor& t, | |
| 27 | const char* op, const char* name) { | ||
| 28 |
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163 | if (t.dtype != Dtype::FP32) { |
| 29 | ✗ | throw std::runtime_error(std::string("brotensor: ") + op + ": " + | |
| 30 | ✗ | name + " must be FP32 (CPU backend is " | |
| 31 | "FP32-only)"); | ||
| 32 | } | ||
| 33 | 163 | } | |
| 34 | |||
| 35 | } // namespace | ||
| 36 | |||
| 37 | // ─── sin ───────────────────────────────────────────────────────────────────── | ||
| 38 | |||
| 39 | 29 | void sin_forward(const ::brotensor::Tensor& x, ::brotensor::Tensor& y) { | |
| 40 | 29 | check_fp32(x, "sin_forward", "x"); | |
| 41 |
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29 | if (y.rows != x.rows || y.cols != x.cols || y.dtype != Dtype::FP32) { |
| 42 | 29 | y.resize(x.rows, x.cols, Dtype::FP32); | |
| 43 | 29 | } | |
| 44 | 29 | const int n = x.size(); | |
| 45 |
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29 | if (n == 0) return; |
| 46 | 29 | const float* xp = x.host_f32(); | |
| 47 | 29 | float* yp = y.host_f32_mut(); | |
| 48 |
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904 | for (int i = 0; i < n; ++i) yp[i] = std::sin(xp[i]); |
| 49 | 29 | } | |
| 50 | |||
| 51 | 2 | void sin_backward(const ::brotensor::Tensor& x, const ::brotensor::Tensor& dY, | |
| 52 | ::brotensor::Tensor& dX) { | ||
| 53 | 2 | check_fp32(x, "sin_backward", "x"); | |
| 54 | 2 | check_fp32(dY, "sin_backward", "dY"); | |
| 55 |
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2 | if (dX.rows != x.rows || dX.cols != x.cols || dX.dtype != Dtype::FP32) { |
| 56 | 2 | dX.resize(x.rows, x.cols, Dtype::FP32); | |
| 57 | 2 | } | |
| 58 | 2 | const int n = x.size(); | |
| 59 |
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2 | if (n == 0) return; |
| 60 | 2 | const float* xp = x.host_f32(); | |
| 61 | 2 | const float* dyp = dY.host_f32(); | |
| 62 | 2 | float* dxp = dX.host_f32_mut(); // overwrite — dX may alias dY | |
| 63 |
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49 | for (int i = 0; i < n; ++i) dxp[i] = dyp[i] * std::cos(xp[i]); |
| 64 | 2 | } | |
| 65 | |||
| 66 | // ─── cos ───────────────────────────────────────────────────────────────────── | ||
| 67 | |||
| 68 | 29 | void cos_forward(const ::brotensor::Tensor& x, ::brotensor::Tensor& y) { | |
| 69 | 29 | check_fp32(x, "cos_forward", "x"); | |
| 70 |
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29 | if (y.rows != x.rows || y.cols != x.cols || y.dtype != Dtype::FP32) { |
| 71 | 25 | y.resize(x.rows, x.cols, Dtype::FP32); | |
| 72 | 25 | } | |
| 73 | 29 | const int n = x.size(); | |
| 74 |
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29 | if (n == 0) return; |
| 75 | 29 | const float* xp = x.host_f32(); | |
| 76 | 29 | float* yp = y.host_f32_mut(); | |
| 77 |
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904 | for (int i = 0; i < n; ++i) yp[i] = std::cos(xp[i]); |
| 78 | 29 | } | |
| 79 | |||
| 80 | 2 | void cos_backward(const ::brotensor::Tensor& x, const ::brotensor::Tensor& dY, | |
| 81 | ::brotensor::Tensor& dX) { | ||
| 82 | 2 | check_fp32(x, "cos_backward", "x"); | |
| 83 | 2 | check_fp32(dY, "cos_backward", "dY"); | |
| 84 |
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2 | if (dX.rows != x.rows || dX.cols != x.cols || dX.dtype != Dtype::FP32) { |
| 85 | 2 | dX.resize(x.rows, x.cols, Dtype::FP32); | |
| 86 | 2 | } | |
| 87 | 2 | const int n = x.size(); | |
| 88 |
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2 | if (n == 0) return; |
| 89 | 2 | const float* xp = x.host_f32(); | |
| 90 | 2 | const float* dyp = dY.host_f32(); | |
| 91 | 2 | float* dxp = dX.host_f32_mut(); // overwrite — dX may alias dY | |
| 92 |
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49 | for (int i = 0; i < n; ++i) dxp[i] = -dyp[i] * std::sin(xp[i]); |
| 93 | 2 | } | |
| 94 | |||
| 95 | // ─── rsqrt ─────────────────────────────────────────────────────────────────── | ||
| 96 | |||
| 97 | 29 | void rsqrt_forward(const ::brotensor::Tensor& x, ::brotensor::Tensor& y) { | |
| 98 | 29 | check_fp32(x, "rsqrt_forward", "x"); | |
| 99 |
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29 | if (y.rows != x.rows || y.cols != x.cols || y.dtype != Dtype::FP32) { |
| 100 | 28 | y.resize(x.rows, x.cols, Dtype::FP32); | |
| 101 | 28 | } | |
| 102 | 29 | const int n = x.size(); | |
| 103 |
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29 | if (n == 0) return; |
| 104 | 29 | const float* xp = x.host_f32(); | |
| 105 | 29 | float* yp = y.host_f32_mut(); | |
| 106 |
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904 | for (int i = 0; i < n; ++i) yp[i] = 1.0f / std::sqrt(xp[i]); |
| 107 | 29 | } | |
| 108 | |||
| 109 | 4 | void rsqrt_backward(const ::brotensor::Tensor& y, const ::brotensor::Tensor& dY, | |
| 110 | ::brotensor::Tensor& dX) { | ||
| 111 | 4 | check_fp32(y, "rsqrt_backward", "y"); | |
| 112 | 4 | check_fp32(dY, "rsqrt_backward", "dY"); | |
| 113 |
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4 | if (dX.rows != y.rows || dX.cols != y.cols || dX.dtype != Dtype::FP32) { |
| 114 | 4 | dX.resize(y.rows, y.cols, Dtype::FP32); | |
| 115 | 4 | } | |
| 116 | 4 | const int n = y.size(); | |
| 117 |
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4 | if (n == 0) return; |
| 118 | 4 | const float* yp = y.host_f32(); | |
| 119 | 4 | const float* dyp = dY.host_f32(); | |
| 120 | 4 | float* dxp = dX.host_f32_mut(); // overwrite — dX may alias dY | |
| 121 | // y = x^{-1/2} ⇒ dy/dx = -1/2 x^{-3/2} = -1/2 y^3. | ||
| 122 |
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571 | for (int i = 0; i < n; ++i) dxp[i] = -0.5f * dyp[i] * yp[i] * yp[i] * yp[i]; |
| 123 | 4 | } | |
| 124 | |||
| 125 | // ─── pixel_norm ────────────────────────────────────────────────────────────── | ||
| 126 | |||
| 127 | 52 | void pixel_norm_forward(const ::brotensor::Tensor& X, float eps, | |
| 128 | ::brotensor::Tensor& Y) { | ||
| 129 | 52 | check_fp32(X, "pixel_norm_forward", "X"); | |
| 130 |
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52 | if (Y.rows != X.rows || Y.cols != X.cols || Y.dtype != Dtype::FP32) { |
| 131 | 52 | Y.resize(X.rows, X.cols, Dtype::FP32); | |
| 132 | 52 | } | |
| 133 | 52 | const int R = X.rows, C = X.cols; | |
| 134 |
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52 | if (R == 0 || C == 0) return; |
| 135 | 52 | const float* xp = X.host_f32(); | |
| 136 | 52 | float* yp = Y.host_f32_mut(); | |
| 137 |
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262 | for (int r = 0; r < R; ++r) { |
| 138 | 210 | const float* xr = xp + static_cast<size_t>(r) * C; | |
| 139 | 210 | float* yr = yp + static_cast<size_t>(r) * C; | |
| 140 | 210 | float ss = 0.0f; | |
| 141 |
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3448 | for (int c = 0; c < C; ++c) ss += xr[c] * xr[c]; |
| 142 | 210 | const float rinv = 1.0f / std::sqrt(ss / static_cast<float>(C) + eps); | |
| 143 |
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3448 | for (int c = 0; c < C; ++c) yr[c] = xr[c] * rinv; |
| 144 | 210 | } | |
| 145 | 52 | } | |
| 146 | |||
| 147 | 4 | void pixel_norm_backward(const ::brotensor::Tensor& X, | |
| 148 | const ::brotensor::Tensor& dY, float eps, | ||
| 149 | ::brotensor::Tensor& dX) { | ||
| 150 | 4 | check_fp32(X, "pixel_norm_backward", "X"); | |
| 151 | 4 | check_fp32(dY, "pixel_norm_backward", "dY"); | |
| 152 |
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4 | if (dX.rows != X.rows || dX.cols != X.cols || dX.dtype != Dtype::FP32) { |
| 153 | 4 | dX.resize(X.rows, X.cols, Dtype::FP32); | |
| 154 | 4 | } | |
| 155 | 4 | const int R = X.rows, C = X.cols; | |
| 156 |
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4 | if (R == 0 || C == 0) return; |
| 157 | 4 | const float* xp = X.host_f32(); | |
| 158 | 4 | const float* dyp = dY.host_f32(); | |
| 159 | 4 | float* dxp = dX.host_f32_mut(); // overwrite — dX may alias dY | |
| 160 | 4 | const float invC = 1.0f / static_cast<float>(C); | |
| 161 |
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22 | for (int r = 0; r < R; ++r) { |
| 162 | 18 | const float* xr = xp + static_cast<size_t>(r) * C; | |
| 163 | 18 | const float* dyr = dyp + static_cast<size_t>(r) * C; | |
| 164 | 18 | float* dxr = dxp + static_cast<size_t>(r) * C; | |
| 165 | 18 | float ss = 0.0f, s = 0.0f; | |
| 166 |
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2104 | for (int c = 0; c < C; ++c) { |
| 167 | 2086 | ss += xr[c] * xr[c]; | |
| 168 | 2086 | s += dyr[c] * xr[c]; | |
| 169 | 2086 | } | |
| 170 | 18 | const float rinv = 1.0f / std::sqrt(ss * invC + eps); | |
| 171 | 18 | const float r3s = rinv * rinv * rinv * s * invC; | |
| 172 | // Read s/ss before writing so an in-place dX==dY alias is safe. | ||
| 173 |
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2104 | for (int c = 0; c < C; ++c) dxr[c] = rinv * dyr[c] - r3s * xr[c]; |
| 174 | 18 | } | |
| 175 | 4 | } | |
| 176 | |||
| 177 | } // namespace brotensor::detail::cpu | ||
| 178 |