llama : implement YaRN RoPE scaling (#2268)
Co-authored-by: cebtenzzre <cebtenzzre@gmail.com> Co-authored-by: Jeffrey Quesnelle <jquesnelle@gmail.com>
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15 changed files with 763 additions and 257 deletions
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@ -1061,6 +1061,45 @@ kernel void kernel_alibi_f32(
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}
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}
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static float rope_yarn_ramp(const float low, const float high, const int i0) {
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const float y = (i0 / 2 - low) / max(0.001f, high - low);
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return 1.0f - min(1.0f, max(0.0f, y));
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}
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// YaRN algorithm based on LlamaYaRNScaledRotaryEmbedding.py from https://github.com/jquesnelle/yarn
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// MIT licensed. Copyright (c) 2023 Jeffrey Quesnelle and Bowen Peng.
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static void rope_yarn(
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float theta_extrap, float freq_scale, float corr_dims[2], int64_t i0, float ext_factor, float mscale,
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float * cos_theta, float * sin_theta
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) {
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// Get n-d rotational scaling corrected for extrapolation
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float theta_interp = freq_scale * theta_extrap;
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float theta = theta_interp;
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if (ext_factor != 0.0f) {
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ramp_mix = rope_yarn_ramp(corr_dims[0], corr_dims[1], i0) * ext_factor;
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theta = theta_interp * (1 - ramp_mix) + theta_extrap * ramp_mix;
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// Get n-d magnitude scaling corrected for interpolation
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mscale *= 1.0f + 0.1f * logf(1.0f / freq_scale);
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}
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*cos_theta = cosf(theta) * mscale;
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*sin_theta = sinf(theta) * mscale;
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}
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// Apparently solving `n_rot = 2pi * x * base^((2 * max_pos_emb) / n_dims)` for x, we get
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// `corr_fac(n_rot) = n_dims * log(max_pos_emb / (n_rot * 2pi)) / (2 * log(base))`
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static float rope_yarn_corr_factor(int n_dims, int n_orig_ctx, float n_rot, float base) {
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return n_dims * log(n_orig_ctx / (n_rot * 2 * M_PI_F)) / (2 * log(base));
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}
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static void rope_yarn_corr_dims(
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int n_dims, int n_orig_ctx, float freq_base, float beta_fast, float beta_slow, float dims[2]
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) {
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// start and end correction dims
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dims[0] = max(0.0f, floor(rope_yarn_corr_factor(n_dims, n_orig_ctx, beta_fast, freq_base)));
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dims[1] = min(n_dims - 1.0f, ceil(rope_yarn_corr_factor(n_dims, n_orig_ctx, beta_slow, freq_base)));
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}
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typedef void (rope_t)(
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device const void * src0,
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device const int32_t * src1,
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@ -1116,6 +1155,10 @@ kernel void kernel_rope(
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constant int & mode,
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constant float & freq_base,
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constant float & freq_scale,
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constant float & ext_factor,
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constant float & attn_factor,
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constant float & beta_fast,
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constant float & beta_slow,
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uint tiitg[[thread_index_in_threadgroup]],
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uint3 tptg[[threads_per_threadgroup]],
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uint3 tgpig[[threadgroup_position_in_grid]]) {
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@ -1125,19 +1168,22 @@ kernel void kernel_rope(
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const bool is_neox = mode & 2;
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float corr_dims[2];
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rope_yarn_corr_dims(n_dims, n_orig_ctx, freq_base, beta_fast, beta_slow, corr_dims);
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device const int32_t * pos = src1;
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const int64_t p = pos[i2];
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const float theta_0 = freq_scale * (float)p;
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const float theta_0 = (float)p;
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const float inv_ndims = -1.f/n_dims;
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if (!is_neox) {
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for (int64_t i0 = 2*tiitg; i0 < ne0; i0 += 2*tptg.x) {
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const float theta = theta_0 * pow(freq_base, inv_ndims*i0);
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const float cos_theta = cos(theta);
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const float sin_theta = sin(theta);
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float cos_theta, sin_theta;
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rope_yarn(theta, freq_scale, corr_dims, i0, ext_factor, attn_factor, &cos_theta, &sin_theta);
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device const T * const src = (device T *)((device char *) src0 + i3*nb03 + i2*nb02 + i1*nb01 + i0*nb00);
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device T * dst_data = (device T *)((device char *) dst + i3*nb3 + i2*nb2 + i1*nb1 + i0*nb0);
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@ -1152,9 +1198,12 @@ kernel void kernel_rope(
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for (int64_t ib = 0; ib < ne0/n_dims; ++ib) {
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for (int64_t ic = 2*tiitg; ic < n_dims; ic += 2*tptg.x) {
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const float theta = theta_0 * pow(freq_base, inv_ndims*ic - ib);
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const float cos_theta = cos(theta);
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const float sin_theta = sin(theta);
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// simplified from `(ib * n_dims + ic) * inv_ndims`
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const float cur_rot = inv_ndims*ic - ib;
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const float theta = theta_0 * pow(freq_base, cur_rot);
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float cos_theta, sin_theta;
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rope_yarn(theta, freq_scale, corr_dims, cur_rot, ext_factor, attn_factor, &cos_theta, &sin_theta);
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const int64_t i0 = ib*n_dims + ic/2;
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