package sample import ( "math" "slices" ) // temperature applies scaling and softmax to the logits func temperature(ts []token, temp float32) []token { // Find max logit for numerical stability maxLogit := float32(math.Inf(-1)) for _, t := range ts { if t.value > maxLogit { maxLogit = t.value } } // Apply temperature and compute exp(x - max) temp = max(temp, 1e-7) var sum float32 for i, v := range ts { ts[i].value = float32(math.Exp(float64((v.value - maxLogit) / temp))) sum += ts[i].value } // Normalize for i := range ts { ts[i].value /= sum } return ts } // siftDown maintains a min-heap property by recursively moving larger elements down the heap. // // The heap is represented as an array where for any node at index i: // - Left child is at index 2i + 1 // - Right child is at index 2i + 2 // - Parent is at index (i-1)/2 // // The function compares a node with its children and: // 1. Finds the smallest value between the node and its children // 2. If the node is not the smallest, swaps it with its smallest child // 3. Continues this process down the affected path until the min-heap property is restored func siftDown(data []token, start, end int) { root := start for { child := 2*root + 1 if child >= end { break } // Find smaller child (we want min heap) if child+1 < end && data[child+1].value < data[child].value { child++ } // Exit if root is already smaller than children if data[root].value <= data[child].value { break } // Swap with smaller child and continue data[root], data[child] = data[child], data[root] root = child } } // topK limits the number of tokens considered to the k highest logits func topK(ts []token, k int) []token { if k >= len(ts) { return ts } // Heapify + siftDown - O(nlog(k)) // Build min-heap of first k elements heap := ts[:k] for i := k/2 - 1; i >= 0; i-- { siftDown(heap, i, k) } // Process remaining elements - if larger than heap root, replace root for i := k; i < len(ts); i++ { if ts[i].value > heap[0].value { heap[0] = ts[i] siftDown(heap, 0, k) } } slices.Reverse(heap) ts = heap return ts } // topP limits tokens to those with cumulative probability p func topP(ts []token, p float32) []token { if p == 1.0 { return ts } // Find cutoff index where cumulative sum exceeds p var sum float32 for i, t := range ts { sum += t.value if sum > float32(p) { ts = ts[:i+1] return ts } } return ts } // minP limits tokens to those with cumulative probability p func minP(ts []token, p float32) []token { if p == 1.0 { return ts } maxProb := float32(math.Inf(-1)) for _, token := range ts { if token.value > maxProb { maxProb = token.value } } threshold := maxProb * float32(p) // Filter tokens in-place validTokens := ts[:0] for i, token := range ts { if token.value >= threshold { validTokens = append(validTokens, ts[i]) } } ts = validTokens return ts } // TODO(parthsareen): possibly replace with simpler implementation https://github.com/ollama/ollama/issues/9584 // sortLogits sorts implementation to sort tokens by logits using counting sort // counting sort is faster than built-in sort for this use case func sortLogits(tokens []token) { if len(tokens) <= 1 { return } // Find max/min in a single pass minLogit, maxLogit := tokens[0].value, tokens[0].value for _, t := range tokens[1:] { if t.value < minLogit { minLogit = t.value } else if t.value > maxLogit { maxLogit = t.value } } // Calculate scaling to map to uint32 range logitRange := maxLogit - minLogit if logitRange < 1e-6 { return // All values effectively equal } // Count frequencies directly from tokens const maxInt = (1 << 24) - 1 // Use 24 bits for good granularity var counts [256]int // For first byte // First pass: count frequencies for _, t := range tokens { // Map to [0, maxInt] range score := min(uint32((t.value-minLogit)*float32(maxInt)/logitRange), maxInt) counts[score>>16]++ } // Calculate offsets var offset int for i := range counts { count := counts[i] counts[i] = offset offset += count } // Second pass: place elements in correct position output := make([]token, len(tokens)) // Track current positions countsCopy := counts for i, t := range tokens { score := min(uint32((t.value-minLogit)*float32(maxInt)/logitRange), maxInt) pos := countsCopy[score>>16] countsCopy[score>>16]++ output[len(tokens)-1-pos] = tokens[i] } copy(tokens, output) }