diff --git a/PiRC1/4-allocation/4-allocation design 3.md b/PiRC1/4-allocation/4-allocation design 3.md new file mode 100644 index 00000000..a9c312e4 --- /dev/null +++ b/PiRC1/4-allocation/4-allocation design 3.md @@ -0,0 +1,191 @@ +## 4 Allocation Period + +This section describes an **optimal fairness** allocation option. It will +provide maximal allocations that satiisfy commitment constraints while +optimizing fairness. Note that this option does not deal with liquidity or +engagement rewards. + +The allocation process is one of multiple objective functions. In this case, +maximizing the total allocation measured in $\pi$ and maximizing the +dimensionless measure of fairness. To solve this problem, a blending term, +$\lambda$ was introduced to transition from full focus on allocation +($\lambda=0$) to full focus on fairness ($\lambda=1$). Quadratic programming was selected +as the optimization mechanism. The graph below report allocations tha +maximized the combined objective function while maintaining the allocation +constraints from the participants commitment. Details of the process are +described below. The following graph summarizes the different allocations +for a range of $\lambda$s. The allocation only point is not plotted, as +$5,385,464$ is significantly larger than the rest of the values. + +

+ Total assignment versus blending parameter lambda (launchpad cohort) +

+ + +**Notation:** +- $s_i$ is the stake of an participant representing their desire to purchase project tokens +- $S$ is the combined stakes of all participant ($\sum_i s_i$) +- $c_i$ is the Pi commitment of a participent +- $C$ = total Pi committed by participants to purchase tokens of a project ($\sum_i c_i$) +- $a_i$ is the allocation of tokens to a participent +- $A$ is the total allocation of tokens ($\sum_i a_i$) + +### Fairness + +In this design option, we define a fair allocation to be one where a +participant recieves an allocation rate equal to their stake rate. The +stake rate is $s_i/S$ and the allocation rate is $a_i/A$. Therefore, a +fair allocaiton occurss when + +$$s_i/S = a_i/A$$ + +We can convert this constraint into a fairness measure across all participents. + +$$ F = \sum_i -(s_i/S - a_i/A)^2 $$ + +Fairness is negated so we can talk about maximizing fairness, as unfair allocations will be negative. + +With this definition we can establish the following optimization problme + +Find $\forall_i a_i$\ +maximizing $A$ and $F$\ +under the constraints $\forall_i 0 < a_i \le c_i$ + +With this formulation, it is possible to find satisfactory allocations using +quadratic programming. + +Given the two optimization objectives described above, it is impossible to +provide a single optimizing assignment. What we can do, however, is provide a Pareto +frontier of optimal solutions for a given blending factor, $\lambda$. This +factor will range from zero for no fairness, to one for nothing but fairness. +A value of one half will balance the two objective functions. The leaves us +with a new optimization problem + +Find $\forall_i a_i$\ +maximizing $(1 - \lambda) A + \lambda F$\ +under the constraints $\forall_i 0 < a_i \le c_i$ + +Our optimization system will take a list of stakes and commitments from +participants and produce a set of allocations for $\lambda \in {0, 0.25, 0.5, +0.75, 1.0}$ + +## Special Cases +### Commitment driven ($\lambda=0$) + +When $\lambda$ is zero, the optimization will maximize only $A$. The assignment +solution in this case is simply apply the commitment. This case yields the +largest total assignment. + +### Fairness driven ($\lambda=1$) +When $\lambda$ is one, the optimization will maximize only $F$. The assignment +solution in this case is to find the smalles $c_i S / s_i$ across participents. +Using this assignment cap, it is possible to make assignments with maximal +fairness across the pool. This case yields the smallest total assignment. + +Due to this behavior, it will be usefull to remove small commitments from +the data set before processing. + +## Application + +The process described above was applied to the participant data in +`launchpad_user_stake_commit_totals.csv`. All commitments strictly less than +1 Pi were excluded from analysis. That reduced participants from 76046 to +74599. + +The reference implementation is `sample/make_assignments.rb`: it writes +`assignments.csv` and prints a per-$\lambda$ summary on standard output. + +### Standard output (summary table) + +After each run, a table like the following is printed (column **total_assignment** +is rounded to a whole number; **fairness_F**, **avg_fairness**, and +**std_fairness** use five significant figures). + +| lambda | total_assignment | fairness_F | avg_fairness | std_fairness | +|--------|------------------|------------|--------------|--------------| +| 0.00 | 5385464 | -0.0028664 | -3.8424e-08 | 0.00019602 | +| 0.25 | 25144 | -4.513e-05 | -6.0497e-10 | 2.4596e-05 | +| 0.50 | 13367 | -2.8334e-05 | -3.7982e-10 | 1.9489e-05 | +| 0.75 | 6367 | -2.4247e-05 | -3.2503e-10 | 1.8029e-05 | +| 1.00 | 373 | -8.0617e-35 | -1.0807e-39 | 3.2874e-20 | + +| Column | Meaning | +|--------|---------| +| **lambda** | Blending parameter $\lambda \in \{0, 0.25, 0.5, 0.75, 1.0\}$. | +| **total_assignment** | $A = \sum_i a_i$ for that run (integer display). | +| **fairness_F** | $F = \sum_i -(s_i/S - a_i/A)^2$. | +| **avg_fairness** | $F/n$ where $n$ is the number of participants after the commit cutoff. | +| **std_fairness** | $\sqrt{\lvert F/n\rvert}$ (same spirit as standard deviation vs variance). | + +*Context: $n = 74599$ participants; $F$ uses the formula above.* + +### File `assignments.csv` + +One row per included participant. Columns are the **original** CSV headers (in +order), followed by one numeric column per $\lambda$: + +| Column | Meaning | +|--------|---------| +| `user_id` | Participant id (from input). | +| `total_staked_amount` | Stake $s_i$. | +| `total_commit_amount` | Commitment $c_i$. | +| `assignment_lambda_0.00` | $a_i$ when $\lambda=0$. | +| `assignment_lambda_0.25` | $a_i$ when $\lambda=0.25$. | +| `assignment_lambda_0.50` | $a_i$ when $\lambda=0.5$. | +| `assignment_lambda_0.75` | $a_i$ when $\lambda=0.75$. | +| `assignment_lambda_1.00` | $a_i$ when $\lambda=1$. | + +If the input contains additional columns before the assignments, they are +preserved in order between the stake/commit fields and the +`assignment_lambda_*` columns. + +### Longitudinal study + +The data reported below examine the $\lambda$ space in greater detail. Again +there is a large drop in total assignment once a small amount of fairness is +considered. Most striking is the spike at $\lambda = 0.3$: the 109k total +assignment is about five times what would be expected from linear interpolation. +While that might look encouraging, it resulted from an incomplete optimization +attempt. + +#### Coarse grid ($\lambda = 0.0,\, 0.1,\, \ldots,\, 1.0$) + +| lambda | total_assignment | fairness_F | avg_fairness | std_fairness | +|--------|------------------|------------|--------------|--------------| +| 0.00 | 5385464 | -0.0028664 | -3.8424e-08 | 0.00019602 | +| 0.10 | 59237 | -6.6342e-05 | -8.8931e-10 | 2.9821e-05 | +| 0.20 | 30883 | -5.0975e-05 | -6.8332e-10 | 2.614e-05 | +| 0.30 | 109746 | -2.6531e-07 | -3.5565e-12 | 1.8859e-06 | +| 0.40 | 16364 | -3.2876e-05 | -4.4071e-10 | 2.0993e-05 | +| 0.50 | 13367 | -2.8333e-05 | -3.7981e-10 | 1.9489e-05 | +| 0.60 | 11324 | -2.6204e-05 | -3.5126e-10 | 1.8742e-05 | +| 0.70 | 8017 | -2.5075e-05 | -3.3613e-10 | 1.8334e-05 | +| 0.80 | 4922 | -2.3176e-05 | -3.1067e-10 | 1.7626e-05 | +| 0.90 | 2426 | -1.9147e-05 | -2.5666e-10 | 1.6021e-05 | +| 1.00 | 373 | -8.0617e-35 | -1.0807e-39 | 3.2874e-20 | + +*Context: $n = 74599$ participants; $F = \sum_i -(s_i/S - a_i/A)^2$; $\text{std\_fairness} = \sqrt{\lvert F/n\rvert}$ (analogous to standard deviation vs variance).* + +Additional runs provide more visibility into the effect of $\lambda$ on total +assignment. + +#### Refined grid ($\lambda \in \{0.02, 0.04, 0.06, 0.08\} \cup \{0.22, 0.24, \ldots, 0.38\}$) + +| lambda | total_assignment | fairness_F | avg_fairness | std_fairness | +|--------|------------------|------------|--------------|--------------| +| 0.02 | 217815 | -9.7815e-05 | -1.3112e-09 | 3.6211e-05 | +| 0.04 | 126221 | -8.1977e-05 | -1.0989e-09 | 3.315e-05 | +| 0.06 | 92574 | -7.4899e-05 | -1.004e-09 | 3.1686e-05 | +| 0.08 | 72229 | -7.0063e-05 | -9.392e-10 | 3.0646e-05 | +| 0.22 | 28275 | -4.8505e-05 | -6.5022e-10 | 2.5499e-05 | +| 0.24 | 26102 | -4.6213e-05 | -6.1949e-10 | 2.4889e-05 | +| 0.26 | 24254 | -4.4081e-05 | -5.9091e-10 | 2.4309e-05 | +| 0.28 | 22658 | -4.2089e-05 | -5.6421e-10 | 2.3753e-05 | +| 0.32 | 95358 | -3.1316e-07 | -4.1979e-12 | 2.0489e-06 | +| 0.34 | 18968 | -3.692e-05 | -4.9491e-10 | 2.2247e-05 | +| 0.36 | 18004 | -3.5455e-05 | -4.7528e-10 | 2.1801e-05 | +| 0.38 | 17141 | -3.4105e-05 | -4.5717e-10 | 2.1382e-05 | + +*Context: same $n$, $F$, and std_fairness definitions as above.* + +These runs—with the incomplete solves at $\lambda \in \{0.30, 0.32\}$ treated as outliers—are reflected in the accompanying figure. diff --git a/PiRC1/4-allocation/4-allocation design 3.md~ b/PiRC1/4-allocation/4-allocation design 3.md~ new file mode 100644 index 00000000..3ba61897 --- /dev/null +++ b/PiRC1/4-allocation/4-allocation design 3.md~ @@ -0,0 +1,43 @@ +## 4 Allocation Period + +This section describes an **optimal fairness** allocation option. It will +provide maximal allocations that satiisfy commitment constraints while +optimizing fairness. Note that this option does not deal with liquidity or +engagement rewards. + +**Notation:** +- $s_i$ the stake of an participant +- $S$ the combined stakes of all participant +- $c_i$ the commitment of a participent +- $a_i$ the allocation of tokens to a participent +- $A$ is the total allocation of tokesn + + +- $C$ = total Pi committed by participants to purchase tokens of a project +- $T_{purchase}$ = tokens allocated to participants (purchase bucket) +- $T_{liquidity}$ = tokens reserved for liquidity seeding +- $T_{engage}$ = tokens allocated for engagement discounts +- $p_{list}$ = listing price (Pi per token) at which the LP is initialized + +### Fairness +In this design option, we define a fair allocation to be one where a +participant recieves an allocation rate equal to their stake rate. The +stake rate is $s_i/S$ and the allocation rate is $a_i/A$. Therefore, a +fair allocaiton occurss when + +$$s_i/S = a_i/A$$ + +We can convert this constraint into a fairness measure across all participents. + +$$ F = \sum_i -(s_i/S = a_i/A)^2 $$ + +Fairness is negated so we can talk about maximizing fairness, as unfair allocations will be negative. + +With this definition we can establish the following optimization problmen + +Find all $0 < a_i$\ +maximizing $A$ and $F$\ +under the constraint of $a_i$ <= c_i$ + +With this formulation, it is possible to find satisfactory allocations using +quadratic programming diff --git a/PiRC1/4-allocation/sample/.gitignore b/PiRC1/4-allocation/sample/.gitignore new file mode 100644 index 00000000..cee70099 --- /dev/null +++ b/PiRC1/4-allocation/sample/.gitignore @@ -0,0 +1 @@ +assignments.csv diff --git a/PiRC1/4-allocation/sample/.rspec b/PiRC1/4-allocation/sample/.rspec new file mode 100644 index 00000000..00cbeb35 --- /dev/null +++ b/PiRC1/4-allocation/sample/.rspec @@ -0,0 +1,4 @@ +--require spec_helper +--format documentation +--color +--tag ~slow diff --git a/PiRC1/4-allocation/sample/Gemfile b/PiRC1/4-allocation/sample/Gemfile new file mode 100644 index 00000000..e2bd48bc --- /dev/null +++ b/PiRC1/4-allocation/sample/Gemfile @@ -0,0 +1,10 @@ +# frozen_string_literal: true + +source "https://rubygems.org" + +gem "csv" # default gem; explicit for Ruby 3.4+ +gem "osqp" + +group :development, :test do + gem "rspec", "~> 3.13" +end diff --git a/PiRC1/4-allocation/sample/Gemfile.lock b/PiRC1/4-allocation/sample/Gemfile.lock new file mode 100644 index 00000000..147c019e --- /dev/null +++ b/PiRC1/4-allocation/sample/Gemfile.lock @@ -0,0 +1,33 @@ +GEM + remote: https://rubygems.org/ + specs: + csv (3.3.5) + diff-lcs (1.6.2) + fiddle (1.1.8) + osqp (0.4.2) + fiddle + rspec (3.13.2) + rspec-core (~> 3.13.0) + rspec-expectations (~> 3.13.0) + rspec-mocks (~> 3.13.0) + rspec-core (3.13.6) + rspec-support (~> 3.13.0) + rspec-expectations (3.13.5) + diff-lcs (>= 1.2.0, < 2.0) + rspec-support (~> 3.13.0) + rspec-mocks (3.13.8) + diff-lcs (>= 1.2.0, < 2.0) + rspec-support (~> 3.13.0) + rspec-support (3.13.7) + +PLATFORMS + arm64-darwin-24 + ruby + +DEPENDENCIES + csv + osqp + rspec (~> 3.13) + +BUNDLED WITH + 2.5.11 diff --git a/PiRC1/4-allocation/sample/alloc_lambda.png b/PiRC1/4-allocation/sample/alloc_lambda.png new file mode 100644 index 00000000..8289d00e Binary files /dev/null and b/PiRC1/4-allocation/sample/alloc_lambda.png differ diff --git a/PiRC1/4-allocation/sample/assignments.rb b/PiRC1/4-allocation/sample/assignments.rb new file mode 100644 index 00000000..10933e82 --- /dev/null +++ b/PiRC1/4-allocation/sample/assignments.rb @@ -0,0 +1,304 @@ +# frozen_string_literal: true + +require "csv" +require "osqp" + +# Optimal fairness allocation per ../4-allocation design 3.md: +# For blending parameter λ ∈ [0, 1], maximize (1 - λ) A + λ F with +# F = Σ_i -(s_i/S - a_i/A)^2 +# using auxiliary A and Σ_i a_i = A so rate mismatch is Σ_i (a_i - (s_i/S) A)^2 / A^2; +# the QP uses the same proportional penalty Σ_i (a_i - (s_i/S) A)^2 blended with A (exact at λ=0,1). +# +# CSV columns (e.g. ./launchpad_user_stake_commit_totals.csv in this directory): +# user_id, total_staked_amount, total_commit_amount +# Rows with total_commit_amount below the instance cutoff are skipped (not optimized or exported). +class Assignments + REQUIRED_HEADERS = %w[user_id total_staked_amount total_commit_amount].freeze + + # Default for {#initialize} +min_commit_for_analysis:+. + DEFAULT_MIN_COMMIT_FOR_ANALYSIS = 1.0 + + # Default for {#initialize} +lambda_grid:+ (design doc: 0 = weight only total A, 1 = weight only fairness). + DEFAULT_LAMBDA_GRID = [0.0, 0.25, 0.5, 0.75, 1.0].freeze + + attr_reader :assignments, :total_assignment + attr_reader :assignments_by_lambda, :total_assignment_by_lambda + attr_reader :user_ids, :stakes, :commits, :loaded_path + attr_reader :min_commit_for_analysis, :lambda_grid + # One CSV row per participant in file order (headers downcased like {#load}); use for export. + attr_reader :csv_headers, :participant_rows + + # @param min_commit_for_analysis [Numeric] rows with +total_commit_amount+ strictly below this are ignored + # @param lambda_grid [Enumerable] default λ list for {#assign} when +lambdas:+ is omitted + def initialize(min_commit_for_analysis: DEFAULT_MIN_COMMIT_FOR_ANALYSIS, lambda_grid: DEFAULT_LAMBDA_GRID) + @min_commit_for_analysis = min_commit_for_analysis.to_f + @lambda_grid = Array(lambda_grid).map(&:to_f).freeze + @user_ids = [] + @stakes = [] + @commits = [] + @csv_headers = nil + @participant_rows = [] + @loaded_path = nil + @assignments = nil + @total_assignment = nil + @assignments_by_lambda = nil + @total_assignment_by_lambda = nil + end + + # @param filename [String] path to CSV (e.g. launchpad_user_stake_commit_totals.csv) + def load(filename) + @loaded_path = filename + @user_ids = [] + @stakes = [] + @commits = [] + @csv_headers = nil + @participant_rows = [] + @assignments = nil + @total_assignment = nil + @assignments_by_lambda = nil + @total_assignment_by_lambda = nil + + CSV.foreach(filename, headers: true, header_converters: :downcase) do |row| + missing = REQUIRED_HEADERS - row.headers.compact.map(&:downcase) + raise ArgumentError, "CSV missing headers: #{missing.join(', ')}" if missing.any? && @user_ids.empty? + + c = Float(row["total_commit_amount"]) + next if c < @min_commit_for_analysis + + @csv_headers ||= row.headers + @participant_rows << CSV::Row.new(row.headers, row.fields) + + uid = row["user_id"] + s = Float(row["total_staked_amount"]) + @user_ids << uid + @stakes << s + @commits << c + end + + self + end + + # Runs {#assign_with_lambda} for each λ in +lambdas+, or in {#lambda_grid} if +lambdas+ is +nil+. + # Populates {#assignments_by_lambda} and {#total_assignment_by_lambda}. + # Sets {#assignments} / {#total_assignment} to the λ = 0.5 entry when present, else the last λ. + # + # @param lambdas [Enumerable, nil] blending values in [0, 1]; +nil+ means use {#lambda_grid} + # @param osqp_settings [Hash] passed to OSQP::Solver#solve for interior λ + # @param osqp_progress [Boolean] when true, print OSQP start/finish lines to stderr + def assign(lambdas: nil, osqp_settings: {}, osqp_progress: true) + raise "load a CSV first" if @user_ids.empty? + + list = (lambdas.nil? ? @lambda_grid : lambdas).map(&:to_f) + @assignments_by_lambda = {} + @total_assignment_by_lambda = {} + + list.each do |lam| + assign_with_lambda(lam, osqp_settings: osqp_settings, osqp_progress: osqp_progress) + @assignments_by_lambda[lam] = @assignments.dup + @total_assignment_by_lambda[lam] = @total_assignment + end + + preferred = list.include?(0.5) ? 0.5 : list.last + @assignments = @assignments_by_lambda[preferred] + @total_assignment = @total_assignment_by_lambda[preferred] + + self + end + + # Quadratic-programming solve (OSQP) for a single λ, except λ = 0 and λ = 1 where closed forms apply. + # + # Objective (minimize): λ · Σ_i (a_i - (s_i/S) A)^2 - (1 - λ) · A with Σ_i a_i = A, 0 ≤ a_i ≤ c_i. + # + # @param blend_lambda [Numeric] λ in [0, 1] + # @param osqp_settings [Hash] passed to OSQP::Solver#solve + # @param osqp_progress [Boolean] when true, print OSQP start/finish lines to stderr + def assign_with_lambda(blend_lambda, osqp_settings: {}, osqp_progress: true) + raise "load a CSV first" if @user_ids.empty? + + lam = blend_lambda.to_f + raise ArgumentError, "lambda must be in [0, 1], got #{lam}" if lam.negative? || lam > 1.0 + + if lam <= 0.0 + assign_lambda_zero! + elsif lam >= 1.0 + assign_closed_form! + else + solve_osqp_for_lambda!(lam, osqp_settings, osqp_progress: osqp_progress) + end + + self + end + + private + + # λ = 0: maximize A only → a_i = c_i, A = Σ c_i + def assign_lambda_zero! + n = @user_ids.size + c_vec = @commits + @assignments = {} + n.times { |i| @assignments[@user_ids[i]] = c_vec[i] } + @total_assignment = c_vec.sum + end + + # λ = 1: proportional fair caps — a_i = A · s_i/S, A = min_{s_i>0}(c_i S / s_i) + def assign_closed_form! + n = @user_ids.size + s_vec = @stakes + c_vec = @commits + stake_sum = s_vec.sum + raise ArgumentError, "total stake S must be positive" if stake_sum <= 0 + + cap_a = Float::INFINITY + n.times do |i| + si = s_vec[i] + next if si <= 0 + + ci = c_vec[i] + cap = ci * stake_sum / si + cap_a = cap if cap < cap_a + end + raise ArgumentError, "no positive-stake row to anchor A" if cap_a.infinite? + + @assignments = {} + n.times do |i| + si = s_vec[i] + ai = si.positive? ? cap_a * si / stake_sum : 0.0 + @assignments[@user_ids[i]] = ai + end + @total_assignment = cap_a + end + + def solve_osqp_for_lambda!(lam, osqp_settings, osqp_progress:) + n = @user_ids.size + s_vec = @stakes + c_vec = @commits + stake_sum = s_vec.sum + raise ArgumentError, "total stake S must be positive" if stake_sum <= 0 + + w = s_vec.map { |si| si / stake_sum } + n1 = n + 1 + + # minimize lam * Q - (1-lam) * A with Q = sum (a_i - w_i A)^2 + # Scale by 1/lam so P stays O(1): minimize Q - ((1-lam)/lam) * A + inv_lam = 1.0 / lam + coef_a = (1.0 - lam) * inv_lam + + p = OSQP::Matrix.new(n1, n1) + w_sq_sum = w.sum { |wi| wi * wi } + n.times do |i| + p[i, i] = 2.0 + p[i, n] = -2.0 * w[i] + end + p[n, n] = 2.0 * w_sq_sum + + q = Array.new(n1, 0.0) + q[n] = -coef_a + + a_mat = OSQP::Matrix.new(2 + n, n1) + n.times do |i| + a_mat[0, i] = 1.0 + end + a_mat[0, n] = -1.0 + + l = [0.0] + u = [0.0] + + n.times do |i| + row = 1 + i + a_mat[row, i] = 1.0 + l << 0.0 + u << c_vec[i] + end + + a_big_row = 1 + n + a_mat[a_big_row, n] = 1.0 + l << 0.0 + u << c_vec.sum + 1.0 + + if osqp_progress + warn format( + "Assignments: OSQP starting λ=%g (n=%d participants, %d variables, %d constraints)", + lam, + n, + n1, + a_mat.m + ) + end + + large_problem = n > 10_000 + default_osqp = { + verbose: false, + # Large QPs: tight eps + low max_iter often hit iteration limit at mid-λ; relax slightly and allow more iters. + eps_abs: large_problem ? 1e-6 : 1e-8, + eps_rel: large_problem ? 1e-6 : 1e-8, + max_iter: large_problem ? 2_000_000 : 200_000, + adaptive_rho: 1, + scaling: 10, + polishing: 0 + } + + solver = OSQP::Solver.new + wall_start = Process.clock_gettime(Process::CLOCK_MONOTONIC) + result = solver.solve( + p, q, a_mat, l, u, + **default_osqp.merge(osqp_settings) + ) + wall_secs = Process.clock_gettime(Process::CLOCK_MONOTONIC) - wall_start + + osqp_secs = result[:solve_time] || result[:run_time] + osqp_part = osqp_secs ? format(" OSQP_solve=%.3fs", osqp_secs) : "" + if osqp_progress + warn format( + "Assignments: OSQP finished λ=%g status=%s iterations=%d wall=%.3fs%s", + lam, + result[:status], + result[:iter], + wall_secs, + osqp_part + ) + end + + ok = result[:status] == "solved" || result[:status] == "solved inaccurate" + pr = result[:pri_res] + dr = result[:dua_res] + max_iter_stop = result[:status].to_s.include?("maximum") || result[:status].to_s.include?("iterations reached") + + unless ok + # Tight residuals (scaled problem): sometimes met before true "solved" flag. + if max_iter_stop && pr && dr && pr < 0.01 && dr < 0.01 + if osqp_progress + warn format( + "Assignments: OSQP λ=%g hit iteration limit; accepting approximate solution (pri_res=%g dua_res=%g)", + lam, + pr, + dr + ) + end + ok = true + end + # Large QPs at mid-λ often stall on KKT; last iterate is still usable for allocation tuning — see spec/osqp_mid_lambda_spec.rb. + if !ok && max_iter_stop && large_problem + if osqp_progress + warn format( + "Assignments: OSQP λ=%g hit max_iter=%d; using last iterate (pri_res=%g dua_res=%g). Tune eps_abs/eps_rel/max_iter in solve_osqp_for_lambda! if you need tighter KKT.", + lam, + result[:iter], + pr.to_f, + dr.to_f + ) + end + ok = true + end + end + + raise "OSQP failed: status=#{result[:status]} (#{result[:status_val]})" unless ok + + x = result[:x] + a_vals = x.take(n) + @total_assignment = a_vals.sum + @assignments = {} + n.times do |i| + @assignments[@user_ids[i]] = a_vals[i] + end + end +end diff --git a/PiRC1/4-allocation/sample/assignments.rb~ b/PiRC1/4-allocation/sample/assignments.rb~ new file mode 100644 index 00000000..10933e82 --- /dev/null +++ b/PiRC1/4-allocation/sample/assignments.rb~ @@ -0,0 +1,304 @@ +# frozen_string_literal: true + +require "csv" +require "osqp" + +# Optimal fairness allocation per ../4-allocation design 3.md: +# For blending parameter λ ∈ [0, 1], maximize (1 - λ) A + λ F with +# F = Σ_i -(s_i/S - a_i/A)^2 +# using auxiliary A and Σ_i a_i = A so rate mismatch is Σ_i (a_i - (s_i/S) A)^2 / A^2; +# the QP uses the same proportional penalty Σ_i (a_i - (s_i/S) A)^2 blended with A (exact at λ=0,1). +# +# CSV columns (e.g. ./launchpad_user_stake_commit_totals.csv in this directory): +# user_id, total_staked_amount, total_commit_amount +# Rows with total_commit_amount below the instance cutoff are skipped (not optimized or exported). +class Assignments + REQUIRED_HEADERS = %w[user_id total_staked_amount total_commit_amount].freeze + + # Default for {#initialize} +min_commit_for_analysis:+. + DEFAULT_MIN_COMMIT_FOR_ANALYSIS = 1.0 + + # Default for {#initialize} +lambda_grid:+ (design doc: 0 = weight only total A, 1 = weight only fairness). + DEFAULT_LAMBDA_GRID = [0.0, 0.25, 0.5, 0.75, 1.0].freeze + + attr_reader :assignments, :total_assignment + attr_reader :assignments_by_lambda, :total_assignment_by_lambda + attr_reader :user_ids, :stakes, :commits, :loaded_path + attr_reader :min_commit_for_analysis, :lambda_grid + # One CSV row per participant in file order (headers downcased like {#load}); use for export. + attr_reader :csv_headers, :participant_rows + + # @param min_commit_for_analysis [Numeric] rows with +total_commit_amount+ strictly below this are ignored + # @param lambda_grid [Enumerable] default λ list for {#assign} when +lambdas:+ is omitted + def initialize(min_commit_for_analysis: DEFAULT_MIN_COMMIT_FOR_ANALYSIS, lambda_grid: DEFAULT_LAMBDA_GRID) + @min_commit_for_analysis = min_commit_for_analysis.to_f + @lambda_grid = Array(lambda_grid).map(&:to_f).freeze + @user_ids = [] + @stakes = [] + @commits = [] + @csv_headers = nil + @participant_rows = [] + @loaded_path = nil + @assignments = nil + @total_assignment = nil + @assignments_by_lambda = nil + @total_assignment_by_lambda = nil + end + + # @param filename [String] path to CSV (e.g. launchpad_user_stake_commit_totals.csv) + def load(filename) + @loaded_path = filename + @user_ids = [] + @stakes = [] + @commits = [] + @csv_headers = nil + @participant_rows = [] + @assignments = nil + @total_assignment = nil + @assignments_by_lambda = nil + @total_assignment_by_lambda = nil + + CSV.foreach(filename, headers: true, header_converters: :downcase) do |row| + missing = REQUIRED_HEADERS - row.headers.compact.map(&:downcase) + raise ArgumentError, "CSV missing headers: #{missing.join(', ')}" if missing.any? && @user_ids.empty? + + c = Float(row["total_commit_amount"]) + next if c < @min_commit_for_analysis + + @csv_headers ||= row.headers + @participant_rows << CSV::Row.new(row.headers, row.fields) + + uid = row["user_id"] + s = Float(row["total_staked_amount"]) + @user_ids << uid + @stakes << s + @commits << c + end + + self + end + + # Runs {#assign_with_lambda} for each λ in +lambdas+, or in {#lambda_grid} if +lambdas+ is +nil+. + # Populates {#assignments_by_lambda} and {#total_assignment_by_lambda}. + # Sets {#assignments} / {#total_assignment} to the λ = 0.5 entry when present, else the last λ. + # + # @param lambdas [Enumerable, nil] blending values in [0, 1]; +nil+ means use {#lambda_grid} + # @param osqp_settings [Hash] passed to OSQP::Solver#solve for interior λ + # @param osqp_progress [Boolean] when true, print OSQP start/finish lines to stderr + def assign(lambdas: nil, osqp_settings: {}, osqp_progress: true) + raise "load a CSV first" if @user_ids.empty? + + list = (lambdas.nil? ? @lambda_grid : lambdas).map(&:to_f) + @assignments_by_lambda = {} + @total_assignment_by_lambda = {} + + list.each do |lam| + assign_with_lambda(lam, osqp_settings: osqp_settings, osqp_progress: osqp_progress) + @assignments_by_lambda[lam] = @assignments.dup + @total_assignment_by_lambda[lam] = @total_assignment + end + + preferred = list.include?(0.5) ? 0.5 : list.last + @assignments = @assignments_by_lambda[preferred] + @total_assignment = @total_assignment_by_lambda[preferred] + + self + end + + # Quadratic-programming solve (OSQP) for a single λ, except λ = 0 and λ = 1 where closed forms apply. + # + # Objective (minimize): λ · Σ_i (a_i - (s_i/S) A)^2 - (1 - λ) · A with Σ_i a_i = A, 0 ≤ a_i ≤ c_i. + # + # @param blend_lambda [Numeric] λ in [0, 1] + # @param osqp_settings [Hash] passed to OSQP::Solver#solve + # @param osqp_progress [Boolean] when true, print OSQP start/finish lines to stderr + def assign_with_lambda(blend_lambda, osqp_settings: {}, osqp_progress: true) + raise "load a CSV first" if @user_ids.empty? + + lam = blend_lambda.to_f + raise ArgumentError, "lambda must be in [0, 1], got #{lam}" if lam.negative? || lam > 1.0 + + if lam <= 0.0 + assign_lambda_zero! + elsif lam >= 1.0 + assign_closed_form! + else + solve_osqp_for_lambda!(lam, osqp_settings, osqp_progress: osqp_progress) + end + + self + end + + private + + # λ = 0: maximize A only → a_i = c_i, A = Σ c_i + def assign_lambda_zero! + n = @user_ids.size + c_vec = @commits + @assignments = {} + n.times { |i| @assignments[@user_ids[i]] = c_vec[i] } + @total_assignment = c_vec.sum + end + + # λ = 1: proportional fair caps — a_i = A · s_i/S, A = min_{s_i>0}(c_i S / s_i) + def assign_closed_form! + n = @user_ids.size + s_vec = @stakes + c_vec = @commits + stake_sum = s_vec.sum + raise ArgumentError, "total stake S must be positive" if stake_sum <= 0 + + cap_a = Float::INFINITY + n.times do |i| + si = s_vec[i] + next if si <= 0 + + ci = c_vec[i] + cap = ci * stake_sum / si + cap_a = cap if cap < cap_a + end + raise ArgumentError, "no positive-stake row to anchor A" if cap_a.infinite? + + @assignments = {} + n.times do |i| + si = s_vec[i] + ai = si.positive? ? cap_a * si / stake_sum : 0.0 + @assignments[@user_ids[i]] = ai + end + @total_assignment = cap_a + end + + def solve_osqp_for_lambda!(lam, osqp_settings, osqp_progress:) + n = @user_ids.size + s_vec = @stakes + c_vec = @commits + stake_sum = s_vec.sum + raise ArgumentError, "total stake S must be positive" if stake_sum <= 0 + + w = s_vec.map { |si| si / stake_sum } + n1 = n + 1 + + # minimize lam * Q - (1-lam) * A with Q = sum (a_i - w_i A)^2 + # Scale by 1/lam so P stays O(1): minimize Q - ((1-lam)/lam) * A + inv_lam = 1.0 / lam + coef_a = (1.0 - lam) * inv_lam + + p = OSQP::Matrix.new(n1, n1) + w_sq_sum = w.sum { |wi| wi * wi } + n.times do |i| + p[i, i] = 2.0 + p[i, n] = -2.0 * w[i] + end + p[n, n] = 2.0 * w_sq_sum + + q = Array.new(n1, 0.0) + q[n] = -coef_a + + a_mat = OSQP::Matrix.new(2 + n, n1) + n.times do |i| + a_mat[0, i] = 1.0 + end + a_mat[0, n] = -1.0 + + l = [0.0] + u = [0.0] + + n.times do |i| + row = 1 + i + a_mat[row, i] = 1.0 + l << 0.0 + u << c_vec[i] + end + + a_big_row = 1 + n + a_mat[a_big_row, n] = 1.0 + l << 0.0 + u << c_vec.sum + 1.0 + + if osqp_progress + warn format( + "Assignments: OSQP starting λ=%g (n=%d participants, %d variables, %d constraints)", + lam, + n, + n1, + a_mat.m + ) + end + + large_problem = n > 10_000 + default_osqp = { + verbose: false, + # Large QPs: tight eps + low max_iter often hit iteration limit at mid-λ; relax slightly and allow more iters. + eps_abs: large_problem ? 1e-6 : 1e-8, + eps_rel: large_problem ? 1e-6 : 1e-8, + max_iter: large_problem ? 2_000_000 : 200_000, + adaptive_rho: 1, + scaling: 10, + polishing: 0 + } + + solver = OSQP::Solver.new + wall_start = Process.clock_gettime(Process::CLOCK_MONOTONIC) + result = solver.solve( + p, q, a_mat, l, u, + **default_osqp.merge(osqp_settings) + ) + wall_secs = Process.clock_gettime(Process::CLOCK_MONOTONIC) - wall_start + + osqp_secs = result[:solve_time] || result[:run_time] + osqp_part = osqp_secs ? format(" OSQP_solve=%.3fs", osqp_secs) : "" + if osqp_progress + warn format( + "Assignments: OSQP finished λ=%g status=%s iterations=%d wall=%.3fs%s", + lam, + result[:status], + result[:iter], + wall_secs, + osqp_part + ) + end + + ok = result[:status] == "solved" || result[:status] == "solved inaccurate" + pr = result[:pri_res] + dr = result[:dua_res] + max_iter_stop = result[:status].to_s.include?("maximum") || result[:status].to_s.include?("iterations reached") + + unless ok + # Tight residuals (scaled problem): sometimes met before true "solved" flag. + if max_iter_stop && pr && dr && pr < 0.01 && dr < 0.01 + if osqp_progress + warn format( + "Assignments: OSQP λ=%g hit iteration limit; accepting approximate solution (pri_res=%g dua_res=%g)", + lam, + pr, + dr + ) + end + ok = true + end + # Large QPs at mid-λ often stall on KKT; last iterate is still usable for allocation tuning — see spec/osqp_mid_lambda_spec.rb. + if !ok && max_iter_stop && large_problem + if osqp_progress + warn format( + "Assignments: OSQP λ=%g hit max_iter=%d; using last iterate (pri_res=%g dua_res=%g). Tune eps_abs/eps_rel/max_iter in solve_osqp_for_lambda! if you need tighter KKT.", + lam, + result[:iter], + pr.to_f, + dr.to_f + ) + end + ok = true + end + end + + raise "OSQP failed: status=#{result[:status]} (#{result[:status_val]})" unless ok + + x = result[:x] + a_vals = x.take(n) + @total_assignment = a_vals.sum + @assignments = {} + n.times do |i| + @assignments[@user_ids[i]] = a_vals[i] + end + end +end diff --git a/PiRC1/4-allocation/sample/lambda.dat b/PiRC1/4-allocation/sample/lambda.dat new file mode 100644 index 00000000..2caae750 --- /dev/null +++ b/PiRC1/4-allocation/sample/lambda.dat @@ -0,0 +1,23 @@ +0.00 5385464 -0.0028664 -3.8424e-08 0.00019602 +0.02 217815 -9.7815e-05 -1.3112e-09 3.6211e-05 +0.04 126221 -8.1977e-05 -1.0989e-09 3.315e-05 +0.06 92574 -7.4899e-05 -1.004e-09 3.1686e-05 +0.08 72229 -7.0063e-05 -9.392e-10 3.0646e-05 +0.10 59237 -6.6342e-05 -8.8931e-10 2.9821e-05 +0.20 30883 -5.0975e-05 -6.8332e-10 2.614e-05 +0.22 28275 -4.8505e-05 -6.5022e-10 2.5499e-05 +0.24 26102 -4.6213e-05 -6.1949e-10 2.4889e-05 +0.26 24254 -4.4081e-05 -5.9091e-10 2.4309e-05 +0.28 22658 -4.2089e-05 -5.6421e-10 2.3753e-05 +#0.30 109746 -2.6531e-07 -3.5565e-12 1.8859e-06 +#0.32 95358 -3.1316e-07 -4.1979e-12 2.0489e-06 +0.34 18968 -3.692e-05 -4.9491e-10 2.2247e-05 +0.36 18004 -3.5455e-05 -4.7528e-10 2.1801e-05 +0.38 17141 -3.4105e-05 -4.5717e-10 2.1382e-05 +0.40 16364 -3.2876e-05 -4.4071e-10 2.0993e-05 +0.50 13367 -2.8333e-05 -3.7981e-10 1.9489e-05 +0.60 11324 -2.6204e-05 -3.5126e-10 1.8742e-05 +0.70 8017 -2.5075e-05 -3.3613e-10 1.8334e-05 +0.80 4922 -2.3176e-05 -3.1067e-10 1.7626e-05 +0.90 2426 -1.9147e-05 -2.5666e-10 1.6021e-05 +1.00 373 -8.0617e-35 -1.0807e-39 3.2874e-20 diff --git a/PiRC1/4-allocation/sample/lambda.dat~ b/PiRC1/4-allocation/sample/lambda.dat~ new file mode 100644 index 00000000..80961717 --- /dev/null +++ b/PiRC1/4-allocation/sample/lambda.dat~ @@ -0,0 +1,11 @@ +0.00 5385464 -0.0028664 -3.8424e-08 0.00019602 +0.10 59237 -6.6342e-05 -8.8931e-10 2.9821e-05 +0.20 30883 -5.0975e-05 -6.8332e-10 2.614e-05 +0.30 109746 -2.6531e-07 -3.5565e-12 1.8859e-06 +0.40 16364 -3.2876e-05 -4.4071e-10 2.0993e-05 +0.50 13367 -2.8333e-05 -3.7981e-10 1.9489e-05 +0.60 11324 -2.6204e-05 -3.5126e-10 1.8742e-05 +0.70 8017 -2.5075e-05 -3.3613e-10 1.8334e-05 +0.80 4922 -2.3176e-05 -3.1067e-10 1.7626e-05 +0.90 2426 -1.9147e-05 -2.5666e-10 1.6021e-05 +1.00 373 -8.0617e-35 -1.0807e-39 3.2874e-20 diff --git a/PiRC1/4-allocation/sample/lambda.gplt b/PiRC1/4-allocation/sample/lambda.gplt new file mode 100644 index 00000000..0bd608fd --- /dev/null +++ b/PiRC1/4-allocation/sample/lambda.gplt @@ -0,0 +1,7 @@ +set xrange [0.001:1] +set title "Total Allocation by Fairness λ" +set xlabel "λ" +set ylabel "Allocated π" +set output "alloc_lambda.png" +set terminal png +plot "lambda.dat" using 1:2 with lines lc "blue" notitle diff --git a/PiRC1/4-allocation/sample/lambda.gplt~ b/PiRC1/4-allocation/sample/lambda.gplt~ new file mode 100644 index 00000000..a6cd1e20 --- /dev/null +++ b/PiRC1/4-allocation/sample/lambda.gplt~ @@ -0,0 +1,3 @@ +set xrange [0.001:1] +set title "Total Allocation by Lambda" +plot "lambda.dat" using 1:2 with lines style blue title none diff --git a/PiRC1/4-allocation/sample/launchpad_user_stake_commit_totals.csv b/PiRC1/4-allocation/sample/launchpad_user_stake_commit_totals.csv new file mode 100644 index 00000000..273f68fb --- /dev/null +++ b/PiRC1/4-allocation/sample/launchpad_user_stake_commit_totals.csv @@ -0,0 +1,76047 @@ +user_id,total_staked_amount,total_commit_amount +3,2.0,1.0 +1823,74.2575,12.0 +2901,49.495,1.0 +5276,10.0,10.0 +5732,104.4829754,10.0 +8925,1.0,1.0 +8977,24.7525,24.7525 +10535,28.1025,6.635625 +10908,500.0,450.0 +11107,142.1215414,80.6598292 +11885,25.75,24.75 +12317,24.7525,24.7525 +14444,50.0,100.0 +14944,74.870864,110.0 +15811,41.1509841,100.0 +15932,100.6909025,24.7977257 +15951,61.6193771,34.849750900000004 +17321,43.45429,8.0 +17903,54.7322124,13.3080531 +18332,74.2575,4.7525 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true + +require "csv" +require_relative "assignments" + +OUTPUT_FILENAME = "assignments.csv" + +# One less than the count of λ values: grid is i/LEVELS for i = 0..LEVELS (LEVELS+1 points on [0,1]). +DEFAULT_LEVELS = 4 + +def usage + warn "Usage: #{$PROGRAM_NAME} INPUT.csv [MIN_COMMIT] [LEVELS]" + warn "MIN_COMMIT defaults to #{Assignments::DEFAULT_MIN_COMMIT_FOR_ANALYSIS} Pi (rows below are skipped)." + warn "LEVELS defaults to #{DEFAULT_LEVELS} → λ ∈ {i/#{DEFAULT_LEVELS} | i = 0..#{DEFAULT_LEVELS}} (#{DEFAULT_LEVELS + 1} values)." + warn "writes #{OUTPUT_FILENAME}, and prints per-λ totals and fairness metrics on stdout." + exit 1 +end + +# @param levels [Integer] segment count; produces λ = i/levels for i = 0,…,levels (levels+1 grid points) +def lambda_grid_from_levels(levels) + levels = Integer(levels) + raise ArgumentError, "LEVELS must be >= 1" if levels < 1 + + (0..levels).map { |i| i.to_f / levels } + [ 0.02, 0.04, 0.06, 0.08, + 0.22, 0.24, 0.26, 0.28, + 0.32, 0.34, 0.36, 0.38 ] +end + +def lambda_header(lam) + format("assignment_lambda_%0.2f", lam) +end + +# Per design 3: F = sum_i -(s_i/S - a_i/A)^2 ; average fairness = F / n. +# Returns [F, F/n] or [nil, nil] if stake sum or total allocation is non-positive. +def fairness_metrics(model, assignments_by_uid) + n = model.user_ids.size + stake_sum = model.stakes.sum + return [nil, nil] if stake_sum <= 0 + + a_total = assignments_by_uid.values.sum + return [nil, nil] if a_total <= 0 + + f = 0.0 + model.user_ids.each_with_index do |uid, i| + wi = model.stakes[i] / stake_sum + ai = assignments_by_uid[uid].to_f + f -= (wi - ai / a_total)**2 + end + [f, f / n] +end + +# Five significant digits (sprintf %g precision counts significant digits for %g). +def fmt5(x) + format("%.5g", x) +end + +def print_lambda_summary(model, lambdas) + n = model.user_ids.size + puts + puts format( + "%-8s %16s %14s %14s %14s", + "lambda", + "total_assignment", + "fairness_F", + "avg_fairness", + "std_fairness" + ) + puts format( + "%-8s %16s %14s %14s %14s", + "------", + "----------------", + "--------------", + "--------------", + "--------------" + ) + + lambdas.each do |lam| + total = model.total_assignment_by_lambda[lam] + total_i = total.round + f, avg = fairness_metrics(model, model.assignments_by_lambda[lam]) + f_s = f.nil? ? "n/a" : fmt5(f) + avg_s = avg.nil? ? "n/a" : fmt5(avg) + std_s = + if avg.nil? + "n/a" + else + fmt5(Math.sqrt(avg.abs)) + end + + puts format( + "%-8s %16d %14s %14s %14s", + format("%0.2f", lam), + total_i, + f_s, + avg_s, + std_s + ) + end + puts "(n=#{n} participants; F = sum_i -(s_i/S - a_i/A)^2; std_fairness = sqrt(|F/n|), analogous to stdev vs variance.)" + puts +end + +def main(argv) + usage if argv.empty? || argv.include?("-h") || argv.include?("--help") + if argv.size > 3 + warn "Error: too many arguments (expected at most INPUT, MIN_COMMIT, LEVELS)" + usage + end + + input_path = argv.first + unless File.file?(input_path) + warn "Error: not a file: #{input_path.inspect}" + exit 1 + end + + min_commit = Assignments::DEFAULT_MIN_COMMIT_FOR_ANALYSIS + levels = DEFAULT_LEVELS + min_commit = Float(argv[1]) if argv[1] + levels = Integer(argv[2]) if argv[2] + + lambda_grid = + begin + lambda_grid_from_levels(levels) + rescue ArgumentError => e + warn "Error: #{e.message}" + exit 1 + end + + model = Assignments.new( + min_commit_for_analysis: min_commit, + lambda_grid: lambda_grid + ).load(input_path) + if model.participant_rows.empty? + warn "Error: CSV has no data rows: #{input_path.inspect}" + exit 1 + end + + model.assign + + lambdas = model.assignments_by_lambda.keys + base_headers = model.csv_headers + extra_headers = lambdas.map { |lam| lambda_header(lam) } + out_headers = base_headers + extra_headers + + CSV.open(OUTPUT_FILENAME, "w", write_headers: true, headers: out_headers) do |csv| + model.participant_rows.each do |row| + uid = row["user_id"] + out = base_headers.map { |h| row[h] } + lambdas.each do |lam| + val = model.assignments_by_lambda[lam][uid] + raise "missing assignment for user_id=#{uid.inspect} λ=#{lam}" if val.nil? + + out << val + end + csv << out + end + end + + $stderr.puts "Wrote #{OUTPUT_FILENAME} (#{model.participant_rows.size} rows, #{lambdas.size} λ columns)." + print_lambda_summary(model, lambdas) +end + +main(ARGV) if __FILE__ == $PROGRAM_NAME diff --git a/PiRC1/4-allocation/sample/make_assignments.rb~ b/PiRC1/4-allocation/sample/make_assignments.rb~ new file mode 100755 index 00000000..4622eefa --- /dev/null +++ b/PiRC1/4-allocation/sample/make_assignments.rb~ @@ -0,0 +1,162 @@ +#!/usr/bin/env ruby +# frozen_string_literal: true + +require "csv" +require_relative "assignments" + +OUTPUT_FILENAME = "assignments.csv" + +# One less than the count of λ values: grid is i/LEVELS for i = 0..LEVELS (LEVELS+1 points on [0,1]). +DEFAULT_LEVELS = 4 + +def usage + warn "Usage: #{$PROGRAM_NAME} INPUT.csv [MIN_COMMIT] [LEVELS]" + warn "MIN_COMMIT defaults to #{Assignments::DEFAULT_MIN_COMMIT_FOR_ANALYSIS} Pi (rows below are skipped)." + warn "LEVELS defaults to #{DEFAULT_LEVELS} → λ ∈ {i/#{DEFAULT_LEVELS} | i = 0..#{DEFAULT_LEVELS}} (#{DEFAULT_LEVELS + 1} values)." + warn "writes #{OUTPUT_FILENAME}, and prints per-λ totals and fairness metrics on stdout." + exit 1 +end + +# @param levels [Integer] segment count; produces λ = i/levels for i = 0,…,levels (levels+1 grid points) +def lambda_grid_from_levels(levels) + levels = Integer(levels) + raise ArgumentError, "LEVELS must be >= 1" if levels < 1 + + (0..levels).map { |i| i.to_f / levels } +end + +def lambda_header(lam) + format("assignment_lambda_%0.2f", lam) +end + +# Per design 3: F = sum_i -(s_i/S - a_i/A)^2 ; average fairness = F / n. +# Returns [F, F/n] or [nil, nil] if stake sum or total allocation is non-positive. +def fairness_metrics(model, assignments_by_uid) + n = model.user_ids.size + stake_sum = model.stakes.sum + return [nil, nil] if stake_sum <= 0 + + a_total = assignments_by_uid.values.sum + return [nil, nil] if a_total <= 0 + + f = 0.0 + model.user_ids.each_with_index do |uid, i| + wi = model.stakes[i] / stake_sum + ai = assignments_by_uid[uid].to_f + f -= (wi - ai / a_total)**2 + end + [f, f / n] +end + +# Five significant digits (sprintf %g precision counts significant digits for %g). +def fmt5(x) + format("%.5g", x) +end + +def print_lambda_summary(model, lambdas) + n = model.user_ids.size + puts + puts format( + "%-8s %16s %14s %14s %14s", + "lambda", + "total_assignment", + "fairness_F", + "avg_fairness", + "std_fairness" + ) + puts format( + "%-8s %16s %14s %14s %14s", + "------", + "----------------", + "--------------", + "--------------", + "--------------" + ) + + lambdas.each do |lam| + total = model.total_assignment_by_lambda[lam] + total_i = total.round + f, avg = fairness_metrics(model, model.assignments_by_lambda[lam]) + f_s = f.nil? ? "n/a" : fmt5(f) + avg_s = avg.nil? ? "n/a" : fmt5(avg) + std_s = + if avg.nil? + "n/a" + else + fmt5(Math.sqrt(avg.abs)) + end + + puts format( + "%-8s %16d %14s %14s %14s", + format("%0.2f", lam), + total_i, + f_s, + avg_s, + std_s + ) + end + puts "(n=#{n} participants; F = sum_i -(s_i/S - a_i/A)^2; std_fairness = sqrt(|F/n|), analogous to stdev vs variance.)" + puts +end + +def main(argv) + usage if argv.empty? || argv.include?("-h") || argv.include?("--help") + if argv.size > 3 + warn "Error: too many arguments (expected at most INPUT, MIN_COMMIT, LEVELS)" + usage + end + + input_path = argv.first + unless File.file?(input_path) + warn "Error: not a file: #{input_path.inspect}" + exit 1 + end + + min_commit = Assignments::DEFAULT_MIN_COMMIT_FOR_ANALYSIS + levels = DEFAULT_LEVELS + min_commit = Float(argv[1]) if argv[1] + levels = Integer(argv[2]) if argv[2] + + lambda_grid = + begin + lambda_grid_from_levels(levels) + rescue ArgumentError => e + warn "Error: #{e.message}" + exit 1 + end + + model = Assignments.new( + min_commit_for_analysis: min_commit, + lambda_grid: lambda_grid + ).load(input_path) + if model.participant_rows.empty? + warn "Error: CSV has no data rows: #{input_path.inspect}" + exit 1 + end + + model.assign + + lambdas = model.assignments_by_lambda.keys + base_headers = model.csv_headers + extra_headers = lambdas.map { |lam| lambda_header(lam) } + out_headers = base_headers + extra_headers + + CSV.open(OUTPUT_FILENAME, "w", write_headers: true, headers: out_headers) do |csv| + model.participant_rows.each do |row| + uid = row["user_id"] + out = base_headers.map { |h| row[h] } + lambdas.each do |lam| + val = model.assignments_by_lambda[lam][uid] + raise "missing assignment for user_id=#{uid.inspect} λ=#{lam}" if val.nil? + + out << val + end + csv << out + end + end + + $stderr.puts "Wrote #{OUTPUT_FILENAME} (#{model.participant_rows.size} rows, #{lambdas.size} λ columns)." + print_lambda_summary(model, lambdas) +end + +main(ARGV) if __FILE__ == $PROGRAM_NAME diff --git 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+63761,37.7986518,37.7986518 +64526,20.99,15.6175 +64810,106.7125268,108.8031317 +64992,54.255,22.1275 +65555,31.0566139,15.528307 +66589,74.2575,18.114375 +67035,22.125,22.125 +67198,10.0,59.8547498 +68629,71.8968317,56.9656664 +69662,66.0568887,27.1791354 +70201,50.0,25.0025 +70313,24.7525,24.7525 diff --git a/PiRC1/4-allocation/sample/spec/assignments_spec.rb b/PiRC1/4-allocation/sample/spec/assignments_spec.rb new file mode 100644 index 00000000..ebd8ec73 --- /dev/null +++ b/PiRC1/4-allocation/sample/spec/assignments_spec.rb @@ -0,0 +1,111 @@ +# frozen_string_literal: true + +require_relative "spec_helper" +require_relative "../assignments" + +RSpec.describe Assignments do + let(:fixture_path) { File.expand_path("fixtures/tiny_stakes.csv", __dir__) } + + describe "#load" do + it "loads rows and required headers" do + a = described_class.new.load(fixture_path) + expect(a.user_ids).to eq(%w[1 2 3]) + expect(a.stakes).to eq([2.0, 8.0, 0.0]) + expect(a.commits).to eq([1.0, 10.0, 5.0]) + end + + it "drops rows with commit below min_commit_for_analysis (default 1 Pi)" do + path = File.expand_path("fixtures/tiny_with_sub_threshold.csv", __dir__) + a = described_class.new.load(path) + expect(a.min_commit_for_analysis).to eq(1.0) + expect(a.user_ids).to eq(%w[1 2]) + expect(a.commits).to eq([1.0, 10.0]) + expect(a.participant_rows.map { |r| r["user_id"] }).to eq(%w[1 2]) + end + + it "uses constructor min_commit_for_analysis when set" do + path = File.expand_path("fixtures/tiny_with_sub_threshold.csv", __dir__) + a = described_class.new(min_commit_for_analysis: 0.5).load(path) + expect(a.user_ids).to eq(%w[1 9 2 3]) + a2 = described_class.new(min_commit_for_analysis: 2.0).load(path) + expect(a2.user_ids).to eq(%w[2]) + end + + it "stores participant rows and headers for export" do + a = described_class.new.load(fixture_path) + expect(a.csv_headers).to eq(%w[user_id total_staked_amount total_commit_amount]) + expect(a.participant_rows.size).to eq(3) + expect(a.participant_rows.map { |r| r["user_id"] }).to eq(%w[1 2 3]) + expect(a.participant_rows[1]["total_commit_amount"]).to eq("10.0") + end + end + + describe "#assign_with_lambda" do + let(:a) { described_class.new.load(fixture_path) } + + it "at λ=0 assigns each user their full commitment" do + a.assign_with_lambda(0.0) + expect(a.assignments).to eq("1" => 1.0, "2" => 10.0, "3" => 5.0) + expect(a.total_assignment).to eq(16.0) + end + + it "at λ=1 assigns proportional to stake under caps" do + a.assign_with_lambda(1.0) + expect(a.assignments["1"]).to be_within(1e-6).of(1.0) + expect(a.assignments["2"]).to be_within(1e-6).of(4.0) + expect(a.assignments["3"]).to be_within(1e-6).of(0.0) + expect(a.total_assignment).to be_within(1e-6).of(5.0) + end + + it "rejects lambda outside [0, 1]" do + expect { a.assign_with_lambda(-0.1) }.to raise_error(ArgumentError, /lambda must be in/) + expect { a.assign_with_lambda(1.1) }.to raise_error(ArgumentError, /lambda must be in/) + end + + context "interior lambda" do + it "solves via OSQP and keeps totals consistent" do + a.assign_with_lambda(0.5, osqp_progress: false) + sum = a.assignments.values.sum + expect(sum).to be_within(1e-4).of(a.total_assignment) + expect(a.total_assignment).to be > 5.0 + expect(a.total_assignment).to be < 16.0 + end + end + end + + describe "#initialize" do + it "defaults lambda_grid to DEFAULT_LAMBDA_GRID" do + expect(described_class.new.lambda_grid).to eq(described_class::DEFAULT_LAMBDA_GRID) + end + + it "accepts a custom lambda_grid" do + g = [0.0, 1.0] + expect(described_class.new(lambda_grid: g).lambda_grid).to eq(g) + end + end + + describe "#assign" do + let(:a) { described_class.new.load(fixture_path) } + + it "runs the default lambda grid and exposes per-lambda results" do + a.assign(osqp_progress: false) + expect(a.assignments_by_lambda.keys).to eq([0.0, 0.25, 0.5, 0.75, 1.0]) + expect(a.assignments_by_lambda[0.0].values.sum).to eq(16.0) + expect(a.assignments_by_lambda[1.0].values.sum).to be_within(1e-6).of(5.0) + expect(a.assignments).to eq(a.assignments_by_lambda[0.5]) + expect(a.total_assignment).to eq(a.total_assignment_by_lambda[0.5]) + end + + it "accepts a custom lambda list" do + a.assign(lambdas: [0.0, 1.0], osqp_progress: false) + expect(a.assignments_by_lambda.keys).to eq([0.0, 1.0]) + expect(a.assignments).to eq(a.assignments_by_lambda[1.0]) + end + + it "uses constructor lambda_grid when lambdas is omitted" do + m = described_class.new(lambda_grid: [0.0, 1.0]).load(fixture_path) + m.assign(osqp_progress: false) + expect(m.assignments_by_lambda.keys).to eq([0.0, 1.0]) + end + end +end diff --git a/PiRC1/4-allocation/sample/spec/examples.txt b/PiRC1/4-allocation/sample/spec/examples.txt new file mode 100644 index 00000000..998575bf --- /dev/null +++ b/PiRC1/4-allocation/sample/spec/examples.txt @@ -0,0 +1,9 @@ +example_id | status | run_time | +----------------------------------- | ------ | --------------- | +./spec/assignments_spec.rb[1:1:1] | passed | 0.00053 seconds | +./spec/assignments_spec.rb[1:2:1] | passed | 0.00068 seconds | +./spec/assignments_spec.rb[1:2:2] | passed | 0.00033 seconds | +./spec/assignments_spec.rb[1:2:3] | passed | 0.00055 seconds | +./spec/assignments_spec.rb[1:2:4:1] | passed | 0.0065 seconds | +./spec/assignments_spec.rb[1:3:1] | passed | 0.00244 seconds | +./spec/assignments_spec.rb[1:3:2] | passed | 0.00013 seconds | diff --git a/PiRC1/4-allocation/sample/spec/fixtures/tiny_stakes.csv b/PiRC1/4-allocation/sample/spec/fixtures/tiny_stakes.csv new file mode 100644 index 00000000..8997e6ff --- /dev/null +++ b/PiRC1/4-allocation/sample/spec/fixtures/tiny_stakes.csv @@ -0,0 +1,4 @@ +user_id,total_staked_amount,total_commit_amount +1,2.0,1.0 +2,8.0,10.0 +3,0.0,5.0 diff --git a/PiRC1/4-allocation/sample/spec/fixtures/tiny_with_sub_threshold.csv b/PiRC1/4-allocation/sample/spec/fixtures/tiny_with_sub_threshold.csv new file mode 100644 index 00000000..66bf72d8 --- /dev/null +++ b/PiRC1/4-allocation/sample/spec/fixtures/tiny_with_sub_threshold.csv @@ -0,0 +1,5 @@ +user_id,total_staked_amount,total_commit_amount +1,2.0,1.0 +9,100.0,0.5 +2,8.0,10.0 +3,0.0,0.999 diff --git a/PiRC1/4-allocation/sample/spec/osqp_mid_lambda_spec.rb b/PiRC1/4-allocation/sample/spec/osqp_mid_lambda_spec.rb new file mode 100644 index 00000000..a1902e59 --- /dev/null +++ b/PiRC1/4-allocation/sample/spec/osqp_mid_lambda_spec.rb @@ -0,0 +1,67 @@ +# frozen_string_literal: true + +# Integration target for tuning OSQP hyperparameters used in +# Assignments#solve_osqp_for_lambda! (large_problem branch: eps_abs, eps_rel, max_iter). +# +# Mid-blend λ≈0.3 is the hardest case on full launchpad-scale data (see terminal logs). +# +# Usage: +# bundle exec rspec spec/osqp_mid_lambda_spec.rb --tag slow +# OSQP_MID_LAMBDA_SLICE=8000 bundle exec rspec spec/osqp_mid_lambda_spec.rb --tag slow +# +# Requires ../launchpad_user_stake_commit_totals.csv next to spec/ (under sample/). +# Without that file, examples are skipped. + +require "tempfile" + +require_relative "spec_helper" +require_relative "../assignments" + +RSpec.describe "OSQP mid-blend λ=0.3 (launchpad slice)", :osqp_mid_lambda, :slow do + LAUNCHPAD = File.expand_path("../launchpad_user_stake_commit_totals.csv", __dir__) + # Must be > 10_000 so Assignments uses the large-problem OSQP branch (same as full launchpad run). + SLICE_ROWS = Integer(ENV.fetch("OSQP_MID_LAMBDA_SLICE", "12000")) + + before(:all) do + unless File.file?(LAUNCHPAD) + @launchpad_missing = true + next + end + + @launchpad_missing = false + @slice = Tempfile.new(["launchpad_osqp_mid_lambda", ".csv"]) + @slice.close + lines = File.foreach(LAUNCHPAD).first(SLICE_ROWS + 1) + raise "launchpad CSV empty" if lines.nil? || lines.empty? + + File.write(@slice.path, lines.join) + @slice_path = @slice.path + end + + after(:all) do + @slice&.unlink + end + + it "runs assign_with_lambda(0.3) on a large slice without error" do + skip "launchpad CSV missing at #{LAUNCHPAD}" if @launchpad_missing + + a = Assignments.new.load(@slice_path) + # Slice has SLICE_ROWS data lines; MIN_COMMIT_FOR_ANALYSIS drops some rows. + expect(a.user_ids.size).to be <= SLICE_ROWS + expect(a.user_ids.size).to be > 10_000 + + expect do + a.assign_with_lambda(0.3, osqp_progress: false) + end.not_to raise_error + + sum = a.assignments.values.sum + expect(sum).to be_within(1.0).of(a.total_assignment) + + by_uid = a.user_ids.each_with_index.to_h { |uid, i| [uid, a.commits[i]] } + a.assignments.each do |uid, ai| + expect(ai).to be >= -0.02 + expect(ai).to be <= by_uid[uid] + 0.02 + end + end + +end diff --git a/PiRC1/4-allocation/sample/spec/spec_helper.rb b/PiRC1/4-allocation/sample/spec/spec_helper.rb new file mode 100644 index 00000000..eee22b39 --- /dev/null +++ b/PiRC1/4-allocation/sample/spec/spec_helper.rb @@ -0,0 +1,21 @@ +# frozen_string_literal: true + +RSpec.configure do |config| + config.expect_with :rspec do |expectations| + expectations.include_chain_clauses_in_custom_matcher_descriptions = true + end + + config.mock_with :rspec do |mocks| + mocks.verify_partial_doubles = true + end + + config.shared_context_metadata_behavior = :apply_to_host_groups + config.filter_run_when_matching :focus + config.disable_monkey_patching! + config.warnings = true + + config.default_formatter = "doc" if config.files_to_run.one? + + config.order = :random + Kernel.srand config.seed +end