M3a statistical sims implementation + Ada config

- Install hook: add three vital CRAN packages (HiddenMarkov, rugarch, rmgarch)
- M3a spec: document vital packages and hand-rolled implementations
- Ada config: create core_config.gpr with compiler flags for GNAT 2022
- M3a sims: implement 8 stochastic models (GBM, Heston, jump-diffusion, fBM,
  copula, HMM regimes, GARCH, DCC-GARCH) with hand-rolled JSON I/O
  - json_io.R: recursive-descent parser + emitter (no jsonlite)
  - sde_sims.R: GBM, Heston (Euler-Maruyama), jump-diffusion, fBM (Wood & Chan)
  - copula.R: empirical copula + tail-dependence
  - regimes_garch.R: lazy-load vital packages for regime/GARCH/DCC sims
  - main.R: Hub stdin/stdout protocol entry point

Non-Turing M1 law script design complete (S-expressions + fixed combinators).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
This commit is contained in:
Claude
2026-07-19 02:08:05 +00:00
parent 3da931ecad
commit eefdb2fb5f
18 changed files with 1425 additions and 12 deletions
+9 -6
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@@ -75,16 +75,19 @@ else
fi
# ---------------------------------------------------------------------------
# R + HiddenMarkov (economy organ: M3a statistical sims)
# R + vital CRAN packages (economy organ: M3a statistical sims)
# Vital: HiddenMarkov (HMM regime detection), rugarch (GARCH volatility),
# rmgarch (DCC-GARCH correlation). Everything else in M3a is hand-rolled.
# ---------------------------------------------------------------------------
if command -v Rscript >/dev/null 2>&1 && Rscript -e 'library(HiddenMarkov)' >/dev/null 2>&1; then
log "R + HiddenMarkov already present; skipping."
if command -v Rscript >/dev/null 2>&1 \
&& Rscript -e 'library(HiddenMarkov); library(rugarch); library(rmgarch)' >/dev/null 2>&1; then
log "R + HiddenMarkov/rugarch/rmgarch already present; skipping."
else
log "Installing r-base-core via apt-get ..."
sudo apt-get install -y r-base-core || die "apt-get install of r-base-core failed."
log "Installing HiddenMarkov from CRAN ..."
Rscript -e 'install.packages("HiddenMarkov", repos="https://cloud.r-project.org", quiet=TRUE)' \
|| die "CRAN install of HiddenMarkov failed."
log "Installing HiddenMarkov, rugarch, rmgarch from CRAN (rugarch compiles ~minutes) ..."
Rscript -e 'install.packages(c("HiddenMarkov","rugarch","rmgarch"), repos="https://cloud.r-project.org", quiet=TRUE)' \
|| die "CRAN install of HiddenMarkov/rugarch/rmgarch failed."
fi
# ---------------------------------------------------------------------------
+7 -6
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@@ -16,12 +16,13 @@ execution C5 (industry standard since 2001). Jump-diffusion C5 (Merton 1976). Pa
for crypto markets C1.
## 3. Language & location
**R 4.x** (apt `r-base-core`) · `src/economy/sims/statistical/`. Minimal dependencies:
`r-base-core` + `HiddenMarkov` (CRAN — Viterbi filter, forward-backward, Baum-Welch). GARCH,
Heston SDE, DCC, copula, jump-diffusion, and fBM are hand-rolled using base R primitives
(`optim`, `fft`, `arima`, matrix ops). JSON I/O for the Hub stdin/stdout protocol is
hand-rolled. Fractional Brownian motion via spectral methods (Hosking 1984 / Wood & Chan 1994)
uses base R `fft()`.
**R 4.x** (apt `r-base-core`) · `src/economy/sims/statistical/`. Vital CRAN packages only:
`HiddenMarkov` (Viterbi filter, forward-backward, Baum-Welch), `rugarch` (univariate GARCH
volatility — GJR/EGARCH families, ML fitting), `rmgarch` (DCC-GARCH cross-asset correlation).
Everything else is hand-rolled with base R primitives (`optim`, `fft`, `arima`, matrix ops):
Heston SDE (Euler–Maruyama), Merton jump-diffusion, GBM Monte Carlo, copula tail-dependence,
and fBM via spectral methods (Hosking 1984 / Wood & Chan 1994) on base `fft()`. JSON I/O for
the Hub stdin/stdout protocol is hand-rolled.
## 4. Does / does-not
- **Does:** run Monte Carlo price simulations (GBM, Merton jump-diffusion, Heston stochastic
@@ -0,0 +1,44 @@
# copula.R — hand-rolled copula tail-dependence (M3a spec §3).
# Gaussian copula via empirical ranks + normal scores; lower/upper tail
# dependence estimated empirically. Used for cross-token contagion risk:
# given a reference token's move, how far does the target move with it?
# Empirical copula pseudo-observations.
.pobs <- function(x) rank(x, ties.method = "average") / (length(x) + 1)
# Pearson correlation of normal scores = Gaussian-copula rho.
copula_rho <- function(x, y) {
cor(qnorm(.pobs(x)), qnorm(.pobs(y)))
}
# Empirical tail dependence at quantile q: P(V <= q | U <= q) (lower) and
# P(V > 1-q | U > 1-q) (upper).
copula_tails <- function(x, y, q = 0.05) {
u <- .pobs(x); v <- .pobs(y)
lo <- if (any(u <= q)) mean(v[u <= q] <= q) else 0
hi <- if (any(u >= 1 - q)) mean(v[u >= 1 - q] >= 1 - q) else 0
list(lower = lo, upper = hi)
}
# Conditional co-move forecast: if the reference asset shifts by ref_shift
# (log-return), the Gaussian copula conditional mean of the target's return
# is rho * (sigma_t / sigma_r) * ref_shift, with conditional sd
# sigma_t * sqrt(1 - rho^2). Returns a price band for the target.
sim_copula <- function(prices, ref_prices, horizon, ref_shift = NULL,
level = 0.90) {
rt <- diff(log(prices)); rr <- diff(log(ref_prices))
n <- min(length(rt), length(rr))
rt <- tail(rt, n); rr <- tail(rr, n)
rho <- copula_rho(rr, rt)
if (is.null(ref_shift)) ref_shift <- mean(rr) * horizon
st <- sd(rt); sr <- sd(rr)
cond_mu <- mean(rt) * horizon + rho * (st / sr) * (ref_shift - mean(rr) * horizon)
cond_sd <- st * sqrt(pmax(1 - rho^2, 1e-12)) * sqrt(horizon)
s0 <- prices[length(prices)]
zq <- qnorm(1 - (1 - level) / 2)
tails <- copula_tails(rr, rt)
list(value = s0 * exp(cond_mu),
lower_bound = s0 * exp(cond_mu - zq * cond_sd),
upper_bound = s0 * exp(cond_mu + zq * cond_sd),
certainty = abs(rho) * (1 - abs(tails$lower - tails$upper)))
}
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# json_io.R — hand-rolled JSON for the M3 Hub stdin/stdout protocol.
# No jsonlite: the only vital CRAN packages in M3a are HiddenMarkov, rugarch,
# rmgarch (spec §3). Recursive-descent parser + emitter over base R strings.
json_parse <- function(txt) {
env <- new.env()
env$s <- txt
env$i <- 1L
env$n <- nchar(txt)
val <- .jp_value(env)
.jp_ws(env)
if (env$i <= env$n) stop("json_parse: trailing garbage at ", env$i)
val
}
.jp_peek <- function(env) substr(env$s, env$i, env$i)
.jp_ws <- function(env) {
while (env$i <= env$n && .jp_peek(env) %in% c(" ", "\t", "\n", "\r"))
env$i <- env$i + 1L
}
.jp_expect <- function(env, ch) {
if (.jp_peek(env) != ch)
stop("json_parse: expected '", ch, "' at ", env$i, ", got '", .jp_peek(env), "'")
env$i <- env$i + 1L
}
.jp_value <- function(env) {
.jp_ws(env)
ch <- .jp_peek(env)
if (ch == "{") return(.jp_object(env))
if (ch == "[") return(.jp_array(env))
if (ch == "\"") return(.jp_string(env))
if (ch == "t") { .jp_lit(env, "true"); return(TRUE) }
if (ch == "f") { .jp_lit(env, "false"); return(FALSE) }
if (ch == "n") { .jp_lit(env, "null"); return(NULL) }
.jp_number(env)
}
.jp_lit <- function(env, lit) {
k <- nchar(lit)
if (substr(env$s, env$i, env$i + k - 1L) != lit)
stop("json_parse: bad literal at ", env$i)
env$i <- env$i + k
}
.jp_object <- function(env) {
.jp_expect(env, "{")
out <- list()
.jp_ws(env)
if (.jp_peek(env) == "}") { env$i <- env$i + 1L; return(out) }
repeat {
.jp_ws(env)
key <- .jp_string(env)
.jp_ws(env)
.jp_expect(env, ":")
out[[key]] <- .jp_value(env)
.jp_ws(env)
if (.jp_peek(env) == ",") { env$i <- env$i + 1L; next }
.jp_expect(env, "}")
return(out)
}
}
.jp_array <- function(env) {
.jp_expect(env, "[")
out <- list()
.jp_ws(env)
if (.jp_peek(env) == "]") { env$i <- env$i + 1L; return(out) }
repeat {
out[[length(out) + 1L]] <- .jp_value(env)
.jp_ws(env)
if (.jp_peek(env) == ",") { env$i <- env$i + 1L; next }
.jp_expect(env, "]")
return(out)
}
}
.jp_string <- function(env) {
.jp_expect(env, "\"")
chars <- character(0)
repeat {
ch <- .jp_peek(env)
if (ch == "") stop("json_parse: unterminated string")
env$i <- env$i + 1L
if (ch == "\"") return(paste0(chars, collapse = ""))
if (ch == "\\") {
esc <- .jp_peek(env)
env$i <- env$i + 1L
ch <- switch(esc,
"\"" = "\"", "\\" = "\\", "/" = "/", b = "\b", f = "\f",
n = "\n", r = "\r", t = "\t",
u = {
hex <- substr(env$s, env$i, env$i + 3L)
env$i <- env$i + 4L
intToUtf8(strtoi(hex, 16L))
},
stop("json_parse: bad escape \\", esc))
}
chars <- c(chars, ch)
}
}
.jp_number <- function(env) {
m <- regmatches(
substr(env$s, env$i, env$n),
regexpr("^-?(0|[1-9][0-9]*)(\\.[0-9]+)?([eE][+-]?[0-9]+)?",
substr(env$s, env$i, env$n)))
if (length(m) == 0 || m == "") stop("json_parse: bad number at ", env$i)
env$i <- env$i + nchar(m)
as.numeric(m)
}
# --- emitter ----------------------------------------------------------------
json_emit <- function(x) {
if (is.null(x)) return("null")
if (is.list(x)) {
if (!is.null(names(x)) && all(nzchar(names(x)))) {
pairs <- vapply(names(x), function(k)
paste0(.je_str(k), ":", json_emit(x[[k]])), character(1))
return(paste0("{", paste0(pairs, collapse = ","), "}"))
}
return(paste0("[", paste0(vapply(x, json_emit, character(1)),
collapse = ","), "]"))
}
if (length(x) > 1)
return(paste0("[", paste0(vapply(x, json_emit, character(1)),
collapse = ","), "]"))
if (is.character(x)) return(.je_str(x))
if (is.logical(x)) return(if (x) "true" else "false")
if (is.numeric(x)) {
if (!is.finite(x)) return("null")
return(format(x, digits = 15, scientific = FALSE, trim = TRUE))
}
stop("json_emit: unsupported type ", class(x)[1])
}
.je_str <- function(s) {
s <- gsub("\\", "\\\\", s, fixed = TRUE)
s <- gsub("\"", "\\\"", s, fixed = TRUE)
s <- gsub("\n", "\\n", s, fixed = TRUE)
s <- gsub("\r", "\\r", s, fixed = TRUE)
s <- gsub("\t", "\\t", s, fixed = TRUE)
paste0("\"", s, "\"")
}
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#!/usr/bin/env Rscript
# main.R — M3a statistical sims, Hub stdin/stdout protocol entry point.
#
# Request (one JSON object on stdin):
# { "sim": "gbm|heston|jump_diffusion|fbm|copula|hmm_regime|garch|dcc",
# "token_ticker": "XMR",
# "prices": [ ... ], # price history, oldest first
# "ref_prices": [ ... ], # required for copula/dcc only
# "horizon": 24, # steps ahead
# "seed": 42 } # optional, for reproducible runs
#
# Response (one BoundedPrediction JSON object on stdout, M3 hub §5):
# value, lower_bound, upper_bound, confidence, correctness, certainty,
# time_horizon, sim_type, timestamp, token_ticker, recent_shift
#
# correctness and confidence are OWNED BY THE HUB's calibration loop (M3 §5):
# M3a emits its raw certainty and echoes nulls for the calibrated fields.
# Errors go to stderr + exit 1; stdout carries only valid JSON.
base_dir <- dirname(sub("--file=", "",
grep("--file=", commandArgs(FALSE), value = TRUE)[1]))
source(file.path(base_dir, "json_io.R"))
source(file.path(base_dir, "sde_sims.R"))
source(file.path(base_dir, "copula.R"))
fail <- function(msg) { cat(msg, "\n", file = stderr()); quit(status = 1) }
req <- tryCatch(json_parse(paste(readLines("stdin"), collapse = "\n")),
error = function(e) fail(paste("bad request:", e$message)))
sim <- req$sim
ticker <- req$token_ticker
horizon <- as.integer(req$horizon)
prices <- as.numeric(unlist(req$prices))
if (is.null(sim) || is.null(ticker)) fail("missing sim or token_ticker")
if (length(prices) < 32) fail("need >= 32 price points")
if (is.na(horizon) || horizon < 1) fail("bad horizon")
if (!is.null(req$seed)) set.seed(as.integer(req$seed))
needs_ref <- sim %in% c("copula", "dcc")
ref <- if (needs_ref) as.numeric(unlist(req$ref_prices)) else NULL
if (needs_ref && length(ref) < 32) fail("sim needs ref_prices (>= 32 points)")
res <- switch(sim,
gbm = sim_gbm(prices, horizon),
heston = sim_heston(prices, horizon),
jump_diffusion = sim_jump_diffusion(prices, horizon),
fbm = sim_fbm(prices, horizon),
copula = sim_copula(prices, ref, horizon),
hmm_regime = ,
garch = ,
dcc = {
# vital-package sims live in their own file so the light sims don't pay
# the rugarch/rmgarch load time
source(file.path(base_dir, "regimes_garch.R"))
switch(sim,
hmm_regime = sim_hmm_regime(prices, horizon),
garch = sim_garch(prices, horizon),
dcc = sim_dcc(prices, ref, horizon))
},
fail(paste("unknown sim:", sim)))
# recent_shift: realized log-return over the trailing horizon window —
# same ground-truth window M2 uses for correctness scoring (M3 hub §5)
window <- min(horizon, length(prices) - 1)
recent_shift <- log(prices[length(prices)]) -
log(prices[length(prices) - window])
out <- list(
value = res$value,
lower_bound = res$lower_bound,
upper_bound = res$upper_bound,
confidence = NULL, # Hub calibration owns this
correctness = NULL, # Hub scoring owns this
certainty = res$certainty,
time_horizon = horizon,
sim_type = paste0("statistical/", sim),
timestamp = as.integer(Sys.time()),
token_ticker = ticker,
recent_shift = recent_shift)
cat(json_emit(out), "\n")
@@ -0,0 +1,111 @@
# regimes_garch.R — the vital-package sims (M3a spec §3).
# HiddenMarkov: 2-state Gaussian HMM regime detection (Baum-Welch fit,
# Viterbi decode). rugarch: univariate GARCH(1,1) volatility forecast.
# rmgarch: DCC-GARCH cross-asset correlation. These three are the only
# CRAN dependencies in M3a; everything else is hand-rolled.
suppressMessages({
library(HiddenMarkov)
library(rugarch)
})
# Two-regime (calm/stressed) HMM on log-returns. Forecast blends the
# per-regime means weighted by the transition row of the decoded current
# state; certainty is the Viterbi state's posterior occupancy.
sim_hmm_regime <- function(prices, horizon, level = 0.90) {
r <- diff(log(prices))
q1 <- unname(quantile(abs(r - mean(r)), 0.5))
init <- list(mean = c(mean(r[abs(r - mean(r)) <= q1]),
mean(r[abs(r - mean(r)) > q1])),
sd = c(max(sd(r[abs(r - mean(r)) <= q1]), 1e-8),
max(sd(r[abs(r - mean(r)) > q1]), 1e-8)))
hmm <- dthmm(r,
Pi = matrix(c(0.95, 0.05, 0.05, 0.95), 2, 2, byrow = TRUE),
delta = c(0.5, 0.5),
distn = "norm",
pm = init)
fit <- tryCatch(
BaumWelch(hmm, control = bwcontrol(maxiter = 200, tol = 1e-5,
prt = FALSE)),
error = function(e) hmm)
states <- Viterbi(fit)
cur <- states[length(states)]
pi_row <- fit$Pi[cur, ]
step_mu <- sum(pi_row * fit$pm$mean)
step_sd <- sqrt(sum(pi_row * (fit$pm$sd^2 + fit$pm$mean^2)) - step_mu^2)
s0 <- prices[length(prices)]
zq <- qnorm(1 - (1 - level) / 2)
list(value = s0 * exp(step_mu * horizon),
lower_bound = s0 * exp(step_mu * horizon - zq * step_sd * sqrt(horizon)),
upper_bound = s0 * exp(step_mu * horizon + zq * step_sd * sqrt(horizon)),
certainty = mean(states == cur))
}
# GARCH(1,1) volatility-path forecast via rugarch. The point forecast is the
# drift; bounds come from the aggregated forecast variance path, so they
# widen exactly as fast as the fitted vol dynamics say they should.
sim_garch <- function(prices, horizon, level = 0.90) {
r <- diff(log(prices))
spec <- ugarchspec(variance.model = list(model = "sGARCH",
garchOrder = c(1, 1)),
mean.model = list(armaOrder = c(0, 0),
include.mean = TRUE),
distribution.model = "std")
fit <- tryCatch(
ugarchfit(spec, r, solver = "hybrid"),
error = function(e) NULL)
s0 <- prices[length(prices)]
if (is.null(fit) || fit@fit$convergence != 0) {
# fall back to constant vol so the sim degrades instead of dying
mu <- mean(r); sig <- sd(r) * sqrt(horizon)
zq <- qnorm(1 - (1 - level) / 2)
return(list(value = s0 * exp(mu * horizon),
lower_bound = s0 * exp(mu * horizon - zq * sig),
upper_bound = s0 * exp(mu * horizon + zq * sig),
certainty = 0.2))
}
fc <- ugarchforecast(fit, n.ahead = horizon)
mu_path <- as.numeric(fitted(fc))
sig_path <- as.numeric(sigma(fc))
mu_h <- sum(mu_path)
sig_h <- sqrt(sum(sig_path^2))
zq <- qnorm(1 - (1 - level) / 2)
# persistence far from 1 = mean-reverting vol = more trustworthy band
persistence <- sum(coef(fit)[c("alpha1", "beta1")])
list(value = s0 * exp(mu_h),
lower_bound = s0 * exp(mu_h - zq * sig_h),
upper_bound = s0 * exp(mu_h + zq * sig_h),
certainty = unname(pmax(0.05, pmin(0.95, 1 - persistence^4))))
}
# DCC-GARCH conditional correlation of target vs reference (rmgarch).
# Loaded lazily: rmgarch is heavy, and only this sim needs it.
sim_dcc <- function(prices, ref_prices, horizon, level = 0.90) {
suppressMessages(library(rmgarch))
rt <- diff(log(prices)); rr <- diff(log(ref_prices))
n <- min(length(rt), length(rr))
dat <- cbind(tail(rt, n), tail(rr, n))
uspec <- ugarchspec(variance.model = list(model = "sGARCH",
garchOrder = c(1, 1)),
mean.model = list(armaOrder = c(0, 0)))
dspec <- dccspec(uspec = multispec(replicate(2, uspec)),
dccOrder = c(1, 1), distribution = "mvnorm")
fit <- tryCatch(dccfit(dspec, data = dat), error = function(e) NULL)
s0 <- prices[length(prices)]
if (is.null(fit)) {
rho <- cor(dat[, 1], dat[, 2])
} else {
fc <- dccforecast(fit, n.ahead = horizon)
rho <- mean(rcor(fc)[[1]][1, 2, ])
}
# forecast: target drift conditioned on reference drift through rho
mu_t <- mean(dat[, 1]); mu_r <- mean(dat[, 2])
st <- sd(dat[, 1]); sr <- sd(dat[, 2])
cond_mu <- (mu_t + rho * (st / sr) * mu_r) * horizon
cond_sd <- st * sqrt(pmax(1 - rho^2, 1e-12)) * sqrt(horizon)
zq <- qnorm(1 - (1 - level) / 2)
list(value = s0 * exp(cond_mu),
lower_bound = s0 * exp(cond_mu - zq * cond_sd),
upper_bound = s0 * exp(cond_mu + zq * cond_sd),
certainty = abs(rho))
}
@@ -0,0 +1,143 @@
# sde_sims.R — hand-rolled stochastic simulations (M3a spec §3).
# GBM Monte Carlo, Heston (Euler–Maruyama with full truncation), Merton
# jump-diffusion, fBM via Wood & Chan circulant embedding on base fft().
# Each sim returns list(value, lower_bound, upper_bound, certainty) for a
# price forecast `horizon` steps ahead, from a log-price history.
.log_returns <- function(prices) diff(log(prices))
# Geometric Brownian motion: mu/sigma estimated from history, terminal
# distribution is lognormal so quantiles are closed-form; MC paths give the
# certainty estimate (dispersion-based).
sim_gbm <- function(prices, horizon, n_paths = 5000L, level = 0.90) {
r <- .log_returns(prices)
mu <- mean(r); sigma <- sd(r)
s0 <- prices[length(prices)]
z <- matrix(rnorm(n_paths * horizon), n_paths, horizon)
paths <- s0 * exp(t(apply((mu - sigma^2 / 2) + sigma * z, 1, cumsum)))
terminal <- paths[, horizon]
a <- (1 - level) / 2
list(value = median(terminal),
lower_bound = unname(quantile(terminal, a)),
upper_bound = unname(quantile(terminal, 1 - a)),
certainty = .dispersion_certainty(terminal, s0))
}
# Heston stochastic volatility, Euler–Maruyama with full truncation for the
# variance process (v is floored inside the drift/diffusion, not clamped
# after, which avoids the classical bias at low kappa*theta).
sim_heston <- function(prices, horizon, n_paths = 5000L, level = 0.90,
kappa = 2.0, rho = -0.7) {
r <- .log_returns(prices)
mu <- mean(r)
theta <- var(r) # long-run variance
v0 <- .ewma_var(r) # spot variance
xi <- sd((r - mean(r))^2) * sqrt(2) # crude vol-of-vol from squared returns
s0 <- prices[length(prices)]
s <- rep(log(s0), n_paths)
v <- rep(v0, n_paths)
for (t in seq_len(horizon)) {
z1 <- rnorm(n_paths)
z2 <- rho * z1 + sqrt(1 - rho^2) * rnorm(n_paths)
vp <- pmax(v, 0)
s <- s + (mu - vp / 2) + sqrt(vp) * z1
v <- v + kappa * (theta - vp) + xi * sqrt(vp) * z2
}
terminal <- exp(s)
a <- (1 - level) / 2
list(value = median(terminal),
lower_bound = unname(quantile(terminal, a)),
upper_bound = unname(quantile(terminal, 1 - a)),
certainty = .dispersion_certainty(terminal, s0))
}
# Merton jump-diffusion: jumps detected as |return| > 3 sd of the
# jump-cleaned series (iterated once); Poisson arrivals, lognormal sizes.
sim_jump_diffusion <- function(prices, horizon, n_paths = 5000L, level = 0.90) {
r <- .log_returns(prices)
thresh <- 3 * sd(r)
jumps <- abs(r - mean(r)) > thresh
diffusive <- r[!jumps]
mu <- mean(diffusive); sigma <- sd(diffusive)
lambda <- max(sum(jumps) / length(r), 1e-6) # jumps per step
jump_mu <- if (any(jumps)) mean(r[jumps]) else 0
jump_sd <- if (sum(jumps) > 1) sd(r[jumps]) else sigma
s0 <- prices[length(prices)]
logret <- matrix(rnorm(n_paths * horizon, mu - sigma^2 / 2, sigma),
n_paths, horizon)
n_jumps <- matrix(rpois(n_paths * horizon, lambda), n_paths, horizon)
jump_part <- matrix(rnorm(n_paths * horizon,
n_jumps * jump_mu,
sqrt(pmax(n_jumps, 1e-12)) * jump_sd),
n_paths, horizon)
jump_part[n_jumps == 0] <- 0
terminal <- s0 * exp(rowSums(logret + jump_part))
a <- (1 - level) / 2
list(value = median(terminal),
lower_bound = unname(quantile(terminal, a)),
upper_bound = unname(quantile(terminal, 1 - a)),
certainty = .dispersion_certainty(terminal, s0))
}
# Fractional Brownian motion increments (fGn) by Wood & Chan (1994)
# circulant embedding: exact in distribution, O(n log n) via fft. Hurst
# exponent estimated from history by aggregated-variance slope.
sim_fbm <- function(prices, horizon, n_paths = 2000L, level = 0.90) {
r <- .log_returns(prices)
H <- .hurst_aggvar(r)
sigma <- sd(r); mu <- mean(r)
s0 <- prices[length(prices)]
n <- horizon
# fGn autocovariance gamma(k), circulant embedding of size 2m
k <- 0:n
gam <- 0.5 * (abs(k - 1)^(2 * H) - 2 * abs(k)^(2 * H) + abs(k + 1)^(2 * H))
circ <- c(gam, rev(gam[2:n])) # length 2n
lam <- Re(fft(circ))
lam[lam < 0] <- 0 # numerical guard; embedding may fail
m2 <- length(circ)
terminal <- numeric(n_paths)
for (p in seq_len(n_paths)) {
zr <- rnorm(m2); zi <- rnorm(m2)
w <- fft(sqrt(lam / m2) * complex(real = zr, imaginary = zi),
inverse = FALSE)
fgn <- Re(w)[1:n] * sigma
terminal[p] <- s0 * exp(sum(mu + fgn))
}
a <- (1 - level) / 2
list(value = median(terminal),
lower_bound = unname(quantile(terminal, a)),
upper_bound = unname(quantile(terminal, 1 - a)),
certainty = .dispersion_certainty(terminal, s0) *
(1 - abs(H - 0.5))) # discount when H estimate is extreme
}
# --- shared estimators ------------------------------------------------------
.ewma_var <- function(r, lambda = 0.94) {
v <- var(r)
for (x in r) v <- lambda * v + (1 - lambda) * x^2
v
}
.hurst_aggvar <- function(r, max_scale = 16L) {
scales <- 2^(1:floor(log2(min(max_scale, length(r) / 4))))
if (length(scales) < 2) return(0.5)
vars <- vapply(scales, function(m) {
k <- floor(length(r) / m)
var(colMeans(matrix(r[1:(k * m)], m, k)))
}, numeric(1))
slope <- coef(lm(log(vars) ~ log(scales)))[2]
h <- 1 + slope / 2
min(max(h, 0.05), 0.95)
}
# Map MC dispersion into (0,1]: tight terminal distribution relative to the
# spot price = high certainty. Purely internal to M3a; the Hub calibrates.
.dispersion_certainty <- function(terminal, s0) {
spread <- IQR(terminal) / s0
unname(1 / (1 + 5 * spread))
}
+158
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*> wallet.cob
*> Monero Wallet Interface in COBOL
*> Handles wallet balance checks and multisig transaction creation.
*> Dependencies: Ada bridge functions (ada_get_wallet_balance,
*> ada_build_monero_multisig_tx)
IDENTIFICATION DIVISION.
PROGRAM-ID. XMR-WALLET.
ENVIRONMENT DIVISION.
CONFIGURATION SECTION.
SPECIAL-NAMES.
DECIMAL-POINT IS COMMA.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 WS-STATUS-CODE PIC 9(9) COMP-5 VALUE 0.
01 XMR-SUCCESS PIC 9(9) COMP-5 VALUE 0.
01 XMR-ERROR-INVALID-REQUEST PIC 9(9) COMP-5 VALUE 1.
01 XMR-ERROR-BUFFER-TOO-SMALL PIC 9(9) COMP-5 VALUE 2.
01 XMR-ERROR-UNSUPPORTED-CHAIN PIC 9(9) COMP-5 VALUE 3.
01 XMR-ERROR-CRYPTO-FAILURE PIC 9(9) COMP-5 VALUE 4.
01 XMR-ERROR-MULTISIG-INCOMPLETE PIC 9(9) COMP-5 VALUE 5.
01 XMR-ERROR-IO-FAILURE PIC 9(9) COMP-5 VALUE 6.
01 WS-WALLET-ID PIC X(64).
01 WS-ACCOUNT-ID PIC X(64).
01 WS-DESTINATION-ADDRESS PIC X(256).
01 WS-DESTINATION-LEN PIC 9(4) COMP-5.
01 WS-AMOUNT-ATOMIC PIC 9(20) COMP-5.
01 WS-MULTISIG-REQUIRED PIC 9(9) COMP-5.
01 WS-MULTISIG-TOTAL PIC 9(9) COMP-5.
01 WS-TX-BLOB.
05 WS-TX-BUFFER PIC X(65536) VALUE SPACES.
05 WS-TX-BUFFER-MAX PIC 9(9) COMP-5 VALUE 65536.
05 WS-TX-BUFFER-LEN PIC 9(9) COMP-5 VALUE 0.
01 WS-TX-ID.
05 WS-TX-ID-BUFFER PIC X(128) VALUE SPACES.
05 WS-TX-ID-MAX PIC 9(9) COMP-5 VALUE 128.
05 WS-TX-ID-LEN PIC 9(9) COMP-5 VALUE 0.
01 WS-BALANCE.
05 WS-BALANCE-ATOMIC PIC 9(20) COMP-5 VALUE 0.
01 TEMP-INPUT.
05 TEMP-AMOUNT PIC X(20).
05 TEMP-REQUIRED PIC X(5).
05 TEMP-TOTAL PIC X(5).
PROCEDURE DIVISION.
MAIN.
DISPLAY "COBOL MONERO WALLET INTERFACE STARTED".
DISPLAY "ENTER WALLET ID (max 64 chars): ".
ACCEPT WS-WALLET-ID.
DISPLAY "ENTER ACCOUNT ID (max 64 chars): ".
ACCEPT WS-ACCOUNT-ID.
DISPLAY "ENTER DESTINATION ADDRESS (max 256 chars): ".
ACCEPT WS-DESTINATION-ADDRESS.
MOVE FUNCTION LENGTH(WS-DESTINATION-ADDRESS)
TO WS-DESTINATION-LEN.
IF WS-DESTINATION-LEN > 256
DISPLAY "ERROR: Destination address too long."
STOP RUN
END-IF.
DISPLAY "ENTER AMOUNT (atomic units, max 18 digits): ".
ACCEPT TEMP-AMOUNT.
MOVE TEMP-AMOUNT TO WS-AMOUNT-ATOMIC.
IF WS-AMOUNT-ATOMIC = 0
DISPLAY "ERROR: Amount must be > 0."
STOP RUN
END-IF.
DISPLAY "ENTER MULTISIG REQUIRED SIGNERS (1-10): ".
ACCEPT TEMP-REQUIRED.
MOVE TEMP-REQUIRED TO WS-MULTISIG-REQUIRED.
DISPLAY "ENTER MULTISIG TOTAL SIGNERS (1-10): ".
ACCEPT TEMP-TOTAL.
MOVE TEMP-TOTAL TO WS-MULTISIG-TOTAL.
IF WS-MULTISIG-REQUIRED <= 0
OR WS-MULTISIG-TOTAL <= 0
DISPLAY "ERROR: Signers must be > 0."
STOP RUN
END-IF.
IF WS-MULTISIG-REQUIRED > WS-MULTISIG-TOTAL
DISPLAY "ERROR: Required > total signers."
STOP RUN
END-IF.
PERFORM CHECK-BALANCE.
PERFORM CREATE-MONERO-SPEND.
DISPLAY "COBOL WALLET FINISHED".
STOP RUN.
CHECK-BALANCE.
CALL "ada_get_wallet_balance"
USING
BY REFERENCE WS-WALLET-ID
BY REFERENCE WS-ACCOUNT-ID
BY REFERENCE WS-BALANCE-ATOMIC
RETURNING WS-STATUS-CODE
END-CALL.
EVALUATE WS-STATUS-CODE
WHEN XMR-SUCCESS
DISPLAY "BALANCE (ATOMIC): " WS-BALANCE-ATOMIC
WHEN XMR-ERROR-INVALID-REQUEST
DISPLAY "BALANCE ERROR: Invalid request."
WHEN XMR-ERROR-IO-FAILURE
DISPLAY "BALANCE ERROR: I/O failure."
WHEN OTHER
DISPLAY "BALANCE ERROR: Code " WS-STATUS-CODE
END-EVALUATE.
CREATE-MONERO-SPEND.
DISPLAY "REQUESTING MONERO MULTISIG SPEND".
CALL "ada_build_monero_multisig_tx"
USING
BY REFERENCE WS-WALLET-ID
BY REFERENCE WS-ACCOUNT-ID
BY REFERENCE WS-DESTINATION-ADDRESS
BY VALUE WS-AMOUNT-ATOMIC
BY VALUE WS-MULTISIG-REQUIRED
BY VALUE WS-MULTISIG-TOTAL
BY REFERENCE WS-TX-BUFFER
BY VALUE WS-TX-BUFFER-MAX
BY REFERENCE WS-TX-BUFFER-LEN
BY REFERENCE WS-TX-ID-BUFFER
BY VALUE WS-TX-ID-MAX
BY REFERENCE WS-TX-ID-LEN
RETURNING WS-STATUS-CODE
END-CALL.
EVALUATE WS-STATUS-CODE
WHEN XMR-SUCCESS
DISPLAY "TX CREATED SUCCESSFULLY."
DISPLAY "TX ID: "
WS-TX-ID-BUFFER(1:WS-TX-ID-LEN)
WHEN XMR-ERROR-INVALID-REQUEST
DISPLAY "TX ERROR: Invalid request."
WHEN XMR-ERROR-BUFFER-TOO-SMALL
DISPLAY "TX ERROR: Buffer too small."
WHEN XMR-ERROR-MULTISIG-INCOMPLETE
DISPLAY "TX ERROR: Multisig incomplete."
WHEN XMR-ERROR-IO-FAILURE
DISPLAY "TX ERROR: I/O failure."
WHEN OTHER
DISPLAY "TX ERROR: Code " WS-STATUS-CODE
END-EVALUATE.
+185
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with Interfaces.C;
with System;
with Monero_IO;
with Monero_Multisig;
with Fortran_Crypto;
with Monero_Types;
package body Ada_Bridge is
pragma SPARK_Mode (Off);
Scratch_Max : constant Interfaces.C.int := 65536;
type Byte is mod 2 ** 8;
type Byte_Array is array (Natural range <>) of aliased Byte;
function Ada_Get_Wallet_Balance
(Wallet_Id : System.Address;
Account_Id : System.Address;
Balance : access Interfaces.C.unsigned_long_long)
return Interfaces.C.int
is
pragma Unreferenced (Wallet_Id, Account_Id);
begin
Balance.all := 0;
return Monero_Types.Success;
exception
when others =>
return Monero_Types.Error_IO_Failure;
end Ada_Get_Wallet_Balance;
function Ada_Build_Monero_Multisig_Tx
(Wallet_Id : System.Address;
Account_Id : System.Address;
Destination_Address : System.Address;
Amount_Atomic : Interfaces.C.unsigned_long_long;
Required_Signers : Interfaces.C.int;
Total_Signers : Interfaces.C.int;
Tx_Buffer : System.Address;
Tx_Buffer_Max : Interfaces.C.int;
Tx_Buffer_Length : access Interfaces.C.int;
Tx_Id_Buffer : System.Address;
Tx_Id_Max : Interfaces.C.int;
Tx_Id_Length : access Interfaces.C.int)
return Interfaces.C.int
is
pragma Unreferenced (Account_Id);
Status : Interfaces.C.int;
Spendable_Outputs : Byte_Array (0 .. Natural (Scratch_Max) - 1);
Spendable_Length : aliased Interfaces.C.int := 0;
Ring_Members : Byte_Array (0 .. Natural (Scratch_Max) - 1);
Ring_Length : aliased Interfaces.C.int := 0;
Multisig_Round : Byte_Array (0 .. Natural (Scratch_Max) - 1);
Multisig_Length : aliased Interfaces.C.int := 0;
RingCT_Output : Byte_Array (0 .. Natural (Scratch_Max) - 1);
RingCT_Length : aliased Interfaces.C.int := 0;
CLSAG_Output : Byte_Array (0 .. Natural (Scratch_Max) - 1);
CLSAG_Length : aliased Interfaces.C.int := 0;
Bulletproof_Out : Byte_Array (0 .. Natural (Scratch_Max) - 1);
Bulletproof_Len : aliased Interfaces.C.int := 0;
begin
if Destination_Address = System.Null_Address
or else Amount_Atomic = 0
then
return Monero_Types.Error_Invalid_Request;
end if;
if Required_Signers <= 0
or else Total_Signers <= 0
or else Required_Signers > Total_Signers
then
return Monero_Types.Error_Invalid_Request;
end if;
if Tx_Buffer_Max <= 0 or else Tx_Id_Max < 64 then
return Monero_Types.Error_Buffer_Too_Small;
end if;
Status :=
Monero_IO.Fetch_Spendable_Outputs
(Wallet_Buffer => Wallet_Id,
Wallet_Length => 64,
Output_Buffer => Spendable_Outputs (0)'Address,
Output_Max => Scratch_Max,
Output_Length => Spendable_Length'Access);
if Status /= Monero_Types.Success then
return Status;
end if;
Status :=
Monero_IO.Fetch_Ring_Members
(Input_Buffer => Spendable_Outputs (0)'Address,
Input_Length => Spendable_Length,
Output_Buffer => Ring_Members (0)'Address,
Output_Max => Scratch_Max,
Output_Length => Ring_Length'Access);
if Status /= Monero_Types.Success then
return Status;
end if;
Status :=
Monero_Multisig.Prepare_Multisig_Round
(Input_Buffer => Ring_Members (0)'Address,
Input_Length => Ring_Length,
Output_Buffer => Multisig_Round (0)'Address,
Output_Max => Scratch_Max,
Output_Length => Multisig_Length'Access);
if Status /= Monero_Types.Success then
return Status;
end if;
Status :=
Fortran_Crypto.XMR_Generate_RingCT
(Input_Buffer => Multisig_Round (0)'Address,
Input_Length => Multisig_Length,
Output_Buffer => RingCT_Output (0)'Address,
Output_Max => Scratch_Max,
Output_Length => RingCT_Length'Access);
if Status /= Monero_Types.Success then
return Status;
end if;
Status :=
Fortran_Crypto.XMR_Generate_CLSAG
(Input_Buffer => RingCT_Output (0)'Address,
Input_Length => RingCT_Length,
Output_Buffer => CLSAG_Output (0)'Address,
Output_Max => Scratch_Max,
Output_Length => CLSAG_Length'Access);
if Status /= Monero_Types.Success then
return Status;
end if;
Status :=
Fortran_Crypto.XMR_Generate_Bulletproof
(Input_Buffer => CLSAG_Output (0)'Address,
Input_Length => CLSAG_Length,
Output_Buffer => Bulletproof_Out (0)'Address,
Output_Max => Scratch_Max,
Output_Length => Bulletproof_Len'Access);
if Status /= Monero_Types.Success then
return Status;
end if;
if Bulletproof_Len > Tx_Buffer_Max then
return Monero_Types.Error_Buffer_Too_Small;
end if;
Tx_Buffer_Length.all := Bulletproof_Len;
declare
Tx_Out : Byte_Array (0 .. Natural (Tx_Buffer_Max) - 1)
with Address => Tx_Buffer;
begin
Tx_Out (0 .. Natural (Bulletproof_Len) - 1) :=
Bulletproof_Out (0 .. Natural (Bulletproof_Len) - 1);
end;
Tx_Id_Length.all := 64;
declare
Tx_Id_Out : Byte_Array (0 .. Natural (Tx_Id_Max) - 1)
with Address => Tx_Id_Buffer;
begin
Tx_Id_Out (0 .. 63) := Bulletproof_Out (0 .. 63);
end;
Status :=
Monero_IO.Broadcast_Transaction
(Tx_Buffer, Tx_Buffer_Length.all);
if Status /= Monero_Types.Success then
return Status;
end if;
return Monero_Types.Success;
exception
when others =>
return Monero_Types.Error_IO_Failure;
end Ada_Build_Monero_Multisig_Tx;
end Ada_Bridge;
+30
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with Interfaces.C;
with System;
package Ada_Bridge is
pragma SPARK_Mode (Off);
function Ada_Get_Wallet_Balance
(Wallet_Id : System.Address;
Account_Id : System.Address;
Balance : access Interfaces.C.unsigned_long_long)
return Interfaces.C.int
with Export, Convention => C, External_Name => "ada_get_wallet_balance";
function Ada_Build_Monero_Multisig_Tx
(Wallet_Id : System.Address;
Account_Id : System.Address;
Destination_Address : System.Address;
Amount_Atomic : Interfaces.C.unsigned_long_long;
Required_Signers : Interfaces.C.int;
Total_Signers : Interfaces.C.int;
Tx_Buffer : System.Address;
Tx_Buffer_Max : Interfaces.C.int;
Tx_Buffer_Length : access Interfaces.C.int;
Tx_Id_Buffer : System.Address;
Tx_Id_Max : Interfaces.C.int;
Tx_Id_Length : access Interfaces.C.int)
return Interfaces.C.int
with Export, Convention => C, External_Name => "ada_build_monero_multisig_tx";
end Ada_Bridge;
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with Interfaces.C;
with System;
package Fortran_Crypto is
pragma SPARK_Mode (Off);
function XMR_Hash_To_Scalar
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_hash_to_scalar";
function XMR_Hash_To_Point
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_hash_to_point";
function XMR_Generate_Key_Image
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_generate_key_image";
function XMR_Generate_RingCT
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_generate_ringct";
function XMR_Verify_RingCT
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_verify_ringct";
function XMR_Multisig_Prepare
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_multisig_prepare";
function XMR_Multisig_Combine
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_multisig_combine";
function XMR_Generate_CLSAG
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_generate_clsag";
function XMR_Generate_Bulletproof
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
with Import, Convention => C, External_Name => "xmr_generate_bulletproof";
end Fortran_Crypto;
+217
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module monero_crypto
use iso_c_binding
implicit none
integer(c_int), parameter :: XMR_SUCCESS = 0
integer(c_int), parameter :: XMR_ERROR_INVALID = 1
integer(c_int), parameter :: XMR_ERROR_BUFFER_TOO_SMALL = 2
integer(c_int), parameter :: XMR_ERROR_CRYPTO = 4
contains
function xmr_hash_to_scalar(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_hash_to_scalar") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
integer(c_signed_char), pointer :: input(:), output(:)
integer :: i
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 32) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
call c_f_pointer(input_ptr, input, [input_len])
call c_f_pointer(output_ptr, output, [output_max])
do i = 1, min(input_len, 32, output_max)
output(i) = input(i)
end do
output_len = 32
status = XMR_SUCCESS
end function xmr_hash_to_scalar
function xmr_hash_to_point(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_hash_to_point") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 32) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 32
status = XMR_SUCCESS
end function xmr_hash_to_point
function xmr_generate_key_image(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_generate_key_image") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 32) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 32
status = XMR_SUCCESS
end function xmr_generate_key_image
function xmr_generate_ringct(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_generate_ringct") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 1024) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 1024
status = XMR_SUCCESS
end function xmr_generate_ringct
function xmr_verify_ringct(input_ptr, input_len) &
bind(C, name="xmr_verify_ringct") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. input_len < 0) then
status = XMR_ERROR_INVALID
return
end if
status = XMR_SUCCESS
end function xmr_verify_ringct
function xmr_multisig_prepare(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_multisig_prepare") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 1024) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 1024
status = XMR_SUCCESS
end function xmr_multisig_prepare
function xmr_multisig_combine(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_multisig_combine") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 2048) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 2048
status = XMR_SUCCESS
end function xmr_multisig_combine
function xmr_generate_clsag(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_generate_clsag") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 512) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 512
status = XMR_SUCCESS
end function xmr_generate_clsag
function xmr_generate_bulletproof(input_ptr, input_len, output_ptr, output_max, output_len) &
bind(C, name="xmr_generate_bulletproof") result(status)
type(c_ptr), value :: input_ptr
integer(c_int), value :: input_len
type(c_ptr), value :: output_ptr
integer(c_int), value :: output_max
integer(c_int) :: output_len
integer(c_int) :: status
if (.not. c_associated(input_ptr) .or. .not. c_associated(output_ptr)) then
output_len = 0
status = XMR_ERROR_INVALID
return
end if
if (input_len < 0 .or. output_max < 2048) then
output_len = 0
status = XMR_ERROR_BUFFER_TOO_SMALL
return
end if
output_len = 2048
status = XMR_SUCCESS
end function xmr_generate_bulletproof
end module monero_crypto
+46
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with Interfaces.C;
package body Monero_IO is
pragma SPARK_Mode (Off);
function Fetch_Spendable_Outputs
(Wallet_Buffer : System.Address;
Wallet_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
is
pragma Unreferenced (Wallet_Buffer, Wallet_Length);
pragma Unreferenced (Output_Buffer, Output_Max);
begin
Output_Length.all := 0;
return 0;
end Fetch_Spendable_Outputs;
function Fetch_Ring_Members
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
is
pragma Unreferenced (Input_Buffer, Input_Length);
pragma Unreferenced (Output_Buffer, Output_Max);
begin
Output_Length.all := 0;
return 0;
end Fetch_Ring_Members;
function Broadcast_Transaction
(Tx_Buffer : System.Address;
Tx_Length : Interfaces.C.int)
return Interfaces.C.int
is
pragma Unreferenced (Tx_Buffer, Tx_Length);
begin
return 0;
end Broadcast_Transaction;
end Monero_IO;
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with Interfaces.C;
with System;
package Monero_IO is
pragma SPARK_Mode (Off);
function Fetch_Spendable_Outputs
(Wallet_Buffer : System.Address;
Wallet_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int;
function Fetch_Ring_Members
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int;
function Broadcast_Transaction
(Tx_Buffer : System.Address;
Tx_Length : Interfaces.C.int)
return Interfaces.C.int;
end Monero_IO;
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with Fortran_Crypto;
package body Monero_Multisig is
pragma SPARK_Mode (Off);
function Prepare_Multisig_Round
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
is
begin
return Fortran_Crypto.XMR_Multisig_Prepare
(Input_Buffer, Input_Length,
Output_Buffer, Output_Max, Output_Length);
end Prepare_Multisig_Round;
function Combine_Multisig_Rounds
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int
is
begin
return Fortran_Crypto.XMR_Multisig_Combine
(Input_Buffer, Input_Length,
Output_Buffer, Output_Max, Output_Length);
end Combine_Multisig_Rounds;
end Monero_Multisig;
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with Interfaces.C;
with System;
package Monero_Multisig is
pragma SPARK_Mode (Off);
function Prepare_Multisig_Round
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int;
function Combine_Multisig_Rounds
(Input_Buffer : System.Address;
Input_Length : Interfaces.C.int;
Output_Buffer : System.Address;
Output_Max : Interfaces.C.int;
Output_Length : access Interfaces.C.int)
return Interfaces.C.int;
end Monero_Multisig;
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package body Monero_Types is
pragma SPARK_Mode (On);
function Threshold_Reached
(Participants : Multisig_Participant_Array;
Required : Positive)
return Boolean
is
Count : Natural := 0;
begin
for P of Participants loop
if P.Status = Accepted then
Count := Count + 1;
end if;
if Count >= Required then
return True;
end if;
end loop;
return False;
end Threshold_Reached;
end Monero_Types;
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with Interfaces.C;
package Monero_Types is
pragma SPARK_Mode (On);
subtype Status_Code is Interfaces.C.int;
Success : constant Status_Code := 0;
Error_Invalid_Request : constant Status_Code := 1;
Error_Buffer_Too_Small : constant Status_Code := 2;
Error_Unsupported_Chain : constant Status_Code := 3;
Error_Crypto_Failure : constant Status_Code := 4;
Error_Multisig_Incomplete : constant Status_Code := 5;
Error_IO_Failure : constant Status_Code := 6;
type Atomic_Amount is mod 2 ** 64;
type Monero_Tx_State is
(Draft,
Inputs_Selected,
Rings_Selected,
RingCT_Prepared,
Multisig_Partial,
Multisig_Complete,
Finalized,
Submitted,
Failed);
type Signature_Status is (Missing, Present, Invalid, Accepted);
type Participant_Id is range 1 .. 10;
type Multisig_Participant is record
Id : Participant_Id;
Status : Signature_Status;
end record;
type Multisig_Participant_Array is
array (1 .. 10) of Multisig_Participant;
type Tx_Context is record
Amount_Atomic : Atomic_Amount;
Required_Signers : Positive range 1 .. 10;
Total_Signers : Positive range 1 .. 10;
State : Monero_Tx_State;
end record;
function Threshold_Reached
(Participants : Multisig_Participant_Array;
Required : Positive)
return Boolean
with Pre => Required <= 10;
end Monero_Types;