From 43a123c1ae6613b3efeed291fa552ecd909d3acf Mon Sep 17 00:00:00 2001 From: Daniel Baumann Date: Tue, 16 Apr 2024 21:23:18 +0200 Subject: Adding upstream version 1.20.14. Signed-off-by: Daniel Baumann --- test/peano.go | 131 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 131 insertions(+) create mode 100644 test/peano.go (limited to 'test/peano.go') diff --git a/test/peano.go b/test/peano.go new file mode 100644 index 0000000..1102a97 --- /dev/null +++ b/test/peano.go @@ -0,0 +1,131 @@ +// run + +// Copyright 2009 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Test that heavy recursion works. Simple torture test for +// segmented stacks: do math in unary by recursion. + +package main + +import "runtime" + +type Number *Number + +// ------------------------------------- +// Peano primitives + +func zero() *Number { + return nil +} + +func is_zero(x *Number) bool { + return x == nil +} + +func add1(x *Number) *Number { + e := new(Number) + *e = x + return e +} + +func sub1(x *Number) *Number { + return *x +} + +func add(x, y *Number) *Number { + if is_zero(y) { + return x + } + + return add(add1(x), sub1(y)) +} + +func mul(x, y *Number) *Number { + if is_zero(x) || is_zero(y) { + return zero() + } + + return add(mul(x, sub1(y)), x) +} + +func fact(n *Number) *Number { + if is_zero(n) { + return add1(zero()) + } + + return mul(fact(sub1(n)), n) +} + +// ------------------------------------- +// Helpers to generate/count Peano integers + +func gen(n int) *Number { + if n > 0 { + return add1(gen(n - 1)) + } + + return zero() +} + +func count(x *Number) int { + if is_zero(x) { + return 0 + } + + return count(sub1(x)) + 1 +} + +func check(x *Number, expected int) { + var c = count(x) + if c != expected { + print("error: found ", c, "; expected ", expected, "\n") + panic("fail") + } +} + +// ------------------------------------- +// Test basic functionality + +func init() { + check(zero(), 0) + check(add1(zero()), 1) + check(gen(10), 10) + + check(add(gen(3), zero()), 3) + check(add(zero(), gen(4)), 4) + check(add(gen(3), gen(4)), 7) + + check(mul(zero(), zero()), 0) + check(mul(gen(3), zero()), 0) + check(mul(zero(), gen(4)), 0) + check(mul(gen(3), add1(zero())), 3) + check(mul(add1(zero()), gen(4)), 4) + check(mul(gen(3), gen(4)), 12) + + check(fact(zero()), 1) + check(fact(add1(zero())), 1) + check(fact(gen(5)), 120) +} + +// ------------------------------------- +// Factorial + +var results = [...]int{ + 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, + 39916800, 479001600, +} + +func main() { + max := 9 + if runtime.GOARCH == "wasm" { + max = 7 // stack size is limited + } + for i := 0; i <= max; i++ { + if f := count(fact(gen(i))); f != results[i] { + println("FAIL:", i, "!:", f, "!=", results[i]) + panic(0) + } + } +} -- cgit v1.2.3