kubernetes/pkg/api/resource/math_test.go

/*
Copyright 2014 The Kubernetes Authors.

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

package resource

import (
	"testing"
)

func TestDetectOverflowAdd(t *testing.T) {
	for _, test := range []struct {
		a, b int64
		c    int64
		ok   bool
	}{
		{0, 0, 0, true},
		{-1, 1, 0, true},
		{0, 1, 1, true},
		{2, 2, 4, true},
		{2, -2, 0, true},
		{-2, -2, -4, true},

		{mostNegative, -1, 0, false},
		{mostNegative, 1, mostNegative + 1, true},
		{mostPositive, -1, mostPositive - 1, true},
		{mostPositive, 1, 0, false},

		{mostNegative, mostPositive, -1, true},
		{mostPositive, mostNegative, -1, true},
		{mostPositive, mostPositive, 0, false},
		{mostNegative, mostNegative, 0, false},

		{-mostPositive, mostNegative, 0, false},
		{mostNegative, -mostPositive, 0, false},
		{-mostPositive, -mostPositive, 0, false},
	} {
		c, ok := int64Add(test.a, test.b)
		if c != test.c {
			t.Errorf("%v: unexpected result: %d", test, c)
		}
		if ok != test.ok {
			t.Errorf("%v: unexpected overflow: %t", test, ok)
		}
		// addition is commutative
		d, ok2 := int64Add(test.b, test.a)
		if c != d || ok != ok2 {
			t.Errorf("%v: not commutative: %d %t", test, d, ok2)
		}
	}
}

func TestDetectOverflowMultiply(t *testing.T) {
	for _, test := range []struct {
		a, b int64
		c    int64
		ok   bool
	}{
		{0, 0, 0, true},
		{-1, 1, -1, true},
		{-1, -1, 1, true},
		{1, 1, 1, true},
		{0, 1, 0, true},
		{1, 0, 0, true},
		{2, 2, 4, true},
		{2, -2, -4, true},
		{-2, -2, 4, true},

		{mostNegative, -1, 0, false},
		{mostNegative, 1, mostNegative, true},
		{mostPositive, -1, -mostPositive, true},
		{mostPositive, 1, mostPositive, true},

		{mostNegative, mostPositive, 0, false},
		{mostPositive, mostNegative, 0, false},
		{mostPositive, mostPositive, 1, false},
		{mostNegative, mostNegative, 0, false},

		{-mostPositive, mostNegative, 0, false},
		{mostNegative, -mostPositive, 0, false},
		{-mostPositive, -mostPositive, 1, false},
	} {
		c, ok := int64Multiply(test.a, test.b)
		if c != test.c {
			t.Errorf("%v: unexpected result: %d", test, c)
		}
		if ok != test.ok {
			t.Errorf("%v: unexpected overflow: %t", test, ok)
		}
		// multiplication is commutative
		d, ok2 := int64Multiply(test.b, test.a)
		if c != d || ok != ok2 {
			t.Errorf("%v: not commutative: %d %t", test, d, ok2)
		}
	}
}

func TestDetectOverflowScale(t *testing.T) {
	for _, a := range []int64{0, -1, 1, 10, -10, mostPositive, mostNegative, -mostPositive} {
		for _, b := range []int64{1, 2, 10, 100, 1000, mostPositive} {
			expect, expectOk := int64Multiply(a, b)

			c, ok := int64MultiplyScale(a, b)
			if c != expect {
				t.Errorf("%d*%d: unexpected result: %d", a, b, c)
			}
			if ok != expectOk {
				t.Errorf("%d*%d: unexpected overflow: %t", a, b, ok)
			}
		}
		for _, test := range []struct {
			base int64
			fn   func(a int64) (int64, bool)
		}{
			{10, int64MultiplyScale10},
			{100, int64MultiplyScale100},
			{1000, int64MultiplyScale1000},
		} {
			expect, expectOk := int64Multiply(a, test.base)
			c, ok := test.fn(a)
			if c != expect {
				t.Errorf("%d*%d: unexpected result: %d", a, test.base, c)
			}
			if ok != expectOk {
				t.Errorf("%d*%d: unexpected overflow: %t", a, test.base, ok)
			}
		}
	}
}

func TestRemoveInt64Factors(t *testing.T) {
	for _, test := range []struct {
		value  int64
		max    int64
		result int64
		scale  int32
	}{
		{100, 10, 1, 2},
		{100, 10, 1, 2},
		{100, 100, 1, 1},
		{1, 10, 1, 0},
	} {
		r, s := removeInt64Factors(test.value, test.max)
		if r != test.result {
			t.Errorf("%v: unexpected result: %d", test, r)
		}
		if s != test.scale {
			t.Errorf("%v: unexpected scale: %d", test, s)
		}
	}
}

func TestNegativeScaleInt64(t *testing.T) {
	for _, test := range []struct {
		base   int64
		scale  Scale
		result int64
		exact  bool
	}{
		{1234567, 0, 1234567, true},
		{1234567, 1, 123457, false},
		{1234567, 2, 12346, false},
		{1234567, 3, 1235, false},
		{1234567, 4, 124, false},

		{-1234567, 0, -1234567, true},
		{-1234567, 1, -123457, false},
		{-1234567, 2, -12346, false},
		{-1234567, 3, -1235, false},
		{-1234567, 4, -124, false},

		{1000, 0, 1000, true},
		{1000, 1, 100, true},
		{1000, 2, 10, true},
		{1000, 3, 1, true},
		{1000, 4, 1, false},

		{-1000, 0, -1000, true},
		{-1000, 1, -100, true},
		{-1000, 2, -10, true},
		{-1000, 3, -1, true},
		{-1000, 4, -1, false},

		{0, 0, 0, true},
		{0, 1, 0, true},
		{0, 2, 0, true},

		// negative scale is undefined behavior
		{1000, -1, 1000, true},
	} {
		result, exact := negativeScaleInt64(test.base, test.scale)
		if result != test.result {
			t.Errorf("%v: unexpected result: %d", test, result)
		}
		if exact != test.exact {
			t.Errorf("%v: unexpected exact: %t", test, exact)
		}
	}
}