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interval_test.go
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interval_test.go
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package musictheory
import (
"math"
"testing"
)
func TestIntervals(test *testing.T) {
data := []struct {
typeFunc IntervalFunc
step int
expectedOctaves int
expectedDiatonic int
expectedChromatic int
}{
{Perfect, 1, 0, 0, 0},
{Perfect, 2, 0, 1, 2},
{Perfect, 3, 0, 2, 4},
{Perfect, 4, 0, 3, 5},
{Perfect, 5, 0, 4, 7},
{Perfect, 6, 0, 5, 9},
{Perfect, 7, 0, 6, 11},
{Perfect, 8, 1, 0, 0},
{Major, 1, 0, 0, 0},
{Major, 2, 0, 1, 2},
{Major, 3, 0, 2, 4},
{Major, 4, 0, 3, 5},
{Major, 5, 0, 4, 7},
{Major, 6, 0, 5, 9},
{Major, 7, 0, 6, 11},
{Major, 8, 1, 0, 0},
{Augmented, 2, 0, 1, 3},
{Augmented, 3, 0, 2, 5},
{Augmented, 4, 0, 3, 6},
{Augmented, 5, 0, 4, 8},
{Augmented, 6, 0, 5, 10},
{Augmented, 7, 0, 6, 12},
{Augmented, 8, 1, 0, 1},
{Diminished, 2, 0, 1, 0},
{Diminished, 3, 0, 2, 2},
{Diminished, 4, 0, 3, 4},
{Diminished, 5, 0, 4, 6},
{Diminished, 6, 0, 5, 7},
{Diminished, 7, 0, 6, 9},
{Diminished, 8, 1, 0, -1},
{Minor, 2, 0, 1, 1},
{Minor, 3, 0, 2, 3},
{Minor, 5, 0, 4, 6},
{Minor, 7, 0, 6, 10},
}
for i, t := range data {
actual := t.typeFunc(t.step)
if actual.Octaves != t.expectedOctaves ||
actual.Diatonic != t.expectedDiatonic ||
actual.Chromatic != t.expectedChromatic {
test.Errorf("index=%d actual=%d expected=(octaves=%d diatonic=%d chromatic=%d)",
i,
actual,
t.expectedOctaves,
t.expectedDiatonic,
t.expectedChromatic)
}
}
}
func TestIntervalQuality(test *testing.T) {
data := []struct {
input Interval
expected Quality
}{
{Perfect(5), Quality{PerfectType, 0}},
{Major(2), Quality{MajorType, 0}},
{Minor(3), Quality{MinorType, 0}},
{Major(-12), Quality{PerfectType, 0}},
{Augmented(1), Quality{AugmentedType, 1}},
{DoublyAugmented(1), Quality{AugmentedType, 2}},
{DoublyDiminished(1), Quality{DiminishedType, 2}},
}
for i, t := range data {
actual := t.input.Quality()
if !actual.Eq(t.expected) {
test.Errorf("index=%d actual=%s expected=%s", i, actual, t.expected)
}
}
}
func TestTranspose(test *testing.T) {
data := []struct {
initial, interval, expected Interval
times int
}{
{Interval{0, 0, 0}, Semitones(1), Interval{0, 1, 1}, 1},
{Interval{0, 0, 0}, Semitones(12), Interval{1, 0, 0}, 1},
{Interval{0, 0, 0}, Semitones(-12), Interval{-1, 0, 0}, 1},
{Interval{0, 0, 0}, Semitones(-16), Interval{-1, -2, -4}, 1},
// Sequential transpositions M2
{Interval{0, 0, 0}, Major(2), Interval{0, 1, 2}, 1},
{Interval{0, 0, 0}, Major(2), Interval{0, 2, 4}, 2},
{Interval{0, 0, 0}, Major(2), Interval{0, 3, 6}, 3},
{Interval{0, 0, 0}, Major(2), Interval{0, 4, 8}, 4},
// Sequential transpositions of m2
{Interval{0, 0, 0}, Minor(2), Interval{0, 1, 1}, 1},
{Interval{0, 0, 0}, Minor(2), Interval{0, 1, 2}, 2},
{Interval{0, 0, 0}, Minor(2), Interval{0, 2, 3}, 3},
{Interval{0, 0, 0}, Minor(2), Interval{0, 2, 4}, 4},
{Interval{0, 0, 0}, Minor(2), Interval{0, 3, 5}, 5},
{Interval{0, 0, 0}, Minor(2), Interval{0, 4, 6}, 6},
{Interval{0, 0, 0}, Minor(2), Interval{0, 4, 7}, 7},
{Interval{0, 0, 0}, Minor(2), Interval{0, 5, 8}, 8},
{Interval{0, 0, 0}, Minor(2), Interval{0, 5, 9}, 9},
{Interval{0, 0, 0}, Minor(2), Interval{0, 6, 10}, 10},
{Interval{0, 0, 0}, Minor(2), Interval{0, 6, 11}, 11},
{Interval{0, 0, 0}, Minor(2), Interval{1, 0, 0}, 12},
// Sequential transpositions of M3
{Interval{0, 0, 0}, Minor(3), Interval{0, 2, 3}, 1},
{Interval{0, 0, 0}, Minor(3), Interval{0, 4, 6}, 2},
{Interval{0, 0, 0}, Minor(3), Interval{0, 6, 9}, 3},
{Interval{0, 0, 0}, Minor(3), Interval{1, 1, 0}, 4},
{Interval{0, 0, 0}, Major(3), Interval{0, 2, 4}, 1},
{Interval{0, 0, 0}, Augmented(1), Interval{0, 0, 1}, 1},
{Interval{0, 1, 2}, Augmented(4), Interval{0, 4, 8}, 1},
{Interval{0, 6, 11}, Minor(3), Interval{1, 1, 2}, 1},
{Interval{0, 6, 11}, Diminished(5).Negate(), Interval{0, 2, 5}, 1},
{Interval{0, 6, 11}, Diminished(-5), Interval{0, 2, 5}, 1},
{Interval{0, 6, 11}, Major(-12), Interval{-1, 2, 4}, 1},
{Interval{-1, 2, 4}, Major(-12).Negate(), Interval{0, 6, 11}, 1},
{Interval{-1, 2, 4}, Perfect(12), Interval{0, 6, 11}, 1},
}
for i, t := range data {
actual := t.initial
for j := 0; j < t.times; j++ {
actual = actual.Transpose(t.interval)
}
if actual.Octaves != t.expected.Octaves ||
actual.Diatonic != t.expected.Diatonic ||
actual.Chromatic != t.expected.Chromatic {
test.Errorf("index=%d actual=%s expected=%s", i, actual, t.expected)
}
}
}
func TestQualityInversion(test *testing.T) {
data := []struct {
input, expected Quality
}{
{Quality{PerfectType, 0}, Quality{PerfectType, 0}},
{Quality{MajorType, 0}, Quality{MinorType, 0}},
{Quality{MinorType, 0}, Quality{MajorType, 0}},
{Quality{DiminishedType, 1}, Quality{AugmentedType, 1}},
{Quality{AugmentedType, 1}, Quality{DiminishedType, 1}},
}
for i, t := range data {
actual := t.input.Invert()
if !actual.Eq(t.expected) {
test.Errorf("index=%d actual=%s expected=%s", i, actual, t.expected)
}
}
}
func TestIntervalRatio(test *testing.T) {
data := []struct {
input Interval
expected float64
}{
{Perfect(-5), math.Exp2(-7.0 / 12.0)},
{Perfect(5), math.Exp2(7.0 / 12.0)},
{Perfect(4), math.Exp2(5.0 / 12.0)},
{Major(3), math.Exp2(4.0 / 12.0)},
{Minor(3), math.Exp2(3.0 / 12.0)},
{Augmented(-4), math.Exp2(-6.0 / 12.0)},
{Diminished(5), math.Exp2(6.0 / 12.0)},
}
for i, t := range data {
actual := t.input.Ratio()
if actual != t.expected {
test.Errorf("index=%d actual=%v expected=%v", i, actual, t.expected)
}
}
}
func TestIntervalNames(test *testing.T) {
data := []struct {
input Interval
expected string
}{
{Perfect(1), "perfect 1"},
{Minor(2), "minor 2"},
{Minor(3), "minor 3"},
{Major(3), "major 3"},
{Perfect(4), "perfect 4"},
{Diminished(4), "diminished 4"},
{Perfect(5), "perfect 5"},
{Diminished(6), "diminished 6"},
{DoublyDiminished(6), "doubly diminished 6"},
{Augmented(6), "augmented 6"},
{DoublyAugmented(6), "doubly augmented 6"},
{Minor(7), "minor 7"},
{Major(7), "major 7"},
{Perfect(8), "perfect 8"},
{Octave(1), "perfect 8"},
{Minor(9), "minor 9"},
{Minor(-2), "minor -2"},
{Minor(-3), "minor -3"},
{Major(-3), "major -3"},
{Perfect(-4), "perfect -4"},
{Diminished(-4), "diminished -4"},
{Perfect(-5), "perfect -5"},
{Diminished(-6), "diminished -6"},
{DoublyDiminished(-6), "doubly diminished -6"},
{Augmented(-6), "augmented -6"},
{DoublyAugmented(-6), "doubly augmented -6"},
{Minor(-7), "minor -7"},
{Major(-7), "major -7"},
{Perfect(-8), "perfect -8"},
{Octave(-1), "perfect -8"},
}
for i, t := range data {
actual := t.input.String()
if actual != t.expected {
test.Errorf("index=%d actual=%v expected=%v", i, actual, t.expected)
}
}
}