開発環境
- macOS Sierra - Apple (OS)
- Emacs (Text Editor)
- JavaScript (プログラミング言語)
- Node.js, Safari(JavaScript エンジン)
- Learning JavaScript [邦訳](参考書籍)
行列プログラマー(Philip N. Klein (著)、 松田 晃一 (翻訳)、 弓林 司 (翻訳)、 脇本 佑紀 (翻訳)、 中田 洋 (翻訳)、 齋藤 大吾 (翻訳)、オライリージャパン)の2章(ベクトル)、2.14(問題)、Vec クラス用のプロシージャを書く、問題 2.14.10 を JavaScript で取り組んでみる。
問題 2.14.10
コード(Emacs)
HTML5
<pre id="output0"></pre> <button id="run0">run</button> <button id="clear0">clear</button> <script src="sample14_10.js"></script>
JavaScript
let div0 = document.querySelector('#graph0'),
pre0 = document.querySelector('#output0'),
btn0 = document.querySelector('#run0'),
btn1 = document.querySelector('#clear0'),
p = (x) => pre0.textContent += x + '\n';
let Vector = (labels, func={}) => {
let that = {},
d = labels,
f = func,
setItem = (d, val) => {
f[d] = val;
},
getItem = (d) => {
return f[d] === undefined ? 0 : f[d];
},
scalarMul = (a) => {
let func = {};
d.forEach((k) => {
func[k] = that.getItem(k) * a;
});
return Vector(d, func);
},
add = (v) => {
let func = {},
d0 = d.concat(v.d().filter((x) => d.indexOf(x) === -1));
d0.forEach((d) => {
func[d] = that.getItem(d) + v.getItem(d);
});
return Vector(d0, func);
},
sub = (v) => that.add(v.scalarMul(-1)),
neg = () => that.scalarMul(-1),
dot = (v) => {
return d.map((x) => that.getItem(x) * v.getItem(x))
.reduce((x, y) => x + y);
},
isEqual = (v) => {
return d.every((x) => that.getItem(x) === v.getItem(x));
},
toString = () => {
return '{' +
d.map((k) => `${k}: ${that.getItem(k)}`).join(', ') +
'}';
};
that.d = () => d;
that.f = () => f;
that.getItem = getItem;
that.setItem = setItem;
that.scalarMul = scalarMul;
that.add = add;
that.sub = sub;
that.neg = neg;
that.dot = dot;
that.isEqual = isEqual;
that.toString = toString;
return that;
};
let arrayToVector = (a) => {
let l = [],
f = {};
a.forEach((x, i) => {
l.push(i);
f[i] = x;
});
return Vector(l, f);
};
let UnitTest = () => {
let that = {},
run = () => {
Object.keys(that).forEach((key) => {
that.setUp();
if (/^test/.test(key)) {
p(key);
that[key]();
}
that.tearDown();
});
},
assertEqual = (x, y) => {
if (x === y) {
p('ok');
} else {
p(`failure - ${x} !== ${y}`);
}
},
assertTrue = (x) => {
if (x) {
p('ok');
} else {
p(`failure`);
}
},
assertFalse = (x) => {
if (x) {
p('failure');
} else {
p(`ok`);
}
};
that.run = run;
that.assertEqual = assertEqual;
that.assertTrue = assertTrue;
that.assertFalse = assertFalse;
return that;
};
let Test = () => {
let that = UnitTest(),
v1,
v2,
a,
b,
c,
d,
e,
f,
u1,
u2,
v11,
v12,
w1,
w2,
v21,
v22,
zero,
u3,
u4;
that.setUp = () => {
v1 = Vector(['a', 'b', 'c', 'd'], {a:2, c:1, d:3});
v2 = Vector(['a', 'b', 'c'], {b:0});
a = Vector(['a','e','i','o','u'], {'a':0,'e':1,'i':2});
b = Vector(['a','e','i','o','u'], {'o':4,'u':7})
c = Vector(['a','e','i','o','u'], {'a':0,'e':1,'i':2,'o':4,'u':7});
d = Vector(['x','y','z'], {'x':2,'y':1});
e = Vector(['x','y','z'], {'z':4,'y':-1});
f = Vector(['x','y','z'], {'x':2,'y':0,'z':4});
u1 = Vector(['a','b'], {'a':1, 'b':2});
u2 = Vector(['a','b'], {'b':2, 'a':1});
v11 = Vector(['p','q','r','s'], {'p':2,'s':3,'q':-1,'r':0});
v12 = Vector(['p','q','r','s'], {'p':-2,'r':5});
w1 = Vector(['a','b','c'], {'a':2,'b':3,'c':4});
w2 = Vector(['a','b','c'], {'a':12,'b':8,'c':6});
v21 = Vector([1, 2], {1 : 3, 2 : 6});
v22 = Vector([1, 2], {1 : 2, 2 : 1});
zero = Vector(['x','y','z','w'], {});
u3 = Vector(['x','y','z','w'], {'x':1,'y':2,'z':3,'w':4});
u4 = Vector([1,3,5,7],{1:1,3:2,5:3,7:4});
};
that.tearDown = () => {};
that.test_getItem1 = () => {
that.assertEqual(v1.getItem('d'), 3);
};
that.test_getItem2 = () => {
that.assertEqual(v1.getItem('b'), 0);
};
that.test_setItem1 = () => {
v2.setItem('b', 5);
that.assertEqual(v2.getItem('b'), 5);
};
that.test_setItem2 = () => {
v2.setItem('b', 1);
that.assertEqual(v2.getItem('b'), 1);
};
that.test_setItem3 = () => {
v2.setItem('a', 0);
that.assertEqual(v2.getItem('a'), 0);
};
that.test_isEqual1 = () => {
that.assertTrue(
Vector(['a', 'b', 'c'], {a:0})
.isEqual(Vector(['a', 'b', 'c'], {b:0})));
};
that.test_isEqual2 = () => {
that.assertTrue(
Vector(['a', 'b', 'c'], {a:0})
.isEqual(Vector(['a', 'b', 'c'], {})));
};
that.test_isEqual3 = () => {
that.assertTrue(
Vector(['a', 'b', 'c'], {})
.isEqual(Vector(['a', 'b', 'c'], {a:0})));
};
that.test_isEqual4 = () => {
that.assertFalse(
Vector(['x', 'y', 'z'], {y:1, x:2})
.isEqual(Vector(['x', 'y', 'z'], {y:1, z:0})));
};
that.test_isEqual5 = () => {
that.assertFalse(
Vector(['a', 'b', 'c'], {a:0, c:1})
.isEqual(Vector(['a', 'b', 'c'], {a:0, c:1, b:4})));
};
that.test_isEqual6 = () => {
that.assertFalse(
Vector(['a', 'b', 'c'], {a:0, c:1, b:4})
.isEqual(Vector(['a', 'b', 'c'], {a:0, c:1})));
};
that.test_isEqual7 = () => {
that.assertFalse(
Vector(['a', 'b'], {a:1})
.isEqual(Vector(['a', 'b'], {b:1})));
};
that.test_isEqual8 = () => {
that.assertFalse(
Vector(['a', 'b'], {a:1})
.isEqual(Vector(['a', 'b'], {a:2})));
};
that.test_add1 = () => {
that.assertTrue(a.add(b).isEqual(c));
};
that.test_add2 = () => {
that.assertTrue(
a.isEqual(Vector(['a','e','i','o','u'], {'a':0,'e':1,'i':2})));
};
that.test_add3 = () => {
that.assertTrue(
b.isEqual(Vector(['a','e','i','o','u'], {'o':4,'u':7})));
};
that.test_add4 = () => {
that.assertTrue(d.add(e).isEqual(f));
};
that.test_add5 = () => {
that.assertTrue(d.isEqual(Vector(['x','y','z'], {'x':2,'y':1})));
};
that.test_add6 = () => {
that.assertTrue(e.isEqual(Vector(['x','y','z'], {'z':4,'y':-1})));
};
that.test_add7 = () => {
that.assertTrue(b.add(Vector(['a','e','i','o','u'], {})).isEqual(b));
};
that.test_dot1 = () => {
that.assertEqual(u1.dot(u2), 5);
};
that.test_dot2 = () => {
that.assertTrue(u1.isEqual(Vector(['a','b'], {'a':1, 'b':2})));
};
that.test_dot3 = () => {
that.assertTrue(u2.isEqual(Vector(['a','b'], {'b':2, 'a':1})));
};
that.test_dot4 = () => {
that.assertEqual(w1.dot(w2), 72);
};
that.test_dot5 = () => {
that.assertEqual(v21.dot(v22), 12);
};
that.test_scalarMul1 = () => {
that.assertTrue(u3.scalarMul(0).isEqual(zero));
};
that.test_scalarMul2 = () => {
that.assertTrue(u3.scalarMul(1).isEqual(u3));
};
that.test_scalarMul3 = () => {
that.assertTrue(u3.scalarMul(0.5).isEqual(
Vector(['x','y','z','w'],{'x':0.5,'y':1,'z':1.5,'w':2})));
};
that.test_scalarMul3 = () => {
that.assertTrue(u3.isEqual(
Vector(['x','y','z','w'],{'x':1,'y':2,'z':3,'w':4})));
};
that.test_neg1 = () => {
that.assertTrue(u4.neg().isEqual(
Vector([1, 3, 5, 7],{1: -1, 3: -2, 5: -3, 7: -4})));
};
that.test_neg2 = () => {
that.assertTrue(u4.isEqual(Vector([1,3,5,7],{1:1,3:2,5:3,7:4})));
};
that.test_neg3 = () => {
that.assertTrue(Vector(['a','b','c'], {'a':1}).neg().isEqual(
Vector(['a','b','c'], {'a':-1})));
};
return that;
};
let output = () => {
Test().run();
};
btn0.onclick = output;
btn1.onclick = () => pre0.textContent = '';
output();
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