Data commit

Task/Approximate-equality/Sidef/approximate-equality-1.sidef

@@ -0,0 +1,16 @@
+[
+    100000000000000.01, 100000000000000.011,
+    100.01, 100.011,
+    10000000000000.001 / 10000.0, 1000000000.0000001000,
+    0.001, 0.0010000001,
+    0.000000000000000000000101, 0.0,
+    sqrt(2) * sqrt(2), 2.0,
+    -sqrt(2) * sqrt(2), -2.0,
+    sqrt(-2) * sqrt(-2), -2.0,
+    cbrt(3)**3, 3,
+    cbrt(-3)**3, -3,
+    100000000000000003.0, 100000000000000004.0,
+    3.14159265358979323846, 3.14159265358979324
+].each_slice(2, {|a,b|
+    say ("#{a} ≅ #{b}: ", a ≅ b)
+})

Task/Approximate-equality/Sidef/approximate-equality-2.sidef

@@ -0,0 +1,6 @@
+var a = 100000000000000.01
+var b = 100000000000000.011
+
+# Rounding at 2 and 3 decimal places, respectively
+say (round(a, -2) == round(b, -2))      # true
+say (round(a, -3) == round(b, -3))      # false

Task/Approximate-equality/Sidef/approximate-equality-3.sidef

@@ -0,0 +1,5 @@
+var a = 22/7
+var b = Num.pi
+
+say ("22/7 ≅ π at 2 decimals: ", approx_cmp(a, b, -2) == 0)
+say ("22/7 ≅ π at 3 decimals: ", approx_cmp(a, b, -3) == 0)

Task/Approximate-equality/Sidef/approximate-equality-4.sidef

@@ -0,0 +1,2 @@
+say (1.33333333.rat_approx == 4/3)   # true
+say (zeta(-5).rat_approx == -1/252)  # true

Task/Approximate-equality/Sidef/approximate-equality-5.sidef

@@ -0,0 +1,4 @@
+for k in (3..19) {
+    var r = Str(Num.pi).first(k)
+    say ("rat_approx(#{r}) = ", Num(r).rat_approx.as_frac)
+}