181 lines
4.7 KiB
V
181 lines
4.7 KiB
V
// Copyright (c) 2019-2021 Alexander Medvednikov. All rights reserved.
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// Use of this source code is governed by an MIT license
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// that can be found in the LICENSE file.
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import math.fractions
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import math
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fn test_half() {
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float_val := 0.5
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(1, 2))
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}
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fn test_third() {
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float_val := 1.0 / 3.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(1, 3))
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}
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fn test_minus_one_twelfth() {
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float_val := -1.0 / 12.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(-1, 12))
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}
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fn test_zero() {
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float_val := 0.0
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println('Pre')
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fract_val := fractions.approximate(float_val)
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println('Post')
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assert fract_val.equals(fractions.fraction(0, 1))
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}
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fn test_minus_one() {
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float_val := -1.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(-1, 1))
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}
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fn test_thirty_three() {
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float_val := 33.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(33, 1))
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}
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fn test_millionth() {
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float_val := 1.0 / 1000000.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(1, 1000000))
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}
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fn test_minus_27_by_57() {
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float_val := -27.0 / 57.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(-27, 57))
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}
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fn test_29_by_104() {
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float_val := 29.0 / 104.0
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fract_val := fractions.approximate(float_val)
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assert fract_val.equals(fractions.fraction(29, 104))
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}
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fn test_140710_232() {
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float_val := 140710.232
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fract_val := fractions.approximate(float_val)
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// Approximation will match perfectly for upto 3 places after the decimal
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// The result will be within default_eps of original value
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assert fract_val.f64() == float_val
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}
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fn test_pi_1_digit() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-2).equals(fractions.fraction(22, 7))
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}
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fn test_pi_2_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-3).equals(fractions.fraction(22, 7))
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}
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fn test_pi_3_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-4).equals(fractions.fraction(333, 106))
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}
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fn test_pi_4_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-5).equals(fractions.fraction(355, 113))
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}
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fn test_pi_5_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-6).equals(fractions.fraction(355, 113))
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}
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fn test_pi_6_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-7).equals(fractions.fraction(355, 113))
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}
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fn test_pi_7_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-8).equals(fractions.fraction(103993,
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33102))
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}
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fn test_pi_8_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-9).equals(fractions.fraction(103993,
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33102))
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}
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fn test_pi_9_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-10).equals(fractions.fraction(104348,
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33215))
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}
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fn test_pi_10_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-11).equals(fractions.fraction(312689,
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99532))
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}
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fn test_pi_11_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-12).equals(fractions.fraction(1146408,
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364913))
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}
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fn test_pi_12_digits() {
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assert fractions.approximate_with_eps(math.pi, 5.0e-13).equals(fractions.fraction(4272943,
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1360120))
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}
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fn test_phi_1_digit() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-2).equals(fractions.fraction(5, 3))
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}
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fn test_phi_2_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-3).equals(fractions.fraction(21, 13))
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}
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fn test_phi_3_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-4).equals(fractions.fraction(55, 34))
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}
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fn test_phi_4_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-5).equals(fractions.fraction(233,
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144))
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}
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fn test_phi_5_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-6).equals(fractions.fraction(610,
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377))
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}
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fn test_phi_6_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-7).equals(fractions.fraction(1597,
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987))
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}
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fn test_phi_7_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-8).equals(fractions.fraction(6765,
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4181))
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}
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fn test_phi_8_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-9).equals(fractions.fraction(17711,
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10946))
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}
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fn test_phi_9_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-10).equals(fractions.fraction(75025,
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46368))
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}
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fn test_phi_10_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-11).equals(fractions.fraction(196418,
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121393))
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}
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fn test_phi_11_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-12).equals(fractions.fraction(514229,
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317811))
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}
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fn test_phi_12_digits() {
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assert fractions.approximate_with_eps(math.phi, 5.0e-13).equals(fractions.fraction(2178309,
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1346269))
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}
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