Tue Oct 19 11:54:56 2021 i4lib_test(): Python version: 3.6.9 Test i4lib(). gamma_log_values: Python version: 3.6.9 gamma_log_values stores values of the logarithm of the Gamma function. X gamma_log(X) 0.200000 1.5240638224307841 0.400000 0.7966778177017837 0.600000 0.3982338580692348 0.800000 0.1520596783998375 1.000000 0.0000000000000000 1.100000 -0.0498724412598397 1.200000 -0.0853740900033158 1.300000 -0.1081748095078604 1.400000 -0.1196129141723712 1.500000 -0.1207822376352452 1.600000 -0.1125917656967557 1.700000 -0.0958076974070659 1.800000 -0.0710838729143722 1.900000 -0.0389842759230833 2.000000 0.0000000000000000 3.000000 0.6931471805599453 4.000000 1.7917594692280550 10.000000 12.8018274800814691 20.000000 39.3398841871994946 30.000000 71.2570389671680147 gamma_log_values_test: Normal end of execution. i4_abs_test i4_abs computes the absolute value of an I4. A B=i4_abs(A) -38 38 -75 75 27 27 -30 30 -71 71 -27 27 68 68 -24 24 70 70 -22 22 i4_abs_test: Normal end of execution. i4_and_test i4_and returns the AND of two I4's. I J i4_and I&J 80 73 64 64 17 66 0 0 15 55 7 7 58 57 56 56 51 97 33 33 80 86 80 80 97 57 33 33 72 83 64 64 34 12 0 0 17 51 17 17 i4_and_test Normal end of execution. i4_bclr_test Python version: 3.6.9 i4_bclr sets a given bit to 0. Working on I4 = 101 Pos i4_bclr(I4,Pos) 0 100 1 101 2 97 3 101 4 101 5 69 6 37 7 101 8 101 9 101 10 101 11 101 12 101 13 101 14 101 15 101 16 101 17 101 18 101 19 101 20 101 21 101 22 101 23 101 24 101 25 101 26 101 27 101 28 101 29 101 30 101 31 101 Working on I4 = -31 Pos i4_bclr(I4,Pos) 0 -32 1 -31 2 -31 3 -31 4 -31 5 -63 6 -95 7 -159 8 -287 9 -543 10 -1055 11 -2079 12 -4127 13 -8223 14 -16415 15 -32799 16 -65567 17 -131103 18 -262175 19 -524319 20 -1048607 21 -2097183 22 -4194335 23 -8388639 24 -16777247 25 -33554463 26 -67108895 27 -134217759 28 -268435487 29 -536870943 30 -1073741855 31 2147483617 i4_bclr_test Normal end of execution. i4_bit_hi1_test Python version: 3.6.9 i4_bit_hi1 returns the location of the high 1 bit. I i4_bit_hi1(I) 25 5 91 7 81 7 69 7 14 4 39 6 49 6 40 6 37 6 51 6 i4_bit_hi1_test Normal end of execution. i4_bit_lo0_test Python version: 3.6.9 i4_bit_lo0 returns the location of the low 0 bit. I i4_bit_lo0(I) 50 1 26 1 7 4 65 2 66 1 14 1 0 1 45 2 28 1 21 2 i4_bit_lo0_test Normal end of execution. i4_bit_lo1_test Python version: 3.6.9 i4_bit_lo1 returns the location of the low 1 bit. I i4_bit_lo1(I) 24 4 68 3 50 2 15 1 73 1 66 2 2 2 90 2 12 3 56 4 i4_bit_lo1_test Normal end of execution. i4_bit_reverse_test Python version: 3.6.9 i4_bit_reverse bit reverses I with respect to 2^J. I J i4_bit_reverse(I,J) 0 0 0 0 1 0 1 1 1 0 2 0 1 2 2 2 2 1 3 2 3 0 3 0 1 3 4 2 3 2 3 3 6 4 3 1 5 3 5 6 3 3 7 3 7 0 4 0 1 4 8 2 4 4 3 4 12 4 4 2 5 4 10 6 4 6 7 4 14 8 4 1 9 4 9 10 4 5 11 4 13 12 4 3 13 4 11 14 4 7 15 4 15 i4_bit_reverse_test Normal end of execution. i4_bset_test Python version: 3.6.9 i4_bset sets a given bit to 1. Working on I4 = 101 Pos i4_bset(I4,Pos) 0 101 1 103 2 101 3 109 4 117 5 101 6 101 7 229 8 357 9 613 10 1125 11 2149 12 4197 13 8293 14 16485 15 32869 16 65637 17 131173 18 262245 19 524389 20 1048677 21 2097253 22 4194405 23 8388709 24 16777317 25 33554533 26 67108965 27 134217829 28 268435557 29 536871013 30 1073741925 31 -2147483547 Working on I4 = -31 Pos i4_bset(I4,Pos) 0 -31 1 -29 2 -27 3 -23 4 -15 5 -31 6 -31 7 -31 8 -31 9 -31 10 -31 11 -31 12 -31 13 -31 14 -31 15 -31 16 -31 17 -31 18 -31 19 -31 20 -31 21 -31 22 -31 23 -31 24 -31 25 -31 26 -31 27 -31 28 -31 29 -31 30 -31 31 -31 i4_bset_test Normal end of execution. i4_btest_test Python version: 3.6.9 i4_btest reports whether a given bit is 0 or 1. Analyze the integer I4 = 101 Pos i4_btest(I4,POS) 0 True 1 False 2 True 3 False 4 False 5 True 6 True 7 False 8 False 9 False 10 False 11 False 12 False 13 False 14 False 15 False 16 False 17 False 18 False 19 False 20 False 21 False 22 False 23 False 24 False 25 False 26 False 27 False 28 False 29 False 30 False 31 False Analyze the integer I4 = -31 Pos i4_btest(I4,POS) 0 True 1 False 2 False 3 False 4 False 5 True 6 True 7 True 8 True 9 True 10 True 11 True 12 True 13 True 14 True 15 True 16 True 17 True 18 True 19 True 20 True 21 True 22 True 23 True 24 True 25 True 26 True 27 True 28 True 29 True 30 True 31 True i4_btest_test Normal end of execution. i4_ceiling_test Python version: 3.6.9 i4_ceiling evaluates the "ceiling" of a real number. R8 i4_ceiling(R8) -31.7286 -31 75.2747 76 61.4128 62 6.8380 7 -54.2748 -54 75.6677 76 -28.4052 -28 -34.6748 -34 -45.5511 -45 36.2517 37 i4_ceiling_test Normal end of execution. i4_characteristic_test Python version: 3.6.9 i4_characteristic computes the characteristic of an integer Q, which is Q if Q is prime; P, if Q = P^N for some prime P; 0, if Q is negative, 0, 1, or the product of more than 1 distinct prime. I i4_characteristic 1 0 2 2 3 3 4 2 5 5 6 0 7 7 8 2 9 3 10 0 11 11 12 0 13 13 14 0 15 0 16 2 17 17 18 0 19 19 20 0 21 0 22 0 23 23 24 0 25 5 26 0 27 3 28 0 29 29 30 0 31 31 32 2 33 0 34 0 35 0 36 0 37 37 38 0 39 0 40 0 41 41 42 0 43 43 44 0 45 0 46 0 47 47 48 0 49 7 50 0 i4_characteristic_test Normal end of execution. i4_choose_test Python version: 3.6.9 i4_choose evaluates C(N,K). N K CNK 0 0 1 1 0 1 1 1 1 2 0 1 2 1 2 2 2 1 3 0 1 3 1 3 3 2 3 3 3 1 4 0 1 4 1 4 4 2 6 4 3 4 4 4 1 i4_choose_test: Normal end of execution. i4_choose_check_test Python version: 3.6.9 i4_choose_check checks whether C(N,K) can be computed with integer arithmetic or not. N K CHECK? i4_choose 10 3 1 120 1000 999 1 1000 100 3 1 161700 100 10 0 Not computable i4_choose_check_test: Normal end of execution. i4_choose_log_test Python version: 3.6.9 i4_choose_log evaluates log(C(N,K)). N K lcnk elcnk CNK 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 2 0 0 1 1 2 1 0.693147 2 2 2 2 0 1 1 3 0 0 1 1 3 1 1.09861 3 3 3 2 1.09861 3 3 3 3 0 1 1 4 0 0 1 1 4 1 1.38629 4 4 4 2 1.79176 6 6 4 3 1.38629 4 4 4 4 0 1 1 i4_choose_log_test Normal end of execution. i4_div_rounded_test Python version: 3.6.9 i4_div_rounded performs rounded integer division. C0 = real ( a ) / real ( b ) C1 = i4_div_rounded ( A, B ) C2 = nint ( real ( a ) / real ( b ) ) C3 = int ( A / B ) C4 = floor ( real ( a ) / real ( b ) ) C5 = a // b C1 and C2 should be equal; C3 and C4 should be equal. A B C0 C1 C2 C3 C4 C5 -71 -4 17.750000 18 18 17 17 17 -29 -3 9.666667 10 10 9 9 9 67 -3 -22.333333 -22 -22 -22 -23 -23 48 -9 -5.333333 -5 -5 -5 -6 -6 -15 3 -5.000000 -5 -5 -5 -5 -5 34 4 8.500000 8 8 8 8 8 47 10 4.700000 5 5 4 4 4 -53 -10 5.300000 5 5 5 5 5 -37 2 -18.500000 -18 -18 -18 -19 -19 -4 8 -0.500000 0 0 0 -1 -1 59 8 7.375000 7 7 7 7 7 -40 -5 8.000000 8 8 8 8 8 32 10 3.200000 3 3 3 3 3 8 7 1.142857 1 1 1 1 1 -85 6 -14.166667 -14 -14 -14 -15 -15 -31 -6 5.166667 5 5 5 5 5 -67 4 -16.750000 -17 -17 -16 -17 -17 49 -8 -6.125000 -6 -6 -6 -7 -7 99 7 14.142857 14 14 14 14 14 i4_div_rounded_test Normal end of execution. i4_division_test Python version: 3.6.9 i4_division performs integer division. C0 = real ( a ) / real ( b ) C1 = i4_division ( A, B ) C2 = nint ( real ( a ) / real ( b ) ) C3 = int ( A / B ) C4 = floor ( real ( a ) / real ( b ) ) C5 = a // b C1 and C3 and C4 and C5 should be equal. (They are not, for some negative cases!) C2 may differ; A B C0 C1 C2 C3 C4 C5 -5 7 -0.714286 0 -1 0 -1 -1 41 7 5.857143 5 6 5 5 5 -40 -3 13.333333 13 13 13 13 13 34 8 4.250000 4 4 4 4 4 22 -5 -4.400000 -4 -4 -4 -5 -5 25 4 6.250000 6 6 6 6 6 -60 -4 15.000000 15 15 15 15 15 -52 9 -5.777778 -5 -6 -5 -6 -6 -3 3 -1.000000 -1 -1 -1 -1 -1 -17 -6 2.833333 2 3 2 2 2 79 3 26.333333 26 26 26 26 26 74 7 10.571429 10 11 10 10 10 -86 -5 17.200000 17 17 17 17 17 41 7 5.857143 5 6 5 5 5 -15 10 -1.500000 -1 -2 -1 -2 -2 74 3 24.666667 24 25 24 24 24 -71 10 -7.100000 -7 -7 -7 -8 -8 -51 -8 6.375000 6 6 6 6 6 98 -2 -49.000000 -49 -49 -49 -49 -49 i4_division_test Normal end of execution. i4_divp_test Python version: 3.6.9 i4_divp(A,B) returns the smallest multiplier of J that is less than I A B C D -22 3 -7 -21 -74 -6 13 -78 -57 -3 20 -60 74 -4 -18 72 36 -3 -11 33 28 10 3 30 28 3 10 30 -91 7 -13 -91 3 7 1 7 37 10 4 40 75 6 13 78 -45 10 -4 -40 -96 -6 17 -102 14 10 2 20 -57 -7 9 -63 -52 1 -52 -52 10 9 2 18 -34 -4 9 -36 -61 -6 11 -66 6 -5 0 0 i4_divp_test Normal end of execution. i4_factorial_test Python version: 3.6.9 i4_factorial evaluates the factorial function. N Exact i4_factorial(N) 0 1 1 1 1 1 2 2 2 3 6 6 4 24 24 5 120 120 6 720 720 7 5040 5040 8 40320 40320 9 362880 362880 10 3628800 3628800 11 39916800 39916800 12 479001600 479001600 i4_factorial_test Normal end of execution. i4_factorial_log_test Python version: 3.6.9 i4_factorial_log evaluates the log(N!). N lfact elfact fact 0 0 1 1 1 0 1 1 2 0.693147 2 2 3 1.79176 6 6 4 3.17805 24 24 5 4.78749 120 120 6 6.57925 720 720 7 8.52516 5040 5040 8 10.6046 40320 40320 9 12.8018 362880 362880 10 15.1044 3.6288e+06 3628800 11 17.5023 3.99168e+07 39916800 12 19.9872 4.79002e+08 479001600 i4_factorial_log_test: Normal end of execution. i4_factorial2_test Python version: 3.6.9 i4_factorial2 evaluates the double factorial function. N Exact i4_factorial2(N) 0 1 1 1 1 1 2 2 2 3 3 3 4 8 8 5 15 15 6 48 48 7 105 105 8 384 384 9 945 945 10 3840 3840 11 10395 10395 12 46080 46080 13 135135 135135 14 645120 645120 15 2027025 2027025 i4_factorial2_test Normal end of execution. i4_fall_test Python version: 3.6.9 i4_fall evaluates the falling factorial Fall(I,N). M N Exact i4_fall(M,N) 5 0 1 1 5 1 5 5 5 2 20 20 5 3 60 60 5 4 120 120 5 5 120 120 5 6 0 0 50 0 1 1 10 1 10 10 4000 1 4000 4000 10 2 90 90 18 3 4896 4896 4 4 24 24 98 3 912576 912576 1 7 0 0 i4_fall_test: Normal end of execution. i4_floor_test Python version: 3.6.9 i4_floor evaluates the "floor" of a real number. R8 i4_floor(R8) 31.2152 31 -81.6124 -82 -71.3863 -72 -35.2781 -36 -84.9560 -85 -48.1879 -49 -69.4982 -70 69.9810 69 47.8486 47 33.8056 33 i4_floor_test Normal end of execution. i4_gcd_test Python version: 3.6.9 i4_gcd computes the greatest common factor I J i4_gcd 36 30 6 49 -7 7 0 71 71 12 12 12 36 49 1 1 42 1 91 28 7 i4_gcd_test Normal end of execution i4_gcdb_test Python version: 3.6.9 i4_gcdb computes the greatest common factor of the form K^N. I J K i4_gcdb 288 2880 2 32 288 2880 3 9 288 2880 4 16 288 2880 5 1 i4_gcdb_test Normal end of execution i4_huge_test Python version: 3.6.9 i4_huge returns a huge integer. i4_huge() = 2147483647 i4_huge_test Normal end of execution. i4_huge_normalizer_test Python version: 3.6.9 i4_huge_normalizer returns 1/(i4_huge+1). i4_huge() = 2147483647 i4_huge_normalizer() = 4.65661e-10 i4_huge * i4_huge_normalizer = 1 i4_huge_normalizer_test Normal end of execution. i4_is_even_test Python version: 3.6.9 i4_is_even reports whether an I4 is even. I i4_is_even(I) -2 True -1 False 0 True 1 False 2 True 3 False 4 True 5 False 6 True 7 False 8 True 9 False 10 True 11 False 12 True 13 False 14 True 15 False 16 True 17 False 18 True 19 False 20 True 21 False 22 True 23 False 24 True 25 False i4_is_even_test Normal end of execution. i4_is_integer_test Python version: 3.6.9 i4_is_integer(arg) is True if arg has an integer value. arg i4_is_integer(arg) 3.141592653589793 False (1+2j) False (3+0j) True 2.220446049250313e-16 False 3.0 True 0 True -17 True inf False nan False i4_is_integer_test Normal end of execution. i4_is_odd_test Python version: 3.6.9 i4_is_odd reports whether an I4 is odd. I i4_is_odd(I) -2 False -1 True 0 False 1 True 2 False 3 True 4 False 5 True 6 False 7 True 8 False 9 True 10 False 11 True 12 False 13 True 14 False 15 True 16 False 17 True 18 False 19 True 20 False 21 True 22 False 23 True 24 False 25 True i4_is_odd_test Normal end of execution. i4_is_power_of_2_test Python version: 3.6.9 i4_is_power_of_2 reports whether an I4 is a power of 2. I i4_is_power_of_2(I) -4 False -3 False -2 False -1 False 0 False 1 True 2 True 3 False 4 True 5 False 6 False 7 False 8 True 9 False 10 False 11 False 12 False 13 False 14 False 15 False 16 True 17 False 18 False 19 False 20 False 21 False 22 False 23 False 24 False 25 False i4_is_power_of_2_test: Normal end of execution. i4_is_power_of_10_test Python version: 3.6.9 i4_is_power_of_10 reports whether an I4 is a power of 10. I i4_is_power_of_10(I) 97 False 98 False 99 False 100 True 101 False 102 False 103 False i4_is_power_of_10_test: Normal end of execution. i4_is_prime_test Python version: 3.6.9 i4_is_prime reports whether an I4 is prime. I i4_is_prime(I) -2 False -1 False 0 False 1 False 2 True 3 True 4 False 5 True 6 False 7 True 8 False 9 False 10 False 11 True 12 False 13 True 14 False 15 False 16 False 17 True 18 False 19 True 20 False 21 False 22 False 23 True 24 False 25 False i4_is_prime_test Normal end of execution. i4_lcm_test Python version: 3.6.9 i4_lcm computes the least common multiple. I J i4_lcm 36 30 180 49 -7 49 0 71 0 12 12 12 36 49 1764 1 42 42 91 28 364 i4_lcm_test Normal end of execution. i4_lcm_12n_test i4_lcm_12n computes the least common multiple of integer 1 through N N i4_lcm_12n 1 1 2 2 3 6 4 12 5 60 6 60 7 420 8 420 9 1260 10 1260 i4_log_10_test Python version: 3.6.9 i4_log_10: whole part of log base 10, X, i4_log_10 0 0 1 0 2 0 3 0 9 0 10 1 11 1 99 1 101 2 -1 0 -2 0 -3 0 -9 0 i4_log_10_test Normal end of execution. i4_log_2_test Python version: 3.6.9 i4_log_2: whole part of log base 2. X i4_log_2 0 0 1 0 2 1 3 1 9 3 10 3 11 3 99 6 101 6 -1 0 -2 1 -3 1 -9 3 1000 9 1023 9 1024 10 1025 10 i4_log_2_test Normal end of execution. i4_log_i4_test Python version: 3.6.9 i4_log_i4: logarithm of I4 base J4, I4 J4 i4_log_i4 0 2 0 1 2 0 2 2 1 3 2 1 4 2 2 5 2 2 6 2 2 7 2 2 8 2 3 9 2 3 10 2 3 0 3 0 1 3 0 2 3 0 3 3 1 4 3 1 5 3 1 6 3 1 7 3 1 8 3 1 9 3 2 10 3 2 0 4 0 1 4 0 2 4 0 3 4 0 4 4 1 5 4 1 6 4 1 7 4 1 8 4 1 9 4 1 10 4 1 0 5 0 1 5 0 2 5 0 3 5 0 4 5 0 5 5 1 6 5 1 7 5 1 8 5 1 9 5 1 10 5 1 i4_log_i4_test Normal end of execution. i4_log_r8_test Python version: 3.6.9 i4_log_r8: whole part of log base B, X B i4_log_r8 16 2.000000 3 16 3.000000 2 16 4.000000 1 16 5.000000 1 16 6.000000 1 16 7.000000 1 16 8.000000 1 16 16.000000 0 16 32.000000 0 16 256.000000 0 i4_log_r8_test Normal end of execution. i4_mant_test Python version: 3.6.9 i4_mant decomposes an integer. Number to be decomposed is X = -314.159000 X = -1 * ( 2763371787763843 / 2251799813685248 ) * 2 ^ (8) i4_mant_test Normal end of execution. i4_max_test Python version: 3.6.9 i4_max computes the maximum of two I4's. A B C=i4_max(A,B) -47 0 0 -55 9 9 -58 -31 -31 33 43 43 -91 -54 -54 -21 55 55 23 -15 23 100 -85 100 -5 -67 -5 -27 -15 -15 i4_max_test: Normal end of execution. i4_min_test Python version: 3.6.9 i4_min computes the minimum of two I4's. A B C=i4_min(A,B) -42 -80 -80 -27 20 -27 -3 -1 -3 -59 18 -59 43 92 43 57 -86 -86 -36 -7 -36 58 3 3 -80 -18 -80 -56 -56 -56 i4_min_test: Normal end of execution. i4_moddiv_test Python version: 3.6.9 i4_moddiv factors a number into a multiple M and a remainder R. Number Divisor Multiple Remainder 107 50 2 7 107 -50 -3 -43 -107 50 -3 43 -107 -50 2 -7 Repeat using Python % Operator: 107 50 2 7 107 -50 -3 -43 -107 50 -3 43 -107 -50 2 -7 i4_moddiv_test Normal end of execution. i4_modp_test Python version: 3.6.9 i4_modp factors a number into a multiple M and a positive remainder R. Number Divisor Multiple Remainder 107 50 2 7 107 -50 -2 7 -107 50 -3 43 -107 -50 3 43 Repeat using Python % Operator: 107 50 2 7 107 -50 -3 -43 -107 50 -3 43 -107 -50 2 -7 i4_modp_test Normal end of execution. i4_mop_test Python version: 3.6.9 i4_mop computes a minus-one-power (-1)^I. I4 i4_mop(I4) 217770 1 992267 -1 895050 1 429019 -1 230183 -1 -881548 1 93792 1 -581488 1 599199 -1 254017 -1 i4_mop_test: Normal end of execution. i4_not_test Python version: 3.6.9 i4_not returns the NOT of an I4 with respect to a value J. I J i4_not ~I+J+1 6 255 249 249 2 255 253 253 71 255 184 184 46 255 209 209 52 255 203 203 61 255 194 194 60 255 195 195 33 255 222 222 87 255 168 168 79 255 176 176 i4_not_test Normal end of execution. i4_or_test Python version: 3.6.9 i4_or returns the bitwise inclusive OR of two I4's. I J i4_or I|J 11 15 15 15 94 43 127 127 28 67 95 95 15 59 63 63 5 49 53 53 86 25 95 95 12 63 63 63 76 93 93 93 34 19 51 51 63 47 63 63 i4_or_test Normal end of execution. i4_power_test Python version: 3.6.9 i4_power computes I^J I J i4_power(I,J) 0 1 0 1 2 1 2 3 8 3 3 27 10 3 1000 -1 4 1 -2 5 -32 i4_power_test Normal end of execution. i4_rise_test Python version: 3.6.9 i4_rise evaluates the rising factorial Fall(I,N). M N Exact i4_rise(M,N) 5 0 1 1 5 1 5 5 5 2 30 30 5 3 210 210 5 4 1680 1680 5 5 15120 15120 5 6 151200 151200 50 0 1 1 10 1 10 10 4000 1 4000 4000 10 2 110 110 18 3 6840 6840 4 4 840 840 98 3 970200 970200 1 7 5040 5040 i4_rise_test Normal end of execution. i4_sign_test Python version: 3.6.9 i4_sign returns the sign of an I4. I4 i4_sign(I4) -10 -1 -7 -1 0 1 5 1 9 1 i4_sign_test Normal end of execution. i4_sign3_test Python version: 3.6.9 i4_sign3 returns the three-way sign of an I4. I4 i4_sign3(I4) -10 -1 -7 -1 0 0 5 1 9 1 i4_sign3_test Normal end of execution. i4_swap_test Python version: 3.6.9 i4_swap swaps two I4's. Before swapping: I = 1 J = 202 After swapping: I = 202 J = 1 i4_swap_test Normal end of execution. i4_swap3_test Python version: 3.6.9 i4_swap3 swaps three I4's. Starting with (I,J,K), swap 3 times. 1 202 3003003 202 3003003 1 3003003 1 202 1 202 3003003 i4_swap3_test Normal end of execution. i4_to_angle_test Python version: 3.6.9 i4_to_angle converts an I4 to an angle in degrees. The angles sample the circle at finer levels. I4 ANGLE 0 0 1 120 2 240 3 60 4 180 5 300 6 30 7 90 8 150 9 210 10 270 11 330 12 15 13 45 14 75 15 105 i4_to_angle_test Normal end of execution. i4_to_halton_test Python version: 3.6.9 i4_to_halton computes a Halton sequence. The user specifies all data explicitly. In this test, we call i4_to_halton repeatedly. We use distinct primes as bases. I R(0) R(1) R(2) 0 0.0000 0.0000 0.0000 1 0.6667 0.3750 0.2083 2 0.3333 0.7500 0.4167 3 1.0000 0.1250 0.6250 4 0.1667 0.5000 0.8333 5 0.8333 0.8750 0.0417 6 0.5000 0.2500 0.2500 7 1.1667 0.6250 0.4583 8 0.0833 1.0000 0.6667 9 0.7500 0.0417 0.8750 10 0.4167 0.4167 0.0833 i4_to_halton_test Normal end of execution. i4_to_isbn_test Python version: 3.6.9 i4_to_isbn converts an I4 digit to an ISBN symbol. I4 S 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 X i4_to_isbn_test Normal end of execution. i4_to_l4_test Python version: 3.6.9 i4_to_l4 converts an I4 to an L4. I4 L4 -5 True -4 True -3 True -2 True -1 True 0 False 1 True 2 True 3 True 4 True 5 True i4_to_l4_test Normal end of execution. i4_to_pascal_test Python version: 3.6.9 i4_to_pascal converts a linear index to Pascal triangle indices. K => I J 1 0 0 2 1 0 3 0 1 4 2 0 5 1 1 6 0 2 7 3 0 8 2 1 9 1 2 10 0 3 11 4 0 12 3 1 13 2 2 14 1 3 15 0 4 16 5 0 17 4 1 18 3 2 19 2 3 20 1 4 i4_to_pascal_test: Normal end of execution. i4_to_pascal_degree_test Python version: 3.6.9 i4_to_pascal_degree converts a linear index to the degree of the corresponding Pascal triangle indices. K => D 1 0 2 1 3 1 4 2 5 2 6 2 7 3 8 3 9 3 10 3 11 4 12 4 13 4 14 4 15 4 16 5 17 5 18 5 19 5 20 5 i4_to_pascal_degree_test: Normal end of execution. i4_to_triangle_lower_test Python version: 3.6.9 i4_to_triangle_lower converts a linear index to a lower triangular one. K ==> ( I J ) 1 1 1 2 2 1 3 2 2 4 3 1 5 3 2 6 3 3 7 4 1 8 4 2 9 4 3 10 4 4 11 5 1 12 5 2 13 5 3 14 5 4 15 5 5 16 6 1 17 6 2 18 6 3 19 6 4 20 6 5 i4_to_triangle_lower_test Normal end of execution. i4_to_triangle_upper_test Python version: 3.6.9 i4_to_triangle_upper converts a linear index to an upper triangular one. K ==> ( I J ) 1 1 1 2 1 2 3 2 2 4 1 3 5 2 3 6 3 3 7 1 4 8 2 4 9 3 4 10 4 4 11 1 5 12 2 5 13 3 5 14 4 5 15 5 5 16 1 6 17 2 6 18 3 6 19 4 6 20 5 6 i4_to_triangle_upper_test Normal end of execution. i4_uniform_ab_test Python version: 3.6.9 i4_uniform_ab computes pseudorandom values in an interval [A,B]. The lower endpoint A = -100 The upper endpoint B = 200 The initial seed is 123456789 1 -35 2 187 3 149 4 69 5 25 6 -81 7 -23 8 -67 9 -87 10 90 11 -82 12 35 13 20 14 127 15 139 16 -100 17 170 18 5 19 -72 20 -96 i4_uniform_ab_test: Normal end of execution. i4_unswap3_test Python version: 3.6.9 i4_unswap3 swaps three I4's. It can also reverse the effect of i4_swap3. Starting with (I,J,K), unswap 3 times. 1 202 3003003 3003003 1 202 202 3003003 1 1 202 3003003 Start with (I,J,K), swap, then unswap. 1 202 3003003 202 3003003 1 1 202 3003003 i4_unswap3_test Normal end of execution. i4_walsh_1d_test Python version: 3.6.9 i4_walsh_1d evaluates 1D Walsh functions. X +2 +1 0 -1 -2 -3 0.000000 0 0 0 0 0 0 0.250000 0 0 0 0 1 0 0.500000 0 0 0 1 0 0 0.750000 0 0 0 1 1 0 1.000000 0 0 1 0 0 0 1.250000 0 0 1 0 1 0 1.500000 0 0 1 1 0 0 1.750000 0 0 1 1 1 0 2.000000 0 1 0 0 0 0 2.250000 0 1 0 0 1 0 2.500000 0 1 0 1 0 0 2.750000 0 1 0 1 1 0 3.000000 0 1 1 0 0 0 3.250000 0 1 1 0 1 0 3.500000 0 1 1 1 0 0 3.750000 0 1 1 1 1 0 4.000000 1 0 0 0 0 0 4.250000 1 0 0 0 1 0 4.500000 1 0 0 1 0 0 4.750000 1 0 0 1 1 0 5.000000 1 0 1 0 0 0 5.250000 1 0 1 0 1 0 5.500000 1 0 1 1 0 0 5.750000 1 0 1 1 1 0 6.000000 1 1 0 0 0 0 6.250000 1 1 0 0 1 0 6.500000 1 1 0 1 0 0 6.750000 1 1 0 1 1 0 7.000000 1 1 1 0 0 0 7.250000 1 1 1 0 1 0 7.500000 1 1 1 1 0 0 7.750000 1 1 1 1 1 0 8.000000 0 0 0 0 0 0 i4_walsh_1d_test Normal end of execution. i4_width_test Python version: 3.6.9 i4_width determines the printing "width" of an I4. I4 i4_width 0 1 1 1 2 1 3 1 9 1 10 2 11 2 99 2 101 3 -1 2 -2 2 -3 2 -9 2 i4_width_test Normal end of execution. i4_wrap_test Python version: 3.6.9 i4_wrap forces an integer to lie within given limits. ILO = 4 IHI = 8 I i4_wrap(I) -10 5 -9 6 -8 7 -7 8 -6 4 -5 5 -4 6 -3 7 -2 8 -1 4 0 5 1 6 2 7 3 8 4 4 5 5 6 6 7 7 8 8 9 4 10 5 11 6 12 7 13 8 14 4 15 5 16 6 17 7 18 8 19 4 20 5 i4_wrap_test Normal end of execution. i4_xor_test Python version: 3.6.9 i4_xor returns the bitwise exclusive OR of two I4s. I J i4_xor I^J 26 65 91 91 76 37 105 105 48 97 81 81 51 62 13 13 100 36 64 64 4 38 34 34 9 85 92 92 70 28 90 90 13 53 56 56 36 14 42 42 i4_xor_test Normal end of execution. i4mat_flip_cols_test: i4mat_flip_cols reverses the order of matrix columns. The original matrix: Col: 0 1 2 3 4 Row 0: 11 12 13 14 15 1: 21 22 23 24 25 2: 31 32 33 34 35 3: 41 42 43 44 45 4: 51 52 53 54 55 5: 61 62 63 64 65 The column-flipped matrix: Col: 0 1 2 3 4 Row 0: 15 14 13 12 11 1: 25 24 23 22 21 2: 35 34 33 32 31 3: 45 44 43 42 41 4: 55 54 53 52 51 5: 65 64 63 62 61 i4mat_flip_cols_test: Normal end of execution. i4mat_flip_rows_test: i4mat_flip_rows reverses the order of matrix rows. The original matrix: Col: 0 1 2 3 4 Row 0: 11 12 13 14 15 1: 21 22 23 24 25 2: 31 32 33 34 35 3: 41 42 43 44 45 4: 51 52 53 54 55 5: 61 62 63 64 65 The row-flipped matrix: Col: 0 1 2 3 4 Row 0: 61 62 63 64 65 1: 51 52 53 54 55 2: 41 42 43 44 45 3: 31 32 33 34 35 4: 21 22 23 24 25 5: 11 12 13 14 15 i4mat_flip_rows_test: Normal end of execution. i4mat_indicator_test Python version: 3.6.9 i4mat_indicator creates an "indicator" I4MAT. The indicator matrix: Col: 0 1 2 3 Row 0: 11 12 13 14 1: 21 22 23 24 2: 31 32 33 34 3: 41 42 43 44 4: 51 52 53 54 i4mat_indicator_test Normal end of execution. i4mat_is_binary_test Python version: 3.6.9 i4mat_is_binary is TRUE if an I4MAT only contains 0 or 1 entries. X: Col: 0 1 2 Row 0: 0 1 0 1: 1 0 1 X is binary X: Col: 0 1 2 Row 0: 1 1 1 1: 1 1 1 X is binary X: Col: 0 1 2 Row 0: 0 1 0 1: 1 2 1 X is NOT binary. i4mat_is_binary_test Normal end of execution. i4mat_is_integer_test Python version: 3.6.9 i4mat_is_integer is TRUE if every entry of an I4MAT is an integer. Example 1: Obviously integer: [[1 2 3] [4 5 6]] A is an integer matrix. Example 2: Obviously NOT integer: [[1. 2. 3. ] [4. 5. 6.5]] A is NOT an integer matrix. Example 3: Not Integer, Not obvious: [[1. 2. 3.] [4. 5. 6.]] A is NOT an integer matrix. Example 4: Not Integer, Not obvious: [[1.e+00 2.e+00 3.e+08] [4.e+00 5.e+00 6.e+00]] A is NOT an integer matrix. i4mat_is_integer_test Normal end of execution. i4mat_is_ternary_test Python version: 3.6.9 i4mat_is_ternary is TRUE if an I4MAT only contains -1, 0 and +1 entries. X: Col: 0 1 2 Row 0: 0 -1 0 1: 1 0 1 X is ternary X: Col: 0 1 2 Row 0: 1 1 1 1: 1 1 1 X is ternary X: Col: 0 1 2 Row 0: 0 1 0 1: -1 2 -1 X is NOT ternary. i4mat_is_ternary_test Normal end of execution. i4mat_max_test Python version: 3.6.9 i4mat_max returns the maximum entry. The matrix: Col: 0 1 2 3 4 5 6 Row 0: 9 7 3 4 4 7 8 1: 7 3 1 1 6 4 6 2: 9 8 4 6 3 10 3 3: 3 0 1 5 8 4 9 4: 6 8 8 9 0 9 3 Maximum entry = 10 i4mat_max_test Normal_end of execution. i4mat_min_test Python version: 3.6.9 i4mat_min returns the minimum entry. The matrix: Col: 0 1 2 3 4 5 6 Row 0: 1 4 3 7 10 6 6 1: 6 7 4 6 6 7 1 2: 2 8 8 6 10 10 3 3: 2 4 0 7 9 2 9 4: 2 6 2 2 3 8 6 Minimum entry = 0 i4mat_min_test Normal_end of execution. i4mat_mm_test Python version: 3.6.9 i4mat_mm multiplies two I4MAT's Matrix A: Col: 0 1 Row 0: 11 12 1: 21 22 2: 31 32 Matrix B: Col: 0 1 2 3 Row 0: 11 12 13 14 1: 21 22 23 24 C = A*B: Col: 0 1 2 3 Row 0: 373 396 419 442 1: 693 736 779 822 2: 1013 1076 1139 1202 i4mat_mm_test: Normal end of execution. i4mat_print_test: Python version: 3.6.9 Test i4mat_print, which prints an I4MAT. A 5 x 6 integer matrix: Col: 0 1 2 3 4 5 Row 0: 11 12 13 14 15 16 1: 21 22 23 24 25 26 2: 31 32 33 34 35 36 3: 41 42 43 44 45 46 4: 51 52 53 54 55 56 i4mat_print_test: Normal end of execution. i4mat_print_some_test Python version: 3.6.9 i4mat_print_some prints some of an I4MAT. Here is I4MAT, rows 0:2, cols 3:5: Col: 3 4 5 Row 0: 14 15 16 1: 24 25 26 2: 34 35 36 i4mat_print_some_test: Normal end of execution. i4mat_product_elementwise_test Python version: 3.6.9 i4mat_product_elementwise computes the elementwise product of two I4MATs. A: Col: 0 1 2 Row 0: 1 2 3 1: 4 5 6 B: Col: 0 1 2 Row 0: 1 3 5 1: 2 4 6 Elementwise product = 86 i4mat_product_elementwise_test Normal end of execution. i4mat_rank_test i4mat_rank computes the rank of an integer matrix. Matrix A1: Col: 0 1 2 Row 0: 1 2 3 1: 4 5 6 2: 7 8 9 The rank is 2 Matrix A2: Col: 0 1 2 Row 0: 1 2 3 1: 4 5 6 2: 7 8 0 The rank is 3 Matrix A3: Col: 0 1 2 Row 0: 1 2 3 1: 4 5 6 2: 7 8 0 3: 10 11 12 The rank is 3 Matrix A4: Col: 0 1 2 3 Row 0: 1 2 3 7 1: 4 5 6 8 2: 7 8 0 3 The rank is 3 Matrix A5: Col: 0 1 2 Row 0: 1 2 3 1: 4 5 6 2: 7 8 9 3: 10 11 12 4: 3 3 3 The rank is 2 Matrix A6: Col: 0 1 Row 0: 0 0 1: 0 0 2: 0 0 The rank is 0 i4mat_rank_test Normal end of execution. i4mat_ref_test Python version: 3.6.9 i4mat_ref computes the integer row echelon form of an I4MAT. Input A: Col: 0 1 2 3 4 5 6 Row 0: 1 3 0 2 6 3 1 1: -2 -6 0 -2 -8 3 1 2: 3 9 0 0 6 6 2 3: -1 -3 0 1 0 9 3 The pseudo-determinant = 6 IREF of A: Col: 0 1 2 3 4 5 6 Row 0: 1 3 0 2 6 3 1 1: 0 0 0 2 4 9 3 2: 0 0 0 0 0 3 1 3: 0 0 0 0 0 0 0 i4mat_ref_test Normal end of execution. i4mat_row_reduce_test Python version: 3.6.9 i4mat_row_reduce divides out any common factors in the entries of a row of an I4MAT. Original matrix: Col: 0 1 2 Row 0: 12 88 9 1: 4 8 192 2: -12 99 94 3: 30 18 42 4: 0 4 8 After reducing a row: Col: 0 1 2 Row 0: 12 88 9 1: 4 8 192 2: -12 99 94 3: 30 18 42 4: 0 1 2 After reducing a row: Col: 0 1 2 Row 0: 12 88 9 1: 4 8 192 2: -12 99 94 3: 5 3 7 4: 0 1 2 After reducing a row: Col: 0 1 2 Row 0: 12 88 9 1: 4 8 192 2: -12 99 94 3: 5 3 7 4: 0 1 2 After reducing a row: Col: 0 1 2 Row 0: 12 88 9 1: 1 2 48 2: -12 99 94 3: 5 3 7 4: 0 1 2 After reducing a row: Col: 0 1 2 Row 0: 12 88 9 1: 1 2 48 2: -12 99 94 3: 5 3 7 4: 0 1 2 i4mat_row_reduce_test Normal end of execution. i4mat_row_swap_test: Python version: 3.6.9 i4mat_row_swap swaps two rows in an I4MAT. The original matrix: Col: 0 1 2 3 4 Row 0: 11 12 13 14 15 1: 21 22 23 24 25 2: 31 32 33 34 35 3: 41 42 43 44 45 4: 51 52 53 54 55 5: 61 62 63 64 65 After swapping rows 1 and 4: Col: 0 1 2 3 4 Row 0: 11 12 13 14 15 1: 51 52 53 54 55 2: 31 32 33 34 35 3: 41 42 43 44 45 4: 21 22 23 24 25 5: 61 62 63 64 65 i4mat_row_swap_test: Normal end of execution. i4mat_rref_test Python version: 3.6.9 i4mat_rref computes the integer reduced row echelon form (IREF) of an I4MAT. Input A: Col: 0 1 2 3 4 5 6 Row 0: 1 3 0 2 6 3 1 1: -2 -6 0 -2 -8 3 1 2: 3 9 0 0 6 6 2 3: -1 -3 0 1 0 9 3 The pseudo-determinant = 6 IRREF form: Col: 0 1 2 3 4 5 6 Row 0: 1 3 0 0 2 0 0 1: 0 0 0 1 2 0 0 2: 0 0 0 0 0 3 1 3: 0 0 0 0 0 0 0 i4mat_rref_test Normal end of execution. i4mat_rref_solve_binary_test: Python version: 3.6.9 i4mat_rref_solve_binary seeks binary solutions of an Integer Row-Reduced Echelon Form (IRREF) system A*x=b when A and b contain integer values. The IRREF matrix A: Col: 0 1 2 3 4 5 6 7 8 9 Row 0: 1 0 0 0 0 0 1 0 -1 0 1: 0 1 0 0 0 0 0 0 1 0 2: 0 0 1 0 0 0 1 0 -1 0 3: 0 0 0 1 0 0 0 0 1 1 4: 0 0 0 0 1 0 0 0 0 1 5: 0 0 0 0 0 1 -1 0 1 0 6: 0 0 0 0 0 0 0 1 0 -1 7: 0 0 0 0 0 0 0 0 0 0 8: 0 0 0 0 0 0 0 0 0 0 The right hand side b: 0 0 1 1 2 0 3 1 4 1 5 1 6 0 7 0 8 0 Binary solution vectors x: Col: 0 1 2 3 Row 0: 0 0 1 0 1: 1 1 0 0 2: 0 0 1 0 3: 1 0 0 0 4: 1 0 1 1 5: 1 1 0 1 6: 0 0 0 1 7: 0 1 0 0 8: 0 0 1 1 9: 0 1 0 0 i4mat_rref_solve_binary_test Normal end of execution. i4mat_rref_solve_binary_nz_test: Python version: 3.6.9 i4mat_rref_solve_binary_nz seeks binary solutions of an Integer Row-Reduced Echelon Form (IRREF) system A*x=b which have exactly NZ nonzeros. The IRREF matrix A: Col: 0 1 2 3 4 5 6 7 8 9 Row 0: 1 0 0 0 0 0 1 0 -1 0 1: 0 1 0 0 0 0 0 0 1 0 2: 0 0 1 0 0 0 1 0 -1 0 3: 0 0 0 1 0 0 0 0 1 1 4: 0 0 0 0 1 0 0 0 0 1 5: 0 0 0 0 0 1 -1 0 1 0 6: 0 0 0 0 0 0 0 1 0 -1 7: 0 0 0 0 0 0 0 0 0 0 8: 0 0 0 0 0 0 0 0 0 0 The right hand side b: 0 0 1 1 2 0 3 1 4 1 5 1 6 0 7 0 8 0 Only consider binary solutions with exactly 4 nonzeros. Binary solution vectors x: Col: 0 1 2 3 Row 0: 0 1 0 0 1: 1 0 1 0 2: 0 1 0 0 3: 1 0 0 0 4: 1 1 0 1 5: 1 0 1 1 6: 0 0 0 1 7: 0 0 1 0 8: 0 1 0 1 9: 0 0 1 0 i4mat_rref_solve_binary_nz_test Normal end of execution. i4mat_sum_test Python version: 3.6.9 i4mat_sum sums the entries in an I4MAT. The matrix: Col: 0 1 2 Row 0: 3 3 4 1: 4 0 3 2: 4 2 1 3: 5 2 2 Sum of entries = 33 i4mat_sum_test Normal_end of execution. i4mat_transpose_test: i4mat_transpose transposes an I4MAT. The original matrix: Col: 0 1 2 3 Row 0: 11 12 13 14 1: 21 22 23 24 2: 31 32 33 34 3: 41 42 43 44 4: 51 52 53 54 The transposed matrix: Col: 0 1 2 3 4 Row 0: 11 21 31 41 51 1: 12 22 32 42 52 2: 13 23 33 43 53 3: 14 24 34 44 54 i4mat_transpose_test: Normal end of execution. i4mat_transpose_print_test: Python version: 3.6.9 Test i4mat_transpose_print, which prints an I4MAT, tranposed. A 5 x 3 integer matrix: Row: 0 1 2 3 4 Col 0: 11 21 31 41 51 1: 12 22 32 42 52 2: 13 23 33 43 53 i4mat_transpose_print_test: Normal end of execution. i4mat_transpose_print_some_test Python version: 3.6.9 i4mat_transpose_print_some prints some of an I4MAT, transposed. Here is I4MAT, rows 0:2, cols 3:5: Row: 0 1 2 Col 3: 14 24 34 4: 15 25 35 5: 16 26 36 i4mat_transpose_print_some_test: Normal end of execution. i4mat_u_solve_test Python version: 3.6.9 i4mat_u_solve solves an upper triangular system. Input matrix A: Col: 0 1 2 3 Row 0: 1 2 4 7 1: 0 3 5 8 2: 0 0 6 9 3: 0 0 0 10 Right hand side b: 0 45 1 53 2 54 3 40 Computed solution x: 0: 1 1: 2 2: 3 3: 4 Norm of A*x-b = 0 i4mat_u_solve_test Normal end of execution. i4mat_u1_inverse_test Python version: 3.6.9 i4mat_u1_inverse inverts a unit upper triangular matrix. The original matrix: Col: 0 1 2 3 4 5 Row 0: 1 2 0 5 0 75 1: 0 1 0 0 0 0 2: 0 0 1 3 0 0 3: 0 0 0 1 0 6 4: 0 0 0 0 1 4 5: 0 0 0 0 0 1 The inverse matrix: Col: 0 1 2 3 4 5 Row 0: 1 -2 0 -5 0 -45 1: 0 1 0 0 0 0 2: 0 0 1 -3 0 18 3: 0 0 0 1 0 -6 4: 0 0 0 0 1 -4 5: 0 0 0 0 0 1 The product: Col: 0 1 2 3 4 5 Row 0: 1 0 0 0 0 0 1: 0 1 0 0 0 0 2: 0 0 1 0 0 0 3: 0 0 0 1 0 0 4: 0 0 0 0 1 0 5: 0 0 0 0 0 1 i4mat_u1_inverse_test: Normal end of execution. i4mat_uniform_ab_test Python version: 3.6.9 i4mat_uniform_ab computes a random R8MAT. -1 <= X <= 5 Initial seed is 123456789 Random I4MAT: Col: 0 1 2 3 Row 0: 0 -1 -1 -1 1: 5 0 2 5 2: 4 -1 1 1 3: 2 -1 4 -1 4: 1 3 4 -1 i4mat_uniform_ab_test: Normal end of execution. i4mat_width_test Python version: 3.6.9 i4mat_width determines the printing width of an I4MAT. A1: Col: 0 1 2 Row 0: 11 211 3111 1: 12 222 3222 2: 13 233 3333 The printing width of A1 is 4 A2: Col: 0 1 2 Row 0: 10 23 45 1: 42 -1000 63 2: 77 63 90 The printing width of A2 is 5 i4mat_width_test Normal end of execution. i4row_max_test Python version: 3.6.9 i4row_max computes maximums of an I4ROW. The matrix: Col: 0 1 2 3 Row 0: 1 2 3 4 1: 5 6 7 8 2: 9 10 11 12 Row maximums: 0 4 1 8 2 12 i4row_max_test: Normal end of execution. i4row_mean_test Python version: 3.6.9 i4row_mean computes row means of an I4ROW. The matrix: Col: 0 1 2 3 Row 0: 1 2 3 4 1: 5 6 7 8 2: 9 10 11 12 The row means: 0: 2.5 1: 6.5 2: 10.5 i4row_mean_test: Normal end of execution. i4row_min_test Python version: 3.6.9 i4row_min computes minimums of an I4ROW. The matrix: Col: 0 1 2 3 Row 0: 1 2 3 4 1: 5 6 7 8 2: 9 10 11 12 Row minimums: 0 1 1 5 2 9 i4row_min_test: Normal end of execution. i4row_variance_test Python version: 3.6.9 i4row_variance computes variances of an I4ROW. The matrix: Col: 0 1 2 3 Row 0: 1 2 3 4 1: 5 6 7 8 2: 9 10 11 12 The row variances: 0: 1.66667 1: 1.66667 2: 1.66667 i4row_variance_test: Normal end of execution. i4rows_to_i4mat_test Python version: 3.6.9 i4rows_to_i4mat allows an I4MAT to be initialized by data stored ROW-WISE in a vector. The data vector: 0 11 1 12 2 13 3 14 4 21 5 22 6 23 7 24 8 31 9 32 10 33 11 34 The data copied into an array: Col: 0 1 2 3 Row 0: 11 12 13 14 1: 21 22 23 24 2: 31 32 33 34 i4rows_to_i4mat_test: Normal end of execution. i4vec_add_test Python version: 3.6.9 i4vec_add adds two I4VECs. I A B C 0 -7 -9 -16 1 -8 -7 -15 2 -3 0 -3 3 4 -8 -4 4 9 -1 8 5 -6 4 -2 6 5 -10 -5 7 0 -5 -5 8 -8 -5 -13 9 -7 -8 -15 i4vec_add_test Normal end of execution. i4vec_amax_test Python version: 3.6.9 i4vec_amax computes the largest of the magnitudes of the entries of an I4VEC. Vector A: 0 -1 1 4 2 -7 3 -4 4 4 5 2 6 -6 7 3 8 -1 9 3 Largest magnitude of entries of A = 7 i4vec_amax_test Normal end of execution. i4vec_amin_test Python version: 3.6.9 i4vec_amin computes the smallest of the magnitudes of the entries of an I4VEC. Vector A: 0 3 1 -10 2 4 3 -3 4 2 5 -8 6 3 7 -4 8 2 9 2 Smallest magnitude of entries of A = 2 i4vec_amin_test Normal end of execution. i4vec_binary_next_test Python version: 3.6.9 i4vec_binary_next generates the next binary vector. 000 001 010 011 100 101 110 111 i4vec_binary_next_test Normal end of execution. i4vec_concatenate_test Python version: 3.6.9 i4vec_concatenate concatenates two I4VECs Array 1: 0 91 1 31 2 71 3 51 4 31 Array 2: 0 42 1 22 2 12 Array 3 = Array 1 + Array 2: 0 91 1 31 2 71 3 51 4 31 5 42 6 22 7 12 i4vec_concatenate_test Normal end of execution. i4vec_copy_test Python version: 3.6.9 i4vec_copy copies an I4VEC. Array 1: 0 91 1 31 2 71 3 51 4 31 Array 2: 0 91 1 31 2 71 3 51 4 31 i4vec_copy_test Normal end of execution. i4vec_cum_test Python version: 3.6.9 i4vec_cum: cumulative sum of I4VEC entries; Input vector: 0 7 1 8 2 1 3 2 4 6 5 6 6 2 7 5 8 1 9 8 Cumulative sums: 0 7 1 15 2 16 3 18 4 24 5 30 6 32 7 37 8 38 9 46 i4vec_cum_test Normal end of execution. i4vec_cum0_test Python version: 3.6.9 i4vec_cum0: zero-based cumulative sum of I4VEC entries; Input vector: 0 10 1 1 2 10 3 0 4 4 5 0 6 9 7 8 8 3 9 5 Cumulative sums: 0 0 1 10 2 11 3 21 4 21 5 25 6 25 7 34 8 42 9 45 10 50 i4vec_cum0_test Normal end of execution. i4vec_decrement_test Python version: 3.6.9 i4vec_decrement decrements an I4VEC. The I4VEC: 0 3 1 5 2 0 3 8 The I4VEC after decrementing: 0 2 1 4 2 -1 3 7 i4vec_decrement_test: Normal end of execution. i4vec_dot_product_test Python version: 3.6.9 i4vec_dot_product computes the dot product of two I4VECs. The vector A: 0 1 1 2 2 0 3 5 4 2 The vector B: 0 3 1 2 2 5 3 1 4 6 The dot product is 24 i4vec_dot_product_test: Normal end of execution. i4vec_frac_test Python version: 3.6.9 i4vec_frac: K-th smallest integer vector entry. The array to search: 0 9 1 7 2 6 3 18 4 8 5 18 6 8 7 11 8 6 9 16 Fractile Value 1 6 4 8 7 11 10 18 i4vec_frac_test Normal end of execution. i4vec_heap_d_test Python version: 3.6.9 i4vec_heap_d puts an I4VEC into descending heap form. Unsorted array: 0 3 1 8 2 8 3 9 4 8 5 7 6 7 7 6 8 7 9 4 Descending heap form: 0 9 1 8 2 8 3 7 4 8 5 7 6 7 7 6 8 3 9 4 i4vec_heap_d_test Normal end of execution. i4vec_gcd_test Python version: 3.6.9 i4vec_gcd computes the greatest common divisor of the entries in an I4VEC. The I4VEC: 0 120120 1 90090 2 750750 3 330330 GCD = 30030 i4vec_identity_row_test Python version: 3.6.9 i4vec_identity_row returns a row of the identity matrix. -1: 0 0 0 0 0 0: 1 0 0 0 0 1: 0 1 0 0 0 2: 0 0 1 0 0 3: 0 0 0 1 0 4: 0 0 0 0 1 5: 0 0 0 0 0 i4vec_identity_row_test Normal end of execution. i4vec_increment_test Python version: 3.6.9 i4vec_increment increments an I4VEC. The I4VEC: 0 10 1 8 2 -5 3 1 The I4VEC after incrementing: 0 11 1 9 2 -4 3 2 i4vec_increment_test: Normal end of execution. i4vec_index_test Python version: 3.6.9 For an integer vector: i4vec_index: first index of given value; Input vector: 0 6 1 9 2 0 3 3 4 7 5 2 6 8 7 7 8 3 9 -2 Index of first occurrence of 2 is 5 Index of first occurrence of 3 is 3 i4vec_index_test: Normal end of execution. i4vec_indicator0_test Python version: 3.6.9 i4vec_indicator0 returns an indicator vector. The indicator0 vector: 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 i4vec_indicator0_test Normal end of execution. i4vec_indicator1_test Python version: 3.6.9 i4vec_indicator1 returns an indicator vector. The indicator1 vector: 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 i4vec_indicator1_test Normal end of execution. i4vec_is_ascending_test Python version: 3.6.9 i4vec_is_ascending determines if an I4VEC ascends. Test vector: 1 3 2 4 i4vec_is_ascending = False Test vector: 2 2 2 2 i4vec_is_ascending = True Test vector: 1 2 2 4 i4vec_is_ascending = True Test vector: 1 2 3 4 i4vec_is_ascending = True Test vector: 4 4 3 1 i4vec_is_ascending = False Test vector: 9 7 3 0 i4vec_is_ascending = False i4vec_is_ascending_test Normal end of execution. i4vec_is_binary_test Python version: 3.6.9 i4vec_is_binary is TRUE if an I4VEC only contains 0 or 1 entries. X: 0 0 0 X is binary X: 1 0 1 X is binary X: 0 2 1 X is NOT binary. i4vec_is_binary_test Normal end of execution. i4vec_is_coprime_test Python version: 3.6.9 i4vec_is_coprime() determines if a vector of integers is pairwise prime. Row Vector Coprime? 1 3 2 4 False 2 2 2 2 False 5 7 12 29 True 1 13 1 11 True 1 4 9 16 False 6 35 13 77 False i4vec_is_coprime_test Normal end of execution. i4vec_is_descending_test Python version: 3.6.9 i4vec_is_descending determines if an I4VEC descends. Test vector: 1 3 2 4 i4vec_is_descending = False Test vector: 2 2 2 2 i4vec_is_descending = True Test vector: 1 2 2 4 i4vec_is_descending = False Test vector: 1 2 3 4 i4vec_is_descending = False Test vector: 4 4 3 1 i4vec_is_descending = True Test vector: 9 7 3 0 i4vec_is_descending = True i4vec_is_descending_test Normal end of execution. i4vec_is_distinct_test Python version: 3.6.9 i4vec_is_distinct computes the maximum entry in an I4VEC. Input vector: 0 1 1 2 2 5 3 3 4 4 Array entries are distinct. Input vector: 0 1 1 2 2 5 3 2 4 4 Array entries are NOT distinct. i4vec_is_distinct_test: Normal end of execution. i4vec_is_equal_test Python version: 3.6.9 i4vec_is_equal is TRUE if two I4VECs are equal. Vectors A and B: 0 1 1 1 3 3 2 2 2 3 4 4 i4vec_is_equal(A,B) = True Vectors A and B: 0 2 2 1 2 2 2 2 1 3 2 2 i4vec_is_equal(A,B) = False Vectors A and B: 0 1 4 1 2 1 2 2 1 3 4 3 i4vec_is_equal(A,B) = False Vectors A and B: 0 1 1 1 2 2 2 3 3 3 4 4 i4vec_is_equal(A,B) = True i4vec_is_equal_test Normal end of execution. i4vec_is_even_all_test Python version: 3.6.9 i4vec_is_even_all is TRUE if an I4VEC only contains even entries. X: 1 5 19 X is NOT only even values. X: 3 2 77 X is NOT only even values. X: 2 4 88 X is only even values. i4vec_is_even_all_test Normal end of execution. i4vec_is_even_any_test Python version: 3.6.9 i4vec_is_even_all is TRUE if an I4VEC contains any even entries. X: 1 5 19 X contains NO even values. X: 3 2 77 X contains at least one even value. X: 2 4 88 X contains at least one even value. i4vec_is_even_any_test Normal end of execution. i4vec_is_binary_test Python version: 3.6.9 i4vec_is_binary is TRUE if an I4VEC only contains 0 or 1 entries. X: 0 0 0 Y: 1 2 3 Some X is < some Y. X: 3 2 1 Y: 1 2 3 Some X is < some Y. X: 2 3 4 Y: 1 2 3 NO X is < any Y. i4vec_is_lt_any_test Normal end of execution. i4vec_is_negative_any_test Python version: 3.6.9 i4vec_is_negative_any is TRUE if an I4VEC contains at least one negative entry. X: -1 -2 0 X has at least one negative entry. X: -1 0 1 X has at least one negative entry. X: 1 3 99 X has no negative entries. i4vec_is_negative_any_test Normal end of execution. i4vec_is_nonpositive_all_test Python version: 3.6.9 i4vec_is_nonpositive_all is TRUE if an I4VEC only contains nonpositive entries. X: -1 -2 0 X is only nonpositives. X: -1 0 1 X is NOT only nonpositives. X: -1 -3 -99 X is only nonpositives. i4vec_is_nonpositive_all_test Normal end of execution. i4vec_is_nonzero_any_test Python version: 3.6.9 i4vec_is_nonzero_any is TRUE if an I4VEC contains at least one nonzero entry. X: 0 0 0 X has no nonzero entries. X: 0 -1 0 X has at least one nonzero entry. X: 1 3 99 X has at least one nonzero entry. i4vec_is_nonzero_any_test Normal end of execution. i4vec_is_odd_all_test Python version: 3.6.9 i4vec_is_odd_all is TRUE if an I4VEC only contains odd entries. X: 1 5 19 X is only odd values. X: 3 2 77 X is NOT only odd values. X: 2 4 88 X is NOT only odd values. i4vec_is_odd_all_test Normal end of execution. i4vec_is_odd_any_test Python version: 3.6.9 i4vec_is_odd_all is TRUE if an I4VEC contains any odd entries. X: 1 5 19 X contains at least one odd value. X: 3 2 77 X contains at least one odd value. X: 2 4 88 X contains NO odd values. i4vec_is_odd_any_test Normal end of execution. i4vec_is_one_test Python version: 3.6.9 i4vec_is_one is TRUE if an I4VEC only contains 1 entries. X: 0 0 0 X is NOT only ones. X: 0 1 2 X is NOT only ones. X: 1 1 1 X is only ones. i4vec_is_one_test Normal end of execution. i4vec_is_zero_test Python version: 3.6.9 i4vec_is_zero is TRUE if an I4VEC only contains 0 entries. X: 0 0 0 X is only zeros. X: 0 1 2 X is NOT only zeros. X: 1 1 1 X is NOT only zeros. i4vec_is_zero_test Normal end of execution. i4vec_max_test Python version: 3.6.9 i4vec_max returns the maximum entry in an I4VEC. The vector: 0 4 1 26 2 9 3 4 4 25 5 11 6 28 7 3 8 17 9 13 Maximum entry = 28 i4vec_max_test Normal end of execution. i4vec_max_index_last_test Python version: 3.6.9 i4vec_max_index_last: last maximal index Input vector: 0 2 1 0 2 3 3 1 4 3 5 2 6 2 7 1 8 1 9 0 10 3 11 1 12 1 13 0 14 1 Last maximum index: 10 i4vec_max_index_last_test: Normal end of execution. i4vec_max_last_test i4vec_max_last identifies the largest element in an I4VEC, and moves it to the final entry. Input vector: 0 11 1 23 2 14 3 20 4 26 5 21 6 27 7 17 8 27 9 19 Maximum: 27 Output vector: 0 11 1 14 2 20 3 23 4 21 5 26 6 17 7 27 8 19 9 27 i4vec_mean_test Python version: 3.6.9 i4vec_mean computes the mean of an I4VEC. The vector: 0 2 1 4 2 7 3 2 4 9 The mean value is 4.8 i4vec_mean_test: Normal end of execution. i4vec_mean_i4_test Python version: 3.6.9 i4vec_mean_i4 computes the I4 mean of an I4VEC. The vector: 0 6 1 6 2 6 3 5 4 6 The I4 mean value is 6 i4vec_mean_i4_test: Normal end of execution. i4vec_min_test Python version: 3.6.9 i4vec_min returns the minimum entry in an I4VEC. The vector: 0 18 1 7 2 11 3 15 4 21 5 13 6 3 7 14 8 19 9 19 Minimum entry = 3 i4vec_min_test Normal end of execution. i4vec_permute_test Python version: 3.6.9 i4vec_permute reorders an I4VEC according to a given permutation. A[*], before rearrangement: 0 8 1 8 2 1 3 7 4 0 5 11 6 7 7 6 8 3 9 9 10 0 11 1 Permutation vector P[*]: 0 5 1 9 2 10 3 6 4 11 5 4 6 0 7 7 8 3 9 1 10 8 11 2 A[P[*]]: 0 11 1 9 2 0 3 7 4 1 5 0 6 8 7 6 8 7 9 8 10 3 11 1 i4vec_permute_test(): Normal end of execution. i4vec_permute_uniform_test Python version: 3.6.9 i4vec_permute_uniform randomly reorders an I4VEC. A, before rearrangement: 0 101 1 102 2 103 3 104 4 105 5 106 6 107 7 108 8 109 9 110 10 111 11 112 A, after rearrangement: 0 107 1 112 2 103 3 102 4 104 5 109 6 110 7 105 8 101 9 111 10 106 11 108 i4vec_permute_uniform_test: Normal end of execution. i4vec_print_test Python version: 3.6.9 i4vec_print prints an I4VEC. Here is an I4VEC: 0 91 1 92 2 93 3 94 i4vec_print_test: Normal end of execution. i4vec_print_mask_test Python version: 3.6.9 i4vec_print_mask prints the masked elements of an I4VEC. Here is the full vector: 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 Here is the vector mask: 0 0 1 1 2 1 3 0 4 1 5 0 6 1 7 0 8 0 9 0 Here is the masked vector I4VEC: 1 2 2 3 4 5 6 7 i4vec_print_mask_test: Normal end of execution. i4vec_product_test Python version: 3.6.9 i4vec_product computes the product of the entries in an I4VEC. Input vector: 0 -1 1 1 2 4 3 -3 4 3 5 1 6 3 7 5 8 5 9 -4 Product of entries = -10800 i4vec_product_test: Normal end of execution. i4vec_red_test Python version: 3.6.9 i4vec_red divides out any common factors in the entries of an I4VEC. Apply i4vec_red to each row of this matrix: Col: 0 1 2 Row 0: 12 88 9 1: 4 8 192 2: -12 88 94 3: 30 18 42 4: 0 4 8 Reduced matrix: Col: 0 1 2 Row 0: 12 88 9 1: 1 2 48 2: -6 44 47 3: 5 3 7 4: 0 1 2 i4vec_red_test Normal end of execution. i4vec_reverse_test Python version: 3.6.9 i4vec_reverse reverses a list of integers. Original vector: 0 9 1 1 2 22 3 4 4 18 5 1 6 25 7 2 8 0 9 9 Reversed: 0 9 1 0 2 2 3 25 4 1 5 18 6 4 7 22 8 1 9 9 i4vec_reverse_test: Normal end of execution. i4vec_run_count_test Python version: 3.6.9 i4vec_run_count counts runs in an I4VEC Run Count Sequence 10 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 13 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 0 1 10 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 9 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 13 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 9 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 6 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 9 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 13 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 13 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 i4vec_run_count_test: Normal end of execution. i4vec_search_binary_a_test Python version: 3.6.9 i4vec_search_binary_a searches a ascending sorted vector. Ascending sorted array: 0 0 1 1 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 Now search for an instance of the value 5 The value occurs at index = 6 i4vec_search_binary_a_test Normal end of execution. i4vec_sort_bubble_a_test Python version: 3.6.9 i4vec_sort_bubble_a ascending sorts, Unsorted: 0 8 1 5 2 58 3 37 4 60 5 27 6 56 7 8 8 37 9 14 10 56 11 45 12 3 13 45 14 56 15 39 16 57 17 27 18 32 19 21 Ascending sorted: 0 3 1 5 2 8 3 8 4 14 5 21 6 27 7 27 8 32 9 37 10 37 11 39 12 45 13 45 14 56 15 56 16 56 17 57 18 58 19 60 i4vec_sort_bubble_a_test: Normal end of execution. i4vec_sort_heap_a_test Python version: 3.6.9 i4vec_sort_heap_a ascending sorts an I4VEC. Unsorted: 0 37 1 18 2 26 3 31 4 1 5 27 6 12 7 10 8 11 9 25 10 12 11 49 12 57 13 23 14 15 15 59 16 33 17 23 18 59 19 29 Ascending sorted: 0 1 1 10 2 11 3 12 4 12 5 15 6 18 7 23 8 23 9 25 10 26 11 27 12 29 13 31 14 33 15 37 16 49 17 57 18 59 19 59 i4vec_sort_heap_a_test Normal end of execution. i4vec_sort_heap_index_a_test Python version: 3.6.9 i4vec_sort_heap_index_a creates an ascending sort index for an I4VEC. Unsorted array A: 0 19 1 28 2 58 3 19 4 42 5 4 6 37 7 56 8 9 9 11 10 39 11 8 12 14 13 53 14 20 15 4 16 29 17 42 18 42 19 37 Sort vector INDX: 0 15 1 5 2 11 3 8 4 9 5 12 6 0 7 3 8 14 9 1 10 16 11 6 12 19 13 10 14 4 15 18 16 17 17 13 18 7 19 2 I INDX(I) A(INDX(I)) 0 15 4 1 5 4 2 11 8 3 8 9 4 9 11 5 12 14 6 0 19 7 3 19 8 14 20 9 1 28 10 16 29 11 6 37 12 19 37 13 10 39 14 4 42 15 18 42 16 17 42 17 13 53 18 7 56 19 2 58 i4vec_sort_heap_index_a_test: Normal end of execution. i4vec_sort_heap_index_d_test Python version: 3.6.9 i4vec_sort_heap_index_d creates a descending sort index for an I4VEC. Unsorted array A: 0 21 1 19 2 11 3 20 4 49 5 24 6 42 7 40 8 39 9 51 10 29 11 10 12 38 13 52 14 23 15 26 16 25 17 2 18 51 19 52 Sort vector INDX: 0 19 1 13 2 9 3 18 4 4 5 6 6 7 7 8 8 12 9 10 10 15 11 16 12 5 13 14 14 0 15 3 16 1 17 2 18 11 19 17 I INDX(I) A(INDX(I)) 0 19 52 1 13 52 2 9 51 3 18 51 4 4 49 5 6 42 6 7 40 7 8 39 8 12 38 9 10 29 10 15 26 11 16 25 12 5 24 13 14 23 14 0 21 15 3 20 16 1 19 17 2 11 18 11 10 19 17 2 i4vec_sort_heap_index_d_test: Normal end of execution. i4vec_sort_insert_a_test Python version: 3.6.9 i4vec_sort_insert_a sorts an integer array. Unsorted array: 0 7 1 3 2 2 3 7 4 8 5 9 6 6 7 9 8 10 9 1 Sorted array: 0 1 1 2 2 3 3 6 4 7 5 7 6 8 7 9 8 9 9 10 i4vec_sort_insert_a_test Normal end of execution. i4vec_sort_insert_d_test Python version: 3.6.9 i4vec_sort_insert_d descending sorts an I4VEC. Unsorted array: 0 10 1 10 2 1 3 5 4 3 5 3 6 7 7 9 8 10 9 6 Descending sorted array: 0 10 1 10 2 10 3 9 4 7 5 6 6 5 7 3 8 3 9 1 i4vec_sort_insert_d_test Normal end of execution. i4vec_sorted_unique_test Python version: 3.6.9 i4vec_sorted_unique finds unique entries in a sorted array. Input vector: 0 1 1 2 2 2 3 3 4 6 5 7 6 9 7 10 8 10 9 11 10 13 11 14 12 14 13 15 14 18 15 18 16 19 17 19 18 19 19 20 Unique entries: 0 1 1 2 2 3 3 6 4 7 5 9 6 10 7 11 8 13 9 14 10 15 11 18 12 19 13 20 i4vec_sorted_unique_test Normal end of execution. i4vec_sorted_unique_count_test Python version: 3.6.9 i4vec_sorted_unique_count counts unique entries in a sorted I4VEC. Input vector: 0 1 1 1 2 4 3 4 4 5 5 6 6 6 7 7 8 11 9 12 10 13 11 14 12 14 13 15 14 15 15 15 16 19 17 19 18 20 19 20 Number of unique entries is 12 i4vec_sorted_unique_count_test: Normal end of execution. i4vec_sum_test Python version: 3.6.9 i4vec_sum sums the entries of an I4VEC. The vector: 0 4 1 8 2 7 3 0 4 2 The vector entries sum to 21 i4vec_sum_test: Normal end of execution. i4vec_transpose_print_test Python version: 3.6.9 i4vec_transpose_print prints an I4VEC with 5 entries to a row, and an optional title. My array: 1 2 3 4 5 6 7 8 9 10 11 12 i4vec_transpose_print_test: Normal end of execution. i4vec_uniform_ab_test Python version: 3.6.9 i4vec_uniform_ab computes pseudorandom values in an interval [A,B]. The lower endpoint A = -100 The upper endpoint B = 200 The initial seed is 123456789 The random vector: 0 -35 1 187 2 149 3 69 4 25 5 -81 6 -23 7 -67 8 -87 9 90 10 -82 11 35 12 20 13 127 14 139 15 -100 16 170 17 5 18 -72 19 -96 i4vec_uniform_ab_test: Normal end of execution. i4vec_unique_count_test Python version: 3.6.9 i4vec_unique_count counts unique entries in an I4VEC. Input vector: 0 19 1 5 2 7 3 19 4 5 5 14 6 8 7 16 8 14 9 19 10 20 11 13 12 5 13 18 14 17 15 5 16 16 17 8 18 1 19 3 Number of unique entries is 12 i4vec_unique_count_test: Normal end of execution. i4vec_variance_test Python version: 3.6.9 i4vec_variance computes the variance of an I4VEC. Input vector: 0 0 1 1 2 -3 3 1 4 -2 5 -1 6 -4 7 -1 8 -1 9 0 Value = 2.66667 i4vec_variance_test: Normal end of execution. i4vec_width_test Python version: 3.6.9 i4vec_width determines the printing "width" of an I4VEC. The vector 0 0 1 1 2 2 3 3 4 9 5 10 6 11 7 99 8 101 9 -1 10 -2 11 -3 12 -9 The printing width is 3 i4vec_width_test Normal end of execution. i4vec2_print_test Python version: 3.6.9 i4vec2_print prints a pair of I4VECs I, sum of I, sum of I^2: 0 0 0 1 1 1 2 3 5 3 6 14 4 10 30 5 15 55 6 21 91 7 28 140 8 36 204 9 45 285 10 55 385 i4vec2_print_test: Normal end of execution. ksub_next4_test Python version: 3.6.9 ksub_next4() generates K subsets of an N set. N = 5 K = 3 Rank Subset 1 1 2 3 2 1 2 4 3 1 3 4 4 2 3 4 5 1 2 5 6 1 3 5 7 2 3 5 8 1 4 5 9 2 4 5 10 3 4 5 ksub_next4_test: Normal end of execution. l4_to_i4_test Python version: 3.6.9 l4_to_i4 converts an L4 to an I4. L4 I4 False 0 True 1 l4_to_i4_test Normal end of execution. pascal_to_i4_test Python version: 3.6.9 pascal_to_i4 converts Pascal triangle indices to a linear index. I J => K 0 0 1 1 0 2 0 1 3 2 0 4 1 1 5 0 2 6 3 0 7 2 1 8 1 2 9 0 3 10 4 0 11 3 1 12 2 2 13 1 3 14 0 4 15 pascal_to_i4_test: Normal end of execution. perm0_check_test Python version: 3.6.9 perm0_check checks a permutation of 0,...,N-1. Permutation 1: 5 2 3 4 1 perm0_check - Warning! Permutation is missing the value 0. Permutation 2: 4 1 3 0 2 Permutation 3: 0 2 1 3 2 perm0_check - Warning! Permutation is missing the value 4. perm0_check_test: Normal end of execution. perm0_uniform_test Python version: 3.6.9 perm0_uniform randomly selects a permutation of 0, ..., N-1. 5 6 8 4 3 1 9 0 2 7 0 9 5 3 7 4 2 1 8 6 4 2 6 9 8 3 0 1 5 7 4 8 2 0 3 5 9 1 7 6 1 0 8 7 2 9 6 5 4 3 perm0_uniform_test Normal end of execution. perm1_check_test Python version: 3.6.9 perm1_check checks a permutation of 1,...,N. Permutation 1: 5 2 3 4 1 Permutation 2: 4 1 3 0 2 perm1_check - Warning! Permutation is missing the value 5. Permutation 3: 0 2 1 3 2 perm1_check - Warning! Permutation is missing the value 4. perm1_check_test: Normal end of execution. perm1_uniform_test Python version: 3.6.9 perm1_uniform randomly selects a permutation of 1, ..., N. 9 10 4 6 1 8 3 5 7 2 8 5 3 7 2 4 9 6 1 10 9 6 2 7 8 5 10 4 1 3 1 2 8 5 4 7 3 9 10 6 1 6 7 9 2 10 4 3 8 5 perm1_uniform_test Normal end of execution. permutation_symbol_test Python version: 3.6.9 permutation_symbol evaluates the Levi-Civita permutation symbol. Input vector: 1 2 3 4 5 Levi-Civita permutation symbol = 1 Input vector: 4 2 3 1 5 Levi-Civita permutation symbol = -1 Input vector: 1 2 3 4 2 Levi-Civita permutation symbol = 0 permutation_symbol_test: Normal end of execution. prime_test Python version: 3.6.9 prime returns primes from a table. Number of primes stored is 1600 I Prime(I) 1 2 2 3 3 5 4 7 5 11 6 13 7 17 8 19 9 23 10 29 1590 13411 1591 13417 1592 13421 1593 13441 1594 13451 1595 13457 1596 13463 1597 13469 1598 13477 1599 13487 1600 13499 prime_test Normal end of execution. r8vec_print_test Python version: 3.6.9 r8vec_print prints an R8VEC. Here is an R8VEC: 0: 123.456 1: 5e-06 2: -1e+06 3: 3.14159 r8vec_print_test: Normal end of execution. triangle_lower_to_i4_test Python version: 3.6.9 triangle_lower_to_i4 converts a lower triangular index to a linear one. ( I, J ) ==> K 0 0 0 1 0 1 1 1 2 2 0 3 2 1 4 2 2 5 3 0 6 3 1 7 3 2 8 3 3 9 4 0 10 4 1 11 4 2 12 4 3 13 4 4 14 triangle_lower_to_i4_test: Normal end of execution. triangle_upper_to_i4_test Python version: 3.6.9 triangle_upper_to_i4 converts an upper triangular index to a linear one. ( I, J ) ==> K 0 0 0 0 1 1 1 1 2 0 2 3 1 2 4 2 2 5 0 3 6 1 3 7 2 3 8 3 3 9 0 4 10 1 4 11 2 4 12 3 4 13 4 4 14 triangle_upper_to_i4_test: Normal end of execution. i4lib_test: Normal end of execution. Tue Oct 19 11:54:56 2021