1 | /* Range object implementation */
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2 |
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3 | #include "Python.h"
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4 |
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5 | typedef struct {
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6 | PyObject_HEAD
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7 | long start;
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8 | long step;
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9 | long len;
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10 | } rangeobject;
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11 |
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12 | /* Return number of items in range (lo, hi, step). step != 0
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13 | * required. The result always fits in an unsigned long.
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14 | */
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15 | static unsigned long
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16 | get_len_of_range(long lo, long hi, long step)
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17 | {
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18 | /* -------------------------------------------------------------
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19 | If step > 0 and lo >= hi, or step < 0 and lo <= hi, the range is empty.
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20 | Else for step > 0, if n values are in the range, the last one is
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21 | lo + (n-1)*step, which must be <= hi-1. Rearranging,
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22 | n <= (hi - lo - 1)/step + 1, so taking the floor of the RHS gives
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23 | the proper value. Since lo < hi in this case, hi-lo-1 >= 0, so
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24 | the RHS is non-negative and so truncation is the same as the
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25 | floor. Letting M be the largest positive long, the worst case
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26 | for the RHS numerator is hi=M, lo=-M-1, and then
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27 | hi-lo-1 = M-(-M-1)-1 = 2*M. Therefore unsigned long has enough
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28 | precision to compute the RHS exactly. The analysis for step < 0
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29 | is similar.
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30 | ---------------------------------------------------------------*/
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31 | assert(step != 0);
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32 | if (step > 0 && lo < hi)
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33 | return 1UL + (hi - 1UL - lo) / step;
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34 | else if (step < 0 && lo > hi)
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35 | return 1UL + (lo - 1UL - hi) / (0UL - step);
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36 | else
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37 | return 0UL;
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38 | }
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39 |
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40 | /* Return a stop value suitable for reconstructing the xrange from
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41 | * a (start, stop, step) triple. Used in range_repr and range_reduce.
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42 | * Computes start + len * step, clipped to the range [LONG_MIN, LONG_MAX].
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43 | */
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44 | static long
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45 | get_stop_for_range(rangeobject *r)
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46 | {
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47 | long last;
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48 |
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49 | if (r->len == 0)
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50 | return r->start;
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51 |
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52 | /* The tricky bit is avoiding overflow. We first compute the last entry in
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53 | the xrange, start + (len - 1) * step, which is guaranteed to lie within
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54 | the range of a long, and then add step to it. See the range_reverse
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55 | comments for an explanation of the casts below.
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56 | */
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57 | last = (long)(r->start + (unsigned long)(r->len - 1) * r->step);
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58 | if (r->step > 0)
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59 | return last > LONG_MAX - r->step ? LONG_MAX : last + r->step;
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60 | else
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61 | return last < LONG_MIN - r->step ? LONG_MIN : last + r->step;
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62 | }
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63 |
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64 | static PyObject *
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65 | range_new(PyTypeObject *type, PyObject *args, PyObject *kw)
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66 | {
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67 | rangeobject *obj;
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68 | long ilow = 0, ihigh = 0, istep = 1;
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69 | unsigned long n;
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70 |
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71 | if (!_PyArg_NoKeywords("xrange()", kw))
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72 | return NULL;
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73 |
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74 | if (PyTuple_Size(args) <= 1) {
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75 | if (!PyArg_ParseTuple(args,
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76 | "l;xrange() requires 1-3 int arguments",
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77 | &ihigh))
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78 | return NULL;
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79 | }
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80 | else {
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81 | if (!PyArg_ParseTuple(args,
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82 | "ll|l;xrange() requires 1-3 int arguments",
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83 | &ilow, &ihigh, &istep))
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84 | return NULL;
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85 | }
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86 | if (istep == 0) {
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87 | PyErr_SetString(PyExc_ValueError, "xrange() arg 3 must not be zero");
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88 | return NULL;
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89 | }
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90 | n = get_len_of_range(ilow, ihigh, istep);
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91 | if (n > (unsigned long)LONG_MAX || (long)n > PY_SSIZE_T_MAX) {
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92 | PyErr_SetString(PyExc_OverflowError,
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93 | "xrange() result has too many items");
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94 | return NULL;
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95 | }
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96 |
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97 | obj = PyObject_New(rangeobject, &PyRange_Type);
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98 | if (obj == NULL)
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99 | return NULL;
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100 | obj->start = ilow;
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101 | obj->len = (long)n;
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102 | obj->step = istep;
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103 | return (PyObject *) obj;
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104 | }
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105 |
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106 | PyDoc_STRVAR(range_doc,
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107 | "xrange(stop) -> xrange object\n\
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108 | xrange(start, stop[, step]) -> xrange object\n\
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109 | \n\
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110 | Like range(), but instead of returning a list, returns an object that\n\
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111 | generates the numbers in the range on demand. For looping, this is \n\
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112 | slightly faster than range() and more memory efficient.");
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113 |
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114 | static PyObject *
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115 | range_item(rangeobject *r, Py_ssize_t i)
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116 | {
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117 | if (i < 0 || i >= r->len) {
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118 | PyErr_SetString(PyExc_IndexError,
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119 | "xrange object index out of range");
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120 | return NULL;
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121 | }
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122 | /* do calculation entirely using unsigned longs, to avoid
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123 | undefined behaviour due to signed overflow. */
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124 | return PyInt_FromLong((long)(r->start + (unsigned long)i * r->step));
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125 | }
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126 |
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127 | static Py_ssize_t
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128 | range_length(rangeobject *r)
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129 | {
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130 | return (Py_ssize_t)(r->len);
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131 | }
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132 |
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133 | static PyObject *
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134 | range_repr(rangeobject *r)
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135 | {
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136 | PyObject *rtn;
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137 |
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138 | if (r->start == 0 && r->step == 1)
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139 | rtn = PyString_FromFormat("xrange(%ld)",
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140 | get_stop_for_range(r));
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141 |
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142 | else if (r->step == 1)
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143 | rtn = PyString_FromFormat("xrange(%ld, %ld)",
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144 | r->start,
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145 | get_stop_for_range(r));
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146 |
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147 | else
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148 | rtn = PyString_FromFormat("xrange(%ld, %ld, %ld)",
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149 | r->start,
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150 | get_stop_for_range(r),
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151 | r->step);
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152 | return rtn;
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153 | }
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154 |
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155 | /* Pickling support */
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156 | static PyObject *
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157 | range_reduce(rangeobject *r, PyObject *args)
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158 | {
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159 | return Py_BuildValue("(O(lll))", Py_TYPE(r),
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160 | r->start,
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161 | get_stop_for_range(r),
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162 | r->step);
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163 | }
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164 |
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165 | static PySequenceMethods range_as_sequence = {
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166 | (lenfunc)range_length, /* sq_length */
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167 | 0, /* sq_concat */
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168 | 0, /* sq_repeat */
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169 | (ssizeargfunc)range_item, /* sq_item */
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170 | 0, /* sq_slice */
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171 | };
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172 |
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173 | static PyObject * range_iter(PyObject *seq);
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174 | static PyObject * range_reverse(PyObject *seq);
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175 |
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176 | PyDoc_STRVAR(reverse_doc,
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177 | "Returns a reverse iterator.");
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178 |
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179 | static PyMethodDef range_methods[] = {
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180 | {"__reversed__", (PyCFunction)range_reverse, METH_NOARGS, reverse_doc},
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181 | {"__reduce__", (PyCFunction)range_reduce, METH_VARARGS},
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182 | {NULL, NULL} /* sentinel */
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183 | };
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184 |
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185 | PyTypeObject PyRange_Type = {
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186 | PyObject_HEAD_INIT(&PyType_Type)
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187 | 0, /* Number of items for varobject */
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188 | "xrange", /* Name of this type */
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189 | sizeof(rangeobject), /* Basic object size */
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190 | 0, /* Item size for varobject */
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191 | (destructor)PyObject_Del, /* tp_dealloc */
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192 | 0, /* tp_print */
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193 | 0, /* tp_getattr */
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194 | 0, /* tp_setattr */
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195 | 0, /* tp_compare */
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196 | (reprfunc)range_repr, /* tp_repr */
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197 | 0, /* tp_as_number */
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198 | &range_as_sequence, /* tp_as_sequence */
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199 | 0, /* tp_as_mapping */
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200 | 0, /* tp_hash */
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201 | 0, /* tp_call */
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202 | 0, /* tp_str */
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203 | PyObject_GenericGetAttr, /* tp_getattro */
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204 | 0, /* tp_setattro */
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205 | 0, /* tp_as_buffer */
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206 | Py_TPFLAGS_DEFAULT, /* tp_flags */
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207 | range_doc, /* tp_doc */
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208 | 0, /* tp_traverse */
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209 | 0, /* tp_clear */
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210 | 0, /* tp_richcompare */
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211 | 0, /* tp_weaklistoffset */
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212 | range_iter, /* tp_iter */
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213 | 0, /* tp_iternext */
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214 | range_methods, /* tp_methods */
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215 | 0, /* tp_members */
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216 | 0, /* tp_getset */
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217 | 0, /* tp_base */
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218 | 0, /* tp_dict */
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219 | 0, /* tp_descr_get */
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220 | 0, /* tp_descr_set */
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221 | 0, /* tp_dictoffset */
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222 | 0, /* tp_init */
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223 | 0, /* tp_alloc */
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224 | range_new, /* tp_new */
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225 | };
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226 |
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227 | /*********************** Xrange Iterator **************************/
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228 |
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229 | typedef struct {
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230 | PyObject_HEAD
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231 | long index;
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232 | long start;
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233 | long step;
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234 | long len;
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235 | } rangeiterobject;
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236 |
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237 | static PyObject *
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238 | rangeiter_next(rangeiterobject *r)
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239 | {
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240 | if (r->index < r->len)
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241 | return PyInt_FromLong(r->start + (r->index++) * r->step);
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242 | return NULL;
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243 | }
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244 |
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245 | static PyObject *
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246 | rangeiter_len(rangeiterobject *r)
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247 | {
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248 | return PyInt_FromLong(r->len - r->index);
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249 | }
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250 |
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251 | PyDoc_STRVAR(length_hint_doc, "Private method returning an estimate of len(list(it)).");
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252 |
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253 | static PyMethodDef rangeiter_methods[] = {
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254 | {"__length_hint__", (PyCFunction)rangeiter_len, METH_NOARGS, length_hint_doc},
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255 | {NULL, NULL} /* sentinel */
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256 | };
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257 |
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258 | static PyTypeObject Pyrangeiter_Type = {
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259 | PyObject_HEAD_INIT(&PyType_Type)
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260 | 0, /* ob_size */
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261 | "rangeiterator", /* tp_name */
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262 | sizeof(rangeiterobject), /* tp_basicsize */
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263 | 0, /* tp_itemsize */
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264 | /* methods */
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265 | (destructor)PyObject_Del, /* tp_dealloc */
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266 | 0, /* tp_print */
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267 | 0, /* tp_getattr */
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268 | 0, /* tp_setattr */
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269 | 0, /* tp_compare */
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270 | 0, /* tp_repr */
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271 | 0, /* tp_as_number */
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272 | 0, /* tp_as_sequence */
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273 | 0, /* tp_as_mapping */
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274 | 0, /* tp_hash */
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275 | 0, /* tp_call */
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276 | 0, /* tp_str */
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277 | PyObject_GenericGetAttr, /* tp_getattro */
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278 | 0, /* tp_setattro */
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279 | 0, /* tp_as_buffer */
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280 | Py_TPFLAGS_DEFAULT, /* tp_flags */
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281 | 0, /* tp_doc */
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282 | 0, /* tp_traverse */
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283 | 0, /* tp_clear */
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284 | 0, /* tp_richcompare */
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285 | 0, /* tp_weaklistoffset */
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286 | PyObject_SelfIter, /* tp_iter */
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287 | (iternextfunc)rangeiter_next, /* tp_iternext */
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288 | rangeiter_methods, /* tp_methods */
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289 | 0,
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290 | };
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291 |
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292 | static PyObject *
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293 | range_iter(PyObject *seq)
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294 | {
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295 | rangeiterobject *it;
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296 |
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297 | if (!PyRange_Check(seq)) {
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298 | PyErr_BadInternalCall();
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299 | return NULL;
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300 | }
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301 | it = PyObject_New(rangeiterobject, &Pyrangeiter_Type);
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302 | if (it == NULL)
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303 | return NULL;
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304 | it->index = 0;
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305 | it->start = ((rangeobject *)seq)->start;
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306 | it->step = ((rangeobject *)seq)->step;
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307 | it->len = ((rangeobject *)seq)->len;
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308 | return (PyObject *)it;
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309 | }
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310 |
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311 | static PyObject *
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312 | range_reverse(PyObject *seq)
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313 | {
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314 | rangeiterobject *it;
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315 | long start, step, len;
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316 |
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317 | if (!PyRange_Check(seq)) {
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318 | PyErr_BadInternalCall();
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319 | return NULL;
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320 | }
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321 | it = PyObject_New(rangeiterobject, &Pyrangeiter_Type);
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322 | if (it == NULL)
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323 | return NULL;
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324 |
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325 | start = ((rangeobject *)seq)->start;
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326 | step = ((rangeobject *)seq)->step;
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327 | len = ((rangeobject *)seq)->len;
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328 |
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329 | it->index = 0;
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330 | it->len = len;
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331 | /* the casts below guard against signed overflow by turning it
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332 | into unsigned overflow instead. The correctness of this
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333 | code still depends on conversion from unsigned long to long
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334 | wrapping modulo ULONG_MAX+1, which isn't guaranteed (see
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335 | C99 6.3.1.3p3) but seems to hold in practice for all
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336 | platforms we're likely to meet.
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337 |
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338 | If step == LONG_MIN then we still end up with LONG_MIN
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339 | after negation; but this works out, since we've still got
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340 | the correct value modulo ULONG_MAX+1, and the range_item
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341 | calculation is also done modulo ULONG_MAX+1.
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342 | */
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343 | it->start = (long)(start + (unsigned long)(len-1) * step);
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344 | it->step = (long)(0UL-step);
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345 |
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346 | return (PyObject *)it;
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347 | }
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