Increase accuracy of float -> fixed in ICC code
Add a comment to SkFixed explaining the accuracy issues of the macros. Bug: skia: Change-Id: Ibfecb16821fefe87822cc3acd1cf8498df10a492 Reviewed-on: https://skia-review.googlesource.com/85742 Reviewed-by: Brian Osman <brianosman@google.com> Commit-Queue: Brian Osman <brianosman@google.com>
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@ -30,6 +30,11 @@ typedef int32_t SkFixed;
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#define SK_FixedTanPIOver8 (0x6A0A)
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#define SK_FixedRoot2Over2 (0xB505)
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// NOTE: SkFixedToFloat is exact. SkFloatToFixed seems to lack a rounding step. For all fixed-point
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// values, this version is as accurate as possible for (fixed -> float -> fixed). Rounding reduces
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// accuracy if the intermediate floats are in the range that only holds integers (adding 0.5f to an
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// odd integer then snaps to nearest even). Using double for the rounding math gives maximum
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// accuracy for (float -> fixed -> float), but that's usually overkill.
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#define SkFixedToFloat(x) ((x) * 1.52587890625e-5f)
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#define SkFloatToFixed(x) sk_float_saturate2int((x) * SK_Fixed1)
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@ -281,25 +281,33 @@ static constexpr uint32_t kICCTagTable[3 * kICCNumEntries] {
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SkEndian_SwapBE32(kTAG_cprt_Bytes),
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};
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// This is like SkFloatToFixed, but rounds to nearest, preserving as much accuracy as possible
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// when going float -> fixed -> float (it has the same accuracy when going fixed -> float -> fixed).
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// The use of double is necessary to accomodate the full potential 32-bit mantissa of the 16.16
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// SkFixed value, and so avoiding rounding problems with float. Also, see the comment in SkFixed.h.
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static SkFixed float_round_to_fixed(float x) {
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return sk_float_saturate2int((float)floor((double)x * SK_Fixed1 + 0.5));
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}
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static void write_xyz_tag(uint32_t* ptr, const SkMatrix44& toXYZ, int col) {
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ptr[0] = SkEndian_SwapBE32(kXYZ_PCSSpace);
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ptr[1] = 0;
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ptr[2] = SkEndian_SwapBE32(SkFloatToFixed(toXYZ.getFloat(0, col)));
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ptr[3] = SkEndian_SwapBE32(SkFloatToFixed(toXYZ.getFloat(1, col)));
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ptr[4] = SkEndian_SwapBE32(SkFloatToFixed(toXYZ.getFloat(2, col)));
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ptr[2] = SkEndian_SwapBE32(float_round_to_fixed(toXYZ.getFloat(0, col)));
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ptr[3] = SkEndian_SwapBE32(float_round_to_fixed(toXYZ.getFloat(1, col)));
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ptr[4] = SkEndian_SwapBE32(float_round_to_fixed(toXYZ.getFloat(2, col)));
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}
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static void write_trc_tag(uint32_t* ptr, const SkColorSpaceTransferFn& fn) {
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ptr[0] = SkEndian_SwapBE32(kTAG_ParaCurveType);
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ptr[1] = 0;
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ptr[2] = (uint32_t) (SkEndian_SwapBE16(kGABCDEF_ParaCurveType));
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ptr[3] = SkEndian_SwapBE32(SkFloatToFixed(fn.fG));
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ptr[4] = SkEndian_SwapBE32(SkFloatToFixed(fn.fA));
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ptr[5] = SkEndian_SwapBE32(SkFloatToFixed(fn.fB));
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ptr[6] = SkEndian_SwapBE32(SkFloatToFixed(fn.fC));
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ptr[7] = SkEndian_SwapBE32(SkFloatToFixed(fn.fD));
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ptr[8] = SkEndian_SwapBE32(SkFloatToFixed(fn.fE));
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ptr[9] = SkEndian_SwapBE32(SkFloatToFixed(fn.fF));
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ptr[3] = SkEndian_SwapBE32(float_round_to_fixed(fn.fG));
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ptr[4] = SkEndian_SwapBE32(float_round_to_fixed(fn.fA));
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ptr[5] = SkEndian_SwapBE32(float_round_to_fixed(fn.fB));
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ptr[6] = SkEndian_SwapBE32(float_round_to_fixed(fn.fC));
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ptr[7] = SkEndian_SwapBE32(float_round_to_fixed(fn.fD));
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ptr[8] = SkEndian_SwapBE32(float_round_to_fixed(fn.fE));
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ptr[9] = SkEndian_SwapBE32(float_round_to_fixed(fn.fF));
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}
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static bool is_3x3(const SkMatrix44& toXYZD50) {
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